(NOO BOTS) The height of the square pyramid is 5 inches.<br> What is the volume?

Two right triangles, ABD and ACD, were created from ABC by

Ainat [17]

Answer:

Since their corresponding angles are congruent and the corresponding sides are in proportion

Step-by-step explanation:

For ABD,

Sin (B) = (AD ÷ AB) =1

∴ AD = AB

and if AD = AB

⇒ AD = AC (since AD 1 CB).

From triangle ACD,

Sin(C) = (AD ÷ AC)

Since AD = AC , Hence Sin (B) = Sin (C) = 1

Also From definition of similar triangles ABD and ACD are Similar (i.e their corresponding angles are congruent and the corresponding sides are in proportion)

7 0

4 years ago

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What is the product of 2x -5 and 3x^2 + 5x - 7? Write your answer in standard form. A. Show your work. B. Is the product of 2x -

VikaD [51]

Answer:

A)What is the product of 2x -5 and 3x^2 + 5x - 7? Write your answer in standard form.

6x³ - 5x² - 39x + 35 = 0

B. Is the product of 2x -5 and 3x^2 + 5x -7 equal to the product of 5x - 2 and 3x^2 + 5x - 7?

No it is not.

Step-by-step explanation:

A)What is the product of 2x -5 and 3x^2 + 5x - 7? Write your answer in standard form.

(2x - 5) (3x² + 5x - 7)

= 2x(3x² + 5x - 7) -5(3x² + 5x - 7)

= 6x³ + 10x² - 14x -15x² - 25x +35

Collecting like terms

= 6x³ +10x² - 15x² - 14x - 25x +35

= 6x³ - 5x² - 39x + 35

In standard form

6x³ - 5x² - 39x + 35 = 0

B. Is the product of 2x -5 and 3x^2 + 5x -7 equal to the product of 5x - 2 and 3x^2 + 5x - 7?

First we find the product of

5x - 2 and 3x² + 5x - 7?

(5x - 2) (3x² + 5x - 7)

5x(3x² + 5x - 7) -2(3x² + 5x - 7)

15x³ + 25x² - 35x - 6x² -10x + 14

Collect like terms

15x³+ 25x² - 6x² -35x - 10x + 14

15x³ + 19x² - 45x + 14 = 0

Hence, the product of 5x - 2 and 3x^2 + 5x - 7

= 15x³ + 19x² - 45x + 14 = 0

The product of 2x -5 and 3x^2 + 5x -7 = 6x³ - 5x² - 39x + 35 = 0

Comparing both products, we can see that

The product of 2x -5 and 3x^2 + 5x -7 ≠ the product of 5x - 2 and 3x^2 + 5x - 7

6 0

3 years ago

How far was Zane from the edge of the volcano when he started climbing?

julia-pushkina [17]

Answer:

Hope this helps

accoding to the web "He started out 25 meters below the edge of the volcano. It takes him 6.25 seconds to reach the edge."

7 0

3 years ago

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Please help me in number 20 please I need it ASAP

Ad libitum [116K]

Answer:

$r=\sqrt{\frac{A}{\pi}}$

Step-by-step explanation:

Given:

The area 'A' of a circle with radius equal to 'r' is given as:

$A=\pi r^2$

In order to rewrite the given formula in terms of radius 'r', we need to isolate 'r'.

Dividing both sides by π, we get:

$\frac{A}{\pi}=\frac{\pi r^2}{\pi}$

As $\frac{\pi}{\pi}=1$ , the above equation becomes:

$r^2=\frac{A}{\pi}$

Taking square root both the sides, we get:

$\sqrt{r^2}=\sqrt{\frac{A}{\pi}}\\r=\sqrt{\frac{A}{\pi}}$

We neglect the negative result while taking square root as the radius can't be a negative number.

Thus, the formula for radius 'r' in terms of area 'A' is given as:

$r=\sqrt{\frac{A}{\pi}}$

6 0

3 years ago

Math question down below

frutty [35]

For the first drain the equation you need would be: 2n = 108

for drain B your equation would be: 5n = 108

these are your equations because a number times the amount of water the drain drains per minute will equal 108

to solve use inverse operations and divide 108 by the amount of water the drain drains in one minutes

Drain A- 108/2 = 54
it takes 54 minutes for drain a to empty a pool with 108 gallons of water

Drain B- 108/5 = 21.6
it takes 21.6 minutes for drain b to empty a pool with 108 gallons of water in it<span />

5 0

3 years ago

(NOO BOTS) The height of the square pyramid is 5 inches. What is the volume?