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Debora [2.8K]
3 years ago
5

Name four coplanar points

Mathematics
1 answer:
JulijaS [17]3 years ago
8 0

Answer:

Points Q, B, D, E

Step-by-step explanation:

By definition, coplanar points are points that share the same plane. In this case, the points that are on the parallelogram.

The points that are labeled inside the parallelogram are points Q, B, D, E, so they are the coplanar points.

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NEED SOMEONE TO CHECK AND TELL ME C
erik [133]
Part A:
f(x)=30(1.2)^x
f(x)=45+3x

Part B: Neighborhood A is 74.6496, so that rounds to 75 homes, and Neighborhood C is exactly 60 homes

Part C:
i would graph them in a graphing calculator, and use the functions to see where the 2 lines intersect.

The x value for when they intersect (# of years) is 3.3207883, so approx. 3.3 years for them to be equal
6 0
3 years ago
Please select the best answer from the choices provided
Lana71 [14]
<h3><u>Answer:</u></h3>

Hence, the value of z is:

20

<h3><u>Step-by-step explanation:</u></h3>

The point C is the mid point of the line segment VW.

That is it divides the line segment VW into two equal segments.

i.e. Length of segment VC= Length of line segment CW.

Also we are given that:

Length VW=61

Length VC=z+13

and Length CW=z+8

This means that:

VC+CW=VW

i.e. z+13+z+8=61

⇒ 2z+21=61

⇒ 2z=61-21

⇒ 2z=40

⇒ z=20

Hence the value of z is:

20

5 0
3 years ago
Read 2 more answers
1. Your total restaurant bill is _____. (1 point)
Lady_Fox [76]

First question:

Your total restaurant bill is the items you have purchased plus the sales tax and plus the tip (if there’s any). Sales tax is added to your purchase because this is tax imposed to the consumer and not to the buyer. The buyer is only required to collect this tax from the buyer.

Second question:

A check is a financial instrument wherein the bank is required to pay when presented or encashed to them. You just have to make sure that you have account balance to that certain bank.

Third question:

The way of payment not any more common in the most modern economies is the bartering. Both credit cards and cash are the most common way of paying for your purchases.

5 0
3 years ago
An architecture firm creates blueprints for office buildings. Last week, they produced four rectangular blueprints for four diff
Readme [11.4K]

Answer:

The order from greatest to least :

Project B > Project  A > Project  D > Project  C

Step-by-step explanation:

Project A : A 20-inch by 15-inch blueprint with a scale of 1 inch to 4 feet and a projected cost of $22,000.

Scale factor = \frac{1 inch}{4 feet}

Length of the office building on blueprint = l =20 inch

Width of the office building on blueprint = b =15 inch

Real length of the office building on blueprint = L

=\frac{1 inch}{4feet}=\frac{20 inch}{L}

L = 80 feet

Real width of the office building on blueprint = B

\frac{1 inch}{4feet}=\frac{15 inch}{B}

B = 60 feet

Area of the building = L\times B=80 ft\times 60=4800 ft^2

Cost of project = $22,000

Cost of project per square foot =\frac{\$22,000}{4800 ft^2}=4.58 \$/ft^2

Project B : A 10-inch by 8-inch blueprint with a scale of 1 inch to 8 feet and a projected cost of $25,000.

Scale factor = \frac{1 inch}{8 feet}

Length of the office building on blueprint = l =10 inch

Width of the office building on blueprint = b =8 inch

Real length of the office building on blueprint = L

=\frac{1 inch}{8feet}=\frac{10 inch}{L}

L = 80 feet

Real width of the office building on blueprint = B

\frac{1 inch}{8feet}=\frac{8 inch}{B}

B = 64 feet

Area of the building = L\times B=80 ft\times 64=5120 ft^2

Cost of project = $25,000

Cost of project per square foot =\frac{\$25,000}{5120 ft^2}=4.88 \$/ft^2

Project C : A 15-inch by 12-inch blueprint with a scale of 1 inch to 6 feet and a projected cost of $27,000.

Scale factor = \frac{1 inch}{6 feet}

Length of the office building on blueprint = l =15 inch

Width of the office building on blueprint = b =12 inch

Real length of the office building on blueprint = L

=\frac{1 inch}{6 feet}=\frac{15 inch}{L}

L = 90 feet

Real width of the office building on blueprint = B

\frac{1 inch}{6feet}=\frac{12 inch}{B}

B = 72 feet

Area of the building = L\times B=90 ft\times 72ft=6480 ft^2

Cost of project = $27,000

Cost of project per square foot =\frac{\$27,000}{6480ft^2}=4.17\$/ft^2

Project D :An 8-inch by 6-inch blueprint with a scale of 1 inch to 12 feet and a projected cost of $30,000

Scale factor = \frac{1 inch}{12 feet}

Length of the office building on blueprint = l = 8 inch

Width of the office building on blueprint = b =6 inch

Real length of the office building on blueprint = L

=\frac{1 inch}{12 feet}=\frac{8 inch}{L}

L = 96 feet

Real width of the office building on blueprint = B

\frac{1 inch}{12feet}=\frac{6 inch}{B}

B = 72 feet

Area of the building = L\times B=96 ft\times 72ft=6912 ft^2

Cost of project = $27,000

Cost of project per square foot =\frac{\$30,000}{6912ft^2}=4.34\$/ft^2

Project B > Project  A > Project  D > Project  C

4 0
3 years ago
Bo has $500 in his savings account. He plans to add $150 to his savings account every month. Recently, he purchased a tractor to
MariettaO [177]

Answer:

A. $2,000

Step-by-step explanation:

<em>Assuming that the money in the savings account will be used to pay off for tractor.</em>

<em>let the number of months be m</em>

Savings after m months will be 500+ 150m

After m months the installments paid  will 200m

To find the months it will take to pay for the tractor in m months, savings and the installments will be the price of the tractor. As an equation it be represented as below:

500+150m +200m = 4000

150m + 200m = 4000-500  <em>(grouping like terms)</em>

350m = 3500  <em>(Making m the subject of the formula)</em>

350m/350  = 3500/350

m = 10

Substituting m into the equation of saving after m months

<em>Savings after m months will be</em> 500+ 150m

<em>Savings after m months will be</em> 500 + 150(10)

<em>Savings after m months will be</em> 500 + 1500

Savings after m months will be $2000

7 0
3 years ago
Read 2 more answers
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