Answer:
x = <u>16</u> units
Step-by-step explanation:
∆ABC is a 45-45-90 triangle, and ∆BCD is a 30-60-90 triangle.
If side opposite of 90° [∆] = x, side opposite of 45° [∆] = x / √2 = x √ 2 / 2.
Given side AC is opposite of 90° [∆ABC] = 32 √ 2, side opposite of 45° [∆ABC] = 32 √ 2 / √ 2 = 32 which is AB or BC.
Since side BC is part of BCD.
Side opposite of 90° [∆BCD] = BC = 32.
Since x is opposite of 30° [∆BCD].
x = Side opposite of 90° [∆BCD] / 2 = 32 / 2 = 16.
Answer:
y+11=-
(x-4)
Step-by-step explanation:
since the equation is perpendicular to y=4x-2, m=-1/4 (negative reciprocal). (x_1,y_1)=(4,-11), plug all the values into the equation y- y_1 = m(x-x_1) and we get y+11=-
(x-4)
Answer:
50
Step-by-step explanation:
So if the driver is going 50 on 1 lap. He must average out another 50 to make the 100
3.3 ft --- 1 m
11.4 ft --- x m
x = 11.4/3.3 ≈ 3.45 m
Answer:
<em>50° is the correct answer</em>
Step-by-step explanation:
<u>Right Triangles</u>
The right triangles are identified because they have an internal angle of 90°. The basic trigonometric ratios can be used to find angles and side lengths as needed.
We have a right triangle with the following characteristics:
The hypotenuse is 13 units long
The indicated angle is opposite to the leg of 10 units long.
When we know the length of the opposite side, we use the sine ratio. Let's call θ to the required angle:


Using a calculator set in mode <em>degrees</em>, the angle is:


First choice: 52° is not correct because is not a good approximation to 50.3°
Second choice:38° is not correct because is not a good approximation to 50.3°
Third choice: 50° is a good approximation to 50.3°. Correct Answer
Fourth choice: 40° is not correct because is not a good approximation to 50.3°