Answer:
D
21√2/2
C
C
C
Step-by-step explanation:
For all problems, the ratios of the lengths of the sides are:
30-60-90 triangle 1 : √3 : 2
45-45-90 triangle 1 : √2 : √2
Problem 3:
30-60-90 triangle at left
Hypotenuse = 11
Short leg = 11/2
Long leg = 11/2 × √3
45-45-90 triangle at right
x = 11/2 × √3 × √2 = 11√6/2
Answer: D
Problem 4:
30-60-90 triangle at top
Hypotenuse = 7√3
Short leg = 7√3/2
Long leg = 7√3/2 × √3 = 7 × 3/2 = 21/2
45-45-90 triangle at right
x = 21/2 × √2 = 21√2/2
Answer: 21√2/2
Problem 7:
30-60-90 triangle
Long leg = 4√3
Short leg = y = 4√2/2 = 2√2
Answer: C.
Problem 6:
30-60-90 triangle at left
Hypotenuse = 12√6
Short leg = 12√6/2 = 6√6
Long leg = 6√6 × √3 = 6√2√3√3 = 18√2
45-45-90 triangle at right
x = 18√2/√2 = 18
Answer: C.
Problem 8:
45-45-90 triangle
Hypotenuse = 2
Leg = y = 2/√2 = 2√2/(√2√2) = √2
Answer: C.
Answer:
y = (5/3)x +3
Step-by-step explanation:
slope intercept form
Y = mx +b form
so we need to solve the given equation for y
1. 5x-3y =-9
2 . 5x -3y +3y = -9 +3y (adding both sides 3y)
3. 5x = -9 +3y
4. 5x +9 = -9 +9 + 3y (adding 9 to bot sides)
5. 5x +9 = 3y
6. (5/3)x + 9/3 = (3y)/3 ( divide both sides by 3 to get y alone)
so, the final answer will be
y = (5/3)x +3
The quotient when 48a³bc²is divided by 3abc will be 16a²c.
<h3>How to explain the quotient?</h3>
The information given is that we should find the quotient of 48a³bc² ÷ 3abc.
This can be expressed as:
48a³bc² ÷ 3abc = (3 × 16 × a³ × b × c²) / (3 × a × b × c)
= 16a²c
In this case, the quotient when 48a³bc²is divided by 3abc will be 16a²c.
Learn more about quotient on:
brainly.com/question/673545
#SPJ1
The answer is D.8m
you do this by finding the square root of 64.
