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Svet_ta [14]
3 years ago
7

As the angle θ increases to 90° the value of tan(θ)

Mathematics
1 answer:
Nutka1998 [239]3 years ago
5 0

Answer:

C. increases rapidly.

Step-by-step explanation:

tan(θ) =  sin(θ)/cos(θ)

Now, when sin 90 = 1

and cos 90 = 0

so, tan(90) = 1/0 = not defined.

<em>(1/0 is infinity and its value is not defined)</em>

So, when angle θ increases to 90°, then the value of tan(θ) increases rapidly, as shown in the figure below.

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If the mean of 25, 28, a, 30 and 32 is 27, then find the value of a.
Anna11 [10]

Answer:

a = 20

Step-by-step explanation:

The mean is calculated as

mean = \frac{sum}{count}

          = \frac{25+28+a+30+32}{5}  = \frac{115+a}{5}

Then

\frac{115+a}{5} = 27 ( multiply both sides by 5 to clear the fraction )

115 + a = 135 ( subtract 115 from both sides )

a = 20

6 0
3 years ago
A square has an area of 4ft. What is the length of watch side
ohaa [14]

Answer:

2

Step-by-step explanation:

square have the same side length is the area is 4 you would have to find what number that you can multiply by itself twice (ex: 2x2) that gets you four the only number does that is 2

6 0
3 years ago
Read 2 more answers
Solve 2x2 – 6x + 10 = 0 by completing the square.
Ugo [173]

Answer:

Step-by-step explanation:

2x^2-6x+10=0

2(x^2-3x)+10=0

2(x-(3/2))^2-9/4)+10=0

2(x-(3/2))^2+10-9/2=0

2(x-(3/2))^2+(20-9)/2=0

2(x-(3/2))^2+11/2=0

2(x-(3/2))^2=-11/2

square is always positive so there is no solution

5 0
3 years ago
The circumference of a circle is 314 units. What is the area?
german

Answer:

7850 square units

Step-by-step explanation:

According to the question;

  • Circumference of a circle is 314 units;

We are required to find the area of the circle;

  • First, we need to ask ourselves how we get the perimeter of a circle;

Perimeter of a circle = pi × D or 2 pi r

Therefore;

Rearranging the formula;

D = Perimeter ÷ pi

Taking pi to be 3.14

Then;

Diameter = 314 units ÷ 3.14

              = 100 units

But, radius = Diameter ÷ 2

                  = 100 units ÷ 2

                  = 50 units

We also need to know how we calculate the area of a circle;

Area of a circle = pi×r²

Therefore;

Taking pi as 3.14

Then, Area = 3.14 × 50²

                   = 7850 square units

Thus, the area of the circle is 7850 square units

4 0
3 years ago
Oh geez. I really need to understand word problems better...
ser-zykov [4K]
60/100=3/5 is the answer
7 0
3 years ago
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