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3 years ago

10 Troy is building a rectangular garden that is

Mathematics

1 answer:

In-s [12.5K]3 years ago

8 0

Answer:

to ensure 90° corners, the lengths of the diagonal should be the same

Step-by-step explanation:

The Pythagorean theorem can be used to find the expected length of the diagonal. It tells you the square of the diagonal is the sum of the squares of the sides:

d² = (10 ft)² + (6 ft)² = 136 ft²

d = √136 ft ≈ 11.6619 ft ≈ 11 ft 7 15/16 in

The length of each diagonal should be very nearly 11 feet 7 15/16 inches.

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There are 12 balls in a bag. One is blue and one is red. What is the exact probability that the blue ball is drawn first and the

Fiesta28 [93]

<h3>The exact probability that the blue ball is drawn first and the red ball is drawn second is $\frac{1}{132}$ </h3>

Solution:

The probability of an event is given as:

$Probability = \frac{ \text{ number of favorable outcomes }}{ \text{ total number of possible outcomes }}$

Given that,

There are 12 balls in a bag

One is blue and one is red

Favorable outcome = blue ball is drawn first

Favorable outcome = 1

Therefore,

$Probability = \frac{1}{12}$

Now, without replacement, red ball is drawn second

Therefore,

Total possible outcomes = 12 - 1 = 11

$Probability = \frac{1}{11}$

What is the exact probability that the blue ball is drawn first and the red ball is drawn second?

$Total\ probability = \frac{1}{12} \times \frac{1}{11} = \frac{1}{132}$

Thus the exact probability that the blue ball is drawn first and the red ball is drawn second is $\frac{1}{132}$

8 0

3 years ago

-1.2x + 11.45 = 8.21

kondaur [170]

Hi there!

If you solve for $x$ in this problem you would end up with a result of $\boxed{x = 2.7}$ . To find $x$ you need do the following:

First, subtract 11.45 from both sides:

$-1.2x+11.45-11.45=8.21-11.45$

$-1.2x=-3.24$

Next, divide both sides by -1.2:

$\frac{-1.2x}{-1.2} = \frac{-3.24}{-1.2}$

To get the end result of:

$\boxed{x = 2.7}$

-Your friend, ASIAX

7 0

3 years ago

Find the measure of X plz

Ivenika [448]

Answer:

X = 44°

Step-by-step explanation:

The angle other than 68°and and x is also 68° because its a isosceles triangle.

so 68° + 68° + x = 180° (angle sum property)

136° + x = 180°

x = 180 - 136

= 44°

hope this helps.

5 0

3 years ago

Read 2 more answers

Which of the following rules best describes the matrix below? (Picture)

alexdok [17]

Answer:

option b

reflection over the line y = x

Step-by-step explanation:

Matrix for every option is mention below

rotation of 90° counter clockwise about the origin

0 -1

1 0

rotation of 180° about the origin

-1 0

0 -1

for a reflection in the line y=x

0 1

1 0

translation 1 unit left and 1 unit up

1 0

0 1

3 0

3 years ago

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Prove that: sin8A/1-cos8A=cot4A

nikitadnepr [17]

Step-by-step explanation:

Recall the identity

$\tan \frac{A}{2}= \dfrac{1 - \cos A}{\sin A}$

We can see that

$\dfrac{\sin 8A}{1 - \cos 8A} = \dfrac{1}{\tan 4A}= \cot 4A$

8 0

3 years ago