find the total surface area of this square based pyramid

Answer:

Challenge #1:

Different examples:

2x+1=3x+2

4x+3=5x+4

3x+2=4x+3

Challenge #2:

Different examples:

2x+0=4x+1

3x+1=2x+5

6x+5=8x+6

Answer:

(-2x + 1 = 1x + 1) or (-4x + 2 = 2x + 2)

Step-by-step explanation:

Answer:

H. 50 sq cm

Step-by-step explanation:

Triangle PSU is an equilateral triangle because each side of it is a radius of semicircle TRP. Also, the radius of semicircle TRP is the short side of the rectangle. So, if the total perimeter of the triangle is 15, each side is 5 cm. So, the short side of the rectangle is 5cm and the long side is 5*2 = 10 cm.

5 * 10 = 50 sq cm

Answer:

15, 5, 45, 10

Step-by-step explanation:

2 minutes for 10 photos

1 minute for 5 photos

now:

2×5=10

3×5=15

25÷5=5

9×5=45

50÷5=10

Answer:

196π or 615.75 m^3 to the nearest hundredth.

Step-by-step explanation:

This is a cone, so:

Volume = 1/3 π r^2 h

= 1/3  * π * 14^2 * 3

= 196π m^3.

Answer:

5 * 10^10.

Step-by-step explanation:

(9 * 10^10) - (4 * 10^10) = (9 - 4) * 10^10 = 5 * 10^10.

Hope this helps!

Answer:

5*10^10

Step-by-step explanation:

9 times ten is 9^10, and 4 Times 10^10 is 4^10 so 9^10 minus 4^10 is 50000000000 which is also called 5^10 which is also 5 x 10^10 I think. pls correct me if im wrong

Answer:

For those who achieve a year of sobriety, less than half will relapse. If you can make it to 5 years of sobriety, your chance of relapse is less than 15 percent.

So A

Answer:

2

Step-by-step explanation:

Answer:

A. 1010 FT^3

Step-by-step explanation:

19 x 14.5 x 5 = 1377.5

you need to subtract now, so the only option would be A

Answer:

[tex]1,010 ft^{3}[/tex]

Step-by-step explanation:

You can break the figure into 2 sections; one with the dimensions of 4, 5 and 7; the other with dimensions of 14.5, 5, and 12.

Multiply the first three dimensions (4, 5 and 7) to get 140 ft cubed.

Multiply the last three dimensions (14.5, 5, and 12) to get 870 ft cubed.

Now, just add both volumes together to get 1,010 ft cubed!

Hope that helps and maybe earns a brainliest!

Have a great day! :)

Answer:

50,000,000

Step-by-step explanation:

5 * 10 ^7

The 7 in the exponent means move the decimal 7 places to the right

5.  We need to add 7 zeros

50000000

50,000,000

Answer:

[tex] 6\sqrt{5} units [/tex]

Step-by-step Explanation:

The length of the wall = diagonal AC = distance between point A (-6, -2) and point C (6, 4).

Distance formula between two points on a graph (d) = [tex] \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Where,

[tex] A(-6, -2) = (x_1, y_1) [/tex]

[tex] C(6, 4) = (x_2, y_2) [/tex]

[tex] d = \sqrt{(6 - (-6))^2 + (4 -(-2))^2} [/tex]

[tex] d = \sqrt{(6 + 6)^2 + (4 + 2)^2} [/tex]

[tex] d = \sqrt{(12)^2 + (6)^2} [/tex]

[tex] d = \sqrt{144 + 36} [/tex]

[tex] d = \sqrt{180} [/tex]

[tex] d = \sqrt{36*5} [/tex]

[tex] d = 6\sqrt{5} [/tex]

The length of the wall = [tex] 6\sqrt{5} units [/tex]

Answer: The answer is c

Step-by-step explanation:

Answer:

22 years

Step-by-step explanation:

Well we know the formula for simple interest is

I = PRT

I = interest earned

P = initial balance

R = rate

T = time

We want to solve for time here....so rearrange for T

T= I/(PR )

We have

P = 825

R = .057

And I = current balance - initial balance = 1859.55 - 825 = 1034.55

So plugging all those in we have

T = 1034.55/(825×.057 )

T = 1034.55/47.025

T = 22

It was held for 22 years.

Answer:

  13.4 meters

Step-by-step explanation:

About the diagram

Attached is a diagram of the problem. The directions North and East are shown so that the usual clockwise from +x measurement of angles will correspond to the bearing angles given in the problem. That is, the bearing of 120° is an angle of 120° measured from North toward East. (The mirroring across the line y=x can be a little mind-bending, but it is isomorphic, so all angles and lengths remain unchanged.)

The other feature of this diagram is the projection of the 3-D problem into two dimensions. Effectively, the center angle rabbit-O-coyote represents a plan view (in the plane of the ground), and the triangles coyote-O-C1 and rabbit-O-R1 represent side views (views in the vertical plane).

The side views let us work out the ground distances O-rabbit and O-coyote, so that we can find the ground distance rabbit-coyote as the problem requests.

__

Problem solution

The distance from the tree (O) to the rabbit is the "adjacent" leg of the 30° angle of elevation from the rabbit to the tree top. The 10 m tree height is the "opposite" leg of that rabbit-O-R1 right triangle. We know the ratio of opposite to adjacent sides gives the tangent of the angle, so we have ...

  tan(30°) = 10/(rabbit distance from tree)

Solving for the rabbit distance, we get

  rabbit distance = 10/tan(30°) ≈ 17.3205 m

Similarly, the coyote distance from the tree will be ...

  coyote distance = 10/tan(20°) ≈ 27.4748 m

__

These are two legs of the rabbit-O-coyote triangle. The angle at O between the rabbit and coyote is 120° -97° = 23°. These values are sufficient to let us use the Law of Cosines to find the distance d from rabbit to coyote:

  d² = r² +c² -2rc·cos(23°)

  d² = 17.3205² +27.4748² -2·17.3205·27.4748·cos(23°) ≈ 178.769

  d ≈ √178.769 ≈ 13.37 . . . . meters

The distance from the rabbit to the coyote is about 13.4 meters.

_____

Additional comment

Note that the angle of depression to the rabbit from the horizontal is the same as the angle of elevation from the rabbit. This lets us draw the diagram without a bunch of extra lines.

=================================================

Explanation:

Since the x coordinates are the same, we can subtract the y coordinates to get

1.5 - (-3.5) = 1.5 + 3.5 = 5

Note how subtracting a negative is the same as adding.

-------

We can subtract in the other order

-3.5 - 1.5 = -5

but we need to make this result positive. A negative distance is not allowed. Absolute value is applied to make the result positive

|-5| = 5

Answer:

Step-by-step explanation:

Using Pythagoras Theorem, hypotenuse = 5

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

[tex]h = \sqrt{9+16 }\ = \sqrt{25}\ = 5[/tex]

sin x = height / hypotenuse = 3 / 5

cos y = base / hypotenuse = 3 / 5

sin x = cos y = 3 / 5

Answer:

32 miles/4 hours.

Step-by-step explanation:

Answer:

x = 77/15 or  5 2/15

Step-by-step explanation:

x/7 = 11/15

Multiply each side by 7

x/7 *7 = 11/15 *7

x = 77/15

We can leave as an improper fraction or change to a mixed number

15 goes into 77  5 times with 2 left over

5 2/15

━━━━━━━☆☆━━━━━━━

▹ Answer

x = 77/15, 5 2/15, or 5.13

▹ Step-by-Step Explanation

x ÷ 7 = 11 ÷ 15

15x = 77

Divide both sides by 15:

x = 77/15, 5 2/15, or 5.13

Hope this helps!

CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

[tex]y=-3x+7[/tex]

Step-by-step explanation:

This is asking you to provide the equation is slope-intercept form:

[tex]y=mx+b[/tex]

In this equation, m is the slope of the line and b is the y-intercept (where the x value is 0).

By looking at the graph, we can find the y-intercept:

[tex]y-intercept=7\\\\m=7[/tex]

To find the slope of the line, you can count how many spaces it takes to go from one point to another. To do this, it's best to find an even point (1,4) and make your way to (0,7).

The slope is represented by [tex]\frac{rise}{run}[/tex] , where the rise is the change in the y-axis and the run is the change in the x-axis.

From (1,4) , move up (rise) as many spaces as it takes to get to the y-axis level of "7", which is 3 spaces. From  here, move to the left (run) as many spaces as it takes to get to the x-axis level of "0", which is 1 space. Since you moved to the left, however, this means that the number will be a negative:

[tex]\frac{rise}{run}=\frac{3}{-1}=-\frac{3}{1}=-3[/tex]

The slope is -3.

Insert the information into the equation:

[tex]y=-3x+7[/tex]

:Done

Answer:

the desired equation is y = -3x + 7

Step-by-step explanation:

The y-intercept can be read directly from the graph:  (0, 7).  

Another point on the graph is (2, 1).

As we move from (0, 7) to (2, 1), we see x (the run) increasing by 2 and y (the rise) decreasing by 6.  Thus the slope of this line is m = rise/run = -6/2, or -3.

Start with the slope-intercept form of the equation of a straight line, which is y = mx + b.

Then 1 = (-3)(2) + b; find b:

1 = -6 + b, or b = 7

Then the desired equation is y = -3x + 7.

I'll do the first two to get you started

===============================================

Problem 1

A = 3 = starting value

B = 10 = ending value

C = percent change

C = [ (B - A)/A ] * 100%

C = [ (10-3)/3 ] * 100%

C = (7/3) * 100%

C = 2.3333333 * 100%

C = 233.33333%

C = 233.3%

The positive C value means we have a percent increase. If C was negative, then we'd have a percent decrease.

===============================================

Problem 2

A = 9 = start value

B = 20 = end value

C = percent change

C = [ (B - A)/A ] * 100%

C = [ (20-9)/9 ] * 100%

C = (11/9)*100%

C = 1.2222222222*100%

C = 122.22222222%

C = 122.2%

Answer:

x = 80

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

25+x = 105

Subtract 25 from each side

25+x-25 = 105-25

x = 80

Answer: 80/1000 • 20

Answer:

Screenshots attached! Hope it helps :)

Answer:

31 Pikachu bags were sold.

19 peanut bags were sold.

Step-by-step explanation:

Let's set up an equation of the total revenue of the day, where x is the number of Pikachu's sold.

We know that the number of Peanuts sold is 50-x (as the total needs to be 50)

We know that the total revenue is:

Number of Pikachus * Cost per Pikachus + Number of Peanuts * Cost per Peanuts

Using our definitions above:

Total Revenue = x * $3.68 + (50-x) * $0.76

We know that the revenue needs to be $128.52.

$128.52 = x * $3.68 + (50-x) * $0.76

Let's remove the $ signs.

128.52 = x * 3.68 + (50-x) * 0.76

Multiplying both 50 and -x with 0.76, "expanding" the parenthesis.

128.52 = x*3.68 + 50*0.76 - x*0.76

128.52 = x*3.68 + 38 - 0.76*x

Subtracting 38 from both sides

90.52 = 3.68*x - 0.76*x

We can simplify the right side.

90.52 = 2.92*x

We can divide both sides by 2.92:

31 = x

And flip it:

x = 31

So 31 Pikachus were sold (remember we claled that x), and as we know, the number of peanut bags sold is

50-x = 50-31 = 19

31 Pikachu bags were sold.

19 peanut bags were sold.

[tex] \LARGE{ \boxed{ \rm{ \pink{Solution:}}}}[/tex]

Let the number of peanut bags be x

Then, Number of pikachu bags = 50 - x

Given,

Then,

⇛ Total cost he gets from peanut bag = $0.76 × x

⇛ Total cost he gets from pikachu bag = $3.68(50 - x)

According to question,

⇛ $0.76x+ $3.68(50 - x) = $128.52

Solving this equation,

⇛ 0.76x + 184 - 3.68x = 128.52 (Removed $ symbol)

⇛ 184 - 2.92x = 128.52

⇛ 184 - 128.52 = 2.92x

⇛ 55.48 = 2.92x

Flipping the equation,

⇛ 2.92x = 55.48

⇛ x = 55.48 / 2.92

⇛ x = 19

Then,

⇛ 50 - x = 50 - 19 = 31

[tex] \large{ \therefore{ \boxed{ \rm{ \purple{No. \: of \: peanut \: bags = 19}}}}}[/tex]

[tex] \large{ \therefore{ \boxed{ \rm{ \purple{No. \: of \: pikachu \: bags = 31}}}}}[/tex]

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Answer:

The volume will be 8 times larger.

Step-by-step explanation:

Volume is cubed which means the volume will be multiplied by 2³ is a scale factor of 2 is applied to the dimensions. 2³ = 8

The volume will be 8 times larger if the scale factor of 2 is applied to the dimensions of the prism option (C) the volume will be 8 times larger is correct.

It is defined as a three-dimensional space enclosed by an object or thing.

We have a three-dimensional figure shown in the picture.

The scale factor = 3

As we know, the volume can be found:

Volume = length×width×height

Let the volume of the figure is A

Volume = A cubic in

If the scale factor is applied to the dimensions of the prism:

The volume:

Volume =  (2)length×(2)width×(2)height

Volume = 2³(length×width×height)

Volume = 8A

Thus, the volume will be 8 times larger if the scale factor of 2 is applied to the dimensions of the prism option (C) the volume will be 8 times larger is correct.

Learn more about the volume here:

https://brainly.com/question/16788902

#SPJ5

Answer:

A number line from negative 1.5 to 1.5 in increments of 0.5. A point is at 0.5 and a bold line starts at negative 0.5 and is pointing to the left.

Step-by-step explanation:

Required

[tex]2x - 6 \geq 6(x - 2) + 8[/tex]

Required

Determine the number line

[tex]2x - 6 \geq 6(x - 2) + 8[/tex]

Open the bracket

[tex]2x - 6 \geq 6*x - 6*2 + 8[/tex]

[tex]2x - 6 \geq 6x - 12 + 8[/tex]

[tex]2x - 6 \geq 6x - 4[/tex]

Collect Like Terms

[tex]2x - 6x \geq 6 - 4[/tex]

[tex]- 4x \geq 2[/tex]

Divide both sides by -4

[tex]\frac{- 4x}{-4} \geq \frac{2}{-4}[/tex]

[tex]x \leq -0.5[/tex]

From the list of given options, the correct answer is option C

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

There is a graph from minus infinity to y = -6.

The range is (-infinity, -6).  

The domain of the graphed function is (-∞, 8] and the range of the graphed function is (-∞, -6].

The domain means all the possible values of x and the range means all the possible values of y.

The function is shown.

The domain of the graphed function will be given by observing the graph.

Then the domain will be (-∞, 8].

And the range of the graphed function will be given by observing the graph.

Then the range of the graphed function will be (-∞, -6].

Thus, the domain of the graphed function is (-∞, 8] and the range of the graphed function is (-∞, -6].

More about the domain and range link is given below.

https://brainly.com/question/12208715

#SPJ2

Answer:5,3,7

2,4,9

3,6,4

Step-by-step explanation:he determinant of a 2 x 2 matrix A,

EVALUATING A 2 X 2 DETERMINANT,

DETERMINANT OF A 3 X 3 MATRIXFINDING THE DETERMINANT OF' A MATRIX,

FINDING THE COFACTOR OF AN ELEMENT,                                          ,EVALUATING A 3 X 3 DETERMINAN,

EVALUATING A 4 X 4 DETERMINANT

voila

Answer: The answer is 15. You can use the calculator in Edge2020

Step-by-step explanation:

Edg2020

Answer:

VW=35

YZ=50

Step-by-step explanation:

As they are similar triangles with a ratio of 1:2 and we know VW:XZ=1:2, we can make the equation:

2(4y+7)=12y-14

8y+14=12y-14

4y=28

y=7

So, VW=4(7)+7=35.

Similarly, you can find YZ through VT:

2(7x-17)=8x+2

14x-34=8x+2

6x=36

x=6

Therefore, YZ=8(6)+2=50.

Answer:

A. 0

Step-by-step explanation:

In order for there to be a 1 in 3 chance, there would have to be an equal number of the three chalices.  Since four is the smallest number, the other two must have four left as well.  That means Donavan drank 1 spoiled milk and 2 flat sodas.  Therefore, he drank 0 purified water.