Ask question

Ask question

All categories

3 years ago

5

I don’t understand this

1 answer:

Westkost [7]3 years ago

8 0

What are the direction or it 23

You might be interested in

The vertex angle of an isosceles triangle measures 40°. What is the measure of a base angle?

Katena32 [7]

A triangle has three angles, and their measures add up to 180 degrees.
An isosceles triangle has at least 2 congruent sides, and the angles opposite the congruent sides are congruent.

This triangle has one angle of 40 deg, and two angles that measure the same; call the measure of each base angle x.

x + x + 40 = 180

2x + 40 = 180

2x = 140

x = 70

The base angles measure 70 deg.

8 0

3 years ago

Read 2 more answers

A life guard in a tower 20 ft above sea level spots a struggling surfer at an angle of depression of 15 . How far is the surfer

GalinKa [24]

Answer: $19.31\ ft$

Step-by-step explanation:

Given

The tower is at a height of $h=20\ ft$

the angle of depression is $15^{\circ}$

Suppose the surfer is x ft away from the base of the tower

$\therefore \text{From the figure, we can write}\\\\\Rightarrow \cos 15^{\circ}=\dfrac{x}{h}\\\\\Rightarrow x=h\cos 15^{\circ}\\\Rightarrow x=20\cos 15^{\circ}\\\Rightarrow x=19.31\ ft$

Therefore, the surfer is at a distance of 19.31 ft from the base of the tower.

7 0

3 years ago

What is the answer to x+4•7=70

BabaBlast [244]

Answer: 42

Step-by-step explanation:

Multiply 4*7 and get 28 then add 42+28 and get 70

3 0

3 years ago

A gas company charges $0.4544 for each therm used. A home used 39.3 therms in a month. How much will the gas company charge that

podryga [215]

Answer:

$17.85792

Step-by-step explanation:

$0.4544 x 39.3 = $17.85792

7 0

3 years ago

Miguel is a golfer, and he plays on the same course each week. The following table shows the probability distribution for his sc

aivan3 [116]

1) 4.55

2) Short hit

Step-by-step explanation:

1)

The table containing the score and the relative probability of each score is:

Score 3 4 5 6 7

Probability 0.15 0.40 0.25 0.15 0.05

Here we call

X = Miguel's score on the Water Hole

The expected value of a certain variable X is given by:

$E(X)=\sum x_i p_i$

where

$x_i$ are all the possible values that the variable X can take

$p_i$ is the probability that $X=x_i$

Therefore in this problem, the expected value of MIguel's score is given by:

$E(X)=3\cdot 0.15 + 4\cdot 0.40 + 5\cdot 0.25 + 6\cdot 0.15 + 7\cdot 0.05=4.55$

2)

In this problem, we call:

X = Miguel's score on the Water Hole

Here we have that:

- If the long hit is successfull, the expected value of X is

$E(X)=4.2$

- Instead, if the long hit fails, the expected value of X is

$E(X)=5.4$

Here we also know that the probability of a successfull long hit is

$p(L)=0.4$

Which means that the probabilty of an unsuccessfull long hit is

$p(L^c)=1-p(L)=1-0.4=0.6$

Therefore, the expected value of X if Miguel chooses the long hit approach is:

$E(X)=p(L)\cdot 4.2 + p(L^C)\cdot 5.4 = 0.4\cdot 4.2 + 0.6\cdot 5.4 =4.92$

In part 1) of the problem, we saw that the expected value for the short hit was instead

$E(X)=4.55$

Since the expected value for X is lower (=better) for the short hit approach, we can say that the short hit approach is better.

8 0

3 years ago