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Vinvika [58]
3 years ago
11

Simplify the expression.

Mathematics
1 answer:
Tanya [424]3 years ago
5 0
Three fifths y plus left parenthesis negative six fifths y right parenthesis
3/5y + (−6/5y)= -18/5y = -18/5=y - 3 3/5
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A tank has the shape of an inverted circular cone (point at the bottom) with height 10 feet and radius 4 feet. The tank is full
german

Answer:

Step-by-step explanation:

Given that tank has the shape of inverted circular cone

Height = 10 feet and radius =  4 feet

After water pumped out height = 5 ft

Hence volume of water pumped out = \frac{1}{3} \pi R^2 h-\frac{1}{3} \pi r^2 h'

Here we have r/h is constant always

Hence \frac{r}{h'} =\frac{R}{h} \\r=Rh'/h = 4(5)/10 = 2

Substitute to get volume of water pumped out = \frac{1}{3} \pi (10*16-4*5)=\frac{140\pi}{3}

Mass of water = density x volume = 62.4(\frac{140\pi}{3})\\= 2912\pi lbs

Work done = force x displacement

= mass x accen x displacement

Here acceleration = gravity = 32.2 ft/sec^2

Displaement = height reduced = 5 ft

W=2912(32.2)(5)\pi =468832\pi foot -pound

6 0
3 years ago
Find the equation of the line through point (3,2) and perpendicular to 3x + 5y = 15
Vesnalui [34]

Answer:

y=5/3x-3

Step-by-step explanation:

first, let's put 3x+5y=15 into y=mx+b form

move 3x to the other side

5y=-3x+15

divide by 5

y=-3/5x+3

now, perendicular lines have slopes that are negative and reciprocal.

With our new equation we can automatically find the slope, which would be 5/3.

now, we need to find b

plug the points (3,2) into y=5/3x+b

2=5/3(3)+b

2=5+b

-3=b

so that means that our equation will now be

y=5/3x-3.

Hope this helps!

6 0
3 years ago
This property says you can rewrite 3 x (4+5) as (3x4) +(3 x 5).
Murrr4er [49]

Answer:

distributive property

Step-by-step explanation:

Distributive property says that x(y + z) = (x*y) + (x *z)

3 0
3 years ago
Read 2 more answers
Which number is the best estimate for point F?
andreev551 [17]

Answer:

e

Step-by-step explanation:

you can use this phrase to help u

5 or above give it a shove

4 or below let it go

meaning that if its 5 or more then you round up but if its less then 5 then u round down

4 0
3 years ago
Read 2 more answers
Six identical circles fit inside the rectangle as shown below. If the rectangle has a width of 15
irakobra [83]

Answer:

The radius of each circle is 2.5 units

Step-by-step explanation:

7 0
3 years ago
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