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.
Answer:
Step-by-step explanation:
The diagram of triangle AMK is shown on the attached photo. To determine AM, we would apply trigonometric ratio since triangle AMP is a right angle triangle.
Sin# = opposite/hypotenuse
Sin 72 = 10/AM
AMSin72 = 10
AM = 10/Sin72 = 10/0.9511
AM = 10.51
To determine MK,
Cos# = adjacent/hypotenuse
Cos 50 = 10/MK
MKCos50 = 10
MK = 10/Cos50 = 10/0.6428
MK = 15.6
AK = AP + KP
Tan# = opposite/adjacent
Tan 72 = 10/AP
AP tan 72 = 10
AP =10/tan72 = 10/ 3.0777 = 3.25
Tan 50 = KP/10
KP = 10tan50
KP= 10× 1.1918 = 11.918
Therefore,
AK = 3.25 + 11.918 = 15.168
In this question , it is given that a weather balloon is launched from a height of 475 feet above sea level. the balloon rises at a constant rate of 85 feet per minute.
Here we use the slope intercept form, which is
Where, y is the height h, x is the time, t. And m represents slope, which is 85.
b represents the initial height , which is 475 feet.
On substituting these values, we will get
And at t = 16 minutes, we will get