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The length of the hypotenuse in a right triangle is 12 inches.

The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.

Given that, the lengths of the legs of a right triangle are 8 inches and 9 inches.

Let the length of the hypotenuse be x.

Here, x²=8²+9²

x²=64+81

x²=145

x=√145

x=12.04

x≈12 inches

Therefore, the length of the hypotenuse is 12 inches.

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Answer:

0.9821

Step-by-step explanation:

Probability that a randomly selected value will be less than 2.1 deviations from the mean ; this means the Zscore = 2.1

Hence, using :

P(Z < 2.1) = 0.9821 (standard normal table

= 0.9821

Answer:

16/21

Step-by-step explanation:

9+7 / 21

16/21

Answer:

16/21

Step-by-step explanation:

The demoninator is 21

There are 9 pens and 7 shoes.

9+7=16

16/21

You can not simplify 16/21, so that is your final answer.

Answer:

and the question is? I'm confused

Answer:

Step-by-step explanation:

adjacent=5  ,hypotenuse13  opposite=?

hypotenuse^2=opposite^2+adjacent^2

13^2=opposite^2+5^2

169-25=opposite^2

[tex]\sqrt144[/tex]=opposite

12=opposite

SinA=opposite/hypotenuse

12/13

therefore sinA =`12/13

Answer:

Step-by-step explanation:

To solve this problem you need the function

h(t) = -16t2 + v0t + h0

where t = time

v0 is the initial velocity, which in our case is 0

h0 = initial height, which in our case is 256

h(t) = 0 since we want to know when the ball will hit the ground.

0 = -16 t2 + 256

And we can solve for t

If we rearrange the terms we see that this is a difference of 2 squares

0 = 256 - 16t2

0 = (16-4t)(16+4t)

Setting each factor = 0

16-4t=0       16+4t=4

t = 4             t = -4

The second solution is discarded as time cannot be negative.

So the ball will hit the ground in 4 seconds.

Answer:

w = 5

Step-by-step explanation:

Combining like terms is a very important part to this equation!

5.2w - 1.4 = 3.2w + 8.6

I added 1.4 to the right side first, though you must do it to the left side of the equation as well

5.2w - 1.4 + (1.4) = 3.2w + 8.6 + (1.4)

5.2w = 3.2w + 10

Combine the remaining like terms. I subtracted 3.2w from both sides.

5.2w + (-3.2w) = 3.2w + (-3.2) +10

2w = 10

Now divide

2w = 10

w =  [tex]\frac{10}2}[/tex]

w = 5

Answer:

according to me the ans is 3.

Answer:

–4(y–2)=12

y–2=12/–4

y–2=–3

The choose (5)

Answer:

3rd Option;

x = 4

y = 116

Step-by-step explanation:

Let's start by solving for "x" first:

=>  We know that in a parallelogram, opposite sides are parallel as well as congruent, therefore we can say:

Side 1 = It's opposite side

=> 16 = 3x + 4

=> 16 - 4 = 3x

=> 12 = 3x

=> 12/3 = x

=> 4 = x

Now that we know x, let's find the y-value;

=> We know that opposite angles in a parallelogram are congruent, therefore we can say;

Angle 1 = It's opposite angle

=> 56 = y - 60

=> 56 + 60 = y

=> 116 = y

Hope this helps!

Answer:  300 cans

Step-by-step explanation:

Questions wants to know what her goal was:

When Sasha collected 180 cans, she reached 60% of her goal. This means that 180 is 60% of the goal that she set for herself.

To find this goal, assume that it is denoted as x. In such a case, the goal would be expressed as:

180 = 60% * x

x = 180 / 60%

x = 300 cans

Answer:

x = 11 or x = -1

Step-by-step explanation:

(x-5)^2 = 36

(x-5) = 6 or (x-5)= -6

then x = 11 or x = -1

Answer:

Step 2

Step-by-step explanation:

Answer:

169.6

Step-by-step explanation:

Multiply the original by the first 50% discount:

40,000 x 0.5 = 20,000

Now multiply that by the second 50 % discount:

20,000 x 0.5 = 10,000

The price would be 10,000 rupees

Answer:

Step-by-step explanation:

[tex]\frac{50}{100}[/tex] × 40 000 = 20 000

Answer:

a). x=18x2

        18x2=36

Don spent 36 dollars.

b). x=36x0.3

        36x0.3=10.8

Brad's sister spent 10 dollars and 80 cents.

c). 36+18=54

1.0-0.13 = 0.87

54x0.87=46.98

54-46.98=7.02

Don and Brad paid 7 dollars and 2 cents in tax.

Answer: 6.8 inches

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

GIVEN :-

TO FIND :-

SOLUTION :-

To find the value of x , lets assume that both the triangles are similar to each other. As they are similar , their sides are proportional to each other i.e. :-

[tex]\frac{KJ}{JL} = \frac{QR}{QS}[/tex]

[tex]=> \frac{3}{x} = \frac{12}{x + 6}[/tex]

[tex]=> 3(x + 6) = 12 \times x[/tex]

[tex]=> 3x + 18 = 12x[/tex]

[tex]=> 12x - 3x = 3x + 18 - 3x[/tex]

[tex]=> 9x = 18[/tex]

[tex]=> \frac{9x}{9} = \frac{18}{9}[/tex]

[tex]=> x = 2[/tex]

1) P= 64 cm, width = x, length = 14 + x

64 = x + x + 14 + x + 14 + x

64 = 4x + 28

4x = 64 - 28

4x = 36

x = 36/ 4

x = 9

AREA = 9 x (9+14)

Area = 9 x 23

Area = 207 cm

2) smaller no. = y, bigger no. = x

x - y = 3

2x+1/2y=36

Next, multiply 2 to first equation and find y:

2x-2y=6

5/2y=30

y = 12

Substitue y to x-y=3 to find x,

x = 15

3) x = pencil, y = pen

5x + 4y = $6.15

8x + 3y = 9.85$

8x + 7y = ?

5x + 4y = 6.15$ multiply both sides by -3

8x + 3y = 9.85$ multiply both sides by 4

-15x + 32x = (-3)*6.15 + 4*9.85

7x = 19.87 multiply both sides by 8/7

8x = (8/7) x 19.87

Add both equations:

32y - 15y = 8x6.15 - 5*9.58

17y = 1.3

y = 91/17) x 1.3

7y = (7/17)x 1.3

8x + 7y = (8/7) x 19.87 + (7/17) x 1.3

8x + 7y = $23.244

4) 2l + 2w = 0

2 x 2l + 2 x 1/2w = 40 + 16

l+w = 20

4l+w = 56

I’ve got l = 12 and w = 8

5) answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° = \frac{ab}{bc}

but bc = 20 feet.

⇒ tan 55 ° =   \frac{ab}{20}

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet

6) The answer is teh attachment !

7) 3x-x+2=4

HOPE THE ANSWERS HELP!! PL MARK ME BRAINLIEST!

Answer:

break it in three rectangles!

let the rectangles be A B and C

For A = 4×2

For B 3× (4-2)

For C = 4×3

Total area 26cm²

Hence, the slope of the line means for every one dollars the person earn the saving decrease by 1 dollars

The equation of the linear regression line represents the relationship between the amount a person saved, x, and the amount earned, y.

Therefore,

y = 100x + 50

Using the linear equation model,

y = mx + b

where

Therefore,

slope = 100

y-intercept = 50

Hence, the slope represents for every one dollars the person earn the saving decrease by 1 dollars

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Answer:

a. 10.08

b. 0.0576

Answer:

Hello! answer: 6

Step-by-step explanation:

8 × 8 = 64

6 × 6 = 36

64 + 36 = 100

√100 = 10 so therefore a = 6 Hope that helps!

Answer:

The circle one

Step-by-step explanation:

What you need to do is count the number of squares or slices it has and then count how Buchanan the chunk is divided into, should be 6

==============================================================

Explanation:

Ignore the dashed smaller lines for now. The solid black vertical lines form 4 smaller equal pieces, and not 5. Each tickmark represents 1/4 and not 1/5

So if you wanted to represent a model for [tex]\frac{1}{4}\div 6[/tex], then you would use the lower left corner. However, we want that 1/4 to be 1/5 instead. So this is why the answer is the lower left corner.

Everything else is a correct model. We started dividing everything into 5 equal parts. Then we focused on one of those slices, and subdivided that slice into 6 equal parts. Imagine doing that for each slice and we should have 5*6 = 30 smaller pieces total. Hence [tex]\frac{1}{5} \div 6 = \frac{1}{5} \times \frac{1}{6} = \frac{1}{30}[/tex]

Answer:

B) 9

Step-by-step explanation:

110 + 75 + 11x - 9 + 8x + 13 = 360

19x + 189 = 360

19x (+ 189 - 189) = 360 - 189

19x = 171

19x/19 = 171/19

x = 9

Answer:

Each cupcake cost $2.50 and each brownie cost $2.00

Step-by-step explanation:

Let x represent the price of each cupcake and let y represent the price of each brownie.

Lily and Maddie bought one cupcake and one brownie for $4.50. Hence the equation is:

x + y = 4.50                (1)

Also Jessica purchased 3 cupcakes and one brownie for $9.50. Hence the equation is given by:

3x + y = 9.50              (2)

To find the price of each cupcake and brownie, we solve equation 1 and 2 simultaneously. To find x, subtract equation 1 from equation 2:

2x = 5

x = $2.50

Put x = $2.50 in equation (1):

2.50 + y = 4.50

y = $2.00

Therefore each cupcake cost $2.50 and each brownie cost $2.00