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
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, 
Discount factor 
Where, Amount = $1,000,000
Rate r= 4.4%=0.044 compounded monthly
Time = 89-65=23 years
Now, put all the values we get,
Monthly payment,
Approximately,monthly payment is $5970
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
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
