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2 years ago

I want to know what is the answer to this?

Mathematics

1 answer:

nevsk [136]2 years ago

4 0

Answer:

x = 1.5 $\sqrt{14}$

Step-by-step explanation:

since the triangle is right we can use the trig. ratio sine to solve

sin 45° = $\frac{opposite}{hypotenuse}$ = $\frac{1.5\sqrt{7} }{x}$

multiply both sides by x

x sin45° = 1.5 $\sqrt{7}$

using sin45° = $\frac{1}{\sqrt{2} }$ , then

x × $\frac{1}{\sqrt{2} }$ = 1.5 $\sqrt{7}$

multiply both sides by $\sqrt{2}$

x = 1.5 $\sqrt{7}$ × $\sqrt{2}$ = 1.5 $\sqrt{14}$

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I need help big time

S_A_V [24]

Answer:

addition proprerty

Step-by-step explanation:

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2 years ago

Use the bar diagram to write an equation. Then solve. Drag numbers to complete the equations.

N76 [4]

Answer/Step-by-step explanation:

The value of x can be solved as follows, take note of the numbers you will need to drag to complete the equations:

4x + 12x = 320 (segment addition postulate)

16x = 320 (combining like terms)

x = 20 (dividing both sides by 16)

We would end up with the value of x, which equals 20.

Numbers that we end up using are: 12, 16, 20, and 320.

3 0

3 years ago

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