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ICE Princess25 [194]
3 years ago
7

Which set of ordered pairs that satisfy the equation

Mathematics
1 answer:
krok68 [10]3 years ago
5 0

Answer:

3

Step-by-step explanation:

3

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Convert the polar representation of this complex number into its standard form z=4(cos150+isin150).
Katen [24]

Answer:

B

Step-by-step explanation:

Using the exact values

cos150° = - cos30° = - \frac{\sqrt{3} }{2}

sin150° = sin30° = \frac{1}{2}

Given

z = 4(cos150° + isin150° ) , substitute values

  = 4(- \frac{\sqrt{3} }{2} +  \frac{1}{2}i )

  = - 2\sqrt{3} + 2i , that is

(- 2\sqrt{3}, 2 ) → B

7 0
3 years ago
To make 100g of jam you need 57g
asambeis [7]

Answer:

The ratio of blackberries to sugar is 13 : 56 or 13/56, which is already in the in the simplest form.

Step-by-step explanation:

As we have to make 100g of jam

so

  • Amount of strawberries = 57g
  • Amount of blackberries = 13g

Thus

The amount of sugar needs to be added to the mixture: 100 - (57 - 13) = 56g

Therefore, the ratio of blackberries to sugar is 13 : 56 or 13/56, which is already in the in the simplest form.

8 0
3 years ago
The sum of two consecutive integers is 37. Write an equation that models this situation and find the values of the two integers.
gizmo_the_mogwai [7]
n+n+1=37\\
2n=36\\
\boxed{n=18}\\
\boxed{n+1=19}
5 0
3 years ago
Read 2 more answers
At a basketball​ game, a team made 54 successful shots. They were a combination of​ 1- and​ 2-point shots. The team scored 93 po
Zepler [3.9K]

Answer:

iwillanswer

Genius

4.3K answers

14.6M people helped

17 one point shots and 39 two point shots were made

Solution:

Given that,

At a basketball​ game, a team made 56 successful shots

They were a combination of​ 1- and​ 2-point shots

Let "x" be the number of 1 point shots

Then, 56 - x is the number of two point shots

The team scored 95 points in all

Therefore,

1(number of 1 point shots) + 2(number of two point shots) = 95

x + 2(56 - x) = 95

x + 112 - 2x = 95

x = 112 - 95

x = 17

Then, number of two point shots = 56 - x = 56 - 17 = 39

Thus 17 one point shots and 39 two point shots were made

8 0
3 years ago
The surface area of a rectangular prism with length l, width w, and height h is given by the expression 2lw+2lh+2wh. Write an eq
Yuki888 [10]

Answer:

2(lw+lh+wh)

Step-by-step explanation:

2(lw+lh+wh) using distributive property

4 0
2 years ago
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