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Crazy boy [7]
3 years ago
15

Elena bowls two games on Saturday. Her score in the second game is 30 more than ¾ of her score the first game. Elena's total sco

re for the two games is 478. Write and solve an equation to demonstrate the points scored in her second game.
Mathematics
1 answer:
grin007 [14]3 years ago
7 0

Answer:

222 = score in 2nd game

Step-by-step explanation:

Let x = score in 1st game

3/4(x) + 30 = score in 2nd game

x + 3/4(x) + 30 = 478         Multiply thru by 4 to eliminate the fraction

4x + 3x + 120 = 1912

7x + 120 = 1912

7x = 1792

x = 256

3/4(x) + 30 = 3/4(256) + 30

= 192 + 30

222 = score in 2nd game

Check:  222 + 256 = 478

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Answer:

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Step-by-step explanation:

Using pythagoreas formula: A^2 * B^2 = C^2

so a=15, b=36, c=39

15^2+36^2=39^2

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from the top of a tree the angle of depression of a rock on the ground is 49 degrees. If the tree is 18.5 m tall, how far is the
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Answer:

Step-by-step explanation:

If you were to sit in the very top of said tree and look directly straight, your line of vision would be parallel to the ground. The angle of depression is in between your line of vision and the rock. When you look down at the rock, your line of vision to the rock is a transversal between the 2 parallel lines. With this being the case, the angle of depression is alternate interior with the angle made on the ground from the rock to the top of the tree. See the illustration I attached below.

We are looking for the distance on the ground between the tree and the rock, which we will call x. The side opposite the reference angle is the height of the tree and the side adjacent to the reference angle is x. Side opposite over side adjacent is the tangent ratio. Therefore,

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Download docx
4 0
3 years ago
Determine which of the following equations, when graphed, intersect at the point (4, 0). Select all that apply. x - y = 4 -x - y
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Step-by-step explanation:

Notice target point has y=0, so all terms with y are zero. Then all 6 equations reduce to m x = k, for various m and k. So calculate 4×m and compare to k six times.


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6 0
3 years ago
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Answer:

See Below

Step-by-step explanation:

That rule is a transformation across the x-axys.

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3 years ago
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