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3 years ago

13

A square picture with sides of 32 inches is to be mounted on a square mat with sides of 52 inches. Find the area of the mat that

will remain uncovered by the picture.

1 answer:

Andreas93 [3]3 years ago

7 0

Answer:

52^2 - 32^2 = 1680 inches²

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Please help me solve the screenshot below.

Harrizon [31]

Answer:

The arrangement of the given equation in the slope - intercept form are

$y=-x+4$
$y=2x-5$

Step-by-step explanation:

Given:

x + y = 4 and

y - 2x = -5

Slope - intercept form :

$y=mx+c$

Where,

m is the slope of the line.

c is the y-intercept.

When two points are given say ( x1 , y1 ) and ( x2 , y2) we can remove slope by

Slope,

$m=\frac{y_{2}- y_{1}}{x_{2}- x_{1}}$

Intercepts: Where the line cut X axis called X- intercept and where cut Y axis is called Y- intercept.

So, the Slope -intercept form of

x + y = 4 is $y=-x+4$

and

y - 2x = -5 is $y=2x-5$

3 0

3 years ago

10. Two plots of land, one square and other rectangle have same perimeter. If the rectangular field is of size 90 m by 70 m, whi

masya89 [10]

Answer:

Here is your answer.

Hope you will enjoy

7 0

3 years ago

Which of the following equations has infinitely many real solutions? A. 3(x - 7) = 3x + 21 B. 3x + 1 = 3x - 1 C. 3x + 1 = x - 1

Anon25 [30]

Answer is D. 3(x - 7) = 3x - 21

because

3(x - 7) = 3x - 21

Distributive property

3x - 21 = 3x - 21

0 = 0

Infinitely many real solutions

6 0

4 years ago

An above-ground swimming pool in the shape of a cylinder has a diameter of 18 feet and a height of 4.5 feet.If the pool is fille

Furkat [3]

Answer:

The volume of the water in the pool is 1,017 cubic feet

Step-by-step explanation:

we know that

The volume of a cylinder is equal to

$V=\pi r^{2} h$

we have

$r=18/2=9\ ft$ ----> the radius is half the diameter

Remember that

$1\ ft=12\ in$

so

$6\ in=6/12=0.5\ ft$

To find out the height of the water, subtract 0.5 feet from the height of the swimming pool

$h=4.5-0.5=4\ ft$

assume

$\pi =3.14$

Find the volume of the water

$V=(3.14)(9^{2})(4)$

$V=1,017\ ft^3$

3 0

3 years ago

James makes fruit punch by mixing fruit jucie and lemonade in the ratio 1:4 she needs to make 40 liters of punch for a party How

Andrews [41]

Answer:

Part 1.

Juice = 8 L.

Lemonade = 32 L.

Part 2.

20 L punch Josie can make.

Part 3.

New ratio juice : lemonade = 2 : 9

Step-by-step explanation:

Part 1.

1+4 = 5 parts altogether, 1 parts for juice and 4 parts for lemonade.

40 : 5 = 8 L is 1 part.

Juice - 1 part - 8 L.

Lemonade - 4 parts - 4*8 = 32 L.

Part 2.

1 parts of juice needs 4 parts of lemonade

4 L of juice needs x L of lemonade

1 : 4 = 4 : x

x = 4*4/1 = 16 L lemonade

4+ 16 = 20 L punch Josie can make

Part 3.

It was 4 L of juice and 16 L of lemonade.

After 2 L lemonade was added, we have 4 L of juice and (16+2) = 18 L of lemonade.

4 L juice : 18 L lemonade = 4/2 L juice : 18/2 L lemonade =

= 2 L juice: 9L lemonade

New ratio juice : lemonade = 2 : 9

3 0

3 years ago