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2 years ago

Find the missing angle 25 points in it for you plus a thanks, brainliest and 5 star

Mathematics

2 answers:

SVEN [57.7K]2 years ago

8 0

Answer:

$27.82 \degree$

Step-by-step explanation:

To find the unknown angle use tan rule

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

Let the unknown angle be x

$\tan(x) = \frac{o}{a} \\ \tan(x) = \frac{19}{36} \\ \tan(x) = 0.5277 \\ x = \tan ^{ - 1} 0.5277 \\ x = 27.82 \degree$

Hope this helps you.

Let me know if you have any other questions :-):-)

Nina [5.8K]2 years ago

5 0

Detailed explanation below

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How many rectangular faces does a pentagonal pyramid have?

Evgen [1.6K]

My best answer 5 faces.

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2 years ago

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Is the number 3 a rational number?

VikaD [51]

Answer:

Yes.

Step-by-step explanation:

The number 3 is a natural number, and all of these types of numbers are rational.

Another way to look at it is if a number can be written as a fraction, the number is rational.

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3 years ago

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4 coffees and 12 lattes. Costs $61

Gala2k [10]

Answer:

Cost of a coffee is $2.5 and cost of a latte is $4.25.

Step-by-step explanation:

Let cost of 1 coffee be 'c' and cost of 1 latte be 'l' dollars.

Given:

4 coffees and 12 lattes cost $61.

12 coffees and 7 lattes cost $59.75.

∵ 1 coffee cost = $c$

∴ 4 coffees cost = $4c$ and 12 coffee cost = $12c$

∵ 1 latte cost = $l$

∴ 12 lattes cost = $12l$ and 7 lattes cost = $7l$

Now, as per question:

$4c+12l=61-----1\\12c+7l=59.75----2$

Now, multiplying equation (1) by -3 and adding the result to equation (2). This gives,

$-3(4c+12l)=-3(61)\\\\-12c-36l=-183\\12c+7l=59.75\\+\\----------\\0-29l=-123.25\\\\l=\frac{-123.25}{-29}=\$4.25$

Now, plug in the value of 'l' in equation 1 to solve for 'c'. This gives,

$4c+12(4.25)=61\\\\4c+51=61\\\\4c=61-51\\\\4c=10\\\\c=\frac{10}{4}=\$2.5$

Therefore, cost of a coffee is $2.5 and cost of a latte is $4.25.

4 0

3 years ago

From a large number of actuarial exam scores, a random sample of scores is selected, and it is found that of these are passing s

Mnenie [13.5K]

Supposing 60 out of 100 scores are passing scores, the 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).

The lower limit is 0.5.
The upper limit is 0.7.

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the z-score that has a p-value of $\frac{1+\alpha}{2}$ .

60 out of 100 scores are passing scores, hence $n = 100, \pi = \frac{60}{100} = 0.6$

95% confidence level

So $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so $z = 1.96$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 - 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.5$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 + 1.96\sqrt{\frac{0.6(0.4)}{100}} = 0.7$

The 95% confidence interval for the proportion of all scores that are passing is (0.5, 0.7).

The lower limit is 0.5.
The upper limit is 0.7.

A similar problem is given at brainly.com/question/16807970

5 0

2 years ago

A blueprint for a house has a scale of 1:5 feet. The living room has a length of 2.5 inches and a width of 3 inches. What is the

stiks02 [169]

Answer:

Step-by-step explanation:

Set this up as a proportion, with inches on the top and feet on the bottom for our scale. We will find the actual length first, then we'll find the width.

$\frac{in}{ft}:\frac{1}{5}=\frac{2.5}{x}$

Cross multiply to get that the actual length is 5(2.5) = 12.5 feet. Now for the width:

$\frac{in}{ft}:\frac{1}{5}=\frac{3}{x}$

Cross multiply to get that the actual width is 5(3) = 15 feet.

If you want the area of the room, multiply the length times the width to get

A = 15(12.5)

A = 187.5 feet squared

7 0

2 years ago