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s2008m [1.1K]
3 years ago
10

How do you solve this

Mathematics
1 answer:
e-lub [12.9K]3 years ago
6 0

Answer:


Step-by-step explanation:


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Lee Middle School orders 15 textbooks for every 12 students. The table shows how many textbooks the school orders for certain nu
Mariulka [41]

Answer: 90 textbooks


Step-by-step explanation:

everytime you multiply the number of students you multiply the books by the same number. to find how many times 72 was multiplied you divide it by 12.

72 ÷ 12 = 6

then multiply the original number of books (15) by 6.

15 * 6 = 90

so for every 72 students the school orders 90 textbooks

5 0
3 years ago
Solve the right triangle. Round decimal answers to the nearest tenth.
Naddika [18.5K]

Answer: c=a2+b2

Step-by-step explanation: the triangle is solvedlike that

3 0
2 years ago
Read 2 more answers
What is the least common multiple of 2x^2 and 4x+12
Shalnov [3]

Answer:

4 x ^2 ( x + 3 )

Step-by-step explanation:

The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.

4 0
3 years ago
Given: cosθ= -4/5 , sin x = -12/13 , θ is in the third quadrant, and x is in the fourth quadrant; evaluate tan 1/2 θ
mrs_skeptik [129]

Answer:

Step-by-step explanation:

If you're looking for what the half angle of the tangent of theta is, I'm a bit confused as to why you think the angle in the 4th quadrant, x, is relevant.  But maybe you don't know it isn't and it's a "trick" to throw you off.  Hmm...

Anyways, the half angle identity for tangent is

tan(\frac{\theta}{2})=\frac{sin\theta}{1+cos\theta}

There are actually 3 identities for the tangent of a half angle, but this one works just as well as either of the others do, so I'm going with this one.  

If theta is in QIII, the value of -4 goes along the x axis and the hypotenuse is 5.  That makes the missing side, by Pythagorean's Theorem, -3.  Filling in our formula:

tan(\frac{\theta}{2})=\frac{-\frac{3}{5} }{1+(-\frac{4}{5}) } which simplifies a bit to

tan(\frac{\theta}{2})=\frac{-\frac{3}{5} }{\frac{5}{5} -\frac{4}{5} }  and a bit more to

tan(\frac{\theta}{2})=\frac{-\frac{3}{5} }{\frac{1}{5} }

Bring up the lower fraction and flip it to divide to get

tan(\frac{\theta}{2})=-\frac{3}{5}*\frac{5}{1} which of course simplifies to

-3.  Choice A.

6 0
3 years ago
The minimum value of f(x) = x3 – 3x2 – 9x + 2 on the interval [–4, 0] is
garri49 [273]

Answer:

-74

Step-by-step explanation:

Graph the function. See attached picture. Between the interval where -4 > x < 0, the graph rises up to a peak and descends back down when x = 0. This means the minimum value will be where x = -4.

Substitute x = -4 into the equation.

f(-4) = (-4)^3 -3(-4)^2 - 9(-4) + 2

f(-4) = -64 -3(16) +36 + 2

f(-4) = -64 - 48 + 36 + 2

f(-4) = -74

5 0
3 years ago
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