The surface area of a triangular prism is 60 square centimeters. What is the surface area of a similar prism that is smaller by a scale factor of 1 5th

Answers

Answer 1
Answer: If the scale factor for linear dimensions is 1/5, the scale factor for area dimensions is (1/5)² = 1/25.

The surface area of the smaller prism is
   (60 cm²)*(1/25) = 2.4 cm²

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Combine like terms to simplify the expression.

−4p+(−6p)

Answers

Answer:

- 10p

Step-by-step explanation:

We know that,

( - ) × ( - ) = ( + )

( - ) × ( + ) = ( - )

( + ) × ( + ) = ( + )

Accordingly, let us solve the above expression.

- 4p + ( - 6p )

Solve the brackets.

- 4p - 6p

Combine like terms.

- 10p

Answer: - 10p

Step-by-step explanation A common technique for simplifying algebraic expressions. When combining like terms, such as 2x and 3x, we add their coefficients. For example, 2x + 3x = (2+3)x = 5x.

Confused, and there's a test tomorrow. "Write (5+ 2yi) (4-3i)- (5-2yi) (4-31) in a a + bi form, where y is a real number"

Answers

Answer:

  12y +16yi

Step-by-step explanation:

The thing about complex numbers is that you can treat them as binomials and use all of the things you know about multiplying and factoring polynomials.

Here, we assume you have ...

  (5 +2yi)(4 -3i) -(5 -2yi)(4 -3i)

The factor (4 -3i) can be factored out, so you have ...

  = ((5 +2yi) -(5 -2yi))(4 -3i)

  = (4yi)(4 -3i)

  = 16yi -12yi²

At this point, the definition of i comes into play, and you replace i² with -1.

  = 12y +16yi

What is a real number?

Answers

Real numbers are all irrational and rational numbers. These are all the numbers on the number line that represent a quantity of some sort.

Real number is number that can be found on the number line. This includes both the rational and irrational numbers.

The truck driver drives for 2 1/5 days to complete one delivery. How many days will the truck driver drive to complete 6 deliveries?

Answers

2 1/5 x 6
11/5 x 6/1
13.2 days 

What value of k makes the statement true? –(k + 12) = 6 + (–12)A.
–18

B.
–6

C.
6

D.
18

Answers

the answer is B.if you solve the other sideit will give -6 which is B

9 mountain bikers are on bicycle trip in how many possible ways can they follow each other

Answers

ok one way is slot method
9 slots
1st slot-9 possible people
2nd slot- 8 people (1 went to 1st slot
3rd slot-7
4th- 6
5th-  5
6th- 4
7th- 3
8th-2
9th-1

so multiply them
9*8*7*6*5*4*3*2*1= 362880

362,880 ways

We could have  9 ways to pick the leader x 8 ways to pick the second place rider x 7 ways to pick the third place rider, etc.

So

9 x 8 x 7 x .....x  3 x 2 x 1  = 9!  = 362880  ways to arrange them