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Over [174]
3 years ago
14

GET NAMED BRAINLIEST AND ANSWER THE RIGHT ANSWER AND GET A THANKS AND GET 30 POINTS

Mathematics
1 answer:
Inessa [10]3 years ago
3 0

Answer:

#i. π = 10/d

#ii. C/30=π

Step-by-step explanation:

#a. We are given;

  • The circumference of a circle as 10 cm

We are required to show how the relationship between the circumference  and the diameter can be used to find π.

we know that the circumference of a circle is given by;

Circumference = πd

But, circumference is 10 cm

Therefore;

10 cm = πd

Dividing both sides by d, then;

π = 10/d

#b. we are given;

We are given;

Radius of a circle = 15

We are supposed to express the ratio of circumference to the diameter;

We need to know that;

Diameter = 2 × radius

                = 2r

Circumference = πd or

                         = 2πr

Therefore, the ratio of circumference to the diameter will be;

C=2πr

d=2r

C/d = π

  But d =30

Thus; C/30 =π

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Solve for x 3x-3>x+7
Sever21 [200]

Answer:

x>5

Step-by-step explanation:

6 0
3 years ago
john and emily meet at a circle park. emily runs around the entire park. john runs from one edge to the other, straight through
nlexa [21]
Okay so john ran the diameter on the park
emily ran the circumference
πd = the circumference
therefore emily ran further
4 0
2 years ago
Read 2 more answers
PLEASE HELP ME I NEED HELP ASAP!!!! PLEASE HELP ON A AND B
valina [46]

Answer:

<h2>a) x = 16 and y = 6</h2><h2>b) P = 864 in</h2>

Step-by-step explanation:

a)

The opposite sides of the rectangle are of equal length.

Therefore we have the system of equations:

\left\{\begin{array}{ccc}3y=2+x&\text{subtract 2 from both sides}\\3x=2+x+5y&\text{subtract x from both sides}\end{array}\right\\\\\left\{\begin{array}{ccc}3y-2=x&(*)\\2x=2+5y&(**)\end{array}\right

Substitute from (*) to (**):

2(3y-2)=2+5y\qquad\text{use distributive property}\\\\(2)(3y)+(2)(-2)=2+5y\\\\6y-4=2+5y\qquad\text{add 4 to both sides}\\\\6y=6+5y\qquad\text{subtract 5y from both sides}\\\\\boxed{y=6}

Put the value of y to (*):

x=3(6)-2\\\\x=18-2\\\\\boxed{x=16}

b)

Calculate the width and the length:

3x = 3(16) = 48\\\\3y = 3(6) = 18

The perimeter:

P = 2w + 2l\\\\P = (48)(18)=864\ in

8 0
3 years ago
The tangent line to y= f(x) at (4,-6) passes through the point (10,9) Compute the following, f(4) and f'(4)
Anni [7]
The solution to your problem is as follows:

The tangent line passes through (4,-6), so x = 4 when y = -6 

=> f(4) = -6 

The tangent line will have a constant gradient. 

gradient is m = (-6 - 9)/(4 - 10) => 5/2

Equation is y - 9 = (5/2)(x - 10) 

=> y - 9 = (5/2)(x-10) 

<span>i.e. y = (5/2)(x-10) + 9 
</span>      y = (5/2)x - 25 + 9 =   y = (5/2)x - 16

Now, f '(x) = dy/dx = 5/2

so, f '(4) = 5/2....i.e. gradient is 5/2 whatever the value of x. 


I hope my answer has come to your help. Thank you for posting your question here in Brainly.

3 0
3 years ago
Please help asap!!!!! i need to know what co-ordinate to draw shape b on
d1i1m1o1n [39]
Its kinda the same as the A just in the negative
5 0
3 years ago
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