Answer:
there are fourteen 4-point questions and twenty six 2-point questions.
Step-by-step explanation:
Given : A 40-question test has 108 possible points.
There are m 4-point questions and n 2-point questions.
So , equation for total number of questions in the test :
m + n = 40 | 4n + 2n = 108
Multiplying (i) by 2 , we get
2m + 2n = 80
Subtract (iii) from (ii) , we get
2m = 28
⇒ m = 28/ 2 = 14
Using value of m in (i) , we get
14 + n = 40 ⇒ n = 26
from this we get there are fourteen 4-point questions and twenty six 2-point questions.
hope this helped!
D
using the double - angle identity
cos (2A) = cos² A - sin² A = 2cos² A - 1 = 1 - 2sin² A
the right side = 1 - 2sin² (112.5° ) with A = 22.5°
hence 2A = 2 × 22.5° = 45°
thus cos 45° = 1 - 2sin² ( 22.5°)
It says use the table you have to send a pic
Answer: A. 7x + 3
Concept:
Here, we need to know how to find the perimeter of a triangle
Perimeter (triangle) = s₁ + s₂ + s₃
s₁ = side one
s₂ = side two
s₃ = side three
Solve:
<u>Given information</u>
s₁ = 3x
s₂ = 3x + 3
s₃ = x
<u>Given expression</u>
P = s₁ + s₂ + s₃
<u>Substitute values into the expression</u>
P = (3x) + (3x + 3) + (x)
<u>Combine like terms</u>
P = (3x + 3x + x) + (3)
P = (6x + x) + 3
Hope this helps!! :)
Please let me know if you have any questions
could you just show me the picture more better then mayebi can help you
