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3 years ago

Name an angle of A) 40°

Mathematics

2 answers:

ra1l [238]3 years ago

8 0

That is an acute angle

Lesechka [4]3 years ago

4 0

Answer:

<u>acute angle</u>

AB is 40°

and ED is also 40°

Step-by-step explanation:

Have a nice day!

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A square pyramid has a base with an area of 20 square meters, and its lateral faces have a slant height of x meters. Sydney is c

svetoff [14.1K]

1. Consider the pyramid ABCDE in the figure 1 attached:

Each side of the square base equals $\sqrt{20} = \sqrt{4*5} = \sqrt{4}* \sqrt{5}=2 \sqrt{5}$ (units)

Area of 1 lateral side of pyramid ABCDE is $\frac{1}{2}* 2 \sqrt{5}*x=\sqrt{5}x$

so the total lateral area is $4\sqrt{5}x$ (units squared)

and the total surface area is $20+4\sqrt{5}x$ (units squared)

2. Now consider the second figure KLMNP, Sydney's pyramid:

The lateral area is $4* \frac{1}{2}* 4 \sqrt{5} *2x=16 \sqrt{5}x$

so the total area of the second pyramid is $20+16 \sqrt{5}x$

So 2 things can be said about the areas:

i) the lateral area of Sydney's pyramid is $\frac{16 \sqrt{5}x}{4\sqrt{5}x} =4$ times larger than the lateral area of the original pyramid.

ii) The total area of Sydney's pyramid is $(20+16 \sqrt{5}x)-(20+4\sqrt{5}x)=12\sqrt{5}x$ units squared larger than the total area of the original pyramid.

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3 years ago

Read 2 more answers

Timmy goes to the Funland Fair with $30, but each time he goes on a ride it costs him $5. Meanwhile Victor goes to the Amusement

Naddika [18.5K]

Answer:

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Step-by-step explanation:

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2 years ago

Software to detect fraud in consumer phone cards tracks the number of metropolitan areas where calls originate each day. It is f

almond37 [142]

Answer:

The probability is 0.001812

Step-by-step explanation:

Let's call: F the event in which a user is fraudulent, L the event in which a user is legitimate and A the event in which the user calls from two or more metropolitan areas.

So, the probability that the user is fraudulent given that the user call from two or more metropolitan areas is calculated as:

P(F/A) = P(F∩A)/P(A)

Where P(A) = P(F∩A) + P(L∩A)

So, P(F∩A) is the probability that the user is fraudulent and the user calls from two or more metropolitan areas. it is calculated as:

P(F∩A) = 0.0121% * 30% = 0.00363%

Because 0.0121% is the proportion of fraudulent users and 30% is the percentage of the fraudulent users that call from two or more metropolitan areas in a single day.

At the same way, P(L∩A) is the probability that a user is legitimate and the users calls from two or more metropolitan areas. It is calculated as:

P(L∩A) = (100%-0.0121%) * 2% = 1.999758%

Because (100%-0.0121%) is the proportion of legitimate users and 2% is the percentage of the legitimate users that call from two or more metropolitan areas in a single day.

Then, P(A) is calculated as:

P(A) = 0.00363% + 1.999758%

P(A) = 2.003388%

Finally, If the same user originates calls from two or more metropolitan areas in a single day, the probability that the user is fraudulent, P(F/A), is equal to:

P(F/A) = 0.00363 / 2.003388

P(F/A) = 0.001812

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3 years ago

1. Calculate the slope between the two points (2,5) and (-3,-4).

Oksana_A [137]

To find the slope of thine that passes through these points, use the slope formula. It can be read as “slope equals the second y-coordinate minus the first y-coordinate over the second x-coordinate minus the first x-coordinate.”

So we have $\frac{-4 - 5}{-3 - 2}$ and this simplifies to -9/-5 or 9/5.

Remember, a negative divided by a negative is a positive.

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3 years ago

Find the surface area of the prism

IRINA_888 [86]

I think the answers 158 m

6 0

2 years ago