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3 years ago

This Is Graded, Please Help TYSM!

Mathematics

1 answer:

olchik [2.2K]3 years ago

4 0

Answer: For the cirlces since I already answered the triangles

1. Area:660.519855417

Circumference:91.1061869541

2. Area: 572.555261117

Circumference:84.8230016469

3. Area:283.528736986

Circumference:59.6902604182

4. Area:1017.87601976

Circumference:113.097335529

5. Area: 63.6172512352

Circumference: 28.2743338823

6. Area:380.132711084

Circumference:69.115038379

Step-by-step explanation:

The formula for the area of a circle is π*r^2, r being the radius or the half line in the circle, and the formula for the circumference is π*r*2, or π*d, or the diameter which is the line that goes all the way through like number 5. The radius is half the diameter.

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Suppose the graph of a cubic polynomial function has the same zeroes and passes through the coordinate (0, -5). Write the equati

amid [387]

In this we know all three zeros and one point from which the graph pass.
So we will let specific cubic polynomial function of the form
$f(x) = a(x - x_1)(x-x_2)(x-x_3)$

As we know zeros are that point where we will get value of function equal to zero. So it is basically in form $(x_n , 0)$

SO in given question zeros are (2 , 0) , (3, 0) and (5,0)
So we can say $x_1 = 2 , x_2 = 3 , x_3 = 5$

So required equation is
$f(x) = a (x-2)(x-3)(x-5)$
              $= a[(x^2 - 2x - 3x + 6)(x-5)]$
              $= a[(x^2 - 5x+6)(x-5)]$
              $= a(x^3 - 5x^2 + 6x- 5x^2 + 25x - 30)$
              $= a(x^3 - 10x^2+31x-30)$
Now we have one point (0 , -5) from which graph passes.
So we say at x = 0 , f(x) = -5
$-5= a (0-0+0 - 30)$
$-5 = -30a$
$a = \frac{-5}{-30} = \frac{1}{6}$
So required equation of cubic polynomial is
$f(x) = \frac{1}{6}(x^3 -10x^2+31x-30)$

For finding y - intercept we simply plugin x = 0 in given equation.
As we know at x = 0 , value of function is -5.
So y - intercept is -5.

4 0

3 years ago

Read 2 more answers

Whats the meaning of the tiatary industry

Vesna [10]

Answer:

Its the segment of the economy that provides services to its consumers, including a wide range of businesses such as financial institutions, schools and restaurants.

Step-by-step explanation:

Hope this helps and have a great day

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3 years ago

Read 2 more answers

69) Half-way to the center of a planet of uniform density, your weight compared to that at the surface would be :

mel-nik [20]

Answer:

One- half

Step-by-step explanation:

Since the density is uniform

Mass of the sphere = [(4/3) π r^3] d

where d is the uniform density.

Mass of the sphere = [(4/3) π d] r^3 = k r^3

where k = [(4/3) π d] is a constant

Weight = mg = G m M / r^2 = G m [k r^3] /r^2 = G m k r

Using Gauss’ law for gravitation,

Half way to the center of a planet the weight is only due to the inner sphere and the outer sphere does not contribute to his weight,

Inside his weight is mg’ = (G m k r) /2 = mg/2

Answer is one-half.

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3 years ago

The volume of a cylinder is 480pie cm3. The height of the cylinder is 30 cm. What is the radius of the

guajiro [1.7K]

Answer:

R = 4cm

Step-by-step explanation:

V = π(R)²h = 480π

Divide by π

(R)²h = 480

Substitute h with 30

30*(R)² = 480

Divide by 30

(R)² = 16

Square root

R = 4cm

We do not accept R= -4 because it's a length, so it must be positive.

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2 years ago

5627 times an unknown variable is 41

vodomira [7]

Let the unknown variable be x.
5627x=41
x=41/5627

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3 years ago