Answer:
D. x= 28, 2=23; Use corresponding and supplementary angles.
Step-by-step explanation:
The degrees of (5y-4)° and 3y° both (added together) sum up to 180 degrees.
So the equation would be: (5y-4)+3y= 180.
Step 1- Add common variables.
(5y+3y)-4= 180
8y-4= 180
Step 2- Add 4 to both sides.
8y-4= 180
<u> +4 +4</u>
8y= 184
Step 3- Divide both sides by 8.
<u>8y</u>= <u>184</u>
8 8
y= 23
Now that we know what the variable y equals to, we can now solve for x. The equation would be: 3y=(2x+13).
Step 1- Substitute the known variable.
3(23)=2x+13
69= 2x+13
Step 2- Subtract 13 to both sides.
69= 2x+13
<u>-13 -13</u>
56= 2x
Step 3- Divide both sides by 2.
<u>56</u>= <u>2x</u>
2 2
x= 28
Hope this helps! :)
Answer:
4289.03 metres
Step-by-step explanation:
Given that standing on one side of the Mississippi River, you notice a tall tree directly across from you on the opposite bank. You walk 2000 meters along the bank and the tree is still visible, but at an angle of 65° to the bank
Visualise the right triangle formed by the river directly across in the first position , 2000 metres the distance walked along the bank and the line (here hypotenuse) joining you new position and the vertex opposite the bank
We have 65 degress angle has opposite side as width of river and adjacent side as 2000 m
Using trignometrical ratio
we get
, where x is the width of river
metres
Originally:
Total liquid volume = 1 L
Sugar volume = 10% of 1L = 0.1 L
Finally:
Sugar volume = (1/4) of 0.1 L = 0.025 L
Total liquid volume = 1 L
Percentage of sugar = 100*0.025 = 2.5%
Answer: 2.5%
Circumference: C=2pir
C stands for circumference. pi is 3.14... and r is the radius.
of course, you can always do, C=pid. where d is diameter because the radius is half the diameter
Area: A=pir^2
A stands for the Area, pi stands for 3.14... r stands for radius, and the little ^2 is the equation squared. The way to solve that is square the radius and then multiply what you got from squaring the radius by pi.
DO NOT replace radius with the diameter when trying to find the Area
Answer:
its 1/3
Step-by-step explanation:
its because the chances of rolling every single type of roll, (such as 1 and 1, 1 and 2, 1 and 3, etc. is well around 36 possibilities. SIMPLIFIED into 1/3.
