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belka [17]
3 years ago
5

How do you solve 2 x 4 1/4

Mathematics
2 answers:
WINSTONCH [101]3 years ago
8 0
The answer is 8 in decimal form


belka [17]3 years ago
8 0
First convert 4 1/4 to an improper fraction. 
Do this by making sure 4 and 1/4 have the same denominator. 

4 is the same is \frac{4}{1}.
 Multiply that by four to get \frac{16}{4}.

Now that you have the same denominator, you can add them.
\frac{16}{4}+ \frac{1}{4} =\frac{17}{4}.

2 is the same as \frac{2}{1}.

Now put the two fractions next to each other and multiply the top times the top, and the bottom times the bottom.
\frac{2}{1}* \frac{17}{4}= \frac{34}{4}.

Now reduce it. To reduce, divide the problem until you can't divide it any more.
34 and 4 are divisible by 2.
\frac{34/2}{4/2}= \frac{17}{2}.

This fraction cannot be reduced any further, so \frac{17}{2} is your final answer.

Feel free to ask if you have any more questions.
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Let t = cosA + sinA<br> find values of t if <br> 2 - sin2A = 2(cosA + sinA)
Zinaida [17]

2 - \sin(2A) = 2(\cos A + \sin A)\\\\2-2\sin A\cos A=2\cos A+2\sin A\\\\2\sin A\cos A+2\cos A+2\sin A-2=0\\\\1+2\sin A\cos A+2\cos A+2\sin A-3=0\\\\\sin^2 A+\cos^2 A+2\sin A\cos A+2\cos A+2\sin A-3=0\\\\(\sin A+\cos A)^2+2\cos A+2\sin A-3=0\\\\(\sin A+\cos A)^2+2(\cos A+\sin A)-3=0\\\\\\t^2+2t-3=0\\\\t^2+2t+1-4=0\\\\(t+1)^2=4\\\\t+1=2\qquad\vee \qquad t+1=-2\\\\\\\boxed{t=1\qquad\vee\qquad t=-3}

When A\in\mathbb{R}

t=\cos A+\sin A\in[-\sqrt{2};\sqrt{2}]\approx[-1.4142;1.4142]

and there is only one answer t = 1.

For A\in\mathbb{C} both values are correct.

4 0
4 years ago
HELP PLEASE ASAP
Svetach [21]

the sample would be the number polled  - 50,000

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7 0
3 years ago
Help me please I would be so happy
NARA [144]

Answer:

5 5/6

Step-by-step explanation:


6 0
4 years ago
Read 2 more answers
a rectangle has a perimeter of 76 cm. Its length is 5 more that twice its width. The system of equation below can be use to fine
Juliette [100K]

Answer:

l=27cm and w=11cm

Step-by-step explanation:

the perimeter of a rectangle is given by the following equation:

p=2(l+w)=2l+2w

if a rectangle has a perimeter of 76cm and its length  is 5 plus the double of its width we can use a system of equations to find the length l, and the width w.

For the perimeter of the rectangle

2l+2w=76 where l is its length, and  w is its width, 76 is the perimeter of the rectangle in cm.

We know that the lengh of the rectangle is 5 plus the double of its width, writing the equation:

l=5+2w

Substituting the equation above in 2l+2w=76

2(5+2w)+2w=76\\10+4w+2w=76\\6w=76-10\\w=66/6\\w=11

We got that the rectangle width is w=11cm

Substituting w in the equation 2l+2w=76

2l+2(11)=76\\2l+22=76\\l=(76-22)/2=54/2\\l=27

We got that the rectangle length is l=27cm

Verifying the values ​​obtained

2l+2w=76 with l=27 and w=11

2(27)+2(11)=76

54+22=76

Satisfying the equation

5 0
3 years ago
Sofia is helping set up for a wedding. There are 80 chairs that need to be arranged in a room, and 60% of those chairs are still
Genrish500 [490]

Answer:

48

Step-by-step explanation:

10% of 80 is 8 and 20% is 16 so lets do 40% which is 32 60%  32+16=48  8x10=80

6 0
3 years ago
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