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Free_Kalibri [48]
3 years ago
9

crater Lake in Oregon in shaped like a circle with a diameter of about 5.5 miles. What is the area of the surface of crater lake

?
Mathematics
1 answer:
N76 [4]3 years ago
3 0

Answer:

Given the statement: Crater Lake in Oregon in shaped like a circle with a diameter of about 5.5 miles.

Area of circle is given by:

A = \pi \frac{d^2}{4}

where

A represents the area of a circle

d represents the diameter of a circle.

then;

It is given that Surface of Crater lake is shaped like a circle.

Substitute the given values, we have;

Area of a circle = \pi \frac{(5.5)^2}{4}

= 3.14 \times \frac{30.25}{4} =3.14 \times 7.5625 = 23.74625 square miles

therefore, the area of a surface of a crater lake is, 23.74625 square miles.

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Answer:

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Step-by-step explanation:

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Difference:

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2 years ago
An object dropped from a height of 600 feet has a height, h(t), in feet after t seconds have elapsed, such that h(t)=600 - 16t^2
gulaghasi [49]

Answer:

t as a function of height h is  t = √600 - h/16

The time to reach a height of 50 feet is 5.86 minutes

Step-by-step explanation:

Function for height is h(t) = 600 - 16t²

where t = time lapsed in seconds after an object is dropped from height of 600 feet

t  as a function of height h

replacing the function with variable h

h = 600 - 16t²

Solving for t

Subtracting 600 from both side

h - 600 = -16t²

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Take square root of both sides

√600 - h/16 = t

Therefore, t = √600 - h/16

Time to reach height 50 feet

t = √600 - h/16

substituting h = 50 in the equation

t = √600 - 50/16

t = √550/16

t= 34.375

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7 0
3 years ago
What are the similarities and differences between comparing whole numbers and decimals
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find the solution to the system. write your solution as an ordered pair (x,y) with no spaces, no solution or infinitely many 2x-
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Answer:

(-8,4)

Step-by-step explanation:

Given: 2x-3y=-28 and x+6y=16

solve for a variable and then substitute back into other equation

x + 6y = 16

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32 - 12y - 3y = -28; combine y's

32 - 15y = -28; isolate 15y

32 + 28 = 15y; add the numbers

60 = 15y; divide by 15

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4 0
3 years ago
2. Match the shapes given to their correct areas.
aliina [53]

Applying the formula for each identified shape that are given, the correct areas to each shape are:

a. <em>Square </em>= 134.6 sq. yd

b. <em>Circle </em>= 452.2 sq. cm

c. <em>Parallelogram </em>= 40.6 sq. cm

d. <em>Rectangle </em>= 43.2 sq. ft

e. <em>Trapezium </em>= 25.7 sq. m

f. <em>Triangle</em> = 21.6 sq. ft

a. The shape given is a square.

Area of the square = s^2

Where,

s = 11.6 yd

Plug in the value of s

Area of the square = 11.6^2 = 134.6 $ yd^2

b. The shape given is a circle.

Area of the circle = \pi r^2

  • Where,

r = 12 cm

  • Plug in the value of r

Area of the square = \pi \times 12^2 = 452.2 $ cm^2

c. The shape given is a parallelogram.

Area of the parallelogram = bh

  • Where,

b = 7 cm

h = 5.8 cm

  • Plug in the value of b and h

Area of the parallelogram = 7 \times 5.8 = 40.6 $ cm^2

d. The shape given is a rectangle.

Area of the rectangle = l \times w

  • Where,

l = 8.3 ft

w = 5.2 ft

  • Plug in the value of l and w

Area of the rectangle = 8.3 \times 5.2 = 43.2 $ ft^2

e. The shape given is a trapezium.

Area of the trapezium = \frac{1}{2} (a + b)  \times h

  • Where,

a = 2.8 m

b = 10.4 m

h = 3.9 m

  • Plug in the value of a, b, and h

Area of the trapezium = \frac{1}{2}(2.8 + 10.4) \times 3.9 = 25.7 $ m^2

f. The shape given is a triangle. <em>(See attachment for the shape).</em>

Area of the triangle = \frac{1}{2}  \times b  \times h

  • Where,

b = 9 ft

h = 4.8 ft

  • Plug in the value of b, and h

Area of the triangle = \frac{1}{2} \times 9 \times 4.8 = 21.6 $ ft^2

Therefore, applying the formula for each identified shape that are given, the correct areas to each shape are:

a. <em>Square </em>= 134.6 sq. yd

b. <em>Circle </em>= 452.2 sq. cm

c. <em>Parallelogram </em>= 40.6 sq. cm

d. <em>Rectangle </em>= 43.2 sq. ft

e. <em>Trapezium </em>= 25.7 sq. m

f. <em>Triangle</em> = 21.6 sq. ft

Learn more here:

brainly.com/question/22560863

5 0
2 years ago
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