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PIT_PIT [208]
2 years ago
11

Please man please help me

Mathematics
1 answer:
spayn [35]2 years ago
7 0

Answer:

34.65 dollars

Step-by-step explanation:

multiply the 75 by .45 to get the new price

You might be interested in
How to find the length of a triangle with only one side non right triangle?
castortr0y [4]
The trigonometry of non-right triangles

So far, we've only dealt with right triangles, but trigonometry can be easily applied to non-right triangles because any non-right triangle can be divided by an altitude* into two right triangles.

Roll over the triangle to see what that means →



Remember that an altitude is a line segment that has one endpoint at a vertex of a triangle intersects the opposite side at a right angle. See triangles.

Customary labeling of non-right triangles

This labeling scheme is comßmonly used for non-right triangles. Capital letters are anglesand the corresponding lower-case letters go with the side opposite the angle: side a (with length of a units) is across from angle A (with a measure of A degrees or radians), and so on.



Derivation of the law of sines

Consider the triangle below. if we find the sines of angle A and angle C using their corresponding right triangles, we notice that they both contain the altitude, x.



The sine equations are



We can rearrange those by solving each for x(multiply by c on both sides of the left equation, and by a on both sides of the right):



Now the transitive property says that if both c·sin(A) and a·sin(C) are equal to x, then they must be equal to each other:



We usually divide both sides by ac to get the easy-to-remember expression of the law of sines:



We could do the same derivation with the other two altitudes, drawn from angles A and C to come up with similar relations for the other angle pairs. We call these together the law of sines. It's in the green box below.

The law of sines can be used to find the measure of an angle or a side of a non-right triangle if we know:

two sides and an angle not between them ortwo angles and a side not between them.

Law of Sines



Examples: Law of sines

Use the law of sines to find the missing measurements of the triangles in these examples. In the first, two angles and a side are known. In the second two sides and an angle. Notice that we need to know at least one angle-opposite side pair for the Law of Sines to work.

Example 1

Find all of the missing measurements of this triangle:




The missing angle is easy, it's just



Now set up one of the law of sines proportions and solve for the missing piece, in this case the length of the lower side:



Then do the same for the other missing side. It's best to use the original known angle and side so that round-off errors or mistakes don't add up.



Example 2

Find all of the missing measurements of this triangle:




First, set up one law of sines proportion. This time we'll be solving for a missing angle, so we'll have to calculate an inverse sine:



Now it's easy to calculate the third angle:



Then apply the law of sines again for the missing side. We have two choices, we can solve



Either gives the same answer,



Derivation of the law of cosines

Consider another non-right triangle, labeled as shown with side lengths x and y. We can derive a useful law containing only the cosine function.



First use the Pythagorean theorem to derive two equations for each of the right triangles:



Notice that each contains and x2, so we can eliminate x2 between the two using the transitive property:



Then expand the binomial (b - y)2 to get the equation below, and note that the y2 cancel:



Now we still have a y hanging around, but we can get rid of it using the cosine solution, notice that



Substituting c·cos(A) for y, we get



which is the law of cosines

The law of cosines can be used to find the measure of an angle or a side of a non-right triangle if we know:

two sides and the angle between them orthree sides and no angles.

We could again do the same derivation using the other two altitudes of our triangle, to yield three versions of the law of cosines for any triangle. They are listed in the box below.

Law of Cosines

The Law of Cosines is just the Pythagorean relationship with a correction factor, e.g. -2bc·cos(A), to account for the fact that the triangle is not a right triangle. We can write three versions of the LOC, one for every angle/opposite side pair:



Examples: Law of cosines

Use the law of cosines to find the missing measurements of the triangles in these two examples. In the first, the measures of two sides and the included angle (the angle between them) are known. In the second, three sides are known.


3 0
3 years ago
Juana is 4 feet 8 inches tall. She won 1st place in a cross country race. To receive her medal she stood on a platform that was
ioda

Answer:

The distance from the top of her head to the floor is 6 feet 2 inches.

Step-by-step explanation:

In his case Juana's height is given to us with two kinds of units, feet and inches, in order to make our solution easyer we will transform her height to only inches. In 1 feet we have 12 inches, so we need to take the part of her height that is given in feet and multiply it by 12. We have:

height = 4*12 + 8 = 56 inches

Since she is in a platform that is 18 inches tall the distance from the top of her head to the floor is her height plus the height of the platform. We have:

distance = height + platform = 56 + 18 = 74 inches

We can now transform back to a mixed unit, we do that by dividing the distance by 12 that will be the "feet" part and the res of the division will be the "inches" part. We have:

distance = 74/12 = 6 feet 2 inches

The distance from the top of her head to the floor is 6 feet 2 inches.

6 0
3 years ago
Help ASAP
CaHeK987 [17]
About 3.7 inches. Look at the 12 on the x axis because that is one year and see where it hits the line
6 0
2 years ago
Need help..thanks......
Vinvika [58]

Answer: D) Flat area with a large number of plants

The roots of the plants hold in the soil, which prevents/reduces erosion.

The steeper slope means gravity pulls down the soil material faster, since there is less ground in the way to hold it up, so to speak. So flatter areas are less prone to erosion compared to steeper areas.

So that's why overall, flatter areas with lots of plants would have the least erosion.

7 0
3 years ago
I need help with #7 ?!!! <br> Btw #6 is correct
Musya8 [376]

Choice C for problem 6 is correct. The two angles (65 and 25) add to 90 degrees, proving they are complementary angles.

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

The answer to problem 7 is also choice C and here's why

To find the midpoint, we add up the x coordinates and divide by 2. The two points A(-5,3) and B(3,3) have x coordinates of -5 and 3 respectively. They add to -5+3 = -2 which cuts in half to get -1. This means C has to be the answer as it's the only choice with x = -1 as an x coordinate.

Let's keep going to find the y coordinate of the midpoint. The points A(-5,3) and B(3,3) have y coordinates of y = 3 and y = 3, they add to 3+3 = 6 which cuts in half to get 3. The midpoint has the same y coordinate as the other two points

So that is why the midpoint is (-1,3)

7 0
3 years ago
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