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Naddik [55]
3 years ago
14

The sine of 38 degrees is equal to 0.616, rounded to the nearest thousandth. What is the measure of an angle whose cosine is als

o equal to 0.616?
Mathematics
1 answer:
Svet_ta [14]3 years ago
7 0
Basically, the question is asking "What is the arc cosine of .616"?

and it is 51.975 Degrees


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The following equation defines f(x)=-3x-5 . If (-5,n) is an ordered pair of the function rule, what is the value of n?
ElenaW [278]

Given:

The function is

f(x)=-3x-5

(-5,n) is an ordered pair of the function rule.

To find:

The value of n.

Solution:

If (-5,n) is an ordered pair of the function rule, then the function must be satisfied by the point (-5,n). It means f(-5)=n.

Substitute x=-5 in the given function.

f(-5)=-3(-5)-5

f(-5)=15-5

f(-5)=10

We know that, f(-5)=n. So,

n=10

Therefore, the value of n is 10.

4 0
3 years ago
A tower made of wooden blocks measures​ 114 feet high. Then a block is added that increases the height of the tower by 8 inches.
satela [25.4K]

Answer:

4. 23 in

Step-by-step explanation:

The tower is 1 1/4 feet high, then 8 inches are added. Well, we can't just add those two numbers. We have to change the units! Change everything to inches.

1 1/4 feet is equal to 12 inches + 3 inches = 15 inches, because a foot = 12 inches.

Add 8 inches to 15, and you get 23 inches.

<u>The answer is 4. 23 in. </u>

4 0
4 years ago
1/ 99 to 4 significant figures​
musickatia [10]

Answer:

  0.01010

Step-by-step explanation:

The decimal equivalent is ...

  \dfrac{1}{99}=0.\overline{01}

Rounded to 4 significant figures, it is ...

  0.01010

4 0
2 years ago
The ratio table below shows the relationship between the number of packages of gum and the total pieces of gum.
tangare [24]

The complete question is

"The ratio table below shows the relationship between the number of packages of gum and the total pieces of gum.

Gum Packages of gum Pieces of gum

1

15

2

30

3

45

4

?

How many pieces of gum are in 4 packages of gum?"

Using a proportional function, there are 60 pieces of gum in 4 packages.

<h3>What is a proportional relationship?</h3>

Two values x  and  y are said to be in a proportional relationship if x=ky, where x and y are variables and k is a constant.

The constant k is called constant of proportionality.

The constant is given by:

k = 15/1

k = 30/2

k  = 45/3

k  = 15.

Therefore, the number of pieces of gums in x packages is given by:

y = 15x.

In 4 packages:

y = 15 x 4

y = 60 pieces of gum.

Using a proportional function, there are 60 pieces of gum in 4 packages.

More can be learned about proportional functions at brainly.com/question/10424180

#SPJ1

4 0
2 years ago
Assume that lines that appear to be tangent are tangent. O is the center of the circle. Find the value of x.
MariettaO [177]
Draw an imaginary line from the vertex of angle x to the center of the circle.
This divides the 4-sided polygon into two right triangles.  For example, the upper right triangle has an acute angle whose measure is 135 degrees / 2, or 67.5 degrees, and the another acute angle whose measure is x/2.

x/2 and 67.5 degrees are complementary angles, so x/2 + 67.5 deg = 90 deg.  Thus, x/2 = 22.5 deg, and so x = 45 deg.  (answer)
8 0
3 years ago
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