Answer:
you need 5 buses and 4 will be totally full and one will only be 1/3 full
or you can have 14% of all 5 buses with empty seats
Step-by-step explanation:
Answer:
51.7°
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that ...
Tan = Opposite/Adjacent
tan(D) = EF/FD = 95/75
D = arctan(95/75)
∠D ≈ 51.7°
Step-by-step explanation:
Hey so ok, Ill explain this the best I can.
So you see the 10/2 (10/2 is the fraction just you cant type it in that way)
So 10/2 is litterally 10÷2, which is 5 just imagine that the line inbetween is a division symbol, and it goes from top to bottom, so for example 5/2 would be 5÷2... NOT 2÷5
With this said, to simplify 10/2, just divide the numerator, (Top) by the denominator (bottom) so --> 10÷2 = 5,
so Wednesday would equal 5 (and 5 is the same as 5/1 because 5÷1=5)
Do the same for Thursday 18÷3 = 6
So Thursday would equal 6 (and 6 is the same as 6/1 because 6÷1=6)
and since 6 > 5, (aka 6/1 > 5/1) She ran a longer distance per mile on Thursday, therefore she ran faster on Thursday.
Hopefully I answered your question in the right way.
Answer:
The linear function would be f(x) = 4x - 10
Step-by-step explanation:
In order to find this, we need to take the equation and solve it for y.
y - 2 = 4(x - 3)
y - 2 = 4x - 12
y = 4x - 10
Now we replace the y with f(x) and this is the function.
f(x) = 4x - 10
Answer:
The measure of the first angle is 50°.
Step-by-step explanation:
Let the three angles be <em>a, b, </em>and <em>c. </em>
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The measure of the first angle is twice the measure of the second angle. In other words:
The measure of the third angle is 80° more than the measure of the second angle. In other words:
And since the interior angles of a triangle must equal 180°:
Substitute <em>a</em> and <em>c: </em>
<em />
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Combine like terms:
Subtract 80 from both sides:
And divide both sides by four:
So, the measure of the second angle is 25°.
Since the measure of the first is twice the second, the measure of the first angle is 50°.
(And since the measure of the third is 80° than the second, the measure of the third angle is 105°.)
