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2 years ago

The diagram shows two semicircles with centre A of radius 3 cm and centre B of radius 4 cm. AB = 5 cm.

Mathematics

1 answer:

xeze [42]2 years ago

5 0

Step-by-step explanation:

AD 3CM B 10 CM C TO SHADE IN THE REGION MORE THAN 2 CM FROM A ,OA Circle centre with radius 2cm OA Circle center D with radius 2 CM i

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Solve the question below

mamaluj [8]

Answer: the scale factor is 2.5

Step-by-step explanation: hope it helps :)

7 0

3 years ago

Find the area of the shape shown below. I reallly need help and do not put a unbelieable answer.

larisa [96]

Answer:

63/2 or 31.5

Step-by-step explanation:

we can split this shape into 2, a triangle and a rectangle

A triangle = bh/2 = 7*3*1/2 = 21/2

A rectangle = b*h = 3*7 = 21

21/2 + 21 = 63/2

3 0

4 years ago

Find two positive integers such that the sum of the first number and four times the second number is 1000, and the product of th

vladimir2022 [97]

Answer:

The two numbers are:

x = 500

y = 125

Step-by-step explanation:

We want to find two numbers x and y, such that:

x + 4*y = 1000

f(x, y) = x*y is maximum.

From the first equation, we can isolate one of the variables to get

x = 1000 - 4y

now we can replace it in f(x, y):

x*y = (1000 - 4*y)*y = 1000*y - 4*y^2

So now we want to maximize the function:

f(y) =- 4*y^2 + 1000*y

where y must be an integer.

Notice that this is a quadratic equation with a negative leading coefficient (so the arms of the graph will open downwards), thus, the maximum will be at the vertex.

Remember that for a general quadratic equation:

y = a*x^2 + bx + c

the x-value of the vertex is:

x = -b/(2*a)

so, in the case of:

f(y) =- 4*y^2 + 1000*y

the y-value of the vertex will be:

y = -1000/(2*-4) = 1000/8 = 125

So we found the value of y.

now we can use the equation:

x = 1000 - 4*y

x = 1000 - 4*125 = 1000 - 500 = 500

x = 500

Then the two numbers are:

x =500

y = 125

6 0

3 years ago

Solve the system for the value of x and y

horrorfan [7]

What is the system that you have to solve to find the value of x and y?

3 0

3 years ago

find the surface areas of the larger cone and the smaller cone in terms of pi. compare the surface areas using a percent. (the m

serious [3.7K]

ANSWER :

Surface area of larger cone : 24π units^2

Surface area of smaller cone : 6π units^2

The surface area of the smaller cone is 25% of that of the larger cone.

EXPLANATION :

From the given problem,

AB = 3 is the radius of the larger cone and the slanted height is BC = 5

DE = 1.5 is the radius of the smaller cone and the slanted height is EC = 2.5

Recall the surface area of the cone :

$A=\pi r^2+\pi rL$

where r = radius and L = slanted height.

For the larger cone, r = 3 and L = 5

$\begin{gathered} A=\pi(3)^2+\pi(3)(5) \\ A=24\pi \end{gathered}$

For the smaller cone, r = 1.5 and L = 2.5

$\begin{gathered} A=\pi(1.5)^2+\pi(1.5)(2.5) \\ A=6\pi \end{gathered}$

Comparing the surface areas :

The area of the smaller cone compared to the larger cone is :

$\begin{gathered} \frac{smaller}{larger}\times100=\frac{6\pi}{24\pi}\times100 \\ \\ =25\% \end{gathered}$

3 0

1 year ago