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oksano4ka [1.4K]
2 years ago
6

A 50-ft cable is stretched from the top of an antenna to an anchor point on the ground 15ft. from the base of the antenna . How

tall is the antenna?
Mathematics
2 answers:
Effectus [21]2 years ago
8 0

50 ft. -15 ft. = 35 ft.  tall for the antenna Sounds like a trick question don't count the anchor point
Mariana [72]2 years ago
8 0
I do not believe the previous answer is correct. This is an a^2+b^2=c^2 problem. The 50 foot cable is the hypotnuse (c) and 15 foot gap is one of the sides (a). So take 15 and square it. Then square 50. You then should have 15^2+b^2=50^2. Subtract 15^2 to the right side, then square root the answer to get b, the height of the antenna.
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You discover that you are over serving a dish because customers keep taking a third of it home. If the dish requires 4 ingredien
devlian [24]

Answer:

4 parts

Step-by-step explanation:

If the total number of parts is 12 and you want to reduce the dish to two-thirds its current size, the number of parts that will be reduced is (1 - 2/3) = 1/3

To reduce 1/3 of the 12 parts, you need to multiply 12 by 1/3 to know how many parts is that:

12 * 1/3 = 12/3 = 4

You need to subtract 4 parts. If you have 4 ingredients, you can remove 1 part of each, so each ingredient now will have 2 parts.

5 0
3 years ago
What are the steps to solve for: 1/5(x+5)=1/4(x-3)+1
andrew11 [14]
Step 1. Simplify \frac{1}{5} (x+5) to \frac{x+5}{5}

\frac{x+5}{5} = \frac{1}{4} (x-3)+1

Step 2. Simplify \frac{x+5}{5} to 1+ \frac{x}{5}

1+ \frac{x}{5} = \frac{1}{4} (x-3)+1

Step 3. Simplify \frac{1}{4} (x-3) to \frac{x-3}{4}

1+ \frac{x}{5} = \frac{x-3}{4} +1

Step 4. Cancel 1 on both sides

\frac{x}{5} = \frac{x-3}{4}

Step 5. Multiply both sides by 20 (the LCM of 5,4)

4x=5(x-3)

Step 6. Expand

4x=5x-15

Step 7. Subtract 5x from both sides

4x-5x=-15

Step 8. Simplify 4x-5x to -x

-x=-15

Step 9. Multiply both sides by -1

x=15

Done! :) Hope this helps! :)








3 0
3 years ago
Can someone plzz help me you got to zoom in !!!
daser333 [38]

1. 140 - The reason it would be one 40 is honestly a really simple explanation. Is the ratio of boys to girls in 7-2 and the amount of girls is 40. That means that per 1 number, is 20 people since 40 divided by 2 is 20. So if I do 2 x 7 that would be 140.

2. I didnt really understand this one sorryyy.

3. 1200 (same rule applies) - Since The ratio is 1:11 and the 1 represents 100 beans. If I doo 100 x 11 that would be 1100, then I would add the 1100 to the 100 (from the 1) and that would be 1200.

4. 6:7 - If I do 650 - 350 that would be 300. Which means the ratio would be 300:350. But once simplified the answer would be 6:7.

5. 1:2 - 720 - 240 is 480. Therefore the ratio would be 240:480. Once simplified, the ratio is 1:2.

Hope this helped. Good luck!!! xo

3 0
3 years ago
Read 2 more answers
Circle A has a diameter of approximately 20 inches and an area of approximately 300 in2.
Katena32 [7]

Answer:

4. About 2,700 in2

Step-by-step explanation:

The area of a circle (A), measured in square inches, is directly proportional to the square of its diameter (d), measured in inches. That is:

A \propto d^{2}

A = k\cdot d^{2}

Where k is the constant of proportionality, dimensionless.

In consequence, the following relationship between circles A and B is obtained:

\frac{A_{B}}{A_{A}} = \frac{d_{B}^{2}}{d_{A}^{2}}

The area of the circle B is now cleared:

A_{B} =\left(\frac{d_{B}}{d_{A}} \right)^{2}\cdot A_{A}

Given that d_{A} = 20\,in, d_{B} = 60\,in and A_{A} = 300\,in^{2}, then:

A_{B} = \left(\frac{60\,in}{20\,in} \right)^{2}\cdot (300\,in^{2})

A_{B} = 2700\,in^{2}

Therefore, the correct answer is 4.

7 0
3 years ago
Adelaide paid $35 for a manicure and gave the manicurist a 20% tip.
Inessa05 [86]
She paid $42 dollars in total.
3 0
2 years ago
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