Given the triangles ABC and PQR.
Angle A = Angle P
Angle B = Angle Q
Angle C = Angle R
Angle B = 3v+4
Angle Q = 8v-6
Let's find v
3v+4 = 8v-6
-5v = -10
v = 2
Angle B = 3v + 4
Angle B = 3(2) + 4
Angle B = 10.
The correct answer is letter C. 10
Answer:
229.5
Step-by-step explanation:
In order to calculate the area of the arrow we need to calculate the area of the body of the arrow, and then the head of the arrow. The body of the arrow is a rectangle meaning that the area (Ar) can be calculated by multiplying the length by the height like so...
Ar = l * h
Ar = 11cm * 12cm
Ar = 132 
Now we need to find the area of the head of the arrow, which is a triangle and therefore we can use the formula for the area of a triangle (At) which is height times base divided by 2...
At = 
At = 
At = 
At = 97.5
Now we simply add both areas together to calculate the total area of the arrow...
132
+ 97.5
= 229.5
Answer:
x = 4
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² + 1² = 9²
x² + 1 = 81 ( subtract 1 from both sides )
x² = 80 ( take square root of both sides )
x =
=
=
×
= 4
I’m not really for sure...but
I’d say it’s
x is negative and y is negative
Hope I’m Correct Sorry If I’m Not :)
Using the binomial distribution, the probabilities are given as follows:
a) 0.4159 = 41.59%.
b) 0.5610 = 56.10%.
c) 0.8549 = 85.49%.
<h3>What is the binomial distribution formula?</h3>
The formula is:


The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
For this problem, the values of the parameters are:
n = 3, p = 0.76.
Item a:
The probability is P(X = 2), hence:


Item b:
The probability is P(X < 3), hence:
P(X < 3) = 1 - P(X = 3)
In which:


Then:
P(X < 3) = 1 - P(X = 3) = 1 - 0.4390 = 0.5610 = 56.10%.
Item c:
The probability is:

More can be learned about the binomial distribution at brainly.com/question/24863377
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