Answer:
x ≈ 8.3 ( to the nearest tenth )
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos41° =
=
= 
Multiply both sides by 11
11 × cos41° = x, thus
x ≈ 8.3
Answer:
6 hours. ( I DID IT USING PROPORTIONS!)
Step-by-step explanation:
houses/hours
130/2.5= 312/x
(cross multiply)
130x = 780
130x/130 = 780/ 130 (divide each by 130)
6 = h
Answer:
BE / AB = <u>HE</u> / AH
Step-by-step explanation:
AE is angle bisector
BE / HE = AB / AH
BE / AB = HE / AH
Answer:
5.14 km
Step-by-step explanation:
A semicircle is 1/2 of a circle so the perimeter is just 1/2 of the circumference
C = 2 * pi r for a circle so for a semicircle
1/2* 2* pi *r
pi*r
3.14 * 1
3.14
If we want to include the piece that closes the semicircle, we need to add the diameter
d = 2r = 2(1) = 2
2+3.14 = 5.14
Answer:
243 in²
Step-by-step explanation:
Step 1. Calculate the<em> base and height </em>of the rectangle
We have two conditions:
(1) 2b+ 2h = 72 in
(2) b = 3h Substitute in (1)
2(3h) + 2h = 72 Remove parentheses
6h + 2h = 72 Combine like terms
8h = 72 Divide by 6
h = 9 in Substitute in(2)
b = 3 × 9
b = 27 in
Step 2. Calculate the area of the rectangle
A = bh
A = 27 × 9
A = 243 in²
The area of the rectangle is 243 in².