Show your work with x box method

A stainless steel patio heater is a square pyramid. The length of one side of the base is 89.6 The slant height of the pyramid i

Temka [501]

Answer:

9.48

Step-by-step explanation:

Complete question

A stainless steel patio heater is a square pyramid. The length of one side of the base is 89.6 The slant height of the pyramid 90.1. What is the height of the pyramid?

To get the height of the pyramid, we will use pythagoras theorem.

slant height l is the hypotenuse

length of the base is the adjacent

height of the pyramid is the opposite

According to the theorem;

l² = h² + b²

90.1² = h² + 89.6²

8,118.01 = h²+8,028.16

h²= 8,118.01 - 8,028.16

h² = 89.85

h =√89.85

h = 9.48

Hence the height of the pyramid will be 9.48

Note that the value of the slant height was assumed to solve the problem.

3 0

3 years ago

Corbin is selling cheese at the farmers’ market. One wheel of cheese has a diameter of 11 inches.

sveticcg [70]

Answer:

I. 94.99 in²

II. $0.23

Step-by-step explanation:

Given the following data;

Diameter of wheel = 11 inches

$\pi = 3.14$

Cost of wheel = $21.35

$Radius, r = \frac {diameter}{2}$

$Radius, r = \frac {11}{2} = 5.5 \; inches$

Part A

To find the area;

We know that a wheel is circular in nature. Thus, the area of a circle is given by the formula;

$Area, A = \pi r^{2}$

Substituting into the equation, we have;

$Area, A = 3.14 * 5.5^{2}$

$Area, A = 3.14*30.25$

Area, A = 94.99 in²

Part B

To find cost per square inch;

$Cost \; per \; square \; inch = \frac {Cost \; per \; wheel}{Area \; of \; wheel}$

$Cost \; per \; square \; inch = \frac {21.35}{94.99}$

Cost per square inch = $0.23

6 0

2 years ago

Simplify the following expression (x+y)²

MrMuchimi

Answer:

${x}^{2} + 2xy + {y}^{2}$

Step-by-step explanation:

1) Use square sum: (a + b)² = a² + 2ab + b².

${x}^{2} + 2xy + y^{2}$

Therefor, the answer is x² + 2xy + y².

8 0

2 years ago

Find the perimeter of the figure below. A) 42.1 B) 74.0 C) 84.2 D) 94.4

Andru [333]

The answer is C 84.2

6 0

3 years ago

Read 2 more answers

Question 2 Multiple Choice Worth 1 points)

Sati [7]

Comparing g(x) with f(x), you can see that the function f(x) is translated to the right by 6 units to produce g(x) which is equivalent to (x-6)²

<h3>Transformation of function</h3>

Transformation is a techniques use to change the position of an object on an xy-plane.

Given the parent function f(x) = x² and the function g(x) = x²-12x +36

Factorize g(x);

g(x) = x²-6x-6x+36

g(x)=x(x-6)-6(x-6)

Group the terms to have;

g(x) = (x-6)²

Comparing g(x) with f(x), you can see that the function f(x) is translated to the right by 6 units to produce g(x) which is equivalent to (x-6)²

Learn more on transformation here: brainly.com/question/4289712
#SPJ1

4 0

2 years ago