Find the length of AD if the length of AB is 14 units, the length of BC is 5 units, and the length of CD is 8 units.

Answer:

10x+200[tex]\leq[/tex]375

Step-by-step explanation:

subtract 200 from both sides

10x[tex]\leq[/tex]175

divide both sides by 10

x[tex]\leq[/tex]17.5 cars

Jesse must wash atleast 17.5 cars to afford the bike.

Answer:

Step-by-step explanation:

Remark

This is actually a six sided figure. That really doesn't matter, but it's interesting to observe. It goes a long way to explaining what is going on. The trick to exterior angles is that as long as the figure is convex ( a closed figure whose lines do not cross), the exterior angles add to 360.

Once you know that, then you know that this figure must have 6 exterior angles and no matter how they are made, their total is 360.

Equation

n + n + n + n + 90 + 90 = 360          Combine like terms.

Solution

4n + 180 = 360                                 Subtract 180

4n = 360 - 180

4n = 180                                            Divide both sides by 4

4n/4 = 180/4

n = 45

Note

Not a simple problem. Thanks for posting

Answer:

-9.33 ft per second

Step-by-step explanation:

To calculate this, you just have to divide -28 by 3. When doing this, it will give the change per second or for every 1 second.

-28/3 = -9.33

Therefore, the average change in the helicopter's altitude each second is -9.33 ft.

Answer:

jasmine can make 14 cupcakes

Step-by-step explanation:

5 1/4 = 5.25

3/8 = 0.375

5.25/0.375 = 14

Answer:

44 units² or 44 units squared

There really isn't a preference of units, like inches or meters, so you can add that in.

Step-by-step explanation:

Haha, this is what we're doing in class!

Okay, so the formula for a trapezoid is A= ½ (b1+b2) h

14= b1

8= b2

Add them... You get 22. Multiply that by the height, which is 4. You should get 88. Then divide by 2. You should get 44.

Here's some helpful notes:

I hope this was helpful!

Answer:

D

Step-by-step explanation:

those angles are vertical angles so they are congruent.

Answer:

1. Greatest Common Factor

2. Fraction

3. Simplest Form

Step-by-step explanation:

Answer:

150 minutes

Step-by-step explanation:

P.S - The exact question is -

Given - This is the pond in a shape of a prism, it is completely full of

             water. Colin uses a pump to empty the pond. The level goes

             down by 20 cm in the first 30 min.

To find - Work put how many minutes Colin has to wait for the pond

               to completely empty.

Proof -

Given that,

Height of prism = 1 m

Also,

Base of the prism is trapezium and

Sides of the trapezium are 0.6 m and 1.4 m

Height of trapezium is 2 m

We know that,

Area of trapezium = [tex]\frac{1}{2}[/tex]× (sum of sides)× height

                             =  [tex]\frac{1}{2}[/tex]× (0.6 + 1.4)× 2

                             =  [tex]\frac{1}{2}[/tex]× (2)× 2

                             =  2 m²

⇒Area of trapezium = 2 m²

Now,

Volume of prism = Area of trapezium × height of prism

                          = 2 m² × 1 m

                          = 2 m³

⇒Volume of prism = 2 m³

Now,

Given that the level goes down by 20 cm in the first 30 min

We know

100 cm = 1 m

⇒1 cm = [tex]\frac{1}{100} m[/tex] = 0.01 m

⇒20 cm = 20×0.01 m = 0.2 m

⇒The level goes down by 0.2 m in the first 30 min.

Also,

we know that height of water = height of prism = 1 m

So, the remaining water left in the pond = 1 m - 0.2 m = 0.8 m

Also,

Volume of Remaining water = Area of trapezium × height

                                           = 2 m² × 0.8 m

                                           = 1.6 m³

⇒Volume of Remaining water = 1.6 m³

Now,

Volume of emptied water = Total Volume - Volume of Remaining water

                                       = 2 m³ - 1.6 m³

                                       = 0.4 m³

⇒Volume of emptied water = 0.4 m³

Now,

0.4 m³ water will be empty in 30 minutes

⇒ 1 m³ water will be empty in [tex]\frac{30}{0.4}[/tex] = 75 minutes

⇒1.6 m³ water will be empty in 1.6 × 75 = 120 minutes

∴ we get

The remaining water is empty in 120 minutes

So,

Total pond is empty in 120 + 30 minutes

⇒Total pond is empty in 150 minutes

Answer:

(c) 9

Step-by-step explanation:

You can't have a repeated x-value in a function.

8 is taken by (8, 7)

7 is taken by (7,-6)

-4 is taken by (-4, 5)

9 is the only number that is not taken by any other point yet.

Remember that for a relationship to be a function it can't have repeated x-values. However, it doesn't matter to have the same x and y values!

Hope this helped!

Answer: D

Step-by-step explanation: You need to divide the figure into 2 parts. You need to ignore 13 m And use the other numbers. Figure A is 9x3x4 and Figure B is 7x4x4 because the other 4 is at the bottom. I hope this helps. Good luck!

Answer:

Mrs Bela paid $968,65 for the oven

Step-by-step explanation:

3 of the 4 options aren't prisms

A is a cuboid

B is a cube

C is a prism

D is a pyramid

Answer:

The answer is D.

I hope this helps.

Have nice day/night!!!!(wherever you are)

Answer:

3...?

Step-by-step explanation:

1+2=3

Answer:

the answer is :)

Step-by-step explanation:

Answer:

D because the triangle has to be congruent

Answer:

the answers are

8) e. opposite sides

9) d. vertices

10) c. opposite angles

11) b. diagonals

12) a. consecutive sides

Answer:

ok

Step-by-step explanation:

Answer:

alright lol

Step-by-step explanation:

Answer:

65°

Step-by-step explanation:

From the question,

The base angle of an isoceles triangle are equal.

Let the value of the base angles = x°

Sum of angle in a triangle = 180°

⇒ x°+x°+50° = 180°

⇒ 2x°+50° = 180°

⇒ 2x° = 180°-50°

⇒ 2x° = 130°

⇒ 2x°/2 = 130/2

⇒ x° = 65°.

Hence, the size of the other angles is 65°

Answer:

b = 1/3

Step-by-step explanation:

Here, we want to solve for the value of b

From the question, we have that;

4^(3b-3) = 1/16

4^(3b-3) = 16^-1

4^(3b-3) = 4^2(-1)

4^(3b-3) = 4^-2

Since base are equal, equate the powers

3b - 3 = -2

3b = -2 + 3

3b = 1

b = 1/3

Answer:

It's 48. Heres why:

Step-by-step explanation:

Our equation, I believe, is 4[(12-8) + 2³]. We can do the operations in the parenthesis:

4[(4)+8] (12-8 = 4, and 2³ is 8). If we add 4 + 8, we get 12. Multiply 12 by 4, we get 48.

Answer:

2x+22

Step-by-step explanation:

Answer:

-5r+5

Step-by-step explanation:

-5+(-5r)+10

-5-5r+10

-5r-5+10

-5r+5

Answer:

-5r + 5

1. When there is a + in front of an expression in parenthesses, the expression remains the same.

2. Calcuate the sum

Answer:

33

Step-by-step explanation:

The pattern is y = 5x + 8.

So, plugging in 5 for x gives you y = 5(5) + 8 = 33.

Answer:

x = 18.38

Step-by-step explanation:

sin 45 = 13/x

0.7071 = 13/x

x = 18.38

Answer:

It looks like the factored form of a polynomial

Step-by-step explanation:

In unfactored form, it would be this:

2r^2 + -2r + 1