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1 year ago

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Mathematics

1 answer:

katrin2010 [14]1 year ago

5 0

The volume of any shape is the amount of space in it.

The volume of the cylinder is 1570 square units

<h3>How to determine the volume?</h3>

The question is incomplete. Assume the following parameters

Shape = Cylinder

Radius, r = 10

Height, h = 5.

The volume of a cylinder is:

V = πr^2h

So, we have:

V = 3.14 * 10^2 * 5

Evaluate the product

V = 1570

Using the assumed values, the volume of the cylinder is 1570 square units

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HI PLEASE ANSWER THIS QUESTION THANK YOU SO MUCH!

krek1111 [17]

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3 years ago

Find cos B exactly if a = 15, b = 11, and angle Cis a right angle

astra-53 [7]

Answer:

Final answer is $\cos\left(B\right)=\frac{15}{\sqrt{346}}$ which is the last choice.

Step-by-step explanation:

In triangle ABC, we have been given a = 15, b = 11, and angle C is a right angle.

Now using those values, we need to find the exact value of cos B.

Apply Pythagorean formula:

$AB^2=AC^2+BC^2$

$AB^2=11^2+15^2$

$AB^2=121+225$

$AB^2=346$

$AB=\sqrt{346}$

Now apply formula of cos

$\cos\left(B\right)=\frac{BC}{AB}$

$\cos\left(B\right)=\frac{15}{\sqrt{346}}$

Hence final answer is $\cos\left(B\right)=\frac{15}{\sqrt{346}}$

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3 years ago

Quadrilateral ABCDABCD has vertices AA (-2, 2), BB (4, 5), CC (3, 0) and DD (-3, -3). What are the coordinates of the midpoint o

Arada [10]

Check the picture below.

the quadrilateral is a parallelogram, thus the diagonals bisect each other, so, we could have used either diagonal, and get the same midpoint.

$\bf \textit{middle point of 2 points }\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
B&({{ 4}}\quad ,&{{ 5}})\quad 
% (c,d)
D&({{ -3}}\quad ,&{{ -3}})
\end{array}\qquad
% coordinates of midpoint 
\left(\cfrac{{{ x_2}} + {{ x_1}}}{2}\quad ,\quad \cfrac{{{ y_2}} + {{ y_1}}}{2} \right)
\\\\\\
\left(\cfrac{{{ -3+4}} }{2}\quad ,\quad \cfrac{-3+5}{2} \right)$

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