Use trigonometry.
sinQ = 14/50 = 0.28
-> angle Q = sin^-1(0.28) = approx 16 degrees
-> cosQ = A/H -> cos16 = PQ/50
=> PQ = 50*cos16 = approx 48.06
So yea.
The value of a is 
Step-by-step explanation:
<u>1. Determine the other solution of x</u>
If one value is 5 + 
then the other value is 5 -
<u>2. Use reverse technique to find the equation</u>
(5 + ) (5 - ) = 0
25 - 
+ 
- 
= 0
- + 25 = 0
<u>3. The equation is</u> - + 25 = 0
<u>4. Find the value of a</u>
a is the number with the variable 
therefore it is - 
Keyword: quadratic equation, solution
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Account A
Total-$1800
Interest-$800
Account B-
Total-$2191.12
Interest-$1191.12
Account B by $391.12
X=number of corect
y=number of incorrect
5 points for each correct so 5x
-1 point for each incorrect so -y
5x-y=76
solve for x and y
I like putting it into slope intercep tofrm which is y=mx+b
add y to both sides
5x=76+y
subtract 76 from both sides
5x-75=y
y=5x-76
subsitute values for x and get values for y
remember, that julia cannot answer a negative number of incorrect questions so y must be greater than or equal to 0
so solve for minimum
0<u><</u>5x-76
add 76 to both sides
76<u><</u>5x
divide by 5
15.2<u><</u>x
you cannot answer a fraction of a correct quesiton so round up
16 is the minumum number of queswtions correctlyh answered
so
x<u>></u>16
subsitute 16 for x
y=5(16)-76
y=80-76
y=4
as we subsitute more numbers over 16, we get these points
so (x,y)
(16,4)
(17,9)
(18,14)
(19,19)
(20,24)
(21,29)
(22,34)
(23,39)
x=correct answer
y=wrong answers
Answer:
Option A. True
Step-by-step explanation:
we know that
<u>The Triangle Inequality Theorem</u>, states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side
we have
4,3 and 6
Applying the triangle inequality theorem
case 1) 4+3 > 6 -----> is true
case 2) 3+6 > 4 ----> is true
therefore
The given segments could form a triangle
Is true
