MATHEMATICS HIGH SCHOOL

Angle E has what measurement according to the protractor?

Answers

Answer 1

Answer:

Answer:

Angle E has $120\°$

Step-by-step explanation:

we know that

Observing the figure, according to the protractor

Angle B has $30\°$

Angle C has $50\°$

Angle D has $90\°$

Angle E has $120\°$

Angle F has $140\°$

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Which graph represents the solution set of the system of inequalities?

Answers

Answer:

D (right-down graph)

Step-by-step explanation:

y = ax+b - linear function,

a>0 - ascending

a<0 - descending

$y=\frac13x-3$ - ascending function, because $a=\frac13$ , so a>0

$y=-3x-3$ - descending function, cause $a=-3$ , so a<0

We refuse both graphs on the left side, these are two ascending functions

$y\ge\frac13x-3$ is the area above the ascending function $y=\frac13x-3$

$y<-3x-3$ is the area below the descending function

This causes that D (right-down graph) is a correct answer

What is the distance in space between the points with coordinates (-3,6,7) and (2,-1,4) ?

Answers

$A(-3;\ 6;\ 7);\ B(2;-1;\ 4)\n\n|AB|=√((2-(-3))^2+(-1-6)^2+(4-7)^2)\n\n=√(5^2+(-7)^2+(-3)^2)=√(25+49+9)=√(83)$

Find the volume of the solid generated by revolving the regionbounded by y=2(square root of sinx), y=0, and x(sub1)=pi/3,
x(sub2)=5pi/6 about the x axis. Round to the nearest
hundreth.

Answers

Answer:

Step-by-step explanation:

To find the volume of the solid generated by revolving the given region about the x-axis, we can use the method of cylindrical shells.

The region is bounded by the curves y=2sin⁡xy=2sinx

, y=0y=0, x=π3x=3π, and x=5π6x=65π.

The volume of the solid can be calculated using the formula:

V=2π∫abx⋅f(x) dxV=2π∫abx⋅f(x)dx

Where aa and bb are the bounds of integration (in this case, π33π and 5π665π), and f(x)f(x) is the height of the shell, which is given by f(x)=2sin⁡xf(x)=2sinx

So, the volume can be calculated as:

V=2π∫π35π6x⋅2sin⁡x dxV=2π∫3π65πx⋅2sinx

Before proceeding, let's simplify the integral by rearranging it:

V=4π∫π35π6xsin⁡x dxV=4π∫3π65πxsinx

Now, use calculus techniques to evaluate this integral. Unfortunately, this integral does not have a simple closed-form solution. You'll likely need to use numerical integration methods or appropriate software to compute the value of the integral.

Once you've computed the integral, you'll have the volume of the solid generated by revolving the given region about the x-axis. Be sure to round the result to the nearest hundredth as requested.

The perimeter of a parallelogram is 50inches. If the length of one side is 15

inches, what is the length of a side adjacent to it?

Answers

Given:
Perimeter of parallelogram = 50 inches
Length of one side is 15 inches

Find the length of the adjacent side.

Parallelograms have 4 sides and its measures of opposite sides are equal.

Perimeter = 2a + 2b
where:
a are opposite sides of equal measure
b are opposite sides of equal measure

50 inches = 2(15 inches)
50 inches = 30 inches + 2b
50 inches - 30 inches = 2b
20 inches = 2b
20 inches / 2 = b
10 inches = b

The length of the adjacent side is 10 inches.

After excavating a lot, workers removed an estimated 7,000 cubic yards of dirt from the area. If this dirt were spread in an even layer over an empty lot with dimensions 30 yards by 64 yards, about how deep, in yards, would the layer of dirt be? Can you help me with this?

Answers

$V=7,000\ yd^3\ \ \ and\ \ \ V=30\ yd\ \cdot64\ yd\ \cdot x\n \n30\cdot64\cdot x=7,000\ /:(30\cdot64)\n \nx= (7\cdot25\cdot4\cdot10)/(3\cdot10\cdot16\cdot4) \n \nx= (7\cdot25)/(3\cdot16) \n \nx= (175)/(48)\ [yd] \ \ \ and\ \ \ 1\ yd=36\ in\n \n(175)/(48)\ yd =(175)/(48)\cdot 36\ in= (175\cdot3)/(4)\ in=131.25\ in$

Please!! help me this is due today i will make you BRAINLIEST

Answers

Answer: 37 is the median

Step-by-step explanation:

Answer:

Step-by-step explanation:

The middle of the box plot isn't 35 and it isn't 40. It's in the middle, so the best option is 37.

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