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N76 [4]
2 years ago
9

X

Mathematics
1 answer:
AURORKA [14]2 years ago
8 0

Answer:

\theta \approx 1.23^\circ

Step-by-step explanation:

The expression has been given as:

tan(\theta) = \frac{50}{18}

Required: Find \theta

Simplify the fraction

tan(\theta) = 2.7778

Take arc tan of both sides

\theta = tan^{-1}(2.7778)

\theta \approx 1.23^\circ

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The center on a target has a diameter of 5 inches. The whole target has a diameter of 25 inches. The center of the target takes
Komok [63]
4%

To find the percentage, first find the area of both circles. The area formula is \pi  r^{2} . After finding the area of the center of the target (19.625) and the area of the large target (490.625), set up a percent proportion to determine the percentage that the center takes up: 

\frac{is}{of} =  \frac{percent}{100}


\frac{19.625}{490.625} =  \frac{percent}{100}


Cross multiplying and dividing by 490.625 will give a total of 4%.



4 0
3 years ago
Two payment options to rent a car: You can pay $20 a day plus 25¢ a mile (Option A) or pay $10 a day plus 50¢ a mile (Option B).
BaLLatris [955]

You must drive more than 40 miles to make option A the cheaper plan

<em><u>Solution:</u></em>

Two payment options to rent a car

Let "x" be the number of miles driven in one day

<em><u>You can pay $20 a day plus 25¢ a mile (Option A)</u></em>

25 cents is equal to 0.25 dollars

OPTION A :  20 + 0.25x

<em><u>You pay $10 a day plus 50¢ a mile (Option B)</u></em>

50 cents equal to 0.50 dollars

Option B: 10 + 0.50x

<em><u>For what amount of daily miles will option A be the cheaper plan ?</u></em>

For option A to be cheaper, Option A must be less than option B

Option A < Option B

20 + 0.25x < 10 + 0.50x

Solve the inequality

Add -0.50x on both sides

20 +0.25x -0.50x < 10 + 0.50x - 0.50x\\\\20 - 0.25x < 10

Add - 20 on both sides,

20 - 0.25x - 20 < 10 - 20\\\\-0.25x < -10

\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}

0.25x > 10

Divide both sides by 0.25

x > 40

Thus you must drive more than 40 miles to make option A the cheaper plan

7 0
3 years ago
3.x2 + 4x + 5 for x = -2<br>please help asap​
Law Incorporation [45]
Your equation is a little messed up comment me the equation you need help with
8 0
3 years ago
COMPLETING THE SQUARE<br> X^2– 2x +
Studentka2010 [4]

Answer:

x^2 -2x + 1

Step-by-step explanation:

Think of a quadratic equation as

ax^2 + bx + c

x^2 -2x +

Comparing the two equations

a = 1 ,  b = -2,  c = ?

c becomes the missing part

Divide b by 2

-2/2 = -1

square the result

-1^2

= 1  this is what to add to get a perfect square

x^2 -2x + 1

(x - 1)^2

6 0
3 years ago
Please help me with questions 13-22!! I know I already answered 14 but if it is wrong please tell me!!! I don't have much time!!
neonofarm [45]

Answer:

13. no solution

15. 3

16. 2

17. 5

18. -8

19. -7

20. 6

21. -5

22. -7

3 0
3 years ago
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