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otez555 [7]
2 years ago
5

100 people planned to run to raise funds for a charity. Twenty percent of them ran 3 miles, two-fifth ran 6 miles, and the rest

ran 9 miles. For every mile run, they raised $20. What was the total amount raised for the charity?
Mathematics
2 answers:
frozen [14]2 years ago
8 0

Answer:

$13,200

Step-by-step explanation:

20*3=60*20=1200

40*6=240*20=4800

40*9=360*20=7200

1200+4800+7200=13200

Andrews [41]2 years ago
4 0

ANSWER:

360

Step-by-step explanation:

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Help Please!!<br> What is the value of a?<br><br> Enter your answer in the box.<br><br> a =
Talja [164]

Answer:

a=15

Step-by-step explanation:

By pythagoras' theorem

25²=20²+a²

625=400+a² group like terms

a²=625-400

a²=225

\sqrt{a {}^{2} }  =  \sqrt{225}

therefore a=15

6 0
2 years ago
2. Consider the circle x² + y2 = 1, given in figure. Let OP makes an angle 30° with the x axis.
PolarNik [594]

The equation of the tangent line to the circle passing through the point P is; y = (1/√3)x ± 2/√3

<h3>How to find the equation of the tangent?</h3>

I) We are given the equation of the circle as;

x² + y² = 1

Since angle of inclination is 30°, then slope is;

m = tan 30 = 1/√3

Then equation of the tangent will be;

y = (1/√3)x + c

Put  (√3)x + c into the given circle equation to get;

x² + ((1/√3)x + c)² = 1

x² + ¹/₃x² +  (2/√3)cx + c² = 1

⁴/₃x² +  (2/√3)x + (c² - 1) = 0

Since we need to find value of c for equation to become tangent, then the above quadratic equation must have real and equal roots.

Thus;

((2/√3)c)² - 4(⁴/₃)(c² - 1) = 0

⁴/₃c² - ¹⁶/₃(c² - 1) = 0

⁴/₃c² - ¹⁶/₃c² + ¹⁶/₃ = 0

4c² = ¹⁶/₃

c² = ⁴/₃

c = √⁴/₃

c = ±²/√3

Thus, equation of tangent is;

y = (1/√3)x ± 2/√3

II) Radius from the given equation is 1. Thus, we will use trigonometric ratio to find the x and y intercept;

x-intercept is at y = 0;

0 = (1/√3)x ± 2/√3

-(1/√3)x = ±2/√3

Intercept is positive. Thus;

x = (2/√3)/(1/√3)

x = 1

y - intercept is positive at x = 0;

y = (1/√3)0 ± 2/√3

y = 2/√3

Read more about Equation of tangent at; brainly.com/question/17040970

#SPJ1

6 0
1 year ago
What set of values is apart of the solution set to the inequality 3.5p+14&gt;7p
aalyn [17]

Answer:

q

Step-by-step explanation:

5 0
3 years ago
If m 24 is 53°, what is the m26?
hodyreva [135]

Answer:

m∠8 = 49°

Step-by-step explanation:

∠7 and ∠8 are same-side interior angles.

Remember, same-side interior angles are supplementary. This means that the sum of the angles is 180°.

Let's use the variable 'x' to represent the unknown measure of angle ∠8.

131 +x=180

131-131=0 (cancels itself out)

180-131=49

x=49

Therefore, the measure of ∠8 is 49°.

4 0
2 years ago
The graph of quadratic function f(x) has a minimum at (-2,- 3 and passes through the point (2, 13). The functio
Nadusha1986 [10]

Answer:

Step-by-step explanation:

hello :  

the vertex -form of quadratic function f(x) is : f(x) = a(x+b)²+c

the vertex : (- b , c )  

means : (-2,-3)   so :  -b = -2   and  c = - 3      so  :  b =2  and  c = -3

f(x) = a(x+2)²-3

calculate : a  

the graph  passes through the point (2, 13) : f(2)=13

means : a(2+2)²-3 = 13

16a - = 13

16a = 16   so : a = 1

f(x) is represented by the equation f(x) = (x+2)²-3

The graph of  f(x) color red  and g(x) blue

is the y-intercept when g(x) greater g(x) than f(x) is when x=0  so : y = 6

8 0
3 years ago
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