5.) Solve the proportion. *
2
m - 6
7.
m - 8

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:

0,-1

Step-by-step explanation:

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:

to find surface area of cylinder

A=2πrh+2πr²

Step-by-step explanation:

You can download answer here

is.gd/qKzpBU

Answer:

I think I might have them from last year?

Step-by-step explanation:

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:

234 mm²

Step-by-step explanation:

area of each side = L x W

(15 x 3 x 2) + (15 x 4 x 2) +(3 x 4 x 2) = 234 mm²

Answer:

vertically opposite angles

Step-by-step explanation:

because 1 and 4 are facing each other

Answer:

[tex]5(t - g) = 2t + 7 \\ 5t - 5g = 2t + 7 \\ 5t - 2t = 7 + 5g \\ 3t = 7 + 5g \\ t = \frac{7 + 5g}{3} [/tex]

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:

( 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: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:

[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:

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 is in the file below

tinyurl.com/wpazsebu

Answer:

2

Step-by-step explanation:

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

Step-by-step explanation:hope this helps

Answer:

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

Wish u good luck . ^^

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:

Step-by-step explanation:

m=1, (10,5)

y=mx+b

5=1(10)+b

5=10+b

b=-5

y=x-5

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:

n ≤ 6

Step-by-step explanation:

5 + 2n ≤ 17

2n ≤ 12

n ≤ 6

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

Step-by-step explanation:

Answer:

9x+6

Step-by-step explanation:

Answer:

6

Step-by-step explanation: