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2 years ago

The legs of a right triangle are 6 units and 7 units. What is the length of the hypotenuse?

Mathematics

1 answer:

Ksju [112]2 years ago

3 0

Answer: Square root 85 units

Step-by-step explanation:

Given: The legs of a right triangle are 6 units and 7 units.

Let h be the hypotenuse of the right triangle.

By Pythagoras theorem of right triangle, we have

$h=\sqrt{6^2+7^2}\\\\\Rightarrow\ h=\sqrt{36+49}\\\\\Rightarrow\ h=\sqrt{85}$

Hence, the length of the hypotenuse $=\sqrt{85}\text{ units.}$

Pythagoras theorem of right triangle says that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

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A skull cleaning factory cleans animal skulls of deer, buffalo and other types of animals using flesh-eating beetles. The fact

Strike441 [17]

Answer:

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Step-by-step explanation:

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8 0

2 years ago

The volume of this cube is 27 cubic meters. What is the value of m?

ladessa [460]

Hey ! there

Answer:

n is equal to 3 meters

Step-by-step explanation:

In this question we are provided with a cube having volume 27 cubic meters . And we are asked to find the value of n that is basically its edge .

For finding the value of n we need to know the volume of cube. So ,

$\: \qquad \: \qquad \: \underline{ \boxed{ \frak{Volume_{(Cube)} = a {}^{3} }}}$

Where ,

a refers to edge of cube

SOLUTION : -

Substituting given volume that is 27 m³ and value of a as n in formula :

$\quad \longrightarrow \qquad \: n {}^{3} = 27$

Applying cube root on both sides :

$\quad \longrightarrow \qquad \: \sqrt[3]{n {}^{3} } = \sqrt[3]{27}$

We get ,

$\quad \longrightarrow \qquad \:n= \sqrt[3]{27}$

We know that 3 × 3 × 3 is equal to 27 that means cube root of 27 is 3 . So ,

$\quad \longrightarrow \qquad \: \blue{\underline{\boxed{\frak{ n = 3 \: m}}}} \quad \bigstar$

Henceforth , value of n is ❝ 3 meters ❞

Verifying : -

Now we are checking our answer whether it is wrong or right by substituting value of n and equating it with given volume that is 27 cubic meters . So ,

a³ = 27 ( where a is equal to n )

Substituting values :

( 3 )³ = 27

3 × 3 × 3 = 27

9 × 3 = 27

27 = 27

L.H.S = R.H.S

Hence, Verified .

Therefore, our answer is correct .

<h2>#Keep Learning</h2>

6 0

1 year ago

Read 2 more answers

In a ABC shown below, side AC is extended to point D with m Z DAB= (180 – 3x) °, mZ B= (6x – 40) °, and m ZC = (x+20) °.

Dmitry_Shevchenko [17]

Answer:

60°

Step-by-step explanation:

Given :

DAB= (180 – 3x) °,

mZ B= (6x – 40) °, and

m ZC = (x+20) °.

DAB = mZ B + m ZC ( the exterior angle equal the sum of the two opposite interior angles)

180 - 3x = (6x - 40) + (x + 20)

180 - 3x = 6x - 40 + x + 20

180 - 3x = 6x + x - 40 + 20

180 - 3x = 7x - 20

180 + 20 = 7x + 3x

200 = 10x

x = 200/10

x = 20

Angle B = 6x - 40 = 6(20) - 40 = 120 - 40 = 80

Angle C = x + 20 = 20 + 20 = 40

BAC = 180 - (80 + 40) (SUM OF ANGLES IN A TRIANGLE)

BAC = 180 - 120

BAC = 60°

3 0

3 years ago

What is -1/5+ -2/3 in fraction form

Anton [14]

-13/15 thats the answer

7 0

3 years ago

Read 2 more answers

Rewrite the function by completing the square. f(x)=x^2+16x-46

andrew-mc [135]

Answer:

$f(x)=(x+8)^{2}-110$

Step-by-step explanation:

Completing the square is a multi-step process that involved rewriting an equation such that it has a factored term, a coefficient, and a constant. First, group the equation, then add a term such that the grouped part of the equation can be simplified, then balance the equation, finally simplify and factor the equation.

$f(x)=x^{2} +16x - 46\\$

Group;

$f(x)=(x^{2}+16)-46$

Add in a term that makes the grouped part of the equation a perfect square, this can be done by dividing the linear term by 2, then balancing the equation;

$f(x)=(x^{2}+16x+64)-46-64$

Simplify, factor;

$f(x)=(x+8)^{2} - 110$

8 0

2 years ago