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3 years ago

Marco wants to create a new circle using gx as a radias. What will be the area of marcos new circle ?

Mathematics

2 answers:

nirvana33 [79]3 years ago

8 0

What is gx and radias?

maksim [4K]3 years ago

5 0

Answer:

This question is incomplete, it lacks the diagram illustrating the circle and the options. The diagram has been attached. These are the options:

a. 10 pie cm2

b. 16 pie cm2

c. 356 pie cm2

d. 676 pie cm2

The answer is D

Step-by-step explanation:

The area of a circle is calculated by using the formula: πr^2, where r is the radius

According to the diagram in the attachment consisting of two circles; a small circle of radius GY=10cm and a large circle of radius YX=16cm.

Hence, Marco wants to create a new circle by using a radius GX i.e. the length of the line GX, which can be derived by adding GY + YX i.e. 10cm + 16cm = 26cm.

Therefore, GX is 26cm, meaning the radius of Marco's new circle will be 26cm.

To find the area of this new circle, we use the formula: πr^2, where r = radius = 26cm

Hence, Area = π × 26^2

26^2 = 26 × 26 = 676

π × 676

= 676π

Area of new circle= 676π squarecentimetres(cm2)

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3 years ago

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Answer:

Step-by-step explanation:

The first answer a, is not a linear function because of the first term, 2√(x), this is basically 2(x^(1/2)) which means that it is not linear

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C is not linear because it forms a circle when graphed

D is linear because there are no exponents in any of the variables.

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After writing part of his novel, Thomas is now writing 16 pages per week. After 4 weeks, he has written 85 pages. Assume the rel

d1i1m1o1n [39]

The initial value is 21 and rate of change is 16 pages per week

<em><u>Solution:</u></em>

Given that After writing part of his novel, Thomas is now writing 16 pages per week

After 4 weeks, he has written 85 pages.

Given that assume the relationship to be linear

Linear relationships can be expressed either in a graphical format or as a mathematical equation of the form y = mx + c

y = mx + c

where "y" is the number of pages written after 4 weeks

x = 4 weeks and m = 16 pages

Therefore,

85 = 16(4) + c

85 = 64 + c

c = 85 - 64

c = 21

Therefore, initial value is 21 and rate of change is 16 pages per week

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3 years ago

The function h(x) = 12x8 + 49 is an even function. Which transformation of h(x) would result in a function that is neither even

Irina-Kira [14]

Answer: translation 8 units to the right

Step-by-step explanation:

An even function is a function such that:

h(x) = h(-x)

and the function is odd if:

h(-x) = -h(x)

Now, let's talk about transformations:

A) Reflection over the x-axis:

When we have a point (x,y) and we do a reflection over the x-axis, the reflected point will be:

(x, -y).

Then for the case of a function:

y = h(x).

then the reflection will be:

g(x) = - y = -h(x).

And if h(x) is even, -h(x) is also even, so this is not the correct option.

B) Vertical stretch by a factor of 7.

This is written as:

g(x) = 7*h(x).

then:

g(x) = 7*h(x)

g(-x) = 7*h(-x) = 7*h(x) = g(x)

the transformation is even.

C) Translation of 8 units to the right.

We can write this as:

g(x) = h(x - 8).

Then:

g(-x) = h(-x -8) = h(x + 8)

Then g(-x) is not equal to g(x)

and also g(-x) ≠ -g(x)

So in this case the transformation is neither odd or even.

C) horizontal compression by a factor of One-half.

This transformation is written as:

g(x) = h( (1/2)*x)

And, similar as the case of the vertical compression, in this case the transformation is also even.

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3 years ago