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Art [367]
3 years ago
5

Triangle abc is a right triangle if side ac=5 and side ab=10 what is the measure of side bc

Mathematics
2 answers:
morpeh [17]3 years ago
7 0

Answer:

Measure of bc is 5√3

Step-by-step explanation:

Given right angled triangle ABC

ac = 5

ab = 10

We know that according to Pythagoras Theorem

Perpendicular² + Base² = Hypotenuse²

then ac² + bc² = ab²

i.e. 5²+ bc² = 10²

25 + bc² =100

subtracting both sides by 25

25 + bc² -25 = 100 -25

bc² = 75

bc =5√3

Thus the measure of side bc is 5√3

Nastasia [14]3 years ago
6 0
You use the pythagoream thereom

10squared = 5squared plus xsquared

square root of (100-25)

the root of 75 would be you answer.

Hope this helps!
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the slope is (yb - ya) / (xb - xa)

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(17-r) / 5 = 4

17 - r = 20

r = 17 - 20

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2 years ago
A king size candy bars costs $1 with each candy bar having 1,472 calories. If you bought 7 candy bars and took 8 days eating the
Gre4nikov [31]

Answer: your mom gay ;)

Step-by-step explanation:

4,500 calories a day

If you ate the same amount each day, that means you would eat 3 a day, since 6 divided by 2 is 3.

Find how many calories you would eat each day by multiplying 3 by 1,500

3(1,500)

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3 years ago
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Sveta_85 [38]

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Step-by-step explanation:

5 0
3 years ago
Expand quadratic equation (2x-3)(x+4) = 0​
OleMash [197]

Answer:

Step-by-step explanation:

Simplifying

(2x + -3)(x + -4) = 0

Reorder the terms:

(-3 + 2x)(x + -4) = 0

Reorder the terms:

(-3 + 2x)(-4 + x) = 0

Multiply (-3 + 2x) * (-4 + x)

(-3(-4 + x) + 2x * (-4 + x)) = 0

((-4 * -3 + x * -3) + 2x * (-4 + x)) = 0

((12 + -3x) + 2x * (-4 + x)) = 0

(12 + -3x + (-4 * 2x + x * 2x)) = 0

(12 + -3x + (-8x + 2x2)) = 0

Combine like terms: -3x + -8x = -11x

(12 + -11x + 2x2) = 0

Solving

12 + -11x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.

(3 + -2x)(4 + -1x) = 0

Subproblem 1

Set the factor '(3 + -2x)' equal to zero and attempt to solve:

Simplifying

3 + -2x = 0

Solving

3 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + -2x = 0 + -3

Combine like terms: 3 + -3 = 0

0 + -2x = 0 + -3

-2x = 0 + -3

Combine like terms: 0 + -3 = -3

-2x = -3

Divide each side by '-2'.

x = 1.5

Simplifying

x = 1.5

Subproblem 2

Set the factor '(4 + -1x)' equal to zero and attempt to solve:

Simplifying

4 + -1x = 0

Solving

4 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-4' to each side of the equation.

4 + -4 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0

0 + -1x = 0 + -4

-1x = 0 + -4

Combine like terms: 0 + -4 = -4

-1x = -4

Divide each side by '-1'.

x = 4

Simplifying

x = 4

Solution

x = {1.5, 4}

6 0
2 years ago
Read 2 more answers
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Xelga [282]

Answer:


Step-by-step explanation:

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On the left side you have

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5 less than 9 times a number means 9x - 5

Now you shift to the right

x = 3

x + 19  What you get is

9x - 5 = x + 19        Subtract x from both sides of the equation

9x - x - 5 = 19        Combine both x terms on the left

8x - 5 = 19             Add 5 to both sides.

8x - 5 + 5 = 19 + 5 Combine terms

8x = 24                  Divide by 8

x = 24/8

x = 3

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3 years ago
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