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o-na [289]
1 year ago
10

Please help, thanks!!!

Mathematics
1 answer:
irga5000 [103]1 year ago
6 0

Problem 4

Draw any right triangle you want. Afterward, draw a perpendicular segment that goes from the 90 degree angle to the hypotenuse. Call this new segment the altitude. It might help to have the hypotenuse laying flat or horizontal.

The length of this altitude can be found using the geometric mean formula. Search out "geometric mean for triangles" (or similar) and you should get a diagram that visually summarizes what is going on. I've provided a screenshot of an example using GeoGebra. See below.

==========================================================

Problem 5

The two special types of right triangles are: the 45-45-90 triangle and the 30-60-90 triangle.

If x is the leg length of the first triangle type mentioned, then x\sqrt{2} is the hypotenuse. We can confirm this using the pythagorean theorem. Recall that the legs of any 45-45-90 triangle are the same, meaning we have an isosceles triangle.

For the second type of triangle, the short leg x leads to the hypotenuse 2x and long leg x\sqrt{3}

==========================================================

Problem 6

If you know say the opposite and adjacent sides of a right triangle, then you can use the tangent ratio because tan = opposite/adjacent.

Sine is used for opposite/hypotenuse, while cosine is used for adjacent/hypotenuse. Those are the main 3 trig functions. Technically there are 3 more, but they are just reciprocals of the previous three.

==========================================================

Problem 7

Use inverse trig functions to find the missing angles if you know the sides. The inverse trig functions have an exponent of -1.

For instance, let's say the triangle has an opposite side of 10 and hypotenuse of 15

The reference angle would be...

\sin(\text{angle}) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin(x) = \frac{10}{15}\\\\x = \sin^{-1}\left(\frac{10}{15}\right)\\\\x \approx 41.81^{\circ}\\\\

==========================================================

Problem 8

Imagine looking completely horizontal at the horizon. The angle in which you are currently looking is 0 degrees. If you look upward, say 10 degrees, then the angle of elevation is 10 degrees. Looking down means we have an angle of depression. These two types of angles help us determine various distances and lengths.

Use the alternate interior angle theorem to help show that angles of depression are congruent to angles of elevation. It will depend on context which type of angle is more useful.

You might be interested in
The area of a regular octagon is 25 cm2. What is the area of a regular octagon with sides four times as large?
Scorpion4ik [409]
Regular polygon area = n*side^2 / (4 * tan (180/n))
where "n" is number of sides
The formula is dependent on the side^2 term,
So, if we have an octagon that has sides 4 times as large, that means the area will be sixteen times larger.
side^2 = 4^2 = 16
So we multiply 25 cm^2 by 16 and we get
400 square centimeters.

Source:
http://www.1728.org/polygon.htm


5 0
3 years ago
Someone help me please. :(
blsea [12.9K]
6x 24 /5 = 68 feet is the sender
7 0
3 years ago
Please help me with this! Picture is provided and only answer is you know it!
Sophie [7]

Answer:

Option A

Step-by-step explanation:

Number of components assembled by the new employee per day,

N(t) = \frac{50t}{t+4}

Number of components assembled by the experienced employee per day,

E(t) = \frac{70t}{t+3}

Difference in number of components assembled per day by experienced ane new employee

D(t)= E(t) - N(t)

D(t) = \frac{70t}{t+3}-\frac{50t}{t+4}

      = \frac{70t(t+4)-50t(t+3)}{(t+3)(t+4)}

      = \frac{70t^2+280t-50t^2-150t}{(t+3)(t+4)}

      = \frac{20t^2+130t}{(t+3)(t+4)}

      = \frac{10t(2t+13)}{(t+4)(t+3)}

Therefore, Option A will be the answer.

3 0
3 years ago
PLEASE HELP! THANKS!
Alina [70]
If you add everything up then
14x-2=180
14x=182
x= 13
 
So the angles would equal
2(13)+1= 27
3(13)-3= 36
9(13)= 117
The angles are 27 36 and 117
Which makes the smallest angle 27 which is B.
8 0
3 years ago
Read 2 more answers
Which face has an area of 28 cm
Neko [114]

Answer:

trapezium?

Step-by-step explanation:

6 0
3 years ago
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