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sweet [91]
3 years ago
5

(50 points to answer 3 questions)

Mathematics
1 answer:
snow_tiger [21]3 years ago
5 0

Answer:

y = −55x + 275

The initial value is 5

Mike's distance from home when he begins cycling

Step-by-step explanation:

The equation of a line is

y= mx+b where m is the slope and b is the y intercept

The y intercept is 275

Two points are (0,275) and (5,0)

The slope is (y2-y1)/(x2-x1) = (0-275)/(5-0) = -275/5 =-55

y = -55x+275

The initial value is when x = 0

When x = 0 , y = 5

y = 12-2x

Rewriting

y = -2x+12

This is in the form y = mx +b where the slope is -2 and the y intercept is 12

12 is the initial value or when x = 0.  It would be the distance that he needs to cover.  He needs to go from the library to his house.

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1.The diameter of a circle is 20m. Find the circumference to the nearest tenth
Temka [501]

Answer:

62.8

Step-by-step explanation:

The formula for circumference is 2(pi)r

Let's plug in the values.

Well, we know the diameter, and since the radius is 1/2 the diameter, but then you multiply by 2 again, you don't have to change anything. Therefore, another formula is (pi)<em>d</em>

3.14 x 20

= 62.8 is your answer. And the answer is already rounded to the nearest tenth, so nothing is left to do!

<em>Hope this helps!</em>

3 0
3 years ago
Urgent, please i will give brainliest
Ne4ueva [31]

Answer:

1. \frac{\sqrt{13} }{3}

2. 3.2362

3. \frac{60}{11}

Step-by-step explanation:

1.

Cot is the trigonometric ratio defined by "adjacent" over "opposite". <em>So, adjacent = 2 and opposite = 3.</em>

By pythagorean theorem, we have the "hypotenuse" as  \sqrt{2^2+3^2}=\sqrt{13}

Csc is defined as the trig ratio "hypotenuse" over "opposite". <em>We know the sides, so Csc \theta = \frac{\sqrt{13} }{3}</em>

<em />

<em>First answer choice is right.</em>

<em />

2.

By definition, Csc \theta is the inverse of Sine \theta. <em>If given the value of sin theta, to find value of csc theta, we take the reciprocal of it. Hence:</em>

Csc\theta=\frac{1}{0.3090}\\=3.2362

Third answer choice is right.

3.

By definition tan and cot are inverse of each other. <em>So the value of tan is the reciprocal of the value of cot.</em> We can simply "flip" the value of tan theta to get the value of cot theta. Hence:

Cot\theta=\frac{60}{11}

Third answer is right.

3 0
3 years ago
Read 2 more answers
What is 10 times as much as 0.7.
weeeeeb [17]
The answer is 7
10•0.7= 7
6 0
3 years ago
Find the measure of the angle indicated in bold. Plus the theorem.
liberstina [14]
Consecutive interior theorem

X+96+96+x= 180
2x+192=180
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X=-6
7 0
3 years ago
Choose two values, a and b, each between 8 and 15. Show how to use the identity a^3+b^3=(a+b)(a^2-ab+b^2) to calculate the sum o
qaws [65]

Answer:

Step-by-step explanation:

a = 8

b  = 10

a^3 =8^3 = 512

b^3= 10^3 =1000

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a^2 = 64

-ab = - 80

b^2 = 100

a + b=18

(a + b) (64 -  80+ 100)

18 * (84)

1512'

5 0
3 years ago
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