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lakkis [162]
3 years ago
11

Find the missing side round to the nearest 10th please help

Mathematics
1 answer:
katrin [286]3 years ago
8 0

Step-by-step explanation:

Number 3

cos∅ = adj/hyp

cos35° = 20/x

x = 20/cos35°

x = 20/0.8192

x = 24.4155

x ≈ 24.4 to the nearest tenth

Option C

Number 6

tan∅ = opp/adj

tan37° = 20/x

x = 20/tan37°

x = 20/0.7536

x = 26.5409

x ≈ 26.5 to the nearest tenth

Option B

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Martin uses 5/8 of a gallon of paint to cover 4/5 of a wall. What is the unit rate at which Martin paints in walls per gallon?
Papessa [141]

Answer:

The unit rate is 32/25 Walls per gallons.

Step-by-step explanation:

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3 years ago
What does the number line above represent?
sattari [20]
It is the last one. A closed circle means less than or equal to, so that crosses out the top two. The third says five is greater and we know that is not true because the line is decreasing in value. It must be the fourth.
8 0
3 years ago
Consider the circle of radius 5 centered at (0,0), how do you find an equation of the line tangent to the circle at the point (3
Flauer [41]

\text{We know that the tangent at any point on a circle is perpendicular}\\
\text{to the radius at that point.}\\
\\
\text{so first we find the equation of the line joining (0,0) and (3,4)}\\
\text{and then using the slope, we find the line perperndicular to it at (3,4)}\\
\\
\text{the equation of the line passing through (0,0) and (3,4) is}\\
\\
y-0=\frac{4-0}{3-0}(x-0)

\Rightarrow y=\frac{4}{3}x\\
\\
\text{so the slope of radius is }m=\frac{4}{3}.\\
\\
\text{we know that the product of the perpendicular lines is }-1. \\
\\
\text{so the slope of the perpendicular line would be}=-\frac{1}{4/3}=-\frac{3}{4}\\
\\
\text{So the equation of the tangent line has slope }-\frac{3}{4} \text{ and}\\
\text{passing through (3,4). so equation of tangent line is}

y-4=-\frac{3}{4}(x-3)\\
\\
\Rightarrow y-4=-\frac{3}{4}x+\frac{9}{4}\\
\\
\Rightarrow y=-\frac{3}{4}x+\frac{9}{4}+4\\
\\
\Rightarrow y=-\frac{3}{4}x+\frac{9+16}{4}\\
\\
\text{so the equation of tangent line is:} y=-\frac{3}{4}x+\frac{25}{4}

5 0
4 years ago
In a recent basketball game between the Storm and the Chargers the number of points scored by the Storm in the first half was eq
Leona [35]
<span> the number of points scored by the Storm in the first half was equal to the number of points scored by the Chargers in the second half of the game
S1 = C2

</span><span>In the first half the Storm scored one-fourth the total points scored in the game
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</span><span>During the second half the Chargers scored 16 points less than one-third the points scored in the game. 
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Solving for
S1
C2
and
T

T is the total points of the game</span><span />
4 0
4 years ago
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