All categories

2 years ago

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Mathematics

2 answers:

Vera_Pavlovna [14]2 years ago

7 0

Answer:

Step-by-step explanation:

We are dealing with similaraty and similar shapes length are in proportion so we are going to set up an proportion.

Length of left triangle small side/ Length of left triangle long side= length of right triangle small side/length of right triangle long side

4/10=x/20

Cross multiply: 10x=80

x=8

Gnom [1K]2 years ago

7 0

Answer:

x = 8 inches

Step-by-step explanation:

As the triangles are similar, their corresponding sides will have same ratio:

left short side /right short side = left long side / right long side

or simpler

s₁/s₂ = l₁/l₂

Substitute values to find the missing one:

4/x = 10/20
4/x = 1/2
x = 4*2
x = 8

The missing side is 8 inches long

You might be interested in

Please help me with this dont guess pls!

dexar [7]

Answer:

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

Hey need help real quick! factor x^2 - 4x^3

dezoksy [38]

Answer: x^2(1-4x)
Explanation: factor x^2 out of x^2 - 4x^3

4 0

2 years ago

What is the measure of the missing angle? 125 125° 03 O 13° O 42°

Dahasolnce [82]

Answer:

The correct answer is C. 13

Step-by-step explanation:

It is 13 because all triangles equal 180

so 125+42+13=180

5 0

2 years ago

Use the grouping method to factor x^3+x^2+3x+3

maks197457 [2]

Answer:

(x^2 + 3)(x + 1).

Step-by-step explanation:

x^3 + x^2 + 3x + 3

= x^2(x + 1) + 3(x + 1)

= (x^2 + 3)(x + 1).

7 0

2 years ago

A guitar string is plucked at a distance of 0.6 centimeters above its resting position and then released, causing vibration. The

liubo4ka [24]

Answer:

The equation that represents the motion of the string is given by:

$y =Ae^{-kt}\cos(2\pi ft)$ .....[1] where t represents the time in second.

Given that: A = 0.6 cm (distance above its resting position) , k = 1.8(damping constant) and frequency(f) = 105 cycles per second.

Substitute the given values in [1] we get;

$y =0.6e^{-1.8t}\cos(2\pi 105t)$

$y =0.6e^{-1.8t}\cos(210\pi t)$

(a)

The trigonometric function that models the motion of the string is given by:

$y =0.6e^{-1.8t}\cos(210\pi t)$

(b)

Determine the amount of time t that it takes the string to be damped so that $-0.24\leq y \leq0.24$

Using graphing calculator for the equation

$y =0.6e^{-1.8x}\cos(210\pi x)$

let x = t (time in sec)

Graph as shown below in the attachment:

we get:

the amount of time t that it takes the string to be damped so that $-0.24\leq y \leq0.24$ is, 0.5 sec

4 0

3 years ago