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2 years ago

(4a) to the third power divided by (b-2) ; a=2 and b=4

Mathematics

1 answer:

Bingel [31]2 years ago

7 0

(4(2)=8*8*8=512÷6=85.333333
(4-2)=2
8-2=6
8*2=16
8÷2=4
8+2=10
whichever operation it is

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Will mark brainliest and 15 points

insens350 [35]

Answer:

Step-by-step explanation:

x - 3y -15

x = -3

6 0

2 years ago

B. Rob would like to create a triangle that is

Phantasy [73]

Answer:

$14y + 9$

Step-by-step explanation:

Perimeter of the given triangular above = sum of all its sides.

$= (y + 9) + 2y + (4y - 1) = y + 9 + 2y + 4y -1$

Collect like terms

$= y + 2y + 4y + 9 - 1$

$= 7y + 8$

If Bob creates a new triangle that is 7 less than twice of the perimeter of the triangle above, the expression of the new triangle would be:

$2(7y + 8) - 7$

Simplify

$2*7y + 2*8 - 7$

$14y + 16 - 7$

New perimeter = $14y + 9$

5 0

3 years ago

A piece of wire 11 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria

forsale [732]

Answer:

11 meters

Step-by-step explanation:

First, we can say that the square has a side length of x. The perimeter of the square is 4x, and that is how much wire goes into the square. To maximize the area, we should use all the wire possible, so the remaining wire goes into the triangle, or (11-4x).

The area of the square is x², and the area of an equilateral triangle with side length a is (√3/4)a². Next, 11-4x is equal to the perimeter of the triangle, and since it is equilateral, each side has (11-4x)/3 length. Plugging that in for a, we get the area of the equilateral triangle is

(√3/4)((11-4x)/3)²

= (√3/4)(11/3 - 4x/3)²

= (√3/4)(121/9 - 88x/9 + 16x²/9)

= (16√3/36)x² - (88√3/36)x + (121√3/36)

The total area is then

(16√3/36)x² - (88√3/36)x + (121√3/36) + x²

= (16√3/36 + 1)x² - (88√3/36)x + (121√3/36)

Because the coefficient for x² is positive, the parabola would open up and the derivative of the parabola would be the local minimum. Therefore, to find the maximum area, we need to go to the absolute minimum/maximum points of x (x=0 or x=2.75)

When x=0, each side of the triangle is 11/3 meters long and its area is

(√3/4)a² ≈ 5.82

When x=2.75, each side of the square is 2.75 meters long and its area is

2.75² = 7.5625

Therefore, a maximum is reached when x=2.75, or the wire used for the square is 2.75 * 4 = 11 meters

3 0

3 years ago

Given two fair dice, find the probability of rolling a sum of 8 on the two dice.

bekas [8.4K]

With a dice right is it math I’m confused

8 0

2 years ago

Read 2 more answers

A survey of a group’s viewing habits over the last year revealed the following information: (i) 28% watched gymnastics (ii) 29%

almond37 [142]

Answer: D) 52%

Step-by-step explanation:

G = gymnastics

B = baseball

S = soccer

G = 28%

BA = 29%

S = 19%

G and BA = 14%

BA and S = 12%

G and S = 10%

GBS = 8%

So, as we can see at the Venn diagram attached (consider every number in %)

GBS = 8

A = G and S - GBS = 10 - 8 = 2

B = G and BA - GBS = 14 - 8 = 6

C = BA and S - GBS = 12 - 8 = 4

Only G = G - A - B - GBS = 28 - 2 - 6 - 8 = 12

Only BA = BA - B - C - GBS = 29 - 6 - 4 - 8 = 11

Only S = S - A - C - GBS = 19 - 2 - 4 - 8 = 5

So, 2+6+4+12+11+5+8 = 48

100 - 48 = 52%

3 0

3 years ago