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BaLLatris [955]
3 years ago
5

One leg of a right triangle measures 6 inches. The remaining leg measures 6 square root of 3 inches. What is the measure of the

angle opposite the leg that is 6 inches long?
Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
4 0
Let
x---------> <span>the measure of the angle opposite the leg that is 6 inches long

we know that
tan x=opposite side angle x/adjacent side angle x
</span>opposite side angle x------> 6 in
adjacent side angle x-------> 6√3 in
<span>so
tan x=6/(6</span>√3)-----> x=1/√3------> √3/3
<span>x=arc tan(</span>√3/3)------> x=30°
<span>
the answer is
30</span>°<span>

</span>
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vitfil [10]
2/4+5/6+7/2=29/6-1/2=26/6=13/3=4 1/3
5 0
3 years ago
Sheila buys some boxes of pens, with 20 pens in each box. Which expression represents the total number of pens Sheila bought? 20
Mazyrski [523]
The answer is 20p. P represents the number of boxes she buys and 20 is how many pens are in each box.
7 0
3 years ago
The perimeter of a rectangle is 100 yd. if its width is four times its length, what is the area?
7nadin3 [17]

<span>Length = l</span>

<span>
Width = w</span>

<span>
Perimeter = p = 100

</span>

<span>Perimeter of rectangle = 2(l+w)</span>

<span>
100 = 2 (4w + w)</span>

<span>
100 = 2(5w)</span>

<span>
100 = 10w</span>

<span>
100/10 = w</span>

<span>
10 = w</span>

<span>
w =  10



Area of rectangle = length * width</span>

<span>
a = l*w</span>

<span> a = 4w*w</span>

<span>
a = 4w^2............(1)</span>

<span>
Put the value of w in (1)</span>

<span>
a = 4(10)^2</span>

<span>
a= 4(100)</span>

<span>
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4 0
3 years ago
15. The table below shows the various ways
Kipish [7]

Answer:

45 %  

Step-by-step explanation:

\begin{array}{lc}\textbf{Method} & \textbf{Number}\\\text{Walk} & 36 \\\text{Bus} & 26 \\\text{Car} & 18 \\\text{TOTAL} & \mathbf{80} \\\end{array}\\\text{Percent of walkers} = \dfrac{36}{80} \times 100 \% = \mathbf{45 \, \%}

7 0
3 years ago
Read 2 more answers
Solve the system of linear equations by graphing. Round the solution to the nearest tenth.
jeyben [28]

Answer:

The approximate solution to the system is (1.2, 4.4)

x = 1.2 and y = 4.4

Step-by-step explanation:

The solution of the system of linear equations equation y = –0.25x + 4.7 and y = 4.9x – 1.64 is shown in the attached graph. The red line represents the equation y = –0.25x + 4.7 and the blue line represents the equation  = 4.9x – 1.64.

The solution of the system of equations is their point of intersection shown on the graph.

The point of intersection is (1.231, 4.392). To the nearest tenth, it is (1.2, 4,4). So x = 1.2 and y = 4.4.

So the approximate solution to the system is (1.2, 4.4)

6 0
3 years ago
Read 2 more answers
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