Answer:
Area of a trapezoid = ½(a + b)h, where a and b are the lengths of the parallel sides and h is its height.
From your information 20 = ½(2z + 3 + 6z – 1)z = ½(8z + 2)z = z(4z + 1)
Solve 20 = 4z² + z which is 0 = 4z² + z – 20 using the quadratic formula
Step-by-step explanation:
<span>Given the SAS, we can use the CPCPT (congruent parts of congruent triangles are congruent) and get the ASA. </span>
Step-by-step explanation:
You will pay $18 for a item with original price of $20 when discounted 10%. In this example, if you buy an item at $20 with 10% discount, you will pay 20 - 2 = 18 dollars.
Answer:
A logarithm is just an exponent. To be specific, the logarithm of a number x to a base b is just the exponent you put onto b to make the result equal x. For instance, since 5² = 25, we know that 2 (the power) is the logarithm of 25 to base 5. Symbolically, log5(25) = 2.log(a/b) = log a -log b, a > 0, b > 0. log an = n (log a) (Logarithm of a power). logx y = logmy / logmx (Change of base rule).The natural numbers 1, 2, 3,......are respectively the logarithms of 10, 100, 1000, to the base 10. The logarithm of "0" and negative numbers are not defined.The laws apply to logarithms of any base but the same base must be used throughout a calculation. This law tells us how to add two logarithms together. Adding log A and log B results in the logarithm of the product of A and B, that is log AB.
Answer:
Volume of cone = 200.96 square feet
Step-by-step explanation:
We are given the following information in the question:
The tree is cone shaped and has a radius of 4 feet.
r = 4 feet
The height of the tree is three times its radius.
Volume of tree =
Putting all the values, we get,
Radius of cone whose height is is equal to three times its radius is given as:
![V = \displaystyle\frac{1}{3}\pi r^2 h\\\\V = \displaystyle\frac{1}{3}\pi r^2 (3r)\\\\3V = 3\pi r^3\\\\ r = \sqrt[3]{\frac{3V}{3\pi}}](https://tex.z-dn.net/?f=V%20%3D%20%20%5Cdisplaystyle%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2%20h%5C%5C%5C%5CV%20%3D%20%20%5Cdisplaystyle%5Cfrac%7B1%7D%7B3%7D%5Cpi%20r%5E2%20%283r%29%5C%5C%5C%5C3V%20%3D%203%5Cpi%20r%5E3%5C%5C%5C%5C%20r%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7B3V%7D%7B3%5Cpi%7D%7D)
