Solve the inequality.<br><br> 2(4+2x)≥5x+

Caleb spent 34.95 on 5 pounds of coffee. how much was the coffee per pound?

horsena [70]

It would be $6.99. All you have to do is divide the total (34.95) by pounds of coffee (5). 34.95 / 5 will give you 6.99! You can check this by doing 6.99 * 5, which would again give you 34.95. Contact me if you need any more help. :^)

4 0

3 years ago

Which method and additional information would prove triangle ONP and triangle MNL similar by the AA similarity postulate?

MA_775_DIABLO [31]

<h3>Answer: Choice B</h3>

Use a rigid transformation to prove that angle NPO is congruent to angle NLM

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

Explanation:

The AA stands for "angle angle". So we need two pairs of angles to prove the triangles to be similar. The first pair of angles is the vertical angles ONP and MNL, which are congruent. Any pair of vertical angles are always congruent.

The second pair of angles could either be

angle NOP = angle NML
angle NPO = angle NLM

so we have a choice on which to pick. The pairing angle NOP = angle NML is not listed in the answer choices, but angle NPO = angle NLM is listed as choice B.

Saying angle NLM = angle LMN is not useful because those two angles are part of the same triangle. The two angles must be in separate triangles to be able to tie the triangles together.

We would use a rigid transformation to have angle NPO move to angle NLM, or vice versa through the use of a rotation and a translation.

5 0

3 years ago

Suppose KLMN ~ PQRS. Find the value of x.

arlik [135]

Complete question is attached.

Answer:

B) 8

Step-by-step explanation:

In this question, KLMN ~ PQRS. This means they are similar shapes.

From the image, we could denote that:

KL ~ PQ

LM ~ QR

Given that:

KL = 12

PQ = 30

QR = 20

LM = x

To find x, let's use tge expression:

$\frac{KL}{PQ} = \frac{LM}{QR}$

$= \frac{12}{30} = \frac{x}{20}$

Cross multiplying, we have:

12 * 20 = 30x

240 = 30x

To find x, let's divide both sides by 30.

$\frac{240}{30} = \frac{30x}{30}$

8 = x

x = 8

The correct option is option B.

3 0

3 years ago

at 111111:55\text{ p.m.}55 p.m.55, start text, space, p, point, m, point, end text, thomas ties a weight to the minute hand of a

Ahat [919]

The trigonometric function's formula, which simulates the torque (tau) that the weight applied t minutes after Thomas attached it is

$3 Sin (\frac{2\frac{22}{7} }{60} (t-51))$

The angular speed of the minutes hand is

$w = \frac{2 (\frac{22}{7}) }{60}$ rad/min

Following the application of weight, the torque as a function of time t is,

$t= t_{0} sin (w (t-5) min)\\ = (3 Nm) sin ((\frac{2 (\frac{22}{7} }{60} ) rad/min (t-5) min)$

$= (3 Nm) sin ( \frac{2 (\frac{22}{7} }{60} (t-5) rad ) \\= 3 sin (\frac{2 \frac{22}{7} }{60} (t-5)$

<h3>What is torque ?</h3>

Torque, which is also known as the moment of a force, is the propensity of a force to rotate the body to which it is applied. Force (F) x Distance (r) = Torque is how torque is calculated. The distance (r) between the pivot point and the force's action point. A vector quantity is a torque. As a vector quantity, torque always has a direction that is perpendicular to the plane that contains the vectors of force and displacement.

To learn more about Torque, visit

brainly.com/question/16042080

#SPJ4

7 0

1 year ago

⚠️I MARK BRAINLIST PIC INCLUDED ⚠️What is the initial value of the sequence?

densk [106]

Answer:

2

Step-by-step explanation:

8 0

2 years ago

Solve the inequality. 2(4+2x)≥5x+