Answer: 81°
Explanation:
1) Law of cosines:
In a triangle with sides a, b, c whose opposite angles are, respectively, A, B and C, the law of cosines states:
b² = a² + c² - 2 (a)(c) cos (B)
2) In the triangle of the figure you have
b = 4.0
B = ?
a = 2.2
c = 3.7
⇒ (4.0)² = (2.2)² + (3.7)² - 2 (2.2) (3.7) cos(B)
⇒ 16 = 4.84 + 13.69 - 16.28cos(B)
⇒ 16.28 cos(B) = 4.84 + 13.69 - 16 = 2.53
⇒ cos(B) = 2.53 / 16.28
⇒ X = arccos(2.53 / 16.28 ) = 81.06° ≈ 81°
Answer:
w = 2/9.
Good luck! This Is Correct, BTW
Answer:
B. 33
Step-by-step explanation:
Let the number of Fuji trees be F, the number of gala be G and the total number of trees be x.
10% cross pollinated, this means 1/10 cross pollinated or 0.1x
Number of Fuji plus cross pollinated is 187.
And cross pollinated is 3/4 of total or let’s say 0.75 of total which is 0.75x
Now, adding 0.1x + 0.75x would equal 187
0.85x = 187
x = 187/0.85 = 220 trees
The total number of trees is 220.
The number of gala trees is thus 220 - 187 = 33 trees
Answer:
<u>The initial deposit that Terry made was $ 150</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Future Value of the account = $ 156
Interest rate = 4% simple interest = 0.04
Terry did not make any withdrawal or deposits
2. What was the beginnings amount of money in Terry's account?
Let's recall the simple interest formula for answer this question:
FV = P * (1 + rt)
Replacing with the values we have:
156 = P * (1 + 0.04)
156 = 1.04p
P = 156/1.04
P = 150
<u>The initial deposit that Terry made was $ 150</u>
Answer:
a) 44
b) 11
c) 4
Step-by-step explanation:
a) x + 46 = 90
x = 90 - 46
x = 44
b) 9x + 81 = 180
9x = 180 - 81
9x = 99
x = 11
c) (5x + 30) + 40 = 90
(5x + 30) = 90 - 40 = 50
5x + 30 = 50
5x = 50 - 30
5x = 20
x = 4
