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lisabon 2012 [21]
3 years ago
11

What is the area of the triangle

Mathematics
1 answer:
Reika [66]3 years ago
7 0
Base x height divided by 2
10x8=80
80÷2=40
area=40
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Your sister is considering two different shapes of her garden. One is a square with side lengths of 3.5 meters, and the other is
Bond [772]
A square always has 4 equal sides. this is a well known fact and this can be used to deduce the area of the square. We also know that the length of one side of the square is 3.5 metres. Then to finding the area of the square is easy.
Area of the square = (3.5 * 3.5) square metres
                               = 12.25 square metres
So the area of the square garden is 12.25 square metres.
the formula of calculating area changes with the shape of the garden. this formula will not work if the garden is rectangular or circular in shape.
7 0
3 years ago
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What is the verbal expression for 7 to the third power
ANEK [815]
The verbal expression for 7 to the third power is 343
5 0
3 years ago
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A sine function has the following key features: Period = 4 Amplitude = 3 Midline: y=−1 y-intercept: (0,-1) The function is not a
mezya [45]

Answer:

  • See the graphs attached and the explanation below

Explanation:

The most simple sine function, considered the parent function, is:

     y=sin(x)

That function has:

  • Midline, also known as rest or equilibrium position: y = 0
  • Minimum: - 1
  • Maximum: 1
  • Amplitude: the distance between a minimum or a maximum and the midline = 1
  • period: the interval of repetition of the function = 2π

The more general sine function is:

             y=Asin(Bx+C)+D

That function has:

  • Midline: y = D (it is a vertical shift from the parent function)
  • Minimum: - A + D
  • Maximum: A + D
  • Amplitude: A
  • period: 2π/B
  • phase shift: C (it is a horizontal shift of the from the parent function)

Now, you have to draw the sine function with the given key features:

  • Period = 4 ⇒ 2π/B = 4 ⇒ B = π/2
  • Amplitude, A = 3
  • midline y = - 1 ⇒ D = - 1
  • y-intercept = (0, -1)

Substitute the know values and use the y-intercept to find C:

       

            y=3sin(2x/\pi+C)-1

Substitute (0, -1)

             

              -1=3sin(0+C)-1\\ \\ 3sin(C)=0\\ \\ sin(C)=0\\ \\ C=0

Hence, the function to graph is:

              y=3sin(\pi x/2)-1

To draw that function use this:

  • Maxima: 3(1) - 1 = 3 - 1 = 2, at x = 1 ± 4n (n = 0, 1, 2, 3, ...)
  • Minima: 3(-1) - 1 = - 3 - 1 = -4
  • y-intercept: (0, - 1)
  • x-intercepts: the solutions to 0 = 3sin(πx/2) = - 1
  • first point of the midline: (0, -1) it is the same y-intercept

With that you can understand the graphs attached.

4 0
3 years ago
Two combines can harvest 320 acres of wheat in a certain amount of time. Assuming all combines work at the same rate, how many a
hoa [83]
2 combines = 320 acres
320/2 = 160 acres per combine
160 * 6 = 960
Answer: 960 acres

Hope this helps!
4 0
3 years ago
Help this is due today!!!!
KIM [24]

\frac{4}{32}  \times 100 = 12.5\%
7 0
3 years ago
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