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nlexa [21]
3 years ago
12

One angle measures 27° more than 2 times another. If the two angles are complementary, find the measures of the angles.

Mathematics
1 answer:
zepelin [54]3 years ago
8 0

Answer:

<em>A. 21°, 69°</em>

Step-by-step explanation:

If you work by process of elimination all you have to do is take 27 away from the bigger degree of the two and see if it is 2x as much as the smaller degree.

Ex.

1. 69°-27°= 42°, which is 2x as many as 21°.

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jessy took out a loan of $16,500 over 5 years at 4.2% interest to purchase a new car. how much will she pay in interest on the l
lbvjy [14]

Answer:

B

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4.2%/100 = 0.042 per year,

then, solving our equation

I = 16500 × 0.042 × 5 = 3465

I = $ 3,465.00

The simple interest accumulated

on a principal of $ 16,500.00

at a rate of 4.2% per year

for 5 years is $ 3,465.00.

6 0
3 years ago
Rita and Tina each make $11 an hour working as cashiers at a supermarket. Last week, Rita worked rhours while Tina worked thours
ivann1987 [24]

Answer:

Step-by-step explanation:

The amount that Rita and Tina each make per hour working as cashiers at a supermarket is $11.

Last week, Rita worked r hours. It means that the amount that Rita made last week, working for r regular hours is 11r. Rita also worked overtime hours during the week, for which she was paid an extra $32 flat wage. It means that the total amount earned by Rita last week was

11r + 32

Last week, Tina worked for t hours. It means that the amount earned by Tina last week was 11t

The expression representing the total weekly wages of both Rita and Tina is

11r + 32 + 11t

3 0
3 years ago
a soup can that is a cylinder has a radius of 2x-1 and a height of 3x. what is the surface area of the soup can? show your work
valentinak56 [21]
The Surface Area is 62.83185 m²
5 0
3 years ago
An arithmetic sequence has t1=5 and t2=8 find tn and sn
RoseWind [281]

Answer:

a_n=2+3n

\displaystyle S_n=\frac{7n+3n^2}{2}

Step-by-step explanation:

<u>Arithmetic Sequences </u>

The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.

The equation to calculate the nth term of an arithmetic sequence is:

a_n=a_1+(n-1)r

Where

an = nth term

a1 = first term

r   = common difference

n  = number of the term

The sum of the n terms of an arithmetic sequence is given by:

\displaystyle S_n=\frac{a_1+a_n}{2}\cdot n

We are given the first two terms of the sequence:

a1=5, a2=8. The common difference is:

r = 8 - 5 = 3

Thus the general term of the sequence is:

a_n=5+(n-1)3=5+3n-3=2+3n

\boxed{a_n=2+3n}

The formula for the sum is:

\displaystyle S_n=\frac{5+2+3n}{2}\cdot n

\displaystyle S_n=\frac{7+3n}{2}\cdot n

Operating:

\boxed{\displaystyle S_n=\frac{7n+3n^2}{2}}

4 0
2 years ago
The sum of 2 times a number and 3 equals 4
skad [1K]

2(n+3)= 4

n= -1

-1+3=2 then 2x2=4. Sum is an answer to an addition problem so a number and 3 times 2 = 4. Hope this helps and have a great day!

3 0
3 years ago
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