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3 years ago

Find the height of a square pyramid that has a volume of 75 cubic feet and a base length of 5 feet.

Mathematics

1 answer:

Rudiy273 years ago

3 0

Answer:

9 ft

Step-by-step explanation:

Let's begin with the formula for the volume of a square pyramid. If s is the base length, then the area of the base is s^2. The volume of the pyramid is then V = (1/3)(base area)(height). We know the volume and the base length (s), and want to find the height. Solving V = (1/3)(base area)(height)

for height, we get:

3V = (base area)(height), or

---------------- = height

base area

Substituting 75 ft^3 for V and (5 ft)^2 for base area, we get:

3(75 ft^3) 9 ft

height = ------------------ = ----------------- = 9 ft

25 ft^2 1

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Allometric relations often can be modeled by f(x)= x^b, where a and b are constants. One study showed that for a male fiddler

dolphi86 [110]

Answer:

a) $f(2)= 0.448 (2)^{1.21}= 1.036 grams$

b) $0.5 = 0.448 x^{1.21}$

Dividing both sides by 0.448 we got:

$\frac{0.5}{0.448} = x^{1.21}$

We can appy the exponent $\frac{1}{1.21}$ in both sides of the equation and we got:

$(\frac{0.5}{0.448})^{\frac{1}{1.21}} = x= 1.095grams$

Step-by-step explanation:

For this case we know the following function:

$f(x) = 0.448 x^{1.21}$

The notation is: x is the weight of the crab in grams, and the output f(x) is the weight of the claws in grams.

Part a

For this case we just need to replace x = 2 gram in the function and we got:

$f(2)= 0.448 (2)^{1.21}= 1.036 grams$

Part b

For this case we know tha value for $f(x) =0.5$ and we want to find the value of x who satisfy this condition:

$0.5 = 0.448 x^{1.21}$

Dividing both sides by 0.448 we got:

$\frac{0.5}{0.448} = x^{1.21}$

We can appy the exponent $\frac{1}{1.21}$ in both sides of the equation and we got:

$(\frac{0.5}{0.448})^{\frac{1}{1.21}} = x= 1.095grams$

8 0

3 years ago

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions

aliina [53]

Answer: B. H(t) = -6.9(t - 2.3)² + 112

<u>Step-by-step explanation:</u>

The vertex form of a quadratic equation is: y = a(x - h)² + k

where (h, k) is the vertex ⇒ k is the maximum height

the distance traveled is when y = 0 ⇒ $x=\sqrt{\dfrac{-k}{a}}+h$

Given: H(t) = -7.1(t - 2.3)² + 98

maximum height (k) = 98 feet

distance traveled (x) = $\sqrt{\dfrac{-98}{-7.1}}+2.3$ = 6.02 seconds

A) H(t) = -7.5(t - 2.2)² + 112

maximum height (k) = 112 feet

distance traveled (x) = $\sqrt{\dfrac{-112}{-7.5}}+2.2$ = 6.06 seconds

B) H(t) = -6.9(t - 2.3)² + 112

maximum height (k) = 112 feet

distance traveled (x) = $\sqrt{\dfrac{-112}{-6.9}}+2.3$ = 6.33 seconds

C) H(t) = -6.9(t - 2.4)² + 95

maximum height (k) = 95 feet

This has a lower height than the given equation.

D) H(t) = -7.5(t - 2.3)² + 95

maximum height (k) = 95 feet

This has a lower height than the given equation.

Both options A and B travel higher and stay in the air longer than last year's winner, however option B stays in the air longer than option A.

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3 years ago

HELP PLEASE 14 POINTS

hram777 [196]

Answer:

To my knowledge of congruency, I would say the answer is A,

Step-by-step explanation:

Hope this helped!!!

8 0

2 years ago

Which of the following is a true polynomial identity

zhuklara [117]

Answer:

It's a.

Step-by-step explanation:

(a - 2b)^2 + 8ab

= a^2 - 4ab + 4b^2 + 8ab

= a^2 + 4ab + 4b^2.

((a + 2b)^2 = a^2 + 4ab + 4b^2.

6 0

3 years ago

Read 2 more answers

you have a large tank filled with 175 gallons of water the tank springs a leak and water is pouring out at a rate of 5 gallons p

Len [333]

175/5= 35

The answer is 35 minutes.

Hope this helps!

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3 years ago