Mathematics High School

What is the surface area of the regular pyramid below? 19 16 16

A. 864 units²
B. 856 units²
C. 756 units²
D. 952 units²​

What Is The Surface Area Of The Regular Pyramid Below? 19 16 16A. 864 UnitsB. 856 UnitsC. 756 UnitsD.

Answers

Answer 1

Answer:

A. 864 units²

Step-by-step explanation:

(16×16)+(4×½×16×19)

= 256 + 608

= 864

Answer 2

The surface area of the regular pyramid is S = 864 units²

What is the surface area of the pyramid?

The total surface area is the summation of the areas of the base and the three other sides. A = B + ( 1/2 ) ( P x h ), where B is the area of the base of the pyramid, P is the perimeter of the base, and h is the slant height of the pyramid

Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

Given data ,

Let the surface area of the pyramid be S

Now , let the base area of the pyramid be B

where the side length of the pyramid is a = 16 units

So , B = 16² units² = 256 units²

And , let the height of the pyramid be h = 19 units

And , the perimeter of the pyramid P = 4 x 16 = 64 units

So , Surface Area of Pyramid = B + ( 1/2 ) ( P x h )

On simplifying , we get

S = 256 + ( 1/2 ) ( 64 x 19 )

S = 256 + 608

S = 864 units²

Hence , the surface area is 864 units²

To learn more about surface area of pyramid click :

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Related Questions

first 5 terms in a number sequence

0.5 1 2 4 8

A) write down the term to term rule

b) 7th term of sequence

c) why cant 1527 be a term of the sequence

Answers

Answer:

Here we have the sequence:

0.5, 1, 2, 4, 8,...

A) we want to write the term to term rule.

We can see that each term is twice the one before, like:

2*0.5 = 1

2*1 =  2

2*2 = 4

2*4 = 8

etc.

So the term to term rule is just:

n-th term equals twice the previous term, or:

[tex]A_n = 2*A_{n-1}[/tex]

b) We can just construct the 7th term with the known ones:

We know that:

A₅ = 8

A₆ = 2*A₅ = 2*8 = 16

A₇ = 2*A₆ = 2*16 = 32

A₇ = 32

c) As each term in our sequence (unless for the first two ones) is a multiple of 2, we know that no odd number can be a term of this sequence.

1527 is an odd number, so this number can not be in the sequence.

The second of the three numbers is 4 times the first the third is 2 more than the second. If the second number is decreased by twice the third the result is 28 what are the three numbers

Answers

Answer:

the three numbers = -8, -32, -30

Step-by-step explanation:

let the first number = a

let the second number = b

let the third number = c

From the first statement:  b = 4a

From the second statement: c = b + 2

From the third statement: b - 2c = 28

From the above equations, we can solve (1) and (2) together.

c = b + 2

b = c - 2

Also, b - 2c = 28

(c - 2) - 2c = 28

c - 2 - 2c = 28

-c = 30

c = -30

b = -30 - 2

  = -32

b = 4a

a = b/4

a = -32/4

a = -8

Therefore, the three numbers = -8, -32, -30

London is going to invest $8.8oo and leave it in an account for 10 years.
Assuming the interest is compounded continuously, what interest rate, to the
nearest hundredth of a percent, would be required in order for London to
end up with $13.400?

Answers

Answer:

k = 0.04205029854

k = 4.205029854%

Step-by-step explanation:

13400 = 8800(e)^10(k)

ln 1.52 = 10k ln e

(ln 1.52)/ 10 = k

Answer:

The interest rate would be 4.21%

5) sabemos que numa fração decimal, o numerador (número acima do traço) é o decimal sem vírgula e o denominador (número abaixo do traço) é o algarismo 1 seguido de zeros. A quantidade de zeros é indicada pela quantidade de algarismos após 32/10 transforme na forma fracionária os números racionais representado na forma decimal. a)91,4 b)0,731 c)1,431 d)-21,2 e)8,13​

Answers

Answer:

pls ask question in English

You and your family go out to dinner to build a total of $54 plan to leave 20% tip how much tip should you leave

Answers

Answer:

$10.8 is left.

Step-by-step explanation:

Given that,

Total amount = $54

Left amount = 20%

We need to find how much tip should you leave. It means we need to find 20% of 54. So,

[tex]A=\dfrac{20}{100}\times 54\\\\=\$10.8[/tex]

So, $10.8 is left.

Can somebody help me

Answers

5 (step by step below)

Please help

Calculate the volume of the given figure. Use 3.14 for ™.

3 ft

The volume of the solid figure shown in the drawing is approximately (Round to two decimal places as needed.)

Answers

Answer:

Step-by-step explanation:

Vol of a cylinder = pi * r^2 h

Vol of cone = 1/3 pi r^2 h

cylinder = pi *  (1)^2 * (3) = 3 pi

cone = 1/3 pi (1^2) 4 = 4/3 pi

total =   3 pi +  4/3 pi

        = pi(3+ 4/3) = pi(4.333)

= 13.6 f^3

I also need help with this one

Answers

the right one is correct

Answer:

2nd option, it would look like the 2nd option

Step-by-step explanation:

Line A and Line B are
perpendicular lines.
If the slope of Line
A is 4/5, what is
the slope of Line B?

Answers

Answer:

C

Step-by-step explanation:

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{4}{5} }[/tex] = - [tex]\frac{5}{4}[/tex] ← slope of line B

The answer is

-5/4

this is dude to the slip being perpendicular which means that Line B will be the opposite reciprocal to Line A.

Line A=4/5
Line B=-5/4

In triangle ABC, A = 38° and B = C. Find B.
A)71
B)26
C)142

Answers

Answer:

A) because b=c it is an equlateral triangle.

The interior Angles of a triangle is always equal to 180 .

Therefore 180-38 =142

because B=C

142÷2 =71

Finding the volume of the sphere

Answers

Answer:

16

Step-by-step explanation:

correct me if im wrong

if iam right follow me heart this answer

carry on learning

yourhelpinghandishereforyou

Answer:

V≈2144.66058

Step-by-step explanation:

V=(4/3)(π)r^3

V=(4/3)(π)(8)^3

V≈2144.66058

Type the correct answer in each box. Use numerals instead of words. If necessary, use/for the fraction bar. Consider the given table.

Answers

Answer:

The ? represents the number 38 because the average rate of change on every interval of the function is 3

Step-by-step explanation:

Firstly, we calculate the average rate of change over a function can be calculated using the formula below;

f(b) -f(a)/(b-a)

Now, over the interval [-2,2]

we have;

(17-5)/(2/(-2)) = 12/4 = 3

This is expected to be the blanket average rate of change

Thus, we have it that over the interval [5,9]; we have;

3 = f(b) - 26/9-5

3 = f(b) - 26/4

4(3) = f(b) - 26

12 = f(b) - 26

f(b) = 12 + 26

f(b) = 38

Help plz..And No links!! I repeat No links!!

Answers

Answer:

From the Table...

Seems Dear Emma saw 4 plums.

She saw 4 Plums I believe.

Need help with this math urgently

Answers

Answer:

(2,5)

Step-by-step explanation:

y= 4x-3

y=-2x+9

-------------------------

 4x-3=-2x+9

6x-3=9

6x=12

x=2

-----------------

y = 4(2)-3

y =8 -3

y=5

(2,5)

Answer:

1st box: 6x - 3 = 9

2nd box: 6x = 12

3rd box: x = 2

4th box: y = 4(2) - 3

5th box: y = 8 - 3

6th box: y = 5

Step-by-step explanation:

Part A-

1) 4x-3 = -2x+9

2) 4x+2x -3 = -2x+2x + 9

3) 6x -3 = 9

4) 6x -3+3 = 9+3

5) 6x = 12

6) 6x/6 = 12/6

7) x = 2

Part B-

1) y=4x-3

2) y=4(2)-3

3) y=8-3

4) y= 5

Therefore, x = 2 and y = 5.

Uh, I think I did this one… good luck ;p

Put a check by all the prime numbers.

A)6

B)7

C)10

D)11

E)20

F)25

or none of the above

PICK HOW MANY U WANT JUST GIVE ME THE RIGHT ANSWER!

Answers

Answer:

7 and 11

Explanation:

Prime numbers are numbers that have only 2 factors; one and themselves.

Hope this helps!

Answer:

Only 7 and 11 are prime.

Step-by-step explanation:

prime numbers are numbers whose factors are only one and them selves

help please hurryyyy!!! help pls hurry

Answers

Answer:

3 is 18

4 is 14

5 is 10

6 is 6

I hope this helps

Consider a figure in a coordinate plane. For each of the transformations below, first, transform the figure as stated. Then reverse the order of the sentences and transform the original figure a second time. Did the sequences result in the same image or a different image? Drag and drop each transformation in the cell with the appropriate heading

Answers

Answer:

no

Step-by-step explanation:

Find the mean, median, mode, range.

Answers

Answer:

1. mean: 5

2. median: 6

3. mode: 80% or 8

4. range: 7

Step-by-step explanation:

Answer:

mean = 5

median = 6

mode = 80%(aka 8)

range = 7

Step-by-step explanation:

Use the Pythagorean theorem to find the missing length in the right triangle

Answers

C^2 = a^2 + b^2

In this case your a is 24 and b is 7

That means c = sqaure root of(24^2 + 7^2)

C = 25

Answer:

Hi, there your answer is 25

Step-by-step explanation:

Here's the Pythagorean Theorem formula [tex]a^{2} +b^{2}=c^{2}[/tex]

[tex]7^{2}+24^{2}[/tex]=[tex]c^{2}[/tex]

49+576=[tex]c^{2}[/tex]

625=[tex]c^{2}[/tex]

[tex]\sqrt{625}=c^{2}[/tex]

[tex]25=c[/tex]

Hope this helps :)

on square bcde if e is located at (4,-9) and d is located at (10,-5) find the perimeter of the square

Answers

Answer:

8[tex]\sqrt{13}[/tex] units

Step-by-step explanation:

We know that:

P = 4a

We can find one side by distance formula:

a = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]a = [tex]\sqrt{(10 - 4)^2+(-5+9)^2} = \sqrt{36+16} = \sqrt{52} = 2\sqrt{13}[/tex]

Then the perimeter is:

P = 4*2[tex]\sqrt{13}[/tex] = 8[tex]\sqrt{13}[/tex] units

Helppppppppppppppppppppppppppppp!!!!!!!!!

Answers

Answer:

1. Yes

2.i don't know sorry

3. no

4. no

Step-by-step explanation:

1. it is a terminating decimal

2. I don't know sorry

3.it is a repeating decimal

4.itis a repeating decimal

The manager of a home store is buying lawn
chairs to sell at his store. Each pack of chairs
contains 10 chairs. The manager will sell each
chair at a markup of 20% of the wholesale
cost, plus a $2.50 stocking fee.

Answers

Answer:

5$

Step-by-step explanation:

Plzz help ill make u brainliest
Matt and Mindy each built a rectangular prism that has a length of 5 units, a width of 2 units, and a height of 4 units. Matt used cubes that are 1 cm on each side. Mindy used cubes that are 1 in on each side. What is the volume of each prism?

Answers

Answer:

Matt’s: 40 cm = 15.748 inches

Mindy’s: 40 in = 101.6 centimeters

Answer:

The volume is 40 cubed inches

Step-by-step explanation:

The prism that Matt built is 5 cm by 2 cm by 4 cm

5 ⋅ 2 ⋅ 4 = 40

The volume is 40 cubed centimeters

The prism that Mindy built is 5 in by 2 in by 4 in

5 ⋅ 2 ⋅ 4 = 40

The volume is 40 cubed inches

What is the perimeter of the rectangle above


A.16 cm

B.12 cm

C.20 cm

D.24 cm

Answers

Answer:

D. 24 cm

Step-by-step explanation:

perimeter = 8+8+4+4 = 24

You pick a card at random.
6 7 8 9
What is P(9)?
Write your answer as a fraction or whole number?

Answers

Answer:

1/4

Step-by-step explanation:

There are 4 cards

P(9) = number of 9's / total cards

      = 1/4

Assuming there are only four cards, and each card has the number from the list given, the value of P(9) is 1/4. This is because there is one card we want out of 4 total.

Answer:  1/4

PLEASE HELP ME ASAP PLEASE!!! THANK YOU

You can transform ⨀A to ⨀A' by translating it and then performing a dilation centered at A'. Find the translation rule and the scale factor of the dilation

Simplify the scale factor and write it as a proper fraction, improper fraction, or whole number.

Translation: (x,y)↦ (____, ____)

Scale Factor: ____?

Answers

Answer: x=-10, y=-5 or -2/1. And it's dilated by 2. & i believe the scale factor is 2.

Step-by-step explanation:

What i did was simply count from the radius (the tiny dot in the center) up, and   i counted 3, and did the same w/ the A' so I got 6, why makes me assume the scale factor is 2. then i did rise/run and i went  10 left and 5 down. So that makes -10,-5.

Jessie borrowed $1800 from the bank at a rate of 7.5% simple interest per year. Over the course of 4 years, how much interest did he pay?

Answers

$540
Explanation:
7.5% of 1800 is 135
135 • 4 = 540

Show that the sum of the measures of the external angles of any polygon is 360°. [ HINT:- Draw three different polygons like a triangle, quadrilateral, pentagon. Extend each side, then measure the exterior angles from there. Finally, find the sum of measures of all exterior angles of each polygon.]

Answers

basically get a shape

eg we will work with triangles,, add angles to the inside,, ensuring they add up to 180 (because angles in a triangle add up to 180)

now that we have the angles,, extend each side with a line to show the exterior angles.

we know that angles on a line add up to 180,, so to find the external angle,, we can use our internal angle

you would use:

[ 180- internal angle]

do this for all external angles

add all your answers together,, should equal to 180

The window of the school bus need to be washed by the end of the day. Mr.Casey washes 1/3 of the 33 before lunch. If Mr.Casey washes 8 of the remaining windows after lunch, how many windows still need to be washed by the end of the day? A 11 windows B 14 windows C 19 windows D 25 windows

Answers

Answer:

14 windows is the answer

Step-by-step explanation:

windows washed before lunch = 1/3 of total windows

= 1/3 * 33

= 11 windows

windows washed after lunch = 8

windows remaining = total - washed before lunch - washed after lunch

remaining = 33 - 11 - 8

= 33 - 19

= 14 windows

What is 2√54 + 5√24 in simplified radical form?
Enter your answer.

Please explain. :)

I really hope this question doesn’t get removed again or please tell me why it got removed.

Answers

Steps:

[tex]2\sqrt{5}\cdot \:4+5\sqrt{2}\cdot \:4[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:2\cdot \:4=8[/tex]

[tex]=8\sqrt{5}+5\cdot \:4\sqrt{2}[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:5\cdot \:4=20[/tex]

[tex]=8\sqrt{5}+20\sqrt{2}[/tex]

[tex]Answer = =8\sqrt{5}+20\sqrt{2}[/tex]

Answer:

21√6

Step-by-step explanation:

Here we are to combine 2√54 and 5√24, and want to find any factor that these two quantities may have in common.

2√54 can be factored:  2√54 = 2√9√6, or 2[√6√9], or 6√6

Similarly, 5√24 =5√6√9, or 15[√6]

These two results can and should be added together:  7*3√6 = 21√6

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