Find the length of the side x in simplest radical form with a rational denominator.

Answer:

52.5 square millimeters.

Step-by-step explanation:

Area of a Trapezoid = (a+b/2)h

= (9+12/2)•5

=(21/2) • 5

= 10.5 • 5

= 52.5 square millimeters

hope this helps!

Answer:

52.5 mm^2 (square millimeters)

Step-by-step explanation:

Just split the figure into two sections to make a rectangle, and a right triangle (This whole figure can be thought of as a composite figure)

Once that is done, you will notice that the length and width of the rectangle is 9mm by 5mm, and the triangle is 3mm by 5mm (because 12mm - 9mm is 3 mm, and the height of the triangle is shared with the width of the rectangle).

The area of a triangle is 1/2(base×height) [just as a triangle is half of a rectangle], so the area of the rectangle is (length × width).

Therefore the 9mm by 5mm rectangle has an area of 9×5 mm = 45 mm^2, and the 3mm by 5mm triangle has an area of 1/2(5×3) = 15/2 = 7.5 mm^2.

Add both areas to find the total area:

45mm^2 + 7.5mm^2 = 52.5 mm^2.

____________________________

Or using the formula for the area of a trapezoid: A = h (b1 + b2) / 2

Where A is the area, b1 is the first base, b2 is the second base, and h is the height of the figure.

Given that our first base is 9, second base is 12, and our height is 5.

A = h ( b1 + b2 ) / 2 → A = 5 ( 9 + 12 ) / 2 → 5 ( 21 ) / 2 → 105 / 2 → 52.5

Then just put this quantity in mm^2 because it is the area of the figure in that unit.

→ 52.5 mm^2

_____________________________

Answer:

-13

Step-by-step explanation:

see if good

Answer:

63

Step-by-step explanation:

Answer:

Definitely

since the definition of a terminating decimal is one that has an ending, and a Repeating decimal is one that never ends.

Step-by-step explanation:

100% = $420,000

3.5% = 3.5/100 × 420,000

= $ 14,700

Commission he earned = $14,700

Annual total earnings= $50,000 + $14,700

= $ 64,700

Answer:

14,500

Step-by-step explanation:

Answer:

6 hundreds

1 tens

0 ones

4 tenths

7 hundredths

Answer:

34 - 25 = 9

Step-by-step explanation:

Answer:

$1.12

Step-by-step explanation:

When you multiply 8/7 of 56, you get 64.

This shows that you will need 64 paperclips to make 56 inches worth of paper clips. If each paper clip costs two cents, you need to multiply 56 paperclips by 2 cents. 56x0.02=1.12 so it will cost you 1 dollar and twelve cents

Answer:

b

Step-by-step explanation:

The amount of money Janet earns per hour is given by the slope of the line m = $ 7.50

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given data ,

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P ( 4 , 30 )

Let the second point be Q ( 8 , 60 )

Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = amount of money Janet earns per hour

So , slope m = ( 60 - 30 ) / ( 8 - 4 )

On simplifying , we get

The amount of money Janet earns per hour = 30/4

The amount of money Janet earns per hour = $ 7.50

Hence , the amount of money Janet earns = slope = $ 7.50

To learn more about equation of line click :

https://brainly.com/question/14200719

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Answer:

175

Step-by-step explanation:

7 times 25=175

Answer:

A. The height of the ball is the same after 1 second and 3 seconds.

Step-by-step explanation:

The quadratic equation function modeling is used to analyze the relationship between variables in the equation. If the ball is at height and t is time then the ball is on symmetric line which will move for initial 1 second then stabilizes at 3 seconds.

Answer: -18x-6

Step-by-step explanation:

You're just multiplying the number outside of the parenthesis (-3) by the coefficients (number by X) and the constants (numbers without a variable by them).

-3 x 6 = -18

-3 x 2 = -6

(+ -6 can be written as -6)

Answer:

<MSDBEF

Step-by-step explanation:

vqswdhbjfknhbdncdsujhc,f,jfd.sjbdvkjzsfnvb;krjbsv

Answer:

1. 14.91

2. 173.48

3.100.86

Step-by-step explanation:

all the answers are rounded to the nearest hundredth place, i believe.

Answer:

0.375 or 3/8

Step-by-step explanation:

calculator :)

Answer:

There are 7 ten-dollar bills and 16 five-dollar bills.

Step-by-step explanation:

Let's call:

T: Number of ten-dollar bills

F: Number of five-dollar bills

The amount of money withdrawn from the ATM is $150:

10T+5F=150

Dividing by 5:

[tex]2T+F=30\qquad\qquad [1][/tex]

We also know there are two more than twice as many five-dollar bills as there are ten-dollar bills:

[tex]F=2+2T\qquad\qquad [2][/tex]

Substituting [2] into [1]:

2T+2T+2=30

Rearranging:

2T+2T=30-2

Simplifying:

4T=28

Solving:

T=28/4=7

From [2]:

F=2+2*7=2+14=16

There are 7 ten-dollar bills and 16 five-dollar bills.

Answer:

21

Step-by-step explanation:

When multipling fractions you go straight across so, all you have to do in the furture is multiply the demonators, anyways all i had to was 3x7 which is 21. Hope this helps and have a wonderful day!

Answer:

21

Step-by-step explanation:

2/3+4/7= 8/21

the top number is the numerator and the bottom number is the denominator.

Answer:

10 hundredths

Step-by-step explanation:

One-tenth equals 0.1 and one-hundredth equals 0.01, which means that hundredth equals 10 hundredths.

Answer:

3032

Step-by-step explanation:

379 x 8 = 3032

use math, also box method

im only in 6th grade

Step-by-step explanation:

Answer:

5(2c+5)

I hope this helps

Answer:

$2.88

Step-by-step explanation:

0.48×6=2.88

os the right answer

Answer:

9600/60 minutes = 9600/ 360 seconds = 26

Keep practicing :)

Step-by-step explanation:

Answer:

9.6

Step-by-step explanation:

The reason is because you divide this number by 1,000 which gives you 9.6

9600 divided by 1,000= 9.6

Answer:

(-15)

Step-by-step explanation:

10-25 = (-15)

Please follow me and mark as brainliest

Answer:

1.5625

Step-by-step explanation:

100 divided by 4 is 25. 25 divided by 4 is 6.25 and 6.25 divided by 4 is 1.5625

Answer:

1.5625

This is what I think is the answer

Given:

[tex]f(x)=4x^3-5x^2-3x+2[/tex]

[tex]g(x)=x-3[/tex]

To find:

The remainder when f(x) is divided by g(x).

Solution:

According to remainder theorem, if f(x) is divides by (x-c), then remainder is f(c).

Using remainder theorem, if [tex]f(x)=4x^3-5x^2-3x+2[/tex] is divides by [tex]g(x)=x-3[/tex], then remainder is f(3).

Substitute x=3 in f(x).

[tex]f(3)=4(3)^3-5(3)^2-3(3)+2[/tex]

[tex]f(3)=4(27)-5(9)-9+2[/tex]

[tex]f(3)=108-45-7[/tex]

[tex]f(3)=56[/tex]

Therefore, the required remainder is 56.

Answer:

4 2/3

lmk if this is correct or not

Step-by-step explanation:

5x-7-3-2x=12

5x-4-2x=12

3x-2=12

3x=14

14/3

x=4.666 or 4 and 2/3