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Vesnalui [34]
3 years ago
6

The surface area of a triangular pyramid is 1836 ft2.

Mathematics
1 answer:
mojhsa [17]3 years ago
8 0
1836 ÷ 4 = 459 ft^2   B
You might be interested in
Help! Help! Help! Help! Help! Help! ​
oee [108]

Answer:

         7947 ×

        <u>   243</u>

       23841

      31788

   15894    

1 931 121

========================

         424300 ×

              <u>230</u>

       000000

     1272900

    848600    

  975 890

3 0
2 years ago
You need to buy 30 pounds of hamburger and 15 packages of buns for a staff-appreciation picnic. You have 2 options for hamburger
son4ous [18]

We have to determine the best cost after all discounts and tax.

Hamburger:

1 pound of Open Acres = $2.39

30 pounds of Open Acres = 30 \times \$2.39 = \$71.7

10% off is provided if we buy at least 10 pounds of Open Acres, we bought 30 pounds. So, we get 10% off.

10% off on 30 pounds of Open Acres Hamburgers = 10% of $71.7

= \frac{10}{100} \times 71.7 = 7.17

Total cost of 30 pounds of Open Acres Hamburgers = $71.7 - $7.17

=$64.53

Buns:

1 packet of Burly buns = $1.93

15 packets of Burly buns = 15 \times \$1.93

=$28.95

5% off on 15 packets of Burly buns = 5% of $28.95

= \frac{5}{100} \times 28.95 = \$1.4475

Total cost of 15 packets of Burly buns = $28.95 - $1.4475

=$27.50

Now, according to the question, a 10%-off coupon that can be used on either the hamburger or the buns, but not both, after any other discounts are applied.

Let us apply 10% off applied on Hamburgers:

10% of $64.53

=\frac{10}{100} \times 64.53 = \$6.453

Now, total cost of hamburgers after all the discounts = $64.53-$6.453

= $58.077

And total cost of Buns after all the discounts = $27.50

Total price of hamburgers and buns = $58.077 + $27.50

= $85.577

5% tax applied on total price of hamburgers and buns = 5% of $85.577

= $4.28

Best cost on the purchase of hamburgers and buns = $85.577 + $4.28

= $89.857

Rounding to the nearest hundredth dollar, we get

Best cost on purchase of 30 pounds of hamburgers and 15 packets of buns after all discounts and tax = $89.86

4 0
2 years ago
Read 2 more answers
Rudolph borrowed $650 from his parents to make some repairs on his car. He promised to repay the loan by giving his parents at l
Zolol [24]
All you have to do for this one is 650 divided by 76 which is 8 but it won't go into it evenly
4 0
3 years ago
Write an equation for the nth term of the arithmetic sequence.
tresset_1 [31]

Answer:

<h3>              \bold{a_n=6n-3}\\\\\bold{a_{50}=297} </h3>

Step-by-step explanation:

3, 9, 15, 21,  ...

9-3 = 6;   15-9 = 6;   21-15 = 6   ⇒  d = 6

first term:  a = 3

difference:  d = 6

so the formula:

                         a_n=a+d(n-1)\\\\a_n=69+6(n-1)\\\\a_n =3+6n-6\\\\\underline{a_n=6n-3}                        

and:

   a_{50}=6\cdot50-3=300-3=297

5 0
2 years ago
Suppose we have three urns, namely, A B and C. A has 3 black balls and 7 white balls. B has 7 black balls and 13 white balls. C
professor190 [17]

Answer:

a. 11/25

b. 11/25

Step-by-step explanation:

We proceed as follows;

From the question, we have the following information;

Three urns A, B and C contains ( 3 black balls 7 white balls), (7 black balls and 13 white balls) and (12 black balls and 8 white balls) respectively.

Now,

Since events of choosing urn A, B and C are denoted by Ai , i=1, 2, 3

Then , P(A1 + P(A2) +P(A3) =1 ....(1)

And P(A1):P(A2):P(A3) = 1: 2: 2 (given) ....(2)

Let P(A1) = x, then using equation (2)

P(A2) = 2x and P(A3) = 2x

(from the ratio given in the question)

Substituting these values in equation (1), we get

x+ 2x + 2x =1

Or 5x =1

Or x =1/5

So, P(A1) =x =1/5 , ....(3)

P(A2) = 2x= 2/5 and ....(4)

P(A3) = 2x= 2/5 ...(5)

Also urns A, B and C has total balls = 10, 20 , 20 respectively.

Now, if we choose one urn and then pick up 2 balls randomly then;

(a) Probability that the first ball is black

=P(A1)×P(Back ball from urn A) +P(A2)×P(Black ball from urn B) + P(A3)×P(Black ball from urn C)

= (1/5)×(3/10) + (2/5)×(7/20) + (2/5)×(12/20)

= (3/50) + (7/50) + (12/50)

=22/50

=11/25

(b) The Probability that the first ball is black given that the second ball is white is same as the probability that first ball is black (11/25). This is because the event of picking of first ball is independent of the event of picking of second ball.

Although the event picking of the second ball is dependent on the event of picking the first ball.

Hence, probability that the first ball is black given that the second ball is white is 11/25

​​

8 0
2 years ago
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