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3 years ago

12

If a/\2+1/a/\2=11, then a+1/a=?

1 answer:

Nadya [2.5K]3 years ago

5 0

Answer:

$\pm \sqrt{13}$

Step-by-step explanation:

$\bigg(a + \frac{1}{a} \bigg)^{2} = {a}^{2} + \frac{1}{ {a}^{2} } + 2 \times a \times \frac{1}{a} \\ \\ \bigg(a + \frac{1}{a} \bigg)^{2} = 11 + 2 \\ \\ \bigg(a + \frac{1}{a} \bigg)^{2} = 13 \\ \\ \bigg(a + \frac{1}{a} \bigg) = \pm \sqrt{13}$

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2 years ago

here are several types of objects. For each type of object, estimate how many there are in a stack that is 5 feet high. Be prepa

lorasvet [3.4K]

We need to estimate how tall is, on average, one of these object, and then count how many would be in a 5 feet high stack.

For example, on Google you may see that "1.5 cubic foot boxes are the standard box, manufactured by most companies". So, we assume that a standard cardboard box is 1.5 feet tall.

So, if we set the equation

$1.5k = 5 \iff k=\dfrac{5}{1.5}=3.\bar{3}$

So, there would be between 3 and 4 cardboard boxes in a 5 feet tall stack.

Similarly, we can see that the average book is 9 inches tall. 9 inches are 0.75

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So, there would be between 6 and 7 books in a 5 feet tall stack.

The average brick is 75 millimeters tall, which means 0.25 feet tall. Again, we have

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Finally, a coin is about 0.006 feet, which leads to

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3 years ago

Please help I really need help because I have to turn it in soon and yeah so comment

BartSMP [9]

Answer:

hi

Step-by-step explanation:

4- 3*1=3

6*1/100= 0.06

3+0.06= 3.06

5- 7*1= 7

3*1/10= 0.3

4*1/1,000= 0.004

7+0.3+0.004= 7.304

7- 3.3, 3.30

8- 9.3000, 9.30

9- 9.6, 9.600

10- 4.4000, 4.40

for #4-5 just put the number of 0s in the denominator of the fraction for the answer

3 0

2 years ago

Fill in the blanks to solve 48 x 8.<br> 48 x 8<br> = 40 eights + 8<br> eights

kozerog [31]

Question is:

Fill in the blanks to solve $\frac{48}{x} =8$ .

Answer:

$x = 6$

Step-by-step explanation:

Given

$\frac{48}{x} =8$

Required

Solve

Multiply both sides by x

$x * \frac{48}{x} =8*x$

$48 =8*x$

Make x the subject

$x = \frac{48}{8}$

$x = 6$

4 0

3 years ago

Write the equation of the circle in standard form: Center (7,0) R=1

Mice21 [21]

Answer:

$(x-7)^2+y^2=1$

Step-by-step explanation:

Hi there!

Equation of a circle: $(x-h)^2+(y-k)^2=r^2$ where the circle is centered at (h,k) and the radius is r

<u>1) Plug in the given center (7,0)</u>

$(x-7)^2+(y-0)^2=r^2\\(x-7)^2+y^2=r^2$

<u>2) Plug in the radius (1)</u>

$(x-7)^2+y^2=1^2\\(x-7)^2+y^2=1$

I hope this helps!

8 0

2 years ago