Solve one and three fourths times two fourths.

Mathematics

2 answers:

Marrrta [24]3 years ago

5 0

Answer:

1 3/4 * 2/4

= 7/4 * 2/4

= 7/4 * 1/2

= 7/8

KATRIN_1 [288]3 years ago

4 0

Answer:A/14/16

Step-by-step explanation:

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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

A submarine travels N45 W 16 miles. It then turns a course of 216 measured clockwise off of due north and travels until it is du

lozanna [386]

Answer:

19.5 miles

Step-by-step explanation:

The question is represented in the image attached.

∠A = 45°, ∠B = 45° + (216° - 180°) = 81°

∠A + ∠B + ∠C = 180° (sum of angles in a triangle)

45° + 81° + ∠C = 180°

126 + ∠C = 180