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3 years ago

The larger of two number is 5 times the smaller. The difference between them is 36

1 answer:

4 0

X = larger number, y = smaller number

x = 5y
x - y = 36

5y - y = 36
4y = 36
y = 36/4
y = 9

x = 5y
x = 5(9)
x = 45

ur numbers are 45 and 9 <==

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A.Find the total and area of the compound figures

goldfiish [28.3K]

Answer:

(a) The total area of compound figure is $284.52ft^2$ .

(b) The total perimeter of compound figure is 68.84 ft.

Step-by-step explanation:

Perimeter: The total distance covered by the figure.

Area: It is defined as the space occupied by the figure.

Given:

Length of rectangular figure = 19 ft

Breadth of rectangular figure = 12 ft

Radius of circle, r = $\frac{12ft}{2} = 6 ft$

Part (a):

Now calculating the total area of the compound figure.

$\text{Total area}=\text{Area of rectangular figure}+\frac{1}{2}\times \text{Area of circle}\\\\\text{Total area}=\text{Length}\times \text{Breadth}+\frac{1}{2}\times \pi r^2$

Now putting all the given values in this formula, we get:

$\text{Total area}=(19ft\times 12ft)+\frac{1}{2}\times 3.14\times (6ft)^2\\\\\text{Total area}=284.52ft^2$

Part (b):

Now calculating the total perimeter of the compound figure.

$\text{Total perimeter}=2\times \text{Length}+Breadth+(\frac{1}{2}\times \text{Circumference})\\\\\text{Total perimeter}=2\times \text{Length}+Breadth+(\frac{1}{2}\times 2\times \pi \times r)$

Now putting all the given values in this formula, we get:

$\text{Total perimeter}=2\times \text{Length}+Breadth+(\frac{1}{2}\times 2\times \pi \times r)\\\\\text{Total perimeter}=2\times 19ft+12ft+(\frac{1}{2}\times 2\times 3.14 \times 6ft)\\\\\text{Total perimeter}=68.84ft$

8 0

3 years ago

Write an equation for the statement. (3 more than the product of y and 5 is 38.)

DedPeter [7]

Answer:

y*5+3=38

Step-by-step explanation:

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3 years ago

Please help ASAP RN

Inessa05 [86]

Answer:

Step-by-step explanation:

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3 years ago

Which of the expressions below can be factored using the difference of squares method? A. 25x2 - 64y2 B. 17x2 + 23y2 C. 17x2 - 2

denis-greek [22]

<span>Difference of squares method is a method that is used to evaluate the difference between two perfect squares.

For example, given an algebraic expression in the form:
$x^2-y^2$
can be factored as follows:
$(x-y)(x+y)$

From the given expressions, the only expression containing two perfect squares with the minus sign in the middle is the expression in option A.
i.e. $25x^2-64y^2$
which can be factored as follows:
$(5x-8y)(5x+8y)$ .</span>

7 0

2 years ago

a cylinder shaped can needs to be constructed to hold 400 cubic centimeters of soup. the material for the sides of the can costs

fredd [130]

The dimensions of the can are radius of can = 4cm and

height of can = 78.6cm

What is the volume of cylinder?

A cylinder can be seen as a collection of multiple congruent disks, stacked one above the other. In order to calculate the space occupied by a cylinder, we calculate the space occupied by each disk and then add them up.

Thus, the volume of the cylinder can be given by the product of the area of base and height.

Volume of cylinder = πr²h

According to the given question:

We have V cylinder = V = 400cc

We will first find the areas involved

Let x = radius of base then area of the base = π*x² and this is the area of the top too

For lateral area we need to get h the height of the cylinder as function of x

V = πx²h ⇒ h= v/πx² ⇒ h = 400/πx²

Now the total area of the cylinder is:

A(x) = Area of the base + area of the top + lateral area

A(x) = 2*π*x² + 2πx h ⇒ A(x) = 2*π*x² + 2πx (V/πx² )

A(x) = 2*π*x² + 800/x

Taking derivatives:

A´(x) = 4πx - 800/x²

A´(x) = 0 4πx - 800/x² =0 ⇒ πx - 200/x² = 0

( πx³ - 200 )/ x² = 0

πx³ - 200 = 0

x = 4 cm

and h = 400/πx² ⇒ h = 78.6 cm

To know more about volume of cylinder visit

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3 0

8 months ago