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Kobotan [32]
2 years ago
13

What is the volume of this figure?

Mathematics
1 answer:
Rasek [7]2 years ago
6 0

Answer:

935

Step-by-step explanation:

Let's solve the rectangle first.  We are dividing this figure into two sepreate shapes, can you see that?

-

1/2*B*h

630

-

Now for the other shape.

Volume = 315

630+315=935

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Alla [95]
\bf \begin{array}{clclll}
3^{1001}&\qquad &4^{1002}\\
\uparrow &&\uparrow \\
a&&b
\end{array}\\\\
-----------------------------\\\\
(a+b)^2-(a-b)^2\implies (a^2+2ab+b^2)-(a^2-2ab+b^2)
\\\\\\
a^2+2ab+b^2-a^2+2ab-b^2\implies 2ab+2ab\implies 4ab
\\\\\\
now\qquad 4(3^{1001})(4^{1002})=k12^{1001}\qquad 
\begin{cases}
12^{1001}\\
(4\cdot 3)^{1001}\\
4^{1001}\cdot 3^{1001}
\end{cases}

\bf \\\\\\
4(3^{1001})(4^{1002})=k(4^{1001}\cdot 3^{1001})\implies \cfrac{4(3^{1001})(4^{1002})}{4^{1001}\cdot 3^{1001}}=k
\\\\\\
4\cdot \cfrac{3^{1001}}{3^{1001}}\cdot \cfrac{4^{1002}}{4^{1001}}=k\implies 4\cdot 4^{1002}4^{-1001}=k\impliedby 
\begin{array}{llll}
\textit{same base}\\
\textit{add the}\\
exponents
\end{array}
\\\\\\
4\cdot 4^{1002-1001}=k\implies 4\cdot 4^1=k\implies 16=k
6 0
3 years ago
Find the value of x. Round you answer to the nearest tenth.<br> 20<br> 18<br> X
Zielflug [23.3K]

Answer:

  21.9

Step-by-step explanation:

The altitude of an isosceles triangle bisects the base. So, x represents the hypotenuse of a right triangle with legs of 9 and 20. It can be found using the Pythagorean theorem:

  x^2 = 9^2 +20^2 = 81 +400

  x = √481 ≈ 21.932

The length x is about 21.9 units.

4 0
3 years ago
Rewrite the equation -30x + 2y- 100=0
Black_prince [1.1K]
Rewritten: y=15x + 50
slope: 15
y intercept: (0,50)
7 0
3 years ago
Please help.. thank you for your assistance :)
ludmilkaskok [199]

Answer:

the slope is 1 so D

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Two perpendicular lines intersect at the origin if the slope of the first line is 3,what is the equation of the second line
ddd [48]

· Perpendicular lines have slopes that are opposite reciprocals of each other

· Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept


If the slope of the first line is 3, the slope of the second line is -1/3. Since the lines intersect at the origin, neither of them have a y-intercept.


Answer:

C) y = -1/3x

3 0
3 years ago
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