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mote1985 [20]
3 years ago
14

taylot is making a cookie cake that has a diameter of 15 in what is the area of a fourth of the cake?

Mathematics
1 answer:
vlabodo [156]3 years ago
3 0
Circle since diameter
area=pir^2
d/2=r
15/2=7.5=r
area=pi7.5^2
area=pi56.25
1/4 of that
56.25pi times 1/4=14.0625pi

answer is 14.0625pi in^2 or aprox 44.1786375 in^2
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Helpppppppppppppp !!!
Artemon [7]

Answer:

a) 8

b) 2 1/4 hours

c) 4 7/8 hours

d) 4 1/8 hours

Step-by-step explanation:

a) LCD to be used to solve this problem is calculated as the Lowest common denominator of the above mixed fractions.

We have 1 1/2 hours and 1 1/8 hours

The lowest common denominator is the denominator calculated by

Multiplying the two denominators together and dividing by the common factor of the two denominators

Hence , we have

2 × 8 = 16

The common factor of 2 and 8 = 2

LCD = 16/2 = 8

b) How long did Matt drive?

We are told that Matt drove twice as long as John

John drove for 1 1/8 hours

Hence, the number of hours that Matt drove for =2 × 1 1/8

= 2 × 9/8 = 9/4 hours = 2 1/4 hours

c) How long the Sam, John and Matt drive ?

We are told in the question that

Sam drove for 1 1/2 hours

John drove for 1 1/8 hours

Matt drove for 2 1/4 hours

We would sum up the number of hours that each of them drove.

1 1/2 + 1 1/8 + 2 1/4

The Lowest common multiple of denominators is 8

= (1 + 1 + 2)( 4 + 1 +2/8)

= 4(7/8)

= 4 7/8 hours

d) How many hours is left for Bob to drive

We are told that the entire journey = 9 hours

The number of hours Sam, John and Matt drove for has been calculated in question c as 4 7/8 hours

The number of hours Bob will drive for is calculated as

9 hours - 4 7/8 hours

= 4 1/8 hours

6 0
2 years ago
Y = -x^2 + 5<br> -x + y = 3<br> Solve algebraically pleaseee help!!!
SIZIF [17.4K]
2.37 I’m pretty sure
4 0
3 years ago
Help would be appreciated
NemiM [27]
Hello!

First you have to find the area of the space

300 * 500 = 150000

Next you have to find the space 5 people take up

5 * 5 = 25

Divide these two numbers

150000 / 25 = 6000

multiply this by the amount of people take up that space

6000 * 5 = 30000

The answer is D)30,000 people

Hope this helps!
7 0
3 years ago
Read 2 more answers
Use the slope formula to find the missing coordinate. r(0, _), s(-4, 2) m = 5
OLga [1]
Let, the missing coordinate = x
m = y2-y1 / x2-x1
5 = x - 2 / 0-(-4)
5 = x-2/4
x-2 = 5*4
x = 20 + 2
x = 22

In short, Your Answer would be 22

Hope this helps!
5 0
2 years ago
Read 2 more answers
In this problem, y = c1ex + c2eâx is a two-parameter family of solutions of the second-order DE y'' â y = 0. Find a solution of
SCORPION-xisa [38]

Answer:

y(t) = 2e^t -e^{-t}

Step-by-step explanation:

Assuming this complete problem: "In this problem,

y = c1ex + c2e−x

is a two-parameter family of solutions of the second-order DE

y'' − y = 0.

Find a solution of the second-order IVP consisting of this differential equation and the given initial conditions.

y(0) = 1,    y'(0)= 3"

Solution to the problem

For this case we have a homogenous, linear differential equation with order 2, and with the general form:

ay'' +by' +cy=0

Where a =1, b=0, c=-1

And we can rewrite the differential equation in terms y = e^{rt} like this:

[e^{rt}]'' -e^{rt}=0

And applying the second derivate we got:

r^2 e^{rt} -e^{rt}=0

We can take common factor e^{rt} and we got:

e^{rt} (r^2-1) =0

And for this case the two only possibel solutions are r=1, r=-1

And the general solution for this case is given by:

y = c_1 e^{r_1 t} + c_2 e^{r_2 t}

Replacing the roots that we found we got:

y = c_1 e^{t} +c_2 e^{-t}

Now we can find the derivates for this last espression

y' = c_1 e^t -c_2 e^{-t}

y'' = c_1 e^t +c_2 e^{-t}

From the initial conditions we have this:

y(0)=1 =c_1 e^{0} +c_2 e^{-0}= c_1 +c_2   (1)

y'(0) =3= c_1 e^{0} -c_2e^{-0}= c_1 -c_2   (2)

If we add equations (1) and (2) we got:

4 = 2c_1 , c_1 = 2

And solving for c_2 we got:

c_2=3-c_1= 3-2 = 1

So then our general solution is given by:

y(t) = 2e^t -e^{-t}

8 0
3 years ago
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