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3 years ago

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The side lengths of a square was dilated by the scale factor of 4/5. The new area of the square is 64 cm2. Find the original sid

e lengths of the square.

1 answer:

PSYCHO15rus [73]3 years ago

3 0

Solve for side

a = 8 cm

A Area 64 cm^2

Using the formula

A = a^2

a = $\sqrt{A} = \sqrt{64} = 8cm$

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A carpenter has a 10 1/2 foot wood plank. He cuts off 4 1/4 feet to replace a deck board as well as 3 2/3 feet to repair a step.

suter [353]

Answer:

The carpenter used 2 7/4 feet of plank for the shelf

Step-by-step explanation:

Total length of plank =10 1/2 foot

He used

For Deck board=4 1/4 feet

Step=3 2/3 feet

Shelf=x feet

Total plank=deck board + step + shelf

10 1/2 = 4 1/4 + 3 2/3 + x

Change the fractions

21/2 = 17/4 + 11/3 + x

Add 17/4 + 11/3

21/2 =51+44/12 + x

21/2= 95/12 + x

Collect like terms

21/2 - 95/12 =x

126-95/12 = x

31/12=x

2 7/12 =x

Therefore, the carpenter used 2 7/4 feet of plank for the shelf

Answer:

Step-by-step explanation:

Total length of plank =10 1/2 foot

He used

For Deck board=4 1/4

Step=3 2/3

Shelf=x

Total plank=deck board + step + shelf

10 1/2 = 4 1/4 + 3 2/3 + x

3 0

3 years ago

A line goes through (-4,-5) and (2,-3). Write an equation that is perpendicular to the line above

mrs_skeptik [129]

9514 1404 393

Answer:

y = -3x

Step-by-step explanation:

The slope formula gives the slope of the segment between the given points.

m = (y2 -y1)/(x2 -x1)

m = (-3 -(-5))/(2 -(-4)) = 2/6 = 1/3

The slope of the perpendicular line is the opposite reciprocal of this, so is ...

m' = -1/(1/3) = -3

A perpendicular line is ...

y = -3x

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3 years ago

If mAD=85 degrees and mBC=31 degrees find the value

Eddi Din [679]

Answer: x = 11

To start, we know that a whole circle equals 360 degrees. If we subtract the 2 arcs we know, 85 and 31, we have 244 degrees left for the 2 congruent arcs. Dividing that by 2 gives us 122 for each arc.

Now, write the equation: 122 = 13x - 21

Solve this, to find the x = 11.

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3 years ago

Help me please I will give you brainliest btw I need this asap

Yuki888 [10]

It’s 3.4 because 3.4 times itself equals 11.56 which is the closest to 11.

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4 years ago

Daniela painted a photo that was 4/5 afoot by 1 7/8 of afoot. What was the area?

Ahat [919]

Answer:

$\frac{3}{2}$ square feet

Step-by-step explanation:

The dimensions of the photo is 4/5 by 1 7/8 of a foot.

But,

1 7/8 = $\frac{15}{8}$ feet

So that,

length of the photo = $\frac{15}{8}$ feet

width of the photo = $\frac{4}{5}$ feet

The area of the photo = length x width

= $\frac{15}{8}$ x $\frac{4}{5}$

= $\frac{60}{40}$

= $\frac{3}{2}$

Area of the painted photo is $\frac{3}{2}$ square feet.

8 0

3 years ago