Answer:
m∠x = 10°
Step-by-step explanation:
Since we are dealing with a <u>right triangle</u> and its two sides and one angle, we can use <u>trigonometry ratios</u>. Remember them all with the acronym SohCahToa.
"o" is for opposite side, "a" is for adjacent side, "h" is for hypotenuse side.
The ratios are:
sinθ = opposite/hypotenuse
cosθ = adjacent/hypotenuse
tanθ = opposite/adjacent
θ means the "angle of reference", or the angle you know or want to find. This determines which side is adjacent (touching) or opposite (not touching). The hypotenuse (longest side) does not change.
In this triangle, θ = x. The sides we know are hypotenuse and opposite. Therefore, we will use the sinθ ratio.
sinθ = opposite/hypotenuse
sinx = CB/AB Substitute the labels in the diagram
sinx = 4/23 Substitute known values (side lengths)
x = sin⁻¹(4/23) Isolate 'x'. Use calculator to solve.
x = 10.015....° Exact answer
x ≈ 10° Round to the nearest degree
Therefore the measure of angle x (m∠x) is 10°.
Answer:
F=0.4t
Step-by-step explanation:
Find the slope using the formula rise over run or y2-y2 over x2-x1
y2=72 y1=64 x2=25 x1=5
72-64/25-5=8/20=0.4
Answer:
b. 8,800,000.
Step-by-step explanation:
In maria study the number of cars on the road increases by 10% each year.
Total number of cars in the first year =80 million cars.
We will add 10% of 80 million to 80 milion to enable us get the number of cars for the second year.
For year 2 we have;
10% of 80,000,000+80,000,000
8,000,000 + 80,000,000
88,000,000
number of cars in year 2 = 88 million
We will add 10% of 88 million to 88 milion to enable us get the number of cars for the third year.
8,800,000+88,000,000
96,800,000
the number of cars on the road in year 3 compared to year 2 will just be the increase which is in BOLD. That is 8,800,000
<em>or simply subtract the number of cars in year 2 from that in year 3;</em>
96,800,000-88,000,000 = 8,800,000
Answer:
D
Step-by-step explanation:
a- Multiply the square of 7/2 by 3.14
b-Multiply 36 and 36
c-Multiply 7 and 7
d-Multiply the square of 36 by 3.14
