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2 years ago

Find the value of x in the figure below

Mathematics

1 answer:

Sonbull [250]2 years ago

8 0

Answer:

Step-by-step explanation:

x = 1.0

how:

we know that the Hyp of the small triangle is $\sqrt{2}$

since we know that , then

$\sqrt{2}$ = 1^2 + 1^2 by Pythagoras theorem

so each side is 1 :)

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The Garden Task

Igoryamba

If the perimeter of the garden is (14x - 32) ft and has a side length of (x + 2) ft:

the perimeter = 24 ft
the area = 36 sq. ft
if the perimeter of the garden is doubled, the perimeter of the new garden = 48 ft
if the area of the garden is doubled, the area of the new garden = 72 sq. ft

Recall:

A square has equal side lengths
Perimeter of a square = 4(side length)
Area of a square = $(side $ length)^2$

Given:

Perimeter of square (P) = $(14x - 32) $ ft$

Side length (s) = $(x + 2) $ ft$

First, let's find the value of x by creating an equation using the perimeter formula:

Perimeter of a square = 4(side length)

Plug in the values

$(14x - 32) = 4(x + 2)$

Solve for x

$14x - 32 = 4x + 8\\\\14x - 4x = 32 + 8\\\\10x = 40\\\\x = 4$

Find how much fencing would be needed (Perimeter of the fence):

Perimeter of the fence = $(14x - 32) $ ft$

Plug in the value of x

Perimeter of the fence = $14(4) - 32 = 24 $ ft$

Find the area of the garden:

Area of the garden = $(side $ length)^2$

Area = $(x + 2)^2$

Plug in the value of x

Area = $(4 + 2)^2 = 6^2 = 36 $ ft^2$

Find the perimeter if the garden size is doubled:

Perimeter of the new garden = 2 x 24 = 48 ft

Find the area if the garden size is doubled:

Perimeter of the new garden = 2 x 36 = 72 sq. ft

In summary, if the perimeter of the garden is (14x - 32) ft and has a side length of (x + 2) ft:

the perimeter = 24 ft
the area = 36 sq. ft
if the perimeter of the garden is doubled, the perimeter of the new garden = 48 ft
if the area of the garden is doubled, the area of the new garden = 72 sq. ft

Learn more here:

brainly.com/question/13511952

4 0

2 years ago

וח

fenix001 [56]

Answer:

The equation solved for V is m/d=V

7 0

3 years ago

Can someone please help me

Rzqust [24]

Answer:

the graph of the function is non-linear

the table can be represented by the equation y=4x+4

Step-by-step explanation:

non linear because 1+7=8 and then 10+2 = 12 so they have different numbers to add each time

represented by the equation because the x numbers (1,2,3,4,) all multiplied by 4 and added by 4 gives you y

any more help just ask :)

3 0

2 years ago

A mountain in boone county is eroding and losing elevation at a rate of 5% every millennium. if the current elevation is 1,710 m

aliina [53]

Answer: 1,393 meters tall

Step-by-step explanation:

Plug in 1710 meters for the initial amount, 0.05 for the rate of decrease, and 4 millennia for the time elapsed.

= a(1–r)t

= 1,710(1–0.05)4 Plug in values

= 1,710(0.95)4 Subtract

= 1,710(0.81450…) Simplify

= 1,392.80568… Multiply

Round to the nearest whole number.

1,392.80568… → 1,393

To the nearest whole number, the mountain will be 1,393 meters tall.

3 0

2 years ago

Which of the following sets of ordered pairs satisfies a linear function? a. (-1,5), 2,10), (3,15), (4,18), (5,22) b. (2,4), (4,

finlep [7]

The best answer is B (2,4), (4,6), (6,8), (8,10).

I hope this helps.

7 0

3 years ago