11. Solve the Right Triangle.

11. Solve The Right Triangle.

Answers

Answer 1

The sides of the right triangle are as follows:

AC = 3.2 metres

AB = 12.4 metres

How to solve right triangle?

A right angle triangle is a triangle that has one of its angles as 90 degrees.  The sum of angles in a right triangle is 180 degrees.

Therefore, the sides of a right triangle can be found using trigonometric ratios.

Hence, let's find AC

tan 15 = opposite / adjacent

tan 15 = AC / 12

cross multiply

AC = 12 tan 15

AC = 12 × 0.26794919243

AC = 3.21539030917

AC = 3.2 metres

Let's find AB

cos 15 = adjacent / hypotenuse

cos 15 = 12 / AB

AB = 12 / cos 15

AB = 12 / 0.96592582628

AB = 12.423314503

AB = 12.4 units

learn more on right triangle here: https://brainly.com/question/29116843

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Related Questions

3/10 = N/10

Find the missing value to write an equivalent fraction.

Multiply the numerator and denominator by
.

The missing numerator is
.

Answers

Answer:

3 = N

Step-by-step explanation:

Multiply the numerator and denominator by 10:

10(3/10) = 10(N/10) becomes 3 = N

What is the explicit rule for the arithmetic sequence shown in the graph?

Answers

Answer:

a(n) = 9.5 + 2(n - 1)

Step-by-step explanation:

Observe that each new term is obtained by adding 2 to the previous term.  Thus, the common difference is 2 and the first term is 9.5.

Then a(n) = 9.5 + 2(n - 1)

What is the measure of the unstable Angle of the triangle below?
Options:
A- 90
B- 82
C- 98

Answers

The best answer to go with is b

For breakfast, Sarah can choose eggs, granola or oatmeal as a main course, and orange juice or milk for a drink. Sarah says that the sample space for choosing one of each contains 32 = 9 outcomes. What is her error? Explain. Because there are choices for the first item and for the second, there are possible outcomes.

Answers

Answer:

The explanation is given below

Step-by-step explanation:

Her error is that she multiplied the possibilities of her meal that involves eggs with milk, granola & oatmeal but the possibilities involves orange juice with egg and granola & oatmeal

Now

If she choose milk so she can select eggs, granola, and oatmeal so there are 3 possibilities also with the orange juice there is 3 possibilities

So, the sample space is

= 3 + 3

= 6 outcomes  

Please help with #6 and #15. Thank you!

Answers

Answer:

its s and d

Step-by-step explanation:

Whoever helps me will have a good day and maybe get kissed by your crush

Answers

Answer:

16

Step-by-step explanation:

i totally forgot how to write the equation so i did it the long way and i got with 16 shovels of dirt you get 100 pounds

16 sry i’m i’m wrong btw

Which shape has perpendicular diagonals,two pairs of adjacent sides that are congruent,and no parallel sides?

Answers

Answer:

quadrilateral has perpendicular diagonals

increase 320g in a ratio 5:2​

Answers

Answer:5/2/320=900

Step-by-step explanation:

please helpppppppppppppp

Answers

Answer:

x=90

Step-by-step explanation:

3x-160 = x+20. Why you may ask? they are corresponding angles which makes them congruent. 2x = 180, so x = 90

Answer:

90

Step-by-step explanation:

angle 1 and 4 are equivalent so:

3x - 160 = x + 20

_________________

3x - 160 = x + 20

   +160   I  +160

  3x = x + 180

  - x  I   - x

   2x = 108

   ÷2  I ÷2

      x = 90

What is the solution to the following system of equations? (-7x - 4y = 29,
3x - y = -7)*
A. (-5, -8)
B. (1,-9)
C. (0,7)
D. (-3,-2)

Answers

The answer is D: (-3, -2)

Please help with this

Answers

Answer:

Hey mate.....

Step-by-step explanation:

This is ur answer.....

Step 1 :-

18.12+ 93.3 111.42

Step 2 :-

111.42 - 16.7 94.72

Hope it helps!

Follow me! ;)


[tex](x + y) ^{2} [/tex]

Answers

Answer:

Step-by-step explanation:

(x + y) 2

x2 + 2xy + y2

Answer:

Step-by-step explanation:

This is an example of "the square of a binomial."  There is a formula for such cases;

(a + b)^2 = a^2 + 2ab + b^2 (worth memorizing)

Thus, our (x + y)^2 = x^2 + 2xy + y^2

NO LINKS
A teacher surveyed her class after they had taken a vocabulary test. Elghteen of the students claimed they had studied
at least one hour for the test. The remaining twelve students admitted that they had not studied for the test at all. The
test results (expressed as a percent) for the two groups are shown below.
Studied: 87, 100, 94, 79, 92, 100, 95, 83, 89, 99, 100, 91, 89, 95, 100, 93, 96, 83
Did Not Study. 82, 72, 45, 91, 58, 83, 65, 87, 90, 77, 73, 89
Part 1: Calculate the mean of the group that did not study, rounded to the nearest tenth.
Part 2: Calculate the mean absolute deviation of the group that did not study, rounded to the nearest tenth.
Part 3: How many of the scores (from the group that did not study) are more than two mean absolute deviations from the
mean?

Answers

Answer:

nuhmkjmkk

Step-by-step explanation:

yg huughbbbbh

Help, please! I need to get this done. :(

Answers

Answer:

saw this question on egde its b

The graphs of which of these pairs of linear equations intersect at the point (-3, 2)? Select all that apply.
A 6x - y = 15
-3x + 4y = -18
B. 2x + y = -4
3x + 2y = -5
C. X + 8y = 19
4x - 5y = 2
D. 8x + y = 22
-2x - 5y=4
E5x - y = -17
x + 4y = 5

Answers

Answer:

Options B and E.

Step-by-step explanation:

We want to see for which systems the point (-3, 2) is a solution (a solution of a system means that both equations intersect in that point).

The point (-3, 2) is a solution of the system only if this point belongs to both linear equations in the system.

Then for each system, we need to replace x by -3 and y by 2 in both equations and see if the equality is true or not.

A)

6x - y = 15

-3x + 4y = -18

In the first equation we have:

6*(-3) - (2) = 15

-18 - 2 = 15

-20 = 15

This is false, so we can discard option A.

B)

2x + y = -4

3x + 2y = -5

In the first equation we have:

2*(-3) + 2 = -4

-6 + 2 = -4

-4 = - 4  

This is true, now let's look at the other equation.

3*(-3) + 2*(2) = -5

-9 + 4 = -5

-5 = - 5

This is also true, then the point (-3, 2) is a solution for both equations, then the point (-3, 2) is a solution for the system.

C)

x + 8y = 19

4x - 5y = 2

In the first equation we have:

(-3) + 8*(2) = 19

-3 + 16 = 19

13 = 19

This is false, then we can discard option C.

D)

8x + y = 22

-2x - 5y=4

In the first option we have:

8*(-3) + 2 = 22

-24 + 2 = 22

-22 = 22

This is false, so we can discard option D.

E)

5x - y = -17

x + 4y = 5

In the first option we have:

5*(-3) - (2) = -17

-15 - 2 = -17

-17 = -17

This is true, now let's look at the other equation:

(-3) + 4*(2) = 5

-3 + 8 = 5

5 = 5

This is also true, then the point (-3, 2) is a solution for both equations in the system, which means that the point (-3, 2) is a solution for the system.

Then the correct options are B and E.

How many feet are in 32 yards?

384 feet

320 feet

96 feet

35 feet

Answers

Answer:

96 feet

Step-by-step explanation:

Answer:

32 yards is equal to 96 feet. Hope this helped!! :D

Explain in words where this graph is increasing.

Answers

Answer:

at the third quadrent the graph is increasing

at third quadrent

which pair of polygons is similar

Answers

Answer:

Step-by-step explanation:

c. trust me im right

Find the area of the shape

Answers

Answer:

1725

Step-by-step explanation:

40 is the number of the slope the height is 30.

HELP ME ASAP!!!!!!!!!

See pic attached.

WHOEVER GETS IT RIGHT, PLEASE FRIEND REQUEST ME AND I'LL ACCEPT ALSO PLUS YOU WILL GET BRAINLIEST, THANKS AND A STAR RATING OF EXCELLENT!

Good Luck!

Answers

Answer:

the cheapest cost would be to buy the large pack as there's a 25% discount resulting in tim only having to pay 38.25 rather than 60 for the small pack

Step-by-step explanation:

HELP
PLEASEEEEEEEEeeeee

Answers

Answer:

A

Step-by-step explanation:

1/2f

The table below shows the low temperature in a town each day for four days. Which of the following lists the temperatures in order
from least to greatest?

Answers

Answer: 1,-3,5,-8

Step-by-step explanation: I have the same questions

Can someone please help me on this ????

Answers

Answer:

x = 5

Step-by-step explanation:

Also in this case we can use the Pythagorean theorem in this way

x^2 + (5√3)^2 = 10^2

x^2 + 75 = 100

x^2 = 25

x = +/- 5

we take only the positive value because a lenght can’t be negative

x = 5

Find the value of x.

Answers

Answer:

e

Step-by-step explanation:

25 POINTS
On a piece of paper, use a protractor and a ruler to construct △ABC with AB=6 cm, m∠A=80°, and m∠B=50°.

What is AC?

Answers

Answer:

6

Step-by-step explanation:

If you try to draw the triangle, it forms an isosceles triangle.

side AB has a length of 6cm. Side AB = Side AC. So the length of Side AC is also 6 cm.

Answer:

6cm

Step-by-step explanation:

What is the value of x?

Answers

Answer:

Step-by-step explanation:

2x + 12 + x + 1 + x+ 4

2x + x + x = 4x

12 + 1 + 4 = 17

hello i need help fast​

Answers

Answer:

486

Step-by-step explanation:

Which pair of angles must be supplementary?
1 and 5
5 and 3
4 and 5
4 and 1

Answers

Answer:

can you post with pictures, because I can't help you without the image of the question

The Becks buy a plastic tarp to cover their firewood. A rectangle that is eight and one-third yards long and six and three-fourths yards wide. Part A Which equation models the best estimate for the area of the tarp?

Answers

Answer:

56 1/4 yards

Step-by-step explanation:

Area of the tarp = length × width

Length = 8 1/3 yards

Width = 6 3/4 yards

Area of the tarp = length × width

= 8 1/3 yards × 6 3/4 yards

= 25/3 × 27/4

= (25 * 27) / (3 * 4)

= 675 / 12

= 56 1/4 yards

Area of the tarp = 56 1/4 yards

Graph a line with a slope of -3 that contains the point (4, -2).

(Just tell me where to put the points please)​

Answers

Answer:

(4, -2),  (3, 7),  (5, 1),  (6, -2),  (7, -5)

Step-by-step explanation:

These are a few of the points, so you can just connect them!

Hope this helped! :)

Answer:

Step-by-step explanation:

If you have both the slope and a point on the line, use the point-slope formula y - k = m(x - h), which here is y + 2 = -3(x - 4).

Now you can choose a few x values at random and calculate the associated y values.  Let's try x = -1, x = 3, x = 0:

For x = -1:  y + 2 = -3(-1 - 4), or y = -2 -3(-5) = -2 + 15 = 13.  The point is (-1, 13).

For x = 3, we get y + 2 = -3(-1), or y = -2 + 3 = 1.  The point is (3, 1).

For x = 0, y = -2 - 3(-4), or y = -2 + 12 = 10.  The point is (0, 10).

Plot these three points and draw a line through them.

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