Answer:
32 ft
Step-by-step explanation:
From the diagram, the side opposite the 60° angle is 28 feet.
We are looking for the approximate length of the cable.
The approximate length of the cable is the hypotenuse of the triangle shown.
Recall the sine ratio from SOH-CAH-TOA
Which means Sine of the angle is Opposite/Hypotenuse
Let the hypotenuse be h, then we have:
The length of the cable is approximately 32 feet
Answer:
Expanded form : 300,000 +80,000 +2000 +700 +6.
Step-by-step explanation:
Given : 382,706.
To find : Write this number in expanded form.
Solution : We have given 382,706.
We can see 3 is at hundred thousand place = 300,000
8 is at ten thousand place = 80,000.
2 is at thousand place = 2000.
7 is at hundred place = 700.
6 is at ones place = 6
Then
Expanded form : 300,000 +80,000 +2000 +700 +6.
Therefore, Expanded form : 300,000 +80,000 +2000 +700 +6.
Answer:
10. 1/9
11. 1 1/6
12. 1/8
Step-by-step explanation:
10.
He spent 2/3 of 1/6 of the day.
In math, "of" means multiplication, so 2/3 of 1/6 means 2/3 * 1/6.
2/3 * 1/6 = 2/18 = 1/9
He spent 1/9 of the day adding mulch.
11.
He spent 2/3 of 1 3/4 hours.
In math, "of" means multiplication, so 2/3 of 1 3/4 means 2/3 * 1 3/4.
2/3 * 1 3/4 = 2/3 * 7/4 = 14/12 = 7/6 = 1 1/6
He spent 1 1/6 hours working on the project.
12.
She planted 1/6 of 3/4 of the area.
In math, "of" means multiplication, so 1/6 of 3/4 means 1/6 * 3/4.
1/6 * 3/4 = 3/24 = 1/8
She planted carrots in 1/8 of the garden.
Answer:
2x²y³
<em>good luck, i hope this helps :)</em>
What is the value of X?
Simplify:
8x - 10 - 4x = - 12(12x - 20)
Simplify both sides:
8x - 10 - 4x = - 12(12x -20)
8x + - 10 + - 4x = (- 12)(12x) + ( -12)(- 20)
(Distribute:)
8x + - 10 + - 4x = 144x 240
(8x + - 4x) + ( -10) = - 144x + 240 (Combine Like Terms:)
4x + - 10 = - 144x + 240
4x - 10 = - 144x + 240
Add - 144x to both sides:
4x - 10 + 144x = - 144x + 240 + 144x
148x - 10 = 240
Add 10 to both sides:
148x - 10 + 10 = 240 + 10
148x = 250
Divide both sides by 148
148x/148 = 250/148
x = 125/74
Answer: x = 125/74 (Decimal: 1.689189)
Hope that helps!!!!
