Find each measurement indicated. Round your answer to the nearest tenth.
1 answer:
The measure of the angle B is 30 degree after applying the sin law of triangle.
<h3>What is the triangle?</h3>The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
We have a triangle shown in the picture:
We can apply the sin law of the triangle to find the angle B
SinB = 0.499
B = 29.99 ≈ 30 degree
Thus, the measure of the angle B is 30 degree after applying the sin law of triangle.
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Answer:
a.
Outcome ---------- Probability
S -------------------------- 0.3
T -------------------------- 0.3
A -------------------------- 0.1
I --------------------------- 0.2
S -------------------------- 0.1
b.
c.
Events V and F are not mutually exclusive
Step-by-step explanation:
Given
Solving (a): Outcomes and Probabilities
The text is made of the following makeup.
The probability of each outcome is calculated by dividing the occurrence of each alphabet by the total number of alphabets
So:
In tabular form, we have:
Outcome ---------- Probability
S -------------------------- 0.3
T -------------------------- 0.3
A -------------------------- 0.1
I --------------------------- 0.2
S -------------------------- 0.1
Solving (b)
Calculating P(V)
P(V) = Number of vowels divided by total
The vowels are A and I.
So, number of vowels is 2
Calculating P(F)
P(F) = Number of alphabets from A to M divided by total
Alphabets from A and M are A and I
So, number of alphabets in this category is 2
So:
Solving (c):
Events V and F are not mutually exclusive because both can occur at the same time.
i.e.
An event can be a vowel and still be between A and M
Answer:
238°
Step-by-step explanation:
In a cyclic quadrilateral, the pair of opposite angles add up to 180 degrees.
So, the angle "21x - 2" and the angle "38x + 5" add up to 180.
So, we can write an equation and solve for x first:
x = 3
Now, Arc FGH is DOUBLE of Angle A. Angle A is "38x + 5". We know x, so angle A is:
Angle A = 38x + 5 = 38(3) + 5 = 119
Thus, Arc FGH = 2 * 119 = 238°