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:
305 miles per hour
Step-by-step explanation:
61 miles per hour
61(5)= 305 miles/ hour
<em>All Answers Under </em><em>Other Answers:</em>
Explanation:
First, you need to add all of the numbers to find the total budget. The total budget is <u>$1,116.</u> Then, to find the percentages, you need to divide each sections' money by the budget. For example, for 'contributions', you will do $175.76/$1,116 and get 0.157. But, this is a decimal. To make it into a percentage, you move the decimal point 2 spaces to the right. .157 = 15.7% So, for the 'contributions' section, the answer is 15.7%. Another example. For the 'housing' section, the amount was $350.84. Divide that by $1,116.
Move the decimal point <em>2 spaces to the right</em> -- 31.4%
<u>I hope you understand how I got these answers</u>
<em>Other Answers:</em>
Transportation: 4.5%
Clothing: 2.7%
Medical Expenses: 3.1%
Food: 17.9%
Taxes: 9.5%
Miscellaneous: 15.1%
Answer:
1/8 Kg de miel.
Step-by-step explanation:
Here is my answer. Let just give assumptions. For example,the relationship is linear.Therefore the slope, "m," is the same throughout.
Let us make patrons the independent variable, the two points are: (1314, 11333) and (1544, 13518).
m = (13518-11333)/(1544-1314)
m = 9.5
profit = 9.5 patrons (you pick the variable names)
For 1 more patron substitute 1:
profit = 9.5 (1)
profit = 9.5
Isolate "patrons" and you get the function based on profit:
patrons = profit/9.5
The break even point is for 0 < profit.
0 < profit = 9.5 patrons
0 < 9.5 patrons
0 < patron
