Use the Triangle Inequality to determine if it is possible to draw a triangle with sides: 16 ft, 17 ft, 20 ft

Answers

Answer 1
Answer:

Answer:

It is possible.

Step-by-step explanation:

Since the shorter two sides (16 and 17 feet) added together are greater than the longest side(20 feet) it meets the triangle inequality theorem


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Evaluate -4 - 5 + 4 + (-5)

Answers

Answer:

-10

Step-by-step explanation:

Answer:

-10

Step-by-step explanation:

it just works

Four times the difference of 17 and a number is 84. Which equation below can be used to find the unknown number?

Answers

4(17-n)=84, 17-n means the difference between 17 and a number multi that by 4 so the answer is 4(17-n)=84

Find the area of the semicircle.

Answers

Answer:

307.72

Step-by-step explanation:

A=3.14×14^2/2

14×14=196

A=3.14×196= 615.44

615.44÷2=307.72

Mr. Lowery has 2 3/4 pounds of ground beef that he will use to make hamburgers for a picnic. What is the maximum number of quarter pound (1/4 lb) hamburgers he can make?Question 9 options:

3


5


11


12

Answers

The answer is 11. I'll explain, so if you don't want to read, don't read. 2 3/4 can be converted to 11/4 by making it improper. You can do this by multiplying the 2 by 4 and adding it to the 3 to get 11/4. Note that if the fraction was something like 5 2/3, you multiply the 5 by 3. Once you have 11/4, you know that Mr. Lowery is making 1/4 pound burgers, so you know that he can make 11 of them.

The height of a square prism is 3n + 1. The volume of the prism is 3n³ + 13n² + 16n + 4. What is the area of the square base of the prism? (Show all steps.)

Answers

If s is the side of the square base, the area of the square base is s^2.
The volume of the square base is,
V = (s²) (h)
s² = V/h
s² =  3n³ + 13n² + 16n + 4 / 3n + 1
You can do this division by factoring, synthetic division, or by plain division.
Factoring out 3n + 1 from the numerator gives you:
s² = (3n + 1)(n² + 4n + 4) / 3n+1
s² = n² + 4n + 4

Therefore, the area of the square base is n² + 4n + 4.

What is the value of sin67.5? use half angle formula

Answers

The solution wouldbe like this for this specific problem:

sin(67.5) = sin(135/2)
sin(x/2) = +/- √((1 - cos(x))/√2
sin(67.5) = √(1 - cos(135))/√2 = √(1 + √2/2)/√2 = √(√2/4 + 1/2) = 0.9239

I am hoping thatthis answer has satisfied your query and it will be able to help you in yourendeavor, and if you would like, feel free to ask another question.