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3 years ago

Find the volume of the pyramid.

Mathematics

1 answer:

True [87]3 years ago

5 0

Answer:

The answer is 112 ft squared

Step-by-step explanation:

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The perimeter of the patio is 64 feet. The width of the patio is (x+2) feet and the length of the patio is (x+6) feet. What are

ValentinkaMS [17]

The formula for the perimeter is P = 2w + 2l, where w is the width and l is the length. It is given that the width = (x+2) and the length = (x+6). Therefore, we can make this equation:

P = 2w + 2l

64 = 2(x+2) + 2(x+6) ⇒ Distributive property

⇒ 64 = 2x + 4 + 2x + 12 ⇒ Combine like terms

⇒ 64 = 4x + 16 ⇒ Subtract 16 from both sides

⇒ 48 = 4x ⇒ Divide both sides by 4

⇒ x = 12

Then, we use x = 12 and substitute it in to find the length and width

Width = (x+2) = (12+2) = 14

Length = (x+6) = (12+6) = 18

The dimensions of the patio is 14 by 18

5 0

3 years ago

Components of a certain type are shipped to a supplier in batches of ten. Suppose that 50% of all such batches contain no defect

ad-work [718]

Answer:

a) P (0 defective component) = 0.5

P( 1 defective component ) = 0.35

P( 2 defective component ) = 0.15

b) P( 0 ) = 0

p ( 1 ) = 1

p ( 2 ) = 0.33

Step-by-step explanation:

p( no defective ) = 0.5

p( 1 is defective ) = 0.35

p( 2 is defective ) = 0.15

Given that 2 components are selected at random

a) Given that neither component is defective

Probability of 0 defective component = 0.5

P( 1 defective component ) = 0.35

P( 2 defective component ) = 0.15

b) Given that one of the two tested component is defective

P( 0 defective ) = 0

P( 1 defective ) = P ( $\frac{x=1}{x\geq 1}$ ) = p( x = 1 ) / 1 - P ( x = 0 )

= ( 0.5 )^1 ( 0.5 )^0 / 1 - ( 0.5)^0 (0.5)^1

= 0.5 * 1 / 1 - 0.5 = 0.5 / 0.5 = 1

p ( 2 defective ) = p( x = 3 ) / 1 - P ( x = 0 )

= ( 0.5 )^2 ( 0.5 )^0 / 1 - ( 0.5)^0 (0.5)^2

= 0.25 / 0.75 = 0.33

5 0

3 years ago

Help please i need answer ASAP

Juli2301 [7.4K]

If the result is reflected over x-axis and vertically stretched by a factor of 5, the result will be g(x) = -5(x - 1)²

<h3>Transformation of functions</h3>

Transformation is a way of changing the position of an object o the xy plane. Given the parent function expressed as

f(x) = x^2

If the function is shifted to the left by unit, then we will have h(x) = (x - 1)²

If the result is reflected over x-axis and vertically stretched by a factor of 5, the result will be g(x) = -5(x - 1)²

Learn more on translation here: brainly.com/question/12861087

#SPJ1

8 0

2 years ago

Solve for x. Show each step of the solution. 4.5(4 − x ) + 36 = 202 − 2.5(3x + 28)

Marrrta [24]

Answer:

sgsrgrsdg

Step-by-step explanation:

6 0

3 years ago

What are the zeros of the following quadratic equation: y = 6x2 - 17x - 3

Mama L [17]

Answer:

$\displaystyle x=-\frac{1}{6}, 3$

Step-by-step explanation:

Hi there!

$y = 6x^2 - 17x - 3$

Factor by grouping:

$y = 6x^2 - 18x+1x - 3\\y = 6x(x- 3)+1x - 3\\y = 6x(x- 3)+(x - 3)\\y = (6x+1)(x- 3)$

Let y=0. Apply the zero product property:

$0 = (6x+1)(x- 3)$

$6x+1=0\\6x=-1\\\\\displaystyle x=-\frac{1}{6}$

AND

$x-3=0\\x=3$

I hope this helps!

5 0

3 years ago