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3 years ago

Determine the length of the hypotenuse of a right triangle if the legs have lengths 12 inches and 16 inches?

Mathematics

1 answer:

tiny-mole [99]3 years ago

5 0

Answer:

c = 20 inches

Step-by-step explanation:

To find the sides of a right triangle, you use the Pythagorean Theorem.

a² + b² = c²

You know a and b, and you need to find c, the hypotenuse.

Plug in a and b.

(12)² + (16)² = c²

Simplify by solving the exponents.

144 + 256 = c²

Combine the constants.

400 = c²

Take the square root of both sides.

√400 = √c²

Solve the √

±20 = c

The length cannot be negative, so you can eliminate that as an option.

So, c = 20

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Please help me with this ITS TIMED

NNADVOKAT [17]

Answer:

39?

Step-by-step explanation:

180-102=78

78/2=39

To determine to measure the unknown angle, be sure to use the total sum of 180°. If two angles are given, add them together and then subtract from 180°. If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2.

Hope this helps you understand angles in a triangle

7 0

3 years ago

Two numbers that have a difference of 8.

BlackZzzverrR [31]

Answer:

16/2 = 8

24/3 = 8

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3 years ago

Read 2 more answers

A quadratic function has a line of symmetry at x=-3.5 and zero at -9 what is the distance from the given zero to line of symmetr

g100num [7]

If a quadratic function has zero at x=-9, then point (-9,0) lies on the graph of quadratic function.

A line of symmetry has equation x=-3.5 that is x+3.5=0.

Use formula for the distance from point $(x_0,y_0)$ to the line AX+By+C=0:

$d=\dfrac{|Ax_0+By_0+C|}{\sqrt{A^2+B^2}}.$

Thus,

$d=\dfrac{|-9+3.5|}{\sqrt{1^2+0^2}}=5.5.$

Answer: the distance is 5.5 units.

4 0

3 years ago

A group of 12 adults and 26 children go to a theme park.

tatyana61 [14]

Answer:

45.56923076923077

Step-by-step explanation:

Work out 51.6 x 12 which is 619.2 and subtract that from 1804.80 then x your answer which is 1,184.8 and divide by 26 to get your answer which is 45.569....

3 0

3 years ago

Please help with me with #6

emmainna [20.7K]

So you reversed the subtraction a bit; the equation you're gonna be solving is $3x^2+8x-7-(5x^2+2x-11)$ .

First step ya gonna do is to reverse the + and - symbols in the trinomial thats in the parentheses so your equation looks like $3x^2+8x-7-5x^2-2x+11$

Now just combine like terms and your answer should be $-2x^2+6x+4$

3 0

4 years ago