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3 years ago

10

What is 23/2 converted into a mixed numeral

1 answer:

Cerrena [4.2K]3 years ago

4 0

Answer:

11 1/2

Step-by-step explanation:

22 divided by 2 is 11, and there is 1 left over. So that is 1/2. The mixed number is 11 1/2

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If the sales tax rate is 7.52% in California, then how much would you pay in Los Angeles for a coat that costs $120.00?

taurus [48]

Answer:

$129.02

Step-by-step explanation:

$120 multiplied by the sales tax 1.0752 = $129.024; Round .024 to the nearest tenths to get .02

7 0

3 years ago

Please solve 5 f <br> (Trigonometric Equations)<br> #salute u if u solved it

Zanzabum

Answer:

$\beta=45\degree\:\:or\:\:\beta=135\degree$

Step-by-step explanation:

We want to solve $\tan \beta \sec \beta=\sqrt{2}$ , where $0\le \beta \le360\degree$ .

We rewrite in terms of sine and cosine.

$\frac{\sin \beta}{\cos \beta} \cdot \frac{1}{\cos \beta} =\sqrt{2}$

$\frac{\sin \beta}{\cos^2\beta}=\sqrt{2}$

Use the Pythagorean identity: $\cos^2\beta=1-\sin^2\beta$ .

$\frac{\sin \beta}{1-\sin^2\beta}=\sqrt{2}$

$\implies \sin \beta=\sqrt{2}(1-\sin^2\beta)$

$\implies \sin \beta=\sqrt{2}-\sqrt{2}\sin^2\beta$

$\implies \sqrt{2}\sin^2\beta+\sin \beta- \sqrt{2}=0$

This is a quadratic equation in $\sin \beta$ .

By the quadratic formula, we have:

$\sin \beta=\frac{-1\pm \sqrt{1^2-4(\sqrt{2})(-\sqrt{2} ) } }{2\cdot \sqrt{2} }$

$\sin \beta=\frac{-1\pm \sqrt{1^2+4(2) } }{2\cdot \sqrt{2} }$

$\sin \beta=\frac{-1\pm \sqrt{9} }{2\cdot \sqrt{2} }$

$\sin \beta=\frac{-1\pm3}{2\cdot \sqrt{2} }$

$\sin \beta=\frac{2}{2\cdot \sqrt{2} }$ or $\sin \beta=\frac{-4}{2\cdot \sqrt{2} }$

$\sin \beta=\frac{1}{\sqrt{2} }$ or $\sin \beta=-\frac{2}{\sqrt{2} }$

$\sin \beta=\frac{\sqrt{2}}{2}$ or $\sin \beta=-\sqrt{2}$

When $\sin \beta=\frac{\sqrt{2}}{2}$ , $\beta=\sin ^{-1}(\frac{\sqrt{2} }{2} )$

$\implies \beta=45\degree\:\:or\:\:\beta=135\degree$ on the interval $0\le \beta \le360\degree$ .

When $\sin \beta=-\sqrt{2}$ , $\beta$ is not defined because $-1\le \sin \beta \le1$

4 0

3 years ago

Convert 340 centimeters into inches. Round your answer to the nearest whole number.

Nana76 [90]

Answer:

isdkdwefikewsgfjyntjnt

Step-by-step explanation:

6 0

3 years ago

What is the slope of the line that contains the points (-4,47) and (2,-16)?

EastWind [94]

The slope of the line is -10.5.

3 0

3 years ago

The total amount of water a tank can hold is 14 1/2 gallons. Raul wants to find out how many 1 1/4-gallon buckets of water can b

jasenka [17]

Total amount of water is 14 1//2 gallons:

14 1/2 = 29/2

To find how many 11/4 gallon buckets fit in a 29/2 gallons water tank:

29/2 ÷ 11/4

which is also equal to:

29/2 × 4/11

Multiply numerators: 29 × 4 = 116
Multiply denominators: 2 × 11 = 22

Number of buckets = 116/ 22 or 5 6/22 gallons

If option is in decimal, it is: 5.2727 gallons

8 0

3 years ago

Read 2 more answers