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polet [3.4K]
3 years ago
9

Students are painting the backdrop for the school play the backdrop is 15 feet wide and 10 feet high every 16 inches on the scal

e drawing represents 5 feet in the backdrop what is the area of the scale drawing
Mathematics
1 answer:
laiz [17]3 years ago
5 0
Actual:
15 ft wide and 10 ft high.

Area = 15ft * 10ft
Area = 150ft²

Scale drawing.
Every 16 inches represent 5 feet in the back drop.

15ft ÷ 5ft = 3 * 16 inches = 48 inches
10ft ÷ 5ft = 2 * 16 inches = 32 inches

Area = 48 in * 32 in
Area = 1536 in²

Area of the scale drawing is 1,536 square inch.
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LoJao(37-3八):log 20 (3rniay)
Amanda [17]
Hello,
if the question is to solve the equation:

1) log must exist:
a)==>2r²-27>0==>(r-√(27/2))(r+√(27/2))==> outside the roots
r<-√(27/2) or r>√(27/2)
b)==>3r²+12r>0 ==>3r(r+4)>0 ==>outside the roots
r>0 or r<-4
==>r<-4 or r>√(27/2)=3.6742...

If this is realized:
2r-27=3r²+12r
==>r²+12r+27=0
Δ=12²-4*27=36=6²
r=(-12+6)/2=-3 or r=(-12-6)/2=-9

One solution r=-9

Proof
 log_{20}(2*(-9)^2-27)= log_{20}135

 log_{20}(3*(-9)^2+12*(-9))= log_{20}135



7 0
4 years ago
Coral buys a house for £234 900 she pays a 10% deposit. Work out the amount of deposit paid by Carol.
Pavel [41]

The solution would be like this for this specific problem:

Given:

Total amount of the house = £234,900

 

<span>Find:

Amount of deposit paid = ?</span>

 

So first, we divide the t<span>otal amount of the house by the percent of deposit that Carol paid.

</span>= £234,900 / 10%

= £23,490

 

<span>Another way to solve this is by converting the percent of the deposit into a decimal. We do this by dividing the percentage amount by 100.

= 10% / 100% </span>

= 0.1

 

Next, we multiply the decimal equivalent of the percentage to the total amount of the house.

= £234,900 * 0.1

= £23,490

 

So, the amount of deposit that was paid by Carol is £<span>23,490.</span>

6 0
4 years ago
Two quantities are related, as shown in the table:
Rashid [163]

Answer:

y = \frac{1}{2} x + 2.

Step-by-step explanation:

From the given table it is clear that x and y are linearly related.

Now, any two points that satisfy the relation between x and y are sufficient to express the equation.

The first two given points are (2,3), and (4,4).

Therefore, the equation is \frac{y - 4}{4 - 3} = \frac{x - 4}{4 - 2}

⇒ y - 4 = \frac{1}{2} (x - 4)

⇒ y - 4 = \frac{1}{2} x - 2

⇒ y = \frac{1}{2} x + 2. (Answer)

6 0
3 years ago
Please I really need help! Can you answer A and B and I will mark you as brainliest!
Georgia [21]

a) The average arithmetic mean is calculated by adding all of the values and then dividing the sum by the total number of values.

\frac{198+199(3)+200(2)+201(5)+202(2)}{13} =200.3

Which is 200.3.

b) Assume that the new average mean is 201, then

201 = \frac{198 + 199(3) + 200(2) + 201(5) + 202(2)+x}{14}

Solve for x.

2814= 2604x

Divide by 2604 to solve for x.

\frac{2814}{1604} = x = 1.75

So the height of the new player is 175 cm.

3 0
4 years ago
Question 2 of 9<br> 12 + (17 + 1) = (12 +17) + 1<br> A. True<br> B. False<br> SUBMIT
musickatia [10]

Answer:

i think true

Step-by-step explanation:

5 0
4 years ago
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