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Rudiy27
3 years ago
9

t="\sqrt{91 - 40\sqrt{3} }" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
lianna [129]3 years ago
3 0

Answer:

5\sqrt{3} - 4

Step-by-step explanation:

\sqrt{(4-5\sqrt{3}  )^{2} }

5\sqrt{3}  - 4

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Mrs. Chan buys a new car for $21,000. She pays a sales tax of $0.06 for every $1. She pays a property tax of $16.80 on every $1,
lianna [129]

Answer:

$1612.80

Step-by-step explanation:

<u>Sales Tax</u> would be 0.06 * 21,000 = $1260

<u>Property Tax:</u>

16.80 for every 1000, so how many "1000"s are there in 21,000? Simple, 21 of them.

So the property tax would be 16.80 * 21 = $352.80

Hence, total taxes (for the year) = 1260 + 352.80 = $1612.80

4 0
2 years ago
Find the perimeter of the figure
77julia77 [94]

Answer:

51

Step-by-step explanation:

Hey There!

To find the perimeter of any figure all you have to do is add up all of the side lengths

5+5+7+11+7+16=53

so the perimeter is equal to 51

Note: the 18 is from the bottom length of the figure

you would have to add the 5 and 11

the extra seven is from the very right side length

8 0
2 years ago
Which expression is equivalent to...? Screenshots attached, please help.
BaLLatris [955]

For this case we must simplify the following expression:

\sqrt [3] {64 * a ^ 6 * b ^ 7 * c ^ 9}

We rewrite:

64 = 4 ^ 3\\a ^ 6 = (a ^ 2) ^ 3\\b ^ 6 * b = ((b ^ 2) ^ 3 * b)\\c ^ 9 = (c ^ 3) ^ 3

So:

\sqrt [3] {4 ^ 3 * (a ^ 2) ^ 3 * (b ^ 2) ^ 3 * b * (c ^ 3) ^ 3} =\\\sqrt [3] {4 * a ^ 2 * b ^ 2 * c ^ 3) ^ 3 * b} =

By definition of properties of powers and roots we have:

\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}

So:

4a ^ 2b ^ 2 c ^ 3 \sqrt [3] {b}

Answer:

Option B

3 0
3 years ago
What is the minimum number of angles required to determine the Cartesian components of a 3D vector and why?
Reika [66]

Answer: 3

Step-by-step explanation:

The 3D vector consists of 3 axes, let's say x, y and z.

Now, a vector P lies in all of them.

So, the angle it makes with x axis is α

The angle it makes with y axis is β

The angle it makes with z axis is γ

So, to determine the Cartesian components or to resolve the vector into it's Cartesian components we need 3 angles with each axis.

4 0
2 years ago
The original price of water skis was $200. What is the percent of discount?
nikitadnepr [17]
You need to tell how many percent you will discount and then find the new price
3 0
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