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lisabon 2012 [21]

3 years ago

9

the density of a certain material is such that it weighs 2 ounces per 6.5 millimeters of volume. Express the density in grams pe

r fluid ounce

1 answer:

Phoenix [80]3 years ago

3 0

Answer: 258 grams per fluid ounces

Step-by-step explanation:

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The diagonal of a rectangle is of length a. It splits each corner forming two angles with a ratio of 1:2. The area of the rectan

HACTEHA [7]

Answer:

Step-by-step explanation:

Given

Length of diagonal is a

Diagonal divides the angle in 1:2

such that $\theta +2\theta =90$ (because angle between two sides is 90)

$3\theta =90$

$\theta =30^{\circ}$

width of rectangle is $b=a\sin \theta =\frac{a}{2}$

Length of rectangle is $L=a\cos 30=\frac{\sqrt{3}}{2}a$

Area of rectangle $A=L\cdot b$

$A=\frac{\sqrt{3}}{2}a\times \frac{a}{2}$

$A=\frac{\sqrt{3}}{4}a^2$

5 0

2 years ago

HELP QUICK. By combining three equations, it can be shown that a2+b2=c2. One of the equations is c=e+f. Which of the following c

Alinara [238K]

Answer:

bc=eb and ca=fa

please tell me if this is actually the right answer

Step-by-step explanation:

bc=eb and ac=fa is wrong

bc=eb and ca=fa is right

cb=eb and ac=fa is wrong

ba=eb and ab=fa is wrong

8 0

2 years ago

a smaller copy of the 3 foot by 5 foot flag. the dimensions of the copy are to be 1/6 of the flag. how many times larger is the

Alinara [238K]

It would be 6 times larger for the area of the flag than the copy

6 0

3 years ago

Daily snowfall in Omaha in January<br> Mode, median or mean?

muminat

Answer:

mean but im guessing as well

Step-by-step explanation:

5 0

2 years ago

Water pours into a tank at the rate of 2000 cm3/min. The tank is cylindrical with radius 2 meters. How fast is the height of wat

Gennadij [26K]

Volume of water in the tank:

$V=\pi (2\,\mathrm m)^2h=\pi(200\,\mathrm{cm})^2h$

Differentiate both sides with respect to time <em>t</em> :

$\dfrac{\mathrm dV}{\mathrm dt}=\pi(200\,\mathrm{cm})^2\dfrac{\mathrm dh}{\mathrm dt}$

<em>V</em> changes at a rate of 2000 cc/min (cubic cm per minute); use this to solve for d<em>h</em>/d<em>t</em> :

$2000\dfrac{\mathrm{cm}^3}{\rm min}=\pi(40,000\,\mathrm{cm}^2)\dfrac{\mathrm dh}{\mathrm dt}$

$\dfrac{\mathrm dh}{\mathrm dt}=\dfrac{2000}{40,000\pi}\dfrac{\rm cm}{\rm min}=\dfrac1{20\pi}\dfrac{\rm cm}{\rm min}$

(The question asks how the height changes at the exact moment the height is 50 cm, but this info is a red herring because the rate of change is constant.)

7 0

2 years ago