On a map 1 cm = 50 mi. On the map, Grand Canyon is 4 cm from Phoenix. What is the actual distance?

Charlie is standing 45 feet from the base of 100 foot tall tree. What is the angle of elevation from him to the kite stuck on to

galben [10]

Hey. Let me help you on this one.

In order for us to solve this problem easier, let's break it apart. We can also graph the triangle so we get visual of this problem.

I drew a quick graph for you to easier understand this question. As you can see, Charlie is standing below the tree 45 feet from it, and we need to find the unknown angle measure.

Let's form a SOHCAHTOA function which you have probably already learned in your Geometry course.

First of all let's identify our sides. The side opposite of the right triangle is a Hypotenuse, and the side that's 45 feet is adjacent, since it's adjacent to the unknown angle.

We know that we need to use $Cos$ (Cosine) with negative power to it in order to solve this question, since we are looking for the unknown angle measure.

Let's form the function which $Cos$ , Hypotenuse, and Adjacent side.

$Cos^{-1} =45/100$

Now, let's solve the left part of this function

$
Cos^{-1} =0.45$

Awesome. You will need to use your calculator for this part. Find the value of 0.45 when negative Cosine is used on it.

$Cos^{-1} =0.45$
$63.25631605$

Awesome. Let's round this number to the closest tenth

$63.3$ is the rounded value we have discussed below.

Answer: 63.3 degrees is the unknown measure of the angle

5 0

3 years ago

U.s. air has a net income before tax 60,000. it is expected 45% of net income will go to federal and state taxes. how much will

muminat

60,000 times .45= 27000
60,000-27,000= 33,000
US air will have $30,000 left after federal and state taxes

3 0

3 years ago

What is the slope of the equation Y=5/4x-7/4?

maksim [4K]

Answer:

Step-by-step explanation:

Compare the equation with y = mx + b where m is slope and b is y intercept

y = (5/4)x - (7/4)

Slope = m = 5/4

4 0

3 years ago

Use the formula for the probability of two dependent events P(A and B) to derive the conditional probability formula for P(B | A

gregori [183]

The conditional probability formula for P(B | A) has been derived from two dependent events P(A and B).

<h3>What is said to be dependent events?</h3>

When the outcome from one event influences the outcome of the other, two events are referred to as dependent.

Dependent events in probability are generally real-life events that depend on another event to occur.
Sam, for example, did well on his math test because he prepared; the gym class used to have a football session even though Adam brought a football from home.
When you look at these examples, you will realize that one occurrence is dependent on the other.

Derivation of conditional probability from two dependent events P(A and B) is-

The probability multiplication rule is used to derive the conditional probability formula, P(A and B) = P(A)×P(B|A).

This rule is also known as P(AB). The Union symbol (∪) represents "and," as in event A occurring and event B occurring.

Step 1: Write the multiplication rule down:

P(A and B) = P(A)*P(B|A)

Step 2: P(A) divides both sides of the equation:

P(A and B) / P(A) = P(A)*P(B|A) / / P(A)

Step 3: On the right side of the equation, cancel P(A):

P(A and B) / P(A) = P(B|A)

Step 4: Rewrite the equation as follows:

P(B|A) = P(A and B) / P(A)

Therefore, P(B | A) conditional probability formula is compiled from two dependent events P (A and B).

To know more about the conditional probability, here

brainly.com/question/10739997

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8 0

1 year ago

Select the digit in the thousands place for 689,234

Travka [436]

Answer:

The answer is 9

Step-by-step explanation:

600,000, 50,000, 9,000, 200, 30, 4

4 0

2 years ago