Find the area of the figure. If you need to use Pi in your computation, approximate its value as 3.14.
Rectangle topped by a semicircle

a.
130.24 sq. in.
b.
105.12 sq. in.
c.
83.14 sq. in.
d.
180.48 sq. in.

Answer:

6%

Step-by-step explanation:

[tex]\frac{213590 - 201500}{201500} = \frac{12090}{201500} = 6[/tex]

The percentage profit Emma makes. if, Emma buys a house for £201 500, and She sells the house for £213 590 is 6%.

As it is clear from the term per cent means measuring anything per hundred. For example, you get marks per 100 marks, so you get the percentage.

Given:

Emma buys a house for £201 500,

She sells the house for £213 590,

Calculate the profit as shown below,

Profit = Selling price of the house - Cost of house

Profit = 213 590 - 201 500

Profit = £12090

Calculate the percentage profit as shown below,

The percentage profit = Profit / Cost of house  × 100

The percentage profit = 12090 / 201500 × 100

The percentage profit = 0.06 × 100

The percentage profit = 6%

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Answer:

-n-2

Step-by-step explanation:

First, you need to distribute the 2 on the -2n and -1. So multiply the 2 by -2n and -1. You get = -4n-2.

You still have the 3n, so the equation will now look like: 3n-4n-2.

Combine like terms. 3n-4n= -1n or just -n.

Now you have -n-2.

Answer:

Pennies = 80

Nickels = 160

Step-by-step explanation:

Two equations representing the relation between numbers of pennies and nickels have been given.

0.01p + 0.05n = 8.80 ---------(1)

n = 2p -----(2)

By substituting the value of n from equation (2) in equation (1).

0.01p + 0.05(2p) = 8.80

0.01p + 0.1p = 8.80

0.11p = 8.80

p = [tex]\frac{8.8}{0.11}[/tex]

p = 80

By equation (2)

n = 2×80

n = 160

Answer:

t=d/r

Step-by-step explanation:

d=rt we take r to d

which is t=d/r

Answer: $210000

Step-by-step explanation:

2:5:5:7

you add the numbers that are in the ratio

2+5+5+7= 19

Then you divide each four of the profits by the total profit

2/19 x 570000 = $60000

5/19 x 570000 = $150000

7/19 x 570000 = $210000

Therefore the largest amount of profit recieved by one of the four partners is $210000

Answer:

the right answer is the third one

Answer:

its the second one

Step-by-step explanation:

took the test

Answer:

31r-71

Step-by-step explanation:

=> 6(5r-11)-(5-r)

=> 30r-66-5+r

=> 30r+r-66-5

=> 31r-71

Answer:

B

Step-by-step explanation:

6(5r-11) - (5 - r)

Expand.

30r-66 - 5 + r

Rearrange.

30r + r - 66 - 5

31r - 66 - 5

Factor negative sign.

31r - (66+5)

Add.

31r - (71)

Answer:

(−8x+1)(x+2)

Step-by-step explanation:

Factor −8x2−15x+2

−8x2−15x+2

=(−8x+1)(x+2)

Answer:

Step-by-step explanation:

This question is incomplete because it lacks the appropriate options

Complete Question

Fifteen percent of the students at Central High take Spanish, 12% take French, and 4% take both. If a student is selected at random, what is the

probability that the student takes Spanish or French?

A 31%

B. 27%

C. 23%

D. 19%

Answer:

C. 23%

Step-by-step explanation:

At Central High

From the question, we are told that:

Spanish = 15%

French = 12%

Spanish and French = 4%

French or Spanish = unknown

Therefore, the probability that a student at random takes Spanish or French

= P(Spanish) + P(French) - P(Spanish and French)

= 15% + 12% - 4%

= 27% - 4%

= 23%

Answer: No solution

Both tables have slope 2 (y increases two for every increase of 1 in x).  First has y intercept 5, second 15  (19=2(2)+b).  So our system is

y = 2x + 5

y = 2x + 15

Those are parallel lines, which never meet, so no solution.

Answer:

The answer is 30

Step-by-step explanation:

It is 30 because if there is 75 and the total needs to be 105 then you have to add 30+75+105! Thats the answer.

I got it right! :)

The CBD angle is 30 degrees. 

An angle is formed when two straight lines or rays meet at a common endpoint.

Given that the measure of angle ABD is 105º and the measure of angle ABC is 75º.

According to the given figure, the relation between angles is given by

angle ABD = angle ABC + angle CBD

Let x be the angle CBD then

105 = 75 + x

i.e  x = 105 - 75 = 30

Hence the angle CBD is 30°.

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Answer:

Interest =$360

Balance =$960

Step-by-step explanation:

Interest = Principal *Rate * Time

             = [tex]\frac{600 * 6 * 10}{100}[/tex]

             = $360

∴ The balance will be $600 + 360 = $960

Answer:

the answer is $960

Step-by-step explanation:

Answer: 2.11cm

Step-by-step explanation:

Given the following :

The lengths of the parallel sides are (2z + 3) cm and (6z – 1) cm

The area of trapezoid is calculated using the formula:

1/2(a + b) × h

Where ;

a = Length of side 1

b = length of side 2

h = height

Take a = (2z + 3) and b = (6z – 1), h = z

Therefore ;

1/2 (2z + 3 + 6z - 1) × z

Opening the bracket

(z + 1.5 + 3z - 0.5) × z

(4z + 1 ) × z = 20cm^2

4z^2 + z = 20cm^2

Using Quadratic formula:

4z^2 + z - 20 = 0

a = 4, b = 1, c = - 20

(-b±√b^2 -4ac) / 2a

Z = 2.11 or - 2.364

z cannot be negative, therefore,

Z = 2.11 cm

Answer:

the answer is D

Step-by-step explanation:

Answer:

0.0000805

Step-by-step explanation:

[tex]8.05*10^{-5}=\frac{8.05}{10^{5}}\\\\=\frac{8.05}{100,000}\\[/tex]

= 0.0000805

Answer:

A

Step-by-step explanation:

Just did the assignment

Answer:

i believe it is B.

I could be wrong, D is my second choice. but since (left to right) its decreasing, im 89% sure it is B 1/9.

Answer:

smaller x = -2

larger x = 4

vertex: (1, -9)

Step-by-step explanation:

To find the zeros of the function, set each value in parenthesis to 0 separately.

Smaller x:

(x+2) = 0

x = -2

Larger x:

(x-4) = 0

x = 4

To find the vertex of the parabola you need to find the x value between the zeros.

[tex]\frac{4 + (-2)}{2}[/tex] = [tex]\frac{2}{2}[/tex] = 1

Plug 1 in for x in the equation.

f(x) = ((1) + 2)((1) - 4)

f(x) = (3)(-3)

f(x) = -9

When x = 1, f(x) = -9, so the vertex of the parabola is at (1, -9).

Answer:

X

Step-by-step explanation:

Answer:

your anwser is 7.74596669241

Answer:

[tex]\sqrt{60} = 7.74596669241[/tex]

Step-by-step explanation:

Answer: 1/12

Step-by-step explanation:

Your outcome, 2H, divided by the total size of the output set. Thus gives you probability 1/12

Multiply the probability of Heads P(x=H | coin) = 1/2 . The probability of 2 P(x=2 | Die) = 1/6. Multiply 1/2(1/6) = 1/12.

Answer:

5/12

Step-by-step explanation:

khan

Answer: 16 questions

Step-by-step explanation:

To find how many problems the student correctly answered on the test, we can turn 80% into a fraction.

[tex]\frac{80}{100} =\frac{16}{20}[/tex]

The student answered 16 questions correctly.

The value of (0.3)^4 is 0.0081.

Unless you mean 0.3*4, then it is 1.2.

Answer:

Solution,

Radius=3 ft

Height=9 ft

Volume of cone=?

Now,

[tex]volume \: of \: cone \\ = \frac{1}{2}\pi \: {r}^{2} h \\ = \frac{1}{2} \times 3.14 \times {3}^{2} \times 9 \\ = \frac{1}{2} \times 3.14 \times 9 \times 9 \\ = 84.78 \: {ft}^{3} [/tex]

hope this helps...

Good luck on your assignment

Answer:

V = 84.82 ft³

Step-by-step explanation:

Volume of Cone = [tex]\pi r^2\frac{h}{3}[/tex]

Where r = 3, h = 9

=> V = [tex](3.14)(3)^2(\frac{9}{3} )[/tex]

=> V = (3.14)(9)(3)

=> V = 84.82 ft³

Answer:

The measure of angle P is 43°

Step-by-step explanation:

If a quadrilateral is inscribed inside a circle, the sum of opposite angles are always equal to 180 degrees.

The angle POR is opposite to the angle PQR, and the angle OPQ is opposite to the angle ORQ.

So we have that:

mOPQ + mORQ = 180°

y + 3y + 8 = 180

4y = 172

y = 43°

So the measure of angle P is 43°.

Answer: 41,200 minutes

Step-by-step explanation: 412 x 100 is 41,200, so she need 41,200 minutes  to comeplete the 100-mile drive.

Answer:

yes

Step-by-step explanation:

its called an isoceles triangle

Answer:

no

Step-by-step explanation:

The third side must be less than the sum of the other two sides

5+5> the third side

10 > third side

Since the third side is 10 we cannot build a triangle

Hey!!!

MAD stands for Mean Absolute Deviation.

Explanation:

Mean Absolute Deviation (MAD) of a data set is the average distance between each data value and the mean.

Hope it helps..

Good luck on your assignment

Answer:

(MAD) is an abbreviation of mean absolute deviation.