Answer:
∠LOM is 48°
Step-by-step explanation:
∠MOL+∠MON=180°
6x°+12°+7x°-92°=180°
13x°-80°=180°
<em>Add 80° to both sides</em>
13x°=260°
<em>Divide both sides by 13</em>
x°=20°
Plugging x° into the equation for ∠LOM, we get:
7×20°-92°=
140°-92°=
48°
∠LOM is 48°
Answer:
= 1/3 * sqrt(1/2)
Step-by-step explanation:
sqrt(1/18)
We know that sqrt(a/b) = sqrt(a)/sqrt(b)
sqrt(1/18)
sqrt(1)/sqrt(18)
1/sqrt(18)
We also know that sqrt(ab) = sqrt(a) sqrt(b)
1/sqrt(18) = 1/ sqrt(9)sqrt(2)
= 1/(3sqrt(2))
= 1/3 * 1/ sqrt(2)
We know that sqrt(a/b) = sqrt(a)/sqrt(b)
= 1/3 * sqrt(1/2)
Answer:
No, Paul will make more money in a year.
Step-by-step explanation:
Monica: 3.6% · 100 = $3.60 made in a year.
Paul: 2.2% · 200 = $4.4 made in a year.
Answer:
20
Step-by-step explanation:
20 fits all of the requirements.
It is between 17 and 22.
2 and 5 are two of its factors.
I hope this helps!
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Answer:
Therefore Length of PQ is 48.9 foot.
Step-by-step explanation:
Given:
In Triangle PQR,
∠R = 90°
∠P = 51°
QR = 38 feet = side opposite to angle P
To Find:
PQ = ? = Hypotenuse
Solution:
In Right angle Triangle PQR Cosine Identity we get,

Substituting the values we get,

Therefore Length of PQ is 48.9 foot.