Answer:
b×-5≤-3/4
Step-by-step explanation:
if its at most that means b times -5 is less or equal. (also remember the line under the inequality symbol)
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°.
First, we need to know how much profit in dollar value by this method
profit = percentage × whole price
Plug in the numbers to the formula above
profit = percentage × whole price
profit = 40% × 25
profit = 0.40 × 25
profit = 10
The profit Daniel gets is $10
Second, add the original price and the profit together and you'll find the new price.
new price = original price + profit
new price = $25 + $10
new price = $35
Daniel sold the computer game for $35
slope is change in y over change in x
use 2 points from the table so -3,-21 and -6,-39
change in Y: -39 - -21 = -18
change in x = -6 - -3 = -3
slope = -18/-3 = 6
slope = 6
