Answer: 5sqrt(5)
The square root of 125 is the square root of (25*5) so the simplified form is 5 times the square root of 5.
Answer: (x - 1)² + (y - 1)² = 25
<u>Step-by-step explanation:</u>
The formula for a circle is (x - h)² + (y - k)² = r² where
- (h, k) is the center
- r is the radius
Typically, you are given the center and the radius. In this problem, you are given (x, y) so you must plug that into the equation to find r².
Given: (x, y) = (-3, 4) and (h, k) = (1, 1)
(-3 - 1)² + (4 - 1)² = r²
(-4)² + (3)² = r²
16 + 9 = r²
25 = r²
Next, input (h, k) and r² into the equation
(x - 1)² + (y - 1)² = 25
Answer:
Step-by-step explanation:
Answer:
A. We are given that the length of the box is equal to 24 as indicted in the "24-inch long". From the given, it is also stated that the width of the box is 7 inches less than the height. If the height of the box is x, the width is then x - 7. The equation that would let us solve the problem is,
2880 = 24(x)(x - 7)
Simplifying,
2880 = 24x² - 168x
B. The value of x from the equation is 15. Thus, the answer is YES.
Step-by-step explanation:
Answer:
4,257 m²
Step-by-step explanation:
step 1
Find the lateral area of the rectangular prism (ottoman)
The lateral area is
LA=PH
where
P is the perimeter of the base
H is the height of the prism
Find the perimeter of the base P
P=2(37+21)=116 cm
we have H=30 cm
<em>Find the lateral area</em>
LA=116(30)=3,480 m²
step 2
Find the area of the top of the ottoman
B=37*21=777 m²
step 3
we know that
The fabric needed to cover the sides and top of the ottoman is equal to sum the lateral area plus the area of the top
3,480+777=4,257 m²
