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tresset_1 [31]
3 years ago
6

Omar says that the least common multiple of 9 and 6 is 54. Which is true about Omar's statement?

Mathematics
2 answers:
Damm [24]3 years ago
5 0

Hey there!

Let's pull out the multiples of each number and see which ones fall in line first.

9,18

6,12,18

The LCM is 18. Therefore, answer B and D are incorrect. A is incorrect because 9 * 6 is 54. Therefore, the answer is C.

I hope this helps!

makvit [3.9K]3 years ago
3 0

Answer: c

Step-by-step explanation: while 9X6 does equal 54 it is not the least common multiple considering they both multiply into the number 18

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HELPPP PLSSSS THE PYTHAGOREAN THEOREM
maxonik [38]

Answer:

Step-by-step explanation:

a²+b² = c² c is always the longest line thats opposite to the 90 degree angle

for 1

15² + b² = 17²

b² = 17² - 15²

b = √(17² - 15²)

b= 8

8 0
2 years ago
In the triangle pictured, let A, B, C be the angles at the three vertices, and let a,b,c be the sides opposite those angles. Acc
Troyanec [42]

Answer:

Step-by-step explanation:

(a)

Consider the following:

A=\frac{\pi}{4}=45°\\\\B=\frac{\pi}{3}=60°

Use sine rule,

\frac{b}{a}=\frac{\sinB}{\sin A}
\\\\=\frac{\sin{\frac{\pi}{3}}
}{\sin{\frac{\pi}{4}}}\\\\=\frac{[\frac{\sqrt{3}}{2}]}{\frac{1}{\sqrt{2}}}\\\\=\frac{\sqrt{2}}{2}\times \frac{\sqrt{2}}{1}=\sqrt{\frac{3}{2}}

Again consider,

\frac{b}{a}=\frac{\sin{B}}{\sin{A}}
\\\\\sin{B}=\frac{b}{a}\times \sin{A}\\\\\sin{B}=\sqrt{\frac{3}{2}}\sin {A}\\\\B=\sin^{-1}[\sqrt{\frac{3}{2}}\sin{A}]

Thus, the angle B is function of A is, B=\sin^{-1}[\sqrt{\frac{3}{2}}\sin{A}]

Now find \frac{dB}{dA}

Differentiate implicitly the function \sin{B}=\sqrt{\frac{3}{2}}\sin{A} with respect to A to get,

\cos {B}.\frac{dB}{dA}=\sqrt{\frac{3}{2}}\cos A\\\\\frac{dB}{dA}=\sqrt{\frac{3}{2}}.\frac{\cos A}{\cos B}

b)

When A=\frac{\pi}{4},B=\frac{\pi}{3}, the value of \frac{dB}{dA} is,

\frac{dB}{dA}=\sqrt{\frac{3}{2}}.\frac{\cos {\frac{\pi}{4}}}{\cos {\frac{\pi}{3}}}\\\\=\sqrt{\frac{3}{2}}.\frac{\frac{1}{\sqrt{2}}}{\frac{1}{2}}\\\\=\sqrt{3}

c)

In general, the linear approximation at x= a is,

f(x)=f'(x).(x-a)+f(a)

Here the function f(A)=B=\sin^{-1}[\sqrt{\frac{3}{2}}\sin{A}]

At A=\frac{\pi}{4}

f(\frac{\pi}{4})=B=\sin^{-1}[\sqrt{\frac{3}{2}}\sin{\frac{\pi}{4}}]\\\\=\sin^{-1}[\sqrt{\frac{3}{2}}.\frac{1}{\sqrt{2}}]\\\\\=\sin^{-1}(\frac{\sqrt{2}}{2})\\\\=\frac{\pi}{3}

And,

f'(A)=\frac{dB}{dA}=\sqrt{3} from part b

Therefore, the linear approximation at A=\frac{\pi}{4} is,

f(x)=f'(A).(x-A)+f(A)\\\\=f'(\frac{\pi}{4}).(x-\frac{\pi}{4})+f(\frac{\pi}{4})\\\\=\sqrt{3}.[x-\frac{\pi}{4}]+\frac{\pi}{3}

d)

Use part (c), when A=46°, B is approximately,

B=f(46°)=\sqrt{3}[46°-\frac{\pi}{4}]+\frac{\pi}{3}\\\\=\sqrt{3}(1°)+\frac{\pi}{3}\\\\=61.732°

8 0
3 years ago
3.
bekas [8.4K]

The percent off the store should display is 27.0%

  • The initial percent off given to Matt = 20%
  • The additional percent off given to Matt = 7%

The percent off the store should display is the total percent off given to their product. That is, the addition of the first and second percent off.

The total percent off the store gave to Matt is calculated as;

= 20% + 7%

= 27%

To the nearest tenth of a percent = 27.0%

Thus, the percent off the store should display is 27.0%

Learn more here: brainly.com/question/16956055

3 0
2 years ago
Please help and explain.
REY [17]

Answer:

Domain: All real numbers greater than or equal to 1.

Step-by-step explanation:

Answer 1: -14 is not in the domain

Answer 2: 4 is included in the domain

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Madison has three jobs. This week she earned $124 waitressing, $30 delivering packages, and $46 babysitting. What percent of her
Likurg_2 [28]

Answer:

23%

Step-by-step explanation:

7 0
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