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dexar [7]
3 years ago
6

HELPP!!!! 30 POINTS!!! Points A and B are on the different sides on line l, the distance between point A and the line l is 10 in

, the distance between point B and line l is 4in. What is the distance between the midpoint O of the segment AB and the line l?

Mathematics
1 answer:
Rom4ik [11]3 years ago
5 0

OC = 3 in

Refer to the attachment for complete explaination

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Can someone help me for this question please? Why I got wrong answer. ASAP!!!
Snowcat [4.5K]

Answer:

a=8.06

A=29.74

B=60.26

Step-by-step explanation:

This is a right angled triangle and Pythagoras theorem is to be obeyed.

To get c, we follow the Pythagoras rule that says

Hyp² = Opp² + Adj²

c= Hypotenuse

c²= a² + b²

c² = 4² + 7²

c² = 65

c = √65 = 8.06

For angle A,

the opposing side to the angle = a = 4

The adjacent side to the angle = b = 7

Following trigonometry rule.

Tan A = opp/adj

Tan A = 4/7

A = Tan–¹(4/7)

A = 29.74°

For angle B,

Opposing side = 7

Adjacent side = 4

Tan B = 7/4

B = Tan-¹(7/4)

B = 60.26°

5 0
3 years ago
Arlene is showing her work in simplifying −7.9 + 8.2 − 3.4 + 2.1. Identify any errors in her work or in her reasoning. Write fee
kodGreya [7K]
The answer is correct but i do not know what ARLENE did wrong
7 0
2 years ago
Read 2 more answers
-5x-4y=-7 on a graph
Flauer [41]

Answer:

Graph is attached below.

Step-by-step explanation:

If you want to solve for the variable x,

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3 0
2 years ago
A 6000​-seat theater has tickets for sale at ​$25 and ​$40. How many tickets should be sold at each price for a sellout performa
Lena [83]

Step-by-step explanation:

Let x be the amount of tickets sold for $25 and y be the amount of tickets sold for $40, since there are 6000 seats theatre then;

x+y = 6000 .............. 1

If x tickets cost $25 and y tickets are sold for $40 with total revenue of ​$174,000, then;

25x + 40y = ​174,000................ 2

From 1, x = 6000-y ............ 3

Substitute equation 3 into 2:

25x + 40y = ​174,000.

25(6000-y) + 40y = ​174,000

150,000-25y + 40y = 174,000

150,000+15y = 174,000

15y = 174,000-150,000

15y = 24,000

y = 24,000/15

y = 1600

Substitute y = 1600 into equation 3:

x = 6000-y

x = 6000-1600

x = 4400

<em>Hence 4400 $25 tickets and 1600 $40 tickets must be sold to generate a revenue of $174,000</em>

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3 years ago
Order the lengths 1/4 inch, 0.5 inch, and 10/25 inch from least to greatest.
pshichka [43]
Converting everything to decimals:

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Ordering:

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Converting the appropriate numbers back to fractions:

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3 years ago
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