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vodka [1.7K]
3 years ago
5

Complete the sentences. The area of the pyramid’s base is in.2. The pyramid has lateral faces. The surface area of each lateral

face is in.2. The total surface area is 144 in.2. WILL MARK BRAINLIEST!!!

Mathematics
2 answers:
Nostrana [21]3 years ago
4 0

Answer:

The area of the pyramid’s base is 36 in².

The pyramid has 4 lateral faces.  

The surface area of each lateral face is 27 in².

Step-by-step explanation:

"Lateral" means side, so the lateral faces are triangles.

The base is the bottom, which is a square.

To calculate the area of the base, use the formula for area of a square.

To calculate the area of a lateral face, find the area of a triangle.

In a pyramid, the number of lateral faces is the same as the number of sides in the base. The square base as 4 sides, so there are 4 lateral faces.

Nitella [24]3 years ago
3 0

Answer:

Step-by-step explanation:

The area of the pyramid's base is 36 square inches.

  • Area of base = s*s = 6*6 = 36

The pyramid has 4 lateral faces.

  • Count how many non-bases there are.

The surface area of each lateral face is 18 square inches.

  • Area of lateral face = 1/2 b*h = 1/2 9*6 = 18
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Afina-wow [57]

Answer:

Gradient is 11/4 and y intercept -8

Step-by-step explanation:

11X -4Y =32

transfer 11x on other side

-4y = -11x +32

multiply all termsby -1 so that coefficient of y is positive

4Y = 11X -32

DIVIDE ALL TERMS BY 4

Y = (11/4)X -8

COMPARE THIS WITH Y=mX +C

GRADIENT m is 11/4 and Y intercept C is -8

Gradient is 11/4 and y intercept -8

4 0
3 years ago
Read 2 more answers
A bag contains 30 lottery balls numbered 1-30 a ball is selected replaced then another is drawn find each probability
iogann1982 [59]
#1) 5/20
#2) 7/300
#3) 3/50
#4) 5/20

Explanation
For #1:
There are 15 even numbers out of 30.  Since it is replaced before drawing the second ball, there will be 15 odd numbers out of 30.  This gives us
15/30(15/30) = 225/900 = 5/20.

For #2:
There is 1 7 out of 30; then there are 14 numbers greater than 16 out of 30:
1/30(14/30) = 14/900 = 7/300

For #3:
There are 6 multiples of 5 out of 30; then there are 9 prime numbers out of 30:
6/30(9/30) = 54/900 = 3/50

For #4:
There are 15 even numbers out of 30; then there are still 15 even numbers out of 30:
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7 0
3 years ago
Read 2 more answers
F(x) = 3x + 5, g(x) = 6x2 Find (fg)(x).
shepuryov [24]

Answer:

18x² + 5

Step-by-step explanation:

To evaluate f(g(x)), substitute x = g(x) into f(x)

f(g(x))

= f(6x²)

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4 0
3 years ago
7. GEOGRAPHY The discharge of a river
Rama09 [41]

Answer:

10 m

Step-by-step explanation:

Given:

The discharge of water is equal to the product of of its width, its average depth and its speed.

Let D be discharge of water, w be its width, h be its average depth and v be its speed.

So, D=vwh

As per question,

D=3198\textrm{ }m^{3},w=533\textrm{ m},v=0.6\textrm{ }m/s

Plug in the above values and solve for h.

3198=0.6\times 533\times h\\3198=319.8h\\h=\frac{3198}{319.8}=10\textrm{ m}

Therefore, the average depth of the Mississippi river is 10 m.

8 0
4 years ago
Margaret is planning a rectangular garden. Its length is 4 feet less than twice its width. Its area is 170ft^2. what are the dim
bogdanovich [222]
If you would like to know the dimensions of the garden, you can calculate this using the following steps:

length ... (2 * x - 4) feet
width ... x feet
area ... 170 ft^2

area = length * width
170 = (2 * x - 4) * x
170 = 2 * x * x - 4 * x
170 = 2 * x^2 - 4 * x
0 = 2 * x^2 - 4 * x - 170     /2
0 = x^2 - 2 * x - 85
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2. x = 1 + sqrt(86) = 10.27

length: 2 * x - 4 = 2 * 10.27 - 4 = 16.54 feet
width: x = 10.27 feet

The dimensions of the garden are 16.54 feet and 10.27 feet.
7 0
4 years ago
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