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natita [175]
3 years ago
6

A doll house uses a scale factor of 1 over 12 . The perimeter of a square room in the doll house is 36 inches . What is the leng

th of the full size room ?
show work
Mathematics
1 answer:
serious [3.7K]3 years ago
6 0
K= 1/12
perimeter of doll house= 36 inches
:. length of doll house= 36inches / 4
                               = 9 inches
length of actual= length of doll house x k(inverse)
:. actual lenght= 9 inches x 12/1
                     = 108 inches
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A small resort is situated on an island that lies exactly 3 miles from P, the nearest point to the island along a perfectly stra
Artemon [7]

Answer:

The distance from the  shoreline from P the pipe from the island will reach land in order to minimize the total construction cost is 0 m, or the pipe should be routed to the point P

Step-by-step explanation:

We note that, cost to lay pipe in water = 2.3 × cost to lay pipe on land

Distance of the small resort on the island from point p on the shoreline = 3 miles

Location of the closest source of fresh water is 10 miles along the shoreline from p

∴ The small resort, the point p and the closest source of the fresh water on the shoreline together form a right triangle with sides

Height = 3 miles

Base = 10 miles and

Hypotenuse = \sqrt{3^2 + 10 ^2} = \sqrt{109} =  10.44 \, m

To find the cost of laying the pipeline by the various route, we multiply the water routes by 2.3 and the land routes by 1 and we get

Costs:

Height =  Water route = 2.3 × 3 miles = 6.9

Base = Land route = 1 × 10 miles = 10

Hypotenuse = Water route = 2.3 × 10.44 miles = 24.012

Therefore, the two routes are either

10 miles to point p and 3 miles across the water to the resort with a cost = 10 + 6.9 = 16.9 or

Directly to the small resort through 10.44 miles across the water with cost = 24.012

Therefore, to minimize cost, the pipe should come from the resort to P from there to the fresh water source.

That is the distance from the  shoreline from P the pipe from the island will reach land in order to minimize the total construction cost = 0 m.

7 0
3 years ago
Plz help will be thanked and will pick out brainly
Brums [2.3K]
The answer is 32
Hope this helps:D
have a great rest of a brainly day!
5 0
3 years ago
Alex scored 98,72, and 87 on his first three math test. What must he score on the next test to have an average of at least 86 (P
ss7ja [257]

Answer:

\huge\boxed{\text{At least an } 87\%}

Step-by-step explanation:

In order to find what score Alex must earn to have an average of 86 on all his tests, we need to first note what the formula to find the average of a data set is.

\displaystyle \frac{x_1+x_2+...x_n}{n}

What the formula means is that we have to add up all the values then divide by the total number of values.

Let's represent our unknown number as x.

\displaystyle \frac{98+72+87+x}{4} \geq 86 (since we want AT LEAST an 86).

Let's solve this inequality for x.

  • \frac{98+72+87+x}{4} \cdot 4 \geq 86 \cdot 4
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  • 257 + x \geq 344
  • 257 + x  - 257 \geq 344 - 257
  • x \geq 87

So, Alex must score at least an 87% on his next quiz to have an average of 86%.

Hope this helped!

8 0
2 years ago
Slope of (3,4) (9,2)​
Alla [95]

Answer:

m= -1/3

good luck!

5 0
2 years ago
Solve the equation<br> 5x + 8 - 3x = -10<br><br> OX= -9<br> O x = -1<br> ON=1<br> O X = 9
Leokris [45]

Answer:

its OX= -9

Step-by-step explanation:

6 0
3 years ago
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