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lawyer [7]
3 years ago
12

Find the angular size of a circular object with a 1-inch diameter viewed from a distance of 4 yards.

Mathematics
1 answer:
raketka [301]3 years ago
6 0

Answer:

  • 0.40°

Step-by-step explanation:

  • 4 yards = 4*36 in = 144 in

<u>Angle is x</u>

  • tan(x/2) = 1/2 * 1/144
  • x/2 = arctan (1/288)
  • x /2 = 0.1989428794619145°
  • x = 2*0.1989428794619145°
  • x = 0.39788575892°
  • x = 0.40° (rounded)
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I need help with number 3 please and thank you
murzikaleks [220]
So here we're dealing with equivalent fractions.
It's really simple to find the answer, so I'll try to explain the best I can.

2 dogs / 5 cats is really just 2/5.
If we want to find an equivalent fraction, we have to multiply the numerator and the denominator by the same number.

Currently the number of cats is 5, and we need it to be 140. What we need to do is find the number it has to be multiplied by to equal 140, which is 140 divided by 5. 140 divided by 5 is 28, so 5 x 28 = 140!

We need to multiply the denominator (5) by 28, so that we can get 140. What we have now is ?/140.

Like I said, to find an equivalent fraction, we need to multiply the numerator by the same number as we did the denominator, which is 28!

2 x 28 = 56.

So 2/5 is the same as 56/140.

The answer is D) 56 Dogs/140 Cats.

Hope this helps!
If you're confused about anything leave me a reply and I'll try to explain the best that I can!
3 0
3 years ago
An advertising company is designing a new logo that consists of a shaded triangle inside a parallelogram.What is the area, in sq
tatyana61 [14]
<h2>Explanation:</h2><h2 />

The complete question is shown in the figure below. As you can see one square units is well shown in the graph. So we can conclude that the distance between two consecutive points is 1 unit. If so, then we can calculate the area of the parallelogram as follows:

A=b\times h \\ \\ A:Area \\ \\ b:Base \\ \\ h:Height \\ \\ \\ CB=b \\ \\ AB=h

Then, finding CB by Pythagorean Theorem:

CB=\sqrt{6^2+4^2} \\ \\ CB=2\sqrt{13}

And:

AB=4

Therefore:

A=(2\sqrt{13})(4) \\ \\ \boxed{A=8\sqrt{13} \ units^2}

6 0
3 years ago
Factor each Polynomial<br> <img src="https://tex.z-dn.net/?f=a%5E%7B2%7D-4a-24%2B6a" id="TexFormula1" title="a^{2}-4a-24+6a" alt
Keith_Richards [23]

Answer:

Correct answer:  (a - 4) · (a + 6)

Step-by-step explanation:

Given:

a² - 4a - 24 + 6a = a² - 4a + 6a - 24 = a (a - 4) + 6 (a - 4) = (a - 4) · (a + 6)

God is with you!!!

5 0
3 years ago
Write the following as an algebraic expression: 7 less than 3 times x.
Lady bird [3.3K]

Answer:

3-7x

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
78+22=22+78<br> (16+4)+11=(11+4)+16<br> (12+8)+9=(9+8)+12
Ksju [112]
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4 0
3 years ago
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