Answer:
700.4 cm
Step-by-step explanation:
This involves two similar triangles.
Both triangles are right triangles.
One has legs measuring 1 cm and 30 cm. We can find the hypotenuse by using the Pythagorean theorem.
(1 cm)^2 + (30 cm)^2 = c^2
c^2 = 901 cm^2
c = sqrt(901) cm
The second triangle has one leg with length 700 cm. This leg corresponds to the 30-cm leg in the other triangle. Since the triangles are similar, we can use a proportion to find the hypotenuse of the second triangle.
(30 cm)/(700 cm) = [sqrt(901) cm]/x
3/70 = sqrt(901) cm/x
3x = 70 * sqrt(901) cm
x = 70 * sqrt(901) cm/3
x = 700.4 cm
Answer: 700.4 cm
Answer: width = 21, length = 47
<u>Step-by-step explanation:</u>
Length (L) = 2w + 5
width (w) = w
Perimeter (P) = 136
P = 2L + 2w
136 = 2(2w + 5) + 2w <em>substituted the given values above</em>
136 = 4w + 10 + 2w <em>distributed 2 on the right side</em>
136 = 6w + 10 <em>added like terms (4w and 2w)</em>
126 = 6w <em>subtracted 10 from both sides</em>
21 = w <em>divided both sides by 6</em>
Length (L) = 2w + 5
= 2(21) + 5
= 42 + 5
= 47
Answer:
(c) $1062.50
Step-by-step explanation:
The total of the rental and security deposits amounts to two and a half months' rent:
2.5 × $425 = 1062.50
It will cost Blake $1062.50 to move in.
Answer:
The numerical value of the circumference is greater than the numerical value of the area.