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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.

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Answer:

p + (45/100) p                                   or       1.45 p

Step-by-step explanation:

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You can solve this with a proportion. If you know that 23 tagged alligators were in a 200 alligator sample, there are 90 tagged alligators in the entire river. Written otherwise:

23/200 = 90/x    

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x = 782.608...

So the "best estimate" would be around 783 alligators. Hope that helps! If you liked this answer please rate it as brainliest!! thank you!!!
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3 years ago
Do you compare a negative decimal to a positive decimal?
Anika [276]

Answer:

Positive: Decimals are a part of a whole just like fractions are a part of a whole. Therefore, a positive decimal is always greater than a negative decimal.

Negative: When you have two negative decimals, the one closer to zero is always greater. The farther a negative decimal is from zero, the smaller its value.

All of it put together (same text as above):

Decimals are a part of a whole just like fractions are a part of a whole. Therefore, a positive decimal is ALWAYS greater than a negative decimal. When you have two negative decimals, the one closer to zero is always greater. The farther a negative decimal is from zero, the smaller its value.

5 0
3 years ago
What is the quotient?
AlexFokin [52]

Answer:

3/2

Step-by-step explanation:

● (-3/8) ÷(-1/4)

Flip the second fraction by putting 1 instead 4 and vice versa.

● (-3/8)* (-4/1)

-4 over 1 is -4 since dividing by 1 gives the same number.

● (-3/8)*(-4)

Eliminate the - signs in both fractions since multiplying two negative numbers by each other gives a positive number.

●( 3/8)*4

● (3*4/8)

8 is 2 times 4

● (3*4)/(4*2)

Simplify by eliminating 4 in the fraction.

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7 0
3 years ago
A pendant is formed using a cylinder and cone. Once assembled, as shown below, the pendant is painted. How many square millimete
solmaris [256]
Surface area of cylinder is given by area of circle + area of the rectangle that curved around the cylinder

Area of the base of the cylinder = \pi r^{2} = 8^{2} \pi =64 \pi
Area of the cylinder 'wall' = width × length = 12×2r \pi=12×16 \pi=192 \pi

Note that the wall of the cylinder is in the shape of a rectangle. The width of the rectangle is the height of the cylinder. The length of the rectangle is the circumference of the circle base.

Surface area of cone is given by \pirl where l is the slanted height of the cone

SA of cone = \pi (8)(10)=80 \pi

Hence total painted surface area is 80 \pi +192 \pi +64 \pi =336 \pi


3 0
3 years ago
Read 2 more answers
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