Answer:
y = -10
Step-by-step explanation:
−3(y+5)=15
Divide each side by -3
−3/-3(y+5)=15/-3
y+5 = -5
Subtract 5 from each side
y+5-5 = -5-5
y = -10
ANSWER
EXPLANATION
The given radical expression is
We rationalize the denominator to get:
This implies that:
We expand using the distributive property and also applying difference of two squares on the denominator.
This will give us,
1.16 rounded to its nearest tenths is 1.2.
The placevalue of a number is given as:
Example:
1234.567
1 = thousand place value
2 = hundred place value
3 = tens place value
4 = ones place value
5 = tenths place value
6 = hundredths place value
7 thousandths place value
We have,
1.16
The number 1 after the decimal point is in the tenthplacevalue.
Now,
Since 6 is greaterthan 5 tenth place value will be rounded to the next number.
So,
1.16 rounded to the nearest tenths.
= 1.2
Thus,
1.16 rounded to its nearest tenths is 1.2.
Learn more about placevalue here:
#SPJ2
Please help!! Answer correctly and no guessing, please!
The first thing you must do is find KL. You use a^2 + b^2 = c^2 to do that.
Then you find the various sines and cosines and Tangents of the angles involved.
Step One
Find KL
a^2 + b^2 = c^2
c = 219
b = 178
a = ??
219^2 = 178^2 + a^2
47061 = 31684 + a^2
a^2 = 48061 - 31684
a^2 = 127.97
Step Two.
Find the sines and cosines of J and L
Choice A
Sin(J) =opposite/hypotenuse = 127/219 = 0.5799
Cos(L) = adjacent/hypotenuse = 127/219 = 0.5799
Conclusion Sin(J) = Cos(L) A is not true. Neither is bigger than the other.
Choice B
Choice B does exactly what Choice A did. The Sin of L is the same thing as the cos(J).
Choice C
C can't be true.
Tan(J) = opposite / Adjacent. = 127/178
Tan(L) = opposite / Adjacent = 178/127
One is larger than 1 and the other one is less than 1. They use the same values but in a different order.
D
We discussed this for choice A. So D is the correct answer
First you need to find out what K and L's angle is
Step #1: Finding L's angle number
to do this you are going to subtract 219-178=?
answer should be 41.
Step #2: Desiding if J is Larger than L
Is 219 Larger than 41? or is 41 larger than 219?
Answer:
Approximately 6.8m
Step-by-step explanation:
We can picture this problem by drawing a rectangular prism with a width of 5m, a depth of 3m, and a height of 3.5m. To find the length from one corner of the floor to the opposite corner of the floor, we can use the pythagorean theorem and plug in the width and depth of the room for a and b:
And now we can solve for c...
c = 5.831m
Now that we have the length from corner to corner across the floor, we can use the pythagorean theorem again, this time using the length from corner to corner across the floor we just derived and the height of the room:
And now we can solve for c again...
c = 6.8m