1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
frutty [35]
3 years ago
11

Find the measure of angle h

Mathematics
1 answer:
AnnZ [28]3 years ago
7 0

Answer:

62 degrees

Step-by-step explanation:

Since we know 3 sides of the triangle, we can use law of cosines.

{gk}^{2}  =  {gh}^{2}  +  {kh}^{2}  - 2(gh)(kh) \times  \cos(h)

{8}^{2}  =  {17}^{2}  +  {15}^{2}  - 2(17(15) \times  \cos(h)

64 = 289  + 225 - 510 \times  \cos(h)

64 = 314 - 510 \times  \cos(h)

- 250 =  - 510 \times  \cos(h)

\frac{250}{510}  =  \cos(h)

\frac{25}{53}  =  \cos(h)

Take the arcos or cosine inverse

\cos {}^{ - 1}  =  \frac{25}{53}

Which is about 62 degrees.

You might be interested in
An architect plans to draw a rectangular patio with segment LM representing one side of the rectangle. He wants to construct a l
crimeas [40]
The best and most correct answer among the choices provided by the question is the third choice .

In constructing a parallel line, "<span>Without changing the width of the compass, place the compass at S or P and draw an arc similar to the one drawn."</span>

I hope my answer has come to your help. God bless and have a nice day ahead!
4 0
3 years ago
Read 2 more answers
In a certain board game a 12 sided number cube showing numbers 1-12 is rolled. If 3 such number cubes are rolled, what is the pr
kondor19780726 [428]

Answer:

0.2297453

Step-by-step explanation:

Given that :

Total faces of = 12 labeled 1 - 12

Probability of showing a 2 ;

P = required outcome / Total possible outcomes

P(showing a 2) = 1 /12

Hence, probability of not showing a 2 ;

P(showing a 2)' = 1 - 1/2 = 11/12

Probability that atleast one of 3 cubes shows a 2 :

1 - P(none of the cubes shows a 2)

P(none of the cubes shows a 2) =

(11/12 * 11/12 * 11/12) = 0.7702546

1 - 0.7702546 = 0.2297453

8 0
3 years ago
Isaac has a piece of rope that 5 yards long. Into how many 1/2 - yard pieces of rope isaac can cut?
Trava [24]

Answer:

10

Step-by-step explanation:

So there are 5 pieces of rope, if you cut them all in half then that would double the number.

7 0
3 years ago
Read 2 more answers
What is 1/4 of 76 in a mathequ on
Softa [21]
The answer is 19. You have to do 1/4 x 76/1 which is basically 76 divided by 4, which gives you 19.
4 0
3 years ago
the numbers of girls in the choir is 4 times the number of boys in the choir .the total number of students is 60..how many girls
Inessa05 [86]
First, make up some variables to represent the number of Girls and Boys in the choir.  

B = number of boys
G = number of girls

You know that there are 4 times as many girls in the choir as boys.  Therefore, the equation you can write is:
\frac{B}{G} =  \frac{1}{4}

If you cross-multiply, then you get the simplified equation:
G = 4B

Intuitively this makes sense since if you multiplied the number of boys in the class by 4, that would be equal to the number of girls you have.

Now, we know that the total class size is 60. So girls plus boys equals 60:
G+B = 60

To solve the equation, replace the G in this equation with the replacement you found before, 4B.
G + B = 60 -->
4B + B = 60 -->
5B = 60 -->
B = 12

However, you are trying to find the number of girls, so plug the answer back into your equation.
G + B = 60 -->
G + 12 = 60 -->
G + 12 -12 = 60 - 12 -->
G = 48

The number of girls you have is 48.

6 0
3 years ago
Other questions:
  • In triangle XYZ, m∠Z &gt; m∠X + m∠Y. Which must be true about △XYZ? m∠X + m∠Z &lt; 90° m∠Y &gt; 90° ∠X and∠Y are complementary m
    11·2 answers
  • After every ninth visit to a restaurant you receive a free beverage. After every twelfth visit you receive a free appetizer. If
    11·1 answer
  • on monday there was no snow on the ground in Buffalo, New York. On Tuesday, three inches of snow fell. On wensday, a half an inc
    15·1 answer
  • Marjorie has 28 feet of trim to use as edging on the rectangular blanket she wants to make what is the length and width of two b
    9·1 answer
  • You purchase a robot ($7.68) you hand the cashier a ten dollor bill. What will your change be?​
    10·1 answer
  • Please help me will mark brainliest
    12·1 answer
  • What is the domain and range of this graph
    9·1 answer
  • What is (0.25) x (1.4)
    12·2 answers
  • Here's a question from Ch-7 , Ex-14.3
    15·2 answers
  • How is an increase of 25% related to the diagram? explain please! :)
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!