Answer: x=5√3(you've got it correct!)
y=15
In∆ADC,
Cos 60°=DC/10
DC=5
y=20-5
y=15
Answer:
Step-by-step explanation:
Look at the picture.
ΔABC, ΔDBA and ΔDAC are the triangles 30° - 60° - 90°. The sides are in ratio 1 : √3 : 2.
Therefore
DC : AD : AC = 1 : √3 : 2
If AC = 10, then DC = 10 : 2 = 5 and AD = x = 5√3
AD : BD : AB = 1 : √3 : 2
If AD = 5√3, then AB = 2 · 5√3 = 10√3 and BD = y = 5√3 · √3 = 5 · 3 = 15
3x-2y=19
Y=x-7
Answer:
x = 5 and y = -2
Step-by-step explanation:
Here you have given what y is equal to, this means you can sub this into the first equation:
3x - 2(x - 7) = 19
Expand the brackets:
-2 * x = -2x
-2 * -7 = 14
3x -2x +14 = 19
Move the +14 over to the other side making it a -14:
3x - 2x = 19 - 14
3x - 2x = 5
3x - 2x = x
So x = 5
Now sub this into the first equation:
3(5) - 2y = 19
15 - 2y = 19
Move the -2y over to the other side making it a +2y, and move the +19 over to the other side making it a -19:
15 - 19 = 2y
-4 = 2y
Divide both sides by two:
y = -2
So x = 5 and y = -2
0.43
Remember that
Since the problem is telling us "Among tenth graders", we must focus on the 10th graders row only. From the row, we can infer that the frequency is the number of 10th graders who prefer going to sporting events, so . Now, the sum of all frequencies will be the sum of all the 10th graders, so . Let's replace the values:
And rounded to the nearest hundredth:
Answer:
0.43
Step-by-step explanation:
I took the k12 quiz
Answer:
y = -6
Step-by-step explanation:
y is multiplied by 3 and 20 is added to the sum. We undo these operations in reverse order.
First we subtract 20 from both sides of the equation:
3y = -18
Then we divide both sides of the equation by 3 to undo the multiplication.
y = -18/3 = -6
The solution is y = -6.
2p – 29 = 4
The value of p from the given equation is 16.5.
The given equation is 2p-29=4.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
Transpose -29 to other side of the equation, we get
2p=4+29
2p=33
p=33/2
p=16.5
Therefore, the value of p from the given equation is 16.5.
To learn more about an equation visit:
brainly.com/question/14686792.
#SPJ2
Answer:
p=16.5
Step-by-step explanation:
first you have to use SADMEP
so first you have to move -29 by adding 29 to both sides. both 29s will cancel out. 4+29=33.
the you have so far is 2p=33 opposite of multiplication is division 2p/2p will cancel out. 33/2 =16.5
p=16.5
Hope you get it right please let me know if I got it wrong so I can help change your answer ~ nerd