Plz Help!
On the coordinate plane shown, each grid unit represents 10 feet. Polygon QRST has vertices Q(20, 10), R(−20, 10), S(−20, −20), and T(20, −20), and represents the floor plan of a room. Find the perimeter and area of the room.

Answers

Answer 1

Answer:

P  140 units

A  1200 units^2

Step-by-step explanation:

The length of the rectangle is 20 to -20 = 20 - -20 = 40 units

The width of the rectangle is 20 to -10 = 20 - -10 = 30 units

The perimeter is given by

P = 2 ( l+w) = 2 (40+30) = 2 (70) = 140 units

The area is given by

A = lw = 40*30 = 1200 units^2


Related Questions

A peregrine falcon dives for prey. Its elevation changes
by an average of -11.5 meters every second. The dive
lasts for 3.2 seconds. What is the change in the falcon's
elevation? What does this mean in the context of the
problem? Show your work​

Answers

11.5 x 3.2 = 36.8m

-36.8 meters change in elevation

What is the volume of this rectangular prism?

Answers

Answer:

volume = 5/8 cm^3

Step-by-step explanation:

v=lwh

(5/2)(1/3)(3/4)=15/24=5/8

Therefore, volume = 5/8 cm^3

I hope this helped and have a good rest of your day!

What is the value of x in the equation below?

40x + 120 = 720

21

18

15

12.5

Answers

Answer:

The answer would be 15.

Step-by-step explanation:

The first thing that you have to do is subtract 120 on both sides

40x + 120 = 720

        -120     -120

40x = 600

Then you have to divide by 40.

40x= 600

600 ÷ 40 = 15

x = 15.

I hope I helped

Answer:

15

Step-by-step explanation:

40×15=600+120=720

A company is trying to calculate the amount of
concrete that will be needed to create one concrete
block that is in the form below.
The concrete block is a rectangular prism with two
cubes cut out. The cubes have a side length of 6
inches.
What is the total volume, cubic feet, of concrete
needed to make this block?

Answers

Answer:

[tex]0.19\,\,cubic\,\,feet[/tex]

Step-by-step explanation:

Given:

The concrete block is a rectangular prism with two  cubes cut out. The cubes have a side length of 6  inches.

To find: total volume, cubic feet, of concrete  needed to make this block

Solution:

Side of cube = 6 inches

Volume of cube = [tex](side)^3=6^3=216\,\,cubic\,\,inches[/tex]

So, volume of two cubes = 2(216) = 432 cubic inches

Length of rectangular prism = 12 inches

Breadth of rectangular prism = 8 inches

Height of rectangular prism = 8 inches

Volume of rectangular prism = length × breadth × height = [tex]12(8)(8)=768 \,\,cubic\,\, inches[/tex]

Total volume of concrete  needed to make this block = Volume of rectangular prism - Volume of two cubes = 768 - 432 = 336 cubic inches = [tex]\frac{336}{1728} =0.19\,\,cubic\,\,feet[/tex]

( use 1 cubic inch = [tex]\frac{1}{1728} \,\,feet[/tex])

A circle has a radius of 6ft. What is the area of the sector formed by a central angle measuring 300 degrees

Answers

Answer:

30π  ft^2 which is 94.25 ft^2 to the nearest hundredth.

Step-by-step explanation:

The area of the full circle is π * 6^2

= 36π  so:

the area of the 300 degrees sector = 300 * 36 π  / 360

= 30 π

Find the area of the shaded region.

Express the area in factored form.

Answers

Answer:

(x-1)(x+3)

Step-by-step explanation:

The area of the big green rectangle is just x(x+2) which is [tex]x^2+2x[/tex]. (Excluding the interior rectangle) The shaded area is just this minus three which is [tex]x^2+2x-3[/tex]. In factored form this is (x-1)(x+3).

Hope this helps!

The radius of a circle is 1 millimeter. What is the circle's area?

Answers

Answer:

The circle's area is pi

Step-by-step explanation:

A=πr2=π·12≈3.14159...

solve for x 3x-3>x+7

Answers

Answer:

x>5

Step-by-step explanation:

:
Which is the solution to –7x > 49?

Answers

X < -7
Hope I could help

Answer:

x < -7

Step-by-step explanation:

[tex]-7x>49\\\\\frac{-7x}{-7}>\frac{49}{-7} \leftarrow \text {Division Property of Equality}\\\boxed{x < -7} \leftarrow \text {The symbol switches every time we multiply or divide by a negative in a inequality.}[/tex]

Do You Know How?
Write an equation in Slope Intercept Form.
12. Given a Slope of -3 and a Y-Intercept of 8.

Answers

Answer:

y = -3x +8

Step-by-step explanation:

The slope intercept form intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

The slope is -3 and the intercept is 8

y = -3x +8

Answer: y= -3x+8

Step-by-step explanation:

Using the formula y=Mx+b

can someone plz help me with i don't understand it at allll

Calculating Vacation Costs

Situation:

Imagine that you’ve just won the coveted “Most Likely to Succeed in Math” award! Your prize is $4,500.00, which must be applied to a vacation. You will be provided a list of choices. You, a parent/guardian, and two others will be traveling by car, and you must plan all the expenses for your trip without exceeding $4,500.00.

Special Considerations:

• Do not include costs for souvenirs or extras. These items do not get deducted from the prize money.
• Travel and lodging must be calculated for a round trip.

• You may need two hotel rooms, such as one for girls and one for boys, so make sure to consider who is in the group. All boys or all girls can stay in one room.
• You have various choices and options. Choose what will give you an outstanding vacation.
• You may remain on vacation as long as the prize money is available.

• You must pay all expenses of the group of 4.

• Calculate costs on this sheet.

• Be sure to total costs.

Answers

Answer:

i don't understand

Step-by-step explanation:

Different forms of a quadratic function can be easier to use
than others. Each form has its own advantages, depending on
the kind of information that's needed for a given purpose.
• Design a chart, flow chart, mind map, or some other
visual to help you organize the information that can
easily be determined about the graph of a parabola
when the function is written in vertex form, standard
form, and factored form.
• Post your visual to the discussion board for other
students.

Answers

Whats the rest?

I need an answer

What will be the new coordinates of point B if the red triangle is reflected over the y.Axis

Answers

Answer:

(-4, 5)

Step-by-step explanation:

(-4, 5) are the correct coordinates of point B after reflecting the figure over the y-axis.

PLEASE ANSWER. I will mark as brainliest for fist correct answer.

Answers

Step-by-step explanation:

If the total worth of the roll is 50 cents, we know that there are 50 pennies in the roll, and therefore the roll has a height of 50 * 1.52 = 76 mm. The radius of a penny is half its diameter, or 19.05 / 2 = 9.525.

We can find its volume with the formula (πr²) * h, where r and h are the radius and height respectively, and we can approximate 3.14 for π. Plugging these in, we have (3.14 * (9.525)²) * 76 ≈ 2160.8 mm³. Hope this helps!

Answer:

  21,661.7 mm³

Step-by-step explanation:

The formula for the volume of a cylinder is ...

  V = πr²h

Here, we're given the diameter as 19.05 mm, so the radius is ...

  r = 19.05 mm / 2 = 9.525 mm

The thickness of one penny is 1.52 mm, but there are 50 of them in the roll. So the total height of this cylinder is ...

  h = (1.52 mm)(50) = 76 mm

__

Using these numbers for radius and height in the volume formula, we find the volume of the roll of pennies to be ...

  V = π(9.525 mm)²(76 mm) = 21,661.7 mm³

The approximate volume of the roll of pennies is 21,661.7 mm³.

HELP ASAP WILL MARK BRAINLIEST
IF YOU DONT KNOW DONT ANSWER

Answers

Answer:

y is 10 degrees the pink one

y = 10

Hope This helps :D

If you save $3,000 at an interest rate of 14 percent per year, how much will you have at the end of six years? The interest should be compounded. A. $5,805.96 B. $6,502.34 C. $6,584.91

Answers

Answer:

C.) $6,584.91

Step-by-step explanation:

Amount earned in compound interest = P(1 + r)^n;

where P is the principal,

r is the rate and n is the number of periods.

Amount = 3,000(1 + 14%)^6 = 3,000(1 + 0.14)^6 = 3,000(1.14)^6 = $6,584.91

Answer:

C) 6584.91

Step-by-step explanation:

plato

Pls someone help me

Answers

A, and B and that’s in order.

What is the area of shape in d use square blocks as the unit

Answers

Answer:

24 square blocks

Step-by-step explanation:

The graph shows the rate that Tom travels
on his bicycle, with the line traveling through
the point (5,45)
Use this graph to answer questions 1 and 2.
What is the constant of proportionality in the graph?​

Answers

Answer:

The constant of proportionality is 9.

Step-by-step explanation:

k=y/x     This is the formula.

k=45/5   Plug in the x and y coordinates of a point on the line (5,45).

k=9         Here's your answer!

please help. I am getting in trouble so please try to be correct...
What is the approximate area of the congruent orange right triangles?


A. 17 in2
B. 31 in2
C. 33 in2
D. 51 in2

Answers

Answer: The answer is A 17in2

Step-by-step explanation:

In the question it states that the triangles are congruent (both the same).

  first I found the area of the top orange triangle.

the formula to find the area of a triangle is [tex]\frac{1}{2} bh[/tex] (base times Height).

so I did  [tex]\frac{1}{2} 3.23* 5.12[/tex]  which gave me 8.27.

Since the triangles are congruent (the same) they would both have the same area along with base and height. so I multiplied 8.27 by 2 (because there are two triangles) and got 16.54 which rounds up to 17.

the question also stated to find the APPROXIMATE area (close to the actual, but not completely accurate or exact.)

Answer:

A. 17 in2

Step-by-step explanation:

have a good day ^_^

A rectangular prism has a length of 12 feet, a height of 13 feet, and a width of 8 feet. What is its volume, in cubic feet?

Answers

Answer:

1248 cubic feet

What is the height of the pole?
top
O 12 ft
O 125 ft
O 18 ft
O 182 ft

Answers

The Answer is A

Hope this helps

How would you factor 6a - 15​

Answers

3(2a-5). To factor something out it mean to put it in a form that you can get the lowest numbers out. So what number goes in to both numbers 3. So there you go.

Below is the data of ages at the local amusement park on a certain day.


17, 18, 17, 17, 20, 22, 17, 18, 13, 14, 19, 14, 13, 33, 31, 8, 9, 10, 8, 8, 16, 17, 19, 35, 29, 8, 10, 15, 17, 30, 29, 5, 9, 10, 15, 14



Provide the intervals and frequencies you would use to construct the histogram for this data set.

Answers

Answer:

39

Step-by-step explanation:

To find the intervals you will need to find the lowest and highest numbers, in this case, it would be 1 and 35.  A general rule would be 5-7 intervals, I will use 5.

Here are the intervals with the number of people that were in each:

1-7 (9)

8-14 (14)

15-21 (8)

22-28 (3)

29-35 (5)

14+9+8+3+5=39

I need help with this math problem please

Answers

Answer:

x=12

Step-by-step explanation:

90 = x + 42 + 3x

48 = x + 3x

48 = 4x

12 = x

Answer:

x = 12

Step-by-step explanation:

Since we are given a right angle, we can say that:

sum of all angles = 90 degrees

x + 42 + 3x = 90

4x = 48

x = 12

So, x is equal to 12 degrees!

Hope this helps)))  ^‿^

Hunter decides to invest $840,000 in a period annuity that earns a 4.2% APR,
compounded monthly, for a period of 30 years. How much money will Hunter
be paid each month?

Answers

Answer: $4107.74

Step-by-step explanation:

Please Answer Quick i'm in a rush please ill give brainliest!!!!!!!
The map shows the location of the houses of Dan, Joe, Lee, and Roy:

Coordinate grid shown from negative 5 to positive 5 on x-axis and negative 5 to positive 5 on y-axis. A point labeled Dan is shown on ordered pair 1, 4. A point labeled Joe is shown on ordered pair negative 3, 4. A point labeled Lee is shown on ordered pair negative 3, negative 4. A point labeled Roy is shown on ordered pair 2, negative 3.

The coordinates of the community center are (5, −1). Who has a house in the same quadrant as the community center?

Dan
Joe
Lee
Roy

Answers

Answer:

roy

Step-by-step explanation:

the y coordinate has the negative number like the community center's y.

Answer:

The answer is Lee :)

Step-by-step explanation:

both of the numbers are negatives so they both belong in 3rd quadrant

Help me out please thank you

Answers

Answer:

a. 1/11 < 1/9 < 1/8 < 1/7 < 1/5 < 1/4

b. 4/12 < 4/10 < 4/7 < 4/5

c. 3/11 < 3/9 < 3/8 < 3/7 < 3/5 < 3/4

Step-by-step explanation:

Hope this helps!!!

okay who knows there stuff good ? i failed geometry last year and were back at it plz helppp

Answers

a) 0.02 < 0.9
b) 2.93 > 2.69
c) 3.81 < 8.49

< means less than
> means greater than
= means equal to

Bye how much more coffe is in the dads mug

Answers

152. (How i got it) 6x6x6=216. 4x4x4= 64. 216-64= 152
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