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tekilochka [14]
3 years ago
13

The triangles are similar by??

Mathematics
1 answer:
allsm [11]3 years ago
8 0

the SAS similarity theorem

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Nikolas and Jayson recorded the number
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6,219 .065

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A line that passes which two points would be parallel to a line with a slope of 3/4?
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Please help with surface area
mestny [16]

Answer:

203 square inches.

Step-by-step explanation:

First you have to find the area of the triangles, and you do so by using the formula A = (B·H)/2, where the a represents area, b represents base, and h represents height. Assuming all of the triangles are the same, you multiply 7 by 11 and then divide by 2 (which equals 38.5) and then multiply that by 4 (which equals 154) and then you have the area of all four triangles combined. Then to find the area of the cube you simply square 7, which results in 49, and then add that to the area of the triangles, which leaves you at 203. 203 square inches is your answer.

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the radius of a sheridan balloon is increasing at a rate of 3 centimeters per minute. how fast is the volume changing when the r
san4es73 [151]

The volume of the balloon is 2352\pi cc/min

Explanation:

The radius of the balloon is increasing at a rate of 3 cm/min.

To determine the volume of the balloon when the radius is 14 cm, we shall use the formula V=\frac{4}{3} \pi r^3

The rate of change of r with respect to time t is given by,

\frac{d}{d t}(r)=3 \mathrm{cm} / \mathrm{minute}

Now, we shall determine the \frac{d}{d t}(V)

\begin{aligned}\frac{d}{d t}(V) &=\frac{d}{d t}\left(\frac{4}{3} \pi r^{3}\right) \\&=\frac{4}{3} \pi\left(3 r^{2}\right)\frac{d}{d t}(r) \\&=4 \pi r^{2}\frac{d}{d t}(r)\end{aligned}

Now, we shall determine the \frac{d}{d t}(V) at r=14 \mathrm{cm} and substituting \frac{d}{d t}(r)=3 \mathrm{cm} / \mathrm{minute}, we get,

\begin{aligned}\left(\frac{d V}{d t}\right)_{r=14} &=4 \pi r^{2} \frac{d}{d t}(r)\\&=4 \pi(14)^{2} (3)\\&=4 \pi 196 (3)\\&=2352\end{aligned}

Thus, The volume of the balloon is 2352\pi cc/min

7 0
3 years ago
A.
Veronika [31]

Answer:

a

Step-by-step explanation:

y= 1/2 ^(x+4)

7 0
2 years ago
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