Answer:
a. 
and 41.6
b. 52.1
Step-by-step explanation:
a.
Considering the left side triangle the blue dotted side is the side "opposite" to the angle given and the side 24 is the side that is "adjacent" to the angle given. The trigonometric ratio tan relates opposite to adjacent. Also, let the blue dotted side be y.
<u>Note:</u> the exact value of tan 60 is 
Thus, we can write 
Approximate value (rounded to nearest tenth): 
b.
Considering the triangle to the right, the side "opposite" to the angle given (53 degrees) is 41.6 (just found in part (a)) and the side "hypotenuse" (side opposite to 90 degree angle) is x. The trigonometric ratio sine relates opposite and hypotenuse.
Thus we can write and solve:
Answer:
In a typical kite as shown in picture, it is symmetric around PQ and PQ is perpendicular with RN.
=> Two right triangles PNT and PRT are congruent.
=> angle PRT = angle PNT = 34 deg
=> angle RPT = 90 - angle PRT = 90 - 34 = 56 deg
=> Option A is correct.
Hope this helps!
:)
To find the value of a variable you must know the basics of pre-Algebra.
Example:
2x+9=39
To find he answer of this you must subtract 9 from both sides
Then you are left with…
2x=30
Since 2x=30 means 2 times x equals 30
You can divide 2 from both sides to find the answer
Which is…
x=15
Answer:
0.815
Step-by-step explanation:
First, find the z-scores.
z = (x − μ) / σ
z₁ = (8 − 10) / 1
z₁ = -2
z₂ = (11 − 10) / 1
z₂ = 1
P(-2 < Z < 1) = P(Z < 1) − P(Z < -2)
Use a chart, calculator, or the empirical rule to find the probability.
Using the empirical rule:
P(-2 < Z < 1) = 0.84 − 0.025
P(-2 < Z < 1) = 0.815
Using a chart:
P(-2 < Z < 1) = 0.8413 − 0.0228
P(-2 < Z < 1) = 0.8185
Answer:
1)C 2)B 3)B 4) D 5) B 6) A 7)B 8)C 9)A 10)B
I hope this help
