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4 years ago

Write 2.14 x 10-6 in standard form.

Mathematics

2 answers:

Nadusha1986 [10]4 years ago

7 0

Answer:

0.00000214

Step-by-step explanation:

tester [92]4 years ago

4 0

0.00000214 should be the answer

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V=4/3? r^2 Suppose that, for the sphere in the video, instead of being told how fast the radius is changing, we're told that the

grigory [225]

Answer:

$\frac{dr}{dt}=0.01$ cm per second

$\frac{dS}{dt}=320 square centimeter per secondStep-by-step explanation:We are given that volume of sphere [tex]V=\frac{4}{3}\pi r^3$

Volume of sphere is increasing at a constant rate

$\frac{dV}{dt}=4$ cubic centimeters per second

We have to find the rate of radius at which increasing

when r= 10 cm

Differentiating w.r.t time

$\frac{dV}{dt}=\frac{4}{3}\pi\cdot3r^2\frac{dr}{dt}$

$4=4 r^2\frac{dr}{dt}$

$\frac{dr}{dt}= \frac{1}{r^2}=\frac}{1}{(10)^2}=0.01$ cm per second

Now ,we are given that surface area of sphere

$S=4\pir^2$

Differentiate w.r.t time then we get

$\frac{dS}[dt}=8\pir\frac{dr}{dt}$

$\frac{dS}{dt}=8\pi\times 20\times 2$

$\frac{dS}{dt}=320$ cm per second

5 0

3 years ago

CAN SOMEONE PLEASE HELP ME WITH THIS PROBLEM

Alenkasestr [34]

Answer:

16 : 5 $\sqrt{13}$

Step-by-step explanation:

For 2 similar polygons with ratio of sides/perimeter = a : b

Then the ratio of areas = a² : b²

Here the ratio of areas = 256 : 325

Hence ratio of perimeters = √256 : √325 = 16 : 5 √13

7 0

3 years ago

Triangles A B C and H G L are congruent. Angles A B C and H G L are right angles. The length of hypotenuse A C is 15 and the len

Lisa [10]

Answer:

x = 4

Therefore, for the triangles to be congruent by HL, the value of x must be 4.

Step-by-step explanation:

Given: ΔABC and ΔHGL are congruent. ∠ABC = ∠HGL = 90°.

Length of hypotenuse AC = 15

Length of hypotenuse HL = 3x + 3

Length of AB = 9, Length of BC = 12 and Length of GL = 2x + 1.

Sol: ∵ ΔABC ≅ ΔHGL

Length of HL = Length of AC (corresponding parts of congruent triangles)

3x + 3 = 15

3x = 15 - 3

3x = 12

x = 12/3 = 4

Therefore, for the triangles to be congruent by HL, the value of x must be 4.

5 0

3 years ago

An oblong measures 15 cm by 8 cm. find the angle between its diagonal and a longer edge answer

kramer

For this case you can model the problem as a rectangle triangle where you have the length of the opposite leg and the adjacent leg.
Therefore, the angle sought is given by:
theta = Atan (8/15)
theta = 28.07 degrees
Answer:
The angle between its diagonal and a longer edge is:
theta = 28.07 degrees

8 0

3 years ago

How does an earthquake of magnitude 7.6 compare in intensity with an earthquake of magnitude of 3.2 on the Richter scale?

alex41 [277]

Answer A 7.6 earthquake is more than 2x more powerful than a 3.2

Step-by-step explanation:

8 0

3 years ago