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3 years ago

10

An aquarium in the shape of a rectangular prism has the volume of 3,758.75 cubic inches, length of 24.25 inches, and width of 12

.5 inches. What is the height?
How do I solve this without a calculator?

1 answer:

natulia [17]3 years ago

8 0

You do length times width times you get your area. (I think)

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2 Which of the following polynomials is not written in standard form?

Varvara68 [4.7K]

Answer:

3

Step-by-step explanation:

Standard form is written in the order of the exponent <em>on</em><em> </em><em>a</em><em> </em><em>variable</em> from highest to lowest.

#1 exponents go 2, 1 , then zero. So, this is standard form.

#2 exponents go 2 then zero, so this is standard form.

#3 exponents go 1 then 2 then zero, so this is <em><u>not</u></em> in standard form.

#4 exponents go 3 to 2 to 1, so this is still in standard form.

hope this helps!

8 0

3 years ago

6x+3y=24<br><br> 3x-4y=-21<br> What is the solution of system of equations

mezya [45]

Answer:

i don't know if it is correct or not, sorry if i were mistaken

7 0

3 years ago

A plane flying horizontally at an altitude of 1 mi and a speed of 470 mi/h passes directly over a radar station. Find the rate a

kiruha [24]

Answer:

407 mi/h

Step-by-step explanation:

Given:

Speed of plane (s) = 470 mi/h

Height of plane above radar station (h) = 1 mi

Let the distance of plane from station be 'D' at any time 't' and let 'x' be the horizontal distance traveled in time 't' by the plane.

Consider a right angled triangle representing the above scenario.

We can see that, the height 'h' remains fixed as the plane is flying horizontally.

Speed of the plane is nothing but the rate of change of horizontal distance of plane. So, $s=\frac{dx}{dt}=470\ mi/h$

Now, applying Pythagoras theorem to the triangle, we have:

$D^2=h^2+x^2\\\\D^2=1+x^2$

Differentiating with respect to time 't', we get:

$2D\frac{dD}{dt}=0+2x\frac{dx}{dt}\\\\\frac{dD}{dt}=\frac{x}{D}(s)$

Now, when the plane is 2 miles away from radar station, then D = 2 mi

Also, the horizontal distance traveled can be calculated using the value of 'D' in equation (1). This gives,

$2^2=1+x^2\\\\x^2=4-1\\\\x=\sqrt3=1.732\ mi$

Now, plug in all the given values and solve for $\frac{dD}{dt}$ . This gives,

$\frac{dD}{dt}=\frac{1.732\times 470}{2}=407.02\approx 407\ mi/h$

Therefore, the distance from the plane to the station is increasing at a rate of 407 mi/h.

6 0

3 years ago

Does anyone know how to turn a fraaction percent into a decimal like this:

lilavasa [31]

3 divided by 8 and 17 divided by 30

4 0

3 years ago

Please help me out!!!

serg [7]

Answer:

x = 76.9

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp side / adj side

tan 70 = x/28

28 tan 70 = x

x=76.92936

Rounding to the nearest tenth

x = 76.9

8 0

3 years ago

Read 2 more answers