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Stella [2.4K]
3 years ago
9

If i just completed my daily Mindkeeper five-kilometer training run, how many meters did I run

Mathematics
1 answer:
galina1969 [7]3 years ago
5 0

Answer:

5000

Step-by-step explanation:

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Dally has a discount card that reduces the price of her grocery bill in a certain grocery store by 5%. If c represents the cost
creativ13 [48]
C is the cost of groceries.

if there is 5% discount, then the current price = 100% - 5% = 95%

= 95%  of c

= (95/100) * c

= 0.95c 
5 0
3 years ago
Evaluate your expression for m =12
Feliz [49]

There's no way for me to do that, because my expression
is totally blank, and doesn't involve ' m ' in any way.

But if you'll come back and give us <u>your</u> expression, I'll
evaluate it for m=12, and I'll also show you how.


3 0
3 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 is the correct answer?
FinnZ [79.3K]

Answer:

i

Step-by-step explanation:

dontkow

5 0
3 years ago
Qhat is 3 groupps of 1/8
iragen [17]

Answer: 3/8ths

Step-by-step explanation: 1/8+1/8+1/8=3/8

4 0
2 years ago
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