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Sever21 [200]
3 years ago
15

A rectangle has a width of 46 centimeters and a perimeter of 204 centimeters. What is the rectangle’s length?

Mathematics
1 answer:
Vanyuwa [196]3 years ago
7 0

Answer:

Length = 56

Step-by-step explanation:

Perimeter = Length + Length + Width + Width

Perimeter = 2L + 2W

2L + 2W = 204

2L + 2(46) = 204

2L + 92 = 204

Subtract 92 from both sides

2L = 112

Divide both sides by 2

L = 56

Length = 56

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Which of the following correctly factors the expression −20x+4y−2?
Wewaii [24]

9514 1404 393

Answer:

  B  2(−10x+2y−1)

Step-by-step explanation:

The greatest common factor is 2. Factoring that out gives the factorization shown in choice B.

  2(-10x +2y -1)

__

You could factor out -2. Doing that would give ...

  -2(10x -2y +1) . . . . . . . doesn't match choice C

8 0
2 years ago
An angle measures 8.2° more than the measure of its complementary angle. What is the
nikitadnepr [17]

9514 1404 393

Answer:

  49.1°, 40.9°

Step-by-step explanation:

Let x represent the smaller angle. Then the larger is x+8.2 and the total of the two angles is ...

  x + (x +8.2) = 90

  2x +8.2 = 90 . . . . . collect terms

  x + 4.1 = 45 . . . . . . .divide by 2

  x = 40.9

  x +8.2 = 49.1

The two angles are 49.1° and 40.9°.

3 0
2 years ago
The cost of attendance at State College is $19,500 for the first year. Devise a periodic savings plan that will allow you to mak
ValentinkaMS [17]
We are told to use simple interest rate. Formula for this is:
A=P*(1+r*t)

Where:
A= total accumulated amount (principal + interest)
P= principal
r= yearly percentage rate
t= number of years

We need to save $19500 for the first year at a college. This is the amount we will have at the account after five years. In our case this is A.
Principal is the amount we need to put into savings to get the total amount needed. In our case this is P.
Yearly percentage rate is the percentage by which our savings increase at the end of a year. In our case this is r.
t is number of years that we are holding our money on the bank account.

To solve this problem we will assume that we are putting same amount each month on the bank account.

We are given:
A=$19500
P=?
r=1.5%
t=5 years

First step is to transform r into decimal number:
r= \frac{1.5}{100} =0.015

Now we get back to our formula and we solve it for P:
A=P*(1+r*t) \\ P= \frac{A}{1+r*t}
We insert numbers and we get our principal:
P= \frac{19500}{1+0.015*5}  \\ P=18139.53

We need to put $18139.53 into savings to get required amount after 5 years or 5*12=60months. Assuming that we put same amount each month into savings we need to put
18139.53 / 60 = 302.33

This is our solution for this problem. This is closest to the amount we would need to put in real life. In real life we would earn interest onto interest and our monthly amount would be smaller.
3 0
3 years ago
The local Tupperware dealers earned the following commissions last month. What was the mean commission​ earned? Round your answe
kirza4 [7]

Answer:

B. ​$ 3094.01

Step-by-step explanation:

Given observations are,

$2894.21, ​ $1777.15, ​ $2144.77, ​ $4096.37, ​ $4046.29, ​$1786.37, ​ $3296.69, ​ $4086.27, ​ $2784.22

Number of observations = 10,

Sum of the observations = 2894.21​+1777.15​+2144.77​+4096.37​+4046.29​+1786.37​+3296.69​+4086.27​+2784.22​+4027.79 = 30940.13,

Hence,

Mean = \frac{\text{Sum of observations}}{\text{Number of observation}}

=\frac{30940.13}{10}

=3094.013

\approx 3094.01

Option 'B' is correct.

5 0
3 years ago
What is the approximate circumference of a circle with a radius of km? Use A. km B. km C. km D. km
IceJOKER [234]
The area of a circle is pi * radius^2, so it would be km^2 pi.

πkm²
3 0
3 years ago
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