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Rainbow [258]
3 years ago
12

What expression is equivalent to 1/4 (8-6x+12)?

Mathematics
1 answer:
Yuki888 [10]3 years ago
6 0
So first we add like terms inside the partenahseese
8-6x+12=-6x+8+12=-6x+20

now we have
1/4(-6x+20)
distribute
a(b+c)=ab+ac
1/4(-6x+20)=-6/4x+20/4=
-3/2x+5
-1 and 1/2x+5
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I need to find surface area of a cylinder. Formula being used: S.A= L x W +
Arturiano [62]

Answer:

90π yd²

Step-by-step explanation:

the surface area of a cylinder is the sum of the lateral area and twice the aera of one end of the cylinder:  π·d·l, where l represents the length of the cylinder.  Here, the lateral surface area is π·6 yd·12 yd, or 72π yd².

The two ends add the following to the total surface area:

2·π·(d/2)², or 2π·d²/4.

Thus, the total surface area of the cyl. is

A = 2π·(6 yd)²/4 + 72π yd², or

A = 18π yd² + 72π yd² = 90π yd²

Note:  Please check your source.  L x W +  2pi ·r ^2 is incorrect.

5 0
4 years ago
A car has mass 1500 kg and is traveling at a speed of 35 miles/hour. what is its kinetic energy in joules? (Be sure to convert m
photoshop1234 [79]

Answer:

Factor by which kinetic energy increase = 4 times

Step-by-step explanation:

Given,

  • Mass of the car, v1 = 1500 kg
  • initial speed of car = 35 miles/h

                               =\dfrac{35\times 1609.34}{3600}\ m/s

                               = 15.64 m/s

Initial kinetic energy of the car is given by,

k_1\ =\ \dfrac{1}{2}.m.v_1^2

       =\ \dfrac{1}{2}\times 1500\times (15.64)^2\ joule

       = 183606.46 J

  • Final velocity of car v2 = 70 miles/hour

                                      =\dfrac{70\times 1609.34}{3600}

                                      = 31.29 m/s

So, final kinetic energy of car is given by

k_2\ =\ \dfrac{1}{2}.m.v_2^2

        =\ \dfrac{1}{2}\times 1500\times (31.29)^2

        = 734425.84 J

Now, the ratio of final to initial kinetic energy can be given by,

\dfrac{k_2}{k_1}=\ \dfrac{734425.84}{183606.46}

=>\ k_2\ =\ 4k_1                      

Hence, the kinetic energy will increase by 4 times.

7 0
3 years ago
Please help me I suck at math!​
lisov135 [29]

Answer:

<em>0.000008</em>

Step-by-step explanation:

Since the exponent of the scientific notation is negative, move the decimal point  6  places to the left.

<em>0.000008</em>

<em>brainliest pls</em>

8 0
3 years ago
Read 2 more answers
What is 25% off $1099.00
Alecsey [184]
25/100 x 1099=$274.75
Hope I helped.

4 0
3 years ago
How would you set up this problem to find the height of the sail using reciprocal functions?
AVprozaik [17]

Remark

I'm not sure I know what you mean, but I will answer trying to interpret it so it fits the description of the question.

Step One: Set up the equation. The normal way of solving this would be to use the Cos function.

Cos(theta) = Adjacent / hypotenuse = x/8 Multiply both sides by 8

8*cos(theta) = x Theta = 35

8*cos(35) = x This is about as simple a way as is possible.

6.553 = the height of the sale.

Step Three: try using the reciprocal

1 / cos(35)= hypotenuse / adjacent

1/0.8191 = 8/x cross multiply

x = 0.8191 * 8

x = 6.553

5 0
3 years ago
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