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Setler79 [48]
3 years ago
8

James is 1 3/7 times as tall as his brother hois brother is 3 1/2 feet tall

Mathematics
1 answer:
Zepler [3.9K]3 years ago
4 0
James is 5 feet tall.
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Jessica has two strings. The first string measures 80 centimeters, and the second string measures 64 centimeters. She wants to c
nikdorinn [45]

Answer:

The highest common denominator between 80 and 64 is 16. This means no string can be cut longer than 16 inches for them all to have the same length.

Step-by-step explanation:

4 0
3 years ago
What is the exponential form of root 17
shusha [124]

Answer:  17^{1/2}

This is 17 to the 1/2 power

The rule is

\sqrt[n]{x} = x^{1/n}

the n is the index of the root. For square roots, n = 2, so,

\sqrt[n]{x} = x^{1/n}\\\\\sqrt[2]{17} = 17^{1/2}\\\\\sqrt{17} = 17^{1/2}\\

4 0
3 years ago
Read 2 more answers
Find the product of these complex numbers (8+6i)(-5+7i)
spayn [35]

Answer:

Step-by-step explanation:

= -40 + 56i -30i +42i

= 68i - 40

3 0
2 years ago
In the diagram below, assume that all points are given in rectangular coordinates. Determine the polar coordinates for each poin
Korolek [52]

Step-by-step explanation:

We have cartisean points. We are trying to find polar points.

We can find r by applying the pythagorean theorem to the x value and y values.

r  {}^{2} =  {x}^{2}  +  {y}^{2}

And to find theta, notice how a right triangle is created if we draw the base(the x value) and the height(y value). We also just found our r( hypotenuse) so ignore that. We know the opposite side and the adjacent side originally. so we can use the tangent function.

\tan(x)  =  \frac{y}{x}

Remeber since we are trying to find the angle measure, use inverse tan function

\tan {}^{ - 1} ( \frac{y}{x} )  =

Answers For 2,5

{2}^{2}  +  {5}^{2}  =  \sqrt{29}  = 5.4

So r=sqr root of 29

\tan {}^{ - 1} ( \frac{5}{2} )  = 68

So the answer is (sqr root of 29,68).

For -3,3

{ -3 }^{2}  +  {3}^{2}  =  \sqrt{18}  = 3 \sqrt{2}

\tan {}^{ - 1} ( \frac{3}{ - 3} )  =  - 45

Use the identity

\tan(x)  =  \tan(x + \pi)

So that means

\tan(x)  = 135

So our points are

(3 times sqr root of 2, 135)

For 5,-3.5

{5}^{2}  +  {3.5}^{2}  =  \sqrt{37.25}

\tan {}^{ - 1} ( \frac{ - 3.5}{ - 5} )  = 35

So our points are (sqr root of 37.25, 35)

For (0,-5.4)

{0}^{2}  +  { - 5.4}^{2}  = \sqrt{}  29.16 = 5.4

So r=5.4

\tan {}^{ - 1}  (0)  = undefined

So our points are (5.4, undefined)

4 0
3 years ago
The diameter of a planet is about 25,660 mi. The diameter of the planet's moon is about 35% of the diameter of the planet. What
kotegsom [21]

Answer:

4%

Step-by-step explanation:

Volume of sphere

v = (4/3)πr^3

Volume moon/ volume planet

We don't actually need the numeric value of the radius

just the 35% ratio

Radius of moon = .35 radius of planet

Vm/ Vp = (4/3)π(.35r)^3 / (4/3)π(r)^3

Cancel like terms

Vm / Vp = .35^3

Vm / Vp = 0.042875

Expressed as a percentage

Vm / Vp = 4.2875%

Rounded

Vm / Vp = 4%

4 0
3 years ago
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