Answer:
Q1
cos 59° = x/16
x = 16 cos 59°
x = 8.24
Q2
BC is given 23 mi
Maybe AB is needed
AB = √34² + 23² = 41 (rounded)
Q3
BC² = AB² - AC²
BC = √(37² - 12²) = 35
Q4
Let the angle is x
cos x = 19/20
x = arccos (19/20)
x = 18.2° (rounded)
Q5
See attached
Added point D and segments AD and DC to help with calculation
BC² = BD² + DC² = (AB + AD)² + DC²
Find the length of added red segments
AD = AC cos 65° = 14 cos 65° = 5.9
DC = AC sin 65° = 14 sin 65° = 12.7
Now we can find the value of BC
BC² = (19 + 5.9)² + 12.7²
BC = √781.3
BC = 28.0 yd
All calculations are rounded
Answer:
The line is y=1x+8
Step-by-step explanation:
We can use point-slope form of a line to make an equation. Point-slope form is as follows:
y-y₁=m(x-x₁)
**The variables y₁ and x₁ are where we will plug in our given coordinates and the variable m is your slope.
1. Plug in the given info:
y-10=1(x-2)
2. Distribute the 1:
y-10=1x-2
3. Add 10 to both sides:
y=1x+8
Answer:
The correct answer is 7.
Step-by-step explanation:
Let there be x number of candies in each bag filled by Ken and Mali.
Both Ken and Mali started with equal number of candies and put same number of candies in each bag.
Ken filled nine bags and had three candies left. Therefore total number of candies Ken had = 9x + 3.
Mali filled eight bags and had ten candies left. Therefore total number of candies Mali had = 8x + 10.
As both had equal number of candies in the beginning,
9x + 3 = 8x + 10
⇒ x = 10 - 3 = 7
Thus each bag contained 7 candies.
