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bonufazy [111]
3 years ago
11

FInd the volume of the square pyramid shown round to the nearest tenth if necessary 11cm 11cm 15cm

Mathematics
2 answers:
k0ka [10]3 years ago
8 0
Volume = 1/3 * area of base * height

=1/3 * 11^2 * 15

=   605 cm^3 Answer
Inessa [10]3 years ago
7 0
So to find the volume of a square pyramid, the formula is 1/3B2h or Base squared times height divided by 3 because of the triangular pyramid. So the base is 11, the height is 15 so 11 squared is 121 and the height is 15, so 121 times 15.

121 x 15= 1,815.

Now we divide by 3 because of the formula, so 1,815 divided by 3 is...


1,815 / 3= 605 cm squared!
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The equation d= -6t + 10 represents the distance d, in miles, Ralph walks from the library to his house in t hours. His sister,
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A: 2.5
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3 years ago
The value of savings account can be modeled by the function S(x) = 5, 000 * (1.025) ^ (0.7x) x is the number of years 1980. What
garik1379 [7]

Answer:

The approximate growth rate of the savings account is 2.5%

Step-by-step explanation:

Given the the function S(x) = 5, 000 * (1.025) ^ (0.7x)

From the function, we can see that part:  (1.025). It presents for the growth factor or rate with the formula as:

(1 + r)  where r is rate

So we have:

(1 + r) = 1.025

<=> r = 1.025  -1

<=> r = 0.025

In pecentage, we have the rare: 0.025 *100% = 2.5%

So the approximate growth rate of the savings account is 2.5%

8 0
3 years ago
If C ( x ) = 11000 + 500 x − 3.6 x 2 + 0.004 x 3 is the cost function and p ( x ) = 1700 − 9 x is the demand function, find the
Bess [88]

Answer:

Step-by-step explanation:

The cost function = C(x)

The demand function = P(x)

C(x) = 11000 + 500x - 3.6x^2 + + 0.004x^3

P(x) = 1700 - 9x

Differentiate C(x) with respect to x

C'(x) = 500 - 7.2x + 0.012x^2

C'(x) is the marginal cost

Revenue = x. P(x)

R(x) = x( 1700 -9x)

= 1700x - 9x^2

Differentiate R(x) with respect to x

R'(x) = 1700 - 18x

R'(x) is the marginal revenue

Profit is maximized when R'(x) = C'(x)

1700 - 18x = 500 - 7.2x + 0.012x^2

Collect like terms

0 = 500 - 1700 - 7.2x +18x +0.012x^2

0 = -1200 + 10.8x +0.012x^2

0 = 0.012x^2 + 10.8x - 1200

Using x=( -b +_ √b^2 - 4ac) /2a

a = 0.012 , b= 10.8 , c= -1200

x= (-10.8 +_ √(10.8^2) - 4*0.012*(-1200)) /2*0.012

= ( -10.8 +_√116.64 + 57.6) / 0.024

= (-10.8 +_ √174.24) / 0.024

= (-10.8 +_13.2) / 0.024

= (-10.8+13.2)/0.024 or (-10.8 - 13.2)/0.024

= 2.4/0.024 or -24/0.024

x= 100 or -1000

Since our profit cannot be negative, the profit = $100

5 0
3 years ago
Jack deposited $1,400 in his bank account. After 3 years, the account is worth $1,694. Find the simple interest rate the account
fenix001 [56]

Answer:

D. 7%

Step-by-step explanation:

5 0
2 years ago
Solve for the missing side. round to the nearest 10th.
Art [367]

Answer: 27

Step-by-step explanation:

so 6 times 9 is 54/ 2 is 27 so 27 is your answer

5 0
2 years ago
Read 2 more answers
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