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spayn [35]
3 years ago
5

1.) Use the Pythagorean Theorem to determine if a triangle with side lengths 28ft., 45ft., 53ft. is a right triangle.

Mathematics
1 answer:
Alenkasestr [34]3 years ago
8 0

Answer:

1. Right Triangle

2. Not Right Triangle

3. Not Right Triangle

Step-by-step explanation:

1. 28² + 45² = 2809 --> 53² = 2809

2. 6² + 6² = 72 --> 8² = 64

3. 4² + 10² = 116 --> 12² = 144

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Find the composite function (please help)
anastassius [24]

Answer:

(f o h)(x) = -10x + 32

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

<u>Algebra I</u>

  • Composite Functions

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 2x³ + 8

h(x) = ∛(12 - 5x)

(f o h)(x) is f(h(x))

<u>Step 2: Find Composite Function</u>

  1. Substitute:                         (f o h)(x) = 2(∛(12 - 5x))³ + 8
  2. Evaluate:                            (f o h)(x) = 2(12 - 5x) + 8
  3. Distribute 2:                       (f o h)(x) = 24 - 10x + 8
  4. Combine like terms:         (f o h)(x) = -10x + 32

And we have our final answer!

8 0
2 years ago
Ryan is planning a party for 138 people.Paper plates are sold in packs of twelve.How many packs of paper does ryan need to buy s
Artyom0805 [142]

Divide the number of people by the number of plates per pack:

138 / 12 = 11.5

He need to buy 12 packs of plates to have enough.

6 0
3 years ago
|x|-8=5 help me pls some one help me
MariettaO [177]
The answer is X=13 because 13-8=5
6 0
3 years ago
Read 2 more answers
What is the LCM of 3,5,7
Lubov Fominskaja [6]

Answer:

The least common multiple would be 105.

Step-by-step explanation:

You would do list out the multiples for each. Or multiply

Since 3 x 30 is 90, and 3 x 5  is 15, This is 105

And since 5 x 20 is 100, and 5 x 1 is 5, This is 105 as well

Also, since 7 x 10 is 70, and 7 x 5 is 35, This is 105.

The LCM is 105

Have a great Day!

4 0
3 years ago
Distance between 2,-5 and 3,-7
joja [24]

Answer:

√5

Step-by-step explanation:

(2 ,-5) = (x_1,y_1)\\(3,-7)=(x_2,y_2)\\\\d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\ \\d = \sqrt{(3-2)^2 +(-7-(-5))^2}\\ \\d = \sqrt{(1)^2+(-7+5)^2}\\ \\d = \sqrt{(1)^2 + (-2)^2}\\ \\d = \sqrt{1 +4}\\ \\d = \sqrt{5}

4 0
3 years ago
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