All categories

2 years ago

Find the value of x. show work

Mathematics

1 answer:

dedylja [7]2 years ago

5 0

<h2>Answer:</h2><h2>x = √77</h2><h2>or</h2><h2>x = 8.77</h2>

Step-by-step explanation:

it's a right triangle

Pythagorean theorem

the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse

x² = 9² - 2²

x² = 81 - 4

x² = 77

x = √77

x = 8.77

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

You might be interested in

Out of the 3,000 books, 180 are non-fiction. The rest are fiction. What percent of the books are non-fiction

xenn [34]

Answer:

6% of the books are non-fiction.

Step-by-step explanation:

Calculate the fraction 180/3000 and then multiply the result by 100%"

180

--------- 0.06. Multiplying this by 100%, we get 6%

3000

6% of the books are non-fiction.

8 0

3 years ago

Read 2 more answers

A car is traveling at a speed of miles per hour. What is the car's speed in kilometers per hour? How many kilometers will the ca

mihalych1998 [28]

Complete Question:

As you may have intentionally forgotten to mention the important data elements in your question like at what rate a car is travelling and number of hours car will travel in required number of miles etc. After a little research it seems I have found the complete question you were supposed to write. Hence, I am answering based on this complete question, but anyways, it would certainly improve your concept. Here is the complete question:

A car is traveling at a rate of 60 kilometers per hour. What is the car's rate in miles per hour? How many miles will the car travel in 4 hours? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers.

Answer:

The car will travel 37.5 miles in one hour.

The car travel 150 miles in 4 hours.

Fetching data from Question:

The rate at which car is traveling: 60 kilometers per hour

one mile = 1.6 km

a) How many miles a car will travel in one hour?

b) How many miles will the car travel in 4 hours?

Calculation:

a) How many miles a car will travel in one hour?

As one mile is equal to 1.6 km.

The rate at which car is traveling: 60 kilometers per hour

So, just divide 60 with 1.6 to get in miles

i.e. 60/1.6 = 37.5 miles per hour

So, the car will travel 37.5 miles in one hour.

b) How many miles will the car travel in 4 hours?

As the car will travel 4 hours.

And car travels 37.5 miles in one hour

So, just multiply the number of hours i.e. 4 with the miles in one hour (speed) i.e. 37.5 to calculate the distance in 4 hours. So,

The distance = speed × time

= 37.5 × 4

= 150 miles

So, the car travel 150 miles in 4 hours.

Keywords: distance, speed, kilometers, miles

learn more about distance travel and speed from brainly.com/question/12580265

#learnwithBrainly

4 0

3 years ago

Find the probability of drawing 3 Aces at random from a deck of 52 ordinary playing cards if the cards are:_________

Minchanka [31]

Answer:

A) 1/2197

B) 1/5525

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Total outcome.

Since there are 52 random cards in a deck of card, the total outcome will be 52.

a) Also in a deck of card, there are 4 aces. If we are to select 3 aces with replacement, this means that each time we pick up an ace from the card, it was returned.

Pr(drawing an ace) = 4/52

Pr(drawing 3 aces and replacing it) = 4/52 *4/52*4/52

Pr(drawing 3 aces and replacing it) = 64/140,608

Pr(drawing 3 aces and replacing it) = 1/2197

b) If we pick 3 aces without replacement then each time we pick an ace, the total number cards keeps reducing.

Pr(picking the first ace) = 4/52

Pr(picking the second ace without replacing) = 3/51 (Since we didn't replace the first one, the total ace in the deck of card will reduce to 3 and the total will be 51)

Pr(picking the third ace without replacing) = 2/50 (since we didn't replace the first two aces, the total ace in the deck of card will reduce to 2 and the total will be 50)

Pr(drawing 3 aces without replacement) = 4/52*3/51*2/50

Pr(drawing 3 aces without replacement) = 24/132,600

Pr(drawing 3 aces without replacement) = 1/5525

5 0

3 years ago

In a certain year, there were 92 female officials in Congress, which is comprised of the House of Representatives and the Senate

crimeas [40]

Answer:

There are 78 female members of the House of Representatives and 14 female members of the Senate.

Step-by-step explanation:

Let h equal the amount of female members of the House of Representatives and s equal the amount of female members in the Senate.

Since the amount of female officials in Congress is 92, and is made up of the House of Representatives and the Senate, we can represent this as the equation h+s=92

Since there are 64 more female members in the House of Representatives than female Senators, the senators would need 64 more female members to have the same amount as the House of Representatives. We can represent this as h=s+64.

Substituting, we get s+64+s=92, which simplifies to 2s+64=92. Subtracting 64 from both sides, we get 2s=28, which equals to s=14. There are 14 female senators. Substituting back into h+s=92, 14+s=92, and s=78. Therefore, there are 78 female members of the House of Representatives and 14 female members of the Senate.

8 0

2 years ago

In a lottery game, a player picks six numbers from 1 to 27. If the player matches all six numbers, they win 40,000 dollars. Othe

Alexus [3.1K]

Answer:

We conclude that expected value of this game is -0.865$.

Step-by-step explanation:

We know that in a lottery game, a player picks six numbers from 1 to 27.

We know that

$C_6^{27}=296010$

As there is only one advantageous combination, we conclude that the number of non-winning combinations is 296009.

He can win 40,000 dollars.

We calculate:

$E(X)=\frac{1}{296010}\cdot 40000\$- \frac{296009}{296010}\cdot 1\$\\\\E(X)=\frac{40000-296009}{296010}\, \$\\\\E(X)=-0.865\, \$$

We conclude that expected value of this game is -0.865$.

7 0

3 years ago