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katen-ka-za [31]
3 years ago
7

Which is the measure of AB A. 10ft B. 15ft C. 20ft D. 100ft

Mathematics
1 answer:
Sladkaya [172]3 years ago
5 0

Answer:

C

Step-by-step explanation:

Since ΔABC is right use the sine ratio to find AB

sin30° = \frac{opposite}{hypotenuse} = \frac{AC}{AB}, hence

sin30° = \frac{10}{AB} ( cross- multiply )

AB × sin30° = 10 ( divide both sides by sin30° )

AB = \frac{10}{sin30} = 20 ft → C


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A new phone costs $230 and the sales tax rate is 7%. What is the total cost of the camera after tax?
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That's a question about percentage.

One way to represent percentage is using decimal number. In this way, 1 is equivalent to 100% and the other less percentages using numbers between 0 and 1.

Examples:

  • 90% is equivalent to 0,90.
  • 5% is equivalent to 0.05. It's not 0.5 because 0.5 is equivalent to 50%.
  • 13.17% is equivalent to 0.1317.
  • 245% is equivalent to 2.45.

If we want to know the percentage of a number, we should multiplacate the number by the porcentage in the decimal number form.

Examples:

  • 55.90% of 200 is equal to: 200 \times 0.5590 = 111.8
  • 360% of 88 is equal to: 88\times 3.6 = 316.8

In our problem, we have a phone with a increase of 7%. To solve that, it's important to perceive that $230 is equal to 100% and with a increase of 7%, we will pay 107%.

107% in the decimal number form is 1.07. With that information, we should multiplicate 1.07 by the original value and we will find the answer.

We know that 230\times 1.07 = 246.1, therefore, the total cost of the phone after tax is $246.1.

I hope I've helped. :D

Enjoy your studies. \o/

4 0
3 years ago
I will give branliest to the person who answers this right: 30 - 12÷3×2 =
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Answer:

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Step-by-step explanation:

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Mary had a back surgery and was given a prescription with instructions to take 4 tablets twice a day for pain. How many tablets
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Answer:

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Step-by-step explanation:

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If b (middle term) is negative and c (last term is positive) then what do you know about the two factors? ex. 2x^2-7x+6
seraphim [82]

Answer:

  signs of the constants in the binomial factors are negative

Step-by-step explanation:

Assuming the first term (a) is positive, the fact that c is negative means the constants in the binomial factors have the same sign. The negative b means that sign is negative.

  2x^2 -7x +6 = (x -2)(2x -3)

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<em>Further comment</em>

c is the product of the constants in the binomial factors so will be positive when both those constants have the same sign.

b is the sum of the constants in the binomial factors. If both factors have the same sign (c > 0), then those constants have the same sign as b.

In this analysis, "a" is assumed to be positive. If it is not, then the same analysis can be done after reversing all of the signs.

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