A right pyramid has a regular hexagon as a base. The slant height is 20, and the perimeter of its base is 10. What is the lateral surface area of the pyramid

Answers

Answer 1
Answer:

Answer:

100 unit^2

Step-by-step explanation:

lateral surface area of right pyramid = .5*p*s

p = perimeter

s = slant ht

LS = 100 unit^2


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A jar contains 6 chocolate chip cookies and 9 peanut butter cookies. Richard grabs 3 cookies at random to pack in his lunch. What is the probability that he drew 2 chocolate chip cookies and 1 peanut butter cookie?

Answers

The answer is 0.096.


To calculate this, a multiplication rule is used. The multiplication rule calculates the probability that both of two events will occur.


There are in total 15 cookies in the jar:
chocolate chip cookies + 9 peanut butter cookies = 15 cookies


The probability to drew 1 chocolate chip cookie is: P_1= (6)/(15) = (2)/(5)
The probability to drew 1 peanut butter cookie is: P_2= (9)/(15) = (3)/(5)


In this example, we have three events occurring together:
1. The probability that he drew 1 chocolate chip cookie: P_1= (2)/(5)
2.The probability that he drew 1 chocolate chip cookie: P_1= (2)/(5)
3. The probability that he drew 1 peanut butter cookie: P_2= (3)/(5)


By using the multiplication rule, the probability that he drew 2 chocolate chip cookies and 1 peanut butter cookie is 0.096:
P=P_1*P_1*P_3= (2)/(5) * (2)/(5) * (3)/(5) = (2*2*3)/(5*5*5) = (12)/(125) = 0.096

Evaluate the expression

Answers

Answer: 85

Step-by-step explanation:

To solve this problem, we want to use the order of operations, or PEMDAS.

Parenthesis

Exponent

Multiply

Divide

Add

Subtract

To be more specific, you evaluate the expression in the order from top to bottom. To clarify, it is multiply OR divide, depending on which comes first, left to right. This also applies to add OR subtract.

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20÷(5-3)+5²(3)                              [solve parenthesis]

20÷(2)+5²(3)                                 [solve exponent]

20÷2+25(3)                                   [solve multiply or divide, left to right]

10+75                                             [solve add or subtract]

85

Answer:

85

Step-by-step explanation:

To evaluate the expression, follow the rule of PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition and Subtraction.

20 / (5-3) +5^2(3)

Solve inside the parentheses first by subtracting 3 from 5.

5-3 = 2

20 / (2) +5^2(3)

Next, evaluate the exponent.

5² = 5*5= 25

20 / 2+25(3)

Next, multiply 25 and 3.

25 *3 =75

20 / 2+75

Then, divide 20 by 2.

20/2=10

10+75

Finally, add 10 and 75.

85

The expression 20 / (5-3) +5^2(3) evaluated is 85.

A package of 3 pairs of insulated socks costs $23.37. What is the unit price of the pairs of socks?The unit price is $_
per pair of socks.
PLEASE QUICK QUICK

Answers

Answer:

The unit price is 7.79

Step-by-step explanation:

To find the unit price, you should divide what the money is by how many pairs the package has. So for this problem it would mean the equation would be 23.27/3 and the answer is 7.79.

Point A, located at (-5, 0), is rotated 90°. What are the coordinates of point A'?

Answers

Answer:

(0 -5)

i hope this helps

WOULD YOU RATHER use a coupon for $20 off 10of your order OR use a coupon for 20% off of your order?Use mathematics to justify your answer.

Answers

Answer:

Well it would depend on the price

Step-by-step explanation:

if it was for $100 item , these are the same but, if its more, the 20% will be higher off the bigger the price

so I would much rather have 20% off for and item more than 100 dollars and prefer 20$ off to something under a $100

Point C is located at (1, 2) and point D is located at (−4, −2). Find the y value of the point that is 1 over 4 the distance from point C to point D.1

0

1.5

2.25

Answers

If we use similar triangles ( as shown in the attachment ) we will see that the line CM is also  1/4 *( yC-yD)= 1/4*(2+2) = 1/4*4 =1
Answer: y-value of that point is A) y=1.
Hello,

A=middle of [CD] =((1-4)/2,(2-2)/2)=(-3/2,0)
B=middle of [CA]=((1-3/2)/2,(2+0)/2)=(-1/4,1)

Value of y=1

Answer A