16500 Rounded to the nearest ten thousand is 20,000
The expression is equivalent to 1.5 raised to the fifth power divided by 0.7 raised to the fourth power, all raised to the third power is; Option A; 1.5 raised to the fifteenth power divided by 0.7 raised to the twelfth power
<h3>How to solve exponents?</h3>
We want to find the expression that is equivalent to 1.5 raised to the fifth power divided by 0.7 raised to the fourth power, all raised to the third power.
The sentence above can be expressed as;
((1.5⁵)/(0.7⁴))³
This can be broken down into;
[1.5^(5 * 3)]/(0.7^(4 * 3))
1.5¹⁵/0.7¹²
Looking at the options, the only correct one is;
Option A; 1.5 raised to the fifteenth power divided by 0.7 raised to the twelfth power
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Answer:
D
Step-by-step explanation:
Product means to multiply 2 numbers and for this question its 9x4. The devided by 6 part is just divided from 6. so (9x4)/6
Hope this helped!
To find the length of the diagonal, we need to calculate the length of the base first and then use the value to calculate the diagonal since we are given the value of height of the triangle.
<h3>Pythagorean Theorem</h3>
This theorem is used to find the missing side of a right angle triangle given that we have the length of two sides.
To calculate the base of the triangle, let's use Pythagorean theorem here
![x^2 = y^2 + z^2\\x^2 = 2^2 + 3^2\\x^2 = 4 + 9 \\x^2 = 13\\x = \sqrt{13} \\x = 3.61](https://tex.z-dn.net/?f=x%5E2%20%3D%20y%5E2%20%2B%20z%5E2%5C%5Cx%5E2%20%3D%202%5E2%20%2B%203%5E2%5C%5Cx%5E2%20%3D%204%20%2B%209%20%5C%5Cx%5E2%20%3D%2013%5C%5Cx%20%3D%20%5Csqrt%7B13%7D%20%5C%5Cx%20%3D%203.61)
Having the length of the base, let's consider the height of the triangle which is 6 and substitute the values.
![d^2 = 6^2 + 3.61^2\\d^2 = 36 + 13.0321\\d^2 = 49.0321\\d = \sqrt{49.0321} \\d = 7.00](https://tex.z-dn.net/?f=d%5E2%20%3D%206%5E2%20%2B%203.61%5E2%5C%5Cd%5E2%20%3D%2036%20%2B%2013.0321%5C%5Cd%5E2%20%3D%2049.0321%5C%5Cd%20%3D%20%5Csqrt%7B49.0321%7D%20%5C%5Cd%20%3D%207.00)
From the calculations above, the values of the triangle are
- diagonal = 7
- base = 3.61
- height = 6
Learn more on pythagorean theorem here;
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yes the fraction of .70 is 7/10