HELP ASAP. (please show work) solve for x.

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Answer:

I think I might have them from last year?

Step-by-step explanation:

Question

The hypotenuse of an isosceles right triangle is 11 centimeters longer than either of its legs. find the exact length of each side.

Answer:

[tex]Hypotenuse:37.56[/tex]

[tex]Other\ Legs: 26.56[/tex]

Step-by-step explanation:

Let the hypotenuse be y and the other legs be x.

So:

[tex]y = 11 + x[/tex]

Required

Determine the exact dimension of the triangle

Using Pythagoras theorem;

[tex]y^2 = x^2 + x^2[/tex]

[tex]y^2 = 2x^2[/tex]

This gives:

[tex](11+x)^2 = 2x^2[/tex]

Open bracket

[tex]121 + 22x + x^2= 2x^2[/tex]

Collect like terms

[tex]2x^2 - x^2 -22x - 121 = 0[/tex]

[tex]x^2 -22x - 121 = 0[/tex]

Using quadratic formula:

[tex]x = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}[/tex]

[tex]x = \frac{-(-22)\±\sqrt{(-22)^2 - 4*1*-121}}{2*1}[/tex]

[tex]x = \frac{-(-22)\±\sqrt{968}}{2*1}[/tex]

[tex]x = \frac{22\±31.11}{2}[/tex]

Split

[tex]x = \frac{22+31.11}{2}\ or\ x = \frac{22-31.11}{2}\\[/tex]

[tex]x = \frac{53.11}{2}\ or\ x = \frac{-9.11}{2}[/tex]

x can not be negative.

So:

[tex]x = \frac{53.11}{2}[/tex]

[tex]x = 26.56[/tex]

Recall that:

[tex]y = 11 + x[/tex]

[tex]y = 11 + 26.56[/tex]

[tex]y = 37.56[/tex]

Hence, the dimensions are:

[tex]Hypotenuse:37.56[/tex]

[tex]Other\ Legs: 26.56[/tex]

Answer:

Step-by-step explanation:

Area of trapezoid formula:

Substitute values and find the area:

Answer:

34

Step-by-step explanation:

Given the trapezoid formula:

1/2(b1+b2) x h

The first step is to find the bases and height.

1/2(12+5) x 4

The second step is to do what is in the parentheses.

12+5=17

The third step is to divide 17 and 2.

17÷2=8.5

The last step is to Multiply 8.5 and 4.

8.5 x 4 = 34

So your answer is 34 centimeters.

Answer:

31=x

96=z

Y=31

Step-by-step explanation:

X x Z=

N/180

16.53

Im not sure because the ff isnt complete

Answer:

$36.6 for 20 pints of ice cream

Step-by-step explanation:

4 pints = $7.32.

20 pints = ?

you need to cross multiply or you can just multiply $7.32. with 5.

Answer:

[tex]m > 1.75[/tex]

Step-by-step explanation:

1) Add 0.3 to both sides.

[tex]m > 1.45 + 0.3[/tex]

2) Simplify 1.45 + 0.3 to 1.75.

[tex]m > 1.75[/tex]

Therefor, the answer is m > 1.75.

Answer:

vertically opposite angles

Step-by-step explanation:

because 1 and 4 are facing each other

Answer:

c is the right answer of this

Answer:

The first blank: 65

The second blank: 24

The third blank: 16

The last blank is: 41

Step-by-step explanation:

The Phthagorean theorm is as follows: c^2=a^2+b^2

Where a and b are the legs of the triangle and c is the hypotenuse

To fill in the first blank space you need to find c, and it's given a and b: a=25 b=60

You substitute the known values into the equation of the Pythagorean theorm: c^2=25^2+60^2

And solve to find c

c^2=4225

c=

[tex] \sqrt{4225} [/tex]

c=65

The answer for the first blank

For the second blank you given a and c: a=7 c=25

Substitute the value into Pythagorean theorm:c^2=a^2+b^2

25^5=7^2+b^2

625=49+b^2

To solve b you got to subtract 49 to both sides

625-49=b^2

576=b^2

[tex] \sqrt{576} = b[/tex]

24=b

Which is your answer

For the third blank its given b and c: b=30 c=34

Substitute the value into Pythagorean theorm

c^2=a^2+b^2

34^2=a^2+30^2

Solve the exponential terms: 1156=a^2+900

Then you solve the variable that you need to find. In this case, you got to solve a^2 by subtracting 900 of both sides of the equation:1156-900=a^2

256=a^2

[tex] \sqrt{256 = a} [/tex]

16=a which is your answer

Finally your last blank,its given the values and b

a=9

b=40

Substitute the value into Pythagorean theorm

c^2=9^2+40^2

And solve for c

c^2=81+1600

c^2=1681

[tex]c = \sqrt{1681} [/tex]

Which gives you c=41 which is your answer

Let me know if this helps

Answer:

I believe that he answer would be the third one , 3240 cm2 .

Wish u good luck . ^^

Answer: the price of a hot dog was low and the drink was low

Step-by-step explanation:hope this helps

Answer:4.404

Step-by-step explanation: All you have to do is place it in standard algorithm, and you start multiplying

Answer:

= 4.404

Step-by-step explanation:

= 7.34 × 0.6

Remove the point

= 734 × 6

= 4 404

Then shift the point for 3 times

:. = 4.404

Answer:

3.6 hours.

Step-by-step explanation:

Given that Two buses depart from the Hillsboro Bus Terminal. One is moving north at 35 miles per hour, while the other is moving south at 48 miles per hour. How long will it be before the buses are 48 miles apart

Since they are moving in opposite directions to each other, let us first calculate the relative velocity.

Relative speed = 48 - 35 = 13 mph

Using the formula

Speed = distance/time

Substitute all the parameters into the formula

13 = 48 / time

Make time the subject of the formula

Time = 48 /13

3.69 hours.

Therefore, before the buses are 48 miles apart, the time taken will be 3.6hours.

Answer:

x-5 = 0 has a remainder of 3

x = 5

therefore p(5) = 3

x+8 = 0 has a remainder of 0

x = -8

therefore p(-8) = 0

Answer:

( x - 4 )^2 + ( y + 5 )^2 = 9^2

Step-by-step explanation:

equation of a circle: ( x - h )^2 + ( y - k )^2 = r^2

( h, k ) is the center and r is the radius.

Answer:

Step-by-step explanation:

1. 3/7

2. 1/5

3. 7 and 21

Answer:

1) 3/4

2) 1/5

3) 7 and 21

4) 9 tokens a day

5) 6 laps a week

Answer:

9x+6

Step-by-step explanation:

Answer:

64 ounces is the best buy

Step-by-step explanation:

To figure which size is the best to buy, find the cheapest per ounces one

A: 16 ounces costs $2.56, each ounces cost 2.56/16 = $0.16

B: 36 ounces costs $5.40, each ounces cost 5.40/36 = $0.15

C: 64 ounces costs $8.96, each ounces cost 8.96/64 = $0.14

D: 96 ounces costs $14.40, each ounces cost 14.40/96 = $0.15

From the results above, C cost lowest per ounces,

64 ounces is the best buy

Answer is in the file below

tinyurl.com/wpazsebu

Answer:

2

Step-by-step explanation:

Answer; A B and C are the correct answers also please do not follow the other links answer

Step-by-step explanation:

Answer:

n ≤ 6

Step-by-step explanation:

5 + 2n ≤ 17

2n ≤ 12

n ≤ 6

Answer:

6

Step-by-step explanation:

Answer:

to find surface area of cylinder

A=2πrh+2πr²

Step-by-step explanation:

the answer is w=1 your welcomw

Answer:

w = 1

Step-by-step explanation:

2w + 4w + 3 = 8 - 5w + 6

combine like terms:

6x + 3 = 14 - 5w

add 5w to each side of the equation:

11w + 3 = 14

subtract 3 from each side:

11w = 11

divide both sides by 11:

w = 1

Answer:

D;the tropical ostrich runs at a speed of about 36 miles per hour

Answer: It is D, The typical ostrich runs at a speed of about 36 miles per hour.

Step-by-step explanation:

I took the quiz on A p e x^^

Answer:

Step-by-step explanation:

m=1, (10,5)

y=mx+b

5=1(10)+b

5=10+b

b=-5

y=x-5