Answer:
The height of the prism is 5 inches
Step-by-step explanation:
The rule of the lateral area of the rectangular prism is
L.A = 2(L + W) × H, where
- L is the length of the base of the prism
- W is the width of the base of the prism
- H is the height of the prism
∵ A rectangular prism has a length of 9 inches and a width of 8 inches
∴ L = 9 inches
∴ W = 8 inches
∵ The lateral area of it is 170 square inches
∴ L.A = 170 square inches
→ Substitute them in the rule above to find the height of the prism
∵ 170 = 2(9 + 8) × H
∴ 170 = 2(17) × 5
∴ 170 = 34 × H
→ Divide both sides by 34 to find H
∴ 5 = H
∴ The height of the prism is 5 inches.
Answer:
The first first in solving for x is do the distributive property to the left and right of the eqaution. Distribute 2 with 6x and 6. Distribute 3 with x and -4.
Step-by-step explanation:
PEMDAS states that you do things in the parenthesis first.
Sum of all angles in any triangle is 180 degrees so,
X=180-66-90=24 degrees
Answer:
¼ box
Step-by-step explanation:
Ezra sold ⅓ box of tangerines.
Anthony sold ¾ as many as Ezra = ¾ × ⅓ box
Cancel the 3s = ¼ × ¹/₁ box
Multiply numerators and denominators = ¼ box
Anthony sold ¼ box of tangerines.
Answer:
Interest rate is 9.59%
Step-by-step explanation:
The interest rate the investment must earn in order that the death benefit could of $81,000 in 24 years' time can be derived from the rate formula in excel spreadsheet.
=rate(nper,pmt,-pv,fv)
nper is the number of years the $9,000 would be invested for i.e 24 years
pmt is the periodic additional investment which is zero
pv is the amount invested today i.e $9000
fv is the amount of death benefit payable in 24 years' time that is $81000
=rate(24,0,-9000,81000)=9.59%