Answer:
The Answer is A.) -4
Step-by-step explanation:
The plane PRS passes through the points P, R and S. So it contains the line RS. Also the plane QRS passes through the points Q, R and S. So it contains the line RS as well. Since both the planes contain the line RS, the line RS must be the intersection of plane PRS and QRS
Answer:
x=31 is the required number.
Step-by-step explanation:
Let the number be represented as "x".
Then, According to the statement given, "x" exceeds by as much as 44 exceed the number, then the equation can be written as:
⇒
⇒
⇒
⇒
Hence, the required number is x =31.
Answer:
There are 60 total questions on the course exam.
Step-by-step explanation:
Given that:
Number of questions finished by Jasmine = 12
Percentage shown on the bar = 20%
The total number of questions will be 100%, therefore, 20% of the questions are equal to 12.
Let,
x be the total number of questions on the course exam
20% of x = 12

Dividing both sides by 0.2

Hence,
There are 60 total questions on the course exam.
1/sin^2x-1/tan^2x=
1/sin^2x-1/ (sin^2x/cos^2x)<<sin tan= sin/cos>>
= 1/sin^2x- cos^2x / sin^2x
= (1- cos^2x) / sin^2x <<combining into a single fraction>>
sin^2 x / sin^2x <<since 1- cos^2 x sin^2 x
=1
this simplifies to 1.