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Flura [38]
3 years ago
5

Triangle A B C is shown. Angle A C B is a right angle. The length of hypotenuse A B is 12 centimeters, the length of C B is 9.8

centimeters, and the length of A C is 6.9 centimeters.
Which expressions can be used to find m∠BAC? Select three options.

Mathematics
1 answer:
RSB [31]3 years ago
3 0

Answer: We can find angle BAC by using (1) SinA = 9.8/12

(2) CosA = 6.9/12

(3) TanA = 9.8/6.9

Step-by-step explanation: The question indicates that we have a right angled triangle ABC with the right angle at point C (that is, angle ACB is the right angle). Also the three sides have been labeled as AB equals 12 cm, CB equals 9.8 cm and AC equals 6.9 cm. Line AB has been identified as the hypotenuse and angle A (that is, BAC) is the reference angle. If angle A is the reference angle, then line CB facing angle A shall be the opposite side, while line AC is the adjacent (which lies between the reference angle and the right angle). Please see the attached diagram for details.

Having these details available, we can actually find angle A by using any of the three trigonometric ratios, since all three sides are given. Hence,

SinA = opposite/hypotenuse

SinA = 9.8/12

SinA = 0.8167

Checking with your calculator or table of values, A = 54.76 (approximately 55)

Also CosA = adjacent/hypotenuse

CosA = 6.9/12

CosA = 0.5750

Checking with your calculator or table of values A = 54.90 (approximately 55).

Finally TanA = opposite/adjacent

TanA = 9.8/6.9

TanA = 1.4203

Checking with your calculator or table of values A = 54.83 (approximately 55).

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The smaller triange was dilated to form the larger triangle. What is the value of x?
natka813 [3]

Answer:

x = 14

Step-by-step explanation:

As we can see that the bottom side is equivalent to 3 of the smallest triangle and the side of the larger triangle is equivalent to the 9

This represents that it is dilated by 3 factor

So

= 3 × 3

= 9

Now the other side i.e. 5 of the smallest triangle also need to be dilated by a 3 factor

So the new side is 15

Also the largest triangle is x + 1

So,

15 = x + 1

x = 14

4 0
3 years ago
What is the image of (-9,0) after a reflection over the line y=x
SpyIntel [72]

Answer:

(0,-9)

Step-by-step explanation:

The image of a point (x,y) over a line y=x is given by the co-ordinate rule:

(x,y) → (y,x)

So, when we reflect a point over the line y=x, the x co-ordinate and y co-ordinate change their places.

Here, (x,y) is (-9,0). So, from the above rule, after reflection over the line y=x, the image has the following co-ordinates:

(0,-9)

4 0
3 years ago
Please explain how you got your answer
zhuklara [117]
H is the answer
and the line of the symmetry is like the picture

8 0
3 years ago
Need help on the mean and the median 1-10 pleaaaase for brainlest answer and thanks !!!!!!!!!!
kati45 [8]
For number one the media is 22 and 5

8 0
3 years ago
4. = 38 -8(n-1), n=1, 2, 3...
stepladder [879]

Answer:

38-8\left(n-1\right),\:n=123:\quad -938

\mathrm{For}\:38-8\left(n-1\right)\:\mathrm{substitute}\:n\space\mathrm{\:with\:}\space123

38-8(123-1)= -938

-938

Step-by-step explanation:

5 0
2 years ago
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