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2 years ago

Which ratios of side lengths are equal to tan (a) ?

Mathematics

2 answers:

Eddi Din [679]2 years ago

4 0

Answer:

$tan(\alpha)=\frac{opposite}{adjacent}$

Step-by-step explanation:

$tan(\alpha)=\frac{opposite}{adjacent}$

Effectus [21]2 years ago

3 0

Answer:

tan = opposite ÷ adjecent

opposite is the side perpendicular( at 90 degrees to the base or adjacent side.

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What is the area if this figure?A. 49.5in B. 66.5in C. 84in D91in

Arisa [49]

Answer:

Step-by-step explanation:

7 x 7 = 49 which is the area of the square

7 x 12 x .5 = 42 so if you add them together

49 + 42 = 91

4 0

3 years ago

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A spherical ball just fits inside a cylindrical can, 20 centimeters tall, with a diameter of 20 centimeters. Which expression gi

soldier1979 [14.2K]

Answer:

B. $\frac{4}{3}\pi (10)^3$

Step-by-step explanation:

Given:

A spherical ball just fits inside a cylindrical can, 20 centimeters tall, with a diameter of 20 centimeters.

diameter of Sphere = 20 centimeters

hence radius = half of diameter = $\frac{1}{2}\times 20 = 10\ cm$

Hence we need to find the volume of sphere.

Volume of sphere = $\frac{4}{3}\pi r^3$

Here r is the radius of the circle.

Hence Volume of sphere = $\frac{4}{3}\pi (10)^3$

Hence Option B $\frac{4}{3}\pi (10)^3$ is the correct answer.

4 0

3 years ago

(8/9)^2 I need to evaluate this

tigry1 [53]

(8/9)^2 is just 8/9 squared, or 8/9 * 8/9. This is 64/81, and cannot be reduced. This is therefore our answer.

7 0

3 years ago

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Two planes are flying towards each other. In 45 minutes, the two planes will be

ELEN [110]

The distance between the two planes will be 800 miles.

It should be noted that the total speed of the two planes will be the sum of their individual speeds. Also, the planes have 1 hour to meet each other.

From the information given, the distance between the planes is 200 miles after they flew for 45 minutes. Therefore, the remaining distance will be:

= 1 hour - 45 minutes = 15 minutes.

The distance between the planes will then be:

= 200/15 × 60

= 200 × 4

= 800 miles

Therefore, the distance between the two planes will be 800 miles.

Read related link on:

brainly.com/question/4490374

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2 years ago

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A United Nations report shows the mean family income for Mexican migrants to the United States is $27,000 per year. A FLOC (Farm

disa [49]

Answer:

We conclude that the mean family income for Mexican migrants to the United States is $27,000 per year and the provided information is consistent with the United Nations report.

Step-by-step explanation:

We are given that a United Nations report shows the mean family income for Mexican migrants to the United States is $27,000 per year.

A FLOC evaluation of 25 Mexican family units reveals a mean to be $30,000 with a sample standard deviation of $10,000.

Let $\mu$ = true mean family income for Mexican migrants.

So, Null Hypothesis, $H_0$ : $\mu$ = $27,000 {means that the mean family income for Mexican migrants to the United States is $27,000 per year}

Alternate Hypothesis, $H_A$ : $\mu$ $\neq$ $27,000 {means that the mean family income for Mexican migrants to the United States is different from $27,000 per year}

The test statistics that would be used here One-sample t test statistics as we don't know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean family income = $30,000

s = sample standard deviation = $10,000

n = sample of Mexican family = 25

So, the test statistics = $\frac{30,000-27,000}{\frac{10,000}{\sqrt{25} } }$ ~ $t_2_4$

= 1.50

The value of t test statistics is 1.50.

Since, in the question we are not given the level of significance so we assume it to be 5%. Now, at 5% significance level the t table gives critical values of -2.064 and 2.064 at 24 degree of freedom for two-tailed test.

Since our test statistic lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the mean family income for Mexican migrants to the United States is $27,000 per year and the provided information is consistent with the United Nations report.

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3 years ago