A briefcase in the shape of a rectangular prism has a height of 10 cm and a volume of 4,875 Centimeters cubed. What is the area of the base of the briefcase?
243.75 centimeters squared
487.5 centimeters squared
2,437.5 centimeters squared
4,865 centimeters squared

Answer:

4 unit cubes

Step-by-step explanation:

Answer:

Exact: 2sqrt(5)

Approximate: 4.472

Step-by-step explanation:

The side of the square is the hypotenuse of a right triangle with legs of lengths 2 and 4.

c^2 = a^2 + b^2

c^2 = 2^2 + 4^2

c^2 = 4 + 16

c^2 = 20

c = sqrt(20)

c = sqrt(4 * 5)

c = 2sqrt(5) = 4.472

Answer:

7x=84

divide by 7

12=x

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

We are looking for the value of x. To find this, we must isolate x on one side. To do this, we can divide by 7 on both sides, leaving us with x=12.

Answer: 751 points

Step-by-step explanation:

454 + 297 = 751

Answer:

751

Step-by-step explanation:

-297 + 454 = 751

Easier way of doing this is rounding 297 to 300 and doing 454 + 300, and subtracting 3.

Answer:

m= -1

Step-by-step explanation:

hope this helps :)

Answer:

Step-by-step explanation:

[tex]slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{2-6}{1-[-3]}\\\\=\frac{-4}{1+3}\\\\=\frac{-4}{4}\\\\=-1[/tex]

Answer:

D

Step-by-step explanation:

It would 75:100

We then can simplify that by dividing by 5 so we get

15:20

Answer: 15:20

Step-by-step explanation:

75% tables are used out of 100%

The ratio will be 75:100 = 15:20

Answer:

Step-by-step explanation:

D=5^2-4*(-7)*2

D=25+56

D=81

two real rational solutions, since 81 is a perfect square

Answer:

1/4

Step-by-step explanation:

Each term is a fourth of the term before.

So, each term is the previous term multiplied by 1/4

Answer:

1/4

Step-by-step explanation:

Answer:

m = 1 and c = 3

Step-by-step explanation:

y = mx + c

so comparing with y = x + 3

m = 1 ( since there isn't any co-efficient of x)  and c = 3

Answer:

Liz

Step-by-step explanation:

lets make all speeds ft/1sec

Ron 8ft/1sec

Liz 104ft/7sec : 104/7=

14.8571428571 ft/1 sec

Katie

1 mile = 5280ft

5280ft/526sec

5280/526=

10.0380228137ft/1 sec

Emily,

1 min= 60 sec

835ft/60 sec

835/60=

13.9166666667 ft/sec

now, lets order from least to greatest

R:8ft/1sec, K:10.0380228137ft/1 sec,

E:13.9166666667 ft/sec, L:14.8571428571 ft/1 sec

Liz's speed is fastest

Answer:

D

Step-by-step explanation:

-6x=4y-32

x=(2(2y-16))/-6

x=(2y-16)/-3

x=(-2/3)*y+16/3

solve for y:

-2((-2/3)*y+16/3)+7y=6

(4/3)y+21/3y+(-32/3)=18/3

(25/3)y=(18+32)/3

(25/3)y=50/3

25y=50

y = 2

solve for x:

-6x - 4y = -32

-6x - 8 = -32

-6x = -24

x = 4

answer: (4, 2)

Answer:

39,000

Step-by-step explanation:

$25x30=$750

$750x52=$39000

Answer:

idk what an e2020 is ....... education2020?????? and i cant give out my number bc ppl  can see here on brainly

Answer:

Step-by-step explanation:

[tex]\frac{a}{b} =\frac{c}{d}[/tex]

another way to write the equality of the two ratios is :

a : b = c : d

as you can see in the equality a : b = c : d

Answer:

tanB

Step-by-step explanation:

In the picture attached, the question is shown.

By definition:

tan(β) = opposite/adjacent

From the picture, for angle B the opposite side measure 8 units and the adjacent side measures 15 units. Replacing into the equation:

tan(B) = 8/15

Answer: x=7

Step-by-step explanation:since the diagonal line divides the angle into half, and it’s a square, so the angle would be 90 degree /2 = 45 degree.

so 4x+17 = 45, 4x = 28, x = 7

Answer: 33

Step-by-step explanation:

First we have to figure out what 3⁵ is. It basically means multiply 3 five times. So the equation would be 3 x 3 x 3 x 3 x 3. This equals to 243.

Next we have to figure out what  3⁶ is. It basically means multiply 3 six times. So the equation would be 3 x 3 x 3 x 3 x 3 x 3. This equals to 729.

Then we have to divide 243 by 729. The easiest way to do this is by putting it into a fraction. The fraction would be 243 over 729. When you simplify that fraction, it brings us to the answer, which is 33.

Hope this helped :)

The value of  [tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex]  is 177147.

We have -   [tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex]

We have to find its quotient.

You can simplify the expression as follows -

[tex]\frac{a^{n} }{a^{m} }= a^{n-m}[/tex]

According to the question, we have -

[tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex]  

Using the rule mentioned above, we can solve this as -

[tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex]  = [tex]\frac{3^{5} }{3^{-6} }[/tex] = [tex]3^{5-(-6)} = 3^{11}[/tex]

Expanding [tex]3^{11}[/tex] = 177147

Hence, the value of  [tex]3^{5}[/tex] ÷ [tex]3^{-6}[/tex]  is 177147.

To solve more questions on exponents, visit the link below -

https://brainly.com/question/15531260

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Answer:

2a + 3c = 29

Step-by-step explanation:

2a + 3c =

= 2×4 + 3×7

= 8 + 21

= 29

Answer:

It will be in the 3rd quadrant.

Step-by-step explanation:

Hope that helps!

Answer:

The rotated figure appears in the 3rd quadrant

Step-by-step explanation:

To visualize a problem can sometimes be challenging.

It usually helps to make a sketch of the situation, to get a "feel" it of what is happening.

Supose a little cube is placed on the x axis, in quadrant 1, starting at ( 1. 0), and with size 1 unit.

Corner coordinates are therefore:

A =( 1, 0)

B =( 2, 0)

C =( 2, 1)

D =( 1, 1)

Rotate for 180 degrees about the origen (EXTRA: a ounterclockwise rotation over 180° is exactly the same as a clockwise rotation over 180°).

The new coordinates are:

A' =(-1, 0)

B' =(-2, 0)

C' =(-2 -1)

D' =(-1, -1)

These are all in third quadrant.

Therefore, the rotated figure appears in the 3rd quadrant

Answer:

-1/24

Step-by-step explanation:

-7/8 - (-5/6)

Subtracting a negative is like adding

-7/8 + 5/6

Get a common denominator

-7/8 * 6/6    + 5/6 *8/8

-42/48 + 40/46

-2/48

-1/24

_______________________________

Hey!!

Solution,

Area of a square field=6084m^2

Length(l)=?

Now,

Area of square=l^2

or, 6084=l^2

or,L=√6084

L= 78

So the length of each side of a square field is 78 m.

Hope it helps...

Good luck on your assignment

________________________________

Answer:

A = 2 (on the left). 10 (on the right)

Step-by-step explanation:

Use pythgaros therom

Do 7^2 - 3^2 = 40

Do square root of 40 which equals the answer

The company's profit in the year 2003 is $3.1 million

Profit is stated as the amount of revenue generated after deduction of all the liabilities. Profit is the money you have left after paying for business expenses. There are three main types of profit: gross profit, operating and net profit.

Given that,

in the year 2000 profit = $2.2 million

Each year increase in profit = 13% =0.13

Total number of year = 2003-2000=3 years

Profit is denoted by

profit = initial profit ( 1 + each year increase)^years

Substituting the values we get

profit=2.2( 1 + 0.13)³

=2.2( 1.13)³

=3.174373

=3.1 million

Therefor , the company's profit in the year 2003 is $3.1 million

Learn more about Profit here

brainly.com/question/19161495

#SPJ7

Answer: Its C

Step-by-step explanation: I got it right

Answer:

10

Step-by-step explanation:

Human:

✧･ﾟ: *✧･ﾟ:*  Answer:  *:･ﾟ✧*:･ﾟ✧

✅ D.) 6.3.7.9. 9.5, 8.3, 8.1, 9.0, 6.7.8.6, 9.1, 8.4, 8.1, 6.9. 8.3, 9.2

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Answer:

z = 10°

Step-by-step explanation:

Since the two sides are equal, the two base angles have to be equal

That means that 5z and 130 form a straight line and add to 180 degrees

5z+130 = 180

Subtract 130 from each side

5z = 50

Divide by 5

5z/5 = 50/5

z=10

Answer:

p = 50°.

Step-by-step explanation:

To find the value of 'p', we will need to solve for the measure of the other angles of the triangle using the Supplementary Angles theorem.

Notice 140° at the top of the figure. This angle is supplementary to the top angle of the triangle. We can find this angle by:

180 - 140 = 40°.

Repeat this same step for the other angle.

180 - 90 = 90°.

Since the sum of all 3 sides = 180, we must subtract these from 180 to get the measure of 'p'.

180 - 90 - 40 = 50°.

Therefore, p = 50°.

Answer:

True

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Did it on edge2020

Answer:

A

Step-by-step explanation:

The angles in a quadrilateral add up to 360 degrees.

100 + 87 + 106= 293

360 - 293 = 67

The missing angle is 67°.  (A)

EVERY quadrilateral has four inside angles that add up to 360°.  It doesn't matter whether the quadrilateral is the size of a strep bacterium or the size of a galaxy. The inside angles always add up to 360°. It's a quadrilateral thing.

In this question, the first three angles add up to (100°+87°+106°) = 293°.

From there, it takes 67° more to get to 360°, so that's what the fourth angle has to be.

Answer:

its D

Step-by-step explanation:

Just did the test. Goodluck

Answer:

d

Step-by-step explanation: