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2 years ago

Did I do this right? I’m not sure it this is right

Mathematics

2 answers:

SIZIF [17.4K]2 years ago

7 0

Yes it’s right ………………………………………..

lisabon 2012 [21]2 years ago

4 0

Yessssssssssssss!!!!!!

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g The altitude of a triangle is increasing at a rate 2 inch/hour while the area of the triangle is decreasing at a rate of 0.5 s

zubka84 [21]

Answer:

The base of the triangle is decreasing at a rate of 1.4167 inch/hour.

Step-by-step explanation:

Area of a triangle:

The area of a triangle of base b and height h is given by:

$A = bh$

In this question:

We have to derivate the equation of the area implicitly in function of time. So

$\frac{dA}{dt} = b\frac{dh}{dt} + h\frac{db}{dt}$

The altitude of a triangle is increasing at a rate 2 inch/hour while the area of the triangle is decreasing at a rate of 0.5 square inch per hour.

This means that:

$\frac{dh}{dt} = 2, \frac{dA}{dt} = -0.5$

At what rate is the base of the triangle is changing when the altitude is 6 inch and the area is 24 square inch?

This is $\frac{db}{dt}$ when $h = 6$

Area is 24, so the base is:

$A = bh$

$24 = 6b$

$b = \frac{24}{6} = 4$

Then

$\frac{dA}{dt} = b\frac{dh}{dt} + h\frac{db}{dt}$

$-0.5 = 4(2) + 6\frac{db}{dt}$

$6\frac{db}{dt} = -8.5$

$\frac{db}{dt} = -\frac{8.5}{6}$

$\frac{db}{dt} = -1.4167$

The base of the triangle is decreasing at a rate of 1.4167 inch/hour.

6 0

2 years ago

Can anyone please help me with this math puzzle game

stealth61 [152]

6. exponent
11. variable

8 0

2 years ago

Read 2 more answers

The number of measles cases has increased by 14% since 2000. Express your answer rounded correctly to the nearest hundredth. Sta

Dmitry [639]

Answer:

1.14x = 2x

x = (0.12)(1.14)x

Step-by-step explanation:

We are going to express the data in an equation form:

If x was the number of cases there was in 2000 ⇒currently there are 1.14x cases of measles.

But the question also tells us that the number of cases now is also 2 times what it was in 2000.

So we have that 1.14x = 2x

It also tells us that the number of measles back in 2000 was 12% of what it is now.

x = (.12) 1.14x

We can't really solve these equations since the problem doesn't give us any more information (I am assuming there was another part of the problem before this one that wasn't written here).

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2 years ago

-V2.25 Find the square root

horrorfan [7]

Answer: there is no number (NaN)

Step-by-step explanation:

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3 years ago

Nasrin invested $6000 in a bond at a yearly rate of 3%. She earned $450 in interest. How long was the money invested?

Alenkasestr [34]

4 years

6000 x .3 = 1,800. 1800 divided by 450 = 4

6 0

1 year ago