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MatroZZZ [7]
2 years ago
7

3.

Mathematics
1 answer:
Sindrei [870]2 years ago
7 0

Step-by-step explanation:

all we need to do is find the surface area, deduct windows and door areas.

that gives us the m² to be covered, which we have to multiply by $12.50 to get the total price.

what is the problem ? there are only trivial multiplications (with a calculator), additions and subtractions.

the house surface area is like for a box, but we don't care about the top and the bottom. only about the walls.

the "box" is 18 m × 14 m × 4 m.

so, the front and the back walls are each

18m × 4 m = 72 m²

both front and back : 2×72 = 144 m²

each side wall is

14m × 4m = 56 m²

both sides : 2×56 = 112 m²

now for the deductions.

each window is

1.5 × 2 = 3 m²

both windows : 2×3 = 6 m²

the door is

1 × 2.5 = 2.5 m²

so, the total area to "side" is

144 + 112 - 6 - 2.5 = 247.5 m²

to side 247.5 m² it costs

247.5 × 12.5 = $3,093.75

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(1) 4p²q : 10pq²
tiny-mole [99]

Answer: (1) 2p: 5q.

(2) 3:10.

(3) 5:6.

Step-by-step explanation:

To find : Ratio

(1) 4p²q : 10pq²

=\dfrac{4p^2q}{10pq^2}\\\\=\dfrac{2p^{2-1}}{5q^{2-1}}\\\\=\dfrac{2p}{5q}

i.e. Simplified ratio of 4p²q : 10pq²  is 2p: 5q.

(2) 9 months : 2½ years

1 year = 12 months

2\dfrac{1}{2}\text{years}=\dfrac{5}{2}\text{years}\\\\=\dfrac{5}{2}\times12=30\text{ months}

Now, 9 months : 2½ years = \dfrac{9\text{ months}}{30\text{ months}}=\dfrac{3}{10}

Hence, Simplified ratio of 9 months : 2½ years is 3:10.

(3) 5 m : 600 cm

1 m = 100 cm

So, 5m = 500 cm

Now, 5 m : 600 cm = \dfrac{500\ cm}{600\ cm}=\dfrac{5}{6}

Hence, Simplified ratio of  5 m : 600 cm  is 5:6.

7 0
3 years ago
What is the volume of the pyramid?
Tresset [83]

Answer:

It’s a blank page sorry

Step-by-step explanation:

4 0
3 years ago
You invest $3,000 in an account that has an annual interest rate of 2.5%, compounded continuously. How much money will be in the
Anarel [89]
Formula= amount=principal(1+rate/100)^time
a=3000(1+2.5/100)^5
a=3000(100/100 +2.5/100)^5
a=3000(102.5/100)^5
a=3000(1.025)^5
a=3000x1.131408212890625
a=3000x1.1314
a=3394
hope you understood
6 0
3 years ago
Please help i need answer
Sergeu [11.5K]

Answer:

Step-by-step explanation:

Triangle ABC is a right angle triangle.

From the given right angle triangle,

BC represents the hypotenuse of the right angle triangle.

With m∠C as the reference angle,

AC represents the adjacent side of the right angle triangle.

AB represents the opposite side of the right angle triangle. if Sin C = 15/17, it means that

Opposite side = 15

Hypotenuse = 17

We would find the adjacent side by applying Pythagorean theorem. Therefore,

Adjacent side² = 17² - 15² = 64

Adjacent side √ 64 = 8

To determine the ratio of Cos C, we would apply

the cosine trigonometric ratio.

Cos θ = adjacent side/hypotenuse. Therefore,

Cos C = 8/17

3 0
3 years ago
3/10 x 90 i know the answer but how
Inessa05 [86]
You can multiply 90 by .3 since 3/10 is .3

then you would get 27
7 0
3 years ago
Read 2 more answers
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