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Cloud [144]
2 years ago
8

Write a/-b in standard form

Mathematics
1 answer:
iogann1982 [59]2 years ago
7 0

Answer:

In order to write it in standard form, you need an equal sign somewhere

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In a year group there 100 boys and 140 girls. Write as a ratio the number of boy to the number of girls. Give the answer in the
expeople1 [14]

no. of boys : no.of girls

100 : 140

to get the simplest ratio you gotta divide both with a common factor

Because both 100 and 140 share a common factor of 20

the simplest ratio will be

100/20 : 140/20

5:7

5:7 is the simplest ratio

5 0
3 years ago
Read 2 more answers
Find the midpoint of the line segment with the given endpoints<br> (4,-6), (9, 6)
kotegsom [21]

Answer:

I think it's number 5 or (5,8)

Step-by-step explanation:

4 0
2 years ago
Help me on this one please​
shepuryov [24]

Answer:

The equation is set up wrong

Step-by-step explanation:

9^{2} +b^{2} =15^{2}

3 0
3 years ago
Integrate the following
enot [183]

I suppose you mean to have the entire numerator under the square root?

\displaystyle\int_2^4\frac{\sqrt{x^2-4}}{x^2}\,\mathrm dx

We can use a trigonometric substitution to start:

x=2\sec t\implies\mathrm dx=2\sec t\tan t\,\mathrm dt

Then for x=2, t=\sec^{-1}1=0; for x=4, t=\sec^{-1}2=\frac\pi3. So the integral is equivalent to

\displaystyle\int_0^{\pi/3}\frac{\sqrt{(2\sec t)^2-4}}{(2\sec t)^2}(2\sec t\tan t)\,\mathrm dt=\int_0^{\pi/3}\frac{\tan^2t}{\sec t}\,\mathrm dt

We can write

\dfrac{\tan^2t}{\sec t}=\dfrac{\frac{\sin^2t}{\cos^2t}}{\frac1{\cos t}}=\dfrac{\sin^2t}{\cos t}=\dfrac{1-\cos^2t}{\cos t}=\sec t-\cos t

so the integral becomes

\displaystyle\int_0^{\pi/3}(\sec t-\cos t)\,\mathrm dt=\boxed{\ln(2+\sqrt3)-\frac{\sqrt3}2}

7 0
3 years ago
Review of the basic stock list for your gift shop indicates that you need to reorder the following items: 12 glass vases @ $8.75
Aloiza [94]

Answer:

$291.00

hope it helps

Step-by-step explanation:

12 x 8.75 = 105

6 x 12.50 = 75

12 x 9.25 = 111

105 + 75 + 11 = 291

5 0
3 years ago
Read 2 more answers
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