Answer:
Volume of the hemisphere = 
Step-by-step explanation:
It's a picture of a globe and a globe of the Earth is in the shape of a sphere.
We know equator divides the earth into two equal halves and these equal halves are called as "hemisphere".
Therefore, a line joining the two extreme points of the diameter of the Earth divides the Earth into two hemispheres.
If the radius of the Earth is 'r',
Volume of the hemisphere = 
Answer:
188
Step-by-step explanation:
<u>Step 1: Distribute</u>
62 − 7(8 + 6 − 32)
62 + (-7 * 8) + (-7 * 6) + (-7 * -32)
62 + (-56) + (-42) + (224)
<u>Step 2: Combine the first two numbers</u>
(62 - 56) - 42 + 224
6 - 42 + 224
<u>Step 3: Combine the next two number</u>
(6 - 42) + 224
-36 + 224
<u>Step 4: Combine the last two number</u>
-36 + 224
188
Answer: 188
Answer:
the new price of the t-shirt is $24.84
Step-by-step explanation:
The computation of the new price of the t-shirt is shown below
= Price of the t-shirt × (1 + increased percentage)
= $23 × (1 + 0.08)
= $23 × 1.08
= $24.84
Hence, the new price of the t-shirt is $24.84
We simply applied the above formula so that the correct value could come
And, the same is to be considered
Answer:
This (x - 5) represents the length of the rectangle.
Step-by-step explanation:
The formula for the area of a rectangle of length L and width W is A = L * W.
Here, the width is x - 4 and the area is x^2 + x - 20. Dividing the width (x - 4) into the area results in an expression for the length:
x - 4 / x^2 + x - 20
Let's use synthetic division here. It's a little faster than long division.
If the divisor in long division is x - 4, we know immediately that the divisor in synthetic division is 4:
4 / 1 1 -20
4 20
--------------------
1 5 0
This synthetic division results in a remainder of 0. This tells us that 4 (or the corresponding (x - 4) is indeed a root of the polynomial x^2 + x - 20, and so *(x - 4) is a factor. From the coefficients 1 and 5 we can construct the other factor: (x - 5). This (x - 5) represents the length of the rectangle.
Step-by-step explanation:
a) $350 per week
20% commission on sales
For $925 in sales, commission is
20/100 × 925 = $185
Total earning = $350 + $185 = $535
b) For $x in sales, commission is
20/100 × x = 1/5 × x = x/5 or 0.2x
Total earnings = $350 + $ x/5 or $350 + $0.2x