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daser333 [38]
3 years ago
6

Please help me solve

Mathematics
2 answers:
Lana71 [14]3 years ago
6 0

Answer:

C. 30 ft

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

When we draw out a picture, we should see that we use the Pythagorean Theorem to help solve our missing height:

10² + b² = 32²

b² = 32² - 10²

b = √924

b = 2√231 or 30.3974

Round that to 30 feet.

guajiro [1.7K]3 years ago
4 0

Answer:

30 ft

Step-by-step explanation:

10^2 + y^2 = 32^2

100 + y^2 = 1024

y^2 = 924

y = 30.397

Answer: 30 ft

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Find the Sum of two consecutive odd numbers plus eighteen is 170
puteri [66]

Answer:

75, 77

Step-by-step explanation:

Let the first odd number = 2x -1

Let the second odd number = 2x + 1

2x - 1 + 2x + 1 + 18 = 170           Combine like terms on the left.

4x + 18 = 170                             Subtract 18 from both sides.

4x = 170 - 18                             Combine like terms on the right

4x = 152                                     Divide by 4

4x/4 = 152/4

x = 38

2 * 38 - 1 = 75

2 * 38 + 1 = 77

4 0
3 years ago
Every person at a party of twenty eight people said hello to each of the other people at the party once. How many "hellos" were
Mrac [35]

Answer:

756 hellos

Step-by-step explanation:

Each 28 persons say hello once to every 27 persons

So, 28 × 27= 756

3 0
3 years ago
What is the exact value of sin(105°)?<br><br><br>ANSWER - D) sqrt(2 + sqrt3)/2
Fofino [41]

Answer:

\sin 105^{\circ} = \frac{\sqrt{6}+\sqrt {2}}{4}

Step-by-step explanation:

We can use the following trigonometrical identity:

\sin (\alpha - \beta) = \sin \alpha \cdot \cos \beta - \cos \alpha \cdot \sin \beta (1)

Where \alpha, \beta are angles, measured in sexagesimal degrees.

If we know that \alpha = 135^{\circ} and \beta = 30^{\circ}, then the value of the given function is:

\sin 105^{\circ} = \sin 135^{\circ}\cdot \cos 30^{\circ} - \cos 135^{\circ}\cdot \sin 30^{\circ}

\sin 105^{\circ} = \left(\frac{\sqrt{2}}{2} \right)\cdot \left(\frac{\sqrt{3}}{2}\right)-\left(-\frac{\sqrt{2}}{2} \right)\cdot \left(\frac{1}{2}\right)

\sin 105^{\circ} = \frac{\sqrt{6}}{4}+\frac{\sqrt{2}}{4}

\sin 105^{\circ} = \sqrt{\frac{6}{16} }+\sqrt{\frac{2}{16} }

\sin 105^{\circ} = \sqrt{\frac{3}{8} }+\sqrt{\frac{1}{8} }

\sin 105^{\circ} = \frac{\sqrt{3}+1}{2\cdot \sqrt{2}}

\sin 105^{\circ} = \frac{\sqrt{6}+\sqrt {2}}{4}

7 0
3 years ago
If the given sequence is a geometric sequence, find the common ratio.
marusya05 [52]

Answer:

  d.  1/4

Step-by-step explanation:

The common ratio will be the ratio of any two adjacent terms:

  (3/12)/(3/3) = (1/4)/1 = 1/4

8 0
3 years ago
Read 2 more answers
If the inspection division of a county weights and measures department wants to estimate the mean amount of soft-drink fill in 2
nikklg [1K]

Answer:

n=97

Step-by-step explanation:

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Assuming the X follows a normal distribution

X \sim N(\mu, \sigma=0.01)

We know that the margin of error for a confidence interval is given by:

Me=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

The next step would be find the value of \z_{\alpha/2}, \alpha=1-0.95=.05 and \alpha/2=0.025

Using the normal standard table, excel or a calculator we see that:

z_{\alpha/2}=1.96

If we solve for n from formula (1) we got:

\sqrt{n}=\frac{z_{\alpha/2} \sigma}{Me}

n=(\frac{z_{\alpha/2} \sigma}{Me})^2

And we have everything to replace into the formula:

n=(\frac{1.96(0.05)}{0.01})^2 =96.04

And if we round up the answer we see that the value of n to ensure the margin of error required \pm=0.01 Liters is n=97.

5 0
4 years ago
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