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Otrada [13]
3 years ago
9

This graph shows how much Marie earns babysitting, compared with the number of hours she works. Select the correct statement abo

ut the graph. A. for each hour she works , her earnings go up by $10 B. for each dollar she earns, the number of hours she works goes up by 10. C. for each hour she works, her earnings go up by $5 D. for every 5 hours she works, her earnings go up by $1

Mathematics
2 answers:
LekaFEV [45]3 years ago
8 0

Answer:$10 .per hour

Step-by-step explanation:

Eduardwww [97]3 years ago
4 0

Step-by-step explanation:

for each hour she works , her earnings go up by $10

The first one is the correct answer, because the slope of the line is

$(60-0)/(6.0 hours)

= 60/6 $/hour

=10 $/hour.

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The tallest tree in the world is reputed to be a giant redwood named Hyperion located in Redwood National Park in California, US
dlinn [17]

Answer:

114.02 meters

Step-by-step explanation:

The information you're given about the tree will form a triangle, with the three corners being the top of the tree, the point where the tree meets the ground, and the specified point 41.5 meters from the tree. The angle of elevation (70°) is the angle made where the line representing the ground and the line connecting the top of the tree to the ground at the specified point connect.

The angle where the tree meets the ground is 90°, so the triangle a right triangle.

So this all means you know one angle of a right triangle (70°) and the side adjacent to this angle (41.5 meters). You're solving for the height of the tree, which is the side opposite of the angle you know. You can solve using either <em>Sine, Cosine, </em>or <em>Tangent.</em>

Use the acronym SOHCAHTOA to figure out which of those three functions to use. Feel free to look this up for more information if you haven't heard of it before. In this case, we're using Tangent (TOA = Tangent, Opposite side, Adjacent side)

To solve using any of those three functions, you'll need a scientific calculator. On your calculator, you'll see the buttons <em>SIN, COS, </em>and<em>TAN.</em> For this problem, press <em>TAN</em> and you'll see something appear that says <em>tan (___)</em>. You'll need to input a number to get your answer, and here's how to find that number:

Again referencing SOHCAHTOA, the "TOA" part lists Opposite first and then Adjacent. This is because you're going to write a fraction with those two numbers, and since Opposite is first, it's the numerator. That means that Adjacent is the denominator. We don't know the value of the opposite side, so it'll be represented by <em>x</em>, and we do know the value of the adjacent side, 41.5. This means the fraction is \frac{x}{41.5} .

This isn't the number to input into the calculator -- you need to isolate the variable:

The original equation is:

tan 70 = x/41.5

Multiply both sides by 41.5 (To cancel out the denominator and isolate <em>x</em>)

tan 70 (41.5) = x

Now you've got the equation for <em>x, </em>you're ready to put this in your calculator.

What appeared on your calculator was:

tan(__)

Input like follows:

(tan(70))41.5

The brackets are needed like that so the calculator knows to multiply the entire thing by 41.5. You might get a wrong answer otherwise.

Hit enter, and you'l get the height of the tree:

114.02 meters

5 0
3 years ago
If 265 identical boxes, each containing 24 books, weighs a total of 12,720 pound, how much does each book weigh?
Lemur [1.5K]
Each book weighs 2 pounds
7 0
4 years ago
What is the solution to the linear equation?<br><br> 4b+6=2-b+4
Morgarella [4.7K]
To start we need to put all the b's on the same side.

4b + 6 = 2 - b + 4
To move the b on the right side to the left side, add b to both sides.
4b + 6 + b = 2 - b + 4 + b

Simplify. 4b + b = 5b and -b + b = 0 so...
The equation is now:  5b + 6 = 2 + 4

Now move 6 to the right side so we can isolate b.
5b + 6 - 6 = 2 + 4 - 6
Simplify.
5b = 0
Solve for b.
b = 0/5
b = 0


7 0
3 years ago
Read 2 more answers
I need help with #5 an explanation might be nice too!! (will give brainliest!) and 50 points.
julsineya [31]

Answer:

2600 yd cubed

Step-by-step explanation:

13 times 20 is 260

260 times 10 is 2600

8 0
3 years ago
0.2 ( 10 - 5c ) = 5c - 16
Mumz [18]

Answer: c = 3

Step-by-step explanation: Distribute 0.2 to (10-5c)

2-1c=5c-16

Then subtract 2 on both sides and subtract the 5c.

-1c=5c-18

-6c=-18

Then divide -6 to -18

-18/-6 = 3

8 0
3 years ago
Read 2 more answers
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