Answer:
75 minutes
Step-by-step explanation:
The number of minutes for Mia to finish her homework is A = 30 minutes
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the proportion be represented as A
Now , the value of A is
If Mia finished 60% of her homework in 45 minutes, that means she has 40% of her homework left to complete.
Let x be the number of minutes it takes Mia to complete all of her homework:
So , the proportion is
60% completed / 45 minutes = 40% left / A minutes
To solve for A , we can cross-multiply:
60% completed x A minutes = 45 minutes x 40% left
0.6A = 18
Dividing both sides by 0.6 , we get
A = 30
Hence , it will take Mia 30 minutes to complete all of her homework
To learn more about proportion click :
https://brainly.com/question/7096655
#SPJ2
PLEASE HELP!!
If the measure of a central angle is 28°, then to find the measure of its arc, you would need to do which of the following?
Nothing, they are equal.
Multiply the angle measure by 2.
Divide the angle measure by 2.
Answer:
Nothing, they are equal.
Step-by-step explanation:
we know that
The measure of an arc length is equal to the measure of its central angle
therefore
In this problem
If the central angle is 28°
then
The measure of its arc is 28° too
Answer:
Nothing they are equal.
Step-by-step explanation:
the measure of a central angle is the same as its arc.
what is the decimal form of 63/100
Answer:
0.63
Step-by-step explanation:
63 divided by 100 on a calculator would get you the answer.
63 divide bye 100 will give you 0.63
63/100=0.63
Which trigonometric functions are negative in the fourth (IV) quadrant?
Explanation:
On the unit circle we have some point (x,y) such that x = cos(theta) and y = sin(theta). The sine corresponds to the y coordinate of the point on the circle. Quadrant IV is below the x axis which explains why sine is negative here, since y < 0 here.
Since sine is negative, so is cosecant as this is the reciprocal of sine
csc = 1/sin
In quadrant IV, cosine is positive as x > 0 here. So the ratio tan = sin/cos is going to be negative. We have a negative over a positive when we divide.
Because tangent is negative, so is cotangent.
The only positive functions in Q4 are cosine and secant, which is because sec = 1/cos.
Quadrant is the region enclosed by the intersection of the X-axis and the Y-axis.
Trigonometric functions sine , tangent , cotangent , and cosecant are negative in fourth quadrant.
In first quadrant, all trigonometric function will be positive.
In second quadrant, only sine and cosecant trigonometric function is positive.
In third quadrant, only tangent and cotangent will be positive.
In fourth quadrant, only cosine and secant will be positive . Therefore, Trigonometric functions sine , tangent , cotangent , and cosecant are negative in fourth quadrant.
Learn more:
https://brainly.com/question/16997714
Given: LM ∥ KN, KL ∥ NM
LP = h1 = 5, MQ = h2 = 6
Perimeter of KLMN = 42
Find: Area of KLMN
Answer:
57 3/11 square units
Step-by-step explanation:
The area of a parallelogram is the product of its height and the length of the perpendicular base. The given conditions allow us to find the area two ways. Of course, the area is the same in each case, so ...
area(KLMN) = KN·LP = KL·MQ
KN·5 = KL·6 . . . . . substituting the given numbers
KL = (5/6)·KN . . . . solve for one of the lengths in terms of the other
Now, the perimeter is the sum of the side lengths, and opposite sides are the same length, so we have the relation ...
perimeter(KLMN) = KN + KL + KN + KL = 2(KN +KL)
42 = 2(KN +(5/6)KN) = (11/3)KN . . . . . substitute for KL from above
KN = 42·(3/11) . . . . . . multiply by 3/11
area(KLMN) = KN·5 = (42·3/11)·5 = 630/11 = 57 3/11
_____
Check
KN = 126/11
KL = 5/6·KN = 105/11
KN·5 = 630/11 = KL·6 = 630/11 . . . . . areas match
KL+KN = 231/11 = 21 = half the perimeter . . . . . perimeter agrees
The points on this graph represent a relationship between x- and y-values. Which statement about the relationship is true?
See in the explanation
Explanation:Recall that you have to write complete question in order to get good and precise answers. I found a similar question and attached the options below. However, the question has missing graph, too. So let's face this problem in a general way.
1. It must be proportional because the points lie on the same line.
The points not not only must lie on the same line, but that line must pass through the origin because two quantities x and y are directly proportional if we can write an expression:
[tex]y=kx \\ \\ Being \ k \ the \ constant \ of \ proportionality[/tex]
That is, if x increases, y also increases at the same rate.
2. It must be proportional because each time x increases by 2, y stays the same.
In this case as x increases by 2, y stays the same, meaning that this relationship is constant. So in this case they aren't proportional, but we can write:
[tex]y=c \\ \\ Being \ a \ real \ constant[/tex]
3. It cannot be proportional because the y-values are not whole numbers:
This doesn't make sense. The only condition for a direct proportion is that the line must pass through the origin and for any constant of proportionality [tex]k[/tex]
4. It cannot be proportional because a straight line through the points does not go through the origin:
This is is true because the definition of direct proportion is that the line passes through the origin for some constant k:
[tex]y=kx[/tex]
So if I could see the graph, I'd choose the fourth option.
Learn more:Proportional Relationships: https://brainly.com/question/674693
#LearnWithBrainly
Answer:
it cannot be proportional because a straight line through the point does not go through the origin
Step-by-step explanation:
Jasmine. made a pitcher of lemonade. One pitcher contains 12 glasses of lemonade. After Jasmine serves 4 glasses of lemonade, how many more glasses, g, can she serve?
Answer:
8 more glasses
Step-by-step explanation:
12-4=8
Final answer:
After serving 4 glasses of the original 12 glasses of lemonade, Jasmine can serve 8 more glasses. We calculate this by subtracting the number of glasses already served from the total number of glasses the pitcher contains.
Explanation:
Jasmine made a pitcher of lemonade that contains 12 glasses. After she serves 4 glasses of lemonade, we can calculate how many more glasses, g, she can serve by subtracting the number of glasses served from the total number of glasses that the pitcher initially had. The equation then becomes: 12 glasses - 4 glasses = g.
To find the value of g, we subtract 4 from 12, which gives us:
g = 12 - 4 = 8
Therefore, Jasmine can serve 8 more glasses of lemonade from the pitcher.
The transformation (x,y) (x+4,y-3 is performed on the segment AB.The imgae is the line segment A’B’ where point A’=(3,-3) and point B’ =(5,-3).What are the coordinates of A and B in the line segment AB
Answer:
[tex]A= (-1,0)\\B=(1,0)[/tex]
Step-by-step explanation:
The transformation of the segment AB is:
[tex](x+4,\ y-3)[/tex]
Given the points of the line segment A'B':
[tex]A'=(3,-3)[/tex] and [tex]B'=(5,-3)[/tex]
The coordinates of the points A and B in the line segment AB,can be calculated through this procedure:
For A:
x-coordinate:
Substitute the x-coordinate of A' (we can represent it with[tex]x_{(A')}[/tex]) into [tex]x_{(A')}=x_A+4[/tex] and solve for [tex]x_{A}[/tex], which is the x-coordinate of A:
[tex]x_{(A')}=x_A+4\\\\3=x_A+4\\\\3-4=x_A\\\\x_A=-1[/tex]
y-coordinate:
Substitute the y-coordinate of A' (we can represent it with[tex]y_{(A')}[/tex]) into [tex]y_{(A')}=y_A-3[/tex] and solve for [tex]y_{A}[/tex], which is the y-coordinate of A:
[tex]y_{(A')}=y_A-3\\\\-3=y_A-3\\\\-3+3=y_A\\\\y_A=0[/tex]
The point of A is: (-1,0)
For B:
x-coordinate:
Substitute the x-coordinate of B' (we can represent it with[tex]x_{(B')}[/tex]) into [tex]x_{(B')}=x_B+4[/tex] and solve for [tex]x_{B}[/tex], which is the x-coordinate of B:
[tex]x_{(B')}=x_B+4\\\\5=x_B+4\\\\5-4=x_B\\\\x_B=1[/tex]
y-coordinate:
Substitute the y-coordinate of B' (we can represent it with[tex]y_{(B')}[/tex]) into [tex]y_{(B')}=y_B-3[/tex] and solve for [tex]y_{B}[/tex], which is the y-coordinate of B:
[tex]y_{(B')}=y_B-3\\\\-3=y_B-3\\\\-3+3=y_B\\\\y_B=0[/tex]
The point of B is: (1,0)
The original coordinates of points A and B on the line segment AB, before the transformation, are (-1, 0) and (1, 0), respectively, as found by applying the inverse of the transformation to the coordinates of A' and B'.
To find the original coordinates of the line segment AB before the transformation, we need to apply the inverse of the given transformation to the new coordinates of A' and B'. The transformation is given by (x, y) → (x+4, y-3), so the inverse would be (x', y') → (x'-4, y'+3).
For point A' with coordinates (3, -3), applying the inverse transformation gives us:
A = (3-4, -3+3) = (-1, 0)
For point B' with coordinates (5, -3), applying the inverse transformation gives us:
B = (5-4, -3+3) = (1, 0)
Therefore, the original coordinates of points A and B on the line segment AB are (-1, 0) and (1, 0), respectively.
Find the slope of the line. 5x – 2y = 7
Answer:
Final answer is slope [tex]m=\frac{5}{2}[/tex]
Step-by-step explanation:
Given equation is [tex]5x-2y=7[/tex]
Now question says to find the slope.
Since given equation [tex]5x-2y=7[/tex] is a linear equation so we need to compare [tex]5x-2y=7[/tex] with slope intercept formula [tex]y=mx+b[/tex] to get the value of slope m.
Since [tex]5x-2y=7[/tex] is not in that form so first let's rewrite it in y=mx+b form
[tex]5x-2y=7[/tex]
[tex]-2y=-5x+7[/tex]
[tex]y=\frac{-5x+7}{-2}[/tex]
[tex]y=\frac{5}{2}x-\frac{7}{2}[/tex]
Now comparing with y=mx+b, we get [tex]m=\frac{5}{2}[/tex]
Hence final answer is slope [tex]m=\frac{5}{2}[/tex]
Answer:
Slope = 5/2
Step-by-step explanation:
It is given an equation of line 5x – 2y = 7
To find the slope of equation we have to rewrite this equation in y = mx + c form
To convert the given equation to y = mx + c
The given equation is
5x – 2y = 7
⇒ 5x + 7 = 2y
⇒ 2y = 5x + 7
⇒ y = (5x + 7)/2
y = 5x/2 + 7/2
The above equation is of the form y = mx + c
Here slope = m = 5/2
What is the inverse of the conditional statement if a polygon has five angles
Answer:
If a polygon does not have five angles, then it is not a pentagon.
Step-by-step explanation:
The conditional statement is : if a polygon has five angles, then it is a pentagon.
The conditional statement is in the form of :
"If p, then q", then its inverse statement is in the form "If not p, then not q".
So, answer will be : If a polygon does not have five angles, then it is not a pentagon.
51 in feet and inches
612 inches is the answer to your question
To convert 51 inches to feet and inches, divide by 12 to get 4 feet with a remainder of 3 inches, making the final measurement 4 feet 3 inches.
Explanation:To convert 51 inches to feet and inches, we need to know that there are 12 inches in a foot.
Therefore, we can divide 51 by 12 to find out how many full feet we have and then take the remainder as the leftover inches.
To perform the calculation:
Divide 51 by 12 which equals 4 with a remainder of 3.So, 51 inches is equivalent to 4 feet 3 inches.This conversion from inches to feet and inches is commonly used in various measurements such as personal height, the length of materials, or dimensions for construction.
Dan is trying to find a new cell phone plan. Throttle Talks offers a plan for $64.19 a month, plus $2.04 for each megabyte of data. Clutch Cells offers a plan for $63.69 a month, plus $2.09 for each megabyte of data. How many megabytes of data will Dan have to use in one month for the cell phone plans to cost him the same amount?
A. 8.06
B. The cost will never be the same.
C. 5
D. 10
Answer:
D. 10
Step-by-step explanation:
THE CYLINDRICAL CAN CONTAINS 1500 CM3 OF COCUNUT MILK. THE HEIGHT OF THE CAN IS 15 CM. CALCULATE THE RADIUS OF THE CAN.
Final answer:
To calculate the radius of the cylindrical can, we use the volume of a cylinder formula, V = πr²h. After substituting the given values and solving for r, the radius of the can is found to be approximately 5.64 cm.
Explanation:
To find the radius of the cylindrical can that contains 1500 cm³ of coconut milk with a height of 15 cm, we can use the formula for the volume of a cylinder, V = πr²h, where V is the volume, r is the radius, and h is the height.
Given V = 1500 cm³ and h = 15 cm, we can rearrange the formula to solve for r (radius).
The rearranged formula is r = √(V/(πh))
Plug the values into the formula:
r = √(1500 cm³/(3.142 × 15 cm))
r = √(1500/47.13)
r = √(31.83)
r ≈ 5.64 cm
Therefore, the radius of the can is approximately 5.64 cm.
There are two pipes. Twice the water flow in the hot water pipe is equal to three times the water flow from the cold pipe. Combined it equals 1200 L/hour. What is the flow in each pipe?
Answer:
rate of flow of hot water = 480 L/hour
and rate of flow of cold water = 720 L/hour
Step-by-step explanation:
Suppose rate of flow of hot water = x
and rate of flow of cold water = y
Given that,
Twice the water flow in the hot water pipe is equal to three times the water flow from the cold pipe.
Combined it equals 1200 L/hour.
According to the question
Equation 12x = 3y
Equation 2x + y = 1200
x = 1200 - y
put this value of x in equation1
2(1200-y) = 3y
2400 - 2y = 3y
2400 = 5y
y = 480
x = 3(480)/2
x = 720
The flow rate in the hot water pipe is 720 L/hour, and the flow rate in the cold water pipe is 480 L/hour, solved through a system of linear equations.
Explanation:The student's question involves solving a system of linear equations to find the flow rate in each pipe. The problem states that twice the flow in the hot water pipe is equal to three times the flow in the cold water pipe, and that combined, the flow is 1200 L/hour.
Let's define the flow in the hot water pipe as H liters per hour and the flow in the cold water pipe as C liters per hour. The two given conditions can be translated into the following equations:
2H = 3C (Equation 1)H + C = 1200 (Equation 2)To solve for H and C, we can use substitution or elimination method. First, we can solve Equation 1 for H to get:
H = 1.5C
Now, we substitute H in Equation 2 with 1.5C:
1.5C + C = 1200
Combining like terms, we get:
2.5C = 1200
Dividing both sides by 2.5, we find the flow rate of the cold pipe:
C = 1200 / 2.5
C = 480 L/hour
Now we can substitute C back into the equation for H to find the hot water flow:
H = 1.5 * 480
H = 720 L/hour
Therefore, the flow rate in the hot water pipe is 720 L/hour, and the flow rate in the cold pipe is 480 L/hour.
Write the equation of a line parallel to the line whose equation is 3y+5x=6 and whose y-intercept is4
Answer:
Step-by-step explanation:
Step 1: rewrite the equation of the given line in to slope-intercept form by solving for y
3y + 5x = 6
3y = -5x + 6 (subtract 5x from both sides)
y = -(5/3)x + 2 (divide both sides by 3)
Step 2: Our line is parallel to this line, so it has the same slope, and a
y-intercept of 4, so we have...
y = -(5/3)x + 4
*slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept,
The experimental probability of spinning a number greater than 3 is
The experimental probability of spinning a number greater than 3 is 2/5
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
The total times spun is 14+12+16+15+13
We get 70
Add all of the times spun to get 70. To get 16/70 then divide by 2 to get 8/35.
The spun greater than three are 15+13
which is 28
Now Probability of an Event P(E) = Number of times an event occurs / Total number of trials.
=28/70
=14/35
=2/5
Hence, the experimental probability of spinning a number greater than 3 is 2/5
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ3
Which of these is a negotiation skill
are there any options?????
Answer:
where are the Answers to choose from?
Step-by-step explanation:
5 50/100 - 2 72/100=
For this case, we convert the mixed numbers into fractions:
[tex]5 \frac {50} {100} = \frac {100 * 5 + 50} {100} = \frac {550} {100} = \frac {55} {10} = 5.5[/tex]
[tex]2 \frac {72} {100} = \frac {100 * 2 + 72} {100} = \frac {272} {100} = 2.72[/tex]
Now, rewriting the expression in three equivalent forms we have:
[tex]\frac {550} {100} - \frac {272} {100} = \frac {278} {100}[/tex]
[tex]5.5-2.72 = 2.78\\2 \frac {78} {100}[/tex]
Answer:
[tex]2 \frac {78} {100}[/tex]
the product of-5 and a number is greater than 35 or less than 10
Inequality shows a relationship between two numbers or two expressions.
The number is between -7 and -2.
i.e
-7 < M < -2
What is inequality?Inequalities show a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal =
Greater than and equal=
Example:
2x > 4
3x < 7
We have,
Let the number be = M
If the product of -5 and a number is greater than 35 or less than 10.
The product of -5 and a number greater than 35 can be written as
-5M > 35 _____(1)
The product of -5 and a number less than 10 can be written as
-5M < 10 _____(2)
From (1) we get,
M > 35/-5
M > -7 _____(3)
From (2) we get,
M < 10/-5
M < -2 ______(4)
From (3) and (4) we get,
-7 < M < -2
Thus
The number is between -7 and -2.
i.e
-7 < M < -2
Learn more about inequalities here:
https://brainly.com/question/20383699
#SPJ2
Final answer:
The question asks to solve two inequalities resulting from the product of -5 and a number being greater than 35 or less than 10. The solution reveals the number must be either smaller than -7 or greater than -2.
Explanation:
The student's question relates to an inequality involving multiplication with a negative number. The statement 'the product of -5 and a number is greater than 35 or less than 10' can be translated into two separate inequalities because of the 'or.' They are as follows:
-5x > 35
-5x < 10
To solve these inequalities, you would divide each side by -5. Remember the rule: when you divide or multiply an inequality by a negative number, you must flip the inequality sign.
For -5x > 35:
x < -7
For -5x < 10:
x > -2
Therefore, the number must be either smaller than -7 or greater than -2.
which expressions are polynomials? x-1, 6+p, 8x-z^3, 5x^2-√x
The answer is:
- [tex]x-1[/tex]
- [tex]6+p[/tex]
- [tex]8x-z^{3}[/tex]
Why?A polynomial is a mathematical expression that contains constant values like numbers, and variables like "x, y, z or p", these constants and variables can indicate algebraic operations like addition, subtraction, division, and product. The variables can have exponent numbers that define the degree of a polynomial.
- [tex]x-1[/tex] it's a polynomial because it have a constant value (1) and a variable (x), it's a first degree polymonial.
- [tex]6+p[/tex] it's a polynomial because it have a constant value (6) and a variable (p), it's a first degree polynomial.
- [tex]8x-z^{3}[/tex] it's a polynomial since it have a combination of two variables (x and z), it's a third degree polynomial since the largest exponent is 3.
- [tex]5x^{2} -\sqrt{x}[/tex] is not a polynomial since it have a square root. Polynomials does not contains roots.
Have a nice day!
write one way or representing the equation of the given line in point-slope form. then write the equation in slope-intercept form. (-2,4) (1,-1)
Answer:
[tex]y + 1 =-\frac{5}{3}(x-1)[/tex]
[tex]y = -\frac{5}{3}x + \frac{2}{3}[/tex]
Step-by-step explanation:
To write the equation of a line you need a point and a slope. Use the two points given to find the slope.
[tex]m = \frac{-1 - 4}{1--2} = \frac{-5}{3}[/tex]
Substitute m = -5/3 and the point (1,-1) into the point slope form.
[tex]y - y_1 = m(x-x_1)\\y --1 = -\frac{5}{3}(x-1)\\y + 1 =-\frac{5}{3}(x-1)[/tex]
Use the distributive property to convert to slope intercept form.
[tex]y + 1 = -\frac{5}{3}x + \frac{5}{3}\\y = -\frac{5}{3}x + \frac{5}{3} - 1\\y = -\frac{5}{3}x + \frac{2}{3}[/tex]
When adding 193 + 564 the sum of 90 is called a?
Answer: mental maths
Step-by-step explanation:
The sum or the addition of the numbers 193 and 564 will be 757.
What is addition?
In mathematics, addition is defined as the summing up the two quantities or adding the two numbers it is denoted by + sign.
It is given that there are two numbers 193 and 564 so the sum will be calculated as:-
Addition = 193+564
Addition =757
Hence sum or the addition of the numbers 193 and 564 will be 757.
To know more about addition follow
https://brainly.com/question/25421984
#SPJ2
Please help me with this
Answer:
AB = 2*sqrt(5) or
AB = 4.47
Step-by-step explanation:
AB is the hypotenuse of a right triangle A and B and the corner where 2 and 4 meet.
The length of AB is governed by the Pythagorean Theorem.
AB^2 = x^2 + y^2 Substitute 2 and 4 for x and y
AB^2 = 2^2 + 4^2 Expand the right side
AB^2 = 4 + 16 Add the right side
AB^2 = 20 Take the square root of both sides
sqrt(AB^2) = sqrt(20)
Factor 20 = 2*2 *5
Rule: when taking the square root of a number the pairs can take 1 member of the pair outside the root sign and throw the other one a way.
AB = 2 * sqrt(5) One of the roots has been thrown away.
What is 0.955 rounded to the nearest tenth of an inch
Answer:
1.0
Step-by-step explanation:
the 9 would round up because the number to its right is 5 or more but since 9 rounds to 10, the one would carry over to the ones place
Place value can be defined as the value of a digit in a given number. Examples of place value are : Ten Thousand, Thousands, Hundreds, Tens, Ones, Tenth, Hundredth, Thousandth, Ten Thousandth e.t.c
0.955 rounded to the nearest tenth of an inch is 1.0.
Rounding up 0.955 to the nearest tenth:
The number 9 is in the tenth position.After the number 9 is the number 5.
The next smallest place value is greater than or equal to five, so the value of the digit I am rounding up will be increased you're rounding to by (+1).
So we add 1 to the number 9.
Therefore, 0.955 rounded to the nearest tenth of an inch is 1.0.
To learn more, visit the link below:
https://brainly.com/question/7103773
-|2-5| _________ (8-11) compare using < , > or =
Here is your answer
=
REASON:
On solving the given two terms
-|2-5|= -|-3|
= -3 (since |-3|=3)
and,
(8-11)
= -3
Hence,
-|2-5| = (8-11)
HOPE IT IS USEFUL
Final answer:
After calculating the absolute value of (2-5) which is 3, and (8-11) which is -3, we conclude that |2-5| is greater than (8-11), so the right comparison operator is '>'.
Explanation:
The student is asking to compare the absolute value of the difference between 2 and 5 with the difference between 8 and 11 using one of the comparison operators: less than (<), greater than (>), or equal to (=). The absolute value of a number is the non-negative value of that number without regard to its sign. The difference of two numbers is calculated by subtracting the second number from the first one.
To solve the given comparison |2-5| ? (8-11), first, we find the value of each expression. The absolute value of (2-5) is |2-5| = |-3| = 3 because the absolute value of a negative number is its positive counterpart.
For the second expression, (8-11), we simply subtract 11 from 8 to get 8-11 = -3. Now we compare 3 and -3. Since 3 is greater than -3, we can conclude that 3 > -3.
Therefore, |2-5| > (8-11).
the sum of ages of will and annette is 20. how old is annette?
she could be any age from 1-19
Answer:
Step-by-step explanation:
The age is = (20) - (Annette Age)
How many times smaller is the volume of a triangular prism if the height is divided by 4?
Answer:
The volume of the triangular prism is 4 times smaller than the original triangular prism
Step-by-step explanation:
we know that
The volume of of the triangular prism is equal to
[tex]V=Bh[/tex]
where
B is the area of the triangular base
h is the height of the prism
If the height is divided by 4
then
The new volume is equal to
[tex]V=Bh/4[/tex]
therefore
The volume of the triangular prism is 4 times smaller than the original triangular prism
Which speed is faster 20 yards in 1.5 hours or 90 feet in 2.5 hours
To start this question, put all of the terms in the same unit. Yards and feet aren’t equivalent, but a simple multiplication can put them in the same unit (1 yard = 3 feet).
60 feet in 1.5 hours vs. 90 feet in 2.5 hours
Now, put the distance travelled by each in the same amount of time. You can reduce these to one hour each, or you can multiply both by a common denominator to save some fraction work (the first CD I can calculate is 30 hours, so multiply each fraction by the necessary number to bring the denominator to 30).
(60 feet/1.5 hours) x 15 = 900 ft/30 hours
(90 feet/2.5 hours) x 12 = 1080 ft/30 hours
1080 feet in 30 hours is greater than 900 feet in 30 hours, so 90 feet in 2.5 hours is faster than 20 yards in 1.5 hours.
Hope this helps!
An architect built a scale model of a sports stadium using a scale in which 2 inches represents 30 feet.
What is the height of the scale model in inches?
A} 3in
B} 105in
C} 12in
D} 60in
PLEASE HELP!!! AND SHOW WORK!!!
Answer:
C
Step-by-step explanation:
The scale is on 2 inches represents 30 feet that means for every 30 feet it's to inches on the scale and the stadium is 180 feet
180/30 to get 6 then times 6 by 2 to get 12. Because there 6 sets of 30 in 180. That's 12 on the scale because there 2 inches for every 30 feet that why you time the 6 by 2 to get 12 inches
I hope this helps you
Find the distance between the points (5.5) and (3.7). Round your answer to the nearest tenth, if necessary.
Answer:
2.8
Step-by-step explanation:
The formula for the distance between point is
For points (x1, y1) and (x2, y2),
[tex]d = \sqrt{(x1-x2)^{2} + (y1-y2)^{2} }[/tex]
So you would plug into your calculator:
[tex]\sqrt{(5-3)^{2} +(5-7)^{2} }[/tex]
To get an answer of 2.8 when rounded to the nearest tenth.
Point O is the center of the circle. What is the value of X?
Answer options: 9, 17, 8, 15
Answer:
x = 15
Step-by-step explanation:
OP and PQ intersect at right angles since PQ is tangent to the circle. This implies that OQ will be the hypotenuse in the right angled triangle OPQ.
Applying Pythagoras theorem;
17^2 - 8^2 = x^2
x = 15