He made his mistake in Step 2. Tom should have subtracted 4/8 instead of 1/8. The mistake is that he was not consistent when he multiplied Denominators (bottom number) must be the same when handling fractions so Tom must multiply both the numerator and denominator by the SAME number to balance it out. 1/2 x 4/4= 4/8. Subtract. 7/8 - 4/8= 3/8. Tom has 3/8 of a gallon of paint leftover.
Answer:
The answer is 20
Step-by-step explanation:
Answer:
<h2>
cosecθ = 1/sinθ = 11/6√2</h2>
Step-by-step explanation:
Given that cos θ =7/11, cosec θ = 1/sinθ in trigonometry.
Based on SOH, CAH, TOA;
cosθ = adjacent/hypotenuse = 7/11
adjacent = 7 and hyp = 11
Since sinθ = opp/hyp, we need to get the opposite to be able to calculate sinθ.
Using pythagoras theorem to get the opposite;

sinθ = 6√2/11
cosecθ = 1/sinθ = 1/( 6√2/11)
cosecθ = 1/sinθ = 11/6√2
Note the error; cscθ
1/cosθ but cscθ = 1/sinθ
Answer:
A
Step-by-step explanation:
2√6 + 4
The simplified expression is the one in option B.
<h3>
How to simplify the expression?</h3>
Remember that:

With these two, we can rewrite the numerator as:

Replacing that in the given expression, we have:

Now, if we multiply and divide by cos(-x), we get:

Now remember that:

With these two properties:

Then the correct option is B.
If you want to learn more about trigonometric identities:
brainly.com/question/7331447
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