Answer:
Step-by-step explanation:
Total marbles in bag= 55
Given that
The number of green marbles is 7 more than 5 times the number of blue marbles.
Let green marble be x
And blue marble be y
Therefore,
Green=seven more than 5 times blue
Green=7+5timesblue
x=7+5y. Equation 1
Also the sum of the marbles is 55
x+y=55. Equation 2
Substitute equation 1 into 2
7+5y+y=55
7+6y=55
6y=55-7
6y=48
y=48/6
y=8
From equation 2
x+y=55
Then, x=55-y
x=55-8
x=47
Then, green marbles is 47.
Also, Blue marbles is 8
Just plug in the 30° into that equation.
<span>A(30°) = 16sin(30°)(cos(30°) + 1) </span>
<span> = 16(1/2)(1 + √3/2) </span>
<span> = Approx 14.9 in² </span>
<span>So A is the answer. </span>
You need to give us C and D
Answer: She spend $1.20 for lunch.
Step-by-step explanation:
Let the total amount be 'x'.
Half of her money spend for lunch be 
Half of her money left for a movie be
Amount she has now = $1.20
So, According to question, it becomes ,
Hence, Amount she spend for lunch is 
Therefore, she spend $1.20 for lunch.
Answer:
Developed Length
Step-by-step explanation:
A developed length is the length along the centre line of a circular shape.
From the question, the degree of bend is 90°
Also, from the question; the length of an arc of 1 quadrant.
1 quadrant = 90°
And the degree of bend = 90° (from the question)
So, it's safe to say 1 quadrant = the degree of bend = 90°
A small change in 90° will move change the quadrant to another quadrant.
So, at exactly 90° (or other multiples of 90° which are 180°, 270° and 360°), it is at its developed length.
