What is the perimeter of the shape?
4 cm
3 cm
3 cm
4 cm

Answer:

n^2 - 5n - 24

Step-by-step explanation:

You can use FOIL to multiply the binomials.

FOIL stands for the 4 products you need to caclulate when multuiplying 2 binomials. It just reminds you todo the 4 needed multiplications.

F - first terms

O - outside terms

I - inside terms

L - last terms

                         F         O        I           L

(n - 8)(n + 3) = n * n + 3 * n - 8 * n - 8 * 3

Now we simplify the products and collect like terms.

= n^2 + 3n - 8n - 24

= n^2 - 5n - 24

Answer:

Yes, it is a rational number

Step-by-step explanation:

A rational number is any integer, fraction, terminating decimal, or repeating decimal.

Answer:

Step-by-step explanation:

3. sin^2A + cos^2A = 1  (formula )

1 + tan^2 theta = sec^2 theta  (derived from the formula sec^2 theta - tan^2 theta )

b.2x = 12 (by comparing the corresponding element)

x = 12/2

x = 6

3y = 12 (by comparing the corresponding element)

y = 12/3

y = 4

mean = sum of data / no of data

4+7+5+9+11+6 / 6

42 / 6

7

mean = 7

to find median arrange the data from ascending to descending order (from smallest to biggest)

data = 3,4,6,8,10,12

median = (N +1)/2   (N means no of data )

=6 + 1/2

=7/2

=3.5

=3 th term + 4 th term /2

=6 +8 / 2

=14/2

=7 median = 7

to find value of theta

90° + 50° + theta = 180° (sum of interior angles of a triangle)

140° + theta = 180°

theta = 180° - 140°

theta = 40°

therefore theta = 40°

Hope this helps u !!

Answer:

75%

Step-by-step explanation:

There are 8sections. Each section carries 12.5%. There are two red sections which carries 12.5*2=25%. Hence the chance is 75%.

Answer:

the length of adjacent =√25²-24²=√49=7

sin 0 = 24/25

cos 0 = 7/25

tan 0 = 24/7

Answer:

About 1.09 kilograms of cashews.

Step-by-step explanation:

You would add the peanuts and almonds together and subtract by the total.

Answer:

Set 2

Step-by-step explanation:

First find the median of each set (the median being the number in the middle):

(1) { 4,7,10,13,16} = 10

(2) {8,9,10,18,19} = 10

(3) {8,9,10,11,12} = 10

(4) {1,2,10,11, 12} = 10

Then find the mean of each set (the mean being average of all the numbers, to find the average add up all the numbers and divide by the amount of numbers):

(1) { 4,7,10,13,16} = 10

(2) {8,9,10,18,19} = 12.8

(3) {8,9,10,11,12} = 10

(4) {1,2,10,11, 12} = 7.2

the answer being 12.8 since 12.8 is greater than 10

(4) {1,2,10,11, 12}

Answer:

Solution given:

1:

{ 4,7,10,13,16}

n=5

median={n+1)/2th term=6/2=3th term=10

mean=sum/n={ 4+7+10+13+16}/{5}=10

(2)

{8,9,10,18,19}

n=5

median={n+1)/2th term=6/2=3th term=10

mean=sum/n={8+9+10+18+19}/{5}=12.8

3) {8,9,10,11,12}

n=5

median={n+1)/2th term=6/2=3th term=10

mean=sum/n={8+9+10+11+12}/{5}=10

(4) {1,2,10,11, 12}

n=5

median={n+1)/2th term=6/2=3th term=10

mean=sum/n={1+2+10+11+13}/{5}=7.4

In above

1: mean=median

2:mean>median

3:mean=median

4:mean<median

so median is greater than mean is in 4th one.

(4) {1,2,10,11, 12}

Answer:

about 3 years

Step-by-step explanation:

Using the compound interest formula;

A = P(1+r)^t

Given

Amount A == $2400

Principal P = $1200

rate = 24.77% = 0.2477

Substitute the given values

2400 = 1200(1+0.2477)^t

2400/1200 = (1+0.2477)^t

2 = (1+0.2477)^t

ln 2 = tln1.2477

t = ln2/ln1.2477

t = 3.13

Hence it will take about 3 years  until Brad owes the  credit card company $2,400

Answer:

divide is the right and exact antonym(opposite word) from multiply according to maths.

Step-by-step explanation:

this is 100% correct!

Answer:

divide

hope this helps you.

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Very sry to tell that I really don't know it...

Answer:

b

Step-by-step explanation:

Answer:

b......................

Step-by-step explanation:

.

Answer:

11, take 22 and divide by 2 because radius is half

Step-by-step explanation:

hope this helps

Answer:

r = 11 ft

Step-by-step explanation:

The radius is 1/2 of the diameter

r = 1/2 (d)

r= 1/2 (22)

r = 11 ft

Answer:

The correct graph answer is A.

Step-by-step explanation:

Let

c ----> the total cost to rent a set of hand tools

h ----> the number of hours for the rental

we know that

The linear equation that represent the problem is equal to

---> this is the equation of the line into slope intercept form

where

the slope m is equal to

m=$2 per hour

b=$2 ---> the y-intercept (the value of c when the value of h is equal to zero)

therefore

The correct graph is A.

B. C. and D. are incorrect

Answer:

Step-by-step explanation:

We can use a proportion to solve this problem

26.5 : 100 = x : 7600

x = (26.5 * 7600)/100 = $2014 (increase in dollars)

Year - end amount = 7600 + 2014 = $9614

Answer: C. Region C

Step-by-step explanation: Done on edge! Hope this helps!

the area of the cylinder is 500 cm

Answer:

Angle 5 (corresponding angle)

Answer:

B.

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

2 is the slope, it's going up 2, and right 1 which is 2/1 or just 2

Hope this helps

Answer:

x = 8

Step-by-step explanation:

Factor:

7x - 3x = 4x

24 + 8 = 32

32 ÷ 4 = 8

---------------------------------------------------------------------------------------------------------------

Double check:

56 - 24 - 8 = 24

---------------------------------------------------------------------------------------------------------------

Have a great summer :)

Answer:

x = 33 / 4

Given :-

7x - 3x -9 = 24

We have to find

The value of x .

Step-by-step explanation:

Let's begin:-

7x - 3x -9 = 24

Step 1 :- Combine like terms.

4x - 9 = 24.

Step 2 :- Move constant to the right-hand and change their sign.

4x = 24 + 9.

Step 3 :- Add 24 and 9.

4x = 33

Step 4 :- Divide both side by 4.

4x / 4 = 33 / 4

Hence, x = 33 / 4

Answer:

m anglw ABD answers is 50 degree

Answer:

Interest is the cost of borrowing money, and the money you earn from your savings.

Interest rates indicate this cost or return as a percentage of the amount you are borrowing or lending (since you are “lending” your savings to the bank)

#keep learning!!

Step-by-step explanation:

the answer is 6 ft and all my workings are in the image above

Given:

Ratio of the side lengths of two similar rectangular prisms is [tex]\dfrac{3}{5}[/tex].

To find:

The ratio of their areas.

Solution:

If two figures are similar then their areas are proportional to the squares of their corresponding sides.

[tex]\dfrac{A_1}{A_2}=\dfrac{s_1^2}{s_2^2}[/tex]

[tex]\dfrac{A_1}{A_2}=\left(\dfrac{s_1}{s_2}\right)^2[/tex]           ...(i)

Where, [tex]A_1,A_2[/tex] are areas and [tex]s_1,s_2[/tex] are corresponding sides.

It is given that ratio of the side lengths of two similar rectangular prisms is [tex]\dfrac{3}{5}[/tex]. It means, [tex]\dfrac{s_1}{s_2}=\dfrac{3}{5}[/tex].

Using (i), we get

[tex]\dfrac{A_1}{A_2}=\left(\dfrac{3}{5}\right)^2[/tex]

[tex]\dfrac{A_1}{A_2}=\dfrac{3^2}{5^2}[/tex]

[tex]\dfrac{A_1}{A_2}=\dfrac{9}{25}[/tex]

Therefore, the ratio of their areas is [tex]\dfrac{9}{25}[/tex]. It is also written as 9:25.

Answer:

Each angle measures 44°.

Step-by-step explanation:

Answer:

44°

Step-by-step explanation:

180-92=88

Answer:

runner 1 runs with 9 miles / hour

runner 2 runs with 7 miles / hour

Step-by-step explanation:

x = speed of runner 1

y = speed of runner 2

2 hours × (x miles / hour) - 2 hours × (y miles / hour) = 4 miles

2x - 2y = 4

x - y = 2

x = y + 2

1 hour × (x miles / hour) + 1 hour × (y miles / hour) = 16

x + y = 16

y + 2 + y = 16

2y + 2 = 16

2y = 14

y = 7 miles / hour

x = y + 2 = 9 miles / hour

Answer:

Đáp án B

Step-by-step explanat

B1:X ét VT=15x +35(1)

B2Xét VP thấy 15x +35 (2)

B3 KL

Answer:

$106,426.01

Step-by-step explanation:

Use the compound amount equation A = P(1 + r)^t and take as your answer the total amount after 5 years.  Here the principal is $75,000, the interest rate is 0.0725 and the number of years (t) is 5:

A = $75,000(1 + 0.0725)^5, or

A  =  $75,000(1.0725)^5, or

A  =  $106,426.01

Answer:

$434,907.04 or $435,179.37 depending on your teacher's rounding.

Step-by-step explanation:

The rent for the first year is given as $75,250.

For the second year, the rent will increase by 7.25%, so the rent will be:

$75250 + 0.0725 ($75,250) = $80,705.63

Using the calculation for the previous year, continue the formula.

The rent increases by 7.25% for the third year, so:

$80,705.63 + 0.0725 ($80,705.63) = $86,556.79

Fourth Year:

$86556.79 + 0.0735 (86556.79) = $92,918.71

Fifth Year:

92918.71 + 0.0735 (92918.71) = 99748.24

Add these all together to get the final rent after the 5 year lease:

75,250 + 80.705.63 + 86,556.79 + 92,918,71 + 99,748.24 = 435,179.37