Answer:
b=8.5cm
Step-by-step explanation:
tanx (this represents tan theta, it's just easier to type) is equal to 0.6 and since the tanx ratio is opp/adj, we know that opp/adj = 0.6
To find what b is (adjacent as it is adjacent to the angle being used and it is not the hypotenuse), we just have to rearrange.
0.6=5.1/adj
to solve for adj, we can switch 0.6 and adj. (This works because to get adj by itself on one side you would multiply it to the other side and then divide 0.6 from both sides --> simple algebra)
so then you have
adj=5.1/0.6
adj=8.5cm
(if you want to check your solution you can use pythagoeran theorem, a^2+b^2=c^2) and sub everything in and make sure all the numbers equal the right thing!
Answer:
(a)There are 24 cakes in total
(b)There are 15 pieces of cakes left
Step-by-step explanation:
Let the total cakes=x
Let number of cakes eaten by Mindy=m
Let number of cakes eaten by Troy=t
Now:
m=3
Since m+t=9
3+t=9
t=9-3=6
The Number of Pieces of Cake Left in Total=x-(t+m)
Since Troy had
of the total cake
![\frac{1}{4} of x=6](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%20of%20x%3D6)
![\frac{1}{4} X x=6](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%20X%20x%3D6)
x=6X4=24
(a)There are 24 cakes in total
(b)The Number of Pieces of Cake Left in Total=x-(t+m)=24-9=15 cakes
1/4 divided by 2/5 is 0.025.
If correct please mark Brainliest.
Answer:
(-6, -2)
Step-by-step explanation:
![f(x) = {x}^{2} + 12x + 34](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%2012x%20%2B%2034)
![= f(x) = {1x}^{2} + 12x + 34](https://tex.z-dn.net/?f=%20%3D%20f%28x%29%20%3D%20%20%7B1x%7D%5E%7B2%7D%20%20%2B%2012x%20%2B%2034)
= a = 1, b = 12
![= x = - \frac{12}{2 \times 1}](https://tex.z-dn.net/?f=%20%3D%20x%20%3D%20%20-%20%20%5Cfrac%7B12%7D%7B2%20%5Ctimes%201%7D%20)
![= x = - \frac{12}{2}](https://tex.z-dn.net/?f=%20%3D%20x%20%3D%20%20-%20%20%5Cfrac%7B12%7D%7B2%7D%20)
= x = -6
![= f(x) = {x}^{2} + 12x + 34.. = - 6](https://tex.z-dn.net/?f=%20%3D%20f%28x%29%20%3D%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%2012x%20%2B%2034..%20%3D%20%20-%206)
![= f( - 6) = - 2](https://tex.z-dn.net/?f=%20%3D%20f%28%20-%206%29%20%3D%20%20-%202)
= (-6, -2)
Answer: k = -5
explanation-
distribute: -3k + -21 - 5k + 4= 23
combine: -8k -17 = 23
add 17 to both sides: -8k = 40
divide both sides by -8: k=-5