Answer:
& 
Step-by-step explanation:
1) Subtract 
from both sides. This should leave you with 
.
2) Square root both sides. This should leave you with 
& 
.
<em>You can stop here if this is what the problem is asking for. However, it is not fully simplified.</em>
<em />
3) Factor the equation. This should leave you with & .
Answer:
13. B. 24 cm²
14. y = 5⅝ (none of the options is correct)
Step-by-step explanation:
13. The figure is a trapezoid
Area of the trapezoid = ½(a + b)h
Where,
a = 3 cm
b = 5 cm
h = 6 cm
Area = ½(3 + 5)6
= ½(8)6
= 4*6
= 24 cm²
14. Area of the triangle = ½*b*h
The area is given to be 45 cm²
base (b) = 16 cm
height (h) = y
Plug in the values and solve for y
45 = ½*16*y
45 = 8y
Divide both sides by 8
45/8 = 8y/8
45/8 = y
5⅝ = y
y = 5⅝ (none of the options is correct)
Answer:
The angle for each slice is 45 degrees.
Step-by-step explanation:
In order to calculate the angle of each slice, we first need to calculate the total area of the pizza, because we will use that to find the area of each slice and as a result it's angle. To calculate the area of the pizza we must use:
pizza area = pi*r²
r = d / 2 = 14 /2 = 7 inches
pizza area = pi*(7)² = 153.86 square inches
Since the pizza was divided in 8 pieces, the area of each piece is given by the area of the pizza divided by the number of slices. We have:
slice area = pizza area / 8 = 153.86 / 8 =19.2325 square inches
Each slice is a circle sector, therefore it's area is given by:
slice area = (angle*pi*r²)/360
Therefore we can solve for angle:
19.2325 = (angle*pi*7²)/360
angle*pi*49 = 6923.7
angle = 6923.7 / pi*49 = 45 degrees
The angle for each slice is 45 degrees.
Answer:
7/8 divided by 1/4 = 7/2
Step-by-step explanation:
Use the reciprocal when dividing fractions. :)
Answer:
A & C
Step-by-step explanation:
To find the two expressions that are equivalent to 6.5 ÷ 1.3, you need to solve all of them until you get the two expressions that have a quotient of 5.
Let's begin solving!
65 ÷ 13 = 5
So now we know that A is one of our answers
65 ÷ 130 = 0.5
Not one of our answers because the quotient is not 5
650 ÷ 130 = 5
This is our other answer! We don't need to solve D because we only needed to find two expressions which are A and C.
Hope this helps you :)
