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kaheart [24]
3 years ago
7

PLEASE HELPPPPP. URGEENNTT!!! I DONT KNOW HOW TO SOLVE THIS

Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
6 0

Answer:

A = 58.7 degrees

B = 66.9 degrees

C = 34.1 degrees

Step-by-step explanation:

<u><em>For <A:</em></u>

Tan A = \frac{opposite}{adjacent}

Tan A = \frac{23}{14}

Tan A = 1.6

A = Tan^{-1} 1.6

A = 58.7 degrees

<u>For <B:</u>

Sin B = \frac{opposite}{hypotenuse}

Sin B = \frac{23}{25}

Sin B = 0.92

B = Sin^{-1} 0.92

B = 66.9 degrees

<em><u>For <C:</u></em>

Sin C = \frac{opposite}{hypotenuse}

Sin C = \frac{14}{25}

Sin C = 0.56

C = Sin^{-1}0.56

C = 34.1 degrees

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Y = 2/3 x -3 y = -3/2 x +2 what statement about the lines are true
Hoochie [10]

Answer:

The product of the slopes of lines is -1.

i.e. m₁ × m₂ = -1

Thus, the lines are perpendicular.

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given the lines

y = 2/3 x -3       --- Line 1

y = -3/2x +2      --- Line 2

<u>The slope of line 1</u>

y = 2/3 x -3       --- Line 1

By comparing with the slope-intercept form of the line equation

The slope of line 1 is: m₁ = 2/3

<u>The slope of line 2</u>

y = -3/2x +2      --- Line 2

By comparing with the slope-intercept y = mx+b form of the line equation

The slope of line 2 is: m₂ = -3/2

We know that when two lines are perpendicular, the product of their slopes is -1.

Let us check the product of two slopes m₁ and m₂

m₁ × m₂ = (2/3)(-3/2 )

m₁ × m₂ = -1

Thus, the product of the slopes of lines is -1.

i.e. m₁ × m₂ = -1

Thus, the lines are perpendicular.

7 0
2 years ago
Two number cubes are rolled. What is the probability that the sum of the numbers rolled is either 4 or 8?
sveticcg [70]

There are 6 numbers on each die.

The total number of out comes is 6 x 6 = 36.


To get a sum of 4, the combinations are: 1 & 3, 2 & 2 or 3 & 1.

To get a sum of 8, the combinations are: 1 & 7, 2 & 6, 3 & 5, 4 & 4, 7 & 1, 6 & 2, 5 & 3


The total of those combinations are:  3  + 7 = 10 total combinations of a sum of either 4 or 8.


The probability of either is 10/36, which can be reduced to 5/18.

8 0
3 years ago
The midpoint of chord AB is ( , ), and the slope of chord AB is
kykrilka [37]

Answer:

See solution below

Step-by-step explanation:

Let the coordinate's of A and B be (1, 0) and (2,4) respectively

midpoint M (X, Y) = [(x1+x2/2, y1+y2/2)]

X = x1+x2/2

X = 1+2/2

X = 3/2

X = 1.5

Y = y1+y2/2

Y = 0+4/2

Y = 4/2

Y = 2

Hence the required midpoint (X, Y) is (1.5, 2)

Slope m = y2-y1/x2-x1

m = 4-0/2-1

m = 4/1

m = 4

Hence the slope is 4

<em>Note that the coordinates are assumed but the same calculation can be employed for any other coordinates</em>

7 0
2 years ago
kylie has 80% of the total points possible in her science class. if 350 points are possible, how many points does kylie have?​
enyata [817]

Answer:

280

Step-by-step explanation:

<u>Change percentage into decimal:</u>

80% = 0.80

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350 x 0.80 = 280

6 0
3 years ago
Read 2 more answers
Two circles, one of radius 5 inches, the other of radius 2 inches, are tangent at point P. Two bugs start crawling at the same t
lawyer [7]

Answer:

  40 minutes

Step-by-step explanation:

The circumference of the larger circle is ...

  C = 2πr = 2π(5 in) = 10π in

The bug navigates the circumference at 3π in/min, so will take

  time = distance/speed = (10π in)/(3π in/min) = 10/3 min

to travel once around.

__

The circumference of the smaller circle is ...

  C = 2πr = 2π(2 in) = 4π in

The bug navigates this circumference at 2.5π in/min, so will take

  (4π in)/(2.5π in/min) = 8/5 min

to travel once around.

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The bugs will meet at a time that is the least common multiple of these times. Both can be expressed in 15ths of a minute as ...

  {50/15, 24/15}

Then the LCM of these will be ...

  (1/15)LCM(50, 24) = (1/15)(50×24)/GCD(50, 24) = 1200/30 = 40

It will be 40 minutes before the bugs next meet at point P.

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A graphing calculator can make use of the mod function to show when the bugs meet at point P (total is displacement of the two bugs from P is zero). It shows the meeting occurs after 40 minutes.

5 0
3 years ago
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