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Lelechka [254]
3 years ago
15

NOTE: Angles not necessarily drawn to scale.

Mathematics
2 answers:
Anastasy [175]3 years ago
7 0

The answer is 13!! :)

AVprozaik [17]3 years ago
3 0
The entire plane is 360°
Each side (top & bottom) is 180°
Each 1/4 section is 90°
With the information given that the angle opposite to x is 77°
And the total angle of that quadrant is 90°
By using the laws of angles.

Then you can calculate 90°-77°=x
So x=13°
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The price of a gallon of unleaded gas was $2.80 yesterday. Today, the price rose to $2.87 . Find the percentage increase. Round
marin [14]
Earlier price is 2.80
Current price is 2.87

Increment is 
2.87 - 2.80
0.07

Increment percentage is
(0.07 / 2.80) * 100
2.5 %
4 0
3 years ago
Find the exact value of csc theta if tan theta = sqrt3 and the terminal side of theta is in Quadrant III.
WARRIOR [948]

Answer:

3rd option

Step-by-step explanation:

Using the identities

cot x = \frac{1}{tanx}

csc² x = 1 + cot² x

Given

tanθ = \sqrt{3} , then cotθ = \frac{1}{\sqrt{3} }

csc²θ = 1 + (\frac{1}{\sqrt{3} } )² = 1 + \frac{1}{3} = \frac{4}{3}

cscθ = ± \sqrt{\frac{4}{3} } = ± \frac{2}{\sqrt{3} }

Since θ is in 3rd quadrant, then cscθ < 0

cscθ = - \frac{2}{\sqrt{3} } × \frac{\sqrt{3} }{\sqrt{3} } = - \frac{2\sqrt{3} }{3}

8 0
3 years ago
1. Given f(x) =1/4 (x – 8), what is the value of f(24)?
goldenfox [79]

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

f(24)=4

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

f(x)=\frac{1}{4}(x-8)\\-----------\\\rightarrow f(24)= \frac{1}{4}(24-8)\\\\\rightarrow f(24) = \frac{1}{4}( 16)\\\\\rightarrow\boxed{f(24)=4}

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

8 0
3 years ago
Read 2 more answers
Two long jumpers competed in a world-class track meet. The first athlete jumped a distance of 28.65 feet, and the second athlete
Elena-2011 [213]
4.40 feet farther than the second athlete
4 0
3 years ago
Read 2 more answers
Finding an irrational number between which given pair of numbers supports the idea that irrational numbers are dense
Fittoniya [83]

Answer:

3.33 and 1/3

Step-by-step explanation:

"Dense" here means that there are infinite irrational numbers between two rational numbers. Also, there are infinite rational numbers between two rational numbers. That's the meaning of dense. Actually, that can be apply to all real numbers, there always is gonna be a number between other two.

But, to demonstrate that irrationals are dense, we have to based on an interval with rational limits, because the theorem about dense sets is about rationals, and the dense irrational set is a deduction from it. That's why the best option is 2, because that's an interval with rational limits.

8 0
3 years ago
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