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Montano1993 [528]
2 years ago
8

In ΔRST, = 93 inches, ∠S=123° and ∠T=28°. Find the length of r, to the nearest 10th of an inch

Mathematics
1 answer:
GalinKa [24]2 years ago
6 0

Answer:

<r=29

Step-by-step explanation:

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For his phone service, Charlie pays a monthly fee of $ 18 , and he pays an additional $ 0.06 per minute of use. The least he has
schepotkina [342]

Answer:

Charlie has used his phone in a month for at least 1404 minutes

Step-by-step explanation:

In order to solve this problem, we must first determine what will our variable be and what it will represent.

Let's say our variable is x and it will represent the number of minutes Charlie has used his phone.

After we set our variable up, we can set our equation up. The problem states that Charlie will pay a monthly fee of $18 and additional $0.06 per minute of use. The $18 is what is called a fixed cost and the $0.06 is the variable cost, which will depend on our variable x (the number of minutes spent). Taking this into account we can build an inequality that will represent the amount of money spent in a month, which will look like this:

18+0.06x\geq 102.24

so now we can solve that inequality for x, we can start by subtracting 18 from both sides, so we get.

18+0.06x-18\geq 102.24-18\\\\0.06x\geq 84.24

Next, we can divide both sides of the inequality by 0.06 so we get:

0.06x/0.06\geq 84.24/0.06\\\\x\geq 1404

so that's where the answer came from. Charly has used an amount of at least 1404 minutes

7 0
4 years ago
The function f(t)= 5 tan 2 t, does not have an amplitude and has a period of π.
trasher [3.6K]

ANSWER

False

EXPLANATION

The tangent function has no amplitude because it is not bounded.

The given tangent function is

f(t) = 5 \tan(2t)

This is of the form

f(t)=a tan(bt)

The period is given by

T =  \frac{\pi}{ |b| }

T =  \frac{\pi}{ |2| }  =  \frac{\pi}{2}

The first statement is true but the second is false.

Hence the whole statement is false.

8 0
3 years ago
Read 2 more answers
Circumference (rounding)
KonstantinChe [14]

Answer:

41

Step-by-step explanation:

13 cm × 3.14 ( pi )

will give you

40.82 = 41

3 0
3 years ago
Read 2 more answers
1. Marisol is preparing a care package to send to her brother. The package will include a board game that weighs 4 pounds and se
Sladkaya [172]

The content of care package would be a board game and several snack packs.

Given is the weight of board game = 4 pounds.

The weight of one snack pack = \frac{1}{2} \;pounds = 0.5 \;pounds

The total weight would be less than 25 pounds.


Solving for part A :

Let 'x' represents the number of snack packs.

So the weight of all snack packs would be 0.5x pounds.

Now weight of care pack = weight of board game + weight of all snack packs.

weight of care pack = 4 + 0.5x

But total weight must be less than 25 pounds.

So the inequality would be: 4 + 0.5x < 25


Solving for part B :

Solving the inequality 4 + 0.5x < 25

⇒ 4 + 0.5x - 4 < 25 - 4

⇒ 0.5x < 21

⇒ x < 42


Solving for part C :

Since x < 42 and x is an integer number, so x = 41.

She can include maximum of 41 snack packs in the care package.

7 0
3 years ago
What is the difference &amp; similarities of matter and mass ?
Tamiku [17]
 that differences are that mass is a measurement of the amount of matter something contains  and mass is measured by using a balance comparing a known amount of matter to an unknow of matter
5 0
3 years ago
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