Answer:
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one. Please have a look at the attached photo.
<em>Lacey's mom makes her a birthday cake in the shape of an "L" . Lacey loves frosting, so her mom covers the entire outside of the cake in frosting, even the bottom of the cake.
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<em>How much space does Lacey's mom cover in frosting?
</em>
My answer:
As we know that the surface area of the the cake is made up of rectangles. The formula for find the area of a rectangle is A = lw
- The area of rectangle ABCD: 4*2 = 8
- The area of rectangle ADFE : 12*2 = 24
- The area of rectangle TJVS : 4*2 = 8
- The area of rectangle ESFV :9*2 = 18
- The area of rectangle HTJG: 5*2 = 10
- The area of rectangle CBHG: 2*8 = 16
The area of CDEVGJ = ABHTFS
= 4*12 + 4*5
= 68
So the total area is: 68 +68 +16+10+18+8+24+8 = 220
Hope it will find you well
The
capital budget will be supported with 30% debt and 70% equity. Since the
company's income will be $825,000 this is the maximum equity that can be put
towards the capital budget and therefor is matched in the ratio 70:30 by
borrowings. If $825000 is 70%, divide that (825,000/.70) you’ll get the total
maximum budget of $1,178,571 which is letter c. To get the 30%, just deduct the
$825,000 to $1,178,571, you’ll get $353,571. To make sure your answer is
correct, add up the 70% and 30% values and if they make the original total
value, then the answer is correct. $825,000 + $353,571 = $1,178,571
In addition, from the response shown, using a graphical calculator brings the following benefits:
1) You can write the system of linear equations as big as you want. This is: systems 3 * 3, 4 * 4, 5 * 5.
2) The response to systems of equations greater than 2 * 2 can be complicated when you graph the solution, therefore, the graphing calculator can be much more efficient in these cases.
3) You can write the linear equations in any way. Resolving by hand you should probably rewrite the system of equations to find the solution.
We are tasked to solved for the length of the ramp having an inclination of 15 degrees with the ground and 10 feet from the end of the ramp to the base of the building of the ground. Using trigonometric properties, we have a formula given an angle and the its opposite sides which is,
sin(Angle)=opposite/hypothenuse
hypothenuse would be the distance or the length of the ramp.
so we have,
sin(15)=10/hypothenuse
Cross-multiply, we have,
hypothenuse=10/sin(15)
using scientific calculator having a DEG mode,
hypothenuse=38.63703
Rounding of in nearest tenth we get,
hypothenuse=38.6 ft
Therefore, the ramp is 38.6 ft long
Given that t<span>he x-axis represented the number of small tanks and the y-axis represented the number of large tanks.
Given that </span>h<span>is small tanks would require 2 oz of conditioner and his large tanks would require 6 oz of conditioner and there are a total of 72 oz of water conditioners available.
The line representing the various combinations of </span>tanks he could put the water conditioner into is given by 2x + 6y = 72.
Since, t<span>he manager labeled only the intercepts.
The x-intercept is the value of x when y = 0 and is given by
2x + 6(0) = 72
x = 72 / 2 = 36
Thus, the x-intercept is (36, 0)
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<span>The y-intercept is the value of y when x = 0 and is given by
2(0) + 6y = 72
y = 72 / 6 = 12
Thus, the x-intercept is (0, 12)
Therefore, the points labeled by the manager are: (0, 12) and (36, 0)
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