9514 1404 393
Answer:
23.44
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relation ...
Tan = Opposite/Adjacent
tan(38°) = x/30
x = 30·tan(38°) ≈ 23.4386
x ≈ 23.44
Answer:
60
Step-by-step explanation:
180=(x+30)+(4x)
Ok, combine like terms. That'll give you
180=5x+30.
Now solve for x. X is going to equal 30.
Then substitute 30 for x in the angles. One angle will be 60 and the other will be 120.
60 is smaller than 120 so that's your answer.
Answer:
unit
Step-by-step explanation:
Since Here Δ ABC is a isosceles triangle.
Also,
and
Thus, ∠ ADH = 90°
That is, Δ ADH is the right angle triangle.
In which, AD = a unit and HD = b unit
And, By the definition of Pythagoras theorem,
![AH^2 = HD^2 + AD^2](https://tex.z-dn.net/?f=AH%5E2%20%3D%20HD%5E2%20%2B%20AD%5E2)
⇒ ![AH^2 = a^2 +b^2](https://tex.z-dn.net/?f=AH%5E2%20%3D%20a%5E2%20%2Bb%5E2)
⇒ ![AH = \sqrt{a^2+b^2}](https://tex.z-dn.net/?f=AH%20%3D%20%5Csqrt%7Ba%5E2%2Bb%5E2%7D)
Since, the perimeter of a triangle = sum of the all sides of the triangle.
Therefore, perimeter of ΔADH = AD + DH + AH
=
unit
Answer:25
Evan has a summer job to pick berries on a farm.
• He earns
$
2.0$2.00 every
15
15 minutes that he picks strawberries.
• He earns
$
2.40
$2.40 for every
15
15 minutes that he picks blueberries.
• He picked strawberries for an hour and blueberries for
45
45 minutes.
How much money did Evan earn?
Step-by-step explanation: