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Nat2105 [25]
3 years ago
14

Please find the area

Mathematics
1 answer:
Schach [20]3 years ago
3 0

Answer:

132 ft²

Step-by-step explanation:

If you combine the two triangles of the 'roof', you get a rectangle of 6x5.5=33, where 6 is calculated as 15-9 and 5.5 comes from 11/2.

Add to that the area of the rest of the 'house', which is a rectangle of 9x11=99

and the total area is 63+99 = 132.

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Please help me answer thanks.
Dmitry_Shevchenko [17]

Answer:

see explanation

Step-by-step explanation:

Given that M is directly proportional to r³ then the equation relating them is

M = kr³  ← k is the constant of proportion

To find k use the condition when r = 4, M = 160, thus

160 = k × 4³ = 64k ( divide both sides by 64 )

2.5 = k

M = 2.5r³ ← equation of variation

(a)

When r = 2, then

M = 2.5 × 2³ = 2.5 × 8 = 20

(b)

When M = 540, then

540 = 2.5r³ ( divide both sides by 2.5 )_

216 = r³ ( take the cube root of both sides )

r = \sqrt[3]{216} = 6

5 0
3 years ago
If x^2-x-6 and x^2+3x-18 hacpve a common factor (x-a) then find the value of a.​
DedPeter [7]

Answer:

a = 3

Step-by-step explanation:

Factor both expressions

x² - x - 6

Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (- 1)

The factors are - 3 and + 2 , since

- 3 × 2 = - 6 and - 3 + 2 = - 1 , thus

x² - x - 6 = (x - 3)(x + 2)

-----------------------------------

x² + 3x - 18

consider factors of constant term (- 18) which sum to give the coefficient of the x- term (+ 3)

The factors are + 6 and - 3 , since

6 × - 3 = - 18 and 6 - 3 = + 3 , thus

x² + 3x - 18 = (x + 6)(x - 3)

Both expressions have a common factor of (x - 3)

Compare with (x - a ), then a = 3

3 0
2 years ago
Read 2 more answers
Which equation represents the graphed function?
Neporo4naja [7]

Answer:

y=1/4x-2

Step-by-step explanation:

the first y axis number it touches is -2 and the slope is 1/4.

5 0
2 years ago
Read 2 more answers
If the difference of a number and two is tripled, the result is six more than the number. Find the number. Round your answer to
Nataly [62]

Answer:

6

Step-by-step explanation:

let the number be x

(x-2)3=x+6

3x-6 = x+ 6

2x= 12

x= 6

8 0
2 years ago
Michael is riding his bicycle a distance of 2.5 miles to Jason's house. He has ridden 1.7 miles so far. If d = the distance in m
lesya692 [45]
The answer I believe would be c.
3 0
3 years ago
Read 2 more answers
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