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3 years ago

Why were there problems between the Spanish and apache.

Mathematics

1 answer:

Inessa05 [86]3 years ago

4 0

I'm pretty sure you're right. I got B to be the answer alsooo. Good job.

Have a good day! :D

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What is 154 plus 74 equal

Sergio [31]

154 + 74 = 228 is the answer.

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4 years ago

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Water is drained out of tank, shaped as an inverted right circular cone that has a radius of 4cm and a height of 16cm, at the ra

bearhunter [10]

Answer:

$\frac{dh}{dt}=-\frac{1}{2\pi}cm/min$

Step-by-step explanation:

From similar triangles, see diagram in attachment

$\frac{r}{4}=\frac{h}{16}$

We solve for $r$ to obtain,

$r=\frac{h}{4}$

The formula for calculating the volume of a cone is

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

We substitute the value of $r=\frac{h}{4}$ to obtain,

$V=\frac{1}{3}\pi (\frac{h}{4})^2h$

This implies that,

$V=\frac{1}{48}\pi h^3$

We now differentiate both sides with respect to $t$ to get,

$\frac{dV}{dt}=\frac{\pi}{16}h^2 \frac{dh}{dt}$

We were given that water is drained out of the tank at a rate of $2cm^3/min$

This implies that $\frac{dV}{dt}=-2cm^3/min$ .

Since we want to determine the rate at which the depth of the water is changing at the instance when the water in the tank is 8cm deep, it means $h=8cm$ .

We substitute this values to obtain,

$-2=\frac{\pi}{16}(8)^2 \frac{dh}{dt}$

$\Rightarrow -2=4\pi \frac{dh}{dt}$

$\Rightarrow -1=2\pi \frac{dh}{dt}$

$\frac{dh}{dt}=-\frac{1}{2\pi}$

3 0

3 years ago

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Find the volume of the cylinder.

Feliz [49]

Answer:

144pi

Step-by-step explanation:

The formula for the volume of a cylinder is base*height

The base of a cylinder is a circle, so it's pi*r^2

r = 6, so pi*r^2 is 36pi

height is 4 so 36pi*4 is 144pi

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2 years ago

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What is the sum of (-5x + 8) + (x2 – 10x)

Korvikt [17]

Answer:

-13x+8

Step-by-step explanation:

add the x's including negatives

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3 years ago

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A patient is given a 50 mg dose of medicine. The medicine's effectiveness decreases every hour at a constant rate of 40%. What i

Assoli18 [71]

It should be noted that only 60% of the medicine of the previous hour is left n the patient's system every hour. Thus, the model of the scenario is,

D = 50 mg (0.6^n)

where D is the dosage at any hour n.

Using the model above with n equal to 2. D becomes 18. Therefore, only 18 mg is left in the patient's system after 2 hours.

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3 years ago

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