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3 years ago

Find the missing side. Round to the nearest tenth.

Mathematics

2 answers:

blondinia [14]3 years ago

3 0

Step-by-step explanation:

sin∅ = opp/hyp

sin73° = x/15

x = 15sin73°

x = 15 × 0.9563

x = 14.3446

x ≈ 14.3 to the nearest tenth

kap26 [50]3 years ago

3 0

Answer:

To the nearest tenth,the answer is 14.3!!!!

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Help on this please

eimsori [14]

Answer:

Opening: Opens upwards

Axis of Symmetry: -7/2

Vertex: (-7/2, -81/4)

X - intercepts: (1, 0) and (-8, 0)

Y - intercept: (0, -8)

Step-by-step explanation:

Opening: 'a' is greater than zero

Axis of Symmetry:

$\frac{-7}{2(1)} =\frac{-7}{2}$

Vertex:

$y= (\frac{-7}{2})^{2} +7(\frac{-7}{2}) -8\\y= (\frac{49}{4}) +(\frac{-49}{2}) -8\\y= \frac{49}{4} +\frac{-98}{4} -8\\y=\frac{-49}{4}-8\\y = \frac{-81}{4}$

X - intercepts:

(x-1)(x+8)

x = 1 and x = -8

Y - intercept: (0, -8)

$y= 0^{2} +7(0) -8\\\\y= -8\\$

5 0

3 years ago

Hannah is a photographer who specializes in portraits. This morning, she soent four hours doing graduation portrait sessions. In

FromTheMoon [43]

She will likely finish the graduation sessions in less time.

7 0

3 years ago

Legalize Marijuana, Part II. As discussed in Exercise 6.12, the 2010 General Social Survey reported a sample where about 48% of

kvv77 [185]

Answer:

Around 2397 Americans must be surveyed to get a margin of error of 2%.

Step-by-step explanation:

We are given the following in the question:

Proportion of US residents who thinks marijuana should be made legal = 48%

$\hat{p} = 0.48$

We have to construct a 95% confidence interval.

Margin of error = 2% = 0.02

Formula for margin of error =

$z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

Putting values, we get,

$0.02 = 1.96\times \sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}\\\\0.02 = 1.96\times \sqrt{\dfrac{0.48(1-0.48)}{n}}\\\\\sqrt{n} = 1.96\times \dfrac{\sqrt{0.48(1-0.48)}}{0.02}\\\\\sqrt{n}=48.96\\n = 2397.0816\approx 2397$