A pyramid has a height of 5 in. and a surface area of 90 in2. Find the surface area of a similar pyramid with a height of 10 in. Round to the nearest tenth, if necessary. a. 360 in2b. 180 in2 c. 22.5 in2 d. 3.6 in2

Answers

Answer 1
Answer: 5/90=10/x→5x=900→x=900/5 , therefore SA = 180 in^2 for a height of 10. So, the correct answer for this proportion task is definitely the second option from the list represented above. b. 180 in2. I am pretty sure it will help you. Regards!

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In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 2π/3 radians. What is the length of the arc?

Answers

Answer:

Hence, the arc length is 2π feet or 6.28 feet.

Step-by-step explanation:

In a circle with a radius of 3 ft, an arc is intercepted by a central angle of 2π/3 radians.

If the central angle is measured in degrees than the arc length is given by:

arc length=(θ\360°)×2πr.

and if central angle is measured in radians than the arc length is given by:

arc length=θr. ( where r is the radius of the circle)

where θ is the central angle.

Hence, here we have:

r= 3 ft.

and θ=2π/3.

Hence the arc length is given by:

Arc length=(2π/3)×3=2π  feet.

Hence, the arc length is 2π feet or 2×3.14=6.28 feet.

Answer:

2 π

explanation:

I took the quiz

Make a the subject of a^2+b^2=c^2

Answers

Answer:

a = √(c² - b²)

General Formulas and Concepts:

Pre-Algebra

  • Equality Properties

Step-by-step explanation:

Step 1: Define

a² + b² = c²

Step 2: Rearrange

  1. Subtract b² on both sides:                    a² = c² - b²
  2. Square root both sides:                        a = √(c² - b²)

And we have our final answer!

The vertices of parallelogram ABCD are A(2,1),B(3,4),C(5,3), and D(4,0). ABCD is reflected over the x-axis to create parallelogram QRST. What are the coordinates of QRST?A
Q(−2,1),R(−3,4),S(−5,3),T(−4,0)

B
Q(−2,−1),R(−3,−4),S(−5,−3),T(−4,0)

C
Q(1,2),R(4,3),S(3,5),T(0,4)

D
Q(2,−1),R(3,−4),S(5,−3),T(4,0)

Answers

Answer:

The correct answer is:

D)   Q(2,1)  R(3,-4) S(5,-3) T(4,0)

Step-by-step explanation:

When you reflect over the x-axis the vertices of the parallelogram, the y -coordinates is multiplying by -1.

Then the new coordinates of the parallelogram are:

Q(2,-1)  R(3,-4) S(5,-3) T(-4,0)

What is the y-intercept of y=5(6.8)^x
A. 5
B. 6.8
C. 1
D. x

Answers

Answer: A. 5

Step-by-step explanation:

The given exponential equation:

y=5(6.8)^x

To calculate the y intercept , we need to substitute x =0 , the given equation, we get

y=5(6.8)^0\n\n\Rightarrow\ y=5(1)......................\text{Since}\ a^0=1\n\n\Rightarrow y=5

Hence, the y intercept of the given exponential equation = 5.

Hello,

answer A

5*6.8^0=5*1=5


What is the slope for the function y=2x^2+2 at the point x= 3?

Answers

1) We have to calculate the first derivative:
y=2x²+2
y´=4x

2) the slope at the point x=3; will be f´(3);
f´(3)=4(3)=12

answer: the slope will be 12.

Final answer:

The slope of the function y = 2x^2 + 2 at the point x = 3 is 12.

Explanation:

The slope of a function can be determined using the derivative of the function. In this case, the function is y = 2x^2 + 2. Taking the derivative of this function gives us dy/dx = 4x. To find the slope at x = 3, we substitute x = 3 into the derivative: dy/dx = 4(3) = 12.

Learn more about slope of a function here:

brainly.com/question/22943466

#SPJ1

Serena makes $9 per hour cutting lawns. Each day, she earns about $15 in tips. If Serena made no less than $110 on Monday, which inequality represents h, the number of hours she worked on Monday?15h+9<110

15h+9>110

9h+15<110

9h+15>110

Answers

Let h = number of hours she worked on Monday
Given that she makes $9 per hour, it is 9 x h or 9h.
If her tips is a fixed 
$15 amount, then we simply add 15.
9h + 15
This expression above is the amount she made last Monday.
Since she made no less than 
$110, meaning she made more than $110 last monday.
The final inequality is: 9h + 15 > 110.

Answer:

Let h = number of hours she worked on Monday

Given that she makes $9 per hour, it is 9 x h or 9h.

If her tips is a fixed $15 amount, then we simply add 15.

9h + 15

This expression above is the amount she made last Monday.

Since she made no less than $110, meaning she made more than $110 last monday.

The final inequality is: 9h + 15 > 110.

Step-by-step explanation: