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3 years ago

Please Answer This is due by tomorrow night and I need help

Mathematics

1 answer:

labwork [276]3 years ago

5 0

Answer:

AY = 16

IY = 9

FG = 30

PA = 24

Step-by-step explanation:

The centroid of the triangle divides each median at the ratio 1: 2 from the base

Let us solve the problem

In Δ AFT

∵ Y is the centroid

∵ AP, TI, and FG are medians

→ By using the rule above

∴ Y divides AP at ratio 1: 2 from the base FT

∴ AY = 2 YP

∵ YP = 8

∴ AY = 2(8)

∴ AY = 16

∵ PA = AY + YP

∴ AP = 16 + 8

∴ AP = 24

∵ Y divides TI at ratio 1: 2 from the base FA

∴ TY = 2 IY

∵ TY = 18

∴ 18 = 2

→ Divide both sides by 2

∴ 9 = IY

∴ IY = 9

∵ Y divides FG at ratio 1:2 from the base AT

∴ FY = 2 YG

∵ FY = 20

∴ 20 = 2 YG

→ Divide both sides by 2

∴ 10 = YG

∴ YG = 10

∵ FG = YG + FY

∴ FG = 10 + 20

∴ FG = 30

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Use natural logarithms to solve the equation. Round to the nearest thousandth. 6e4x - 2 = 3

frosja888 [35]

6 · e^(4x - 2) = 3
   e^(4x - 2) = .5
ln e^(4x - 2) = ln (.5)
4x - 2 = ln (.5)
   4x = ln (.5) + 2
   x = (ln (.5) + 2)/4
   x = 0.3267
   x ≈ 0.327

Answer: B

6 0

3 years ago

Can someone help me with this answer plsss

solniwko [45]

Answer: 44 ft

Step-by-step explanation:

if you add up the right square it adds up to 16 4+4+4+4 all sides are equal since its a square.

The left rectangle is

8+8=16

6+6=12

16+12=28

Now you add the square on the right to the square on the left which is

28+16= 44 ft

4 0

2 years ago

HELP PLEASEEE with steps

zysi [14]

<h3>Answer: Choice C) 421.9</h3>

=======================================

Explanation:

You're on the right track. You wrote down the proper expression to get the final answer, assuming you meant to write 75/4 as the third term inside the parenthesis. This works because each time you cut the side length in half to get each smaller triangle's side. The 3 is because there are 3 sides for each of the triangles. Much of this I have a feeling you already know as you wrote down the expression on the page, though I'm not 100% sure of your mindset. Computing this expression leads to 421.875 which rounds to 421.9

note: an alternative is to write 3*75 + 3*75/2 + 3*75/4 + 3*75/8, though that is more work. It's better to have that 3 factored out.

8 0

3 years ago

Please help, will give brainlist

ladessa [460]

Answer:

$x^{2}-2+\frac{20}{x+7}$

Step-by-step explanation:

x + 7) x³ + 7x²- 2x + 6 ( x²- 2

x³ + 7x²

-2x + 6

-2x - 14

+20

Therefore, we can write the expression in the remainder quotient form as,

$x^{2}-2+\frac{20}{x+7}$

5 0

3 years ago

Certain circle can be represented by the following equation.

kirill115 [55]

Answer:

Center of the circle is (-9, -7)

Radius of the circle = 5 units

Step-by-step explanation:

Given question is incomplete: here is the complete question.

Certain circle can be represented by the following equation. x^2+y^2+18x+14y+105=0.

What is the center of this circle ?

What is the radius of this circle ?

Since equation of the circle has been given by the equation,

x² + y² + 18x + 14y + 105 = 0

Now we will convert this equation to the standard form of the circle.

x² + 18x + y² + 14y = -105

[x² + 2(9)x] + [y² + 2(7)x] = -105

[x² + 2(9)x + 9²] + [y² + 2(7)y + 7²] = 9² + 7² - 105

(x + 9)² + (y + 7)² = 81 + 49 - 105

(x + 9)² + (y + 7)² = 25

(x + 9)² + (y + 7)² = 5²

By comparing this equation with the standard equation of the circle → (x - h)² + (y - k)² = r²

Center of the circle is (-9, -7) and radius of the circle is 5 units.

8 0

3 years ago

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