MGSE8.G.8: Graph and label triangle PQR whose
vertices are located at P(-5, 2), Q(7,-3), R(7, 2).
Determine the length of each side and show work
to justify your answers.

Answer:

Given pentagon

Sum of interior angles:

Sum of exterior angles is same for any polygon:

Given hexagon

Sum of interior angles:

Sum of interior angles of a given hexagon:

Answer:

If you slice a rectangular pyramid parallel to the base, you get a smaller rectangle as the cross-section.

Answer:

A rectangle

Step-by-step explanation:

A cross section parallel to the base of a pyramid will be a similar shape as the base of the pyramid.  In this case, a rectangle.

Answer:

FV= $2,407.53

Step-by-step explanation:

Giving the following information:

Present Value (PV)= 1,300

Interest rate (i)= 4.5% = 0.045

Number of periods (n)= 14 years

To calculate the future value (FV) of the initial investment after 14 years, we need to use the following formula:

FV= PV*(1 + i)^n

FV= 1,300*(1.045^14)

FV= $2,407.53

9514 1404 393

Answer:

  (a) 38.3 m horizontal distance

  (b) 82.1 m high

Step-by-step explanation:

I like a graphical solution to this problem (attached).

__

If you define h as the horizontal distance to the tower, and t as its height, you can write two equations. Since these sides are adjacent and opposite the given angles, the tangent relationship is useful.

  tan(65°) = t/h

  tan(40°) = (t -50)/h

__

Multiplying both equations by h and substituting for t, we have ...

  h·tan(40°) = h·tan(65°) -50

  h = 50/(tan(65°) -tan(40°)) . . . . solve for h

  h ≈ 38.3022

Then the tower height is ...

  t = h·tan(65°) ≈ 82.1394

The tower is about 38.3 m distant and 82.1 m high.

Answer:

Its 7.333333333333333333  (3 forever)

First you isolate y onto one side of the equation

y/9= 44/54  -->  y = 9 x 44/54

Multiply the right side of the equation

9 x 44/54 = 396/54

Now divide to get the whole answer

396/54 = 7.3333333333 (3 forever)

y = 7.333333

Answer:

He gave 46 to Tom

Step-by-step explanation:

He started is 51 notebooks- 15 + 17 + 19 = 51

He then gave some away until he only had 5 left 51 - 5 = 46

He gave 46 to Tom

Answer:

400 grams

Step-by-step explanation:

If the equation is density = mass / volume, fill it out to find mass

10 = x / 40

400 = x

x = 400 g

Answer:

2 miles

Step-by-step explanation:

Given that :

Distance from home to store and back = 1/2 mile

In a week :

Number of times he walked from home to store and back = 1 time

Number of times she rode to store and back = 3 time

Note distance does not change whether she rode or walked:

Hence,

miles walked = 1/2 miles * 1 = 1/2 miles

Miles biked = 1/2 miles * 3 = 3/2 miles

Total Number of miles :

(1/2 + 3/2) = (1 + 3) /2 = 4/2 = 2 miles

Answer:

x = 11, -1

Step-by-step explanation:

First, let's identify what the quadratic formula is:

x = [-b ± √(b² - 4(a)(c))] / 2

Our equation is written in standard form:

ax² + bx + c = 0

x² - 10x - 11 = 0

Let's plug in what we know.

x = [-(-10) ± √((-10)² - 4(1)(-11))] / 2

Evaluate the exponent.

x = [-(-10) ± √(100 - 4(1)(-11))] / 2

Simplify the negatives.

x = [10 ± √(100 - 4(1)(-11))] / 2

Multiply.

x = [10 ± √(100 + 44)] / 2

Simplify the parentheses.

x = [10 ± √(144)] / 2

Simplify the radical (√)

x = [10 ± 12] / 2

Evaluate the ±.

x = [10 + 12] / 2

x = [22] / 2

x = 11

or

x = [10 - 12] / 2

x = [-2] / 2

x = -1

Your answers are x = 11, -1

Hope this helps!

14x + 8 = 22. Okay, so first you want to subtract 8 from itself and 22. Once you did that you should get 14x = 14. Now, you need to divide 14 from both sides. 14/14 = 1. Meaning that x = 1. To check your answer, replace the x values with 1 and solve. 14 X 1 + 8 does equal 22.

its 1

Answer:

12/13

Step-by-step explanation:

Pythagorean theorem to find the leg opposite from the angle, x^2+5^2=13^2

x^2+25=169

x^2=144

x=12

sin(x)=12/13

Answer:

x=68

Step-by-step explanation:

let y equal the vertical angles

49+55+ y= 180

y=76

vertical angles are equal

35+76+x=180

x=68

Answer:

Step-by-step explanation:

8x^3 - 12x^2 - 2x + 3

4x^2(2x - 3) - 1( 2x - 3)

(4x^2 - 1)(2x - 3)

(2x - 1)(2x + 1)(2x - 3)

Answer:

[tex](2x - 1)(2x + 1)(2x - 3) \\ [/tex]

Step-by-step explanation:

[tex]8 {x}^{3} - 12 {x}^{2} - 2x + 3 \\ 4 {x}^{2} (2x - 3) - 1(2x - 3) \\ (4 {x}^{2} - 1)(2x - 3) \\ ( {2}^{2} {x}^{2} - {1}^{2} )(2x - 3) \\ (2x - 1)(2x + 1)(2x - 3)[/tex]

hope this helps you

can I have the brainliest please?

ANSWER: the amount an individual earns after subtracting all expenses, taxes and costs.

Step-by-step explanation:

[tex] \sin(30) = \frac{y}{6} \\ y = 6 \times \sin(30) = 3[/tex]

Answer:

32/3 cubic

Step-by-step explanation:

D.32/3

32/3=32:2= D.8 units

Answer:

728 km / lit

Step-by-step explanation:

kilometers per liter = kilometers / liters

k/l = 484848 / 666

kilometers per liter = 728

Answer: The answer is 8 kilometers

Step-by-step explanation:

khanacademy

Answer:37 1/2

Step-by-step explanation:

You need to undo the volume and then find the surface area. you need to find the thing before the volume byy eversing S^3 then you do the foumla to get 37 1/2

Answer:

4) 6(x+3y)

5) 3b(a+c)

6) 6a(x−2y)

7) 6a(a−2)

8) 7x(x−4)

9) 5x(3x+5y)

Step-by-step explanation:

6x+18y

you find what goes into that number

for example 6 goes into 18, 3 times

so you can keep the 6

next you put the x and plus stays the same

as we said before 6 goes into 18, 3 times so we put the 3 and y next

so this is the equation

6(x+3y)

6 times x = 6x

6 times 3 = 18

y and plus stay the same

brackets shows that your timesing the numbers

i hope this makes sence tried my best not to waffle :)

Answer:

3.75 cm³

Step-by-step explanation:

Each cube has equal sides of 1/2 cm

Length of the rectangular prism = 1/2 cm * 5

= 2.5 cm

Width of the rectangular prism = 1/2 cm * 2

= 1 cm

Height of the rectangular prism = 1/2 cm × 3

= 1.5 cm

Volume of the rectangular prism = length × width × height

= 2.5 cm * 1 cm * 1.5 cm

= 3.75 cm³

Volume of the rectangular prism = 3.75 cm³

Answer:

1

Step-by-step explanation:

the gradient is a value that indicates how much the x value increases as the y value increases. It can be written as

rise/run

or

change in  y value/change in x value

or

(y1-y2)/(x1-x2), where we know two coordinates (x1,y1) and (x2,y2).

We have two coordinates (0,0) and (3,3)

Therefore,

x1 = 0, y1 = 0

x2 = 3, y2 = 3

If we plug these values into the formula, it is [tex]\frac{3-0}{3-0} = \frac{3}{3} = 1[/tex]

Answer:

There are 245 expected defective chips in the batch

Step-by-step explanation:

From the question, we have that in a batch of computer chips, it is expected that a third is defective

Now, in this present batch, there are 735 chips

The number of defective chips is a third of this

Thus, we have the number of defective chips as;

1/3 * 735 = 245 chips

Answer:

Step-by-step explanation:

Here are some steps to help you

Step 1

(2p^3 · 2p)^2  We are gonna be simplifying

(4p^4)^2

Step 2

(4p^4)(4p^4)

16p^8

So therefore your answer would be 16p^8

Hope this helps

Answer:

4) A) cuttings

5) B) pollinated

9) C) heredity

Step-by-step explanation:

Answer:

1) A.

2) B.

3) C.

I hope this helps.

Please mark me the Brainliest!

Answer: This means that the population increased a 20% between the year 2000 and the year 2010.

Step-by-step explanation:

In this case, we have that 25,000 is the 100%.

Now we want to know which percentage represents 30,000

Let's suppose that the percentage is X.

Then we can have a system of equations:

30,000 = X

25,000 = 100%

To find the value of X, we can take the quotient of these two equations:

30,000/25,000 = X/100%

(30,00/25,000)*100% = X = 120%

Then in the 2000 we had a 100%, and in the 2010 there was a 120%.

The difference is:

120% - 100% = 20%

This means that the population increased a 20% between the year 2000 and the year 2010.