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3 years ago

If Angle A = 5x-10, find the value(s) for x that would ensure that Angle A was an obtuse angle.

Mathematics

1 answer:

morpeh [17]3 years ago

3 0

Answer:

20 < x < 38.

Step-by-step explanation:

An obtuse angle has a value between 90 and 180.

90 < 5x - 10 < 180

5x - 10 > 90

5x > 100.

x > 20.

5x - 10< 180

5x < 190

x < 38

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What is <img src="https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B5%7D%20%29%5E%7B4%7D" id="TexFormula1" title="(\frac{1}{5} )^{4}"

DanielleElmas [232]

$\sf{Hey!}$

$\boxed{\underline{Question:}}$

$(\frac{1}{5})^4 = \frac{1}{632}$

If you want the decimal.

$^A^n^s^w^e^r^~:$

$0.0016.$

$\huge\bold{\textbf{\textsf{{\color{EXPLANATION :}{}}}}}$

Apply exponent rule: $(\frac{a}{b})^c =\frac{a^c}{b^c}$

= $\frac{1^4}{5^4}$

$1^4=1$

$=\frac{1}{5^4}$

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5 0

2 years ago

In a sewage treatment plant, a large concrete tank initially contains 440,000 liters of liquid and 10,000 kg of fine suspended s

viva [34]

Answer:

$Concentration = 8.26kg/m^3$

Step-by-step explanation:

Given

$V = 440000L$ --- volume of tank

$m = 10,000 kg$ --- solid mass

$r = 40000L/hr$ --- outflow rate

Required

Determine the concentration at the end of 4 hours

First, calculate the amount of liquid that has been replaced at the end of the 4 hours.

$Amount = r * Time$

$Amount = 40000L/hr * 4hr$

$Amount = 40000L * 4$

$Amount = 160000L$

This implies that, over the 4 hours; The tank has 160000 liters of liquid out of 440000 liters were replaced

Calculate the ratio of the liquid replaced.

$Ratio = \frac{Amount}{Volume}$

$Ratio = \frac{160000L}{440000L}$

$Ratio = \frac{16}{44}$

$Ratio = \frac{4}{11}$

Next, calculate the amount of solid left.

$Amount (Solid)= Ratio * m$

$Amount (Solid)= \frac{4}{11} * 10000kg$

$Amount (Solid)= \frac{40000}{11}kg$

$Amount (Solid)= 3636kg$

Lastly, the concentration is calculated as:

$Concentration = \frac{Amount (Solid)}{Volume}$

$Concentration = \frac{3636kg}{440000L}$

Convert L to cubic meters

$Concentration = \frac{3636kg}{440000* 0.001m^3}$

$Concentration = \frac{3636kg}{440m^3}$

$Concentration = 8.26kg/m^3$

3 0

3 years ago

If G( x ) = 3 x + 1, then G -1 (1) is...<br><br> -1/3<br> -4<br> -0

GarryVolchara [31]

Answer:

-4

Step-by-step explanation:

3+1 = 4 so just put a dash at the start and you ger -4

5 0

2 years ago

Select the correct answer. which data set is the farthest from a normal distribution? a. 2, 3, 3, 4, 4, 4, 5, 5, 6 b. 3, 4, 5, 6

tigry1 [53]

The answer choice which is the farthest from a normal distribution is; Choice E; 2, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 10.

<h3>Which data set is farthest from a normal distribution?</h3>

A normal distribution, is a data set which when graphed must follow a bell-shaped symmetrical curve centered around the mean. Additionally, such distribution must adhere to the empirical rule that indicates the percentage of the data set that falls within (plus or minus) 1, 2 and 3 standard deviations of the mean.

On this note, upon evaluation of the data sets, it follows that answer choice E represents the data set that's most farthest from a normal distribution.

Read more on normal distribution;

brainly.com/question/26678388

#SPJ4

4 0

2 years ago

What is the greatest common factor of the following terms?<br> 20x4y3, 26x5y3 and 12x2y3

Lena [83]

Answer:

2x²y³

<em>good luck, i hope this helps :)</em>

8 0

3 years ago