Answer:
tan (A-B) = ± 4/3
Step-by-step explanation:
COS (A-B) = 3/5
COS² (A-B) = (3/5)² = 9/25 = 1 - sin² (A-B)
sin² (A-B) = 1 - 9/25 = 16/25
sin (A-B) = ± 4/5
tan (A-B) = sin (A-B) / cos (A-B) = (± 4/5) / (3/5) = ± 4/3
1/3 because on total has to be 1 or 9/9 but if she use 3 yards of 9/9 then she use 3/9 and if you simplify is 1/3
4/29 is the probability that a student who did not complete the homework passed the test.
<u>Step-by-step explanation:</u>
It is given that,
There are 29 students in a math class.
Two types of students who passed the test and are not passed the test.
The other two types of students are who completed the assignment and did not complete the assignment.
So, the given data can be formed as a table.
- There were 22 students who passed the test.
- There were 20 students who completed the assignment.
- There were 18 students who passed the test and also completed the assignment.
Passed the test Not passed the test Total
Completed assignment 18 - 20
Not completed assignment x - -
Total 22 - 29
Now, you need to find the probability that a student who did not complete the homework passed the test.
⇒ No.of students completed assignment passed the test / Total students.
<u>To find the no.of students completed assignment passed the test :</u>
Let 'x' is the no.of students completed assignment passed the test.
⇒ 18+x = 22
⇒ x = 22 - 18
⇒ x = 4
∴ P(students completed assignment passed the test) = 4 / 29.
Hey there!
First, let's look at what perpendicular means. Imagine a cross, where there's all 90 degree angles. That's exactly what we're talking about when we say perpendicular. The given equation is in slope-intercept form, where we have:
y = mx + b
where m is the slope and b is the y-intercept.
When we're writing an equation with a perpendicular slope, we use the negative reciprocal of the given slope. Thus, we can make 0.3 1/3, and take the reciprocal to make 3, and make it negative 3 as it's the negative reciprocal. Now, we know we have a line with the slope of -3 and goes through (-3, 8). We can use the x and y values in this set of points, along with the slope, to create an equation to solve for b. That gives us:
8 = -3(-3) + b
8 = -9 + b
17 = b
Now, since we have slope and y-intercept, we can write our equation as:
y = -3x + 17
Hope this helps!
Answer:
3
Step-by-step explanation:
w= x
l= x-4
x(x-4) = 45
x^2-4x = 45
