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3 years ago

7 ( -3 ) - 6 ? ? ? ?

Mathematics

1 answer:

AlladinOne [14]3 years ago

3 0

7 (-3) -6

-21-6

-27 is your answer

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One acre of land is equivalent to 43,560 square feet. Write a program that calculates the number of acres in a tract of land wit

jek_recluse [69]

Answer:

float numAcres(int squareFeet){

float nA;

nA = (float)squareFeet/43560;

return nA;

}

Step-by-step explanation:

One acre of land is equivalent to 43,560 square feet.

So in x square feet, we are going to have x/43560 acres of land.

I am going to write a C program for you

float numAcres(int squareFeet){

float nA;

nA = (float)squareFeet/43560;

return nA;

}

4 0

4 years ago

A 13-ft ladder is leaning against a house when its base starts to slide away. By the time the base is 5 ft from the house, the

lord [1]

Answer:

a. -5 ft per sec

b. 59.5 ft² per sec

Step-by-step explanation:

a. Suppose l represents the ladder, x represents the height of the top of ladder from the base of house and y represents the distance of base of ladder from the base of house.

By the Pythagoras theorem,

$l^2 = x^2 + y^2------(1)$

Differentiating with respect to t ( time ),

$2l\frac{dl}{dt} = 2x \frac{dx}{dt}+2y\frac{dy}{dt}$

But, height of ladder, l = 13 ft = constant,

$\implies \frac{dl}{dt}=0$

$\implies 0= 2x \frac{dx}{dt}+2y\frac{dy}{dt}-----(2)$

We have,

y = 5, $\frac{dy}{dt}=12\text{ ft per sec}$ ,

Again by equation (1),

$13^2 = x^2 + 5^2\implies 169 = x^2 + 25\implies 169 - 25 = x^2\implies 144 = x^2\implies x = 12\text{ ft}$

From equation (2),

$0 = 2(12) \frac{dx}{dt} + 2(12)(5)$

$0= 24\frac{dx}{dt}+120$

$-120 =24\frac{dx}{dt}$

$\implies \frac{dx}{dt}=-\frac{120}{24}=-5\text{ ft per sec}$

Hence, the rate of change of the height of the top of the ladder is -5 ft per sec.

b. Now area of the triangle = 1/2 × base × height

$\implies A = \frac{1}{2}\times y\times x$

Differentiating with r. t. t,

$\frac{dA}{dt}=\frac{1}{2}(y\frac{dx}{dt}+x\frac{dy}{dt})$

$= \frac{1}{2}(5(-5) + 12(12))$

$=\frac{1}{2}(-25 + 144)$

$=\frac{119}{2}$

= 59.5 ft² per sec

Hence, area of the triangle is changing with the rate of 59.5 ft per sec.

7 0

4 years ago

Plz help running low on time!

Salsk061 [2.6K]

3rd one seems to be the correct answer

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4 years ago

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The expression below is a sum of cubes. 125x^3+144

harina [27]

$125=5^3\\\\\sqrt[3]{144}=\sqrt[3]{8\cdot18}=\sqrt[3]8\cdot\sqrt[3]{18}=2\sqrt[3]{18}\\-------------------------------\\\\125x^3+144=5^3x^3+(\sqrt[3]{144})^3=(5x)^3+(2\sqrt[3]{18})^3$

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3 years ago

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0.59 divided by 2.419

storchak [24]

The answer is 0.24390244

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3 years ago

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