Can you help me with this question

Answers

Answer 1

Answer: V = A * h;
V = volume of the building;
h = 35 m ;
A = the area of floor plan;
A = 30 ^2 + π*15^2 - (π*15^2) / 4 => A = 900 + π*675 / 4 ≈
900 + 3.14*675 / 4 ≈ 900 + 529.87 ≈ 1429.87m^2
V ≈ 50045.45 m^3

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Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:y < 4x − 8
y is greater than or equal to negative 5 over 2 times x plus 5

Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area. (6 points)

Part B: Is the point (5, −8) included in the solution area for the system? Justify your answer mathematically. (4 points)

Answers

Answer:

:Part A) The graph in the attached figure (see the explanation)

Part B) The ordered pair is not included in the solution area for the system (see the explanation)

Step-by-step explanation:

Part A) we have

$y<4x-8$ ----> inequality A

The solution of the inequality A is the shaded area below the dashed line $y=4x-8$

The slope of the dashed line is positive

The y-intercept of the dashed line is (0,-8)

The x-intercept of the dashed line is (2,0)

$y\geq -(5)/(2)x+5$ ----> inequality B

The solution of the inequality B is the shaded area above the solid line $y=-(5)/(2)x+5$

The slope of the solid line is negative

The y-intercept of the solid line is (0,5)

The x-intercept of the solid line is (2,0)

The solution of the system of inequalities is the shaded area between the dashed line and the solid line

see the attached figure

Part B) is the point (5, -8) Included in the solution area for the system?

we know that

If a ordered pair is a solution of the system of inequalities, then the ordered pair must satisfy both inequalities

Substitute the value of x=5, y=-8 in each inequality and then analyze the results

Inequality A

$-8<4(5)-8$

$-8<12$ ----> is true

the ordered pair satisfy inequality A

Inequality B

$-8\geq -(5)/(2)(5)+5$

$-8\geq -7.5$ ---> is not true

the ordered pair not satisfy the inequality B

therefore

The ordered pair is not included in the solution area for the system

What is the difference between 2,386 and 7,000? Check your answer using inverse operations.A. 5,614
B. 4,614
C. 9,386
D. 10,386

Answers

The difference between 2,386 and 7,000 is 4614. So, option (B) s correct.

The opposite of an operation is an inverse operation. They are the procedure that undoes the results of another procedure.

For instance, multiplication is the inverse operation of division, and addition is the inverse operation of subtraction.

To calculate the difference between 2386 and 7000.

Subtract 2386 from 7000 as follows:

7000-2386=4614.

To check the answer, we can apply the inverse operation of subtraction, which is addition. So add 4614 to 2386 we get as follows:

4614+2386=7000

Thus, this confirms the difference to be 4614. So, option (B) s correct.

Learn more about the inverse operation, here:

brainly.com/question/13326970

#SPJ6

B. 4,614 because 4,614+2,386=7,000

What is the number 4,305,012 written in expanded notation

Answers

The number in expanded notation is 4,000,000+300,000+5,000+10+2.

Which graph represents a phase shift of pi/2 units right for the graph ofy = COS X?
A. y = csc x
B. y = sin x
C. y = cos(x+pi/2)
D. y = sec x

Answers

Answer is B y = sin x

Answer:

B. y = sin x

Step-by-step explanation:

What is the value of x ; 32x + 53 = 501

Answers

32x + 53 = 501
-53 - 53

32x = 448
32 32

x = 14

32x + 53 = 501

=32x = 501 - 53
=32x = 448
= x = 448/32
= x = 14

If xy = 144, x + y = 30, and x > y, what is the value of x – y ?F. 4
G. 6
H. 18
J. 22
K. 24

Answers

$xy=144\nx+y=30\to x=30-y\n\nsubstitute:\n\n(30-y)y=144\n-y^2+30y-144=0\n\n\Delta=30^2-4\cdot(-1)\cdot(-144)=900-576=324;\ \sqrt\Delta=√(324)=18\n\ny_1=(-30-18)/(2\cdot(-1))=(-48)/(-2)=24;\ y_2=(-30+18)/(2\cdot(-1))=(-12)/(-2)=6\n\nx_1=30-24=6;\ x_2=30-6=24\n\nx > y\ to x=24\ and\ y=6\n\nx-y=24-6=18\n\nAnswer:H.$

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