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3 years ago

Please help me with this

Mathematics

1 answer:

mihalych1998 [28]3 years ago

4 0

Answer:

Step-by-step explanation:

if u follow 1 from the bottom line straight up, u will get 75

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The volume of a cone with a height of 4 cm is 12π cubic cm. What is the radius of the base?

blondinia [14]

Answer:

r = 6cm

Step-by-step explanation:

Solve for r:

$v = \frac{1}{3} \pi {r}^{2}$

$12\pi = \frac{1}{3} \pi {r}^{2} \\ 12\pi = \frac{\pi {r}^{2} }{3} \\ 3 \times 12\pi = \pi {r}^{2} \\ 36\pi = \pi {r}^{2} \\ \frac{36\pi}{\pi} = \frac{\pi {r}^{2} }{\pi} \\ \sqrt{ {r}^{2} } = \sqrt{36} \\ r = 6$

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2 years ago

Find a nonzero vector orthogonal to the plane through the points: ????=(0,0,1), ????=(−2,3,4), ????=(−2,2,0).

ser-zykov [4K]

Answer:

The nonzero vector orthogonal to the plane is <-9,-8,2>.

Step-by-step explanation:

Consider the given points are P=(0,0,1), Q=(−2,3,4), R=(−2,2,0).

$\overrightarrow {PQ}==$

$\overrightarrow {PR}==$

The nonzero vector orthogonal to the plane through the points P,Q, and R is

$\overrightarrow n=\overrightarrow {PQ}\times \overrightarrow {PR}$

$\overrightarrow n=\det \begin{pmatrix}i&j&k\\ \:\:\:\:\:-2&3&3\\ \:\:\:\:\:-2&2&-1\end{pmatrix}$

Expand along row 1.

$\overrightarrow n=i\det \begin{pmatrix}3&3\\ 2&-1\end{pmatrix}-j\det \begin{pmatrix}-2&3\\ -2&-1\end{pmatrix}+k\det \begin{pmatrix}-2&3\\ -2&2\end{pmatrix}$

$\overrightarrow n=i(-9)-j(8)+k(2)$

$\overrightarrow n=-9i-8j+2k$

$\overrightarrow n=$

Therefore, the nonzero vector orthogonal to the plane is <-9,-8,2>.

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3 years ago

Food Express is running a special promotion in which customers can win a free gallon of milk with their food purchase if there i

frez [133]

In this case probability is the likelihood that from 264 customers one customer wins free gallon of milk with his food purchase, or in other words the probability that one customer receives a star on his receipt.
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3 years ago

SEND HELP!!!!!!!!<br><br> (image is attached)

Mars2501 [29]

Answer:

y=x+20

Step-by-step explanation:

we have to find the slope

y2-y1/x2-x1

3-2/23-22

1/1

y=1x+b

y-22 = 1(x-2) + b

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3 years ago

if the area of polygon P is 20 units² and the ratio of similarity of polygon P to polygon G is 7/3, what is the area of polygon

kipiarov [429]

Hope this helped and I’ve shown my work and the answer! :)

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3 years ago