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Alexus [3.1K]
3 years ago
10

A triangle with sides of lengths 9,22 and 24 is a right triangle True or false

Mathematics
2 answers:
olya-2409 [2.1K]3 years ago
8 0

Answer:

False

Step-by-step explanation:

Test this theory by using the pythagorean theorem.

for a right triangle with sides a, b and c

if c is they hypotenuse (i.e longest side) then the following must be true:

a² + b² = c² or c = √(a² + b²)

in this case, we assume the longest side to be c=24

also assume a=9 and b = 22

√ (a² + b² )

= √ (9² + 22² )

= √(81 + 484)

= √565

= 23.77 (close but NOT quite 24)

Hence this is NOT a right triangle.

Dmitry [639]3 years ago
5 0

Answer:

False

Step-by-step explanation:

If the triangle is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2

9^2 + 22^2 = 24^2

81+484=576

565 = 576

This is false, so the triangle is not a right triangle

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Answer:

36894

Step-by-step explanation:

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4 0
3 years ago
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Find the volume of the cylinder. height- 10 in. base- 3 in.
uysha [10]

The volume of the cylinder would be:

282.74

7 0
3 years ago
58. 122. 61. None of the choices are correct
In-s [12.5K]

Answer:

C. 61

Step-by-step explanation:

Two sides are equal, so the triangle is an isosceles triangle.

Both base angles are equal.

Angles in a triangle add up to 180 degrees.

58 + x + x = 180

58 + 2x = 180

2x  = 122

x = 61

8 0
3 years ago
Keisha swims 18 ft from one side of her circular pool to the other, swimming straight through the center. She then swims one tim
elena-s [515]

Answer:

Swimming one time around the pool is 56.5 ft

Step-by-step explanation:

Swimming 18 ft from one side of her circular pool to the other, swimming straight through the center means the circular swimming pool has a diameter of d=18 ft.

The circumference of the circle is calculated using:

c = \pi \: d

where d=18 is the diameter and π=3.14 as given.

We substitute the values to get:

c = 3.14 \times 18

c = 56.52

We approximate to the nearest tenth to get:

c = 56.5ft

6 0
3 years ago
What is the inverse of f(x)= cube root of x +2.
DiKsa [7]
F(x)=\sqrt[3]{x+2}
to solve for the inverse of a function you do 4 steps:
1. subsitute f(x) with y
2. switch y and x places
3. solve for y
4. subsitute y with f⁻¹(x)

so we have
f(x)=\sqrt[3]{x+2}
subsitute f(x) with y
y=\sqrt[3]{x+2}
switch x and y
x=\sqrt[3]{y+2}
solve for y

x=\sqrt[3]{y+2}
cube both sides
x^{3}=y+2
subtract 2 from both sides
x^{3}-2=y

subsitute y with f⁻¹(x)
f⁻¹(x)=x^{3}-2



the answer is f⁻¹(x)=x^{3}-2



8 0
3 years ago
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