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3 years ago

A community college has 2,000 students and 50 instructors. Next year the enrollment will be 6,000. How many new instructors shou

ld be hired if the college wants to keep the same studentto instructor ratio?

Mathematics

1 answer:

juin [17]3 years ago

7 0

$\begin{array}{ccc}2,000&-&50\\\\6,000&-&x\end{array}\\\\\\2,000x=50\times6,000\ \ \ \ \ /:2,000\\\\x=\frac{300,000}{2,000}\\\\x=150\\\\150-50=100\\\\Answer:100\ new\ instructors.$

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I need help with this problem

Arada [10]

Answer:

65.56°

Step-by-step explanation:

We know that if we take dot product of two vectors then it is equal to the product of magnitudes of the vectors and cosine of the angle between them

That is let p and q be any two vectors and A be the angle between them

So, p·q=|p|*|q|*cosA

⇒ $cosA=\frac{u.v}{|u||v|}$

Given u=-8i-3j and v=-8i+8j

$|u|=\sqrt{(-8)^{2}+ (-3)^{2}} =8.544$

$|v|=\sqrt{(-8)^{2}+ (8)^{2}} =11.3137$

let A be angle before u and v

therefore, $cosA=\frac{u.v}{|u||v|}=\frac{(-8)*(-8)+(-3)*(8)}{8.544*11.3137} =\frac{40}{96.664}$

⇒ $A=arccos(\frac{40}{96.664} )=arccos(0.4138 )=65.56$

Therefore angle between u and v is 65.56°

5 0

3 years ago

Round to the nearest thousand. 5,568

cricket20 [7]

Answer:

Round to the nearest thousand.

5,568

= 5,000

7 0

3 years ago

Read 2 more answers

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NemiM [27]

Answer:

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3 years ago

The weight of an elephant is 10^3 times the weight of a cat. If the elephant weighs 14,000 pounds,how many pounds does the cat w

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Answer:

14 pounds.

Step-by-step explanation:

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3 years ago

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MAVERICK [17]

Answer:

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Step-by-step explanation:

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3 years ago