Answer:
1.33 liters
Step-by-step explanation:
Volume of any shape is given by cross sectional area multiplied by height. Therefore, V=Ah
Where A is area and h is height
Since their cross sections are the same, then volume depends on height.
If 12cm equals 2 liters
8cm equals x
X=(2*8)/12=1.3333333333333 liters
Approximayely, the smaller pail has capacity of 1.33 liters
The points are; (7/2, -1/2).
<h3>What is the given point?</h3>
Now the tangent line is given as;20x 4y = 1. When we rewrite it in the slope intercept form, we have the equation as; y = 1 - 20x/4 or y = 1/4 - 5x.
Then to obtain the slope of the curve we have; y = 19 - 2x
dy/dx = 2
Using the relation;
m1m2 = -1
m2 = -1/2
Hence;
y = 1/4 - 5(-1/2)
y = 1/4 + 5/2
y = 7/2
Thus the points are; (7/2, -1/2)
Learn more about normal curve:brainly.com/question/10664419
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Answer:
y = 2x - 3
Step-by-step explanation:
Step 1: Find the slope. You find the slope by using the formula y2-y1/x2-x1. (2, 1) and (4, 5) are our points. Let's find our values.
y2= 5
y1= 1
x2 = 4
x1 = 2
Plug in the numbers into the equation. 5 - 1 is 4. 4 - 2 is 2. 4/2 is 2. There. Our slope is 2.
Step 2: Find the b value. Keep in mind that an equation in point-slope form is y = mx + b, where m = the slope, and b = the y-intercept. For this part, you will plug in one of the points as x and y to find the b value. let's use point (4, 5)
The equation then becomes 5 = 2(4) + b. As we know, 2 * 4 is 8. Subtract 8 on both sides of the equation to cancel out the right side and isolate the b variable. 5 - 8 is -3. Even if you use the other point for the equation (1 = 2(2) +b), you should get the same answer of -3.
Answer:
$2400
$12,400
Step-by-step explanation:
Simple interest equation:
PV(1+it)
we have
10000(1+.06*4)
10000(1.24)
12400
Subtract the PV to get the interest earned
12400-10000= 2400
We just found that the total would be 12,400 and so part B is already solved
Answer:
Area = 55 cm2
Step-by-step explanation:
It the base of the parallelogram was 9 centimeters and increased by 2, the new base has 9 + 2 = 11 centimeters.
It the height of the parallelogram was 4 centimeters and increased by 1, the new base has 4 + 1 = 5 centimeters.
Now, we can calculate the area of the parallelogram using the formula:
A = b * h
Where A is the area, b is the base and h is the height. So:
A = 11 * 5 = 55 cm2
