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andriy [413]
2 years ago
10

The area of a rectangular patio is 24 3/8

Mathematics
1 answer:
scoray [572]2 years ago
5 0

Answer:

6 1/2

Step-by-step explanation:

Use the area formula: A=LengthxWidth

Plug in what we know: 24 3/8= 3 3/4x Width

We need to isolate the width; get it by itself.

Do this by (24 3/8)/(3 3/4). The best way is to enter this into a calculator.

Your answer is 6 1/2

You might be interested in
given sin A =3/-/34 and that angle S is in quadrant 1, find the exact value of tan A in simplest radical form using a ration
Vedmedyk [2.9K]

Answer:

\tan(A) = \frac{3}{5}

Step-by-step explanation:

Given

\sin(A) = \frac{3}{\sqrt {34}}

0 \le A \le 90 --- First Quadrant

Required

Find tan(A)

The sin of an angle is:

\tan(A) = \frac{Opposite}{Hypotenuse}

and

\sin(A) = \frac{3}{\sqrt {34}}

By comparison:

Opposite = 3

Hypotenuse = \sqrt{34

So, the Adjacent is:

Hypotenuse^2 = Adjacent^2 + Opposite^2

(\sqrt{34})^2 = Adjacent^2 + 3^2

34 = Adjacent^2 + 9

Collect like terms

Adjacent^2 =34 - 9

Adjacent^2 =25

Take square roots

Adjacent =\sqrt{25

Adjacent =5

The tangent of an angle is:

\tan(A) = \frac{Opposite}{Adjacent}

This gives:

\tan(A) = \frac{3}{5}

8 0
3 years ago
-6y+y2+3-4y2-7+1-4y<br> Please help
vaieri [72.5K]
-6y+y2+3-4y2-7+1-4y in simplified form is -10y-3y^2-3
5 0
2 years ago
There is a 15% it will rain on both Saturday and Sunday. There is a 60% chance of rain on Saturday. What is the chance of
Artemon [7]

Answer:

25%

Step-by-step explanation:

This question is about conditional probability. Let's say that the probability of raining on Saturday is X=true and the probability of raining on Sunday is Y=true. There is a 15% it will rain on both Saturday and Sunday, to put into the equation it will be:

P(X= true ∩ Y = true) = P(X = true) * P(Y = true)= 0.15

There is a 60% chance of rain on Saturday, mean the  equation is

P(X = true) = 0.6

The question is asking for the chance of rain on Sunday or P(Y = true). If we substitute the second equation to first, it will be:

P(X = true) * P(Y = true)= 0.15

0.6* P(Y = true)= 0.15

P(Y = true)= 0.15/0.6

P(Y = true)= 0.25 = 25%

5 0
3 years ago
A yellow ball, a red ball, a white ball and a
OleMash [197]

Answer:

1/4 chance (this is equal to 25% as a percentage or 0.25 as a decimal)

Step-by-step explanation:

There are 4 balls and only one can be first. As there is only 1 yellow ball, there is 1/4 chance that the yellow ball is picked first.

4 0
3 years ago
Show how to multiply 6 x 298 using friendly numbers and then use properties and mental math.
Black_prince [1.1K]

For this case we have the following multiplication:

6 * 298

We can rewrite this operation to facilitate the calculation.

We have then:

6 * 298 = 6 * (200 + 90 + 8)

From here, we apply the distributive property.

We have then:

6 * 200 + 6 * 90 + 6 * 8

Rewriting we have:

1200 + 540 + 48

Finally adding all the numbers we have:

1200 + 540 + 48 = 1788

Answer:

The value of 6 * 298 is 1788 and the calculations can be provided as follows:

6 * 298 = 6 * (200 + 90 + 8)

7 0
3 years ago
Read 2 more answers
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