Answer:
cos(x) = square root 2 over 2; tan(x) = 1
Step-by-step explanation:

was, before it was rationalized,

Therefore,

The side opposite the reference angle measures 1, the hypotenuse measures square root 2. That makes the reference angle a 45 degree angle. From there we can determine that the side adjacent to the reference angle also has a measure of 1. Therefore,
and
since tangent is side opposite (1) over side adjacent (1),
tan(x) = 1
9514 1404 393
Answer:
- Tyler
- 2 hundredths of a mile
Step-by-step explanation:
The graph is a little difficult to read, but we note that there are 6 grid lines between times that are 2 minutes apart. So, each grid line stands for 2/6 = 1/3 minute.
At the 1-mile mark, the graph crosses 1 grid line above 8 minutes, indicating it takes Tyler 8 1/3 minutes to run 1 mile.
Then in 10 minutes, Tyler will run ...
distance = speed · time = 1 mile/(8 1/3 min) · 10 min
= 1/(25/3)·10 = 10·3/25 = 30/25 = 1.2 . . . . miles
__
The equation tells you that Elena runs each mile in 8.5 minutes. To see how far she runs in 10 minutes, we can solve ...
10 = 8.5x
x = 10/8.5 ≈ 1.18 . . . . miles
So, Tyler runs farther in 10 minutes by a distance of ...
1.20 -1.18 = 0.02 . . . . miles
Answer:
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Step-by-step explanation:
gfg
Given, To make a strawberry shortcake for one person, we need :
▪︎
cup of strawberry
▪︎one shortbread biscuit
Quantity of strawberries Elisa has = 3 cups
Number of shortbread biscuits she has = 12
Number of shortcakes she can make :



Thus, Elisa can serve strawberry shortcakes to 9 people.
With 12 dozen shortbread biscuits she can serve 12 people.
Quantity of strawberries needed to serve 12 people :



<h3>○=> Therefore :</h3>
▪︎Elisa can serve strawberry shortcakes to <u>9 people</u>.
▪︎Elisa will need <u>4 cups of strawberries</u> if she wants to use all dozen shortbread biscuits.
1/3 and 33.3 percent are nearly equivalent. 1/3 is actually equal to 33.33333333% (with never ending 3s at the end), so 1/3 is slightly greater than 33.3% (which has only one 3 after the decimal place).