What is the surface area of a square pyramid with a height of 12 mm and a base that measures 8 mm on each side?

Answers

Answer 1

Answer:

266.39mm²

Step-by-step explanation:

The formula for surface area of a square based pyramid =

S.A = a² + 2a √a²/4 + h²

Where

a = base length = 8mm

s = Height of the pyramid = 12mm

Hence,

S.A = 8² + 2 × 8 × √8²/4 + 12²

S.A = 64 + 16 ×√64/4 + 144

S.A = 80 × √16 + 144

S.A = 80 × √160

S.A = 266.39 mm²

Therefore, the surface area of a square pyramid is 266.39 mm²


Related Questions

Please HELP ASAP and have a great night

Answers

Answer:

1) Skewed left

2) About 33.333%

Explanation for 2; to find the percent, use the following steps:

First, add all the numbers together to find the total number of students

4 + 6 + 6 + 8 + 12 = 36

Then, divide 12 by 36

12 ÷ 36 = 0.3333....

Finally, multiply 0.3333.... by 100

0.3333.... × 100 = 33.333....%

Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.

Answers

The answer to this problem is 6(x+5)(x+9)

A coin bank for donations for the protection of the reef contained Php 1,570. There were twice as many Php 5-coins as

Php 10-coins and 14 less Php 1-coins as Php 5-coins. How many of each kind were there?

Answers

Answer:

There are 144 Php 5-coins, 72 Php 10-coins and 130 Php-1 coins

Step-by-step explanation:

The amount of the coins in the coin bank = Php 1,570

The number of Php 5-coins = 2 × The number of Php 10-coins

The number of Php 5 coins = The number of Php 1-coins + 14

Let 'x' represent the number of Php-5 coins, let 'y' represent the number of Php 10-coins, and let 'z' represent the number of Php 1-coins, we get;

x = 2 × y...(1)

x = z + 14...(2)

5·x + 10·y + z = 1,570...(3)

From equation (1) equation (2), and equation three, we have;

y = x/2

z = x - 14

5·x + 10·x/2 + x - 14 = 1,570

11·x - 14 = 1,570

x = (1,570 + 14)/11 = 144

The number of Php 5-coins, x = 144

y = x/2

∴ y = 144/2 = 72

The number of Php 10-coins, y = 72

z = x - 14

∴ z = 144 - 14 = 130

The number of Php 1-coins, z = 130

A survey asked 10 boys and 10 girls how many hours they spent playing video games the previous week. The number of hours are given in the line plots. Select from the drop-down menus to complete each statement. The data set with the greater range is neither as the range is the same . The median Choose... .

Answers

Answer:

Step-by-step explanation:

range is the same since 20-8=12 and 14.5-2.5=12. The boys do have the greatest median though as three boys play for 10 hours.

boys: 15 - 8 = 7

girs: 15 - 3 = 12

so girls have greatest range

Median:

boys = 12

girls = 6.5

so boys have greatest median

answer:

first drop down: girls have greatest range

second drop down: boys have greatest median

Answer:

the answer above is correct!

Which angles are vertical angles?

Answers

Answer: BCF AND DCA
Explanation:

Describe how the area of a rectangle will change if its width remains constant but its length is halved

Answers

Answer:

Step-by-step explanation:

Area of a rectangle is given as length times breadth. Mathematically,

A = l * b

If the length is halved and the breadth is constant, then we have

A = l/2 * b

A = lb/2

From the above, the area of a rectangle is lb, while the area of the hypothetical rectangle will be lb/2

This means that, if the length is halved, and the width is constant, then the area of the rectangle reduces by half.

which of the following angles is not coterminal with the other three?
a) 540°
b) 0°
c) 180°
d) -180°

Answers

Answer:

b) i think

Step-by-step explanation:

which term can be used to describe the relationship between <A and <B

A.Complementary
B.Supplementary
C.Vertical
D.Acute

(look at the picture)

Answers

Answer:

D. Acute

Step-by-step explanation:

Acute because both <A and <B are less then 90 degrees

Hope this helps :).

Answer:

Option A

Step-by-step explanation:

Given :-

A line is given which has three angles a , b and 90° .

We need to find the relationship between a and b. Also we know that the measure of angle of straight line is 180 ° .

According to Question :-

[tex]:\implies[/tex] a + b + 90° = 180°

[tex]:\implies[/tex] a + b = 180° - 90°

[tex]:\implies[/tex] a + b = 90°

Hence the angles a and b are complementary.

Help please ?!?!?!!???????!???!???!!????!!??!??!?!?!!??!?!!????

Answers

Answer: B. clusters: yes; outliers: yes (so sorry if it’s incorrect (: )

30 points for right answer +brainliest plz plz plz helpp!
due in 10 mins where i live plz help!!!!!!!!!!!!!!!!!!hurryy

Answers

Answer:

Number one is 48 ft and number two is 92 in.

Factor using the x method


( please do not answer without showing work )

Answers

Answer:

[tex]5(x + 10)(10x - 3)[/tex]

Step-by-step explanation:

We are factoring

[tex]50x^{2} + 485x - 150[/tex]

So:

((2•5^2x^2) +  485x) -  150

Pull like factors :

50x^2 + 485x - 150  =   5 • (10x^2 + 97x - 30)

Factor

 10x^2 + 97x - 30

Step-1: Multiply the coefficient of the first term by the constant   10 • -30 = -300

Step-2: Find two factors of  -300  whose sum equals the coefficient of the middle term, which is 97.

-300    +    1    =    -299

     -150    +    2    =    -148

     -100    +    3    =    -97

     -75    +    4    =    -71

     -60    +    5    =    -55

     -50    +    6    =    -44

     -30    +    10    =    -20

     -25    +    12    =    -13

     -20    +    15    =    -5

     -15    +    20    =    5

     -12    +    25    =    13

     -10    +    30    =    20

     -6    +    50    =    44

     -5    +    60    =    55

     -4    +    75    =    71

     -3    +    100    =    97

Step-3: Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -3  and  100

                    10x^2 - 3x + 100x - 30

Step-4: Add up the first 2 terms, pulling out like factors:

                   x • (10x-3)

             Add up the last 2 terms, pulling out common factors:

                   10 • (10x-3)

Step-5: Add up the four terms of step 4:

                   (x+10)  •  (10x-3)

            Which is the desired factorization

Thus your answer is

[tex]5(x + 10)(10x - 3)[/tex]

Answer:

[tex] \displaystyle \rm 5({x}^{} + 10)( 10x - 3)[/tex]

Step-by-step explanation:

we would like to factor out the following expression:

[tex] \displaystyle {50x}^{2} + 485x - 150[/tex]

notice that, in every term there's a common factor of 5 thus factor it out:

[tex] \displaystyle 5( {10x}^{2} + 97x - 30)[/tex]

now we have to rewrite the middle term as sum or substraction of two different terms in that case 100x-3x can be considered:

[tex] \displaystyle 5( {10x}^{2} + 100 - 3x - 30)[/tex]

factor out 10x:

[tex] \displaystyle 5( 10({x}^{2} + 10)- 3x - 30)[/tex]

factor out -3:

[tex] \displaystyle \rm 5( 10x({x}^{} + 10)- 3(x + 10))[/tex]

group:

[tex] \displaystyle \rm 5({x}^{} + 10)( 10x - 3)[/tex]

and we are done!

hence,

our answer is B)


Wilma purchased 8 identical notebooks, and some pencils for school. Overall, she paid $25.56 for everything.
If she paid $3.56 for the pencils, which equation below could be used to determine the price of each
notebook, x?

A) 8 + 3.56 + x = 25.56

B) 3.56x + 8 = 25.56

C) 25.56 + 8 = 3.56x

D) 8x + 3.56 = 25.56

Answers

D) 8x + 3.56 = 25.56

HELP!!! WIL MARK BRAINLIEST IF GOTTEN RIGHT

Answers

The answer is B. 12

Answer:

Answer is 8

Step-by-step explanation:

if you take OP minus the radius(5) you get 8 and the t is in the same place as I do it's 8

The perimeter of a square garden is 54 feet. What is the length of one side of the garden?

Answers

Answer: 13.5

Step-by-step explanation:

54/4 = 13.5

13.5 x 4 = 54

How to work out Pythagoras Theoram​

Answers

The Pythagorean Theorem works only with right angle triangles. There are three sides: Side A, Side B, and the hypotenuse.

The formula for the Pythagorean Theorem is: a^2 + b^2 = c^2

To find the answer (without the exponent), you should find the square root.

Now that we have the formula, let's apply it to a triangle:

90^2 + 95^2 = c^2 =

8100 + 9025 = 17125

Square root = 130.86252328302

130.86252328302 is the exact measure of the hypotenuse.

I hope this helped!

Please mark brainliest :)

Have an amaing day!

How do I graph these points on a graph?
(-1/2, -3/2)

Answers

Answer:

Start at origin (0,0)

Move 1/2 units left

Move 1 and 1/2 units down

Place your point

Step-by-step explanation:

Start at the origin (0,0)

Move 1/2 units to the left

Then move 1 1/2 units down, and place your point.

The first coordinate is locating the position horizontally, or on the x axis

The second coordinate is locating the position vertically, or on the y axis.

If there is a negative number on the x coordinate, the first one, you move left.

If positive, you move right.

If there is a negative number on the y coordinate, the second one, you move down.

If positive, you move up.

If my answer is incorrect, pls correct me!

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

-Chetan K

Answer:

move toward left of the horizontal x axis then plot the point in between o and -1.For next point then move down the vertical y axis and plot the point in between -1 and -2 .

Step-by-step explanation:

Hope this helps u!!

Find the area of a semicircle with radius r​

Answers

Answer:

Area of semicircle is

[tex] \frac{1}{2} (\pi \times {r}^{2} )[/tex]

If you are helped with my answer pls tag me brianliest I really want it

THANK YOU......

Answer:

To calculate the area of a semicircle

We are gonna have to use the formula :

[tex]\frac{1}{2}[/tex] π r² [ that is the formula to calculate the area of a semicircle ]

Step-by-step explanation:

If we want to calculate the radius of a semicircle with 4 ft --

we would first write the formula which is "[tex]\frac{1}{2}[/tex] π r²"

Then, you would write: [tex]\frac{1}{2}[/tex] π (4 ft)²

After that, you would write:  [tex]\frac{1}{2}[/tex] (3.14)(16)

Type that into a calculator and you would get 25.12  as your answer

--

Why did we write 3.14 and 16? [ [tex]\frac{1}{2}[/tex] (3.14)(16) ]

Bc, the first digits of pi are 3.14 .

We wrote 16 because 4² = 16 [ 4x4=16 ]

My explanation isn't that good so I would suggest watching the math antics video which is named "Circles, Circumference And Area"

The area of a circle is 4π ft². What is the circumference, in feet? Express your answer in terms of \piπ.

Answers

Answer:

4π m

Step-by-step explanation:

❓❓❓❓❓❓ anyone know this

Answers

The answer is (-1,3) and (-2,6)

Answer: (-1,3) ; (-2,6)

Step-by-step explanation:

The solution would be where the two graphs intersect or touch (where the line and the parabola intersect or touch).

Look at the two dots on the plane, where the line and parabola intersect--those are the answers.

YOU WILL BE A LIFE SAVER PLEASE!!!!

Answers

Answer:

A. 92

Step-by-step explanation:

90 × 6 = 540

92 + 84 + 86 + 94 = 356

540 - 356 = 184

184/2 = 92

A local rectangular patio that originally measured 5 feet by 10 feet was extended on one side each by x feet. The area of the new, larger, L-shaped extension is 126 square feet.

Write an equation that could be used to solve for x.

Explain how you arrived at your equation, i.e. how does it model the situation stated.

Find the value of x by solving your equation. Show your work.

Answers

Answer:

x=4

Step-by-step explanation:

(5+x)(10+x)=126

50+5x+10x+x^2 = 126

x^2 + 15x +50=126

x^2 + 15x - 76 = 0

(x+19)(x-4) = 0

X=-19, 4

X=-19 is not possible

x=4

What 0.257 to the nearest hundredth

Answers

Answer:

0.26

Step-by-step explanation:

0.2 -> tenth

0.25 -> the 5 is the hundred place

0.257 -> the 7 is the thousand place.

Round the 7 and you get 0.26

Answer:

0.26

Step-by-step explanation:

To round 0.257 to the nearest hundreth, you'd have to look at the five and seven. Since seven is a higher number than four, you'd round the 5 up one, and get rid of the seven.

For further help I suggest this website:

https://www.varsitytutors.com/hotmath/hotmath_help/topics/rounding-decimals

the cell phone bill recorded that Jeremiah sent 532 text messages last week. On average how many text messages did he send each day?​

Answers

Answer:

76 messages

Step-by-step explanation:

532 divided by 7 = 76

Answer:

76 Texts

Step-by-step explanation:

Amount of texts/Days = 532/7 = 76

Can someone help me figure out the best way to do long division? I have trouble with it every time.

Answers

Answer:

follow the steps

divide

times

minus

bring down

Answer:

It can be hard to understand something especially if you comprehend stuff more differently then the person teaching you

Step-by-step explanation:

But I think doing your research and practicing should help.

find the value of y answer is not
[tex]14 \sqrt{3} [/tex]
. NO SCAMS OR LINKS! THANKS FOR THE HELP

Answers

Answer:

[tex] \tan(60 \degree) = \frac{21}{y} \\ y = \frac{21}{ \tan(60 \degree) } \\ y = 12.124 \\ = 7 \sqrt{3} [/tex]

Which of the following expressions is a common factor when the expressions

x2 – 16 and x2 +7x + 12 are factored?

A.
x + 3

B.
x - 3

C.
x + 4

D.
x - 4

Answers

Answer:

1 Use this rule: a-b=-(b-a)a−b=−(b−a).

-(16-2)

−(16−2)

2 Use the algorithm method.

1 6

- 2

1 4

3 After simplification, we have:

-(16-2)=-14

−(16−2)=−14

4 Therefore, 2-16=-142−16=−14.

-14

−14

for the second one

1 Collect like terms.

7x+(2+12)

7x+(2+12)

2 Simplify.

7x+14

7x+14

a store sells paint sets each paint set costs the same amount. During a sale, the store reduces the price of each paint set by $1.55. Emily spends $16.02 on 3 paint sets at the sale price.
What was the price of 1 paint set before the sale?

Answers

16.02/3= 5.34
5.34+1.55= 6.89
The price of 1 paint set is $6.89 before the sale.

A pizzeria sells a round pizza with a diameter of 16 inches. Another pizzeria sells a large square pizza with a side length of 15 inches Which of the two shapes gives you more pizza? How much more? Rounded to the nearest hundredth.

Answers

Answer:

pizzeria1

Step-by-step explanation:

Given data

pizzeria1

Diameter=16in

Radius= 16/2= 8in

Area= πr^2

Area= 3.132*8^2

Area= 201.09 in^2

pizzeria2

Diameter=15in

Radius= 15/2= 7.5in

Area= πr^2

Area= 3.132*7.5^2

Area= 176.74n^2

6. The length and breadth of a rectangle are (3a + 2) and (2a-1).
Which of the following represents its perimeter?
W: 2(5a - 1)
B. (5a + 1)
C. (5a - 1)
D. 2(5a + 1)

Answers

perimeter: 2l + 2w
plug in l and w
2(3a +2) + 2(2a-1)
6a + 4 + 4a - 2
10a + 2
2(5a + 1)
answer choice is 2(5a+1)

Please helpppppppppppppppppppppppppppppppppppppppp :)

Answers

Answer:

isosceles triangle, base 5 cm, height 8 cm

Step-by-step explanation:

----------

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