Trigonometry
Find the value of aBc
Compound shape
Answer:
∠ ABC = 75°
Step-by-step explanation:
using the sine ratio in right Δ ABD
sin ABD = =
=
=
, then
∠ ABD = (
) = 30°
Using the sine ratio in right Δ CBD
sin CBD = =
=
=
, then
∠ CBD = (
) = 45°
Then
∠ ABC = ∠ABD + ∠ CBD = 30° + 45° = 75°
Using the given scale ratio on the map and setting up a proportion with the real distance to the capital, then solving, we get that the state capital is represented as being 3.5 inches from the border on this map.
The subject of this question is applied mathematics, specifically ratios. The scale on the map is given as 1/4 in : 18 mi. This means that for every 1/4 inch on the map, it represents 18 miles in reality. To figure out how far the capital is from the border on the map, you'll implement this scale ratio.
First, you make a fraction with the scale, with the real distance (18 miles) on top and the map distance (1/4 inch) on the bottom. Then, you set up a proportion with this fraction equal to another fraction consisting of the real distance to the capital on top (252 miles) and an unknown distance on the map at the bottom, which we can represent as x.
The fraction then looks like this: 18/0.25 = 252/x. Solving for x gives you x = (0.25*252)/18 = 3.5. Therefore, the state capital is represented as being 3.5 inches from the border on this map.
#SPJ2
Answer:
L x W x H
Step-by-step explanation:
L=Length
W=Width
H=Height
You find your L, W, and H. Multiply your L, W, and H.
Example:
L=Length
W=Width
H=Height
L=7
W=2
H=4
7 x 2 x 4
7 x 2 = 14
14 x 4 = 56
Rearranging to check my work:
7 x 4 x 2
7 x 4 = 28
28 x 2 = 56
I was right.
Hope this answers your question.