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3 years ago

What is the surface area is a rectangular prism whose dimensions are 5m by 6m by 7m

1 answer:

5 0

I would have to see the shape to see this but I could say the volume if you'd want. 5*6*7= 210. And don't forget; you can find the surface area by doing b x h if it's a rectangle. And if it's a triangle do b x h / 2

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A triangle has two constant sides of length 5 feet and 7 feet. The angle between these two sides is increasing at a rate of 0.9

o-na [289]

Answer: $12.74 ft^2/s$

Step-by-step explanation:

Given

Two sides of triangle of sides 5 ft and 7 ft

and angle between them is increasing at a rate of 0.9 radians per second

let $\theta$ is the angle between them thus

Area of triangle when two sides and angle between them is given

$A=\frac{ab\sin C}{2}$

$A=\frac{5\times 7\times \sin \theta }{2}$

Differentiate w.r.t time

$\frac{\mathrm{d} A}{\mathrm{d} t}=\frac{35\cos theta }{2}\times \frac{\mathrm{d} \theta }{\mathrm{d} t}$

at $\theta =\frac{\pi }{5}$

$\frac{\mathrm{d} A}{\mathrm{d} t}=\frac{35\times cos(\frac{\pi }{5})}{2}\times 0.9$

$\frac{\mathrm{d} A}{\mathrm{d} t}=12.74 ft^2/s$

4 0

3 years ago

MATH HELP???

marin [14]

<h2>Answer:</h2>

The quadratic function are:

option: A A) y(y + 4) - y = 6

Option: C C.) 4b(b) = 0

<h2>Step-by-step explanation:</h2>

We know that the general equation of a quadratic equation in terms of a variable x is given by:

$ax^2+bx+c=0$

y(y + 4) - y = 6

On simplifying the terms we have:

$y^2+4y-y=6\\\\y^2+3y-6=0$

Hence, option: A is correct.

(3x + 2) + (6x - 1) = 0

$(3x + 2) + (6x - 1) = 0\\\\i.e.\\\\3x+2+6x-1=0\\\\i.e.\\\\3x+6x+2-1=0\\\\i.e.\\\\9x+1=0$

Hence, it is a linear equation.

Hence, option: B is incorrect.

4b(b) = 0

it could also be written as:

$4b^2=0$

Hence, it is a quadratic equation.

Hence, option: C is correct.

3a - 7 = 2(7a - 3)

$3a-7 = 2(7a-3)\\\\i.e.\\\\3a-7=14a-6\\\\\\i.e.\\\\14a-6-3a+7=0\\\\i.e.\\\\14a-3a-6+7=0\\\\i.e.\\\\11a+1=0$

which is again a linear equation.

Hence, option: D is incorrect.

6 0

3 years ago

When x = 2, y = 50 and when x = 4, y = 100. Which direct variation equation can be used to model this function?

Karolina [17]

Well, let's first write these as points.

( 2 , 50 )

( 4 , 100 )

We can see that when "x" is reduced by 2, "y" is reduced by 50. This means that if we reduce "x" by 1, "y" will be reduced by 25. Thus, we can say that if "x" is 1, "y" will be 25.

( 1 , 25 )

What we know that 25 * 1 = 25, and that 2 * 25 = 50. We can see that multiplying "x" by 25 will give us our "y". We can now write this as an equation.

y = 25x

3 0

3 years ago

Use substitution to solve the following system of equations.<br> y=3x +8<br> 5x+ 2y = 5

Shkiper50 [21]

Answer:

5x+2(3x+8)

5x+6x+16

11x+16

11x=-16

X=16/11

6 0

3 years ago

HELPPPPPPPPPPPPPPPPPPPPPPPP

rodikova [14]

For question 22, divide each number by 1.41 to see which one produces a quotient larger than 0.9. d is the answer.
For #23, multiple 0.155 million by 86%, the result is 133,300
again, d is the correct answer.

7 0

3 years ago