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3 years ago

Find the total area for the regular pyramid T.A. =

Mathematics

1 answer:

Stolb23 [73]3 years ago

4 0

Answer:

The answer to your question is At = 48 + 36 $\sqrt{3}$

Step-by-step explanation:

Area = Area of the base + Lateral area

a) Area of the base

Area = length x height / 2

length = 12

height² = 12² - 6²

= 144 - 36

= 108

height = $\sqrt{108}$ = 6 $\sqrt{3}$

Area = 12 x 6 $\sqrt{3} / 2$

= 36 $\sqrt{3}$

b) Lateral area

height² = 10² - 6²

= 100 - 36

= 64

height = 8

Area = 12 x 8/2

= 48

c) Total area

At = 48 + 36 $\sqrt{3}$

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A cat had a litter of 5 kittens. If each sex is equally likely, what is the probability that 3 or less were female kittens?

ASHA 777 [7]

Answer:

0.8125

Step-by-step explanation:

In this question, we are tasked with calculating the probability that 3 or less of her kittens were female.

Since each bsex is of likely probability, the probability of a male kitten = probability of a female kitten = 0.5

Now to calculate for 3 or less female kitten we are calcualting P(f) ≤ 3

In each case, we use the Bernoulli approximation

P(f) ≤ 3 = $5C3 m^{2} f^{3} + 5C2 m^{2} f^{3} + 5C1 m^{4} f + 5C0 m^{5} f^{0}$

Where m is the probability of a male kitten and f is the probability of having a female kitten with both values = 0.5

P(f) ≤ 3 =(0.3125) + (0.3125) + (0.15625) + (0.03125) = 0.8125

8 0

3 years ago

Before the pandemic cancelled sports, a baseball team played home games in a stadium that holds up to 50,000 spectators. When ti

spayn [35]

Answer:

(a) $D(x)=-2,500x+60,000$

(b) $R(x)=60,000x-2500x^2$

(d)Optimal ticket price: $12

Maximum Revenue:$360,000

Step-by-step explanation:

The stadium holds up to 50,000 spectators.

When ticket prices were set at $12, the average attendance was 30,000.

When the ticket prices were on sale for $10, the average attendance was 35,000.

(a)The number of people that will buy tickets when they are priced at x dollars per ticket = D(x)

Since D(x) is a linear function of the form y=mx+b, we first find the slope using the points (12,30000) and (10,35000).

$\text{Slope, m}=\dfrac{30000-35000}{12-10}=-2500$

Therefore, we have:

$y=-2500x+b$

At point (12,30000)

$30000=-2500(12)+b\\b=30000+30000\\b=60000$

Therefore:

$D(x)=-2,500x+60,000$

(b)Revenue

$R(x)=x \cdot D(x) \implies R(x)=x(-2,500x+60,000)\\\\R(x)=60,000x-2500x^2$

(c)To find the critical values for R(x), we take the derivative and solve by setting it equal to zero.

$R(x)=60,000x-2500x^2\\R'(x)=60,000-5,000x\\60,000-5,000x=0\\60,000=5,000x\\x=12$

The critical value of R(x) is x=12.

(d)If the possible range of ticket prices (in dollars) is given by the interval [1,24]

Using the closed interval method, we evaluate R(x) at x=1, 12 and 24.

$R(x)=60,000x-2500x^2\\R(1)=60,000(1)-2500(1)^2=\$57,500\\R(12)=60,000(12)-2500(12)^2=\$360,000\\R(24)=60,000(24)-2500(24)^2=\$0$

Therefore:

Optimal ticket price:$12
Maximum Revenue:$360,000

3 0

3 years ago

PLEASE HELP!! THANKS!!

Xelga [282]

A) x • 3 + 4 = 22
b) 22-4= 18
so since 18 is left, what times 3 = 18? thats 6. so
6 x 3 + 4 = 22
we can check.
18 + 4 = 22
it equals 22 so thats your answer. x = 6. hopes this helps

7 0

3 years ago

The sum of two consecutive integers is 23. what are the integers?

Zepler [3.9K]

Let the consecutive integers be x and x+1.

Then,

x + (x + 1) = 23

=> x + x + 1 = 23

=> 2x + 1 = 23

=> 2x = 23 - 1

=> 2x = 22

=> x = 22/2

=> x = 11

So, the integers are:

x = 11

and x + 1 = 11 + 1 = 12

So, the consecutive integers are 11 and 12.

3 0

3 years ago

Joe has 80 stamps. 1/4 of the stamps are state stamps. How many state stamps does he have

Hitman42 [59]

Answer:

80/4

Step-by-step explanation:

You do $\frac{80}{1} =\frac{1}{4}$ which is 80/4

8 0

2 years ago