Find the surface area of a square pyramid with side length 2 mi and slant height 5 mi.
5 mi
2 mi
2 mi

Find The Surface Area Of A Square Pyramid With Side Length 2 Mi And Slant Height 5 Mi.5 Mi2 Mi2 Mi

Answers

Answer 1

Answer: 24 in2

Step-by-step explanation:

Answer 2

The square pyramid has a surface area of 24 square miles.

What is the Surface area?

The area or region that an object’s surface occupies is known as its surface area. Volume, on the other hand, refers to how much room an object has. There are numerous shapes and dimensions in geometry, including spheres, cubes, cuboids, cones, cylinders, etc. Each form has its own volume and surface area.

The surface area of a square pyramid is given by the formula:

[tex]S = L^2 + 2L\sqrt{((L/2)^2 + H^2)[/tex]

where L is the length of the base, H is the height of the pyramid, and S is the surface area.

Given L = 2 mi and slant height = 5 mi, we need to find H.

Using the Pythagorean theorem, we can find H as follows:

[tex]H^2 = (slant\ height)^2 - (1/2 L)^2\\\\H^2 = 25 - 1\\\\\H^2 = 24\\\\H = \sqrt{24[/tex]

Now, we can plug in the values of L and H into the formula for surface area:

[tex]S = L^2 + 2L\sqrt{((L/2)^2 + H^2)} \\\\S = 2^2 + 2(2)\sqrt{((2/2)^2 + (\sqrt{24})^2)}\\\\S = 4 + 4\sqrt{(1 + 24)}\\\\S = 4 + 4\sqrt{25}\\\\S = 4 + 4(5)\\\\S = 24[/tex]

Therefore, the surface area of the square pyramid is 24 square miles.

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Related Questions

The diameter of a circle is 20 m. Find its area in terms of π

Answers

Answer:

100π m^2

Step-by-step explanation:

Given data

Diameter= 20m

Radius= 10m

The expression for the  area is

Area= πr^2

Area= π*10^2

Area= π*100

Area= 100π m^2

Hence the area is 100π m^2

What is the range of the following data set? 60, 40, 35, 45, 39

Answers

Answer:

25

Step-by-step explanation:

35,39,40,45,60

60-35=25

A runner ran 2/3 of a race in 21 minutes. They ran the entire race at a constant speed How long did it take to run the entire race?

Answers

Answer:

31.5 minutes

Step-by-step explanation:

21 / 2 = 10.5

10.5 x 3 = 31.5

Nancy and Fabian’s dinner bill at a restaurant is $28 before tax. The tax on their meal is 2.5%.

How much is Nancy and Fabian’s final bill after tax is added?

Answers

Answer:

gtbhytyt4ff5ddtd56cc6c6c6c6f6c66ffb

The amount that Nancy and Fabian’s final bill after tax is added will be $28.70.

What is the percentage?

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

Nancy and Fabian’s dinner bill at a restaurant is $28 before tax. The tax on their meal is 2.5%.

Let "T" be the final bill. Then the equation is given as,

2.5% = [(T - $28) / $28] x 100

0.025 = (T - $28) / $28

T - $28 = $0.70

T = $28.70

The amount that Nancy and Fabian’s final bill after tax is added will be $28.70.

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Eva draws a line that includes the points (2,0) and (-2,2) which function gives all the points (٫) on this line

Possible answers

= -1/2 + 1

= -2 +1

= 1/2 -1

= 2 -1

Answers

Given:

A line passes through the points (2,0) and (-2,2).

To find:

The equation of the line.

Solution:

If a line passes through the two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the equation of the line is:

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

The line passes through the points (2,0) and (-2,2). So, the equation of the line is:

[tex]y-0=\dfrac{2-0}{-2-2}(x-2)[/tex]

[tex]y=\dfrac{2}{-4}(x-2)[/tex]

[tex]y=-\dfrac{1}{2}(x-2)[/tex]

[tex]y=-\dfrac{1}{2}(x)-\dfrac{1}{2}(-2)[/tex]

[tex]y=-\dfrac{1}{2}x+1[/tex]

Therefore, the required equation is [tex]y=-\dfrac{1}{2}x+1[/tex].

Note: In the options, the variables are missing.

The square pyramid below represents a tent that Wayne is making. The sides of the tent will be covered in blue fabric and the base of the tent will be covered in brown fabric. Find the surface area that will be covered in each color of fabric.

Answers

Answer:

The answer is below

Step-by-step explanation:

A square pyramid is a pyramid with a square base. Therefore it is composed of 4 identical triangles and a square base.

From the image attached:

Area of each of the triangle = (1/2) * 3 m * 4.5 m = 6.75 m²

Area of base = 3 m * 3 m = 9 m²

Since the sides are covered in blue fabric, hence:

Surface area of blue fabric = 4 * area of each triangle = 4 * 6.75 m² = 27 m²

The base is covered with brown fabric, hence Surface area of brown fabric = 4 * area of each triangle = 4 * 9 m² = 36 m²

simplify 3²×5² what is the answer​

Answers

Answer:

9.25=225

Step-by-step explanation:

Can You teach english and math

The slating palace charges a $6.00 shoe rental fee plus $2.00 an hour to skate.Mathland skating rink charges $4.00 an hour to skate . what equation represents situation on;the skating palace

Answers

Answer:

Equation for the skating palace

= 6 + 2x

Step-by-step explanation:

Let the number of hours = x

For skating palace, the equation is written as:

The slating palace charges a $6.00 shoe rental fee plus $2.00 an hour to skate.

$6 + $2 × x

= 6 + 2x

For Mathland , the equation is written as:

Mathland skating rink charges $4.00 an hour to skate .

$4 × x

= 4x

Therefore, the equation that represents the situation on the skating palace is :

6 + 2x

What is the volume of a sphere with a diameter of 9.3 m, rounded to the nearest
tenth of a cubic meter?

Answers

The volume of a sphere with a diameter of 9.3 is 521.

what is Volume of sphere?

The amount of space occupied by a three-dimensional figure as measured in cubic units.

Volume of sphere is = 4/3*π*r³

d=9.3, radius= 9.3/2

Volume of sphere = 4/3*22/7*4.65*4.65*4.65*4.65

                               = 421.16 m³

                                = 521

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On a winter day in the Midwest, the temperature got colder than 5 degrees below zero when measured in degrees Fahrenheit. Which of these inequalities correctly represents the temperature? For each inequality, assume that x is the temperature and that the constant is the number of degrees Fahrenheit. (No links.)
A
x<−5

B
x>−5

C
x<5

D
x>5

Answers

Answer:

A

Step-by-step explanation:

The question asks us what equation would represent a temperature less than -5. The answer must then be A.

Answer:

The answer is A. x<-5

Step-by-step explain:

So the question is On a winter day in the Midwest, the temperature got colder than 5 degrees below zero when measured in degrees Fahrenheit. Which of these inequalities correctly represents the temperature? Basically It is simple you have  to figure out which inequality accurately represents the temperature. What u can do is imagine x is the temperature and the 5 is the number that way it will be way easier to figure out!!!! MARK ME AS BRAINLEIST PLS??  

 

Brennan is wrapping a birthday present for his sister. He starts with 2 yards of ribbon. Then, he cuts off 9 inches to decorate the present. How many inches of ribbon does he have left now?

Answers

Answer:

63 inches

Step-by-step explanation:

Brennan is wrapping a birthday present for his sister. He starts with 2 yards of ribbon.

Step 1

We convert from yards to inches

1 yard = 36 inches

2 yards = x

Cross Multiply

x = 2 × 36 inches

x = 72 inches

Step 2

Then, he cuts off 9 inches to decorate the present.

The number of inches of ribbon he has left now is calculated as:

72 inches - 9 inches

= 63 inches

Therefore, he has 63 inches of ribbon left

how do I solve this?​

Answers

Answer:

The final answer is (2,-1)

(also idek what I did in the photo but I'm positive the answer is (2,-1)

math question please help

Answers

Answer:

12 days, 72 tickets

Step-by-step explanation:

the x coordinate of the vertex (aka the number of days it takes to peak) is equal to -b/2a, where b is the coefficient of the second term and a is the coefficient of the first term. That is equal to -9.6/2*-0.4 = 12.

plug 12 in for x to get -0.4*12^2+9.6*12+14=71.6, which rounds to 72.

what is the square root 55 explanation plzz​

Answers

The principal, real, root of:

[tex]\sqrt[2]{55}[/tex] =7.41619849

Can someone tell me the answer for 7.05 x 9.4

Answers

66.27 is the answer

Answer:

[tex]{\huge\purple{\fbox{{࿐αɴѕωєя࿐}}}}[/tex]

[tex]7.05 \times 9.4 \\ = 66.27[/tex]

Find the length of the boldest arc. Rounded answer to the nearest hundredth (use 3.14 for pie)​

Answers

Answer:
8π yards
Step-by-step explanation:
A circle subtends a total angle of 360 ° from its center.The length of an arc is directly proportional to the angle it subtends from the circle's center. The arc's length can therefore be calculated as:
C=πd=2πr
Where C is circumference, d is diameter and r is radius. Given r as 16 yards then the arc length which is equivalent to circumference is given as

What is the radius, Diameter, Area, and Circumference of a 12 feet circle? (No links or fake answers, actually give me a right answer)

Answers

Answer:

12ft, 6ft, 36πft², 12πft

Step-by-step explanation:

Diameter: the distance across the circle - so 12ft

Radius: half the diameter = 0.5(12) = 6ft

Area: πr² = π(6)² = 36π ft² (substitute in 22/7, 3.14, or the exact value of π as fit)

Circumference: 2πr = πd = 12πft

A pyramid and a cone are both 8 centimeters tall and have the same volume.
What statement must be true about the two solids?
АЛ
A. The vertical cross-sections of the prisms at the same width must
have the same area.
B. The area of the cross-sections of the prisms are multiples of each
other.
C. The cross-sections of the prisms are the same shape.
D. The horizontal cross-sections of the prisms at the same height
must have the same area.

Answers

Answer:

D. The horizontal cross-sections of the prisms at the same height must have the same area.

Step-by-step explanation: I dont know what the guy above is saying but this is the right answer

Since it is given that both prisms have the same height and volume, the answer is option D. The horizontal cross-sections of the prisms at the same height  must have the same area.

A solid figure is one which has surface area and volume. Examples are prisms, cube, cuboid etc. Thus cones and pyramids are solid figures.

From the given question,

Volume of a cone, V = [tex]\frac{1}{3}[/tex][tex]\pi r^{2} h[/tex]

where r is its radius, and h its height

also,

Volume of a pyramid, V = [tex]\frac{1}{3}[/tex] lwh

where l is its length, w is the base width and h is its height.

Given that: i. volume of cone = volume of pyramid

                  ii. height of cone = height of pyramid

Then,

[tex]\frac{8}{3}[/tex][tex]\pi r^{2}[/tex] = [tex]\frac{8}{3}[/tex]lw

[tex]\pi r^{2}[/tex] = lw

Thus it can be deduced that at the same height, the horizontal cross section of the prisms have equal area. So that option D is the appropriate answer to the given question.

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32. A data set is normally distributed
with mean 18 and standard
deviation 2.7. Approximately what
percent of the data are greater
than 14?
(A) 0.7%
(B) 6.9%
0.9%
D 93.1%

Answers

Answer:

93.1%

Step-by-step explanation:

Geometry please help.

Answers

Answer:

CD = 16

Step-by-step explanation:

We can see that both AC and AB are radii. This means that they are equal, so AC = AB = 17. From segment addition postulate we can say AB = AE + BE

We are given BE, and we found the length of AB, so we can substitute and solve for AE:

AB = AE + BE

17 = AE + 2

AE = 15

Since we are given that AB is perpendicular to CD, ∠AEC would be a right angle, making ΔAEC a right triangle.

Now, we can use the pythagorean theorem to find the length of CE.

a^2 + b^2 = c^2

We are given the hypotenuse, c or AC in this case, and one leg, b, or AE in this case. We can plug in the values we are given:

CE^2 + AE^2 = AC^2

CE^2 + 15^2 = 17^2

CE^2 + 225 = 289

CE^2 = 64

CE = 8

Now, if a chord is perpendicular to a radius(AB in this case) we can say that it is split in half by the radius. This is basically saying that CE = DE = 8.

Again, using segment addition postulate, we can say:

CE + DE = CD

CD = 8 + 8

CD = 16

Are the two Rectangles congruent? How do you know?

A. No, Sides are diffrent length and do not have a corresponding part.
B. Yes, each side and each angle has a congruent corresponding part. ​

Answers

Yes each side and each angle has a congruent corresponding part

If a bag contains 12 apples, 4 bananas, and 8 oranges, what is the part-to-whole ratio bananas to all fruit?

Answers

Answer:

4:24

Step-by-step explanation:

12 + 4 + 8 = 24 and there are only 4 bananas. So, the answer is 4:24

hope that helps!!

Answer: 1 : 6

Step-by-step explanation: 4 over 24 equals 1/6th or 1:6 .

Determine the modulus of each of the complex numbers in the matching pairs. List these moduli in order from smallest to largest. Use the letters of the matching pair in your listing.

Suppose m = 2 + 6i, and |m + n| = 3√10 , where n is a complex number.

a. What is the minimum value of the modulus of n?

√10

Provide one example of the complex number, n.



A = J → 2 + 6i

B = F →75

C = H → -3 - i

D = I → 1 + i

E = G → 5 + 5i

these are my matching pairs

Answers

Answer:

the modulus of a complex number z = a + bi is:

Izl= √(a²+b²)

The fact that n is complex does not mean that n doesn't has a real part, so we must write our numbers as:

m = 2 + 6i

n = a + bi

Im + nl = 3√10

√(a² + b²+ 2²+ 6²)= 3√10

√(a^2 + b^2 + 40) = 3√10

squaring both side

a²+b²+40 = 3^2*10 = 9*10 =90

a²+b²= 90 - 40

a²+b²=50

So,

|n|=√(a^2 + b^2) = √50

The modulus of n must be equal to the square root of 50.

now

values a and b such

a^2 + b^2 = 50.

for example, a = 5 and b = 5

5²+5²=25+25= 50

Then a possible value for n is:

n = 5+5i

Let n be x+yi

So

√(a²+b²+2²+6²)=3√10√a²+b²+40=3√10a²+b²+40=90a²+b²=50

Minimum value is 5+5i as 5²+5²=50

Johnny flipped a coin 450 times. His results are:

Heads: 240
Tails: 210

What is the experimental probability that the coin lands on heads?

Please help

Answers

The answer is 8/15. Hopefully this helped

is any body board because i am:(

Answers

frl this place is boring

Correct spelling is “bored”

But yes I am too

Volume (look at the picture)

Answers

Answer:

192 is the volume

Step-by-step explanation:

Answer:

192 cubic (measurement you are using)

Step-by-step explanation:

Formula for the volume of a pyramid is length of base times width of height times the height of the pyramid all over 3 so it would be 8x8x9 all over 3 which is 576, and 576 divided by 3 is 192

please helpp 10 points and brainlyist if you are right.Thanks

Answers

Answer:

58

Step-by-step explanation:

Please help me with this thx need soon

Answers

Answer:

A) x = 7

Step-by-step explanation:

7x + 1 + 7x + 6 + (180° - 15x) = 180°

14x + 7 + 180° - 15x = 180°

combine like terms:

-x = -7

x = 7

Hanako is putting up a fence around their rectangular yard. The fence will be 15 yards long and 6 yards wide. What is the area of Hanako's fence, in square yards?

Answers

Answer:

90 Square Yards

Step-by-step explanation:

To find the area of a rectangle, all you do is multiply the length by the width.

in your equation, the length is 15 and the width is 6.

And 15 x 6 = 90, so the answer is 90 Square Yards.

can someone please help its my 2 to last one

Answers

Answer:

x= -7 because when you add 60+45+82 you get 187. The interior angles of a triangle add up to 180

Step-by-step explanation:

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