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3 years ago

Maria makes a fruit salad. The table shows the amounts of different kinds of fruit that she uses.

Mathematics

1 answer:

Elena-2011 [213]3 years ago

3 0

Your answer is 3 1/4

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Express the complex number in trigonometric form. 3 - 3i radians pls

belka [17]

$\bf \begin{array}{llll}
3&-&3i\\
\uparrow &&\uparrow \\
a&&b
\end{array}\qquad 
\begin{cases}
r=\sqrt{a^2+b^2}\\
\theta=tan^{-1}\left( \frac{b}{a} \right)
\end{cases}\\\\
-----------------------------\\\\
r=\sqrt{3^2+3^2}\implies r=\sqrt{18}\implies r=3\sqrt{2}
\\\\\\
tan(\theta)=\cfrac{3}{3}\implies tan(\theta)=1\implies \measuredangle \theta=tan^{-1}(1)
\\\\\\
\measuredangle \theta=\frac{\pi }{4}\impliedby \textit{reference angle}$

now, b is -3, and a is 3
or in rectangular if you wish, y = -3 and x = 3.... on what quadrant is "y" negative and "x" positive? well, the 4th quadrant
so, using our reference angle, that'd be $\bf \cfrac{7\pi }{4}\quad or \quad -\cfrac{\pi }{4}$

so, let's use the first one

$\bf (3,3i)\implies 
\begin{array}{llll}
r[cos(\theta)+i\ sin(\theta)]\\\\
3\sqrt{2}\left[ cos\left( \frac{7\pi }{4} \right)+i\ sin\left( \frac{7\pi }{4} \right) \right]
\end{array}$

5 0

3 years ago

DIRECTIONS: Use this information to answer Parts A and B.

jasenka [17]

Answer:

Step-by-step explanation:

Yes; In every column the ratio cost to weight is equivalent to the unit rate of $3.50 per pound.

3 0

3 years ago

Write 6 1 2 as an improper fraction.

kompoz [17]

Answer:

13/2

Step-by-step explanation:

you do 6*2=12+1=13 which gives ya 13/2

you keep the denominator

3 0

4 years ago

Find the odds for and the odds against the event rolling a fair die and getting a 4, a 5,or a 1

Artyom0805 [142]

Answer: A 50% chance or 1/2 chance for each.

Step-by-step explanation: You did not state how many sides are on the die, but I am going to assume a standard 6 sided die in my answer. You stated 3 numbers (4, 5, and 1) and 3 numbers on a 6 sided die are 1/2 or a 50% chance.

4 0

4 years ago

Four friends purchase a pineapple for $2.89 and 18.4 pounds of peaches. The peaches cost $1.75 per pound. The friends share the

tester [92]

Answer:

$8.77

Step-by-step explanation:

Total cost = 2.89 + 18.4*1.75

= 2.89 + 32.2

= $35.09

Amount paid by each person = $35.09/4

= $8.77

3 0

3 years ago

Read 2 more answers