<u>Given </u>that the length of the hypotenuse is 8 and the angle is 42°
The length of the one leg of the triangle is x.
We need to determine the value of x.
<u>Value of x:</u>
The value of x can be determined using the trigonometric ratio.
Thus, we have;

Substituting the values, we get;

Multiplying both sides of the equation by 8, we get;

Simplifying, we get;


Therefore, the value of x is 5.35(app.)
Hence, Option A is the correct answer.
Answer:
2.25
Step-by-step explanation:
9 divided by 4 is 2.25 hope this helped!
Answer:
correct option is C) 2.8
Step-by-step explanation:
given data
string vibrates form = 8 loops
in water loop formed = 10 loops
solution
we consider mass of stone = m
string length = l
frequency of tuning = f
volume = v
density of stone =
case (1)
when 8 loop form with 2 adjacent node is
so here
..............1

and we know velocity is express as
velocity = frequency × wavelength .....................2
= f ×
here tension = mg
so
= f ×
..........................3
and
case (2)
when 8 loop form with 2 adjacent node is
..............4

when block is immersed
equilibrium eq will be
Tenion + force of buoyancy = mg
T + v ×
× g = mg
and
T = v ×
- v ×
× g
from equation 2
f ×
= f ×
.......................5
now we divide eq 5 by the eq 3

solve irt we get

so
relative density 
relative density = 2.78 ≈ 2.8
so correct option is C) 2.8
Based on the charge to the artist and the amount the streaming services pay, the following are true:
- -50.
- 5.
- y = 5x - 50
- .
- 10,000 streams.
- 190,010,000 streams
<h3>What model can be derived for the streaming data?</h3>
The y-intercept would be the amount that the artist has before they start making any money. In this case that amount is -$50 because they will owe the distributor.
The slope is the change per unit which is $5.00 here.
The formula is therefore:
y = mx + b
y = Slope × x + b
y = 5 × x + (-50)
y = 5x - 50
The number of streams to pay off the distributor is when the profit is $0:
0 = 5x - 50
50 = 5x
x = 10 units
Number of streams:
= 10 units x 1,000
= 10,000 streams
To make a profit of $950,000, the units are:
950,000 = 5x - 50
5x = 950,000 + 50
x = (950,000 + 50) / 5
= 190,010 units
Number of streams is:
= 190,010 x 1,000
= 190,010,000 streams
Find out more on linear equations at brainly.com/question/1884491.
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Answer:
81/70
Step-by-step explanation:
5/14+4/5=25/70+56/70=81/70