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3 years ago

12

Anyone knows the answer?

1 answer:

SIZIF [17.4K]3 years ago

7 0

Asa. angle side angle.

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An ice cube is melting, and the lengths of its sides are decreasing at a rate of 0.8 millimeters per minute At what rate is the

julia-pushkina [17]

Answer:

The rate of decrease is: $43.2mm^3/min$

Step-by-step explanation:

Given

$l = 18mm$

$\frac{dl}{dt} = -0.8mm/min$ ---- We used minus because the rate is decreasing

Required

Rate of decrease when: $l = 18mm$

The volume of the cube is:

$V = l^3$

Differentiate

$\frac{dV}{dl} = 3l^2$

Make dV the subject

$dV = 3l^2 \cdot dl$

Divide both sides by dt

$\frac{dV}{dt} = 3l^2 \cdot \frac{dl}{dt}$

Given that: $l = 18mm$ and $\frac{dl}{dt} = -0.8mm/min$

$\frac{dV}{dt} = 3 * (18mm)^2 * (-0.8mm/min)$

$\frac{dV}{dt} = 3 * 18 *-0.8mm^3/min$

$\frac{dV}{dt} = -43.2mm^3/min$

<em>Hence, the rate of decrease is: 43.2mm^3/min</em>

8 0

2 years ago

Find the area of the rectangle <br>Pls hurry and answer!!

lana [24]

Answer:

5.4

Step-by-step explanation:

3/5 x 9 is 5.4. To find the area of a rectangle you need to multiply the length times the width.

4 0

1 year ago

What is the solution of 5/2-7= 3/4x+14,

Sidana [21]

Answer:

D) x = 12

Step-by-step explanation:

Given:

$\sf{\dfrac{5}{2}x-7=\dfrac{3}{4}x+14 \implies \dfrac{10}{4}x-7=\dfrac{3}{4}x+14}$

1. Multiply both sides by 4

$\sf{4\left(\dfrac{10}{4}x-7\right)=4\left(\dfrac{3}{4}x+14\right)}\\\\\implies 10x-28=3x+56$

2. Subtract 3x from both sides

$\sf{10x-3x-28=3x-3x+56}\\\\\implies 7x-28=56$

3. Add 28 to both sides

$\sf{7x-28+28=56+28}\\\\\implies 7x=84$

4. Divide both sides by 7 to isolate the variable:

$\sf{\dfrac{7x}{7}=\dfrac{84}{7}}\\\\\implies x=12$

Learn more here:

brainly.com/question/27844194

3 0

1 year ago

At an effective annual interest rate of i > 0, each of the following two sets of payments has present value K: (i) A payment

IgorLugansk [536]

Answer:

The present value of K is, $K=251.35$

Step-by-step explanation:

Hi

First of all, we need to construct an equation system, so

$(1)K=\frac{169}{(1+i)} +\frac{169}{(1+i)^{2}}$

$(2)K=\frac{225}{(1+i)^{2}} +\frac{225}{(1+i)^{4}}$

Then we equalize both of them so we can find $i$

$(3)\frac{169}{(1+i)} +\frac{169}{(1+i)^{2}}=\frac{225}{(1+i)^{2}} +\frac{225}{(1+i)^{4}}$

To solve it we can multiply $(3)*(1+i)^{4}$ to obtain $(1+i)^{4}*(\frac{169}{(1+i)} +\frac{169}{(1+i)^{2}}=\frac{225}{(1+i)^{2}} +\frac{225}{(1+i)^{4}})$ , then we have $225(1+i)^{2}+225=169(1+i)^{3}+169(1+i)^{2}$ .

This leads to a third-grade polynomial $169i^{3}+451i^{2}+395i-112=0$ , after computing this expression, we find only one real root $i=0.2224$ .

Finally, we replace it in (1) or (2), let's do it in (1) $K=\frac{169}{(1+0.2224)} +\frac{169}{(1+0.2224)^{2}}\\\\K=251.35$

8 0

3 years ago

Answer this plz need help 100x8 grater than less than or equal to 25x(4x8)

Klio2033 [76]

Answer:

100×8 > 25×(4×8)

Step-by-step explanation:

800>780

8 0

2 years ago

Read 2 more answers