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kozerog [31]
2 years ago
11

What is the slope of the line that includes points (36,-30) and (39,27)

Mathematics
1 answer:
DedPeter [7]2 years ago
7 0

Answer:

The slope of the line is 19

Step-by-step explanation:

slope=(y2-y1)/(x2-x1)=(27-(-30))/(39-36)=57/3=19

Therefore, the slope of the line is 19

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A student solved the following problem and made an error: Triangles ABC and DEF. Angles A and F are congruent and measure 135 de
nignag [31]

The first false statement in the proof as it stands is in Line 5, where it is claimed that a line of length 2.83 is congruent to a line of length 4.47. This mistake cannot be corrected by adding lines to the proof.

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The first erroneous tactical move is in Line 4, where the length of DE is computed, rather than the length of FD. This mistake can be corrected by adding lines to the proof.

A correct SAS proof would use segment FD in Line 4, so it could be argued that the first mistake is there.

7 0
3 years ago
Which of the following trigonometric ratios are correct?
den301095 [7]

Hi there! In this problem, you should have the knowledge of three basic Trigonometric Ratio.

  • sinA = opposite/hypotenuse
  • cosA = adjacent/hypotenuse
  • tanA = opposite/adjacent

Now that we know three basic ratio. Let's check each choices!

  • sin50° = d/c

This choice is wrong because we focus on the 50° angle. When we focus on 50°, sin50° should be d/x and not d/c.

  • sin50° = c/x

This choice is also wrong because in ratio, it's cos50° that adjacent/hypotenuse.

  • tan50° = d/c

This choice is correct! As ratio states, tanA = opposite/adjacent.

  • tan50° = x/c

This choice is wrong. x/c is a reciprocal of cosine which is 1/cos. We call the reciprocal of cosine as secant or sec in short.

  • cos50° = x/d

This choice is wrong as x/d is a reciprocal of sine which is 1/sin. We call the reciprocal of sine as cosecant or cosec/csc in short.

  • cos50° = c/x

This choice is right by the ratio. Nothing really much to explain since we follow by ratio that is defined.

Answer

  • tan50° = d/c
  • cos50° = c/x

Questions can be asked through comment.

Furthermore, tan also has its reciprocal form itself which is called cotangent also known as cot in short.

Hope this helps, and Happy Learning! :)

8 0
3 years ago
A guy wire 30 ft long supports an antenna at a point that is 24 ft above the base of the antenna.
GalinKa [24]
Use Pythagorean Theorem
c2 = a2 + b2
152 = a2 + 12
a2 = 152 - 122
=225 - 144 = 81
a = 9 ft
Distance from base of antenna = 9ft
4 0
2 years ago
How to write 60 as a product of prime factors
SVEN [57.7K]
60
30 *2 
15 * 2 * 2
5 * 3 * 2 * 2
6 0
2 years ago
21. Mickey earned $475 from mowing lawns last summer. He deposited this money in an
Dennis_Churaev [7]

Answer:

first, u need to know the formula for compound interest, which is:

A = P(1 + \frac{r}{100})^{n}

where A is the final amount

P- initial amount

r- percent compounded(interest)

and

n- number of years

so

we have

A = 475(1 + \frac{3.8}{100})^{4}

3.8/100 = 0.038

1+0.038 =1.038

1.038^4 = 1.160885573136

475 * 1.160885573136 = 551.4206472396‬

approximately $551.42

5 0
3 years ago
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