To find the length of the wire, use the Pythagorean theorem

a^2 + b^2 = c^2
18^2 + 40^2 = c ^2
324 + 1600 = c^2
1924 = c^2
44 = c

The wire is approximately 44 feet.

8 0

3 years ago

Int he figure below find AC

Ahat [919]

Given :-

Two triangles with their two angles equal .

To Find :-

Measure of AC .

Answer :-

Here in ∆ABC and ∆EDC ,

$\angle$ CAB = $\angle$ CED (given )
$\angle$ CBA = $\angle$ CDE (given)

Therefore by AA similarity criterion , we can say that ∆ABC ~ ∆EDC . Also we know that corresponding sides of similar triangles are proportional . So ,

→ AC/EC = BC/DC

→ AC/9 = 8/12

→ AC = 8/12 * 9

→ AC = 6

Hence the measure of side AC is 6 .

I hope this helps.

7 0

3 years ago

Y is inversely proportional to a^3

Ludmilka [50]

Answer:

y = 0.64/x^3

Step-by-step explanation:

If y is inversely proportional to a^3, we can write the equation:

y * a^3 = k

Using a = 2 and y = 10, we have:

10 * 2^3 = k

k = 80

If a is directly proportional to x, we can write the equation:

a = c * x

Using x = 4 and a = 20, we have:

20 = c * 4

c = 5

Now, using the value of a = 5*x in the equation y * a^3 = 80, we have:

y * (5x)^3 = 80

y * 125x3 = 80

y = 80/(125x3) = 0.64/x^3

6 0

3 years ago

Identify the angle of depression. 3 6 4 5

dsp73

Answer: Angle 4

Step-by-step explanation:

The angle of depression is formed by the line of sight and the horizontal line tangent to the top of the observer.

5 0

2 years ago