Answer: -26=p
Explanation: The slope formula is m=(y2-y1)/(x2-x1).
Thus, we have 6=(2-p)/(-10-(-6)).
Combining the xs gives us 6=(2-p)/-4.
Multiplying both sides by -4 leaves us with -24=2-p.
We do -24-2 to isolate p and find that p=-26.
Hey there! I'm happy to help!
The percent in the problem is 60% (as it has a percent time).
The base is the number we start with, so it is 485.
The amount is the percent of the base. As a decimal, 60% is 0.6. So, we just multiply this by 485.
0.6×485=291
Therefore, the amount is 291.
AMOUNT: 291
BASE: 485
PERCENT: 60%
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Answer:
perimeter of ΔDEF ≈ 32
Step-by-step explanation:
To find the perimeter of the triangle, we will follow the steps below:
First, we will find the length of the side of the triangle DE and FF
To find the length DE, we will use the sine rule
angle E = 49 degrees
e= DF = 10
angle F = 42 degrees
f= DE =?
we can now insert the values into the formula
=
cross-multiply
f sin 49° = 10 sin 42°
Divide both-side by sin 49°
f = 10 sin 42° / sin 49°
f≈8.866
which implies DE ≈8.866
We will now proceed to find side EF
To do that we need to find angle D
angle D + angle E + angle F = 180° (sum of interior angle)
angle D + 49° + 42° = 180°
angle D + 91° = 180°
angle D= 180° - 91°
angle D = 89°
Using the sine rule to find the side EF
angle E = 49 degrees
e= DF = 10
ange D = 89 degrees
d= EF = ?
we can now proceed to insert the values into the formula
=
cross-multiply
d sin 49° = 10 sin 89°
divide both-side of the equation by sin 49°
d= 10 sin 89°/sin 49°
d≈13.248
This implies that length EF = 13.248
perimeter of ΔDEF = length DE + length EF + length DF
=13.248 + 8.866 + 10
=32.144
≈ 32 to the nearest whole number
perimeter of ΔDEF ≈ 32
Answer:
Step-by-step explanation:
A)
these are the intervals of people who are at least adults and are mature enough to take the survey seriously and answer correctly.
B)
You can say with 95 percent certain of the real mean of the population, but you acknowledge that due to difficulties such as, sampling error, real-life problems such as bad weather, bad vision of the surveyed, not knowing the language and due to bad wording, your answers are unsure is the range of 8 percent due the fluctuation of data caused by bad circumstances.
C)
I believe there should be a quota of 50 to 50 percent to make the data the most equal, though I understand that there may not be an equal distribution of land and cell lines among the U.S. mature populace.
D)
(Since I don't have the data, I can't answer part 4)
Ella bought 8 keychains. She spent 4 dollars on each KeyChain. Hope this helps
