Write the repeating decimal as a fraction. 6.259.

Can anyone help me with this problem ?

Mrac [35]

Answer:

C

Step-by-step explanation:

If you simplify your other ratios they all equal to 8/3

This tells you that your new ratio should also be 8/3

A common factor of 24 and 9 is 3

After you divide each number by 3 you get 8/3

A common factor of 32 and 12 is 4

After you divide each number by 4 you get 8/3

For x you know that common factor of x and 15 has to be 5 in order to simplify 15 to 3

Multiply x/5 = 8 (your simplified equation)

40/5 =8

5 0

3 years ago

HELPPPPPPPP In WXY, y=690 cm, w=440 cm and angle X=163°. Find angle W to the nearest degree

Ede4ka [16]

Answer:

The angle W is approximately 7°.

Step-by-step explanation:

Since angle X is adjacent to sides y and w and opposite to side x, we calculate the length of side x by Law of the Cosine:

$x = \sqrt{y^2+w^2-2\cdot y\cdot w \cdot \cos X}$ (1)

Where:

$y, z$ - Side lengths, in centimeters.

$W$ - Angle, in sexagesimal degrees.

If we know that $y = 690\,cm$ , $w = 440\,cm$ and $X = 163^{\circ}$ , then the length of the side x is:

$x = \sqrt{y^2+w^2-2\cdot y\cdot w \cdot \cos X}$

$x\approx 1118.199\,cm$

By Geometry we know that sum of internal angles in a triangle equals 180°. If X is an obtuse, then Y and W are both acute angles. By Law of the Sine we find angle W:

$\frac{x}{\sin X}= \frac{w}{\sin W}$ (2)

$\sin W = \left(\frac{w}{x} \right)\cdot \sin X$

$W = \sin^{-1}\left[\left(\frac{w}{x} \right)\cdot \sin X\right]$

If we know that $X = 163^{\circ}$ , $w = 440\,cm$ and $x\approx 1118.199\,cm$ , then the angle W is:

$W = \sin^{-1}\left[\left(\frac{w}{x} \right)\cdot \sin X\right]$

$W \approx 6.606^{\circ}$

Hence, the angle W is approximately 7°.

3 0

3 years ago

Fill in the blank with a symbol that makes this statement true please help with my homework

nekit [7.7K]

2.5=2 1/2 = 5/2
2/5 = 0.4
bring to decimals 2.5 >0.4
because by dropping the decimal points we gave 25>4
compering by fraction 2 1/2 = 5/2
2/5
bring to a common denominator of 10 5(5) / 2(5); 2(2) / 5(2)=>
25/10; 4/10
compare numerators 25>4

3 0

4 years ago

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Dans 33 ans, Sarah aura le quadruple de son âge actuel. Quel âge a-t-elle aujourd'hui ?

Oduvanchick [21]

Answer:

Step-by-step explanation:

6 0

3 years ago

Find the area of the triangle formed by the origin and the points of intersection of the parabolas with equations y=−3x2+20 and

sergejj [24]

Answer:

Area = 21 unit²

Step-by-step explanation:

We have one point of triangle = (0,0)

The other points can be solved, intersection means

−3x²+20 = x²−16

4x² = 36

x² = 9

x = ±3

when x = 3, y = 3²−16 = 9 -16 = -7 , point is (3,-7)

when x = -3, y = (-3)²−16 = 9 -16 = -7 , point is (-3,-7)

We need to find area of triangle with points (0,0), (3,-7) and (-3,-7).

Area of triangle is given by

$Area =\frac{1}{2}\begin{vmatrix}0 & 0 & 1\\ 3 & -7 & 1\\ -3 & -7 & 1\end{vmatrix}$

$Area = \frac{1}{2}\left ( 0(-7\times 1-(1\times -7))-0(3\times 1-(1\times -3))+1(3\times -7-(-3\times -7)\right )\\\\Area =\frac{1}{2}(-21-21)=-21=21unit^2$

Area = 21 unit²

5 0

3 years ago

Read 2 more answers