<u>Answer:</u>
The measure of the supplement of an angle is 20° More than three times the measure of the original angle. The angles are 40 degrees and 140 degrees.
<u>Solution:</u>
Given, The measure of the supplement of an angle is 20° More than three times the measure of the original angle.
We have to Find the measures of the angles.
Let the original angle be n degrees.
We know that, sum of supplementary angles is 180, then, supplementary angle of n will be 180 – n.
Now according to the given information, 180 – n = 20 + 3 x n
180 – n = 20 + 3n
3n + n = 180 – 20
4n = 160
n = 40
Then, supplementary angle is 180 – 40 = 140 degrees.
Hence, the measures of two supplementary angles are 40 degrees and 140 degrees.
Answer:
Yes.
Step-by-step explanation:
Though x and y can be achieved in a system of equations. The equation
x (t)=0.0411905(t^2)+(-0.164619)t+28.0114
And
y (t)=-0.024127(t^2)+(-0.591143)t+(-87.4403)
Are not system of equations but rather two different models of equations. Nevertheless
To find t in the first equation, x(t) has to be equal to zero.
When the t is substituted in the second equation, t will completely disappear. Given the value of y(t) and vice versa.
Answer:
(a) P(A1 ∪ A2) = 0.35
Step-by-step explanation:
(a) A1 ∪ A2 :
We start by defining the events.
A1 : '' awarded project 1''
A2 : ''awarded project 2''
A3: ''awarded project 3''
In set theory we write the union of events A and B as A∪B.
A∪B means that the event A occurs,event B occurs or either both events occurs at the same time.
The probability is given by the equation :
P(A∪B) = P(A) + P(B) - P(A∩B) (1)
Where the event (A∩B) is the event where A and B occur at the same time
and P(A∩B) is the probability of (A∩B)
Using the equation (1) :
P(A1 ∪ A2) = P(A1) + P(A2) - P(A1∩A2)
P(A1 ∪ A2) = 0.22 + 0.25 - 0.12
P(A1 ∪ A2) = 0.35
Answer:
Step-by-step explanation: x = 6
Subtract 4 from -2 to get -6. Then divide -6 by -x to get x = 6
Answer:
Step-by-step explanation:
because <u>c</u> is shorter than<u> a</u> we know C is a smaller angle than A
so the first choice is out.
use the law of cosines to find b
= 
=1681+400-1326.787871
= 754.21219
b= 
b= 27.46292
so the last choice looks good
