pls help me!
(7th grade math)
help is very much appreciated :)

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:

32

Step-by-step explanation:

I'll assume they're vertical angles

5x - 13 = 2x + 14

3x = 27

x = 9

<ABC:

5x - 13

5(9) - 13

32

Answer:

L.49

NO EXPLANATION

Answer:

2.64cm

Step-by-step explanation:

A = π r^2

5.5 = π r^2

1.75 = r^2

r = 1.32

Diameter is then 2(1.32) = 2.64

Answer:

2.65 cm to the nearest hundredth

Step-by-step explanation:

A = πr^2 = 5.5

r^2 = 5.5/ π = 1.5707

r = 1.3231

Diameter = 2 * r

= 2.6462.

Answer:

9x+6

Step-by-step explanation:

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.

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:

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

Answer:

0,-1

Step-by-step explanation:

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:

∠K = 78.75°

Step-by-step explanation:

since complimentary, ∠K + ∠L = 90°

K = 7L

substitute for K:

7L + L = 90

8L = 90

∠L = 11.25°

∠K = 90° - 11.25° = 78.75°

Answer:

very cute

Step-by-step explanation:

Ian even know him until now but he mad fine

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:

Step-by-step explanation:

B

Answer:

C

Step-by-step explanation:

$232.94 * 9.25% = 21.54694

21.54694 rounds up to 21.55

21.55/12 = 1.7958333333

1.7958333333 rounds up to 1.80

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This is a late answer but other people might need it :)

I put B as my answer and I got it wrong, I tried again and put C and got it right.

Answer:

34

Step-by-step explanation:

:)

Answer:

34

Step-by-step explanation:

Remember that the sum of the angles of a triangle is 180

And since two sides are congruent b = 73

So 180-(73+73) = 34

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:

to find surface area of cylinder

A=2πrh+2πr²

Step-by-step explanation:

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: Option 3 40/41

Step-by-step explanation:

Sin of angle A means the opposite over hypotenuse. The opposite of Angle A is 40 and the hypotenuse is 41 so SinA is 40/41

Answer:

option 3:  [tex]\frac{40}{41}[/tex]

Step-by-step explanation:

SOH CAH TOA

sine = [tex]\frac{opposite}{hypotenuse}[/tex]

sine A = [tex]\frac{40}{41}[/tex]

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:

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:

4 cups

Step-by-step explanation:

Number of cups of milk for 5 servings = [tex]2\frac{1}{2} =\frac{5}{2}[/tex] cups

First find number of cups of milk for 1 serving.

Number of cups of milk for 1 serving = [tex]\frac{\frac{5}{2} }{5}=\frac{1}{2}[/tex] cup

Now find umber of cups of milk for 8 servings.

Therefore,

Number of cups of milk for 8 servings = [tex]8(\frac{1}{2})=4[/tex] cups

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

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:

6

Step-by-step explanation:

Correct Question:

Otero translated the phrase "three less than a number" into the expression 3 minus x. Which best describes the accuracy of Otero's expression?.

a. It is accurate. The phrase can be translated as "three" = 3, "less than" = subtraction, and "a number" = X, SO 3- X is the correct expression.

b. It is inaccurate. Three is being subtracted from a number, so X-3 is what he should have written.

c. It is inaccurate. Three is being compared to a number, so 3 It is inaccurate. Three is being added to a number, so 3+ x is what he should have written.

Answer:

The answer is B because three less than a number means that a 3 is less than some number X meaning three is being subtracted from X. So equation should be X-3 rather than 3-X.

Step-by-step explanation:

Answer:

The answer is c i just took this test lol

Step-by-step explanation:

have a good day :)