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3 years ago

Which statement comparing 6² + 14 ÷ 2 and 100−82 is true?

Mathematics

2 answers:

gladu [14]3 years ago

7 0

the answer is a

6² + 14 ÷ 2 > 100 − 82

DanielleElmas [232]3 years ago

5 0

6*6 =36
14/2 =7
36+7= 43

100-82= 18

43 > 18

therefore A is truw

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A filter filled with liquid is in the shape of a vertex-down cone with a height of 9 inches and a diameter of 6 inches at its op

Alina [70]

Answer: Level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.

Step-by-step explanation:

Since we have given that

Height = 9 inches

Diameter = 6 inches

Radius = 3 inches

So, $\dfrac{r}{h}=\dfrac{3}{9}=\dfrac{1}{3}\\\\r=\dfrac{1}{3}h$

Volume of cone is given by

$V=\dfrac{1}{3}\pi r^2h\\\\V=\dfrac{1}{3}\pi \dfrac{1}{9}h^2\times h\\\\V=\dfrac{1}{27}\pi h^3$

By differentiating with respect to time t, we get that

$\dfrac{dv}{dt}=\dfrac{1}{27}\pi \times 3\times h^2\dfrac{dh}{dt}=\dfrac{1}{9}\pi h^2\dfrac{dh}{dt}$

Now, the liquid drips out the bottom of the filter at the constant rate of 4 cubic inches per second, ie $\dfrac{dv}{dt}=-4\ in^3$

and h = 2 inches deep.

$-4=\dfrac{1}{9}\times \pi\times (2)^2\dfrac{dh}{dt}\\\\-9\pi =\dfrac{dh}{dt}\\\\-28.28=\dfrac{dh}{dt}$

Hence, level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.

7 0

3 years ago

Can someone help me with this one ?

Shalnov [3]

Step-by-step explanation:

Using pythagoras theorem

9^2 - 6^2 = x^2

Therefore X^2 = 81 - 36

= 45

Thus X = √45

X = 6.71

5 0

3 years ago

I need help on this question

katen-ka-za [31]

Measure of the interior angle: 180 -113: 67
the measure of interior angle is 67.

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Mario has nine Green, eight red, 10 brown, six orange, and nine blue M&Ms what fraction of the M&Ms are orange

gizmo_the_mogwai [7]

6 orange. 42 total. 6/42 = 1/7 of the M&Ms are orange.

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3 years ago

¿Cuál es el resultado de (-2)(-3)*(-1)x 5?<br>

podryga [215]

=-30
-2*-3=6
-1*5=-5
6 x -5=-30

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3 years ago