Answer:
45 degree
Step-by-step explanation:
We are given that
Angle PSR=99 degrees
Angle PSQ=(3x+18) degrees
Angle QSR=(9x-27)degrees
According to question
Angle PSR=Angle PSQ+angle QSR
Substitute the values




Substitute the value of x
Angle PSQ=
Hence, the measure of angle PSQ=45 degree
Answer:
The width of the prism is 2 cm
Step-by-step explanation:
The given parameters are;
The volume of the prism = 170 cm³
The length of the prism = 5 cm
The height of the prism = 17 cm
The volume of the prism is given by the relationship v = Length, l × Height, h × Width, w
Therefore;
The volume of the prism = 5 cm × 17 cm × w = 170 cm³
Which gives;
w = 170 cm³/(5 cm × 17 cm) = 170 cm³/(85 cm) = 2 cm
∴ The width of the prism = 2 cm.
Answer:
120*2.75*60/5280
= 3.75
Step-by-step explanation:
So James is walking at 120 steps a minute, there are 60 minutes in one hour, and 5,280 feet in a mile. So, to find how quickly James is walking, we multiply how many steps he is taking a minute by how much distance each step is (120 * 2.75) that gives us how much distance in one minute, so we then multiply by 60 because there are 60 minutes in one hour. Then divide the entire equation by how many feet are in one mile (5,280) giving us the answer 3.75 miles per hour. And the equation 120*2.75*60/5280
Answer: B) 
C) 
Step-by-step explanation:



Thus, Option B and C is giving the result 4b,
Therefore, they are the expressions that are equivalent to 4b.
Given that ABC is a right angle triangle with m∠C=90°, m∠B=75° and AB=12cm.
Area of triangle =
=
So we need to find BC,AC now.
To find them let us take sinB and cosB.
SinB =
BC = 12* cos B = 12* cos 75
So, area =
= 72*sin(75)*cos(75)
= 36*(2sin(75)cos(75))
= 36*sin(150) = 18
Hence area of triangle is 18
Hope this helps tbh sorry I was a little late btw (: