Answer:
42.3°
Step-by-step explanation:
Use SOH-CAH-TOA (O=opposite, A=adjacent, H=hypotenuse) we see that they give us the angle missing, x, but we first need to identify what method to use. They give us the opposite side from the angle, and they also give us the adjacent side from the angle, so TOA=tan.
now plug it in, since there is no angle then we plug it in as 
in the calculator, (be sure to be in degree mode)
x= 42.3°
(does that make sense)
Answer:
Step-by-step explanation:
Joseph : y = 25x + 15
Molly: y = 25x + 25
Joseph: y = 25(4)+ 15= 100+ 15= 115
Molly: y = 25(4)+ 25= 100+25= 125
Answer:
C. 55°
Step-by-step explanation:
Note the total measurement of angles for a triangle. The total measurement of all angles in a triangle = 180°
Note that m∠C is a right angle (as shown through the square), and that right angles = 90°
Subtract to find the measurement of the unknown angle (∠B)
∠B = 180 - (∠A + ∠C)
∠B = 180 - (35 + 90)
Simplify. Combine like terms. First, add (solve parenthesis), then subtract.
∠B = 180 - (125)
∠B = 55
m∠B = C. 55°
~
Answer:
Step-by-step explanation:
Answer:
3/4 gallons of juice
Step-by-step explanation:
Katie bought 2 one-gallon bottles for a party.
2 one-gallon bottles = 2-gallon bottles of juice
We are told that:
Her guest drank 5/4 gallons of juice.
The fraction of juice leftover is calculated as:
2 gallons of juice - 5/4 gallons of juice
2 - 5/4
Lowest Common Denominator = 4
2/1 - 5/4
= 8 - 5/4
= 3/4 gallons of juice
Therefore, the fraction of juice leftover is 3/4 gallons of juice
