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erastovalidia [21]
3 years ago
9

Can someone please solve and explain this?

Mathematics
1 answer:
Maksim231197 [3]3 years ago
6 0
Basically all you have to do is find the area of both circle and then minus the non-shaded area from the shaded area. So the equation to find the area of a circle is πr^2 so the radius for the non-shaded shaded is 1.2 square that then mutiply it by π ,(pi). Next the radius for the whole circle is 3.5 so square that then mutiply it by π. Next just subtract the two, non-shaded to shaded area.
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focus: 0,4.8575
axis of symmetry: x = 0
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A string of decorative lights is 28 feet long. The first light on the string is 16 inches from the plug. If the lights on the st
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Well if there is 28 feet, that would be (12x28) 336 inches,  and 16 inches between the plug and the first light, there would be only 320 inches left for lights. therefore, if there are 4 inches between each light, we divide 320 by 4.  the answer we get is 80. there are 80 lights.
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2 years ago
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Match each circular flower bed on the left to its circumference and its area on the right. Some answer options on the right will
marin [14]

Answer:

Bed A --- Third Option

Bed B --- Fifth Option

Step-by-step explanation:

Flower Bed A)

The formula for circumference is:

C=2\pi r

The diameter of A is 10 feet. So, its radius is 5 feet.

Substitute 5 for r. So, the circumference of Bed A is:

C=2\pi (5)=10\pi\text{ feet}

The formula for the area of a circle is:

A=\pi r^2

Substitute 5 for r:

A=\pi (5)^2

Square and simplify:

A=25\pi \text{ square feet}

So, the circumference of Bed A is 10π feet and its area is 25π square feet.

Therefore, match Bed A to the third option.

Flower Bed B)

The radius of Bed B is 6 feet. Again, we can use the circumference and area formulas. Substitute 6 for r for circumference:

C=2\pi (6)

Multiply:

C=12\pi\text{ feet}

Substitute 6 for r for the area formula:

A=\pi(6)^2

Square and simplify:

A=36\pi\text{ square feet}

So, Bed B has a 12π feet circumference and a 36π square feet area.

Therefore, match Bed B to the fifth option.

And we're done!

8 0
3 years ago
Determine whether f(x) = –5x^2 – 10x + 6 has a maximum or a minimum value.
Blizzard [7]

First,

We are dealing with parabola since the equation has a form of,

y=ax^2+bx+c

Here the vertex of an up - down facing parabola has a form of,

x_v=-\dfrac{b}{2a}

The parameters we have are,

a=-5,b=-10, c=6

Plug them in vertex formula,

x_v=-\dfrac{-10}{2(-5)}=-1

Plug in the x_v into the equation,

y_v=-5(-1)^2-10(-1)+6=11

We now got a point parabola vertex with coordinates,

(x_v, y_v)\Longrightarrow(-1,11)

From here we emerge two rules:

  • If a then vertex is max value
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So our vertex is minimum value since,

a=-5\Longleftrightarrow a

Hope this helps.

r3t40

7 0
3 years ago
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