Answer:
3 and 19
Step-by-step explanation:
The smaller number is x. The bigger number is 4x + 7. Big number + small number= 22. x + 4x + 7 = 22. 5x= 15. x= 3.
Small number= x= 3
Big number= 4x+7= 12 + 7 = 19
Using the weighed mean, it is found that her grade average is of 84.4.
<h3>Weighed mean:</h3>
- To find the weighed average, we <u>multiply each grade by it's weight.</u>
In this problem, the grades and the weights are as follows:
- Grade of 84 with a weight of 0.6.
- Grade of 91 with a weight of 0.25.
- Grade of 75 with a weight of 0.15.
Hence:
Her grade average is of 84.4.
To learn more about weighed mean, you can take a look at brainly.com/question/24398353
Answer:
11
Step-by-step explanation:
Given triangle ABC is right angled at C.
Therefore
A + B + 90 = 180
A + B = 180 - 90 = 90
B = 90 -A
Given
sin A = 2x + 5 ----------------------->A
cos B = 4x - 17 ----------------------->B
Also B = 90 - A
Substituting value of B in terms of A in equation B
we have
Cos 90 - A = 4x - 17 ( we know that cos(90-A) = sin A)
=>Sin A = 4x - 17 ----------------------->C
also it is given that sin A = 2x + 5
equating equation A and C we have
2x + 5 = 4x - 17
=> 4x - 2x = 5 + 17
=> 2x = 22
=> x = 22/2 = 11
X is 11