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3 years ago

Write 98/12 as a mixed number in simplest form

Mathematics

2 answers:

zimovet [89]3 years ago

7 0

98/12 = 8.1(6) is a mixed number in simplest form;

IgorC [24]3 years ago

3 0

98/12 as a mixed number in simplest form is 8 1/6 To find simplest form you can divide the numerator by the denominator of the fraction. When I divided 98 by 12 I got 8.16666667. Move the decimal point twice to the right and take away the 8 for now so that you can form a new number. Now divide 100 by 16.666667. This would be 5.99999988 on a calculator. You can round your answer up to 6. Since 16.666667 is around 1/6 of 100 you can use that fraction in your answer. When we add 8 and 1/6 we should get 8 1/6. There is a way to check if we have the right fraction. Multiply your whole number by the denominator of the fraction and then add the numerator to the product. Finally put your remaining sum over the denominator. 8 x 6 = 48 + 1 = 49 49/6 = 98/12

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PLEASE ANSWER ALL I NEED HELP

aev [14]

9514 1404 393

Answer:

Step-by-step explanation:

If a vertical line can be made to intersect the graph at more than one point, the relation is not a function.

Relations 1, 3, 4, 5 have points one above another, so are not functional relations.

Relations 2 and 6 pass the vertical line test, so are functional relations.

6 0

3 years ago

if theta is in the first quadrant sin left parenthesis t h e t a right parenthesis equals 0.17 then what is tan left parenthesis

Kazeer [188]

The value of $tan\theta$ in the first quadrant is approximately 0.173.

There are 4 quadrants inside the cartesian aircraft. All trigonometric ratios of sin, cos, tan are high quality inside the first quadrant.in the 2nd quadrant simplest sin is advantageous rest are negative. within the 1/3 quadrant simplest tan is wonderful inside the fourth quadrant best cos is fantastic.

Given $sin \theta=0.17$ and $\theta$ is in the first quadrant.

We know from trigonometrical identities that

$sin^2\theta+cos^2\theta=1$

Substituting the value of $sin \theta$ in the above equation we get:

$or, (0.17)^2+cos^2\theta=1\\or,cos^2\theta=1-0.0289\\or.cos\theta=\pm\sqrt{0.9711}\\or,cos\theta=\pm 0.98544...$

As $\theta$ lies in the first quadrant then the value of $cos\theta$ is positive.

∴ $cos\theta\approx0.98544$

From the properties of trigonometry we know that :

$tan\theta=\frac{sin\theta}{cos\theta}$

$or,tan\theta=\frac{0.17}{0.98544} \\or,tan\theta=0.17251\\or,tan\theta\approx0.173$

The value of $tan\theta$ is approximately 0.173 to the nearest thousandth . The value is positive as the angle lies in the first quadrant.

To learn more about quadrant and trigonometric ratios:

brainly.com/question/7196312

#SPJ4

7 0

2 years ago

Can you help to solve this and explain how thanks in advance

gtnhenbr [62]

Hey there! :)

Answer:

Step-by-step explanation:

The pattern of this puzzle is to take the bottom two numbers of the triangle, find the sum, then divide by the top number. For example:

8 + 4 = 12 --> 12/3 = 4.

5 + 13 = 18 --> 18/6 = 3.

9 + 5 = 14 --> 14/2 = 7.

Therefore:

14 + 6 = 20 --> 20/4 = 5. The missing number is 5.

6 0

3 years ago

Read 2 more answers

Suppose you observe a star orbiting the galactic center at a speed of 1300 km/skm/s in a circular orbit with a radius of 18 ligh

laila [671]

Answer: 1.1818^37 kg

Step-by-step explanation:

Given that:

Orbit speed = 1300 km/s

Radius (r) = 18 light days

Mass of object the star is orbiting :

Using the relation :

M = rv² / G

Where ; r = Radius in m ; v = velocity in m/s

G = 6.67 * 10^-11 = gravitational constant

18 light days in meters = 4.662 * 10^14 m

v = 1300km/s to m/s

v = (1300 * 1000)m /s = 1300000 m/s = 1.3 * 10^6 m/s

Hence ;

M = (4.662 * 10^14 * (1.3 * 10^6)^2 / (2/3) * 10^-10

M = (4.662 * 10^14) * (1.69 * 10^12) / (2/3) *10^-10

M = (7.87878 * 10^26) / 6.67 * 10^-11

= 1.1818^37 kg

7 0

3 years ago

HEEEEELP PLEASE need help with some math work

gizmo_the_mogwai [7]

Option B:

The value of x is 13 because corresponding angles are congruent.

Solution:

In the given figure line k is parallel to line n, and line p intersects line q at a point located on line n.

Given m∠6 = (2x + 28)° and m∠11 = (6x – 24)°

To find which statement is true for the given details.

Option A: The value of x is 13 because adjacent angles are congruent.

∠6 and ∠11 are not adjacent angles.

Therefore the given statement is false.

Option B: The value of x is 13 because corresponding angles are congruent.

∠6 and ∠11 are corresponding angles.

If two parallel lines cut by a transversal, then the corresponding angles are congruent.

Therefore, m∠6 = m∠11

(2x + 28)° = (6x – 24)°

2x° + 28° = 6x° – 24°

24° + 28° = 6x° – 2x°

52° = 4x°

x = 13°

Therefore the given statement is true.

Option C: The value of x is 55 because adjacent angles are supplementary.

∠6 and ∠11 are not adjacent angles.

Therefore the given statement is false.

Option D: The value of x is 55 because corresponding angles are supplementary.

Corresponding angles are congruent not supplementary.

Therefore the given statement is false.

Option B is correct.

The value of x is 13 because corresponding angles are congruent.

8 0

3 years ago