Answer:
√161 yd
Step-by-step explanation:
Hi there!
We're given a right triangle (notice the right angle), the measure of one of the legs (one of the sides that make up the right angle) as 8 yd, and the hypotenuse (the side opposite to the right angle) as 15 yd.
We need to find x, which is the other leg in the triangle
If we are given 2 sides and need to find a third, we can use Pythagorean Theorem, which states that a²+b²=c² if a and b are legs and c is the hypotenuse
In this case, a=8, b=x, and c=15
So let's substitute those values into the formula
(8)²+x²=(15)²
raise everything to the second power
64+x²=225
subtract 64 from both sides
x²=161
take the square root of both x and 161
x=√161, x=-√161
-√161 cannot work in this case, as distance cannot be negative.
The question asks for the answer to be in simplified radical form, but √161 cannot be simplified down further
so the answer is <u>√161 yd</u>
Hope this helps! :)
Step-by-step explanation:
Use the distributive formula to solve for n:
-a(b + c) = -ab - ac
So, to solve this you would have to use the distributive property:
-1/3n - 5 = -2
Add 5 to both sides
-1/3n - 5 + 5 = -2 + 5
-1/3n = 3
Now, multiply -3 from both sides
-1/3 * -3 n = 3 * -3
Simplify
n = -9
Hope that helped!!
~A̷l̷i̷s̷h̷e̷a̷♡
Answer:
x= -2/9
Step-by-step explanation:
2(x-2)/5=4x
2(x-2)=4x*5
2(x-2)=20x
x-2=20x/2
x-2=10x
-2=10x-x
9x= -2
x= -2/9
Answer:
130 crates
Step-by-step explanation:
270,000/90=3000/23
3000/23=130.43
rounded: 130 crates
Do 4.25 divided by 16 witch equals 0.2656625 but you have to round it to 0.27/oz. do 4.55 divided by 20 witch is 0.2275 but you have to round to 0.23/oz now witch is better 0.27 or 0.23 so a 4.55 dollars for a20 oz drink is the better buy