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3 years ago

6

Simplify expression 8n+4-6n/2

2 answers:

Nady [450]3 years ago

8 0

Answer:

n+2

Step-by-step explanation:

to simplify this expression 8n+4-6n/2

we have,

{8n-6n + 4}/2

{2n + 4}/2

to further simplify this expression {2n + 4}/2 , we are going to factorize 2 from the numerator ,

we have

=2(n +2)/2

the next step to simplify the 2(n +2)/2 further is to use the factorised 2 at the numerator to divide the 2 at the denominator so that we can have a simplified expression.

we have

=2(n +2)/2

=n+2

therefore the simplified form of the expression 8n+4-6n/2 is n+2

arlik [135]3 years ago

5 0

Step-by-step explanation:

8n+4-6n/2

8n+4-3n

5n+4

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From the side of a hill wai-kin looks up at the top of a nearby vertical cliff at an angle of elevation of 36 degrees and looks

oksano4ka [1.4K]

Answer:

881.5 meters.

Step-by-step explanation:

The horizontal plane at the level of wai-kin's eyes divide the height of the cliff into two parts. Let the upper part be represented by x and the lower part be represented by y.

The height of the cliff = x + y

Applying the appropriate trigonometry functions.

To determine the value of x;

Tan θ = $\frac{opposite}{adjacent}$

Tan $36^{o}$ = $\frac{x}{490}$

⇒ x = 490 x Tan $36^{o}$

= 490 x 0.7265

= 355.985

x = 356 meters

To determine the value of y;

Tan θ = $\frac{opposite}{adjacent}$

Tan $47^{o}$ = $\frac{y}{490}$

⇒ y = 490 x Tan $47^{o}$

= 490 x 1.0724

= 525.476

y = 525.5 meters

Therefore,

The height of the cliff = x + y

= 355.985 + 525.476

= 881.461

The height of the cliff is 881.5 meters.

3 0

3 years ago

A right circular cone is undergoing a transformation in such a way that the radius of the cone is increasing at a rate of 1/2 in

Ivenika [448]

Answer:

The volume is decreasing at the rate of 1.396 cubic inches per minute

Step-by-step explanation:

Given

Shape: Cone

$\frac{dr}{dt} =\frac{1}{2}$ --- rate of the radius

$\frac{dh}{dt} =-\frac{1}{3}$ --- rate of the height

$r = 2$

$h = \frac{1}{3}$

Required

Determine the rate of change of the cone volume

The volume of a cone is:

$V = \frac{\pi}{3}r^2h$

Differentiate with respect to time (t)

$\frac{dV}{dt} = \frac{\pi}{3}(2rh \frac{dr}{dt} + r^2 \frac{dh}{dt})$

Substitute values for the known variables

$\frac{dV}{dt} = \frac{\pi}{3}(2*2*\frac{1}{3}* \frac{1}{2} - 2^2 *\frac{1}{3})$

$\frac{dV}{dt} = \frac{\pi}{3}(\frac{4}{3}* \frac{1}{2} - \frac{4}{3})$

$\frac{dV}{dt} = \frac{\pi}{3}(\frac{4}{3}(\frac{1}{2} - 1))$

$\frac{dV}{dt} = \frac{\pi}{3}(\frac{4}{3}*- 1)$

$\frac{dV}{dt} = -\frac{\pi}{3}*\frac{4}{3}$

$\frac{dV}{dt} = -\frac{22}{7*3}*\frac{4}{3}$

$\frac{dV}{dt} = -\frac{22}{21}*\frac{4}{3}$

$\frac{dV}{dt} = -\frac{88}{63}$

$\frac{dV}{dt} =-1.396in^3/min$

The volume is decreasing at the rate of 1.396 cubic inches per minute

3 0

3 years ago

Anyone please could help

Shalnov [3]

The answer would be c.127

5 0

3 years ago

5(x-4)+2x=14 help me find the answer x=?

Bond [772]

Exact Form:
x = 34/7

Decimal Form:
x= 4. 857142

Mixed Number Form:
x= 4 6/7

4 0

3 years ago

Read 2 more answers

Anyone help me please Thank you

Olin [163]

I have to say the answer is C

4 0

3 years ago

Read 2 more answers