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kogti [31]
3 years ago
9

Can you help me please with number five

Mathematics
1 answer:
nirvana33 [79]3 years ago
3 0
0.5 gallons
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To get a fraction as a decimal, you have to divide the numerator by the denominator (commonly on a calculator, which is the easiest). 

In this case, divide 20 by 100 to get the answer of 0.2.

So, 20/100 as a decimal is 0.2.
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3 0
3 years ago
Which equation could be used to find the height of the flagpole?
Andrew [12]
Given a fragpole which makes a right angle with the point of observation with the angle of elevation as 50°.

Let x be the height of the flagpole, then

\sin50^o= \frac{x}{5}

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6 0
3 years ago
PLEASE ANSWER I WILL GIVE BRAINLIEST
Pachacha [2.7K]
We know that since a diameter splits a circle in half, the arcs EF, FG, and GH must add up to 180°, half the measure of a full circle. We can then use the arc addition property to create an equation using the information we know. This equation would be (10x + 8) + 67 + 11x = 180. This can be simplified to x = 5. Therefore, the value of x is 5. Now, we can simply plug in the value of x into the expressions for EF and GH. This means that the measure of EF is 58° and the measure of GH is 55°.

Hope this helps!
3 0
3 years ago
while visiting a mountain, John approximated the angle of elevation to the top of a hill to be 25 degrees. Alfter walking 350 fe
strojnjashka [21]
There are several ways of going about this problem, but just know that it all boils down to triangles and the rules/laws of triangles.
So we start by making a large right triangle, because the hill is vertical with the horizontal ground, with 25° as the left angle (where John looks up to top), 90° is the right angle (where ground meets hill base). So we see that the top side of the triangle is the hypotenuse, and equals the line of sight from John to hilltop.
Now we've got additional information that if John walks 350ft towards the hill, his angle of elevation increases by 14. So that = 25+14 = 39. How does that possibly help us?? Well now we can make 2 triangles inside of the one we've already made. So that now we have the triangle base split between the left angle of 25° and where he stopped 350ft to the right of that.
Now the supplement of 39 is 141, and the remaining piece of that too left triangle = 180-25-141 = 14. What does that mean? Well now we have a triangle, where we know all 3 angles and 1 side --> we can find another side by the law of sines:
If a, b and c are the lengths of the legs of a triangle opposite to the angles A, B and C respectively; then the law of sines states:
a÷sinA = b÷sinB = c÷sinC
We really need the hypotenuse to then find our hill height, so we'll make hypotenuse = side b in attached image. That being so, then its opposite angle (B) = 141. And the top right angle (C) = 14 with its opposite side (c) = 350ft.
Now we only need b÷sinB = c÷sinC
So b/sin141 = 350/sin14 --> b = 350sin141/sin14 = 350×.63/
b = 220.3/.24 = 910.47 ft
Now that's our hypotenuse, so using our original large right triangle, we can use right triangular trig. to solve. Let's make the right side, our hill height, equal to x.
Sin ¥ = opp. side / hypotenuse -->
Sin ¥ = x / hypotenuse
Sin25 = x / 910.5
x = 910.5×sin25 = 910.5×.423
x = 384.8 ft

3 0
3 years ago
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