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alisha [4.7K]
2 years ago
8

How to place 5/3 on a number line

Mathematics
2 answers:
finlep [7]2 years ago
7 0

Answer:

Step-by-step explanation:

Convert improper fraction to mixed fraction.

\dfrac{5}{3}=1\dfrac{2}{3}

1 2/3 is between 1 and 2. denominator is three. Divide into 3 parts.

german2 years ago
5 0

Step-by-step explanation:

the answer is in the image above

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Given the equation f(x) = (x + 3)2 – 8, fill in the blanks:
Neko [114]
Quadratic f(x) = (x -h)² +k has vertex (h, k) and axis of symmetry x=h. When k is negative, the number of real solutions is 2, because both branches of the function cross the x-axis.

In your equation, h = -3 and k = -8.

Axis of symmetry: x = -3
Vertex: (-3, -8)
Number of real solutions: 2

4 0
3 years ago
 Find sin2x, cos2x, and tan2x if sinx=-15/17 and x terminates in quadrant III
vodka [1.7K]

Given:

\sin x=-\dfrac{15}{17}

x lies in the III quadrant.

To find:

The values of \sin 2x, \cos 2x, \tan 2x.

Solution:

It is given that x lies in the III quadrant. It means only tan and cot are positive and others  are negative.

We know that,

\sin^2 x+\cos^2 x=1

(-\dfrac{15}{17})^2+\cos^2 x=1

\cos^2 x=1-\dfrac{225}{289}

\cos x=\pm\sqrt{\dfrac{289-225}{289}}

x lies in the III quadrant. So,

\cos x=-\sqrt{\dfrac{64}{289}}

\cos x=-\dfrac{8}{17}

Now,

\sin 2x=2\sin x\cos x

\sin 2x=2\times (-\dfrac{15}{17})\times (-\dfrac{8}{17})

\sin 2x=-\dfrac{240}{289}

And,

\cos 2x=1-2\sin^2x

\cos 2x=1-2(-\dfrac{15}{17})^2

\cos 2x=1-2(\dfrac{225}{289})

\cos 2x=\dfrac{289-450}{289}

\cos 2x=-\dfrac{161}{289}

We know that,

\tan 2x=\dfrac{\sin 2x}{\cos 2x}

\tan 2x=\dfrac{-\dfrac{240}{289}}{-\dfrac{161}{289}}

\tan 2x=\dfrac{240}{161}

Therefore, the required values are \sin 2x=-\dfrac{240}{289},\cos 2x=-\dfrac{161}{289},\tan 2x=\dfrac{240}{161}.

7 0
2 years ago
James gave Robert half a candy bar. Robert gave his sister half of what he had. What fraction of the whole candy bar did Robert
Evgesh-ka [11]

Answer:

1/4

25%

Step-by-step explanation:

Robert has 1/2 of the candy bar

If he gave his sister half, she has 1/2 x 1/2 = 1/4 of the candy bar

To convert 1/4 to percentage, multiply by 100

1/4 x 100 = 25%

7 0
3 years ago
Which expression is equivalent to 3m1-m?<br> A) 2+m-1+m<br> B) 1+m<br> C) 3m-1<br> D) 3m
valkas [14]

Answer:

C

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Malcolm bought 6 bowls for $13.20. whats the unit rate<br><br><br> need the work
Whitepunk [10]
Hello!

You have to find the cost of one bowl

To find this you take the cost of all the bowls and divide it by the amount of bowls

13.20 / 6 = 2.2

The answer is $2.20

Hope this helps!
8 0
3 years ago
Read 2 more answers
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