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agasfer [191]
2 years ago
11

Find the values of w, x and y.

Mathematics
1 answer:
elixir [45]2 years ago
5 0

Answer:

w= 27.47 degree

x=9.99 cm

y=12.02 cm

Step-by-step explanation:

The value of w:

In a right-angled triangle \tan \theta = \frac {\text{Perpendicular}}{\text{Base}}

\tan w = \frac {\text{Perpendicular}}{25+9}\;and \; \tan 63 = \frac {\text{Perpendicular}}{9}

So, 34 \tan w = 9\tan (63)

\tan w = (9/34)\tan(63)=0.52 \\\\w=\tan^{-1}(0.52) \\\\

w= 27.47 degree

The value of x:

In a right-angled triangle \sin \theta = \frac {\text{Perpendicular}}{\text{Hypotaneous}}

sin (27) =x/22

x= 22sin(27)

x=9.99 cm

The value of y:

By using Pythagoras theorem,

y^2+y^2=17^2 \\\\2y^2 = 289 \\\\y^2 =289/2= 144.5 \\\\y=\sqrt {144.5} \\\\

y=12.02 cm

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58. 122. 61. None of the choices are correct
In-s [12.5K]

Answer:

C. 61

Step-by-step explanation:

Two sides are equal, so the triangle is an isosceles triangle.

Both base angles are equal.

Angles in a triangle add up to 180 degrees.

58 + x + x = 180

58 + 2x = 180

2x  = 122

x = 61

8 0
3 years ago
Which of the following is a binomial?. c2 + c + 6. c2 - 16. -8c. c3 + 4c2 - 12c + 7. Which of the following is a monomial?. c2 +
vlabodo [156]
A monomial has one term, binomial has two terms, trinomial has three terms, and a polynomial has four or more terms.

Therefore, in the first question, c2-16 is the binomial while -8c is the monomial in the second question.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

7 0
3 years ago
If ∠A and ∠B are supplementary and m∠A = 37°45', then m∠B = ______.
xenn [34]

Answer: 142°15'

Explanation:

Supplementary angles are angles that add up to make a straight angle (180^{\circ}).

Therefore, we must find the angle ∠B such that

∠A + ∠B = 180° (1)

We know that ∠A = 37°45', so we can re-arrange equation (1) to find the magnitude of ∠B:

∠B = 180° - ∠A = 180° - 37°45' = 142°15'

So, the correct answer is

142°15'

6 0
3 years ago
Read 2 more answers
H E L P!!! Simplify the expression -4d+3-8+6+d-1
ser-zykov [4K]

-4d+3-8+6+d-1 =

-3d + 0 =

-3d

6 0
3 years ago
Please help!posted picture of question
olchik [2.2K]
Answer:
\frac{x^2 - 5}{4x + 1}, x ≠ -1/4

Explanation:
We are given that:
f (x) = 4x + 1
g(x) = x² - 5

We want to find the value of (g/f)(x). This means that we will simply divide g(x) by f(x) as follows:
( \frac{g}{f} )(x) =  \frac{g(x)}{f(x)} =  \frac{x^2 - 5}{4x + 1}

Now, we should note that any function is undefined if its denominator is equal to zero.
This means that for our current function:
4x + 1 cannot be equal to zero
4x + 1 = 0
4x = -1
x = -1/4
This means that the value of x cannot be -1/4, otherwise, our function would be undefined.

Based on the above, the last option is the correct one.

Hope this helps :)
8 0
2 years ago
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