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Usimov [2.4K]
2 years ago
11

Craig solicited donations for his school's jump-rope a-thon. He collected $13.00 in fixed donations and pledges totaling $1.50 f

or each minute, m, he jumps rope at the event. The total amount of money Craig has
raised is represented by the expression: 13 +1.50m.
What is the total amount of money Craig will raise if he jumps rope for 8 minutes?

HELP MEH PLA ASAP
Mathematics
1 answer:
charle [14.2K]2 years ago
8 0

Answer:

25

Step-by-step explanation:

13+1.50m

13+1.50(8)

13+12

25

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If Diana walks forward and her angle looking to the top of the building changes to 40°, how much closer is she to the building?
elena55 [62]

The closer Diana gets to the building, the smaller the angle becomes

Diana is 17.6 feet closer to the building

<h3>How to calculate the distance from the building</h3>

To calculate the distance between her and the building, we make use of the following tangent ratio

\tan(\theta) = \frac{h}{d}

Where:

  • \theta = 40^o
  • h represents the height of the building; h = 130
  • d represents the distance from the building

So, we have:

\tan(40) = \frac{130}{d}

Make d the subject

d = \frac{130}{\tan(40)}

Evaluate tan(40)

d = \frac{130}{0.8391}

d = 154.93

Initially, Diana is at a distance of 172.53.

The difference in both distance is:

\Delta d = 172.53 - 154.93

\Delta d = 17.6

Hence, Diana is 17.6 feet closer to the building

Read more about trigonometry ratios at:

brainly.com/question/4326804

7 0
2 years ago
A rectangle has a perimeter of 165.4 kilometers and a height of 20 kilometers. What is the length of the base?
KATRIN_1 [288]

Answer: Follow the Steps Below.

Step-by-step explanation: Simply divide the area of the rectangle by its height to find its base. Other forms of solving for the base can be accomplished knowing diagonal length by simply taking the square root of the diagonal length squared minus its height squared.

5 0
3 years ago
Expand the expression using the distributive property. 2(5x – 3)​
riadik2000 [5.3K]

Answer:

10x-6

Step-by-step explanation:

4 0
3 years ago
Explain why the square root of a number is defined to be equal to that number to the 1/2 power<br>​
denis23 [38]

Answer:

Because square root is essentially the same thing as the power to a half

sqrt(x) is the same as (x)^1/2

4 0
3 years ago
The graph of which function has an axis of symmetry at x = 3? f(x) = x2 3x 1 or f(x) = x2 – 3x – 3 or f(x) = x2 6x 3 or f(x) = x
Wittaler [7]
For
ax^2+bx+c
the axis of symmetry is -b/2a


first one
-3/2=3, nope

2nd one
3/2=3? nope

3rd one
-6/2=3? nope

fourth
6/2=3? yes
answer is last one or
f(x)=x^2-6x-1
6 0
3 years ago
Read 2 more answers
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