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4 years ago

What is the volume of the pyramid?

1 answer:

8 0

the volume of a pymaird is Volume of a PyramidA pyramid has a base and triangular sides which rise to meet at the same point. The base may be any polygon such as a square, rectangle, triangle, etc. The general formula for the volume of a pyramid is:Area of the base * Height * 1/3The volume of a pyramid with a rectangular base is equal to:
Length_of_base * Width_of_base * Height * 1/3

d

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How to solve these two problems ？

puteri [66]

8) $\theta$ is -0.896 radians

9) length of arc is 41.91 cm

Solution:

Given that,

$tan\ \theta = \frac{-5}{4}$

$\theta$ is in quadrant 4

To find: $\theta$

From given,

$tan\ \theta = \frac{-5}{4}\\\\\theta = tan^{-1} \frac{-5}{4}\\\\\theta = tan^{-1} (-1.25)\\\\\theta = -51.34$

Thus value of $\theta$ is -51.34 degrees

Convert degrees to radians

$-51.34\ degree = -51.34 \times \frac{ \pi }{180}\ radian\\\\-51.34\ degree = -0.896\ radian$

Thus $\theta$ is -0.896 radians

From given,

radius = 15.4 cm

$\theta = \frac{13 \pi }{15}$

The length of arc when angle in radians is:

$arc\ length = r \times \theta\\\\arc\ length = 15.4 \times \frac{ 13 \pi }{15}\\\\arc\ length = 15.4 \times 2.721\\\\arc\ length = 41.91$

Thus length of arc is 41.91 cm

4 0

3 years ago

A 3-ounce serving of tuna fish provides 24 grams of protein. How many grams of protein are in a 19-ounce serving of tuna fish?

Veronika [31]

24/3 is 8, therefore there are 8 grams of protein per ounce of tuna. So 19*8 wld be 152.. there would be 152 grams of protein in a 19 ounce serving.

6 0

3 years ago

Read 2 more answers

Y-5 = -3 (x+2) in standard form

expeople1 [14]

Answer:

maybe y - -3x = -11?

Step-by-step explanation:

im rushing so i may have did it wrong sorry

8 0

3 years ago

What is the solution to the equation fraction 1 over 4x = 5?

AVprozaik [17]

$\displaystyle \frac{1}{4x}=5\quad \Big|\cdot 4x\\\\1=20x\quad\Big|:20\\\\x= \frac{1}{20}$

7 0

3 years ago

Please help, thanks!

Mamont248 [21]

((-4x^3)(y^4))^-3
--------------------------
(2xy^4)^-4
16x^4y^16
=------------------------
-64x^9y^12
-16y^4
=------------------------
64x^5
-y
=------------------------
4x^5

So the final answer is:

-y^4
-------
4x^5

(Btw if "^" is in front of a number, that means it is an exponent, so when your writing this on paper, just write it as a regular exponent without the "^". I had to do that since I'm on a computer.)

Hopefully this was helpful in some way.

7 0

4 years ago