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ipn [44]
2 years ago
11

B is the midpoint of segment AC; AB = 8v, and AC = 2v + 42. What is BC?

Mathematics
2 answers:
Alona [7]2 years ago
7 0
2 * AB = AC  
2 * 8v = 2v + 42
16v - 2v = 42
14v = 42
v = 42/14
v = 3

BC = AB = 8v = 8*3 = 24
KonstantinChe [14]2 years ago
7 0
I believe it's 24 after solving.
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Answer:

480

Step-by-step explanation:

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Select the correct description for the expression x+3/5
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Answer:

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7) David bought a computer that was 20% off the regular price of $1080. If an 8% sales tax was added to the cost of the computer
Aneli [31]
Hello there! I can help you!

7. Okay. So the computer was originally $1,080, and the discount is 20%, but David would still have to pay 80% of the original price. To find the sale price, let's multiply. 1,080 * 80% (0.8) is 864. The sale price of the compuet is $864, but now we must add the sales tax to find the total price. We will multiply by 108%, because 100% (representing the price + 8% is 108%, and doing this will get us stright to the total price. 864 * 108% (1.08) is 933.12. There. David paid a total price of $933.12 for the computer.

8. Okay. So we are looking for the amount of discount for the sweater Suzanne bought. First off, let's subtract the prices to find the difference. 40 - 25 is 15. Now, let's divide that by 40 (the original price) to find the discount. 15/40 is 0.375. Or 37.5% when converted into a percentage. There. Suzanne received a 37.5% discount on the sweater when she bought it.

9. So the car was bought for x dollars. 0.88 represents 88%, so the value of the car is 88% of the previous year. An expression that is a way to describe the change in car value is x * (100 - 0.12)^t, because you car loses 12% of the remaining value each year, which leaves 88% of it remaining, and having the t as the exponent represents the number of years. That expression helps find the value of the car currently and can help you compare the values.
6 0
2 years ago
Geometry<br> Solve for x. Round to the nearest tenth of a degree, if necessary.
zvonat [6]

Answer:

  13. x = 52.8°

  14. 663.65 ft

  15. 30.7 ft

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relations between sides of a right triangle and trig functions of the acute angles.

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<h3>13.</h3>

The sides adjacent and opposite the angle are marked. The relevant trig relation is ...

  Tan = Opposite/Adjacent

  tan(x°) = 2.5/1.9

The angle is found using the inverse tangent function:

  x° = arctan(2.5/1.9) ≈ 52.8°

__

<h3>14.</h3>

Again, the tangent relation comes into play. The given values are the side opposite and the angle, and we are asked for the side adjacent.

  Tan = Opposite/Adjacent

  tan(11°) = (129 ft)/(distance to shore)

  distance to shore = (129 ft)/tan(11°)

  distance to shore ≈ 663.65 ft

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<h3>15.</h3>

In this scenario, the given angle is opposite the given side of the triangle. The measure of the hypotenuse is needed.

  Sin = Opposite/Hypotenuse

  sin(71°) = (29 ft)/(ladder length) . . . . substitute given information

  ladder length = (29 ft)/sin(71°) . . . . . . solve for ladder length

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3 0
2 years ago
PLS HELP!!!<br> simplify 3^2 x 3^4 x 3^6= <br> 3^10<br> 3^12<br> 3^0<br> 3^40
EastWind [94]

Answer:

3¹² is answer

Step-by-step explanation:

3^(2+4+6)

3^12

4 0
2 years ago
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