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3 years ago

20 POINTS the perimeter of a semicircular disc whose diameter is 28 cm.

Mathematics

2 answers:

Lubov Fominskaja [6]3 years ago

8 0

87.96 cm

I hope this helped out! Have a nice day :)

gavmur [86]3 years ago

7 0

Answer:

87.96 cm

Step-by-step explanation:

I had this answer up but it got deleted for sum reason....

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Find an equation of the circle that has center (-4,3) and passes through (6,-4).

kumpel [21]

Answer:

$(x+4)^2+(y-3)^2=149$

Step-by-step explanation:

The equation of a circle is $(x-h)^2+(y-k)^2=r^2$ where $(h,k)$ is the center of the circle and $r$ is the radius of the circle.

Given that $(h,k)\rightarrow(-4,3)$ and it passes $(6,-4)$ , their distance between each other must the radius of the circle, so we can use the distance formula to find the radius:

$d=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}\\\\d=\sqrt{(-4-3)^2+(6-(-4))^2}\\\\d=\sqrt{(-7)^2+10^2}\\\\d=\sqrt{49+100}\\\\d=\sqrt{149}$

Therefore, if the length of the radius is $r=\sqrt{149}$ units, then $r^2=149$ , making the final equation of the circle $(x+4)^2+(y-3)^2=149$

5 0

2 years ago

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Stels [109]

Answer:

Diameter = 43.96 $m^{2}$

Circumference = 153.86 $m^{2}$

8 0

3 years ago

Find the area of the following polygon:

Masja [62]

Given:

ABCD is a quadrilateral

AC = 12, DE = 4 and FB = 5

To find:

The area of the polygon.

Solution:

AC bisects the quadrilateral into two triangles.

Area of triangle:

$$A=\frac{1}{2}\times\text{base}\times\text{height}$

<u>Area of triangle DAC:</u>

$$A=\frac{1}{2}\times AC \times DE$

$$A=\frac{1}{2}\times 12 \times 4$

$A=24$

Area of triangle DAC = 24 square units.

<u>Area of triangle BAC:</u>

$$A=\frac{1}{2}\times AC \times FB$

$$A=\frac{1}{2}\times 12 \times 5$

$A=30$

Area of triangle BAC = 30 square units.

Area of polygon = Area of triangle DAC + Area of triangle BAC

= 24 square units + 30 square units

= 54 square units

The area of the polygon is 54 square units.

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3 years ago

What does it mean for a temperature to be below zero? Provide an example.

VladimirAG [237]

Answer:

ice to water to fire to coal to burnt fiber to gas

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3 years ago

The fish population in a certain part of the ocean (in thousands of fish) as a function of the water's temperature (in degrees c

Fiesta28 [93]

y=-2(x-9)²+200

Compare to vertex form of parabola y=a(x-h)²+k

Vertex:-

(h,k)=(9,200)

As a is negative vertex is maximum

Max temperature=9°C

7 0

2 years ago

Read 2 more answers