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3 years ago

Find the reference angle for the given angle: 780 degrees

1 answer:

andrey2020 [161]3 years ago

3 0

The reference angle of an angle is obtained by subtracting the angle with 360n where n is an integer until the resulting angle is below 360. In this case, 780 - 360 is equal to 420. this is still more than 360, hence 420 - 360 is equal to 60. the answer thus is 60 degrees.

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Which formula can be used to find the nth term of a geometric sequence where the fifth term is 1/16 and the common ratio is 1/4?

ale4655 [162]

Any geometric sequence can be expressed as:

a(n)=ar^(n-1), a=initial term, r=common ratio, n=term number

We are given that a(5)=1/16 and r=1/4 so we can say:

1/16=a(1/4)^(5-1)

1/16=a(1/4)^4

1/16=a/256

256/16=a

16=a

So the initial term is 16 so our formula is:

a(n)=16(1/4)^(n-1)

3 0

3 years ago

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Nghiep gave his mother half of his weekly earnings and then spent half of what was left on a new shirt. He then had $34. What we

rusak2 [61]

Answer:

Hence the weekly earnings of Nghiep= $136

Step-by-step explanation:

Let the weekly income of Nghiep be $ x.

As it is given that:

Nghiep gave his mother half of his weekly earnings i.e. the amount he gave to his mother= $ (x/2).

So now we will be left with= $(x/2).

Next he then spent half of what was left on a new shirt.

so the amount he spent on his shirt= $ (x/4)

Now he will be left with = $ (x/4).

Now it is given that the amount he had after spending on his shirt and giving to his mother= $ 34

i.e. $\dfrac{x}{4}=34\\\\x=34\times 4\\\\x=136$

Hence, the weekly earnings of Nghiep= $136.

8 0

3 years ago

*<br> 3. Solve for x<br> Please need help ASAP

Annette [7]

The answer is 22, good luck on you work

7 0

4 years ago

The Hudson high school wrestling team just won the state tournament and have been awarded a triangular pennant to hang on the wa

Eduardwww [97]

Answer:

3 feet.

Step-by-step explanation:

Base of the triangular pennant = 1.5 feet long.
Area of the triangular pennant = 2.25 Square feet.

Now, we know that:

Area of a Triangle $=\frac{1}{2}$ X Base X Height$

Substituting the given values, we have:

$2.25=\dfrac{1}{2}$ X 1.5 X Height\\\\2.25=$\dfrac{1.5}{2}$ X Height\\\\Cross multiply\\\\2.25*2=1.5 X Height\\\\Divide both sides by 1.5 to solve for the height\\\\\dfrac{2.25*2}{1.5}=\dfrac{1.5 X Height}{1.5}\\\\$Height of the Triangle =3 feet$

Therefore, the height of the pennant is 3 feet.

5 0

3 years ago

What is the slope of a line that passes through the origin<br> and the point (6, 14)?

Mrrafil [7]

Answer:

14/6 or 2 1/3

Step-by-step explanation:

m=y2-y1/x2-x1

14-0=14

6-0=6

14/6 or 2 1/3

hope this helps :3

if it did pls mark brainliest

sorry if it is wrong

7 0

3 years ago

Read 2 more answers