Answer:
Step-by-step explanation:
What is the amplitude, ||, of the height and co-height functions for this car tire
|| = 6
Let () represent the co-height function after rotation by radians, and let () represent the height
function after rotation by radians. Write functions for the co-height and for the height in terms of .
() = ()
() = ()
The co-height graphs are the same but translated 2 inches upward
so our function is:
() = () + 2 or
() = () + 2
Answer:
144 cloves
Step-by-step explanation:
You separate 42 bulbs of garlic into two groups:one for planting and one for cooking.
We have a ratio of planting to cooking
Planting : Cooking
You will plant 3 bulbs for every 4 bulbs that you will use for cooking.
Hence: 3 : 4
The total of their proportion = 3 + 4 = 7
Hence:
The number of garlic you plant =
3/7 × 42 = 18 bulbs of garlic
The number of garlic you use to cook =
4/7 × 42 = 24 bulbs of garlic
We are also told that:
Each bulb has about 8 cloves. How many cloves of garlic will you plant?
From the calculation above , we know the number of bulbs of garlic been planted
= 18 bulbs.
Hence:.
1 bulb = 8 cloves
18 bulbs = x
x = 8 cloves × 18 bulbs
x = 144 cloves
Therefore, you will plant 144 cloves of garlic
Answer:
Step-by-step explanation:
The lengths can be found by considering their ratio:
short : long = 1 : 5
The sum of the ratio units is 1+5 = 6, and the sum of the lengths is 144 inches. That means each "ratio unit" stands for (144 in)/6 = 24 inches of length.
The lengths are ...
1 : 5 = 24 in : 120 in
The pieces are 24 inches and 120 inches in length.
__
Equivalently, you can let s represent the shorter length. Then 5s is the longer one, and their total is ...
s +5s = 144
s = 144/6 = 24
5s = 5(24) = 120
The lengths are 24 inches and 120 inches.
I might be able to give you a hand here!
Answer:
m∠BCD = 120°
Step-by-step explanation:
Since the interior angles of a quadrilateral add up to 360°, then we get:
2x+x+2x+x=360°
6x=360°
<em>Divide both sides by 6</em>
x=60°
Since ∠BCD's value is 2x and x is equal to 60°, then ∠BCD is 120°.
