Question

Insert <, >, or = to make the sentence true.


A. =
B. <
C. >

Answer 1

?

Answer 2

?

Answer 3

\[\sqrt{3} (?) \sqrt{7}\]

Answer 4

< i believe

Answer 5

<

Answer 6

<

Answer 7

sq rt 3 = 1.73
sq rt 7 = 2.65

sq rt 3 < sq rt 7

Answer 8

one more question? :)

Answer 9

Use an algebraic equation to solve the problem.

The sides of a triangle are in the ratio 3 : 4 : 5. What is the length of each side if the perimeter of the triangle is 90 cm?
A. 7.5 cm, 11.5 cm, and 32.1 cm
B. 10.5 cm, 11.5 cm, and 12.5 cm
C. 22.5 cm, 30 cm, and 37.5 cm
D. 19.3 cm, 25.7 cm, and 32.1 cm

Answer 10

C

Answer 11

c

Answer 12

a2+b2=c2
I wanted to check if it was going to be a right triangle, so using the ratios I plugged them in to find out;
3:4:5
32+42=52
9+16=25
25=25
So, it is a right triangle, meaning one of the answers has to fit with the equation of the Pythagorean Theorem;
a2+b2=c2
So let's try them out until we hit one that works;

B) 10.5cm, 11.5cm, 12.5cm
10.52+11.52=12.52
110.25+132.25=156.25
242.5=156.25
It is false, so the answer is not A.

C) 22.5cm, 30cm, 37.5cm
22.52+302=37.52
506.25+900=1406.25
1406.25=1406.25

Ding ding ding...we have a winner! The answer is C. I could figure out the rest if you wish, or maybe you can instead.

Answer 13

B) 10.5cm, 11.5cm, 12.5cm
10.52+11.52=12.52
110.25+132.25=156.25
242.5=156.25
It is false, so the answer is not *b

Answer 14

Thank you guys!

Answer 15

Combine like terms. What is a simpler form of the expression?

-3(-4y + 3) + 7y

A. 19y - 9

B. 10y
C. -19y + 3
D. -19y - 9