- 2u + 6v = 9 write a formula for h(v) in terms of v<br><br> Plzzzz help I need it

Find the circumference and the area of a circle with radius 3 m.

Effectus [21]

Answer:

$\boxed {c= 18.84 \ m}$

$\boxed {a=28.26 \ m^2}$

Step-by-step explanation:

We are asked to find the circumference and area of a circle with a radius of 3 meters.

<h3>1. Circumference </h3>

The circumference is the perimeter of a circle. It is calculated using the following formula:

$c= \pi d$

We know the radius of the circle is 3 meters, but we must find the radius. The radius is the line from the center to the circle's edge, while the diameter is the line through the center from edge to edge. Therefore, the diameter is twice the radius.

d= 2 r
d= 2 * 3 m
d= 6 m

The diameter is 6 meters and we are using 3.14 for pi. Substitute these values into the circumference formula.

$c= (3.14)(6 \ m )$

Multiply.

$\bold {c= 18.84 \ m}$

The area is the size of the circle's surface. It is calculated using the following formula.

$a= \pi r^2$

The radius is 3 meters are we are using 3.14 for pi. Substitute these values into the area formula.

$a= (3.14)(3 \ m)^2$

Solve the exponent.

(3 m)² = (3 m)(3 m)= 9 m²

$a= (3.14)(9 \ m)^2$

$\bold {a=28.26 \ m^2}$

The circumference is 18.84 meters and the area is 28.26 square meters.

6 0

3 years ago

If Mark gets 150 free miles, how many miles will he be charged for with these two odometer readings: 29,582 and 30,283?

lapo4ka [179]

He will be charged for 551 miles.

30283-29582=701 miles traveled in the rental vehicle.

150 of those miles are free; 701-150 = 551 miles he will be charged for.

8 0

3 years ago

Read 2 more answers

Calculate the sum of the multiples of 4 from 0 to 1000

allochka39001 [22]

Answer:

sum is 125,500

sum in summation notation is $\sum\limits_{n=0}^n a+nd$ = (2a+(n-1)d)n/2

Step-by-step explanation:

This problem can be solved using concept of arithmetic progression.

The sum of n term terms in arithmetic progression is given by

sum = (2a+(n-1)d)n/2

where

a is the first term

d is the common difference of arithmetic progression

_____________________________________________________

in the problem

series is multiple of 4 starting from 4 ending at 1000

so series will look like

series: 0,4,8,12,16..................1000

a is first term so

here a is 0

lets find d the common difference

common difference is given by nth term - (n-1)th term

lets take nth term as 8

so (n-1)th term = 4

Thus,

d = 8-4 = 4

d can also be seen 4 intuitively as series is multiple of four.

_____________________________________________

let calculate value of n

we have last term as 1000

Nth term can be described

Nth term = 0+(n-1)d

1000 = (n-1)4

=> 1000 = 4n -4

=> 1000 + 4= 4n

=> n = 1004/4 = 251

_____________________________________

now we have

n = 1000

a = 0

d = 4

so we can calculate sum of the series by using formula given above

sum = (2a+(n-1)d)n/2

= (2*0 + (251-1)4)251/2

= (250*4)251/2

= 1000*251/2 = 500*251 = 125,500

Thus, sum is 125,500

sum in summation notation is $\sum\limits_{n=0}^n a+nd$ = (2a+(n-1)d)n/2

3 0

3 years ago

Rena wrote all the integers from 1 to 12. <br><br> How many numbers did she write?

Aleksandr [31]

Answer:

15

integers from 1 to 9 have only one number each, so in total 9 numbers. integers from 10 to 12 have 2 numbers each, 3*2=6. 9+6=15

7 0

3 years ago

Read 2 more answers

1)The price of a sweater was slashed from #960 to $816 by a shopkeeper in the winter season. Find the rate of discount given by

Annette [7]

Answer:

The discount% is 15%

Step-by-step explanation:

Given : The price of a sweater was slashed from Rs 960 to Rs 816 by a shopkeeper in the winter season.

To find : The rate of discount given by him?

Solution :

According to question,

The market price of the sweater is Rs.960

The selling price of the sweater is Rs.816

The discount on the sweater is given bY

Discount % is given by

Therefore, The discount% is 15%.

8 0

3 years ago

- 2u + 6v = 9 write a formula for h(v) in terms of v Plzzzz help I need it