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snow_tiger [21]
3 years ago
5

I don’t know what to do please help!!!

Mathematics
1 answer:
FromTheMoon [43]3 years ago
4 0

Answer:

x = 10

Step-by-step explanation:

Given

AB = 8

AC = x

QR = 12

QS = 15

Required

Find x

Because both triangles are similar, we have:

AB : AC = QR : QS --- Equivalent ratios

This gives:

8 : x = 12 : 15

Convert to fraction

\frac{8}{x} = \frac{12}{15}

Cross Multiply:

12 * x = 8* 15

12x = 120

Divide both sides by 12

x = \frac{120}{12}

x = 10

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Step-by-step explanation:

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4 years ago
The slope goes through (2,5) and (7,r) and equals 1/3 what is r
myrzilka [38]

The fromula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

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Substitute:

\dfrac{r-5}{7-2}=\dfrac{1}{3}\\\\\dfrac{r-5}{5}=\dfrac{1}{3}\qquad|\text{cross multiply}\\\\3(r-5)=(5)(1)\qquad|\text{use distributive property}\\\\3r-15=5\qquad|\text{add 15 to both sides}\\\\3r=20\qquad|\text{divide both sides by 3}\\\\r=\dfrac{20}{3}

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4 years ago
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stiv31 [10]
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7 0
3 years ago
A helicopter is flying at an elevation of 575 feet directly above a horizontal highway. Two motorists are driving cars on the hi
Ket [755]

Answer:

Distance between cars rounded to the nearest foot is : 1903 ft

Step-by-step explanation:

Notice that two right triangles can be used to represent the diagram of this situation. One between the car whose angle of depression is 28^o, and the other with the car with angle of depression 35^o (see attached image)

Each triangle in the attached image is depicted with a different color. and as one can see, the distance between both cars is the addition of the side "x" in one triangle, to the side "y" in the other.

Notice as well that the information known for both right-angle triangles is one acute angle, and the side opposite to it. And what one needs to find is the side adjacent to this acute angle. Then, the function to use in both triangles, is the tangent:

a) For the  28^o [orange] triangle :

tan(28^o)=\frac{575}{y} \\y=\frac{575}{tan(28^o)} \\y=1081.42\,\,ft

b) For the 35^o [green] triangle:

tan(35^o)=\frac{575}{x} \\y=\frac{575}{tan(35^o)} \\y=821.19\,\,ft

Therefore the total distance between cars is:

1081.42 ft + 821.19 ft = 1902.61 ft

which to the nearest foot can be rounded as: 1903 ft

4 0
3 years ago
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