Answer:
45/8 cubic cm
Step-by-step explanation:
The volume of a prism can be determined using the formula below.
Volume = length × width × height
Since each cube measures of a centimeter on one side, then the dimensions of the prism are shown below.
Length = 5 x 1/2 cm
Width = 3 x 1/2 cm
Height = 3 x 1/2 cm
Answer:
Step-by-step explanation:
The formula for determining simple interest is expressed as
I = PRT/100
Where
I represents interest paid on the loan.
P represents the principal or amount taken as loan
R represents interest rate
T represents the duration of the loan in years.
1) From the information given,
P = cost of gym = $2200
R = 6%
T = 3 years
I = (2200 × 6 × 3)/100 = $395
The total amount that he would pay after 3 years is
2200 + 395 = $2596
If he decides to continue going to the gym, the total amount that the would pay in 3 years(3 × 12 = 36 is
80 × 36 = 2880
Therefore, paying for the gym would cost more. He should take the loan.
2) if she takes the loan, the interest would be
I = (18000 × 7.5 × 5)/100 = $6750
The total amount that she would pay back after 5 years is
6750 + 18000 = $24750
Since the value that would be added to her house is $25000, therefore, she should buy it.
Call the short side x. We have
tan 72° = opposite/adjacent = (12.8 cm) / x
x = 12.8 / tan 72° = 12.8/(3.01) = 4.158...
Answer: 4.2 cm
Answer:
The area of the smaller triangle is 75.
Step-by-step explanation:
Here, the ratio of the sides of the similar triangle are 5 : 6
The area if the larger triangle = 108
let us assume that the area of the smaller triangle = m
By the Theorem:
In two similar triangles, the ratio of the areas of similar triangles is the square of the ratio of their sides.
Similarly, here
 ^2](https://tex.z-dn.net/?f=%5Btex%5D%28%5Cfrac%7B5%7D%7B6%7D%29%20%5E2)
= \frac{m}{108}[/tex]
⇒
or, 
⇒ m = 75
Hence, the area of the smaller triangle is 75.
