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3 years ago

If you have two triangles with the same shape but one is twice as large as the other, are the triangles similar?

1 answer:

8 0

The triangles are similar because of one triangle is 2x bigger than the other there seems to be a dilation. And since on triangle is 2x bigger the dilation between both triangles would be 2. I hope this helped :)

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Please help with the attachment below! ^-^

r-ruslan [8.4K]

6=2 180-65= 115 degrees

3 0

3 years ago

Find the surface area of a sphere that has a volume of 288 cu. in.

LenKa [72]

The formula of a volume of a sphere:

$V=\dfrac{4}{3}\pi R^3$

R - radius

We have the volume = 288 in³. Substitute:

$\dfrac{4}{3}\pi R^3=288\qquad\text{multiply both sides by 3}\\\\4\pi R^3=864\qquad\text{divide both sides by}\ 4\pi\\\\R^3=\dfrac{216}{\pi}\to R=\sqrt[3]{\dfrac{216}{\pi}}\\\\R=\dfrac{\sqrt[3]{216}}{\sqrt[3]{\pi}}\\\\R=\dfrac{6}{\sqrt[3]{\pi}}\ in$

The formula of a surface area of a sphere:

$S.A.=4\pi R^2$

Substitute:

$S.A.=4\pi\left(\dfrac{6}{\sqrt[3]{\pi}}\right)^2=4\pi\cdot\dfrac{6^2}{\sqrt[3]{\pi^2}}=\dfrac{4\pi\cdot36}{\sqrt[3]{\pi^2}}=\dfrac{144\pi}{\sqrt[3]{\pi^2}}\\\\S.A.=\dfrac{144\pi}{\sqrt[3]{\pi^2}}\cdot\dfrac{\sqrt[3]{\pi}}{\sqrt[3]{\pi}}=\dfrac{144\pi\sqrt[3]{\pi}}{\sqrt[3]{\pi^3}}=\dfrac{144\pi\sqrt[3]{\pi}}{\pi}=\boxed{144\sqrt[3]{\pi}\ in^2}$

4 0

3 years ago

Brandy solved 1/6/ 5 using a related multiplication expression. What multiplication expression did she use?

Advocard [28]

<h3><u>Question:</u></h3>

Brandy solved 1/6÷ 5 by using a related multiplication expression. which multiplication expression did she use

<h3><u>Answer:</u></h3>

The expression that she can use is $\frac{1}{6} \times \frac{1}{5}$

<h3><u>Solution:</u></h3>

<em><u>Given that Brandy solved the following expression</u></em>

$\frac{1}{6} \div 5$

We have to find the multiplication expression she used

From given expression,

$\frac{1}{6} \div 5$

We can convert the division symbol to multiplication

Convert the fraction division process to a multiplication process by using the following steps:

Change the “÷” (division sign) to “x” (multiplication sign) and invert the number to the right of the sign.

Multiply the numerators. Multiply the denominators

Therefore,

$\frac{1}{6} \div 5 = \frac{1}{6} \times \frac{1}{5}$

$\frac{1}{6} \div 5 = \frac{1}{6} \times \frac{1}{5} = \frac{1}{30}$

Thus, the expression that she can use is $\frac{1}{6} \times \frac{1}{5}$

5 0

3 years ago

Find sin(a), cos(a), and tan(a). show your work.

katen-ka-za [31]

Answer:

sin is 8/17

cos is 15/17

tan is 8/15

8 0

3 years ago

To the nearest hundred what is the greatest whole number that rounds to 2500 the least whole number

snow_lady [41]

So, we round to hundreds, yes? is this waht i understood?

then the greatest number that will be rounded down to 2500 will be 2549 - the next number, 2550 would be rounded to 2600

and the least would be 2450. 2449 would be rounded down to 2400.

8 0

3 years ago