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stira [4]
3 years ago
5

The 12 girls on the dance team want to raise $300.00 to buy practice shoes. They have already raised $137.52. If each girl raise

s the same amount, how much more money must each student raise?
A. $13.54
B. $25.00
C. $11.46
D. $36.46
Mathematics
1 answer:
IRINA_888 [86]3 years ago
4 0
It would be A $13.54
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Answer:X=2, and -36

Step-by-step explanation:

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What is .65% of 160? show your work?
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65/100 ×160 =104 is the answer
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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Complete the st
Zina [86]

Question:

If cos(θ) =-8/17 and sin(θ) is negative, then sin(θ) = ___  and tan(θ) =___.

Answer:

Sin\theta = \frac{-15}{17}

Tan\theta = \frac{15}{8}

Step-by-step explanation:

Given

cos(θ) =-8/17

Required

sin(θ) = __

tan(θ) =__

The first step is to determine the length of the third side

Given that

cos(\theta) = \frac{Adj}{Hyp}

Where Adj and Hyp represent Adjacent and Hypotenuse

cos(\theta) = \frac{-8}{17}

By comparison

Adj = -8\ and\ Hyp = 17

Using Pythagoras

Hyp^2 = Adj^2 + Opp^2

By Substitution

17^2 = (-8)^2 + Opp^2

289 = 64 + Opp^2

Subtract 64 from both sides

289 - 64 = 64 - 64 + Opp^2

225 = Opp^2

Take square roots of both sides

\sqrt{225} = \sqrt{Opp^2}

\sqrt{225} = Opp

15 = Opp

Opp = 15

The question says that sin(θ) is negative; This implies that θ is in the third quadrant and as such

Opp = -15

From trigonometry

Sin\theta = \frac{Opp}{Hyp}

Sin\theta = \frac{-15}{17}

Also from trigonometry

Tan\theta = Sin\theta / Cos\theta

Tan\theta = \frac{-15}{17} / \frac{-8}{17}

Tan\theta = \frac{-15}{17} * \frac{-17}{8}

Tan\theta = \frac{-15 * -17}{17  * 8}

Tan\theta = \frac{15 * 17}{17  * 8}

Tan\theta = \frac{15}{8}

5 0
3 years ago
the diagram below shows a trapezium. all the measurements are in centimetres. the area of the trapezium is 30 cm^2 l. Set up and
erica [24]

Answer:

x²+x-30

x=5

Step-by-step explanation:

The equation is

(x+3+x-1)/2 × x=30

x²+x-30 (it's the quadratic equation)

x²+6x-5x-30=0

x(x+6)-5(x+6)=0

(x+6)(x-5)=0

x=-6

x=5

It's impossible for Length to be negative

So x=5

5 0
3 years ago
Assume women’s heights are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. a. If one wom
Zarrin [17]

Answer:  a)  0.5636       b) 0.7881

Step-by-step explanation:

We assume that women’s heights are normally distributed .

Let x be the random variable that represents the shoe sizes.

Also, The population mean = \mu=\text{63.6 inches} ; Standard deviation: \sigma=\text{2.5 inches}

a) Formula for z:-

z=\dfrac{x-\mu}{\sigma}

Put x= 64, we get

z=\dfrac{64-63.6}{2.5}=0.16

Now, the probability that the male shoe sizes are greater than 8 :-

P(z

Hence, the probability that her height is less than 64 inches = 0.5636

b. Sample size : n= 25

Then , the formula for z :-

z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}

Put x= 64, we get

z=\dfrac{64-63.6}{\dfrac{2.5}{\sqrt{25}}}=0.8

Then, the probability that they have a mean height less than 64 inches.:_

P(z

Hence, the probability that they have a mean height less than 64 inches. =0.7881

7 0
3 years ago
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