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2 years ago

The letters x and y represent rectangular coordinates. Write the following equation using polar coordinates (r, θ). x^2+4y^2=4

Mathematics

1 answer:

GREYUIT [131]2 years ago

7 0

We know x = r*cosθ and y = r*sinθ and just substitute

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Find the missing values on the diagram below. Assume that each line is evenly divided

Mice21 [21]

Answer:

Step-by-step explanation:

Can the sides of a triangle have lengths 5, 8, and 11?

8 0

3 years ago

Scientists modeled the intensity of the sun, I, as a function of the number of hours since 6:00 a.m., h, using the

MAVERICK [17]

The functions are illustrations of composite functions.

<em>The soil temperature at 2:00pm is 67</em>

The given parameters are:

$\mathbf{I(h) =\frac{12h - h^2}{36}}$ ---- the function for sun intensity

$\mathbf{T(I) =\sqrt{5000I}}$ -- the function for temperature

At 2:00pm, the value of h (number of hours) is:

$\mathbf{h = 2:00pm - 6:00am}$

$\mathbf{h = 8}$

Substitute 8 for h in $\mathbf{I(h) =\frac{12h - h^2}{36}}$ , to calculate the sun intensity

$\mathbf{I(8) =\frac{12 \times 8 - 8^2}{36}}$

$\mathbf{I(8) =\frac{32}{36}}$

$\mathbf{I(8) =\frac{8}{9}}$

Substitute 8/9 for I in $\mathbf{T(I) =\sqrt{5000I}}$ , to calculate the temperature of the soil

$\mathbf{T(8/9) =\sqrt{5000 \times 8/9}}$

$\mathbf{T(8/9) =\sqrt{4444.44}}$

$\mathbf{T(8/9) =66.67}$

Approximate

$\mathbf{T(8/9) =67}$

Hence, the soil temperature at 2:00pm is 67

Read more about composite functions at:

brainly.com/question/20379727

5 0

2 years ago

10. The expression 4 (2x-5)+7(x+2) can be written in simplest form as

ankoles [38]

Answer:

15x-6

Step-by-step explanation: 4 * 2x = 8x

4*-5 = -20

7*x = 7x

7*2= 14

Combine like terms 8x + 7x + 14-20

15x-6

4 0

2 years ago

Find the measure of

Butoxors [25]

Step-by-step explanation:

angles a,f,g form a triangle

sum of angles in ∆ = 33 + 112+ a = 180

145 + a = 180

a = 35°

7 0

1 year ago

Find the area of the figure.

ipn [44]

Answer:

89m

Step-by-step explanation:

First, find the area of the rectangle (ignoring the missing triangle inside). The area of the rectangle is its base times its height, which is 8*13=104.

Next, find the area of the triangle. The area of the triangle is its base times height, divided by two.

The width of one side of the rectangle is 13, and the width of the side of the rectangle is 8 (4 + 4). Therefore, subtract 8 from 13 and the missing section in the side of the rectangle is 5. 5 is equal to the base of the triangle.

The height of the triangle is given, which is 6. As stated before, the area of a triangle is its base times height divided by two, which is 5*6/2 in this case. The area of the triangle is equal to 15.

Now, subtract the area of the triangle from the area of the rectangle. 104-15=89.

3 0

3 years ago