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3 years ago

A triangular pyramid has lateral faces with bases of 8 meters and heights of 10

Mathematics

1 answer:

Vlada [557]3 years ago

8 0

Answer:

147.7 m²

Step-by-step explanation:

Area of the triangular faces = 1/2 × base × height

A triangular pyramid has lateral faces with bases of 8 meters and heights of 10 meters.

Hence: 1/2 × 8 × 10 = 40 m²

A triangle has 3 faces, hence, area of the 3 faces = 3 × 40 m²

= 120m²

The area of the base of the pyramid is 27.7 square meters.

Hence, the surface area of the pyramid is calculated as:

Area of the 3 lateral faces of the pyramid + Base area

= 120m² + 27.7 m²

= 147.7 m²

The surface area of the pyramid is 147.7 square meters.

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How many equilateral triangles with sides of 4 can fit into a larger triangle with sides of 2012

igomit [66]

The base measures 2012 if you divide that by four you get 503 trianles on the bottom and on the sides and each one gets one smaller until you get to one so 503+502+501,.... or 252+251(504) so the answer is 126,756 triangles in total because 1+503=504 2+502=504... when you get to 252 you just add that to itself so that is the odd one out

6 0

2 years ago

Suppose that a large mixing tank initially holds 100 gallons of water in which 50 pounds of salt have been dissolved. Another br

Serggg [28]

Answer:

dA/dt = 12 - 2A/(100 + t)

Step-by-step explanation:

The differential equation of this problem is;

dA/dt = R_in - R_out

Where;

R_in is the rate at which salt enters

R_out is the rate at which salt exits

R_in = (concentration of salt in inflow) × (input rate of brine)

We are given;

Concentration of salt in inflow = 4 lb/gal

Input rate of brine = 3 gal/min

Thus;

R_in = 4 × 3 = 12 lb/min

Due to the fact that solution is pumped out at a slower rate, thus it is accumulating at the rate of (3 - 2)gal/min = 1 gal/min

So, after t minutes, there will be (100 + t) gallons in the tank

Therefore;

R_out = (concentration of salt in outflow) × (output rate of brine)

R_out = [A(t)/(100 + t)]lb/gal × 2 gal/min

R_out = 2A(t)/(100 + t) lb/min

So, we substitute the values of R_in and R_out into the Differential equation to get;

dA/dt = 12 - 2A(t)/(100 + t)

Since we are to use A foe A(t), thus the Differential equation is now;

dA/dt = 12 - 2A/(100 + t)

5 0

3 years ago

An M&Ms factory produces 109,500,000 M&M’s every day. About 1/5 of its M&Ms are yellow. Find the number of yellow M&

densk [106]

Answer:

It's not possible to answer precisely. About 1/5 of 109,500,000 is equal to about 109,500,000*.2 which is about 21,900,000.

Step-by-step explanation:

The first thing to note is that the amount of yellow M&Ms isn't precisely 1/5th. It's about 1/5th.

So, applying the math, 109,500,000 times 1 and divided by 5 = 21,900,000, but that's not the answer, because of the uncertainty.

The answer has to be "about 21,900,000."

7 0

2 years ago

Complete the equation…<br><br> Picture is included <br><br> Please answer!! No links please!!!

sp2606 [1]

You should subtract the powers when they are divided and add them when they are multiplied this rule is so important for now you just have to subtract them and you will get the answer
Hope it helps :)

8 0

2 years ago

Choose an American adult at random. The probability that you choose a woman is 0.52 . 0.52. The probability that the person you

Nikitich [7]

Answer:

The probability that the person you choose is either a woman or has never been married (or both) is therefore about 0.66

Step-by-step explanation:

Given Data:

Probability of choosing a women = P(W) = 0.52

Probability that chosen person has never married = P(M) = 0.26

Probability of choosing a women that has never married = P(W and M) = 0.11

We need to find the probability that the person you choose is either a woman or has never been married (or both). The addition rule of probabilities of two events is given as:

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) is the probability of occurrence of either A or B or both. P(A and B) is the probability of occurrence of A and B at the same time.

Re-writing the addition formula for given case, we get:

P(W or M) = P(W) + P(M) - P(W and M)

Substituting the given values results in:

P(W or M) = 0.52 + 0.26 - 0.11

P(W or M) = 0.67

Therefore, the probability that the person you choose is either a woman or has never been married (or both) is 0.67.

Note: There is either typo in given options or the questions. The question I found on Google has 0.25 as the probability that the person you choose has never married ( i.e. P(M) = 0.25 ).

So, in this case the correct answer would be option (b) 0.66

4 0

3 years ago