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3 years ago

Pick the number that is 1/8 of 1/2 of 1/4 of 256

Mathematics

1 answer:

Tju [1.3M]3 years ago

5 0

First find 1/4 of 256:

256 / 4 = 64

Now find half of 64:

64/2 = 32

Now find 1/8 of 32:

32 / 8 = 4

The number is 4

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The length of each side of an equilateral triangle is increased by 20%, resulting in triangle ABC. If the length of each side of

kompoz [17]

Answer: Area of ΔABC is 2.25x the area of ΔDEF.

Step-by-step explanation: Because equilateral triangle has 3 equal sides, area is calculated as

$A=\frac{\sqrt{3} }{4} a^{2}$

with a as side of the triangle.

Triangle ABC is 20% bigger than the original, which means its side (a₁) measures, compared to the original:

a₁ = 1.2a

Then, its area is

$A_{1}=\frac{\sqrt{3} }{4}(1.2a)^{2}$

$A_{1}=\frac{\sqrt{3} }{4}1.44a^{2}$

Triangle DEF is 20% smaller than the original, which means its side is:

a₂ = 0.8a

So, area is

$A_{2}=\frac{\sqrt{3} }{4} (0.8a)^{2}$

$A_{2}=\frac{\sqrt{3} }{4} 0.64a^{2}$

Now, comparing areas:

$\frac{A_{1}}{A_{2}}= (\frac{\sqrt{3}.1.44a^{2} }{4})(\frac{4}{\sqrt{3}.0.64a^{2} } )$

$\frac{A_{1}}{A_{2}} =$ 2.25

The area of ΔABC is 2.25x greater than the area of ΔDEF.

7 0

3 years ago

A track has lanes 1 meter wide. The turn radius of the inner lane is 25 meters. To make a fair race, the starting line in each l

Angelina_Jolie [31]

Assuming that there are N lanes and runners are running in the middle of each lane,
width of each lane = (1/N) [m]turning of first lane = π×(R+(1/N)×(1/2))
turning of second lane = π×(R+((1/N)×(1/2))+(1/N))

you can get the difference in turning lane simply by subtracting turning of first lane from turning of second lane.
If i worked the problem correctly, it should be π×(1/N) meter difference between each lane

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3 years ago

Simplify and write answer without parentheses

Elenna [48]

Answer:

Step-by-step explanation:

Apply the power 2 to the numerator and denominator, separately:

x^2

------------

4y^6

8 0

3 years ago

Please help i dont know which one

hammer [34]

Answer:

15ft........

Step-by-step explanation:

it is fifteen feet

4 0

3 years ago

6. Consider the inequality 12<-3 (x + 4). Which value of x is part of the solution set of this inequality?

Naily [24]

Answer:

-8

Step-by-step explanation:

12<-3 (x + 4)

1. distribute to the -3 to the x and 4 and should get

-3*x = -3x

-3*4 = -12

12< -3x - 12

2. now you get rid of the common factors which is -12 so add 12 to both sides and should get

-12+12=0

12+12=24

24< -3x

3. to get x by itself you will have to get rid of -3, so how to do that is divide -3 to both side and should get

-3x/-3= x

24/-3= -8

-8<x

7 0

3 years ago