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charle [14.2K]
3 years ago
11

A scale drawing of a bathroom is shown:

Mathematics
1 answer:
lora16 [44]3 years ago
7 0
Scale of drawing = 3.5 inches by 2 inches
Actual bathroom = (3.5 x 20) inches by (2 x 20) inches = 70 inches by 40 inches = 70/12 feet by 40/12 feet = 5.83 feet by 3.33 feet
Area of actual bathroom = 5.83 x 3.33 = 19ft^2
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Which expression represents the distance between point (0, a) and point (a, 0) on a coordinate grid?
o-na [289]

Answer:

\sqrt{2} a

Step-by-step explanation:

The distance between point (x1,y1) and (x2,y2) on a coordinate plane is given by expression \sqrt{(x1-x2)^2+(y1-y2)^2}

In the problem given coordinate points are

(0, a) and (a, 0).

Thus, distance between these points are given by

distance = \sqrt{(x1-x2)^2+(y1-y2)^2}\\=>distance = \sqrt{(0-a)^2+(a-0)^2}\\=>distance = \sqrt{(a)^2+(a)^2}\\\\=>distance = \sqrt{2a^2}\\=>distance = \sqrt{2} a

Thus , expression \sqrt{2} a gives the distance between point (0, a) and point (a, 0) on a coordinate grid.

5 0
3 years ago
Read 2 more answers
The graph of the function f(x) = (x + 2)(x + 6) is shown in the picture
tester [92]

Answer: The function is negative for all real values of x.where

x < -2.

Step-by-step explanation:

Because the values ​​-4 and -6 are less than -2 which is the basis of the statement highlighted as the right one.

6 0
3 years ago
I need help with the equation.
natulia [17]

Answer:

(x - 3)² + (y + 9)² = 25

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

Given area = 25π , that is

πr² = 25π ( divide both sides by π )

r² = 25 ( take the square root of both sides )

r = \sqrt{25} = 5

With centre (h, k) = (3, - 9 ) and r = 5 , then

(x - 3)² + (y - (- 9) )² = 5² , that is

(x - 3)² + (y + 9)² = 25

8 0
3 years ago
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What is the volume of the prism?<br><br> 14 m3<br> 24 m3<br> 30 m3<br> 44 m
geniusboy [140]

Answer:

the answer is 24 m3

                                             

6 0
3 years ago
Find the sum of the first 30 terms for the given arithmetic sequence.
SOVA2 [1]

Answer:

Step-by-step explanation:

Find the last term of the sequence.

a1 = 8

d = -7

n = 30

a30 = 8 + (n - 1)*(-7)

a30 = 8 + (30 - 1)*-7

a30 = 8 + 29*-7

a30 = 8 - 203

a30 = -195

Sum = (a + L)*n/2

Sum = (8 + -195) * 30/2

Sum = - 187  * 15

Sum = - 2805

6 0
3 years ago
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