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Dafna1 [17]
3 years ago
15

Please help for number 8 I don't understand.

Mathematics
1 answer:
Ksju [112]3 years ago
8 0

Answer:

8a. x = 16√3

8b. y = 8√3

Step-by-step explanation:

8a. Determination of the value of x

Adjacent = 24

Hypothenus = x

Angle θ = 30°

The value of x can be obtained by using cosine ratio as illustrated below:

Cos θ = Adjacent /Hypothenus

Cos 30 = 24 / x

√3/2 = 24/x

Cross multiply

x × √3 = 2× 24

x × √3 = 48

Divide both side by √3

x = 48/√3

Rationalise

x = 48/√3 × √3/√3

x = 48√3 / √3 × √3

x = 48√3 / 3

x = 16√3

8b. Determination of the value of y

Opposite = y

Adjacent = 24

Angle θ = 30°

The value of y can be obtained by using Tan ratio as illustrated below:

Tan θ = Opposite / Adjacent

Tan 30 = y / 24

1 / √3 = y /24

Cross multiply

y × √3 = 1 × 24

y × √3 = 24

Divide both side by √3

y = 24 /√3

Rationalise

y = 24 /√3 × √3/√3

y = 24 ×√3 / √3 × √3

y = 24√3 / 3

y = 8√3

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The second hand on a clock is 8 cm long.
Alenkasestr [34]

Answer:

502cm

Step-by-step explanation:

brainliest maybe?

3 0
3 years ago
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ABCD is a square with an area of 49 cm2, and BE = 4.95 cm. Point E is the midpoint of 2 diagonal lines crossed inside the square
dezoksy [38]

Answer:

I suppose we want to find the side length of the square.

We know that:

The area of the square is 49cm^2

The distance between one of the vertices of the square and the middle of the square is:

BE = 4.95cm

Now let's remember some things.

For a square of side length L, the area is:

A = L^2

and the diagonal length is:

D = √(2)*L

In this case, we know that half of the diagonal is equal to:

BE = 4.95 cm

Then the diagonal is:

D = 2*BE = 2*4.95cm = 9.9cm

And for the diagonal formula, we have:

D =  9.9cm = √(2)*L

Then the side length is:

L = 9.9cm/√(2) = 7cm

And if we check the area of this square, is:

A = L^2 = (7cm)^2 = 49cm^2

So it checks.

Then we can conclude that the sidelength of the square is 7cm, which means that:

AB = 7cm

BC = 7cm

CD = 7cm

DA = 7cm

4 0
3 years ago
Please answer fast I don’t understand
schepotkina [342]

√(10) = 3.16 but it asks you to approximate to the nearest integer.

3.16 to the nearest integer = 3

Your answer should be 3

6 0
4 years ago
Use the matrix method to solve the system of equations 2x + 4y = 8 and 6x + 3y = -3. The resulting matrix is:
nikklg [1K]
So we are given the system:
2x+4y=8\\
6x+3y=-3
Written in matrix form we get:
\left[\begin{array}{cc}2&4\\6&3\end{array}\right] 
  \left[\begin{array}{c}x\\y\end{array}\right] =
\left[\begin{array}{c}8\\-3\end{array}\right]
We compute the solution like this:

  \left[\begin{array}{c}x\\y\end{array}\right] =
 \left[\begin{array}{cc}2&4\\6&3\end{array}\right] ^{-1}
\left[\begin{array}{c}8\\-3\end{array}\right]  \\=
\left[\begin{array}{cc}-3&4\\6&-2\end{array}\right]
\left[\begin{array}{c}8\\-3\end{array}\right] \dfrac{1}{18}\\=
\left[\begin{array}{c}2\\-3\end{array}\right]
The solution is :
\left[\begin{array}{c}2\\-3\end{array}\right]
8 0
3 years ago
Can someone please help me. Will mark brainlist!
Olenka [21]

Answer:

You just divide 6 by 3 which makes it 50% chance.

Step-by-step explanation:

Which means the answer is 3/6

7 0
3 years ago
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