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Andrej [43]
3 years ago
5

what is the circumference and area of a circle with a radius of 4 meters? round your answer to the nearest tenth.

Mathematics
1 answer:
sattari [20]3 years ago
4 0
C=2pir
a=pir^2

r=4
c=2pi4=8pi m
a=pir^2=pi4^2=16pi m^2


circumference=8pi meters
area=16pi square meters
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A large purple bowl contains 5 blue marbles and 3 pink marbles. What is the probability a blue marble is drawn, replaced, and a
Blizzard [7]

Answer:

\frac{25}{64}

Step-by-step explanation:

Blue Marbles =5

Pink Marbles =3

Total =3+5=8

Probability of drawing two marbles with replacement

=P(First Blue Marble AND Second Blue Marble)

=P(First Blue Marble) X P(Second Blue Marble)

=\frac{5}{8}X \frac{5}{8}\\\\=\frac{25}{64}

3 0
2 years ago
1.) What is the equation of the path of firework #1? Write your equation in general form.
valina [46]

1. I'm assumig that the paths are perfect parabolas

this means that their general forms can be written in y=ax^2+bx+c

it's easier to find vertex form first then expand to get general form

vertex form is y=a(x-h)^2+k where the vertex is (h,k) and a is a constant


firework #1

vertex is (10,50), so (h,k)=(10,50) and h=10, k=50

h_1=a(t-10)^2+50

to find the value of a, subsitute another point

(0,0)

0=a(0-10)^2+50)

0=100a+50

a=\frac{-1}{2}

so the equation in vertex form is h_1=\frac{-1}{2}(t-10)^2+50

expand to get general form

h_1=\frac{-1}{2}(t^2-20t+100)+50

h_1=\frac{-1}{2}t^2+10t-50+50

h_1=\frac{-1}{2}t^2+10t





2.

same as last time

vertex is (10,72) so (h,k)=(10,72) so h=10 and k=72

equation is h_2=a(t-10)^2+72

find a

use another point

(0,22)

22=a(0-10)^2+72

22=100a+72

-50=100a

a=\frac{-1}{2}

so the equation in vertex form is h_2=\frac{-1}{2}(t-10)^2+72




3.

range is the numbers that h is allowed to be

think about what h represents. it represents the height of the rocket

from the graph, we can see that the lowest possible height is 0yd and the highest height is 50yd

so range is 0 to 50 or 0≤h≤50


domain is the numbers that t is allowed to be

think about what t represents. it represents how long the rocket has been flying

it will stop flying when it hits the ground or at t=20

it starts flying at t=0

so domain is from 0 to 20 or 0≤t≤20

3 0
3 years ago
What is the value of x?<br> 33<br> 65<br> C=?
loris [4]

Answer:

56

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Exprees 24,36 as sum of two odd prime number​
swat32

Answer:

see explanation

Step-by-step explanation:

The set of the first few prime numbers are

2,  3,  7,  11,  13,  17,  19,  23 ...............

Considering the odd primes, then

24 = 7 + 17

36 = 13 + 23

8 0
3 years ago
Name a point that is √2 away from (-1,5)
Paha777 [63]

All the points on the circle

(x+1)^2 + (y-5)^2 = 2

6 0
2 years ago
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