Answer:
y=2.4
Step-by-step explanation:
9y-2+y=5y+10
(combine like terms)
10y-2=5y+10
(subtract 5y from both sides)
5y-2=10
(add 2 to both sides)
5y=12
(divide both sides by 5)
y=2.4
Answer:
110
Step-by-step explanation:
180 - 70 = 110
First you should write what you know since we don't know how many helmets we will use x
helmets - 5(x)
bats - 3(6x)
then write out the equation
5(x)+3(6x)=4600
then solve so first multiple 5 times x and multiply 3 and 6x
5x+18x=4600
then combine like terms which are 5x and 18x
23x=4600
then divide both sides by 23
x=200
200is the number of helmets and since there are six times the bats as helmets you multiply that by six and get
helmets=200
bats=1200
Answer:
Step-by-step explanation:
We would apply the law of Cosines which is expressed as
a² = b² + c² - 2abCosA
Where a,b and c are the length of each side of the triangle and A is the angle corresponding to a. Likening the expression to the given triangle, it becomes
JK² = JL² + KL² - 2(JL × KL)Cos10
JK² = 61² + 53² - 2(61 × 53)Cos10
JK² = 3721 + 2809 - 6466Cos10
JK² = 6530 - 6367.767
JK² = 162.233
Taking square root of both sides of the equation, it becomes
JK = √162.233
JK = 12.73 to the nearest tenth
