What is the total surface area of the square pyramid below?

A square pyramid. The square base has side lengths of 6 meters. The triangular sides have a height of 8 meters.

132 m2
144 m2
160 m2
228 m2

Answer:

You sold 6 cherry pies and 14 apple pies.

Step-by-step explanation:

It's a system of equations problem.

12C + 9A = 198

A + C = 20

A = 20 - C

12C + 9(20 - C) = 198

12C + 180 - 9C = 198

3C + 180 = 198

3C = 18

C = 6

A + 6 = 20

A = 14

Answer:

Cherry Pie=$12 per 1

Apple pie= $9 per 1

Let x represent number of Cherry Pies sold.

let y represent number of Apple pie sold

x + y = 20---------------1

12x + 9y = 198---------2

From eqn 1

x=20-y

Substitute into eqn 2

12x + 9y = 198

12(20-y) + 9y=198

240 - 12y + 9y = 198

240 - 3y =198

3y = 240 - 198

3y=42

y=14.

x + y =20

x + 14=20

x=20-14

x=6.

So...

Its means that I SOLD 6 CHERRY PIES AND 14 APPLE PIES

Answer:

p=1, 2, 3

Step-by-step explanation:

p(4-1)<13

p3<13

p<13/4

p<3.25

p=1, 2, 3

Answer:

4

Step-by-step explanation:

3+7+2

12

12/3

4

Answer:

The formula for circumfernce is C=pixd D is diameter

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

y - 3 = 5(x - 2)

y - 3 = 5x - 10    Add 3 to both sides

y = 5x - 7

Let x = 2

y = 5*2 - 7

y = 3

So (2,3) works

Let x = 3

y = 5*3 - 7

y = 15 -7

y = 8

The answer is A

Answer:

The mentioned number in the exercise is:

Step-by-step explanation:

To obtain the mentioned number in the exercise, first you must write the equations you can obtain with it.

If:

We can write:

Taking into account these data, we can use the third equation and replace it to obtain the number and the value of each digit:

Now, we know z (the ones digit) is 2, we can use the first equation to obtain the value of x:

And we'll use the second equation to obtain the value of y (the tens digit):

Organizing the digits, we obtain the number:

As you can see, the obtained number is 362.

Answer:  [tex]\dfrac{6}{8}[/tex]

Step-by-step explanation:

Given

There are 6 Programmers and 8 Analysts working on a team at CIA.

Ratio of Programmers to analysts is

[tex]\Rightarrow \dfrac{6}{8}[/tex]

Un-simplified ratio is [tex]\dfrac{6}{8}[/tex]

Simplified ratio is [tex]\dfrac{3}{4}[/tex]

Answer:

X= - 3

Step-by-step explanation:

Multiply both sides by 2 to remove the division on the LHS

3X - 15=8X

Move 3X to the RHS

-15 =8X - 3X

-15= 5X

Divide both sides by 5

-3 =X

[tex]\boxed{c.\:x\:=\:-3}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] \frac{3x - 15}{2} = 4x \\ ⇢ 3x - 15 = 4x \times 2 \\ ⇢ 3x - 15 = 8x \\ ⇢ 3x - 8x = 15 \\ ⇢  - 5x = 15 \\ ⇢ x = \frac{15}{ - 5} \\ ⇢ x = - 3[/tex]

[tex]{ \bf{ \underbrace{To\:verify :}}}[/tex]

[tex] \frac{3x - 15}{2} = 4x \\ ⇢  \frac{3 \times (- 3) - 15 }{2} = 4 \times - 3 \\ ⇢  \frac{ - 9 - 15}{2} = - 12 \\ ⇢  \frac{ - 24}{2} = - 12 \\ ⇢  - 12 = - 12 \\ ⇢ L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Answer:

8 meters per second

Step-by-step explanation:

We can divide meters by seconds to get his average speed in meters per second. -- 640 m / 80s = 8 m/sec (meters per second). We can also figure out his average speed in minutes by multiplying 8 by 60 (because there are 60 seconds in a minute), 8 * 60 = 480 m/min (meters per minute).

Answer:

8m/s

Step-by-step explanation:

Speed is equal the distance upon time.

640/80

so speed is equal to 8m/s

Answer:

80miles

Step-by-step explanation:

400=L

L[tex]\sqrt{400[/tex]

=20

to find p

4L

4(20=80

Answer:

-2.5

Step-by-step explanation:

28 - f = 30.5

-f = 30.5-28

-f=2.5

f=-2.5

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{28 - f =30.5}[/tex]

[tex]\large\textsf{Or you can say: \textsf{-f + 28 = 30.5}}[/tex]

[tex]\rm{SUBTRACT\ 28\ to\ BOTH\ SIDES}[/tex]

[tex]\mathsf{-f + 28 - 28 = 30.5 - 28}[/tex]

[tex]\rm{CANCEL\ out: 28 - 28\ because\ that\ gives\ you\ 0}[/tex]

[tex]\rm{KEEP: 30.5 - 28\ because\ that\ helps\ solve\ for\ your\ f-value}[/tex]

[tex]\mathsf{30.5-28=\bf 2.5}[/tex]

[tex]\rm{New\ EQUATION: -f = 2.5}[/tex]

[tex]\textsf{When we have a variable by itself, it is usually understood as an invisible 1 }[/tex]

[tex]\rm{DIVIDE\ -1\ to\ BOTH\ SIDES}[/tex]

[tex]\mathsf{\dfrac{-f}{-1}=\dfrac{2.5}{-1}}[/tex]

[tex]\rm{CANCEL\ out: \dfrac{-1}{-1}\ because\ that\ gives\ you\ 1}[/tex]

[tex]\rm{KEEP: \dfrac{2.5}{-1}\ because\ it\ gives\ you\ the\ f-value\ result}[/tex]

[tex]\mathsf{f =\dfrac{2.5}{-1}}\\\\\large\text{or you can say}\downarrow\\\\\mathsf{2.5\div -1=\bf f}[/tex]

[tex]\uparrow\textsf{SIMPLIFY ABOVE AND YOU WILL HAVE YOUR RESULT OF \bf F}\uparrow[/tex]

[tex]\boxed{\boxed{\large\text{Amswer: \huge \bf f = -2.5}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:3

Step-by-step explanation:

Nor except

Answer:

x=28

Step-by-step explanation:

[tex]\huge\bold{To\:find:}[/tex]

✎ The value of [tex]x[/tex].

[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]

[tex]\sf\purple{The\:value\:of\:x\:is\:28°. }[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

Since it is right-angle,

[tex]Sum \: of \: angles \: = 90° \\ ⇢ (2x + 1) + 33 ° = 90° \\ ⇢2x + 34° = 90° \\ ⇢2x = 90° - 34° \\⇢ 2x = 56° \\⇢ x = \frac{56° }{2} \\ ⇢x = 28° [/tex]

[tex]\sf\blue{Therefore,\:the\:value\:of\:x\:is\:28°.}[/tex]

[tex]\huge\bold{To\:verify :}[/tex]

[tex](2x + 1) + 33° = 90° \\ ➡ \: 2 \times 28° + 1 + 33° = 90° \\ ➡ \: 56° + 34° = 90° \\ ➡ \: 90° = 90° \\ ➡ \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

4.

Step-by-step explanation:

Answer:

Evolution is the changes in organisms over ____millions of years_____

1: a month

2: tens of years

3: thousands of years

4: millions of years

Answer:

The triangles shown are proportional

Step-by-step explanation:

Two parallel lines are cut by a tranversal so the opposite and corresponding angles are congruent.

B = N

M = M

12 x 2 = 24 , So the sides of the triangle are proportional meaning they are parallel.

Side MN would be 12

Side MP would be 16

Answer:

y = 3/4x + 2

Step-by-step explanation:

By looking at the graph, we can easily see that the y-intercept (where the line passes through y) is 2. In the equation y = mx + b. B is the y-intercept. So at the moment, we have, y = mx + 2. Now to find the slope which will take place over "m" all we need is the rise over run. To get this we will look at the points provided, count up the amount to get to the next point above then count to left/right to the point. For this we count up 3 points and 4 points to the right. So we finally get y = 3/4x + 2.

(3/4 = 0.75 if decimal is needed)

Answer:

2.44%

Step-by-step explanation:

[tex]\frac{22}{900} *100%[/tex]= 2.44%

Answer:

1. 128

2. 136

3. 128

4. 52

5. 44

6. 136

7. 84

8. 96

9. 96

10. 84

11. 128

12. 52

13. 44

14. 136

15. 52

16. 128

17. 136

18. 44

Answer:

11,25

Step-by-step explanation:

Answer:

i think the answer is B

Step-by-step explanation:

5=6-1

5=5

just need to get the equations equal together then solve for x which will give u the x-coordinate of intersection then u need to put it in which equation u want to find the y-coordinate of intersection point :

2x + 1 = 3x - 1

Add both sides 1

2x + 1 + 1 = 3x - 1 + 1

2x + 2 = 3x

Subtract both sides 2x

2x - 2x + 2 = 3x - 2x

x = 2

( This is the x-coordinate of intersection point )

_________________________________

Now to find the y-coordinate of the intersection point we have to put the value of x we found in of the equations :

y = 2x + 1

y = 2(2) + 1

y = 4 + 1

y = 5

_________________________________

Thus :

intersection point = ( 2 , 5 )

So the correct answer is option B .

Given:

A synthetic division problem.

To find:

The missing number it in the given synthetic division problem.

Solution:

The given synthetic division problem is:

[tex]3|\overline{3\quad -2\quad 2\quad 4}\\[/tex]

           [tex]\quad 6\quad 8\quad 20\\[/tex]

     [tex]\overline{3\quad 4\quad ?\quad 24}[/tex]

In synthetic division, we need to add first and second row to get the bottom row.

[tex]3+0=3[/tex]

[tex]-2+6=4[/tex]

[tex]4+20=24[/tex]

Similarly,

[tex]2+8=10[/tex]

Therefore, the missing value in the given synthetic problem is 10. Hence, the correct option is C.

Answer:

(6, 12)

Step-by-step explanation:

{ 3x - y = 6

{ x - 2y = -18

by using elimination:

6x -2y=12

x - 2y= -18

________-

5x = 30

x = 6

y = 18-6 = 12

the solutions = {(6, 12)}

Answer:

1. 1/2

2. .5

3. 50%

Step-by-step explanation:

2 of the types of cards out of 4 is 2/4 which is half

Answer:

1/2 or unsimplified: 26/52

.5

50%

Step-by-step explanation:

half of the cards are a diamond or club so the probability is one out of 2 which is one half

1/2 equals .5

then a 50% chance because 50% is half of 100%