1. What is the surface area of the composite figure? Show ALL your work.
2. What is the volume of the composite figure? Show ALL your work.

9514 1404 393

Answer:

  True

Step-by-step explanation:

It is the sum of numbers having a common difference. The fact that it is a sum makes it a series (as opposed to a sequence, which is just a list of numbers). The common difference (of 2.5) makes it an arithmetic series.

True, the sum is an arithmetic series.

Answer:

x=-4

Step-by-step explanation:

The two lines are parallel, so the two angles, 45 and x+49 are equal too

Lets make the equation

x+49 = 45

x = 45-49

x = -4

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

the answer is 500ml

Step-by-step explanation:

1500/3=500

Answer:

10 in

Step-by-step explanation:

Answer:

Your answer is c

Step-by-step explanation:

the two inequalities are x =< 1 and x =>2 which is shown by the number line in option c

Here the picture, :D

The magnitude of the complex number -5 + 12i is 13 which we obtained by using formula, Magnitude [tex]= \sqrt{ a^2 + b^2}[/tex].

To find the magnitude of a complex number in the form of a+bi, where a and b are real numbers, the formula can be used is:

Magnitude = |a+bi|

[tex]= \sqrt{ a^2 + b^2}[/tex]

The  given complex number is -5 + 12i.

we have a = -5 and b = 12.

Plugging these values into the formula, we get:

Magnitude = | -5 + 12i |

[tex]= \sqrt{ (-5)^2 + 12^2}[/tex]

[tex]= \sqrt{ 25 + 144}[/tex]

[tex]= \sqrt{ 169}[/tex]

= 13

Therefore, the magnitude of -5 + 12i is 13.

To learn more on Complex numbers click here:

https://brainly.com/question/20566728

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Answer:

1. C

2. D

Step-by-step explanation:

1. first find the slope by using the formula (y2-y1)/(x2-x1). We need to find the equation for CE so use points C (0, 1) and E (5, 5). (5-1)/(5-0) = 4/5, which is the slope. from there u can tell that the answer is the third choice, which let's say is C, because the y intercept of the line is 1.

2. Do the same thing except with points A (-5, 1) and D (0, 6). (6-1)/(0-(-5)) = 1

The y intercept is 6 because that is where the line intersects the y axis, or where x is 0.

so the equation is y=x+6, which is just the last option, let's say D, but just rearranged

321,300,0

Multiply 20x17x15x18x35

20×17= 340

5×18= 90

340+90= 430

answer 430 km

i hope this helps ^^

Answer: 23.25m

Step-by-step explanation:

C=2πr=2·π·3.7≈23.24779m

Answer:

Step-by-step explanation:

https://www.alvinisd.net/cms/lib/TX01001897/Centricity/Domain/436/Math%201314.61%20Quiz%20Solutions.pdf it will give u the answer trust me

Answer:

I'm pretty sure that the answer is 1.97

[tex] \frac{11}{13} + \frac{44}{39} [/tex]

11/13 ×3

11×3=33

13×3=39

11/13=33/39

33/39+44/39

= 77/39

77÷39

=

[tex]1 \frac{38}{39} [/tex]

Answer:

Infinite solutions

Step-by-step explanation:

A linear equation is given to us and we need to tell the no. of solutions. The equation is ,

=> -2-5x = - ( 5x +2)

If we look at RHS , negative sign is present outside the brackets .On opening the brackets , we have ,

=> -(5x) -(+2)

=> -5x -2

=> -2 - 5x

This is similar to LHS and hence they will represent same line . Hence they will have infinitely many solutions .

Answer:

7

,

14

,

1

Step-by-step explanation:

Answer:

33,44,55,66,77,88

Hope this helps!!!!!!!

Answer:

Step-by-step explanation:

Answer:

Time and a half pay is 50% more than an employee's regular rate of pay. For every hour of overtime an employee works, you must give them their regular rate of pay plus half of that. To calculate an employee's overtime rate of pay, multiply their regular rate by 1.5.

Step-by-step explanation:

Answer:

Rate in still water = 48 mph.

Rate of current = 14 mph.

Step-by-step explanation:

Let the rate in still water be x and rate of the current be y miles per hour.

Upstream:

x - y = 102/3

Downstream:

x + y = 186/3

Adding the 2 equations

2x = 102/3 + 186/3 = 34 + 62

2x = 96

x = 48 mph.

So 48 - y = 34

y = 48 - 34 = 14 mph.

Answer: 1200

Step-by-step explanation:

80% × x = 960

or,

80

100

× x = 960

Multiplying both sides by 100 and dividing both sides by 80,

we have x = 960 ×

100

80

x = 1200

Answer:

Answer: 1200 eeeeeeeee

Answer:

4/10

Step-by-step explanation:

2/5 times 2/2

Make sure To multiply with the SAME denominators and numerators.

I hope this helps!!

Answer:

6/15

Step-by-step explanation:

2/ 5 x 3/3 = 6/15

Note that to find equalivalent fractions multiply “BOTH” the numerator and the denominator

Answer:

729

Step-by-step explanation:

x^2*x^1 = (9)^2 * (9)^1

            = (9)^3

            = 729

Answer:

The Y-axis intercept is 2

Step-by-step explanation:

Answer:

The y-intercept is 2

Step-by-step explanation:

Given: 3y=2x+6

Convert to y=mx+b form: y=2/3x+2

Therefore, the y-intercept is 2.

Answer:

OMG

Step-by-step explanation:

I had the same question

Answer:

$10.79

Step-by-step explanation:

x =  original cost of one t shirt

We can build this equation

x - (20/100) x + 3x- 5 = 36

-1/5x + 4x = 41

-x + 20x = 205

19x  = 205

x = $10.79

Answer:

Answer:

Length = 22.98 feet

Width = 9.66 feet

Step-by-step explanation:

Let the length of the rectangle be L.

Let the width of the rectangle be W.

Given the following data;

Area of rectangle = 222 feet²

Translating the word problem into an algebraic expression, we have;

L = 3W - 6 ...... equation 1

We know that the area of a rectangle is given by the formula;

A = L * W

Substituting

222 = L * W ....equation 2

Substituting eqn 1 into eqn 2, we have;

222 = (3W - 6) * W

222 = 3W² - 6W

Rearranging the equation, we have;

3W² - 6W - 222 = 0

Next, we would use the quadratic formula to solve for the roots.

Note: the standard form of a quadratic equation is ax² + bx + c = 0

a = 3, b = -6 and c = -222

Solving the quadratic equation using the quadratic formula;

The quadratic equation formula is;

[tex] x = \frac {-b \; \pm \sqrt {b^{2} - 4ac}}{2a} [/tex]

Substituting into the equation, we have;

[tex] x = \frac {-(-6) \; \pm \sqrt {6^{2} - 4*3*(-222)}}{2*3} [/tex]

[tex] x = \frac {6 \pm \sqrt {36 - (-2664)}}{6} [/tex]

[tex] x = \frac {6 \pm \sqrt {36 + 2664}}{6} [/tex]

[tex] x = \frac {6 \pm \sqrt {2700}}{6} [/tex]

[tex] x = \frac {6 \pm 51.96}{6} [/tex]

[tex] x_{1} = \frac {6 + 51.96}{6} [/tex]

[tex] x_{1} = \frac {57.96}{6} [/tex]

x1 = 9.66

We do not need the negative value of x, so we proceed.

Therefore, Width, W = x1 = 9.66 feet

For the length;

L = 3W - 6

L = 3(9.66) - 6

L = 28.98 - 6

L = 22.98 feet

Step-by-step explanation:

[tex] \tan(60 \degree) = \frac{opposite}{3} \\ opposite = 3 \tan(60 \degree) \\ = 3 \sqrt{3} [/tex]