Find the lengths of the missing sides if side a is opposite angle a, side b is opposite angle b, and side c is the hypotenuse.
For the given function, find the vertical and horizontal asymptote(s) (if there are any). f(x) = the quantity x squared plus three divided by the quantity x squared minus nine
If six plus two what does it equal
Which of these fractions can be written as a recurring decimal 1/2 1/3 1/4 1/5
Math... ಠ_ಠ
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Marcello is constructing the perpendicular bisector of AB¯¯¯¯¯. He has already constructed arcs as shown.
What should Marcello do for his next step?
A. Use the straightedge to draw AX←→ and AY←→.
B. Use the straightedge to draw a line through points X and Y.
C. Place the point of the compass on point X and draw an arc, using AX as the width for the opening of the compass.
D. Place the point of the compass on point X and draw an arc, using AY as the width for the opening of the compass.
A histogram can help you make predictions about a set of data. True False
Mark the statements that are true.
A. An angle that measures is a reflex angle.
B. An angle that measures 65 is an acute angle.
C. An acute angle measures less than .
D. An angle that measures 300 is an obtuse angle.
The correct options are B. An angle that measures 65 is an acute angle. and C. An acute angle measures less than 90 degrees.
To determine the truth of each statement, let's analyze each option:
A. An angle that measures 180 degrees is a reflex angle.
This statement is false. An angle that measures exactly 180 degrees is a straight angle, not a reflex angle. A reflex angle is greater than 180 degrees but less than 360 degrees.
B. An angle that measures 65 degrees is an acute angle.
This statement is true. An acute angle is an angle that measures less than 90 degrees. Since 65 degrees is less than 90 degrees, it is indeed an acute angle.
C. An acute angle measures less than 90 degrees.
This statement is true. By definition, an acute angle is any angle whose measure is less than 90 degrees.
D. An angle that measures 300 degrees is an obtuse angle.
This statement is false. An obtuse angle is an angle that measures more than 90 degrees but less than 180 degrees. Since 300 degrees is greater than 180 degrees, it is not an obtuse angle but rather a reflex angle.
HELP URGENT NEED TO PASS :(((((
Tape diagram to subtract 33-19
To subtract 19 from 33 using a tape diagram, draw a rectangle labeled 33, mark off a section labeled 19, and the unshaded difference represents the result, which is 14.
To create a tape diagram to show the subtraction of 33-19, we start by drawing a long rectangle to represent the number 33. We then mark off the length that represents the number 19 on the same tape, indicating the part we want to subtract. Lastly, the remaining part of the tape diagram represents the difference between the two numbers.
Draw a rectangle and label it 33.Mark a section of the rectangle and label it 19.Shade in or distinguish the remaining part of the rectangle; this is the result of 33 minus 19.See the unshaded part, which represents the difference, and count if necessary to find that it equals 14.The final result is the length of the unshaded part of the tape diagram, which shows the difference when you subtract 19 from 33.
Julie needs 3 lengths of string that are each 6 inches long. Marlene needs 7 lengths of string that are each 8 inches long.
How much string do the girls need altogether?
in.
Hurry When solving a system of equations, Jared found y = x 10 for one equation and substituted x 10 for y in the other equation. Nicole found x = y – 10 for the same equation and substituted y – 10 for x in the other equation. Who is correct? Explain.
Jared and Nicole both have found the correct value and will get the same solution to the system of equations.
Given information:
Jared found that [tex]y = \dfrac{x} {10}[/tex] for one equation and substituted [tex]\dfrac{x}{10}[/tex] for y in the other equation.
Nicole found [tex]x = y -10[/tex] for the one equation and substituted [tex]y -10[/tex] for x in the other equation.
So, there are two equations. Based on the question, the equation should be,
[tex]x=10y[/tex] and [tex]y-x=10[/tex].
Now, Jared and Nicole have found the value of one variable from one equation and have put it in the other equation.
This method is the substitution method which is used to find the solution of the system of equations.
Therefore, Jared and Nicole both have found the correct value and will get the same solution to the system of equations.
For more details, refer to the link:
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Which function below has the smallest slope?
f(x)
f(x) = 2x − 3
g(x)
graph going through (0, negative 5) and (4, 3)
h(x)
x h(x)
−1 3
1 7
3 11
f(x)
g(x)
h(x)
The functions all have the same slope
Answer: The functions all have the same slope
Step-by-step explanation:
just took the assessment and I got it right.
A total of 820 tickets were sold for the school play. they were either adult tickets or student tickets. there were 70 more student tickets sold than adult tickets. how many adult tickets were sold?
By setting up a system of equations, we find that 375 adult tickets were sold for the school play.
To solve this problem, we need to set up a system of equations using the information provided:
There are only two types of tickets: adult tickets and student tickets.A total of 820 tickets were sold.There were 70 more student tickets sold than adult tickets.Let's define the following variables:
A for the number of adult tickets.S for the number of student tickets.According to the problem:
A + S = 820 (since the total number of tickets is 820)S = A + 70 (since there are 70 more student tickets than adult tickets)Now we substitute the second equation into the first:
A + (A + 70) = 8202A + 70 = 8202A = 750A = 375So, 375 adult tickets were sold.
Eli needs to save $235. to earn money, he plans to mow lawns and charge $21 for each, write two estimates eli could use to determine the number of lawns he needs to mow. decide which estimate you think is the better one for eli to use
The diameter of the circle above is 94 cm. what is the circumference of the circle? (use = 3.14.)
Which arrangement shows 26/4 , 6.45, 6 2/5 , and 50/8 in order from least to greatest?
{A} 6 2/5 , 50/8 , 6.45, 26/4
{B} 50/8 , 6 2/5 , 26/4 , 6.45
{C} 26/4 , 50/8 , 6 2/5 , 6.45
{D} 50/8 , 6 2/5 , 6.45, 26/4
Answer:
Option D) [tex]\displaystyle\frac{50}{8} < 6\frac{2}{5} < 6.45 < \frac{26}{4}[/tex]
Step-by-step explanation:
We are given the following information in the question:
We are given a set of numbers:
[tex]\displaystyle\frac{26}{4}, 6.45, 6\frac{2}{5}, \frac{50}{8}[/tex]
First, we write all the numbers in decimal form.
[tex]\displaystyle\frac{26}{4} = 6.5\\\\6\frac{2}{5} = \frac{32}{5} = 6.4\\\\\frac{50}{8} = 6.25[/tex]
Hence, the given numbers are:
6.5, 6,45, 6.4, 6.25
Arranging in order of least to greatest:
[tex]6.25 < 6.4 < 6.45 < 6.5[/tex]
Thus,
[tex]\displaystyle\frac{50}{8} < 6\frac{2}{5} < 6.45 < \frac{26}{4}[/tex]
Option D is the correct option.
If chungs go kart can travel 48 miles on 1 gallon of gas,how far can his go kart travel with 1.15 gallons of gas?
What is the measure of an angle if the measure of its supplement is 39 degrees more than twice the measure of its complement?
Measure of angle is equals to 39degrees as per given conditions of supplement and complement angles.
What is angle?" Angle is defined as when two rays meet at one endpoint known as vertex."
According to the question,
'x' represents the measure of an angle
Measure of its supplement angle = 180 - x
Measure of its complement angle= 90 - x
As per given condition of angle we get,
[tex]180 - x = 2(90 - x) +39\\\\\implies 180-x= 180 -2x +39\\\\\implies 2x-x = 39\\\\\implies x=39degrees[/tex]
Hence, measure of angle is equals to 39degrees as per given conditions of supplement and complement angles.
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For a craft project, two equilateral triangles are taped together to create a quadrilateral
Ruchi measured the area of her kitchen as
Answer:
She is incorrect because 2.81 × 10^4 is around 30,000 so the units must be smaller than feet. She most likely measured in inches.
y + 3 = –y + 9 solve
Joey wants to buy a used car that costs $2500. He has already saved $1200 and makes $50 a week as a dog walker. Write and solve an equation to find the number of weeks, w, he must work until he has enough to purchase the car.
Joey must work 26 weeks until he has enough to purchase the car.
What is an Equation?An equation is a mathematical statement formed when two algebraic expressions are equated using an equal sign.
The equations are useful in determination of unknown parameters.
Joey wants to buy a used car,
The cost of the car is $2500.
The money he has saved is $1200
The money he makes by walking a dog is $50 per week.
Let w represent the number of weeks.
The equation for the condition can be written as:
The cost of the car is equated with the money he has and the money he earned in w weeks by dog walking.
2500 = 1200 + 50w
To determine the number of weeks he has to work to buy the car, the equation has to be solved for w,
50w = 2500 - 1200
50w = 1300
w = 1300 / 50
w = 26 weeks.
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Hot dogs cost $2.00 each, candy bars cost $1.00 each, and soft pretzels cost $2.50 each. How much would it cost to buy two hot dogs and one candy bar?
a. too much
b. too little
To calculate the total cost, multiply the price of each item by the number purchased then add those totals together. In this case, purchasing two hot dogs and one candy bar costs $5.00.
Explanation:To find the total cost of purchasing two hot dogs and one candy bar, you would simply multiply the cost of each item by the number of that item you are buying, and then add all these costs together. So, if a hot dog is $2.00 and you want to buy two, this costs $2.00 * 2 = $4.00. A candy bar is $1.00 each, and if you want to buy one, this costs $1.00 * 1 = $1.00. So, the total cost would be the cost of the hot dogs plus the cost of the candy bar, which is $4.00 + $1.00 = $5.00. Therefore, the total cost of two hot dogs and one candy bar is $5.00.
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6a - 10 = 3a + 17 please explain how you got your answer
Alice's backyard is a rectangular piece of property that is twice as long as it is wide. The total area of her yard is 500 m^(2). What is the approximate width of her backyard?
Terrance bought 3 markers. his sister bought 5 markers. terrance and his sister spent a total of $16 on the markers. what was the price of each marker?
what is the relationship between two lines that intersect to form angles?
Find two consecutive integers whose sum is 67.
Which of the following equations could be used to solve the problem?
2x = 67
2x + 1 = 67
2x + 2 = 67
x2 + 1= 67
Answer:
2x + 1 = 67
Let the smaller integer be x.
The next larger consecutive integer is 1 more than x, so it's x + 1.
x + x + 1 = 67
2x + 1 = 67
The length of a rectangle is 5 centimeters less than twice its width. The perimeter of the rectangle is 26 cm. What are the dimensions of the rectangle?
A. length = 7 cm; width = 6 cm
B. length = 4 cm; width = 9 cm
C. length = 6 cm; width = 7 cm
D. length = 5 cm; width = 5 cm
The correct option is [tex]\boxed{\text{\bf option C}}[/tex] i.e., the length is [tex]6\text{ cm}[/tex] and breadth is [tex]7\text{ cm}[/tex].
Further explanation:
The perimeter of arectangle is calculated as follows:
[tex]\boxed{\text{Perimeter}=2\cdot (l+b)}[/tex]
Here, [tex]l[/tex] is the length and [tex]b[/tex] is the breadth of the rectangle.
Given:
The length of the rectangle is [tex]5\text{ cm}[/tex] less than twice its breadth and the perimeter of the rectangle is [tex]26\text{ cm}[/tex].
Calculation:
Step 1:
First we write the dimensions in the form of variable [tex]x[/tex].
Consider [tex]x[/tex] as the breadth of the rectangle and [tex]y[/tex] as the length of the rectangle.
As per the question the length is [tex]5\text{ cm}[/tex] less than twice its breadth.
Therefore, the length can be expressed in the form of the equation as follows:
[tex]\boxed{y=2x-5}[/tex] …… (1)
Step 2:
Now, we have to calculate the dimensions of the rectangle.
So, substitute [tex]l=2x-5[/tex] and [tex]b=x[/tex] in the formula of the perimeter of the rectangle to obtain the value of [tex]x[/tex].
[tex]\begin{aligned}\text{Perimeter}&=2\cdot (l+b)\\26&=2\cdot (2x-5+x)\\26&=2\cdot (3x-5)\\26&=6x-10\\6x&=26+10\\6x&=36\\x&=6\end{aligned}[/tex]
Therefore, the breadth of the rectangle is [tex]6\text{ cm}[/tex].
Now, substitute [tex]x=5[/tex] in the equation (1) to obtain the value of the length.
[tex]\begin{aligned}l&=2x-5\\&=(2\cdot 6)-5\\&=12-5\\&=7\end{aligned}[/tex]
Therefore, the length of the rectangle is [tex]7\text{ cm}[/tex].
Thus, the correct option is [tex]\boxed{\text{\bf option C}}[/tex] i.e., the length is [tex]6\text{ cm}[/tex] and breadth is [tex]7\text{ cm}[/tex].
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Answer details:
Grade: Junior school
Subject: Mathematics
Topic: Area and Perimeter
Keywords: Length, breadth, perimeter, area, side, dimensions, rectangle, shapes, figure, triangle, square, equation, variable, constant, twice, area, mensuration.
HELP PLEASE ASAP!!!!!!!!!!!!!!!!!!!!