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Verizon [17]
3 years ago
8

Tanya polled boys and girls in her grade to determine how many prefer math to other subjects. Her results are shown in the table

. Students Prefer Math Total Students 30 Boys 14 Girls 16 Which is a true statement? 32 O A. The relationship is proportional because 16 - 4= 2 and 32 - 30 = 2 OB. The relationship is proportional because 30 - 14 = 16 and 32 - 16 = 16. O C. The relationship is not proportional because 14 16 = 'and 30 32 15 16 OD. The relationship is not proportional because 14 30 = 7 16 15 and 32 2​
Mathematics
1 answer:
worty [1.4K]3 years ago
8 0

Answer:The answer is

D, the relationship is not proportional because 14/30 = 7/15 and 16/32 = 1/2

Step-by-step explanation:

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Which is the best summary of this part of the passage?
nignag [31]

Answer: d

hahehebbsjdhdbrbsndjjd

Step-by-step explanation:

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2 years ago
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Given a graph for the transformation of f(x) in the format g(x) = f(x) + k, determine the k value.
dimaraw [331]

Answer:

4

Step-by-step explanation:

g(x) is the graph of f(x) shifted up 4 units.

5 0
1 year ago
What is the exact value of sin 45° ?<br><br>enter your answer, as a simplified fraction.
Ne4ueva [31]

Look at the picture.

Use the Pythagorean theorem:

b^2=a^2+a^2\\\\b^2=2a^2\to b=\sqrt{2a^2}\\\\b=\sqrt{a^2}\cdot\sqrt2\\\\b=a\sqrt2

\sin\theta=\dfrac{opposite}{hypotenuse}\\\\\theta=45^o,\ opposite=a,\ hypotenuse=a\sqrt2

substitute

\sin45^o=\dfrac{a}{a\sqrt2}=\dfrac{1}{\sqrt2}\cdot\dfrac{\sqrt2}{\sqrt2}=\dfrac{\sqrt2}{2}

Answer: \sin45^o=\dfrac{\sqrt2}{2}

7 0
3 years ago
A rancher plans to make 4 identical and adjacent rectangular pens against a barn (see figure below), each with an area of 100 m^
Tasya [4]

Answer:

10 by 10 meters

Step-by-step explanation:

In calculus terms, you can use the formula for the perimeter which is 2l + 2w, and the area l × w.

Then since the area is 100

l × w = 100. So w = 100/l

Then substitute this into the perimeter formula.

w = 100/l → 2l + 2(w) = 2l + 2(100/l) = 2l + 200/l.

Then take the derivative d/dx [take the derivative of a quantity with respect to x], by using a simpler method known as the power rule:

d/dx[x^n] = nx^n-1

so p = 2l + 200/l becomes p' = 2 - 200/l^2

Since the derivative of a constant is 0, to solve for l, set p' to 0

0 = 2 - 200/l^2 → -200/l^2 = -2 → 200/l^2 = 2 → 2l^2 = 200 → l^2 = 100 → l = √100, l = 10.

Now that we know the length is 10, We can substitute the length in the original equation to find the width.

l = 10 → w = 100/l → w = 100/10, w = 10.

Therefore the perimeter of each rectangular pen is 40, with a length of 10 and width of 10.

If you want to do this algebraicly, there are more steps involved

7 0
2 years ago
Please help me out ?
vova2212 [387]
An obtuse triangle is formed if there is an angle that has a measure of more than 90 degrees. You can determine if an obtuse angle is formed by two sides of a triangle if it meet this condition:

Let a and b be two sides of a triangle and c is the longest side:
a^{2}  +  b^{2}  \ \textless \   c^{2}

So taking your given:

10^{2}  +  15 ^{2} < c^{2}
100 + 225   < c^{2}
325  <  c^{2}

To get the smallest possible number, just get the square root of both sides:

\sqrt{325} < \sqrt{c^{2} }
  18.03  < c

So your smallest possible whole number is 19
5 0
3 years ago
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