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miskamm [114]
1 year ago
14

Triangle P R Q is shown. Angle R P Q is 39 degrees. The length of P R is 6, the length of R Q is p, and the length of P Q is 8.

Mathematics
1 answer:
KATRIN_1 [288]1 year ago
7 0

According to law of cosines the length of RQ can be written as p^{2} =6^{2} +8^{2} -2*6*8cos(39).

Given the length PR is 6 , the length of RQ is p, the length of PQ is 8 and the angle RPQ is 39 degrees.

A length of the triangle can be written as according to law of cosines if sides are given and one angle is a^{2} =b^{2} +c^{2} -2bccos(A)

We have to just put the values in the above equation.

as p^{2} =6^{2} +8^{2} -2*6*8cos(39).

p is the side opposite to angle given , the length of other sides are 6 and 8 and angle is 39 degrees.

Hence the side can be written as according to law of cosines if the angle is 39 degrees is  as p^{2} =6^{2} +8^{2} -2*6*8cos(39).

Learn more about trigonometric functions at brainly.com/question/24349828

#SPJ10

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Use the Distributive Property to solve the equation.
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x= - 9

Step-by-step explanation:

  1. - 8(x +7) = 16
  2. -8x - 56 = 16
  3. -8x = 16 + 56
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  5. x = 72 ÷ (-8)
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2 years ago
Donna has a $300 loan through the bank she is charged a simple rate The total interest she paid on the loan was $63 As a percent
Black_prince [1.1K]

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21%

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3 0
2 years ago
2.The mean area of several thousand apartments in a new development is advertised to be 1,100 square feet. A consumer advocate h
KiRa [710]

Answer:

Null Hypothesis, H_0 : \mu = 1,100 square feet

Alternate Hypothesis, H_A : \mu < 1,100 square feet

Step-by-step explanation:

We are given that the mean area of several thousand apartments in a new development is advertised to be 1,100 square feet.

A consumer advocate has received numerous complaints that the apartments are smaller than advertised.

<u><em>Let </em></u>\mu<u><em> = mean area of several apartments.</em></u>

So, Null Hypothesis, H_0 : \mu = 1,100 square feet

Alternate Hypothesis, H_A : \mu < 1,100 square feet

Here, <u>null hypothesis states that</u> the mean area of apartments are same as advertised.

On the other hand, <u>alternate hypothesis states that</u> the mean area of apartments are smaller than advertised.

So, this would be the appropriate null and the alternative hypothesis to test this claim.

4 0
3 years ago
What is Pythagoras Theorem ?
Nikitich [7]
Pythagoras Theorem is the way in which you can find the missing length of a right angled triangle.
The triangle has three sides, the hypotenuse (which is always the longest), Opposite (which doesn't touch the hypotenuse) and the adjacent (which is between the opposite and the hypotenuse).
Pythagoras is in the form of;
a<em><u /></em>²+b²=c²
However, it can also be written in the form of c²=a²+b²
In order to find the hypotenuse, you will have the length of two sides, for example, these could be 3 and 4.
As 'C' is always the hypotenuse, you have to work out the two other lengths, and you do this by squaring the numbers.
3²=9 and 4²=16.
As you're looking for C, you've got to add these together
9+16=25
As a²+b²=c², this means that the answer for C is the square root of 25.
√25= 5

Hope this has been able to help you :) 
5 0
3 years ago
Read 2 more answers
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