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Marysya12 [62]
3 years ago
7

Jupiter is about 5 times the distance earth is from the sunEarth is about 93,000,000 miles from the sun.About how far is Jupiter

from the Sun.
Mathematics
2 answers:
forsale [732]3 years ago
6 0

Answer: The distance from the Sun to Jupiter is approximately 779 million km, or 484 million miles. The exact number is 778,547,200 km.

marshall27 [118]3 years ago
4 0

Answer:483.8 million mi

Step-by-step explanation:Just times how far away the the sun is from the earth by five

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Isaiah walks 3 miles due north, turns and then 5 miles due east. How far is he from his starting point?
Sonbull [250]
Isiah is 5.83 miles away from his starting point.

When you draw the the miles Isaiah walks, you will discover that you are forming a right angle triangle.

To measure the length from the starting point to the ending point. We must used the Pythagorean equation. Where in the square of the hypotenuse is equal to the sum of squares of the other two sides.

a² + b² = c²

a = 3 miles                        3² + 5² = c²
b = 5 miles                        9  + 25 = c²
c = hypotenuse.                    34    = c²
 
We must get the hypotenuse, since 34 is the square of the hypotenuse we must look for its square root.

c² = 34
c = √34
c = 5.83 miles
7 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
Which of the following correctly names a side of the triangle below?
slamgirl [31]

Answer:

C. \frac{}{AB}

Step-by-step explanation:

You can solve this in two ways, firstly by eliminating all the wrong answers, and secondly by just knowing that the horizontal line in _\frac{}{AB} means that we are talking about a line.

This is how we solve this question by using the eliminating process.

(A. ∠C) is not the right answer because the ∠ sign lets us know that this answer represents an angle, not a line

(B. <em>B) </em>is not the right answer because it represent a point, not a line (in math we use a singular capital letter to represent points)

(D. ΔABC) is not the right answer because the Δ sign lets us know that the answer represents a triangle, not a line.

Therefore, the only option left is C. \frac{}{AB}

4 0
2 years ago
The number of chickens to the the number of ducks on a farm was 6:5. after 63 ducks were sold, there were three times as many ch
Rom4ik [11]
Let x be the common factor between chickens and ducks. Then:
6x/(5x-63)=3/1
15x-189=6x
9x=189
x=21
6x=123 chickens were on the farm
☺☺☺☺
8 0
3 years ago
Read 2 more answers
Please help!!!!!!!!!!!!!!!!!!!!!!!!
brilliants [131]

Answer: P=47 inches

Step-by-step explanation:

First, you have to find the other side lengths. Two of the sides are equal to 20 because this is a rectangle. The first blank would be 20 because 20 times the other side length is equal to 70. Then you would divide 70 by 20 which would equal x. x would equal 3.5 in. Then the perimeter would be:

2(20)+2(3.5)=P

P=47 inches

7 0
3 years ago
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