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USPshnik [31]
3 years ago
9

Find the volume of a pyramid with a square base, where the perimeter of the base is 7.4 ft and the height of the pyramid is 8.1

ft. Round your answer to the nearest tenth of a cubic foot.
Mathematics
1 answer:
Hoochie [10]3 years ago
6 0

9514 1404 393

Answer:

  9.2 ft³

Step-by-step explanation:

The side length of the square base is 1/4 of the perimeter, so is ...

  s = P/4 = (7.4 ft)/4 = 1.85 ft

The area of the base is the square of this, or ...

  A = s² = (1.85 ft)² = 3.4225 ft²

The volume of the pyramid is given by ...

  V = 1/3Bh = (1/3)(3.4225 ft²)(8.1 ft) = 9.24075 ft²

The volume of the pyramid is about 9.2 cubic feet.

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The function​ s(t) represents the position of an object at time t moving along a line. Suppose s(2)=150 and s(5)=237. Find the a
trapecia [35]

Answer:

29 is answer.

Step-by-step explanation:

Given that the function​ s(t) represents the position of an object at time t moving along a line. Suppose s(2)=150 and s(5)=237.

To find average velocity of the object over the interval of time [1,3]

We know that derivative of s is velocity and antiderivative of velocity is position vector .

Since moving along a line equation of s is

use two point formula

\frac{s-150}{237-150} =\frac{t-2}{5-2} \\s=29t-58+150\\s=29t+92 gives the position at time t.

Average velocity in interval (1,3)

=\frac{1}{3-1} (s(3)-s(1))\\=\frac{1}{2} [87+58-29-58]\\=29

5 0
3 years ago
CAN SOMEONE HELP ME WITH THIS QUESTION?????????????
Angelina_Jolie [31]

Answer:

IM DOING ALGEBRA TOOO I HATE IT I believe that the first answe is function 4

7 0
3 years ago
Read 2 more answers
BRAINLIEST ASAP! PLEASE HELP ME :)
Novay_Z [31]

It is EXACTLY equal to 13, whereas the second equation equals \displaystyle csc^2θ.

I am joyous to assist you anytime.

8 0
3 years ago
Write using only positive exponents. 16x^4z^4/36x-2yz^0
kolbaska11 [484]

Answer:

Step-by-step explanation:

16x^4y^-3z^4 / 36x^-2yz^0

16x^4y^-3z^4 = 16x^4z^4/y^3

36x^-2yz^0 = 36x^-2y(1) =36x^-2y = 36y/x^2

16x^4y^-3z^4 / 36x^-2yz^0

= (16x^4z^4/y^3) / (36y/x^2)

= 16x^4z^4/y^3 * x^2/36y  

= (4/9)x^6z^4/y^4

or another way

fist multiply it out

f(x) = 4x^(3/5) - x^(8/5)

now differentiate knowing d/dx(x^n) = n x^(n-1)

to get

4*(3/5) x^(-2/5) - 8/5 x^(3/5)

simplify to get

12/5/x^(2/5) -   8/5 x^(3/5)

If this is what your looking for please give me brainiest, i have done this problem in the past so i know how to solve it :)

5 0
3 years ago
Find the value of x.<br> x = [?]
zubka84 [21]

Answer:

x = 14 units

Step-by-step explanation:

  • Distance of both the chords from the center of the circle is 9 units.

  • -> Both the chords are equal. (Chords equidistant from the center of the circle are equal)

  • Perpendicular drawn from the center of the circle bisects the chord.

  • -> Measure of one chord = 7 + 7 = 14 unit

  • -> Measure of the other chord = 14 units

  • -> x = 14 units
6 0
2 years ago
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