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erica [24]
3 years ago
5

Last year at a certain high school, there were 50 boys on the honor roll and 75 girls on the honor roll. This year, the number o

f boys on the honor roll increased by 8% and the number of girls on the honor roll increased by 24%. By what percentage did the total number of students on the honor roll increase? Round your answer to the nearest tenth (if necessary).
Mathematics
2 answers:
Harman [31]3 years ago
8 0

Answer:

17.6

Step-by-step explanation:

Arturiano [62]3 years ago
6 0

Answer:

About 15.3%!

Step-by-step explanation:

ill explain in comments, i hope this helps you out

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uranmaximum [27]

One way to do this is to notice

\dfrac{17\pi}{12}=\dfrac\pi6+\dfrac{5\pi}4

Then

\tan\dfrac{17\pi}{12}=\tan\left(\dfrac\pi6+\dfrac{5\pi}4\right)=\dfrac{\tan\frac\pi6+\tan\frac{5\pi}4}{1-\tan\frac\pi6\tan\frac{5\pi}4}

We have

\tan\dfrac\pi6=\dfrac{\sin\frac\pi6}{\cos\frac\pi6}=\dfrac{\frac12}{\frac{\sqrt3}2}=\dfrac1{\sqrt3}

and since \tan x has a period of \pi,

\tan\dfrac{5\pi}4=\tan\left(\pi+\dfrac\pi4\right)=\tan\dfrac\pi4=1

and so

\tan\dfrac{17\pi}{12}=\dfrac{\frac1{\sqrt3}+1}{1-\frac1{\sqrt3}}=\dfrac{1+\sqrt3}{\sqrt3-1}=2+\sqrt3

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4 years ago
Math question answer a b and c hurry answer each one
liraira [26]
A. let the distance be d
so we have Δd/Δt=8.8min
Δd= 8.8Δt
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c. d=rt
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4 years ago
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DVDs can be made in a factory in New Mexico at a rate of 20 DVDs for $4.60.
Helen [10]

Answer:

20/4.6 or 4.35

Step-by-step explanation:

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6 0
3 years ago
Find the measures of the angles of an isosceles triangle with a vertex angle of 42 degrees
I am Lyosha [343]

Answer:

69°, 69°, and 42°

Step-by-step explanation:

Isosceles triangles have three angles -- one vertex angle and two base angles.

The <u>base angles have the same measure</u> and the vertex angle has a different measure.

<u>Remember all triangles' interior angles sum to 180°.</u>

If the vertex angle is 42°, then the two base angles combined are:

180° - 42° = 138°

Since the base angles are the same, <u>each base angle is:</u>

138° ÷ 2 = 69°

Therefore the angles in the triangle measure 69°, 69°, and 42°.

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3 years ago
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SVETLANKA909090 [29]

Answer:

8

Step-by-step explanation:

Step 1: Set up equation

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Step 3: Divide both sides by -1

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So 7 subtracted by 8 equals -1.

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3 years ago
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