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Airida [17]
3 years ago
10

Work out the area of this circle

Mathematics
1 answer:
Svetach [21]3 years ago
5 0

Answer:

A = 50.3 cm²

Step-by-step explanation:

<u><em>Area of a circle = </em></u>\pi r^2<u><em></em></u>

Where r = 4 cm

A = π(4)²

A = 16(3.14)

A = 50.3 cm²

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How do you verify this trigonometric identity? cos^2 θcot^2 θ = cot^2 θ - cos^2 θ
sattari [20]
<h3>Explanation:</h3>

Replace cos^2(θ) with 1-sin^2(θ), and cot(θ) with cos(θ)/sin(θ).

  cos^2(θ)cot^2(θ) = cot^2(θ) - cos^2(θ)

  (1 -sin^2(θ))cot^2(θ) =  . . . . . replace cos^2 with 1-sin^2

  cot^2(θ) -sin^2(θ)·cos^2(θ)/sin^2(θ) = . . . . . replace cot with cos/sin

  cot^2(θ) -cos^2(θ) = cot^2(θ) -cos^2(θ) . . . as desired

8 0
3 years ago
Tim has an irregularly shaped garden, as shown below. What is the area of his garden (in square feet)?
Grace [21]
Answer is 174 ft2.


Area of triangle: 24 ft2

First, find the horizontal side of the triangle (using pythagorus).
16-10=6
root10^2 - 6^2 = 8 ft

Then work out the area of the triangle.
(8 x 6)/2 = 24 ft2

Secondly, find the area of the rectangle.
10 x 15 = 150 ft2

Then add up the area of the triangle and rectangle.

150+24= 174 ft2
4 0
3 years ago
Solve the equation for x. show your work log(2x-6)=2
borishaifa [10]

Answer:

x = e^2/2 + 3

Step-by-step explanation:

Solve for x:

log(2 x - 6) = 2

Hint: | Eliminate the logarithm from the left hand side.

Cancel logarithms by taking exp of both sides:

2 x - 6 = e^2

Hint: | Isolate terms with x to the left hand side.

Add 6 to both sides:

2 x = e^2 + 6

Hint: | Solve for x.

Divide both sides by 2:

Answer: x = e^2/2 + 3

8 0
2 years ago
Read 2 more answers
Complete the sentence below. A function f is​ _____ on an open interval I​ if, for any choice of x1 and x2 in​ I, with x1less th
mojhsa [17]

Answer:

Increasing if f' >0 and decreasing if f'<0

Step-by-step explanation:

Difference quotient got by getting

\frac{f(x+h)-f(x)}{h} will be greater than 0 if function is increasing otherwise negative

Here h is a small positive value.

In other words, we find that whenever first derivative of a function f(x) is positive the function is increasing.

Here given that for x1, x2 where x1<x2, we have

if f(x1) <f(x2) then the function is decreasing.

Or if x1<x2 and if f(x1) >f(x2) for all x1, and x2 in I the open interval we say f(x) is decreasing in I.

5 0
3 years ago
Write an equation and solve: Twice a number, increased by 3 is 7.
brilliants [131]
The equation is 2x+3=7
2x +3=7
      -3  -3
2x=4
divide both sides by 2
x=2
the answer is 2
3 0
2 years ago
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