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Komok [63]
3 years ago
9

Write 2.1 (periodic decimal, only 1 repeats) as a mixed number. Show your work.

Mathematics
2 answers:
zvonat [6]3 years ago
8 0

Answer:

2 1/10

Step-by-step explanation:

.1 is the same as 1/10 and the 2 is well a normal boring 2

garri49 [273]3 years ago
7 0

Answer:  2 1/9 is the mixed number that  is equivalent to 2.1111 repeating

Step-by-step explanation:

Try dividing 1÷9 on a calculator to get the decimal value of 1/9.

Then just keep 2 as the whole number in front of the fraction.

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Can someone show me how to factor this please?
Alex_Xolod [135]

Answer:

\displaystyle \theta = \left\{\frac{7\pi}{6}, \, \frac{3\pi}{2}, \frac{11\pi}{6}\right\}

Step-by-step explanation:

We want to solve the equation:

2\sin ^2 \theta + 3\sin \theta + 1 = 0

In the interval [0, 2π).

Notice that this is in quadratic form. Namely, by letting u = sin(θ), we acquire:

\displaystyle 2u^2 + 3u + 1 = 0

Factor:

\displaystyle (2u+1)(u+1) = 0

By the Zero Product Property:

\displaystyle 2u + 1 = 0\text{ or } u + 1 = 0

Solve for each case:

\displaystyle u = -\frac{1}{2} \text{ or } u = -1

Back-substitute:

\displaystyle \sin \theta = -\frac{1}{2} \text{ or } \sin \theta =-1

Use the Unit Circle. Hence, our three solutions in the interval [0, 2π) are:

\displaystyle \theta = \left\{\frac{7\pi}{6}, \, \frac{3\pi}{2}, \frac{11\pi}{6}\right\}

8 0
3 years ago
A retired math teacher takes his grandson shopping. He tells his grandson that they can spend x
leva [86]

Answer:

Addition, 83.6

Step-by-step explanation:

x - 72.6 = 11, x = 83.6

The grandson must add 72.6 to both sides to solve for x.

4 0
3 years ago
Solve using the quadratic frmula 2x^2-5x=3
Mnenie [13.5K]

2x2−5x=3

I think the first step would be to

Subtract 3 from both sides

2x2−5x−3=3−3

2x2−5x−3=0

Then

For this equation: a=2, b=-5, c=-3

2x2+−5x+−3=0

Lastly you would

Use quadratic formula with a=2, b=-5, c=-3

I think your answer would then have to be...

x = 3 or x =  −1 /2

4 0
3 years ago
Read 2 more answers
What is the volume of the box pictured below?
SpyIntel [72]

Answer:

The volume of the box is 3/4 cubic meters.

Step-by-step explanation:

We know that volume = length * width * height. We have length, width, and height already, so all we have to do is multiply.

5/6 * 1 1/8 * 4/5. First we convert 1 1/8 from a mixed fraction, to give us 9/8, as 8/8 = 1.

5/6 * 9/8 * 4/5. 5 * 9 = 45, and 6 * 8 = 48. 45/48 reduces to 15/16.

15/16 * 4/5. 15 * 4 = 60, and 16 * 5 = 80. 60/80 reduces to 6/8, which reduces to 3/4.

8 0
3 years ago
Read 2 more answers
What’s is the length of the lower base, ZX? And Which angle has a sine ratio of 4/5?
PilotLPTM [1.2K]

1. YX = 8√3/tan60° = 8

so ZX = ZY + YX = 10 + 8 = 18

2. angle Q

8 0
3 years ago
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