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Dmitrij [34]
3 years ago
6

Use the distance formula to find The distance between the points (-1 ,3) and (2,6) write you answear as a square root, do not gi

ve me the decimal

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
6 0

Answer:

d = 3\sqrt{2}

Step-by-step explanation:

The distance formula is d = \sqrt{(x_{2}-x_{1})^{2}+(y_{2}  -y_{1} )^{2}   }

Plug in the points.

d = \sqrt{(2-(-1))^{2}+(6  -3 )^{2}   }

Solve

d = \sqrt{18}

Simplify by separating 18 into 9x2

d = \sqrt{9(2)}

Take the square root of 9 to finish simplifying

d = 3\sqrt{2}

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Convert the polar representation of this complex number into its rectangular form: z=4(cos120 + isin 120)
Yakvenalex [24]

Answer:

The answer is D

Step-by-step explanation:

took the test

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3 years ago
A bag of tokens contains 9 red, 6 green, and 5​ blue tokens. What is the probability that a randomly selected token is red and g
german

Answer:

27/200

Step-by-step explanation:

Knowing that:

A bag of tokens contains 9 red, 6 green, and 5​ blue tokens. What is the probability that a randomly selected token is red and green?

Solve:

and = multiply

Total = 9 red + 6 green + 5 blue = 9 + 6 + 5 = 20

Total = 20 token

Thus,

There are 9 red and 6 green..

Hence,

9 out of 20 is red

6 out of 20 is green

Equation

9/20 × 6/20

Multiply Across:

9 × 6 = 54

20 × 20 = 400

54/400

Simplify

27/200

Therefore, the probability that a randomly selected token is red and green is 27/200.

<u><em>~Lenvy~</em></u>

6 0
2 years ago
Read 2 more answers
Carlos is making three cakes. One cake requires 3/4 of a cup sugar. How much sugar will he need to make all three cakes?
Natali [406]

Answer:B.9/12

Step-by-step explanation:

7 0
3 years ago
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Heeeellllppppppp it’s math
vitfil [10]

Answer:

32

Step-by-step explanation:

angel A= AngelC ( due to isosceles triangle)

now,

angel A+ Angel B + Angel C = 180° ( sum of the three angles of triangle is 180°)

74°+angle B+ 74° = 180°

148° + Angel B = 180°

angel B = 180° - 148°

therefore, Angel B = 32

3 0
3 years ago
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A local clothing store sells jeans and shirts. The store makes a $10 profit on the sale of jeans and $3 profit on the sale of th
Zepler [3.9K]

Answer:

An inequality to model the situation is :   ( 10 m +  3 n)  ≥  150

Here, m : The number of jeans sold

          n : The number of shirts sold.

Step-by-step explanation:

Here, the profit on each sale of jeans = $ 10

The profit on each sale of shirt = $ 3

The profit needed to be made = AT LEAST $150

Now, here: Let us assume the number of jeans sold  = m

And, The number of shorts sold  =n

So, the profit on m jeans = m  x ( Profit on 1 jeans) = m x ( $ 10)  = 10 m

So, the profit on n shirts = n  x ( Profit on 1 shirt) = n x ( $ 3)  = 3 n

⇒ The total profit on m jeans + n shirts  = ( 10 m +  3 n)

But, according to the question, the profit should AT LEAST $150.

⇒ TOTAL PROFIT  ≥ $ 150

⇒  ( 10 m +  3 n)  ≥  150

Hence, an inequality to model the situation is :   ( 10 m +  3 n)  ≥  150

3 0
4 years ago
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