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olya-2409 [2.1K]
3 years ago
13

21. Brian wants to purchase a piece of fabric

Mathematics
1 answer:
ella [17]3 years ago
8 0

Brian should purchase Choice C of fabric

<em><u>Solution:</u></em>

Given that Brian wants to purchase a piece of fabric  that is between 49 and 53 inches long

So piece of fabric should be between: 49 and 53 inches

  • Choice A is 4\frac{3}{4} feet long

Let us convert feet to inches

4\frac{3}{4} feet = \frac{4 \times 4 + 3}{4} = \frac{19}{4} feet

Now convert to inches

We know that,

1 feet = 12 inches

\frac{19}{4} feet = \frac{19}{4} \times 12 = 57 inches

But this choice is greater than given condition that piece of fabric should be between: 49 and 53 inches

So this is not correct

  • Choice  B is 4\frac{1}{2} feet long

4\frac{1}{2} feet = \frac{2 \times 4 + 1}{2} = \frac{9}{2} feet

Now convert to inches

\frac{9}{2} feet = \frac{9}{2} \times 12 inches = 54 inches

But this choice is greater than given condition that piece of fabric should be between: 49 and 53 inches

So this is not correct

  • Choice C is 4\frac{1}{3} feet  long

4\frac{1}{3} feet = \frac{3 \times 4 + 1}{3} = \frac{13}{3} feet

Now convert to inches

\frac{13}{3} feet = \frac{13}{3} \times 12 inches = 52 inches

So this 52 inches lies between 49 and 53 inches

So Brian should purchase Choice C of fabric

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A radio transmission tower is feet tall. How long should a guy wire be if it is to be attached feet from the top and is tomake a
Bond [772]

Answer:

<em> Length of guy wire is 590.6 ft</em>

Step-by-step explanation:

The complete question is

A radio transmission tower is  210  feet tall. How long should a guy wire be if it is to be attached 8 feet from the top and is to make an angle of  20°  with the ground. Give your answer to the nearest tenth of a foot.

height of tower = 210 ft

8 ft fro the top leaves 210 - 8 = 202 ft to the ground

This is an angle of elevation problem

the opposite is 202 ft

hypotenuse = ?

angle is  20°  

using sin ∅ = opp/hyp

sin  20°  = 202/hyp

0.342 = 202/hyp

hyp = 202/0.342 = <em>590.6 ft   this is the length of the guy wire</em>

3 0
3 years ago
If the complex number x = 3 + bi and |x|^2 = 13, which is a possible value of b?
olga55 [171]

If x=3+bi, then

|x|=\sqrt{3^2+b^2}.

You know that |x|^2=13, then

\left(\sqrt{3^2+b^2}\right)^2=13,\\ \\ 9+b^2=13,\\ \\b^2=4,\\ \\b=\pm 2.

Two possible complex numbers satisfy these conditions:

x_1=3+2i, \ x_2=3-2i.

As you can see the possible value of b is 2.

Answer: correct choice is A.

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3 years ago
What is the proportional numbers of 26/13
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Step-by-step explanation:

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3 years ago
a person standing near the top of the Eiffel tower(approximately 300.6 meters) notices a car wreck some distance from the tower.
yarga [219]

Answer:

481.06

Step-by-step explanation:

Let's visualise this case in a right angled triangle.

Height = 300.6 m

Angle of depression = Angle of elevation = 32°

So,

\sin(32)  =  \frac{300.6}{hypotenuse}

=  > 0.5299192642 =  \frac{300.6}{hypotenuse}

=  > hypotenuse =  \frac{300.6} {0.5299192642 }

= 567.2562224244 m

Hypotenuse = Line of sight = 567.25 m

Also,

\cos(32)  =  \frac{base}{567.2562224244}

=  > 0.8480480962 =  \frac{base}{567.2562224244}

=  > base = 0.8480480962 \times 567.2562224244 = 481.0605594599

Hence Base = Distance between the spot of accident & the base of the tower = 481.06 m

5 0
4 years ago
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