Answer:
0.80A + 0.92B = 63 .....1
A + B = 75 ......2
Step-by-step explanation:
Let A and B represent the total possible score in part A and B respectively;
Analysing each sentence of the question;
Sam scored 80% on Part A of a math test and 92% on part B of the math test. His total mark on the test was 63
80% of A + 92% of B = 63
0.80A + 0.92B = 63 ......1
The total possible marks for the test was 75;
A + B = 75 .....2
So, equation 1 and 2 provides a set of simultaneous equations that can be used to represent and solve the situation.
Solving the simultaneous equations, we will arrive at;
Part A = 50
Part B = 25
Answer:
the answer is 'C' bacause you have to multiplied between them
Answer:
x=-10
Step-by-step explanation:
reorder the terms: 8+2x=18+3x
solve: 8+2x=18+3x
-3x -3x
_________
8-1x=18
-8. -8
________
-1x= 10
__ __
-1 -1
________
<u>x= -10</u>
Logx (8x-3) - logx 4 = 2
logx [(8x-3)/4] = 2
x^2=(8x-3)/4
4x^2=4(8x-3)/4
4x^2=8x-3
4x^2-8x+3=8x-3-8x+3
4x^2-8x+3=0
4(4x^2-8x+3=0)
(4^2)(x^2)-8(4x)+12=0
(4x)^2-8(4x)+12=0
(4x-2)(4x-6)=0
2(4x/2-2/2)2(4x/2-6/2)=0
4(2x-1)(2x-3)=0
4(2x-1)(2x-3)/4=0/4
(2x-1)(2x-3)=0
Two options:
1) 2x-1=0
2x-1+1=0+1
2x=1
2x/2=1/2
x=1/2
2) 2x-3=0
2x-3+3=0+3
2x=3
2x/2=3/2
x=3/2
Answer: Two solutions: x=1/2 and x=3/2
The value of sine theta = negative eight-seventeenths ⇒ 2nd
Step-by-step explanation:
Let us revise the quadrant of an angle its terminal side passes through a given point
- If the given point is (x , y), then the angle lies in the 1st quadrant
- If the given point is (-x , y), then the angle lies in the 2nd quadrant
- If the given point is (-x , -y), then the angle lies in the 3rd quadrant
- If the given point is (x , -y), then the angle lies in the 4th quadrant
∵ The terminal side of angle Ф passes through P (15 , -8)
∵ x = 15 and y = -8
- P is (x , -y), then the angle Ф lies in the 4th quadrant
∵ The terminal side of angle Ф is the hypotenuse of a right
triangle whose horizontal leg is 15 units and vertical leg
is -8 units
- Use Pythagoras Theorem to find the length of the hypotenuse
∴ Hypotenuse = 
units
∵ sinФ = 
∵ The side opposite to Ф is -8
∵ The hypotenuse is 17
∴ sinФ = 
The value of sine theta = negative eight-seventeenths
Learn more:
You can learn more about the trigonometry function in brainly.com/question/4924817
#LearnwithBrainly
