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Artemon [7]
3 years ago
7

The ratio of the measures of the angles of a triangle is 4:6:8. Find the measure of the largest angle.

Mathematics
1 answer:
garri49 [273]3 years ago
3 0

Answer:

80°

Step-by-step explanation:

The angles can be written as 4x, 6x, and 8x. Since the sum of angles in a triangle is 180 degrees we can write:

4x + 6x + 8x = 180

18x = 180

x = 10 which means the largest angle (8x) = 8 * 10 = 80°

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The revenue each season from tickets at the theme part is represented by t(x) = 3x. The cost to pay the employees each season is
Triss [41]

Answer: The profit after 5 seasons is $239.94.

Step-by-step explanation:

Since we have given that

Revenue function is given by

t(x)=3^x

Cost function is given by

r(x)=1.25^x

So, We need to find the total profit:

As we know the formula for profit:

Profit = Revenue - Cost

P(x)=t(x)-r(x)\\\\P(x)=3^x-1.25^x

We need to evaluate the profit after five seasons:

P(5)=3^5-1.25^5\\\\P(5)=\$239.94

Hence, the profit after 5 seasons is $239.94.

5 0
3 years ago
Read 2 more answers
4|x-2|-12 = 0<br> Absolute Value &amp; Set in notation
Sphinxa [80]

Answer:

x= 5 , x = -1

Step-by-step explanation:

4|x-2|=12

|x-2| = 3

x-2 = 3

x = 5

x-2 = -3

x= -1

8 0
3 years ago
Read 2 more answers
What is the value of the expression below when simplified?<br><br> 4[5(3 − 1)]2 − 23
Setler [38]
Simplify the expression.
57
Hope this helps! :)
Happy New Year!
7 0
3 years ago
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Ivision (Level 1)<br> AM<br> lt when 3x3 + 8x2 + 20x + 25 is divided by 3x + 5?<br> Submit Answer
labwork [276]

Answer: =3x^3+8x&2+  85 /3  x+5

Step-by-step explanation:

3x3+8x2+20x+25 ÷ 3x+5

= 3x^3+8x^2+20x+25/3 x + 5

= (3x3)+(8x2)+(20x+ 25/3 x)+(5)

=3x^3+8x&2+  85 /3  x+5

3 0
3 years ago
Find all the numbers such that the number added to itself is less than the number subtracted from 6
gizmo_the_mogwai [7]

Answer:

All numbers less than 2 or (-\infty, 1] or (-\infty, 2)

Step-by-step explanation:

Given that:

Number is added to itself is less than the number subtracted from 6.

To find:

All such numbers.

Solution:

Let the number be x.

Here, an inequality will be made.

When solved, it might give more than one answers.

As per the question statement, let us write the inequality.

Number added to itself \Rightarrow x +x =2x

Number subtracted from six = 6-x

As per question:

2x

So, the answer is:

All numbers less than 2 or (-\infty, 1] or (-\infty, 2).

4 0
3 years ago
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