Answer:
A.) 0.9cm, 1.2cm, 1.5cm
Step-by-step explanation:
The side ratios of the offered answers are ...
A — 3:4:5 . . . . . . obviously a right triangle
B — 3:5:5 . . . . . . isosceles, but not a right triangle
C — 3:4:6 . . . . . . an obtuse triangle
D — 3:2:5 . . . . . . not even a triangle (just a line segment)
_____
Comment on 3:4:5
This set of small integers appears often in problems involving right triangles. It is the smallest "Pythagorean triple" — a set of integers that satisfies the relationship of the Pythagorean theorem — and it is the only Pythagorean triple that is an arithmetic sequence (differences between the numbers are the same).
When you see a triangle with sides in these ratios, you know it is a right triangle. When you see a right triangle with two of the sides having a ratio of 3:4, 3:5, or 4:5 (where "5" is the hypotenuse), then you know the length of the remaining side.
Use the x-intercept method to find all real solutions of the equation x^3-6x^2+3x+10=0
Answer:
x ∈ {-1, 2, 5}
Step-by-step explanation:
The x-intercepts of the graph of the cubic are -1, 2, and 5. These are the values of x that are solutions to the equation.
Answer:
answer is D. -1, 2 , 5
Step-by-step explanation:
The slope of a roof is called the pitch and is defined as follows:
pitch = rise of roof
½ span of roof
Find the pitch of a roof if the rise is 12 feet and the span is 30 feet.
Find the pitch of a roof if the rise is 4 feet and the span is 24 feet.
Answer:
a) 4/5
b) 1/3
Step-by-step explanation:
Put the numbers in the formula and evaluate.
a) pitch = (rise)/(1/2·span)
= (12 ft)/(1/2·30 ft) = 12/15 = 4/5
___
b) pitch = (4 ft)/(1/2·24 ft) = 4/12 = 1/3
The pitch of a roof is calculated by dividing the rise of the roof by half the span of the roof. The pitch of a roof with a 12 feet rise and 30 feet span is 0.8. The pitch of a roof with a 4 feet rise and 24 feet span is 0.333.
Explanation:The pitch of a roof can be calculated using the equation: pitch = rise of roof / (½ span of roof).
For the first part of your question, where the rise is 12 feet and the span is 30 feet, you substitute these values into the above equation: pitch = 12 / (½ * 30) = 0.8
For the second part, where the rise is 4 feet and the span is 24 feet, when these values substituted into the equation you get: pitch = 4 / (½ * 24) = 0.333
So, the pitch of the first roof is 0.8 and the pitch of the second roof is 0.333
Learn more about Pitch of a Roof here:https://brainly.com/question/34259781
#SPJ3
identify whether each equation has no solution, one solution, or infinitely many solutions.
1. 4x−x=2x+x
2. 2x+1=5
3. 4x+2=5x−x+4
4. 2(x+4)=4(x+2)
Answer:
infinitely manyone solutionno solutionone solutionStep-by-step explanation:
1. 4x−x=2x+x
Simplifies to 3x = 3x, which is true for all values of x. Hence there are infinitely many solutions.
___
2. 2x+1=5
True only for x=2; one solution.
___
3. 4x+2=5x−x+4
Simplifies to ...
4x +2 = 4x +4
2 = 4 . . . . . . . not true for any value of x; no solution.
___
4. 2(x+4)=4(x+2)
Simplifies to ...
2x +8 = 4x +8
0= 2x . . . . . . . . . subtract 2x+8
True only for x=0; one solution.
What is the radius of a circle whose equation is x2 + y2 + 8x – 6y + 21 = 0? units
Answer:
2
Step-by-step explanation:
x²+8x+y²-6y= -21;
(x+4)²+(y-3)²-25= -21;
(x+4)²+(y-3)²=2²;
it means r²=2²; ⇒ r=2.
Help me please! I need to fix this answer but dont know how to!! If you can help it would be greatly appreciated, just please remember to show your work. Btw ignore my attempt at the answer its obviously not correct.
Answer:
45.55 m
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that the relationship between adjacent and opposite sides of an angle is ...
Tan = Opposite/Adjacent
Then the side opposite the angle of elevation will have length ...
tan(26°) = Opposite/(90 m)
Opposite = (90 m)·tan(26°) ≈ 43.90 m
This is the height of the top of the dam above Scarlett's height, so the total height to the top of the dam is ...
43.90 m + 1.65 m = 45.55 m
in science class, Priscilla heats water and measures the temperature of the water every 2 minutes\or data are shown in the table.
Time in mutes 0 2 4 6 8 10
Tempt in C 25 30 35 40 45 50
What was the temperature of the water at 5 minutes?
Explain
Answer:
37.5 °C
Step-by-step explanation:
The temperature appears to be increasing linearly at the rate of 5 °C in 2 minutes, or 2.5 °C per minute.
1 minute after 4 minutes, when the temperature is 35 °C, we expect it to be 2.5 °C higher, or 37.5 °C.
(f/h)(2)
f(x)=3x-4
h(x)=8-3x
Answer:
1
Step-by-step explanation:
find f(2)
f(2) = 3(2) - 4 = 6 - 4 = 2
Now find h(2)
h(2) = 8 - 3(2) = 8 - 6 = 2
Now find f(2)/h(2)
2/2 = 1
I need help!!! Please explain how to do the question!
Answer:
Step-by-step explanation:
You do x+75=250 using the information given
Answer:
the answer is 175
Step-by-step explanation:
$250
-
$75
-------------
$175
Which of the following describes the given graph of the function over the interval [2, 6]? A. increasing B. constant C. decreasing D. decreasing to increasing
Final answer:
To determine the function's behavior over an interval, compare the y-values as the x-values increase. It could be increasing, decreasing, constant, or changing direction. Choose the description that matches the graph's movement over the given interval.
Explanation:
To determine how the function behaves over the interval [2, 6], we must look at the description of the graph presented. If during the interval the function is always moving upwards as the x-values increase, then it is increasing. If it moves downwards, it is decreasing. If the graph stays at the same level without moving up or down, then it would be constant. If the graph changes its direction, from either increasing to decreasing or vice versa, then it would be described as decreasing to increasing or increasing to decreasing, accordingly. Given these possibilities, the student should match the behavior of the graph with one of these descriptions.
What is another way to write the calculation add 9 and 4, and then multiply by 3? A) (3)(9)+4 B) 3(9+4) C) 3x4+9 D) 3x9+4
Answer: B) 3(9+4)
Step-by-step explanation:
B is the correct answer because of the PEMDAS rule telling in what order to solve an expression with more than one operation. (parenthesis, exponents, multiplication, division, addition, subtraction). Therefore, with parentheses coming before multiplication in the PEMDAS rule it would be adding 9+4 and then mulriplying it by three.
Explain why a rotation of 270∘ clockwise will result in the same transformation as a rotation of 90∘ counterclockwise
Because there is a maximum rotation of 360°, so if you rotate x° clockwise it's the same as if you rotate (360-x)° counterclockwise.
Can you just help me with 1 of the figures in my math problem and explain how you got it please!!
Part 1: Polygons and circles
a. Help Dakota with her homework. Use diagrams of inscribed polygons to approximate the area of each circle. Assume that all of the circles have a radius of 1.
The attachment isn't working so I to try to describe it as best as I can:
The inscribed Polygon is a triangular shape B=1.73 and H= 0.5
Answer:
area of triangle: 1.2975
area of circle: π ≈ 3.1416
Step-by-step explanation:
The side length (B) is used to compute the perimeter of the triangle. For the 3-sided triangle, the perimeter is ...
P = 3B = 3·1.73 = 5.19
The "height" (H) measured from the center of the circle to the middle of one side is called the "apothem" (a). The area of the triangle (A) is the product of half that and the perimeter:
A = (1/2)aP = (1/2)·0.5·5.19 = 1.2975 . . . . . . square units
Solve for x please I need help ASAP
Answer:
x > 2
Step-by-step explanation:
The inequality has constants and variables on both sides. It is convenient to find the variable term with the smallest (most negative) coefficient. Add the opposite of that term to both sides of the inequality.
2x -3 +5x > 11 -5x +5x . . . . added 5x
7x -3 > 11 . . . . . . . . . . . . . . . simplify
Now, find the constant on the side of the inequality that has the variable term. Add the opposite of that constant to both sides.
7x -3 +3 > 11 +3 . . . . . added 3
7x > 14 . . . . . . . . . . . . simplify
Finally, divide by the coefficient of x. It is positive, so we do not need to do anything to the relation symbol.
x > 14/7 . . . . . . . . . . divided by 7
x > 2 . . . . . . . . . . . . simplify . . . . This is your solution.
Express 8.218.218, point, 21 as a mixed number.
Answer:
8 21/100
Step-by-step explanation:
8.21 is read "eight and twenty-one hundredths". The mixed number "eight and twenty-one hundredths" is written ...
8 21/100
At least how many times must you flip a fair coin before there is at least a 50% probability that you will get at least three heads?
To get at least a 50% probability of getting at least three heads, you must flip a fair coin at least four times.
Explanation:To calculate the minimum number of times a fair coin must be flipped before there is at least a 50% probability of getting at least three heads, we can use the concept of probability. Let's assume that flipping a coin is a binary event with two possible outcomes: heads (H) or tails (T).
The probability of getting three or more heads in one flip is zero, since we can only get a maximum of two heads in one flip. However, we can calculate the probability of getting three or more heads in a series of flips.
The probability of getting at least three heads in one flip is zero, but we can calculate the probability of getting at least three heads in two flips, three flips, four flips, and so on. We continue calculating the probability until we find the number of flips that gives us a probability of at least 50%.
Using this method, we find that we need to flip the coin at least 4 times to have a probability of at least 50% of getting at least three heads. This means that after flipping the coin four times (or more), there is a better than 50% chance of getting at least three heads.
Learn more about Probability here:https://brainly.com/question/32117953
#SPJ3
Which function has an inverse that is not a function?
f(x) = x^2
f(x) = 2x
f(x) = x + 2
f(x) = √x
Answer:
your choice is correct
Step-by-step explanation:
f(x) = x^2 does not pass the horizontal line test (a horizontal line intersects its graph in two places), so its inverse does not pass the vertical line test. The inverse is not a function.
_____
Comment on the graph
The original function f(x)=x^2 is shown by the red curve. Its reflection across the orange dashed line y=x gives the inverse relation, in blue. The black horizontal and vertical lines show the multiple points of intersection with the curves, indicating the inverse relation is not a function.
Answer:
A) f(x)=x^2
Step-by-step explanation:
did it on i-ready
find the value of the greater root of x^2-6x+5=0
Answer:
5
Step-by-step explanation:
the roots are:
[tex]\left \{ {{x_1+x_2=6} \atop {x_1*x_2=5}} \right. \ => \ \left \{ {{x_1=1} \atop {x_2=5}} \right.[/tex]
What is 27 3 over 8 minus
16 3 over 4
-6.625 or -6.63 rounded up
Which Contacts section results from the intersection of the plane and the double nap cone shown in the figure
Answer:
your choice is correct: hyperbola
Step-by-step explanation:
When the plane intersects both naps of the cone, the result is a hyperbola. When only a single nap is intersected (and the plane is parallel to the edge of the cone), the curve is a parabola. An ellipse or circle results when the plane crosses both edges of the cone on the same nap.
Answer:
ellipse
Step-by-step explanation:
Which of the following situations involve a permutation?
Select ALL the correct answers.
A) Determining how many different ways 7 runners can be assigned lanes on a track for a race
B) Determining how many 5-letter passwords can be made using the word "graph."
C) Determining how many different groups of 10 students can be chosen to go on a field trip from a group of 25 students
D) Determining how many different ways to choose 3 employees from a group of 9 employees.
E) Determining how many different seating charts can be made placing 6 people around a table
F) Determining how many different ways 4 cashiers can be chosen to work from a group of 6 cashiers.
Answer:
A, B, E
Step-by-step explanation:
Permutations are involved when order matters, as in lane assignment, passwords, and seating charts.
When the end result is a "group of 10 students", "3 employees", or "4 cashiers", clearly order does not matter. One student, employee, or cashier is as good as another in these cases.
Using it's definition, it is found that these following situations involve permutations:
A) Determining how many different ways 7 runners can be assigned lanes on a track for a race.
B) Determining how many 5-letter passwords can be made using the word "graph."
E) Determining how many different seating charts can be made placing 6 people around a table.
When are permutations used?Permutations are used when the order of the elements is important.The number of possible permutations of x elements from a set of n elements is given by:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this problem:
In items A, B and E, the order is important, for example, "rgaph" is a different word than "graph", hence they are permutations.In items C, D and F, the order is not important, hence they are not permutations, they are combinations.You can learn more about permutations at brainly.com/question/25247153
A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 75 pounds. The truck is transporting 70
large boxes and 65 small boxes. If the truck is carrying a total of 5075
pounds in boxes, how much does each type of box weigh?
Answer:
large box weights 40 pounds & small box weights 35 pounds
Step-by-step explanation:
We can write 2 equations and solve simultaneous.
Let x be weight of large box and y be weight of small box
"The combined weight of a large box and a small box is 75 pounds.":
[tex]x+y=75[/tex]
"The truck is transporting 70 large boxes and 65 small boxes. If the truck is carrying a total of 5075 pounds":
[tex]70x+65y=5075[/tex]
Now we can solve for x in the first equation, which is x = 75 -y
We now substitute this into the 2nd equation and solve for y:
[tex]70x+65y=5075\\70(75-y)+65y=5075\\5250-70y+65y=5075\\-5y=5075-5250\\-5y=-175\\y=35[/tex]
Using y = 35 and plugging that into the 1st equation, we can solve for x:
[tex]x+y=75\\x+35= 75\\x= 75 - 35\\x=40[/tex]
Hence, large box weights 40 pounds & small box weights 35 pounds
Which choice correctly compares the two numbers?
A) 20.82 > 20.55
B) 21.02 < 20.55
C) 21.05 < 20.30
D) 21.22 > 21.30
Answer:
A) 20.82 > 20.55
Step-by-step explanation:
Hopefully, your issue is with the symbols (< vs >) rather than actually determining which number is larger or smaller.
The wide-open end of the symbol (the left side, in the case of >) indicates the larger (more positive) number.
So, the meanings of the symbols are ...
> — "is greater than"
< — "is less than"
The only true statement of those listed is ...
20.82 is greater than 20.55, or 20.82 > 20.55 . . . . selection A
_____
When writing number comparisons, I like to use the < symbol, because it puts the numbers in number-line order. That is, the smaller (or more negative) number is on the left, just as it is on a number line.
You trade the places of the numbers when changing the symbol. For example, answer choice A could be rewritten as ...
20.55 < 20.82
You know that 20.55 is to the left of 20.82 on the number line, so you know this statement is true.
Help! Please!
Let x=a+bi and y=c+di
2x+3y
Answer:65
Step-by-step explanation:
What is 1/2x=18
can you please show steps. Thank you
Answer:
x = 36
Step-by-step explanation:
Multiply both sides of the equation by the inverse of the coefficient of x.
(2/1)·(1/2)x = (2/1)·18 . . . . . . . coefficient of x is 1/2, so we multiply by 2/1
x = 36
_____
This "multiplicative inverse" is also called the reciprocal. It has the property that when multiplied by the coefficient of x, the result is 1, the multiplicative identity element. So, your equation becomes ...
1·x = 36
The property of the multiplicative identity element is that anything multiplied by it is that thing. So, 1x = x, and your equation becomes
x = 36
This is the solution you're looking for.
The answer is 36 !!!!!
Given four functions, which one will have the smallest y-intercept?
f(x)
g(x)
h(x)
j(x)
Answer:
g(x)
Step-by-step explanation:
y-intercept is the y cutting point, at x = 0.
1. f(x)
This will be an exponential function that starts from 6 and moves upward exponentially. So y-intercept is 6.
2. g(x)
We can see that at x = 0, the value of the function is 2, so that is the y cutting point. So y-intercept is 2.
3. h(x)
We can clearly see from the graph that the y-cutting point is at 4. So y-intercept is 4.
4. j(x)
We can plug in x = 0 into the equation to find y intercept.
[tex]j(x)=10(2)^x\\=10(2)^0\\=10(1)\\=10[/tex]
So y - intercept is 10.
Smallest y-intercept is that of g(x).
Which of the following systems is equivalent to the given system?
2/3 x - y = 2 x + 1/2y = -3
a) 2x - 3y = 6 and 2x + y = 6
b)6x - 3y = 6 and 2x + y = 10
c) 2x - 3y = 6 and 2x + y = -6
Answer:
The correct answer is c.
Step-by-step explanation:
This is because it is the first equation being multiplied by 3 and the second being multiplied by 2.
None of the other examples are multiples of the originals.
What is the value of 2g(-1)?
f(x) = 4x + 10; g(x) = 2x - 5
2g(-1) =
Answer:
-14
Step-by-step explanation:
Put -1 where x is in the definition of g(x) and do the arithmetic.
2g(-1) = 2(2·(-1) -5) = 2(-2-5) = 2(-7) = -14
Write an area word problem so that the solution is 36 square units
Answer:
Find the area of a cardboard box with a length of 9 inches and a width of 4 inches.
Step-by-step explanation:
9 in × 4 in = 36 in²
Which of the following expressions are equivalent to 4 + (14 - 2)
*First to answer gets the brainiest answer.
*Answer Fast Please!!!
14-2=12 +4= 16 is the answer to your question
Answer:
Step-by-step explanation:
there you go
determine the down payment for this vehicle: $23, 400.00 sports car at 18% down
Answer:
$4212
Step-by-step explanation:
18% of $23,400 is ...
18/100 · $23,400 = $4212
Answer:
4212
Step-by-step explanation:
23400 * 0.18