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AfilCa [17]
3 years ago
15

Work out the size of the angle marked X. Give your answer correct to 1 decimal place.

Mathematics
1 answer:
Maurinko [17]3 years ago
5 0

Answer:

41.8°

Step-by-step explanation:

We solve using the Trigonometric function of Sine

Hypotenuse = 15cm

x = θ

Opposite = 10cm

sin θ = Opposite/Hypotenuse

sin θ = 10/15

θ = arc sin ( 10/15)

θ = 41.810314896°

θ = Approximately to 1 decimal place = 41.8°

Therefore, x = θ = 41.8°

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Use a calculator to evaluate sec 85 degrees
faltersainse [42]

OK.  I used my calculator to evaluate sec(85 degrees).

My calculator doesn't have a "sec" button on it. 
But I remembered that

           sec of an angle = 1 / (cosine of the same angle) .

So I used my calculator to find cos(85), and then I hit the
" 1/x " key, and got 11.474, which I knew to be sec(85).

3 0
3 years ago
2 2/3 of what number is 6 1/7
borishaifa [10]

2\frac{2}{3} of 2\frac{17}{56} is 6\frac{1}{7}

Solution:

Given 2\frac{2}{3} of what number is 6\frac{1}{7}.

Let us first convert the mixed fraction into improper fraction.

$2\frac{2}{3}=\frac{(2\times3)+2}{3}=\frac{8}{3}

$6\frac{1}{7}=\frac{(6\times7)+1}{3}=\frac{43}{3}

Now, let us take the unknown number be x.

$2\frac{2}{3}\times x=6\frac{1}{7}

$\frac{8}{3}\times x=\frac{43}{7}

Do the cross multiplication.

$ x=\frac{43}{7}\times\frac{3}{8}

$ x=\frac{43\times3}{7\times8}

$ x=\frac{129}{56}

Now, again change the improper fraction into mixed fraction.

$ x=2\frac{17}{56}

Hence 2\frac{2}{3} of 2\frac{17}{56} is 6\frac{1}{7}.

6 0
3 years ago
Graph ∆KLM with vertices K(2,2), L(0,- 1), and M(-3,2). Graph ∆K'L'M' with a scale factor of 2. What are the coordinates of the
olasank [31]

Answer:

The coordinates of the new vertices are:

K'(4,4), L'(0,- 2), and M'(-6,4).

Step-by-step explanation:

In order to dilate a shape by 2, you can simply multiply the coordinates of the orignal triangle each by 2 to find the new coordinates of the new vertices.

K(2,2), L(0,- 1), and M(-3,2)

K'(2*2,2*2), L'(0*2,- 1*2), and M'(-3*2,2*2).

Now become...

K'(4,4), L'(0,- 2), and M'(-6,4).

You can now graph ∆K'L'M' using these coordinates.

5 0
2 years ago
Fh
scZoUnD [109]

Answer:

ok so just get the v12{{9-))0} and =14

Step-by-step explanation:

4 0
2 years ago
Click and drag like terms onto each other to simplify fully.<br> 2-5+7y-5x+7x-2y
nikdorinn [45]

Answer: 5y + 2x - 3

(In simplest form)

6 0
3 years ago
Read 2 more answers
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