3:
You're finding the area of two shapes, a square, and a quarter of a circle.
So
A=As+Ac/4
A=Lw+πr²/4
A=(6)(6)+(3.14)(6²)/4
A=64.26 m²
4:
Line LKJ is a straight line, so <LKJ =180°
<LKJ=<JKH+<HKL
180=78+4x+2
180=80+4x
100=4x
25=x
<HKL=4x+2
<HKL=4(25)+2
<HKL=102°
This given problem asks for the y-intercept of the linear equation.
The first step we need to is to transform the original equation into its slope-intercept form, y = mx + b (where m = slope, and b = y-intercept).
3x = 5y - 6
Subtract 3x on both sides:
3x - 5y - 3x = - 3x - 6
-5y = - 3x - 6
Divide both sides by -5:
-5y/-5 = (- 3x - 6) / -5
y = 3/5x + 6/5 (This is the slope-intercept form).
To solve for the y-intercept of the line, we must set x = 0 (because the y-intercept is the value of y when x = 0). The coordinate of the y-intercept is (0, b).
y = 3/5x + 6/5
y = 3/5(0) + 6/5
y = 0 + 6/5
y = 6/5
Therefore, the y-coordinate of the point where ‘L’ cuts the y-axis is 6/5.
The answer would be -43/60 or -0.716 in decimal.
It would be 2,5, and 6. The mode means the number that is repeating the most. Since 2, 5, and 6 all appear 3 times, that is the mode
Henry needs to sale 14 rings for his revenue to equal his expenses.
Step-by-step explanation:
Given,
Selling price of ring = $8
Expense on one ring = $1.50
Cost of supplies = $91
Let,
x represent the number of rings.
Expenses = 91+1.50x
Revenue = 8x
Equal expenses means;
Revenue = Expenses
Dividing both sides by 6.5
Henry needs to sale 14 rings for his revenue to equal his expenses.
Keywords: revenue, division
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