Y varies directly affects if y equals negative five when x equals 15 find X when y equals three
1 answer:
Well,
We are given a direct proportion problem.
x varies directly as y.
When y = -5, x = 15.
Now, we are told to find x when y = 3.
We just have to recognize that the complete case is equal to the incomplete case. In other words, we set the -3 equal to the x/3.
Multiply both sides by the LCM.
LCM of -1 and 3 = 3
-9 = x
When y = 3, x = -9.
We are given a direct proportion problem.
x varies directly as y.
When y = -5, x = 15.
Now, we are told to find x when y = 3.
We just have to recognize that the complete case is equal to the incomplete case. In other words, we set the -3 equal to the x/3.
Multiply both sides by the LCM.
LCM of -1 and 3 = 3
-9 = x
When y = 3, x = -9.
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Answer and explanation:
Given : Suppose you and a friend each choose at random an integer between 1 and 8, inclusive.
The sample space is
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6) (1,7) (1,8)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6) (2,7) (2,8)
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6) (3,7) (3,8)
(4,1) (4,2) (4,3) (4,4) (4,5) (4,6) (4,7) (4,8)
(5,1) (5,2) (5,3) (5,4) (5,5) (5,6) (5,7) (5,8)
(6,1) (6,2) (6,3) (6,4) (6,5) (6,6) (6,7) (6,8)
(7,1) (7,2) (7,3) (7,4) (7,5) (7,6) (7,7) (7,8)
(8,1) (8,2) (8,3) (8,4) (8,5) (8,6) (8,7) (8,8)
Total number of outcome = 64
To find : The following probabilities ?
Solution :
The probability is given by,
a) p(you pick 5 and your friend picks 8)
The favorable outcome is (5,8)= 1
b) p(sum of the two numbers picked is < 4)
The favorable outcome is (1,1), (1,2), (2,1)= 3
c) p(both numbers match)
The favorable outcome is (1,1), (2,2), (3,3), (4,4), (5,5), (6,6), (7,7), (8,8) = 8
Answer:
Hence measure of arc ACD and arc AC are 340 degrees and 160 degrees respectively.
Step-by-step explanation:
Given:
A Circle with p as center and AB and CD as 2 diameters for a circle.
To Find:
Measure of ACD, and arc AC when arc AD is 20 degrees.
Solution:
<em>As we know that , Diameter is biggest chord which passes through center of circle,</em>
<em>Hence it divides the circle into two equal parts and making center as midpoint of it</em> .
(Refer the attachment)
angle APD=20 degree or arc AD=20 degree.
So AB as diameter ,so arc DB=160 degree or BPD=160 degree as A-B-P are
and angle APD and BPC are vertical opposite angles so they are congruent BPC=20 degree
Now,
points A,C,B,D,A makes circle which measures 360 degrees.
to find ACD
measure of ACD=360-(meaure of arc AD or angle APD)
=360-20
=340 degree.
Now arc AC,
as AB is diameter with p as midpoint ,A-P-B
arc APB=180 and arc BC=20 or angle BPC=20 degrees.
For measure of arc AC= measure of arc APB- arc BC
arc AC=180-20 degrees.
arc AC=160 degrees.
Remember that when you bring ÷ to the other side of the equal sign it'll become multiply instead
