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Kisachek [45]
3 years ago
5

Find the measure of the angle indicated.

Mathematics
1 answer:
LUCKY_DIMON [66]3 years ago
8 0

Answer:

7

Step-by-step explanation:

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Write a rule for the nth term of sequences 5,2,-1,-4
bixtya [17]

Answer:3n+2

Step-by-step explanation:

4 0
3 years ago
In 1995, the standard bus fare in Chicago was $1.50. In 2008, the standard bus fare was $2.25. Give your answer as a percentage
Trava [24]

Answer:

The bus fair is 50% increases.

Step-by-step explanation:

The percentage is the proportion of the relation to the whole.

Percentage increase is calculate as ratio of difference of original and new value to the original value. i.e.

\frac{ Percentage\ increase\ \ =\ \ new\ value - original \ value}{original\ \ value}

∴ \frac{ Percentage\ increase\ \ =\ \ 2.25 - 1.50 }{1.50}

⇒ Percentage increase = 50%

3 0
4 years ago
The area of a rectangle is 108 m2 and its diagonal is 15 m. Find
Andre45 [30]

Answer:

47.6m.

Step by step solution:

Perimeter of a triangle = base + 2 . length____(1)

Area of a triangle = 1/2 . base . diagonal

108 = 1/2 . base . 15

multiplying both sides by 2:

216 = 15 . base

dividing both sides by 15:

base = 14.4m

But the diagonal divides the triangle into two

right angle triangles each with the same length (hypotenuse),base and diagonal(height).

Taking one right angle triangle:

And using pythagoras theorem;

length² = base² + diagonal ²

length² = 7.2² + 15²

Note: Base of each right angle triangle is 7.2 which would sum up to be 14.4 the base of the full triangle.

length² = 276.84

taking the square root of both sides:

length = 16.6m

Putting the values of the base and length into equation (1).

Perimeter of the triangle = 14.4 + 2 . 16.6

Note: We are dealing with the whole triangle

now hence the base is 14.4m.

Perimeter of the triangle = 14.4 + 33.2 = 47.6m.

6 0
3 years ago
Read 2 more answers
19. Find the value of:<br>4/3tan^2 30° + Sin^2 60° – 3Cos^2 30°+ 3tan^2. 60° - 2tan^2 45°​
Julli [10]

9514 1404 393

Answer:

  107/18

Step-by-step explanation:

Your calculator and/or knowledge of trig function values can help you evaluate this.

  = 4/3(1/3) +3/4 -3(3/4) +3(3) -2(1)

  = 4/9 +3/4 -9/4 +9 -2

  = 107/18

___

tan(30°) = 1/√3

tan(45°) = 1

tan(60°) = √3

sin(60°) = cos(30°) = √3/2

7 0
4 years ago
In a cirde, what does the ratio A/^2 represent?
inna [77]

Answer:

D.pi

Step-by-step explanation:

Because it’s pi

4 0
3 years ago
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