Please help I need to show my work

The right triangle is assumed to be inscribed in the rectangle, such that

hypotenuse is the diagonal of the rectangle.

Reasons:

Let x and y represent the length of the sides of the rectangle

Whereby the base and height of the right triangle are the same as the

length and width of the rectangle, we have;

Perimeter of the rectangle = 2·x + 2·y = 68

Therefore;

[tex]\displaystyle x + y = \frac{68}{2} = 34[/tex]

x + y = 34

The base of the right triangle = x

The height of the right triangle = y

By Pythagoras's theorem, the length of the hypotenuse side = √(x² + y²)

Therefore; Perimeter of the right triangle = x + y + √(x² + y²) = 60

Which gives;

∴√(x² + y²) = 60 - (x + y) = 60 - 34 = 26

The length of the hypotenuse side, √(x² + y²) = 26 cm

Learn more about Pythagoras's theorem here:

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Answer: i think its D

Step-by-step explanation:

Answer:

slope-intercept form. y = ＿ + ＿  阿ㄐ高

Step-by-step explanation:

Answer:

third side = 6

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.

let the third side be x , then

x² + 4² = (2[tex]\sqrt{13}[/tex] )²

x² + 16 = 52 ( subtract 16 from both sides )

x² = 36 ( take square root of both sides )

x = [tex]\sqrt{36}[/tex] = 6

Answer:

8

Step-by-step explanation:

eight more anakd;odslakhas sfjjjsjas

Answer:

3/1 tsp. or 3 tsp.

Step-by-step explanation:

3/4 times 4

Answer:

slope = 3

y intercept = 4

Step-by-step explanation:

Rearrange the equation so y is the subject.

1. Add 8 to both sides

2y = 6x + 8

2. Divide both sides by 2

y = 3x + 4

Voilà, you got your answer in the line format, y = mx + c, where m is the slope and c is the y intercept.

Answer:

first one

Step-by-step explanation:

lemme know if im right

Answer:

first one I think is right

Answer: 2 x 10^2 in scientific notation The answer would be 200

Step-by-step explanation: Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

Answer:

sorry hindi amo marunong ng math

The length of the side of the square that is cut from each corner will be 2 cm or 8 cm.

Volume is the scalar quantity of any object that specified occupied space in 3D.

For example, the space in our room is referred to as volume.

Volume has units of cube example meter³,cm³, etc.

The volume of the cuboid = length × height × width.

The volume of the cube = side³.

Suppose the length of the metal square piece is L = 12 cm and the width of the cut is h as shown below,

Volume of the box = (L - 2h)² × h

(12 - 2h)² × h = 128

4h(6 - h)² = 128

h(36 + h² - 12h) = 32

h³ - 12h² + 36h - 32 = 0

(h - 2)(h² - 10h + 16) = 0

(h - 2)(h² - 8h - 2h + 16) = 0

(h - 2)(h(h - 8) - 2(h - 8)) = 0

(h - 2)(h - 2)(h - 8) = 0

h = 2,8

Hence "The length of the side of the square that is cut from each corner will be 2 cm or 8 cm".

To learn more about volume,

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#SPJ2

Answer:

150.884615385

Step-by-step explanation:

3923÷26=150.8846153846153

Answer:

Step-by-step explanation:

slope=m= 5

points=(-1,2)

By point-slope form:

[tex]y[/tex]-[tex]y_{1}[/tex]=m([tex]x-x_{1}[/tex])

Substitute the values in formula:

y-2=5(x+1)        (It is the point slope form)

Now,

Slope intercept form:

y-2=5x+5

y=5x+5+2

y=5x+7

Answer: Solve for x

x =  -7

Answer:

=  − 7

Step-by-step explanation:

5 - 3x -1 = 25

4 - 3x = 25

-3x + 4 = 25

-3x + 4 - 4 = 25-4

Answer:

hope this helps

Step-by-step explanation:

[tex]a^{6\\}[/tex]

to do this you factor the numerator and denominator and then you cancel the common factors

Answer:

7.3 meters

Step-by-step explanation:

use the formula:

meters= yards x 0.9144.

8 yards x 0.9144 = 7.3152 meters

which rounded to the nearest tenth is 7.3152

Answer:

7.3

Step-by-step explanation:

→ First find how many yards in one meter

1 yard = 0.9144 meters

→ Multiply 0.9144 by 8

0.9144 × 8 = 7.3152

Answer:

A = 27 cm²

Step-by-step explanation:

let 'w' = width

let '3w' = length

P = 2l + 2w

24 = 2(3w) + 2w

24 = 6w + 2w

24 = 8w

w = 3

l = 3(3) or 0

A = lw

A = 3(9)

A = 27

Answer:

57 seconds

Step-by-step explanation:

55.7 + 1.3 = 57

Hope this helps!

Answer:

57 seconds

Step-by-step explanation:

Since she beat the record by 1.3 seconds, it means the previous record was 55.7 + 1.3. Therefore, the record was 57 seconds.

Answer: 36

Step-by-step explanation:

AB = 16 cm

BC = CA = 10 cm

so it's 16 + 10 + 10 = 36

Answer:

y=-5x-12

y=-0.5x-5

y=-0.5x+0.5

y=-4.5x+3

y=-2x+7

y=2.5x+10

Step-by-step explanation:

Answer: -2.8, -2.45, -2, 1, and 4.

Step-by-step explanation:

Larger negatives go first so -2.8 is the largest and you continue using that method until 1 where the smaller number go first. Positives.

Step-by-step explanation:

12 to 39 divide each by 3

4 to 13 is the simpliest ratio

Answer:

4 dollars 8 dimes 8 pennies

Step-by-step explanation:

Answer:

Each pen costs $1.22, which means that you would have to drag a $1 bill, 2 dimes, and 2 Penny's into the box.

Answer:

y = -3/4x - 7

Step-by-step explanation:

Parallel lines have the same slope.

Solve for y in the equation to find the slope.

x - 4y = 4x

  -4y = -x + 4x

  -4y = 3x

     y = 3/-4 x   = -3/4x    So the slope is -3/4  which is the coefficient of the

                                       x term

Substitute the slope(m) = -3/4 and point (-8, -1) into y = mx + b to solve for "b"

y = mx + b

-1 = -3/4(-8) + b

-1 = 6 + b

-1 - 6 = b

-7 = b

The equation of the new line:  y = mx + b

                                                  y = -3/4x - 7

Answer:

Yes

Step-by-step explanation:

If Don drives at 60 miles per hour and drives for 3.5 hours, then he can drive:

60 * 3.5 = 210 miles

Because 210 miles is more than 200 miles, the answer is yes, he can make it to the beach in that time.

The answer is

1.1%, 0.1, 1/9, 2/11

Step-by-step explanation:

convert the fractions to decimals, the percentage to decimal.

then just order the numbers from smallest to biggest

1/9= 0.11

2/11=0.18

1.1%/100= 0.011

Answer:

horizontal line: y = 7

vertical line: x = 1

Step-by-step explanation: