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gayaneshka [121]
4 years ago
10

Find the value of h in the triangle

Mathematics
1 answer:
skelet666 [1.2K]4 years ago
3 0

Firstly , we need to locate some unknowns

we can find angle t

Let's take bigger triangle first

sin(t)=\frac{12}{30}

now, we can take smaller triangle to find h

sin(t)=\frac{h}{20}

now, we can plug value of sin(t) here

and we get

\frac{12}{30}=\frac{h}{20}

now, we can find h

h=20*\frac{12}{30}

h=8ft..............Answer

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A rectangle has the height of X and the width of 7X -4
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Answer:

Step-by-step explanation:

Area = x(7x-4) = 7x^2-4x

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3 years ago
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3 0
4 years ago
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In a certain town there were 332 robberies last year. This year the number of robberies has gone down 14%. How many robberies we
Reptile [31]

Answer:  300

Step-by-step explanation:

Number of robberies last year was                          =  332

Percentage of reduction in the subsequent year    = 14%

Therefore,to know the decline amount, we find 14% of 332

                                                                                    = 14/100 x 332

                                                                                    = 46.48

Now to find out the number of robberies cases recorded this year, it will be

                                                                                   = 332 - 46.48

                                                                                   = 285.52

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6 0
4 years ago
Find the area of a triangle bounded by the y-axis, the line
Pepsi [2]
The area is 68.47.

A drawing of the triangle is attached.

We first plot the y-intercept of the line given to us, f(x)=34-4x.  This is in the form f(x)=mx+b, so the y-intercept, b, is 34.  

Next we use the slope to find the next points of the line.  The slope is -4, which can be written as -4/1 (rise/run).  This means from the y-intercept, we go down 4 and over 1 to plot the next point, and continue in this manner.  We now have the y-axis and this line drawn.

Next we use the slope of the line to find the slope of the perpendicular line described.  Two lines are perpendicular if their slopes are negative reciprocals of each other.  The slope of the first line was -4/1; this means the slope of this line must be 1/4.  We also know this point goes through the origin, so 0 is the y-intercept, and we have the equation f(x)=1/4x+0.

To graph this, plot a point at 0, the y-intercept.  The slope is 1/4, so we go up 1 and over 4 to the next point.  This happens to be on the line we previously drew.

To find the area of this triangle, we need to identify the base and height.  The height will be perpendicular to the base.  The two sides that form a right angle are the bottom and the right hand side, so the bottom is the base and the right hand side is the height.

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d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}=\sqrt{(34-1)^2+(0-4)^2}
\\
\\=\sqrt{33^2+(-4)^2}=\sqrt{1089+16}=\sqrt{1105}\approx33.24

To find the length of the base:
d=\sqrt{(0-1)^2+(0-4)^2}=\sqrt{(-1)^2+(-4)^2}=\sqrt{1+16}=\sqrt{17}
\\
\\\approx4.12

The area of a triangle is given by A=1/2bh:
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Answer:

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3 years ago
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