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eduard
3 years ago
11

WILL GIVE BRAINLIEST AND 20 POINTS!

Mathematics
1 answer:
Gnoma [55]3 years ago
7 0

Answer:

64 square yards

Step-by-step explanation:

If the room is a square, then all sides of the room should be equal. To find the area of the room, we would need to multiply 2 adjacent sides of the room, meaning 24 x 24 = 576. Since we need yards of carpet, not feet, and we know that 1 square yard is 9 square feet, we divide our total area in feet by 9. This gives us 64sq yards of carpet

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The area of a trapezium is 360 cm² and its height is 18 cm. If one of the parallel sides is longer than the other by 6 cm, then
Leokris [45]

Answer:

The two parallel sides a and b are 17 cm and 23 cm respectively

Step-by-step explanation:

Area of a trapezium = {(a+b)/2} h

Where

h = height = 18 cm

a = parallel side 1 = x

b = parallel side 2 = x + 6

Area of a trapezium = {(a+b)/2} h

360 = {(x + x + 6) / 2} 18

360 = { (2x + 6) / 2} 18

360 = (2x + 6) 9

360 = 18x + 54

Subtract 54 from both sides

360 - 54 = 18x

306 = 18x

Divide both sides by 18

x = 306 / 18

= 17

x = 17 cm

a = parallel side 1 = x

x = 17 cm

b = parallel side 2 = x + 6

x + 6

= 17 + 6

= 23 cm

8 0
3 years ago
April invested in a lifetime annuity that begins payments at age 65. Her life expectancy is 89. April invested a $1,000,000 into
Mila [183]

Answer:

Monthly payment is $5970

Step-by-step explanation:

Given : April invested in a lifetime annuity that begins payments at age 65. Her life expectancy is 89. April invested a $1,000,000 into the annuity, which earns 4.4% APR compounded monthly.

To find : what is April's monthly payment amount?

Solution :

Formula of monthly payment  

Monthly payment, M=\frac{\text{Amount}}{\text{Discount factor}}  

Discount factor D=\frac{1-(1+i)^{-n}}{i}  

Where, Amount = $1,000,000

Rate r= 4.4%=0.044 compounded monthly

i=\frac{0.044}{12}=0.004  

Time = 89-65=23 years

n=23\times12=276  

Now, put all the values we get,  

D=\frac{1-(1+i)^{-n}}{i}  

D=\frac{1-(1+0.004)^{-276}}{0.004}  

D=\frac{1-(1.004)^{-276}}{0.004}  

D=\frac{1-0.33}{0.004}  

D=\frac{0.67}{0.004}  

D=167.5  

Monthly payment, M=\frac{\text{Amount}}{\text{Discount factor}}  

M=\frac{1000000}{167.5}  

M=5970.1  

Approximately,monthly payment is $5970

4 0
4 years ago
Read 2 more answers
Peyton has 5/8 of pumpkin pie left over from thanksgiving. She eats 1/8 of the pie and her friend joy eats 1/6 of the pie. How m
neonofarm [45]

Answer:

1/3

Step-by-step explanation:

Left over pie=5/8

Payton eats=1/8 of the left over pie

Joy eats =1/6 of the left over pie

Total pie eaten by Payton and joy= 1/8+1/6

To add the fraction,

Find the lowest common multiple of 6 and 8 which is 48

Then,

divide 48 by 8 multiplied by 1 which is 6,

divide 48 by 6 multiplied by 1 which is 8

We have,

=6+8/48

=14/48

=7/24

Total pie eaten by Peyton and joy=7/24

Total pie left(after Peyton and joy share)= Total left over- total pie eaten by Peyton and joy

=5/8-7/24

=15-7/24

=8/24

=1/3

8 0
3 years ago
Find the value of X. geometry!! only answer if you know how please !
NeTakaya

Answer:

x = 136

Step-by-step explanation:

This one is quite simple

The shape formed inside of the circle is a quadrilateral.

when a quadrilateral is formed inside of a circle opposite angles of the quadrilateral will add up to 180

we are given x's opposite angle so we can find x by subtracting the given angle's measure (44) from 180

so x = 180 - 44

180 - 44 = 136

hence, x = 136

7 0
3 years ago
Point A has an x-coordinate of 7 and lies below the x-axis on a circle with a center at (0, 0) and a radius of 8.
Vika [28.1K]
-3.7is the correct answer
5 0
3 years ago
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