Answer:
$7
Step-by-step explanation:
just did 21 divided by three since it says she has saved one third of the $21.
Answer:
<h2>The Slant height of the pyramid is 7 yards.</h2>
Step-by-step explanation:
The total surface area is 125 square yards.
The base area is 37.5 square yards.
Hence, the area of the curved surface is 125 - 37.5 = 87.5 square yards.
According, to the formula, the area of the curved surface is
, where b is the base length and s = slant height.
Here, it is given that b = 5 yards.
Thus,
.
Answer:
Rounded to the nearest tenth, the length of the missing side is 5.4 in.
Step-by-step explanation:
According to the Pythagorean theorem,
, where c is the length of the hypotenuse (the longest side), a and b are the lengths of the other two sides. We can use this to solve for the length of the hypotenuse of the right triangle shown in your question (the missing side):
![2^{2}+5^{2}=c^{2}](https://tex.z-dn.net/?f=2%5E%7B2%7D%2B5%5E%7B2%7D%3Dc%5E%7B2%7D)
This simplifies to
. Now to solve for c (the length of the hypotenuse), we just take the square root of both sides of the equation and solve like so:
![\sqrt{29} =\sqrt{c^{2}}](https://tex.z-dn.net/?f=%5Csqrt%7B29%7D%20%3D%5Csqrt%7Bc%5E%7B2%7D%7D)
This simplifies to c≈5.4 in.
![\bf log_{{ a}}(xy)\implies log_{{ a}}(x)+log_{{ a}}(y) \\ \quad \\ % Logarithm of rationals \\ \quad \\ % Logarithm of exponentials log_{{ a}}\left( x^{{ b}} \right)\implies {{ b}}\cdot log_{{ a}}(x)\\\\ -----------------------------\\\\ log_b(xy^2z^{-6}\implies log_b(x)+log_b(y^2)+log_b(z^{-6}) \\\\\\log_b(x)+2log_b(y)-6log_b(z)](https://tex.z-dn.net/?f=%5Cbf%20log_%7B%7B%20%20a%7D%7D%28xy%29%5Cimplies%20log_%7B%7B%20%20a%7D%7D%28x%29%2Blog_%7B%7B%20%20a%7D%7D%28y%29%0A%5C%5C%20%5Cquad%20%5C%5C%0A%25%20Logarithm%20of%20rationals%0A%5C%5C%20%5Cquad%20%5C%5C%0A%25%20Logarithm%20of%20exponentials%0Alog_%7B%7B%20%20a%7D%7D%5Cleft%28%20x%5E%7B%7B%20%20b%7D%7D%20%5Cright%29%5Cimplies%20%7B%7B%20%20b%7D%7D%5Ccdot%20%20log_%7B%7B%20%20a%7D%7D%28x%29%5C%5C%5C%5C%0A-----------------------------%5C%5C%5C%5C%0Alog_b%28xy%5E2z%5E%7B-6%7D%5Cimplies%20log_b%28x%29%2Blog_b%28y%5E2%29%2Blog_b%28z%5E%7B-6%7D%29%0A%5C%5C%5C%5C%5C%5Clog_b%28x%29%2B2log_b%28y%29-6log_b%28z%29)
now, the one below that, which is equivalent to that? well, just look above it
Answer:
-50
Step-by-step explanation: