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il63 [147K]
3 years ago
5

For a project, Gabrielle made a model of an Egyptian pyramid. The square base has a side length measuring 10 inches. The pyramid

is 12 inches tall. What is the surface area of the model? square inches

Mathematics
2 answers:
jeka57 [31]3 years ago
6 0
The surface area of a pyramid may be calculated using the formula:
Area = length * width + length*√[(width/2)² + height²] + width*√[(length/2)² + height²]

In this case, the base of the pyramid is a square, which means that the length and the width are equivalent.
Therefore, the equation simplifies:
Area = l² + 2l√[(l/2)² + h²]

Now, we substitute the values into the equation:
A = 10² + 2*10*√[(10/2)² + 12²]
A = 360

The surface area of the pyramid is 360 square inches.
Varvara68 [4.7K]3 years ago
3 0
The pyramid is shown in the diagram below.
The pyramid is built from four congruent triangles and one square as the base

We have the side of the square, so the area is = 10×10 = 100

We need the height of the triangle to work out its area. We can find out by using the height of the pyramid and half of the length of the side of the square.

Using the Pythagoras rule
Height of triangle = \sqrt{12^{2}+ 5^{2} } =13

Area of one triangle = 1/2×10×12=60
Surface area of the pyramid = 100 + (4×60) = 340 square inches

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What is the value of y?
Amiraneli [1.4K]

Answer:

\boxed{D. \: 40\degree}

Step-by-step explanation:

<em>Angle sum property of triangle states that the sum of interior angles of a triangle is 180°</em>

So,

=  > 2y \degree + (y + 10)\degree + 50\degree = 180\degree \\  \\  =  > 2y\degree + y\degree + 10\degree + 50\degree = 180\degree \\  \\  =  > 3y\degree + 60\degree = 180\degree \\  \\  =  > 3y\degree = 180\degree - 60\degree \\  \\  =  > 3y\degree = 120\degree \\  \\  =  > y =  \frac{120\degree}{3\degree}  \\  \\  =  > y = 40\degree

5 0
3 years ago
a cube-shaped box has a volume of 125 cubic inches. if a box is packed full of cubes with edge lengths of 1 inch how many cubes
Likurg_2 [28]

Answer:

Step-by-step explanation:

Figure it out and stop cheating! I have your IP and will be reporting this to your school

7 0
3 years ago
Micheal buys two bags or chips and three boxes of pretzels for $5.13 . He then buys another bag of chips and 2 boxes of pretzels
trapecia [35]

Answer:

So a bag of chip costs $2.39

Step-by-step explanation:

Let x = cost of a bag of chip

Let y = cost of a box of pretzel

Micheal buys two bags of chips and three boxes of pretzels for $5.13

This means

2x + 3y = 5.13 - - - - - - - - - -1

He then buys another bag of chips and 2 boxes of pretzels for $3.09

This means

x + 2y = 3.09 - - - - - - - - - - - -2

Solving equation 1 and equation 2 simultaneously and using the elimination method,

Multiply equation 1 by 1 and equation 2 by 2

2x + 3y = 5.13

2x + 6y = 6.18

Subtracting,

-3y = -1.05

y = -1.05/-3= $0.35

Put y= 0.35 in equation, x + 2y = 3.09

x + 2(0.35)= 3.09

x + 0.7= 3.09

x = 3.09-0.7 = $ 2.39

So a bag of chip costs $2.39

5 0
3 years ago
when angle anc is a right angle and angle anb = 2x and angle bnc = 3x then what is angle anb? what is angle bnc?
gtnhenbr [62]
We know, sum of all the angles in a triangle is equal to 180 degree
So, 90 + 2x + 3x = 180
5x = 180-90
x = 90/5
x = 18

∠ANB = 2x = 2(18) = 36
∠BNC = 3x = 3(18) = 54

Hope this helps!
6 0
3 years ago
Jacob and Ayden work at a dry cleaners ironing shirts. Jacob can iron 25 shirts per hour, Ayden can iron 35 shirts per hour. Ayd
Anestetic [448]

Answer:

jacob ironed 100 shirts

ayden ironed 280 shirts

Step-by-step explanation:

jacob ironed for 4 hours and ayden for 8 hours

5 0
3 years ago
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