Answer: D. 94.25 in²
Step-by-step explanation:
To find the total area, we will break the shape up into two different parts.
[] The rounded part is 39.25 in². Let us assume the rounded part is exactly half of a circle.
Area of a circle:
A = πr²
Use 3.14 for pi:
A = (3.14)r²
Find the radius:
d / 2 = r, 10 / 2 = 5 in
Subsittue:
A = (3.14)(5)²
A = 78.5 in²
Divide by 2 since it is only half:
78.5 in² / 2 = 39.25 in²
[] The triangle is 55 in².
Area of a triangle:
A = b*h/2
A = 11 * 10 / 2
A = 110 / 2
A = 55 in²
[] Total area. We will add the two parts together.
55 in² + 39.25 in² = 94.25 in²
Since the properties of a rhombus tells us that both pairs of opposite sides are congruent we can therefore conclude that DB will be 12
Answer:
4 gallons of paint
Step-by-step explanation:
We solve using the formula for surface area of rectangular prism.
A=2(wl+hl+hw)
Where:
w = Width
h = Height
l = Length
The pool is 4 feet deep, 18 feet long, and 12 feet wide.
Hence,
=2 × (12 × 18 + 4 × 18 + 4 ×12)
=672 square feet
One gallon of paint covers 155 square feet.
Hence,
155 square feet = 1 gallon of paint
672 square feet = x
Cross Multiply
155 square feet × x = 672 square feet × 1 gallon of paint
x = 672 square feet × 1 gallon of paint/ 155 square feet
x = 4.335483871 gallons of paint
Therefore, based on the calculation above, approximately to the nearest whole number, Sierra uses 4 gallons of paint
Answer:
p(x) = 0.85x
t(x) = 1.065x
(t o p)(x) = 0.9x
$2700
Step-by-step explanation:
If the marked price is $x, then the function p(x) that gives the price of the riding lawn mower after 15% discount will be
where x is the marked price.
Now, the function that gives the total cost with sales tax will be given by
where x is the discounted price.
Therefore, the composite function that gives the total cost of the riding lawn mower on sale is given by
(t o p)(x) = 1.065(0.85x) = 0.9x ............ (1)
where x is the marked price.
If the marked price x = $3000, then Mr. Rivera has to pay for the riding lawn mower, from equation (1),
(t o p)(3000) = 0.9 × 3000 = 2700 dollars. (Answer)
The area of a trapezoid with base lengths 7 in and 19 in is given by
A = (1/2)(b1 + b2)h
A = (1/2)(7 +19)·7 = 91
The appropriate choice is
D. 91 in²
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It can also be figured by adding the area of the 7 in square (49 in²) to the area of the 7×12 in right triangle (42 in²).
