Given right triangle ABC. To the nearest degree, find the measure of angle B.
1 answer:
Answer:
Step-by-step explanation:
We have the length of AC which is opposite angle B; we also have the length of the hypotenuse. We will use trig here to solve for angle B. The sin ratio is the one that fits.
sin(B) = side opposite / hypotenuse:
so
sin(B) = .9411764706
Now we will use the 2nd button on our calculators. This will give us the missing angle value. Press 2nd then sin and you will see on your screen:
Enter that decimal after the open parenthesis and hit "enter" to get
B = 70.25 or 70°
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Answer:
Part A) The probability is closer to 0, because is less than 50%
Part B) The probability is closer to 1, because is greater than 50%
Step-by-step explanation:
we know that
The probability of an event is the ratio of the size of the event space to the size of the sample space.
The size of the sample space is the total number of possible outcomes
The event space is the number of outcomes in the event you are interested in.
so
Let
x------> size of the event space
y-----> size of the sample space
so
Part A) Is the probability of hitting the black circle inside the target closer to 0 or 1?
In this problem we have
x------> is the area of the black circle
y------> is the total area of the square target
<em>Find the area of black circle</em>
<em>Find the total area of the square target</em>
Find the probability
Convert to percentage
The probability is closer to 0, because is less than 50%
Part B) Is the probability of hitting the white portion of the target closer to 0 or 1?
In this problem we have
x------> is the area of the white portion of the target
y------> is the total area of the square target
<em>Find the area of the white portion</em>
The area is equal to the area of the square minus the area of the circle
Find the probability
Convert to percentage
The probability is closer to 1, because is greater than 50%
Answer:
Step-by-step explanation:
Use the distributive property.
<u>Distributive property:</u>
<h3>⇒ A(B+C)=AB+AC</h3>⇒ 5*5=25
⇒ 5*8=40
<u>Rewrite the problem.</u>
⇒ 5*5a+5*8
<u>Solve.</u>
<u>Multiply.</u>
⇒ 5*5a=25a
⇒ 5*8=40
<u>Rewrite the expression.</u>
<u>⇒ = 25a+40</u>
- <u>Therefore, the correct answer is 5(5a+8).</u>
I hope this helps! Let me know if you have any questions.