9514 1404 393
Answer:
- sin(θ) = 4/5
- cos(θ) = 3/5
- tan(θ) = 4/3
Step-by-step explanation:
The mnemonic SOH CAH TOA was created to help you remember the relevant trig relationships. It is intended to remind you ...
Sin = Opposite/Hypotenuse
sin(θ) = 4/5
Cos = Adjacent/Hypotenuse
cos(θ) = 3/5
Tan = Opposite/Adjacent
tan(θ) = 4/3
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In a right triangle, the opposite side (PQ) is the one that is not part of the angle (∠R = θ). The adjacent side (QR) is the shorter side that makes up the acute angle. The longest side (PR) is the hypotenuse.
Answer:area is 15cm please give me brainlest also a small 2 at the top of 15cm
Step-by-step explanation:
Answer:
Jon is 11 years old
Step-by-step explanation:
We write the following equations describing the sentences of the problem, using the letter M to represent Jon's mom's current age, and j to represent his current age.
First sentence: "<em>Six years ago Jon was one-sixth the age of his mother</em>."
translates into:
J - 6 = (M - 6) / 6
Second sentence: "<em>in four years time his age doubled and increased
</em>
<em>by 10 will match his mother's age</em>."
2 * (J + 4) + 10 = M + 4 which removing parentheses gives: 2 J + 18 = M + 4
We solve for "M" in the first equation
6 (J - 6) = M - 6
6 J - 36 = M - 6
M = 6 J - 30
and now use this result to substitute for M in the second equation
2 J + 18 = (6 J - 30) + 4
and work on solving for J
2 J + 18 = 6 J - 30 + 4
18 + 26 = 6 J - 2 J
44 = 4 J
J = 44 / 4
J = 11
8 quarts = 32 cups
So we have a ratio of 32 : 3/4 cups
And the equal ratio of 4: x
So to solve for x, divide 3/4 by 8.
3/4 divided by 8 = 3/4 •1/8 = 3/32 of a cup of green paint.
