Answer:
47.45754235
31.46697634
Hey do you need to show your work for these? I found an answer key
Step-by-step explanation:
We need to use law of cosines
c²=a²+b²-2abcos(C)
let x= angle xzy
plugging in what we have the equation looks like
17²=22²+20²-2*22*20*cos(x)
289=484+400-880cos(x)
.676136364=cos(x)
x=47.45754235
b.)
The smallest angle should be opposite to the smallest side
Using the law of cosines again we get
9²=13²+17²-2*13*17*cos(x)
81=458-442cos(x)
.852941176=cos(x)
x=31.46697634
First you will need to multiple 200 by .25 to see how much money Sam will make.
200 x .25 = $50
now you need to subtract that price by 10 because he spent $10 to get the stickers.
50 - 10 = $40
Sam is making $40 off the stickers.
let me know if you have any other questions
:)
X=4
y=-4
hope this helps u out :)
Answer:
20.9 is the answer because To round 20.86 to the nearest tenth consider the hundredths’ value of 20.86, which is 6 and equal or more than 5. Therefore, the tenths value of 20.86 increases by 1 to 9. 20.86 rounded to the nearest tenth = 20.9
Answer:
The solutions of the equation are t = 4(√5 + 1) or 4(√5 - 1).
Step-by-step explanation:
We have to solve the given quadratic equation of single variable t.
The equation is 16 = 2t + 0.25t²
⇒ 0.25t² + 2t - 16 = 0
⇒ 25t² + 200t - 1600 = 0 {Multiplying both sides with 100}
⇒ 25t² + 200t + 400 - 400 - 1600 = 0
⇒ (5t + 20)² - 2000 = 0
⇒ (5t + 20)² - (20√5)² = 0
⇒ (5t + 20 + 20√5)(5t + 20 - 20√5) = 0
So, (5t + 20 + 20√5) = 0 or, (5t + 20 - 20√5) = 0
⇒ (t + 4 + 4√5) = 0 or, (t + 4 - 4√5) = 0
⇒ t = - 4(1 + √5) or, t = 4(√5 - 1) (Answer)
