(sin30°+cos30°)-(sin60°cos60°) find the value

Select the correct answer. A new building in the shape of a square pyramid is to be constructed. The slant height will be five t

marysya [2.9K]

From the information given about the square pyramid, the maximum base length of the building is 67.42 cm.

<h3>How do you determine the maximum side length?</h3>

We are given the following details are:

Base = b

Slant height (l) = 5b

The lateral surface area is calculated using:

L = 2bl

So, we have:

L = 2 * b * 5b

Evaluate the product

L = 10b²

The total surface area is calculated using:

T = L + b²

So, we have:

T = 10b² + b²

Evaluate the sum

T = 11b²

Recall that the maximum surface area is 50,000 square feet

So, we have:

11b² = 50000

Divide both sides by 11

b² = 50000/11

Taking the square root of both sides, we have

b = 67.42

Hence, the maximum base length of the building is 67.42 cm

Learn more about square pyramids at:

brainly.com/question/12146629

#SPJ1

8 0

1 year ago

5x + 3 < -7 <br> you have to show work

OLEGan [10]

Answer:

gev5y

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

The lines p and q intersect at point O. What is the value of x? Enter your answer in the box. x = Lines p and q intersect at poi

Angelina_Jolie [31]

Answer:

x = 16

Step-by-step explanation

Find the diagram attached. You can see from the diagram that both angles are vertically opposite angles and vertically opposite angles are equal.

Hence 2x+13 = 3x-3

Collect like terms

2x-3x = -3-13

-x = -16

Multiply both sides by -1

-1(-x) = -1(-16)

x = 16

Hence the value of x is 16

6 0

2 years ago

Read 2 more answers

which of the functions have a range of real numbers greater than or equal to 1 or less than or equal to-1

lilavasa [31]

The question is incomplete. Here is the complete question:

Which of the functions have a range of all real numbers greater than or equal to 1 or less than or equal to -1? check all that apply.

A. $y=\sec x$

B. $y= \tan x$

C. $y= \cot x$

D. $y= \csc x$

Answer:

A. $y=\sec x$

D. $y=\csc x$

Step-by-step explanation:

Given:

The range is greater than or equal to 1 or less than or equal to -1.

The given choices are:

Choice A: $y=\sec x$

We know that, the $\sec x=\frac{1}{\cos x}$

The range of $\cos x$ is from -1 to 1 given as [-1, 1]. So,

$|\cos x|\leq 1\\\textrm{Taking reciprocal, the inequality sign changes}\\\frac{1}{|\cos x|}\geq 1\\|\sec x|\geq 1$

Therefore, on removing the absolute sign, we rewrite the secant function as:

$\sec x\leq -1\ or\ \sec x\geq 1\\$

Therefore, the range of $y=\sec x$ is all real numbers greater than or equal to 1 or less than or equal to-1.

Choice B: $y= \tan x$

We know that, the range of tangent function is all real numbers. So, choice B is incorrect.

Choice C: $y= \cot x$

We know that, the range of cotangent function is all real numbers. So, choice C is incorrect.

Choice D: $y=\csc x$

We know that, the $\csc x=\frac{1}{\sin x}$

The range of $\sin x$ is from -1 to 1 given as [-1, 1]. So,

$|\sin x|\leq 1\\\textrm{Taking reciprocal, the inequality sign changes}\\\frac{1}{|\sin x|}\geq 1\\|\csc x|\geq 1$

Therefore, on removing the absolute sign, we rewrite the cosecant function as:

$\csc x\leq -1\ or\ \csc x\geq 1\\$

Therefore, the range of $y=\csc x$ is all real numbers greater than or equal to 1 or less than or equal to-1.

6 0

3 years ago

Use the Pythagorean Theorem to determine if a

MakcuM [25]

Answer:

how can it be triangle with 0ft length

6 0

2 years ago

(sin30°+cos30°)-(sin60°cos60°) find the value​

(sin30°+cos30°)-(sin60°cos60°) find the value