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2 years ago

6. Select the number of solutions for each system of two linear equations.

Mathematics

1 answer:

harkovskaia [24]2 years ago

3 0

Answer:

0 , 1 or infinitely many solutions

Step-by-step explanation:

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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

A cone has a diameter of 8ft and height of 3ft. What’s the volume?

stepladder [879]

Step-by-step explanation:

1/3 πr²h

Given

diameter (d) = 8ft

radius (r) = d/2 = 8/2 = 4 ft

height (h) = 3 ft

Volume of cone

$\frac{1}{3} \times \pi {r}^{2} h$

$\frac{1}{3} \times 3.14 \times {4}^{2} \times 3$

$\frac{150.72}{3}$

=50.24 ft³

7 0

2 years ago

Read 2 more answers

25(3+x)+10x5 what is an equivalent expression

gogolik [260]

10x^5+25x+75 that will be your answer

4 0

3 years ago

This 7-digit number is 8,920,000 when rounded to the nearest ten thousand. the digits to the tens and hundreds places are the le

Aliun [14]

The 7-digit number we are looking for is 8,92a,bcd

"The value of the thousands digit is double that of the ten thousands digit."

The value of the ten thousands digit is 2. Thus the value of the thousands digit is 4.

The 7-digit number we are looking for is 8,924,bcd

"The sum of all its digits is 24."

8+9+2+4+b+c+d = 23 + b+ c+ d

Thus b+c+d = 1

The digits to the tens and hundreds places are the least and same value.

These two digits (b and c) must be 0, because b+c+d = 1

That means that the digit "d" must be equal to 1.

The 7-digit number we are looking for is 8,924,001

This number is the only number that satisfies all the conditions stated in the question.

3 0

3 years ago

How do you get the answer for .0003 is 1/10 of?

Hitman42 [59]

0.0003 would be 1/10 of 0.00003. If you divided 0.00003 by 10 you would get 0.0003. In fraction form it is 3/10,000

Hoped this helped.

5 0

3 years ago