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Stells [14]
2 years ago
14

Find the area of the shape above

Mathematics
1 answer:
kirill115 [55]2 years ago
6 0

Answer:

625 cm^2

Step-by-step explanation:

Break it into a rectangle on the bottom and a triangle on top

rectangle area = 50 x 8 = 400 cm^2

triangle area = 1/2 b * h = 1/2 * 50 * 9 = 225 cm^2

added together = 625 cm^2

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Select the correct answer from each drop-down menu.
serious [3.7K]

Answer:

Center: (4,8)

Radius: 2.5

Equation: (x-4)^2+(y-8)^2=6.25

Step-by-step explanation:

It was given that; the endpoints of the longest chord on a circle are (4, 5.5) and (4, 10.5).

Note that the longest chord is the diameter;

The midpoint of the ends of the diameter gives us the center;

Use the midpoint formula;

(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )

The center is at; (\frac{4+4)}{2} ,\frac{5.5+10.5}{2}=(4,8)

To find the radius, use the distance formula to find the distance from the center to one of the endpoints.

The distance formula is;

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

r=\sqrt{(4-4)^2+(10.5-8)^2}

r=\sqrt{0^2+(2.5)^2}

r=\sqrt{0^2+(2.5)^2}=2.5

The equation of the circle in standard form is given by;

(x-h)^2+(y-k)^2=r^2

We substitute the center and the radius into the formula to get;

(x-4)^2+(y-8)^2=2.5^2

(x-4)^2+(y-8)^2=6.25

6 0
3 years ago
Hannah is deciding between two truck rental companies. Company A charges an initial fee of $30 for the rental plus $2 per mile d
Degger [83]

Answer:

Hannah is deciding between two truck rental companies. Company A charges an initial fee of $30 for the rental plus $2 per mile driven. Company B charges an initial fee of $100 for the rental plus $1 per mile driven. Let AA represent the amount Company A would charge if Hannah drives xx miles, and let BB represent the amount Company B would charge if Hannah drives xx miles. Write an equation for each situation, in terms of x,x, and determine the interval of miles driven, x,x, for which Company A is cheaper than Company B.

5 0
3 years ago
If the side lengths of a cube are 14 feet, what is the correct way to write the expression to represent the volume of the cube i
Kryger [21]

Answer: Choice A) 14^3

This is the same as writing 14^3

===================================================

Explanation:

Since all the sides are 14 feet long, we can basically say length = width = height = 14.

Or put another way:

  • length = 14
  • width = 14
  • height = 14

The volume of the cube is length*width*height = 14*14*14 = 14^3 = 2744 cubic feet.

-----------

The term 14^3 has a base of 14 and exponent of 3.

The base is what we multiply out while the exponent tells us how many copies of the base to multiply. In this problem, we have 3 copies of 14 being multiplied. So that's why 14^3 = 14*14*14

If you were to say something like 3^14, then you would have 14 copies of 3 multiplied out, which is a much larger value. So we'll cross choice B off the list.

Choice C isn't correct either since again we're using exponents and not multiplication to tie together the 14 and 3.

Choice D would be correct if your teacher wanted it in expanded form, instead of exponent form.

6 0
3 years ago
¿como representarían la expresión "cualquier posición"?
tensa zangetsu [6.8K]

Answer:

How would you represent the expression "any position"?

Step-by-step explanation:

8 0
2 years ago
Use calculus to find the area a of the triangle with the given vertices. (0, 0), (5, 1), (3, 6)
Natalka [10]
See, pls, the suggested decision, if it's possible check the arithmetic part.

3 0
3 years ago
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