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2 years ago

You are making an umbrella that is shaped like a regular octagonal pyramid.

Mathematics

1 answer:

guajiro [1.7K]2 years ago

8 0

Answer:

80 ft²

Step-by-step explanation:

From the diagram

The umbrella has a total of 8 triangle.

Applying

A = 8(bh)/2

A = 4bh...................... Equation 2

Where A = Amount of fabric, b = base of one of the triangle in the octagonal pyramid, h = height of the triangle.

From the diagram,

Given: b = 4 ft, h = 5 ft

Substitute these values into equation 2

A = 4×4×5

A = 80 ft²

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QUADRATIC EQUATION â€" WORD PROBLEMS

dusya [7]

Answer: -7, 12

Step-by-step explanation:

a+b = 5

a*b = -84

a = 5-b

(5-b)*b = -84

-b^2 + 5b + 84 = 0

(-b - 7)(b + 12) = 0

The roots are -7 and 12.

I'm not sure what â€" stands for

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2 years ago

Let f(x) = 3x -7 and g(x) = -2 - 6 find (fog) (4) <br><br> show all steps

iren2701 [21]

3x-7=-2-6
3x=-2-6+7
3x=-1
X=-3

6 0

2 years ago

Identifying the Independent and Dependent Variable

katrin [286]

Answer:

The number of miles traveled is the independent variable.

The amount of money spent is the dependent variable.

Step-by-step explanation:

They keyword here is "per". You are spending .6 dollars for every mile traveled

7 0

3 years ago

Read 2 more answers

The grade appeal process at a university requires that a jury be structured by selecting eight individuals randomly from a pool

anygoal [31]

Answer: The probability of selecting a jury of all faculty=0.000071

The probability of selecting a jury of six students and two two faculty=0.3667

Step-by-step explanation:

Given: The number of students = 9

The number of faculty members=11

The total number of ways of selecting jury of eight individuals= $^{20}C_8=\frac{20!}{(20-8)!\times8!}=125970$

The number of ways of selecting jury of all faculty= $^9C_8=\frac{9!}{8!(9-8)!}=9$

The probability of selecting a jury of all faculty= $\frac{9}{125970}=0.000071$

The number of ways of selecting jury of six students and two two faculty

$=^9C_6\times ^{11}C_2=\frac{9!}{6!(9-6)!}\times\frac{11!}{2!\times(11-2)!}\\=84\times55=4620$

Now, the probability of selecting a jury of six students and two two faculty

$=\frac{4620}{125970}=0.03667$

7 0

2 years ago

Solve this please. Can you find the x and y intercept? Thanks

Viefleur [7K]

In order to find these answers, we must put the equation into slope-intercept form.

Slope-intercept form has the following equation: Y=mx+b

M is the slope of the equation, and b is the Y-intercept. In this case, we have to isolate the Y variable and solve

$0=1-2y+14x\\2y=14x+1\\y=7x+.5$

So, the M in this case is 7, and the b is .5

So, the slope of the equation is 7, and the Y intercept is .5

6 0

2 years ago