Answer:
7
Step-by-step explanation:
Using the exact values for
cos45° =
and tan60° =
, then
2(cos²45° + tan²60°)
= 2( (
)² + (
)² )
= 2(
+ 3 ) ← distribute
= 1 + 6
= 7
Answer:

Step-by-step explanation:
Given that,
The sum of first n term of a sequence is
We need to find the sum of the first 5 terms.
Put n = 5,

So, the sum of first 5 terms is equal to
.
We conclude that he drove 176 miles on the highway
<h3>how many highway miles did he drive?</h3>
Here we have the equation:
A = (1/18)*c + (1/32)*h
Where A is the consumption in gallons of gas, c is the number of miles driven in the city and h is the number of miles driven in the highway.
Here we know that:
A = 8 gallons of gas.
c = 45 miles
Replacing that in the above equation, we can find the value of h.
8 = (1/18)*45 + (1/32)*h
8 - (1/18)*45 = (1/32)*h
32*(8 - (1/18)*45) = h = 176
We conclude that he drove 176 miles on the highway
if you want to learn more about linear equations:
brainly.com/question/1884491
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Answer:
10 and 7
Step-by-step explanation:
First you can list out numbers 1-10 and find thngs that equal 3 when subtracted. Then after you do that see if when you multiply y x 3 subtracted from x if it equals -11.
10-7 =3
10 - (7x3)
10 - 21
-11