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3 years ago

In AABC, what is AB to the nearest tenth?

Mathematics

1 answer:

JulsSmile [24]3 years ago

5 0

Answer:

AB = 9.5 units

Step-by-step explanation:

Here, we want to find the measure of AB

To do this, we are going to make use of the sine rule

for the sine rule, the ratio of the measure of a side and the sine of the angle that faces the side is a constant value for a triangle

Thus, we have it that; in a triangle ABC

a/sin A = b/sin B = c/sin C

using the triangle given;

we need the measure of the angle at C

The sum of angles in a triangle is 180

thus;

C + 93 + 48 = 180

C = 180 - 93 -48

C = 39 degrees

Now, to get the value of AB;

AB/sin 39 = 15/sin 93

AB = (15 * sin 39)/sin 93

AB = 9.5 units

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Answer:

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Step-by-step explanation:

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3 years ago

if a rug was 5 times as long as thia record sheet, how long would it be? measure the length of this record sheet in centimeters.

vlada-n [284]

Answer:

If a rug was 5 times as long as this record sheet. The length of this record sheet in centimeters is 100x centimeter

Solution:

Given that a rug was 5 times than the record sheet.

Let assume the length of the record sheet = x units

Then from given information,

Length of the rug = 5x units

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Suppose the given length is in meters, than need to multiply the given length by 100 to get the length in centimeter that is

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3 years ago

If f is a continuous function such that the integral from 1 to 4 of f of x, dx equals 10, evaluate the integral from 2 to 8 of 2

IgorLugansk [536]

Answer: 10

Step-by-step explanation:

Since integral from 1 to 4 of f(x) =10

To evaluate integral from 2 to 8 of 2 times f(2x), using substitution method

Let U = 2x, dU = 2dx, dx = dU/2

Evaluate the limit, upper limit gives dU = 2*4 = 8, lower limit gives dU = 2*1 = 2.

Since this limit are the same as the limit for the question,

Therefore, F(4) - F(1) = F(8) - F(2) = 10

Substituting dx=dU/2

Gives,

Integral from 2 to 8 of 2 times f(2x)= (1/2)(2)(F(8)-F(2)) = 10

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3 years ago