Answer:
y = 15
Step-by-step explanation:
angle poq + angle qor equals mpor (120)
4y + 3y + 15= 120
7y+15=120
subtract 15 from both sides
7y=150
divide both sides by 7
y=15
check:
4(15) + 3(15) + 15 equals 120
60 + 45 + 15 = 120
120 = 120
John's function : y = 3.5x - 4
Penny's function : y = 3x + 4
C. John's function has a greater rate of change, because 3.5 > 3
X-5.1 = -7.6
+5.1 +5.1
X= -2.5
Solve for x given two sides
Solution
x is an angle hence we are gonna use the formula Sin
Sin 0 = opp/hyp
0 represents theta.
Sin 0 = opp/hyp
Sin 0 = 27/33
Put 27/33 in decimal form
= 0.8181
Transpose to make 0 the subject
Sin 0 = 0.8181
0 = Sin-1 0.8181
When adding Sin from one side to another it becomes Sin inverse.
0 = Sin-1 08181
Now we find the answer
0 = Sin-1 0.8181
= 54.89 degrees
Therefore x is equal to 54.9 to the nearest tenth.
Answer:
There is a 3/20 chance that a red plastic marble will be taken out on random.
Step-by-step explanation:
This is because there are 14 yellow marbles, and 6 red marbles. Along with this, half of the red marbles are made out of plastic. This leaves 3/6 of the red marbles made out of plastic. When combined with the yellow marbles, you'll add 14 to the denominator, since there are 14 yellow marbles. (Red + Yellow = Total Number Of Marbles) This leads to a total count of 3 marbles of the 20 total marbles, being red and made out of plastic.
