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valentinak56 [21]

2 years ago

10

If a is equal to 2 + root 3 upon 2 minus root 3 and b is equal to 2 minus root 3 upon 2 + root 3 then what is the value of a squ

are + b square + ab

1 answer:

natulia [17]2 years ago

8 0

<em>1</em><em>9</em><em>5</em>

Step-by-step explanation:

hxjhxjxhcbhshshsgshnxgshjsjkabshzikndbxhdhjsnsvdvgxhxjsjjsv

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Nia answered 80% of the 40 questions on a test correctly. How many correct answers did she have?

Step2247 [10]

Nia answered correct answers = 80% of the 40 questions

When we remove % sign from a number, we divide that number by 100

= $\frac{80}{100}$ of 40

= $\frac{80}{100} \times 40$

Cancelling the two zeroes from numerator and denominator,

= $8 \times 4$

= 32.

Total correct answers answered by Nia = 32

3 0

3 years ago

Read 2 more answers

The radius of a cone is increasing at a constant rate of 7 meters per minute, and the volume is decreasing at a rate of 236 cubi

storchak [24]

Answer:

The rate of change of the height is 0.021 meters per minute

Step-by-step explanation:

From the formula

$V = \frac{1}{3}\pi r^{2}h$

Differentiate the equation with respect to time t, such that

$\frac{d}{dt} (V) = \frac{d}{dt} (\frac{1}{3}\pi r^{2}h)$

$\frac{dV}{dt} = \frac{1}{3}\pi \frac{d}{dt} (r^{2}h)$

To differentiate the product,

Let r² = u, so that

$\frac{dV}{dt} = \frac{1}{3}\pi \frac{d}{dt} (uh)$

Then, using product rule

$\frac{dV}{dt} = \frac{1}{3}\pi [u\frac{dh}{dt} + h\frac{du}{dt}]$

Since $u = r^{2}$

Then, $\frac{du}{dr} = 2r$

Using the Chain's rule

$\frac{du}{dt} = \frac{du}{dr} \times \frac{dr}{dt}$

∴ $\frac{dV}{dt} = \frac{1}{3}\pi [u\frac{dh}{dt} + h(\frac{du}{dr} \times \frac{dr}{dt})]$

Then,

$\frac{dV}{dt} = \frac{1}{3}\pi [r^{2} \frac{dh}{dt} + h(2r) \frac{dr}{dt}]$

Now,

From the question

$\frac{dr}{dt} = 7 m/min$

$\frac{dV}{dt} = 236 m^{3}/min$

At the instant when $r = 99 m$

and $V = 180 m^{3}$

We will determine the value of h, using

$V = \frac{1}{3}\pi r^{2}h$

$180 = \frac{1}{3}\pi (99)^{2}h$

$180 \times 3 = 9801\pi h$

$h =\frac{540}{9801\pi }$

$h =\frac{20}{363\pi }$

Now, Putting the parameters into the equation

$\frac{dV}{dt} = \frac{1}{3}\pi [r^{2} \frac{dh}{dt} + h(2r) \frac{dr}{dt}]$

$236 = \frac{1}{3}\pi [(99)^{2} \frac{dh}{dt} + (\frac{20}{363\pi }) (2(99)) (7)]$

$236 \times 3 = \pi [9801 \frac{dh}{dt} + (\frac{20}{363\pi }) 1386]$

$708 = 9801\pi \frac{dh}{dt} + \frac{27720}{363}$

$708 = 30790.75 \frac{dh}{dt} + 76.36$

$708 - 76.36 = 30790.75\frac{dh}{dt}$

$631.64 = 30790.75\frac{dh}{dt}$

$\frac{dh}{dt}= \frac{631.64}{30790.75}$

$\frac{dh}{dt} = 0.021 m/min$

Hence, the rate of change of the height is 0.021 meters per minute.

3 0

3 years ago

It costs $38 for 2 people to go to the movie theater. 40% of the money was for snacks.What was the cost of each movie ticket?

stira [4]

Answer:

11.4

Step-by-step explanation:

40% of 38 is 15.2, 38-15.2=22.8. 22.8/2=11.4 (since there's two people)

4 0

3 years ago

Need help please!!!!

r-ruslan [8.4K]

Answer:

ggyyyuuuuuuuuuujjiiii

7 0

2 years ago

Can somebody answer this worksheet. Sorry before it didnt let me.

Ahat [919]

Answer:

1: L = 5

W = 7

2: A = lw

3: 35

4: 18

5: You have to add them up because it is 1 shape broken up into different parts.

6: 53

5 0

3 years ago