Answer: The volume of a sphere with a radius of 5 cm is approximately 523.33 cm3.
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Volume of a sphere (V) = 4/3 π radius³
Replacing with the values given and solving for V (volume)
V = 4/3 (3.14) 5³ = 4/3 (3.14) 125= 523.33 cubic centimeters
The volume of a sphere with a radius of 5 cm is approximately 523.33 cm3.
Feel free to ask for more if needed or if you did not understand something.
Answer:
B. The ratio of the area of the scale drawing to the area of the painting is 1:16
C. The ratio of the perimeter of the scale drawing to the perimeter of the painting is 1:4
Step-by-step explanation:
The ratio of the area of similar figures/shapes = the square of the ratio of any of their side lengths
Since the scale drawing of the rectangular painting and the actual rectangular painting are similar, therefore,
The ratio of the area of the scale drawing to the painting = 1²:4²
= 1:16
Also, comparing the ratio of the perimeter of the scale drawing to the perimeter of the painting will be the same as the scale factor = 1:4
Answer: he invested $46062.5 at 6% and $23031.25 at 10%
Step-by-step explanation:
Let x represent the amount which he invested in the account paying 6% interest.
Let y represent the amount which he invested in the account paying 10% interest.
He puts twice as much in the lower-yielding account because it is less risky.. This means that
x = 2y
The formula for determining simple interest is expressed as
I = PRT/100
Considering the account paying 6% interest,
P = $x
T = 1 year
R = 6℅
I = (x × 6 × 1)/100 = 0.06x
Considering the account paying 10% interest,
P = $y
T = 1 year
R = 10℅
I = (y × 10 × 1)/100 = 0.1y
His annual interest is $7370dollars. it means that
0.06x + 0.2y = 7370 - - - - - - - - - -1
Substituting x = 2y into equation 1, it becomes
0.06 × 2y + 0.2y = 7370
0.12y + 0.2y = 7370
0.32y = 7370
y = 7370/0.32
y = $23031.25
x = 2 × 23031.25
x = 46062.5
