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Bess [88]
2 years ago
9

Which rule describes rotating 90° counterclockwise?

Mathematics
1 answer:
Serhud [2]2 years ago
3 0
The first one answer
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The range of f(x) = 7 4x is all positive real numbers. true or false
Rudik [331]
Range of f(x) = 7 + 4x is all positive real numbers.
5 0
3 years ago
The ratio 8.4 to 4.4
Mnenie [13.5K]
Ratios can be written in multiple ways such as

a:b
a to b
a/b

So we can write yours in those three ways:

8.4:4.4
8.4 to 4.4
8.4/4.4
5 0
2 years ago
a plane flies 5.0km due north from a point O and then 6.0km on a bearing of 060° the pilot then changes course on a bearing of 1
Virty [35]

The plane flies a distance of approximately 10.536 kilometers in <em>straight</em> line and with a bearing of approximately 035°.

A plane that travels a distance r, in kilometers, with a bearing of \theta sexagesimal degrees can be represented in standard position by means of the following expression:

\vec r = r\cdot (\sin\theta, \cos \theta) (1)

We can obtain the resulting vector (\vec R) by the principle of superposition:

\vec R = \Sigma_{i=1}^{n} [r_{i}\cdot (\sin \theta_{i}, \cos \theta_{i})] (2)

If we know that r_{1} = 5\,km, \theta_{1} = 0^{\circ}, r_{2} = 6\,km, \theta_{2} = 60^{\circ}, r_{3} = 4\,km and \theta_{3} = 120^{\circ}, then the resulting vector is:

\vec R = 5\cdot (\sin 0^{\circ}, \cos 0^{\circ}) + 6\cdot (\sin 60^{\circ}, \cos 60^{\circ}) + 4\cdot (\sin 120^{\circ}, \cos 120^{\circ})

\vec R = (5\sqrt{3}, 6) \,[km]

The magnitude of the resultant is found by Pythagorean theorem:

\|\vec R\| = \sqrt{R_{x}^{2}+R_{y}^{2}}

And the bearing is determined by the following <em>inverse</em> trigonometric relationship:

\theta_{R} = \tan^{-1} \left(\frac{R_{y}}{R_{x}}\right) (3)

If we know that R_{x} = 5\sqrt{3}\,km and R_{y} = 6\,km, then the magnitude and the bearing of the resultant is:

\|\vec R\| = \sqrt{(5\sqrt{3})^{2}+6^{2}}

\|\vec R\| \approx 10.536\,km

\theta_{R} = \tan^{-1} \left(\frac{6}{5\sqrt{3}} \right)

\theta_{R} \approx 34.715^{\circ}

The plane flies a distance of approximately 10.536 kilometers in <em>straight</em> line and with a bearing of approximately 035°.

To learn more on vectors, we kindly invite to check this verified question: brainly.com/question/21925479

6 0
2 years ago
What is 7%tax of something that costs 2.99
KonstantinChe [14]
<span> For this case we can make the following rule of three:
 2.99 ----------> 100%
 x --------------> 7%
 From here, we clear the value of x.
 We have then:
</span> x = (7/100) * (2.99)&#10;
<span> Rewriting the expression we have:
</span> x = (0.07) * (2.99)&#10;&#10;x = 0.2093 $<span>
 Answer:
 The sales taxes are:
 x = 0.2093 $</span>
3 0
3 years ago
Read 2 more answers
53x458/12+758-8= +30=
natta225 [31]

Answer

2802.833

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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