Answer:
and 
Step-by-step explanation:
The ratios of sine and cos are defined as follows:
, and
The hypotenuse is always the side opposite of the 90 degree angle (for the given triangle, the hypotenuse is 85)
Since we are looking at the angle A, the opposite side with respect to A would be the side length of 84. That leaves the side 13 as the adjacent side.
Thus, we can now write:
The correct answer is the first answer choice.
Answer:
I cannot not give the correct solution, need more context. How many children are there, how many adults are in the family? So I will explain in my explanation.
Step-by-step explanation:
If more context were given, for example:<em> 2 adults and 2 children.</em>
Then the bakers would have bought 2 adult tickets for ___ each
Then the bakers would have bought 3 children's tickets for ___ each
So using what we know we can create an equation:
<em>2A+3C=28</em>,<em> </em>
meaning 2 adult tickets plus 3 children's tickets costs a total of $28.
So we divide 28 by 5, which is the total amount of tickets.
28/5=5.6
So to figure the cost of children's tickets multiply the cost by amount.
3*$5.6=$16.8, C=16.8
To figure out the cost of the adults tickets multiple the cost by the amount.
2*$5.6=$11.2, A=11.2
a) the bakers would have bought <u>2</u> adult tickets for <u>5.6</u> each.
b) the bakers would have bought <u>3</u> children's tickets for <u>5.6</u> each.
Answer:
32/225 ≈ 0.1422
Step-by-step explanation:
If you consider "3-digit" numbers to be between 100 and 999, inclusive, there are 128 such numbers divisible by 7. The probability of choosing one at random is ...
128/900 = 32/225 = 0.1422...(repeating)
__
If you consider all non-negative integers less than 1000 to be "3-digit numbers," then the probability is ...
142/1000 = 0.142 (exactly)
Answer:
y=-½x + 1
Step-by-step explanation:
1.) a perpendicular lines uses the opposite inverse of a line so the slope becomes -½x
2.) make an equation that looks as so:
y=-½x+b
the y intercept is unknown so it must be a variable.
3.) substitute the points you are given into the equation:
3=-½(4)+b
4.) solve for b
3=2+b
-2|-2
1=b
4.) place b into the equation
y=-½x + 1
