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never [62]
3 years ago
5

The hiking path to the top of a mountain makes, at the steepest place, an angle of 20° with the

Mathematics
1 answer:
PtichkaEL [24]3 years ago
4 0

<u>We are given:</u>

a right angled triangle with the angle of elevation = 20 degrees

Hypotenuse of the Triangle = 500 m

<u>Finding the change in Elevation:</u>

We will use trigonometry in the given triangle to find the length of the perpendicular of the triangle

Using trigonometry, we found that the perpendicular = 500 * Sin 20 degrees

Perpendicular = 500 * 0.342           <em>[sin(20 degrees) = 0.342]</em>

Perpendicular = 171 m

The closest value to 171m in the given options is 170m

Therefore, 170m <em>(option B)</em> is correct

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Which of the following is equal to 7 1/4?<br> Show work.<br> Please help.
fomenos

d because you take the denominator of the fraction and you put it infront of the square root then you take the numerator and multiply it by the number at hand in this case 7


6 0
3 years ago
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Solve the system by substitution.<br> y = 4x + 22<br> y = -7x
Lesechka [4]

Answer:

x=-2

y=14

Step-by-step explanation:

-7x=4x+22

-11x=22

x=-2

y=-7(-2)

y=14

7 0
3 years ago
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Calculate the area of the shaded region between the regular polygons. Round to the nearest hundredth.
wolverine [178]

Answer:

I hope I'll help you with this but I am not sure of it all...

The area of the shaded region is 46,77

Step-by-step explanation:

To determine the area of the shaded hexagon, we must first calculate te area of the whole shaded hexagon and minus that by the white little hexagon.

The formula to calculate the area of a hexagon is (3√3 s2)/ 2

(where s = one side of the hexagon)

if one side a the little white hexagon equals 6 ft;

3√3 6ft.2/2 = 18√3/2 = 9√3

now for the bigger hexagon where one side is 12 ft;

3√3 12 ft.2/2 = 72√3/2 = 36√3

now the area of the bigger one minus the area of the smaller one;

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3 0
3 years ago
Slope : - 9/7 point : ( -7,4 )
dolphi86 [110]
To form an equation with the given information, we use the formula :

y = mx + b, m being the slope and b being the y-intercept.

Since it is given that the slope is -9/7, we substitute m with -9/7.

y = -9/7x + b

To find b, we will substitute the known coordinates into the equation :
At point (-7 , 4), x = -7, y = 4

4 = -9/7 (-7) + b
4  = 9 + b
b = 4 - 9
b = -5

Now we know that b = -5, we will substitute b = -5 into the equation that we found earlier, y = -9/7 x + b :

y = - 9/7x - 5

To make it more readable, we can multiply the equation by 7:
7y = -9x - 5
7y + 9x + 5 = 0

-----------------------------------------------------------
Answer : 7y + 9x + 5 = 0
-----------------------------------------------------------
7 0
3 years ago
Wally is rebuilding his fence. Each section of the fence will have 12 vertical boards that are each eight inches wide. He’s goin
Gennadij [26K]

Answer:

20-degree angle

Step-by-step explanation:

hope this helps

7 0
3 years ago
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