Answer:
Volume = 42 units^2
x = 5 units
Total Surface Area = 96 units
Step-by-step explanation:
Volume
V = bh, where b = 1/2 * 3 * 4 and h = 7,
= 6 * 7 = 42 units^2
x
You can solve for this variable by using the pythagorean theorem;
a^2 + b^2 = c^2, where a = 3 and b = 4,
9 + 16 = x^2
= 25 = x^2
= x = 5 units
Total Surface Area
You can solve this by multiplying the perimeter of the base (3 + 4 + 5) by the height and adding that to two times the area of the base:
7 * (3 + 4 + 5) + 2(1/2*3*4)
= 7*12 + 12
= 96 units
Answer:
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Step-by-step explanation:
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Answer: Choice D
The reason why is because any time you have a dilation with a scale factor other than 1, then the resulting figure is either bigger or smaller compared to the original. If two figures of the same shape are different sizes, then they cannot be congruent. The other transformations of rotation, reflection and translation are what we call rigid transformations. They preserve the size leading to keeping the figures congruent.
Answer:
12
Step-by-step explanation:
we can setup an equation and solve for x: 500-25x = 200, where x stands for the number of weeks she withdraws money.
subtract 500 from both sides to get -25x = -300.
multiply each side by -1 to get 25x = 300
divide each side by 25 to get that x = 12
Answer: $34.08
<u>Step-by-step explanation:</u>
![\text{Simple Interest}:A=P(1+rt)\\\\A=8000+8000[1+0.05(2)]\\\\A=\large\boxed{8800.00}](https://tex.z-dn.net/?f=%5Ctext%7BSimple%20Interest%7D%3AA%3DP%281%2Brt%29%5C%5C%5C%5CA%3D8000%2B8000%5B1%2B0.05%282%29%5D%5C%5C%5C%5CA%3D%5Clarge%5Cboxed%7B8800.00%7D)
Difference = Compound Interest - Simple Interest
= 8834.08 - 8800.00
= 34.08
