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Liono4ka [1.6K]
2 years ago
11

Find the length of the hypotenuse. Use Pythagoras' theorem c2 = a2 + b2

Mathematics
2 answers:
spayn [35]2 years ago
5 0

Answer:

Hypotenuse = 26

Step-by-step explanation:

Given,

  • Base = 24,
  • Perpendicular = 10
  • Hypotenuse = ?

Solution:

We know that,

  • Pythagoras theorem = (Base)²+(Perpendicular)² = (Hypotenuse)²(which is c²)

Substituting the values:

  • (24)² + (10)² = c²

Solving for hypotenuse,

  • 576 + 100 = c²
  • 676 = c²
  • √(676) = c
  • √(26*26) = c
  • 26 = Hypotenuse

Therefore, Hypotenuse is 26.

melisa1 [442]2 years ago
4 0
Answer: 26

Step-by-Step Explanation:

a = 10
b = 24
c = ?

Using Pythagoras Theorem,
c^2 = a^2 + b^2
c^2 = 10^2 + 24^2
c^2 = 100 + 576
c^2 = 676
=> c = √676 = 26

Hence, c = 26
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Write a numerical expression that represents the quotient of 85 minus 7 and 19
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Answer:

85-7-19 or 85-26

Step-by-step explanation:

4 0
3 years ago
Which expressions are equivalent to -2(5x-1)+7(5x-1)-3(-5x+1)
blondinia [14]

Answer:

x=1/5

Step-by-step explanation:

To solve this question we will have to open the bracket first

So let's go back to the given question

-2(5x-1)+7(5x-1)-3(-5x+1)

We can actually equate the equation to zero

Let's solve

-10x+2+35x-7+15x-3=0

Let's collect like terms

-10x+35x+15x=-2+7+3

40x=8

Let's make x the subject of formula by dividing both sides by 40

x=1/5

So the final answer is 1/5

8 0
3 years ago
What is the following simplified product? Assume x greater-than-or-equal-to 0 2 StartRoot 8 x cubed EndRoot (3 StartRoot 10 x Su
dalvyx [7]

The simplified expression of 2√8x³(3√10x⁴ - x√5x²) is 24x³√5x  - 4x³√10x

<h3>How to determine the simplified product?</h3>

The complete question is added as an attachment

From the attached figure, the product expression is:

2√8x³(3√10x⁴ - x√5x²)

Evaluate the exponents

2√8x³(3√10x⁴ - x√5x²) =  2 *2x√2x(3x²√10 - x²√5)

Evaluate the products

2√8x³(3√10x⁴ - x√5x²) =  4x√2x(3x²√10 - x²√5)

Open the bracket

2√8x³(3√10x⁴ - x√5x²) =  12x³√20x  - 4x³√10x

Evaluate the exponents

2√8x³(3√10x⁴ - x√5x²) = 24x³√5x  - 4x³√10x

Hence, the simplified expression of 2√8x³(3√10x⁴ - x√5x²) is 24x³√5x  - 4x³√10x

Read more about expressions at:

brainly.com/question/12990602

#SPJ1

5 0
2 years ago
Given the line segment , state the ratio of the segment partitions as. Be sure to reduce fractions
Effectus [21]

Answer/Step-by-step explanation:

Line segment AB consists of segment AC and segment CB.

AC = 7 cm

CB = 21 cm

The entire segment, AB = 21 + 7 = 28cm

The ratio of the segments partitions can be stated as follows:

Ratio of AC to CB = AC:CB = 7:21 = 1:3 = \frac{1}{3}

AC is ¼ of AB (\frac{1}{1 + 3} = \frac{1}{4})

CB is ¾ of AB (\frac{3}{1 + 3} = \frac{3}{4})

4 0
3 years ago
Please help me this is due tomorrow thank you
marusya05 [52]

Answer:

The answer is option B.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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