Answer:
x - 53
——————
8
Step-by-step explanation:
STEP
1
:
x + 3
Simplify —————
8
Equation at the end of step
1
:
(x + 3)
——————— - 7
8
STEP
2
:
Rewriting the whole as an Equivalent Fraction
2.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 8 as the denominator :
7 7 • 8
7 = — = —————
1 8
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(x+3) - (7 • 8) x - 53
——————————————— = ——————
8 8
Answer: (a * 50%)^3
Step-by-step explanation:
length = a
(a * 50%)^3
If a would've been the length and would've been decreased to 50%, the volume would be equal to that expression.
For any sort of pyramid or cone, the volume is 1/3 of the volume of a prism with the same base and height. Since the volume of a prism/cylinder is
, the volume of a pyramid/cone is
.
In this case, our base is a circle, which has a radius of 4 cm.
The area of a circle is
where r is the radius.
We now know that our base is 16π cm.
We also know that our height is 9 cm.
Let's plug these into our volume formula.
Use 3.14 to approximate pi as the question states. 16 × 3.14 = 50.24.
We could punch all of that into our calculator to get the same answer, but since 1/3 of 9 is clearly 3, let's just go with that.
Answer:
c = 45 and d = 72
Step-by-step explanation:
For them to be similar, the ratio of corresponding sides should be equal.
<u>Ratio of a to b should be equal to ratio of c to d</u>
Ratio of a to b is
<em>Looking at the answer choices, the value of c = 45 and d = 72 gives us the same ratio.</em>