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3 years ago

8

When Akiko measured a rose, its height was 5.8 in. After 10 weeks, the height was 1 1/3 times the original height. What was the

height of the rose after 10 weeks?

1 answer:

kramer3 years ago

8 0

The solution is in the attachment

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The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cm^2/

VARVARA [1.3K]

Answer:

The base is decreasing at 2 cm/min.

Step-by-step explanation:

The area (A) of a triangle is given by:

$A = \frac{1}{2}bh$ (1)

Where:

b: is the base

h: is the altitude = 10 cm

If we take the derivative of equation (1) as a function of time we have:

$\frac{dA}{dt} = \frac{1}{2}(\frac{db}{dt}h + \frac{dh}{dt}b)$

We can find the base by solving equation (1) for b:

$b = \frac{2A}{h} = \frac{2*120 cm^{2}}{10 cm} = 24 cm$

Now, having that dh/dt = 1 cm/min, dA/dt = 2 cm²/min we can find db/dt:

$2 cm^{2}/min = \frac{1}{2}(\frac{db}{dt}*10 cm + 1 cm/min*24 cm)$

$\frac{db}{dt} = \frac{2*2 cm^{2}/min - 1 cm/min*24 cm}{10 cm} = -2 cm/min$

Therefore, the base is decreasing at 2 cm/min.

I hope it helps you!

7 0

3 years ago

A composite figure is comprised of a square and 4 semicircles. How can you decompose the composite figure to determine its area?

tangare [24]

Answer:

As a square and four semi circles

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Guys could you please help me? i will give brainliest

DedPeter [7]

Answer:

Well I don't know the choices but if there is a 7 in the hundreds place like 1,700 then it is correct.

Step-by-step explanation:

This is the answer because 70 times 10 equals 700.

3 0

3 years ago

How do you solve it?

Alchen [17]

Start by distributing the square root of 8 inside the bracket.

$\sqrt{8}(\sqrt{24} + 3\sqrt{8}) = \sqrt{8}*\sqrt{24} + 3\sqrt{8}^2$
$= \sqrt{192} + 24$
$= \sqrt{64*3} + 24 = 8\sqrt{3} + 24$
$= 8(\sqrt{3} + 3)$

6 0

3 years ago

19 is what percent of 95 (need to show how I got the answer)

Mazyrski [523]

Answer:

20%

Step-by-step explanation:

19/95 x 100/100 = 19 x 100/ 95

1/100 = 20/100

Therefore, the answer is 20%

4 0

3 years ago