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2 years ago

4.09434456 rounded to the nearest thousand

Mathematics

1 answer:

igor_vitrenko [27]2 years ago

3 0

Answer:

4.094

Step-by-step explanation:

in our thousandths spot is the 4 4.094, in our ten-thousandths spot is the 3 4.0943, so we do not add one, so our final answer is 4.094

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Cylinder E has the following dimensions: h = 30 cm and r = 4 cm. Cylinder F has the same radius, but has a height of 5 cm . What

Anarel [89]

Answer:

1759.52cm^3

Step-by-step explanation:

Given data

Cylinder E

h = 30 cm and

r = 4 cm

The expression for the volume is

V= πr^2h

V= 3.142*4^2*30

V= 3.142*16*30

V=1508.16 cm^3

Cylinder F

h=5 cm

r = 4 cm

The expression for the volume is

V= πr^2h

V= 3.142*4^2*5

V= 3.142*16*5

V=251.36 cm^3

Hence the total volume is

=251.36+1508.16

= 1759.52cm^3

6 0

2 years ago

Find the exact value of tan(x-y) if sin x=8/17 cosy = 3/5

jolli1 [7]

To solve the the question we proceed as follows:

From trigonometric laws

$(cos x)^2+(sin x)^2=1$

$sin (x-y)=sin$ $x$ $sin$ $y-sin$ $y$ $cos$ $x$

$cos (x-y)=cos$ $x$ $cos$ $y+sin$ $x$ $xin$ $y$

si $x=\frac{8}{17}$

$cos$ $x=sqrt(1-(sin x)^2)=sqrt(1-64/289)=sqrt(\frac{225}{289} )=\frac{15}{17}$

$cos$ $y=\frac{3}{5}$

$sin$ $x= sqrt(1- (cos x)^2)= sqrt(1-\frac{9}{25} )=sqrt(\frac{16}{25} )=\frac{4}{5}$

thus

$tan (x-y)=[sin (x-y)]/[cos (x-y)]$

=[sin x cos y-sin y cos x]/[cos x cos y+sin x sin y]

plugging in the values we obtain:

$[8/17 *3/5-4/5*15/7]/[15/17*3/5+8/17*4/5]$

simplifying

$[24/85-60/85]/[45/85+32/85]$

$=-\frac{36}{77}$

6 0

2 years ago

Find the volume of prism

soldier1979 [14.2K]

Answer: 343 ft^3

Step-by-step explanation:

To find the volume of a cube, the one side length is raised to the power of three whihc comes to 343 ft^3

8 0

2 years ago

Someone help me on question 4 plsss

Ludmilka [50]

Answer:

I think C

Step-by-step explanation:

7 0

3 years ago

The two dice are rolled. what is the theoretical chance that they land to form a sum of 11?

Rufina [12.5K]

Answer:

Propability of getting either sum is 2/9

Step-by-step explanation:

Well, we know that there are 36 total arrangements of the two six sided die. So we have a possibility of 3,4 and 4,3. Likewise, we have a possibility of 5,2 and 2,5. We also have a possibility of 1,6 and 6,1. That takes care of the probability That you get two die that add up to 7. Now for 11, you have 5,6 and 6,5. So since you asked for the probability of getting either or, you add all the probabilities, which is 6/36+2/36=8/36=2/9. So the probability of getting either sum is 2/9.

5 0

3 years ago