All categories

2 years ago

Please help, I am so confused

Mathematics

1 answer:

Dmitry_Shevchenko [17]2 years ago

5 0

Answer:

$\huge\boxed{25.2\ m}$

Step-by-step explanation:

In order to find the length of the missing side here, we must note that these triangles are similar.

Therefore their lengths are proportionate to each other.

So,

$\frac{27.6}{11.5} = \frac{x}{10.5}$

We can solve for x by cross multiplying.

$10.5\cdot 27.6 = 289.8\\\\289.8 \div 11.5 = 25.2$

Hope this helped!

You might be interested in

Which angles are vertical to each other?

Nutka1998 [239]

The two vertical angles are FDE and JDI

8 0

3 years ago

Read 2 more answers

A common way for two people to settle a frivolous dispute is to play a game of rock-paper-scissors. In this game, each person si

Leokris [45]

Answer:

(a) P(A) = 0.34

(b) P(B) = 0.33

(c) P(C) = 0.33

(d) The Complement of event A = 1 - P(A) = 0.66

Step-by-step explanation:

We are given that in the long run, roommate A chooses rock 36% of the time, and roommate B chooses rock 22% of the time; roommate A selects paper 32% of the time, and roommate B selects paper 25% of the time; roommate A chooses scissors 32% of the time, and roommate B chooses scissors 53% of the time.

Let the probability that roommate A chooses rock = P( $R_A$ ) = 0.36

The probability that roommate A chooses paper = P( $P_A$ ) = 0.32

The probability that roommate A chooses scissors = P( $S_A$ ) = 0.32

The probability that roommate B chooses rock = P( $R_B$ ) = 0.22

The probability that roommate B chooses paper = P( $P_B$ ) = 0.25

The probability that roommate B chooses scissors = P( $S_B$ ) = 0.53

(a) Let A = event that roommate A wins the game and thus does not have to wash the dishes.

This will happen only when roommate A chooses rock and roommate B chooses scissors or roommate A chooses paper and roommate B chooses rock or roommate A chooses scissors and roommate B chooses paper.

So, P(A) = $P(R_A) \times P(S_B) + P(P_A) \times P(R_B) + P(S_A) \times P(P_B)$

= (0.36 $\times$ 0.53) + (0.32 $\times$ 0.22) + (0.32 $\times$ 0.25)

= 0.1908 + 0.0704 + 0.08

P(A) = 0.34

(b) Let B = event that roommate B wins the game and thus does not have to wash the dishes.

This will happen only when roommate B chooses rock and roommate A chooses scissors or roommate B chooses paper and roommate A chooses rock or roommate B chooses scissors and roommate A chooses paper.

So, P(B) = $P(R_B) \times P(S_A) + P(P_B) \times P(R_A) + P(S_B) \times P(P_A)$

= (0.22 $\times$ 0.32) + (0.25 $\times$ 0.36) + (0.53 $\times$ 0.32)

= 0.0704 + 0.09 + 0.1696

P(B) = 0.33

(c) Let C = event that the game ends in a tie.

This will happen only when roommate A chooses rock and roommate B also chooses rock or roommate A chooses paper and roommate B also chooses paper or roommate A chooses scissors and roommate B also chooses scissors.

So, P(C) = $P(R_A) \times P(R_B) + P(P_A) \times P(P_B) + P(S_A) \times P(S_B)$

= (0.36 $\times$ 0.22) + (0.32 $\times$ 0.25) + (0.32 $\times$ 0.53)

= 0.0792 + 0.08 + 0.1696

P(C) = 0.3288 ≈ 0.33

(d) The complement of event A = P(A') = 1 - P(A)

= 1 - 0.34 = 0.66.

4 0

3 years ago

The median price, P, of a home rose from $50 thousand in 1980 to $150 thousand in 2000. Let t be the number of years since 1980.

Assoli18 [71]

150,000 = 50000a^20
a^20 = 150000/50000 = 3
a = 20th root of 3 = 1.056467

Required equation is P = 50000(1.056467)^t

6 0

2 years ago

Read 2 more answers

“6 is 6.25% of what number?”

miv72 [106K]

0.0625x = 6
x = 6/0.0625
x = 96

6 is 6.25% of 96

5 0

2 years ago

Help. What is the slope.

My name is Ann [436]

Answers: choice C) -4

----------------------------------------------------------
----------------------------------------------------------

Explanation:

There are two basic ways to find the slope.
-----------------------------------
The first way is where we use the slope formula
m = (y2-y1)/(x2-x1)
The two points are (x1,y1) = (-1,8) and (x2,y2) = (2,-4)
Plug the coordinate of those points into the slope formula, then simplify
m = (y2-y1)/(x2-x1)
m = (-4-8)/(2-(-1))
m = (-4-8)/(2+1)
m = (-12)/(3)
m = -4

The slope is -4

-----------------------------------
The second way is to use a more visually oriented approach.
Start at (-1,8).
Draw a straight vertical line through this point. Then move to the point (2,-4) and draw a completely flat horizontal line through this point.
Mark the intersection between these two lines (vertical and horizontal) as point A

Now go back to (-1,8). Count the number of spaces you must move down to go from (-1,8) to point A. You should count out 12 spaces. This is the run, which in this case is negative since we're going downhill as we move from left to right

Then count 3 spaces to go from point A to (2,-4). This is the run

Rise = -12
Run = 3
Slope = Rise/Run = -12/3 = -4

As you can probably see, this effectively mirrors some parts of the slope formula above

No matter which method you use, the slope is -4

-4 is the same as -4/1

A slope of -4/1 means we go down 4 units and then move to the right 1 unit

So that means rise/run = -12/3 is the same as saying rise/run = -4/1

3 0

3 years ago