Mauricio should order 5 pizzas, he will have 1/2 of a pizza left.
Your domain is B, all real numbers. That's an exponential growth function.The 5 just makes it a steeper graph, closer to the y axis, that's all.
First you need to find the mean & median:
mean:
93 + 91 + 98 + 100 + 95 + 92 + 96 = 665
665 / 7 = 95
median:
<u>91</u>, <em>92</em>, <u>93</u>, 95, <u>96</u>, <em>98</em>, <u>100</u>
95
Because the mean and median are the same, her next test score should be 95. The average of the current average and 95 (her next test score) is 95, so that will remain the same. If you add 95 to the median list,the median will still be 95. The same goes for the mean.Her next test score should be 95.
Answer:
3:1
Step-by-step explanation:
240 - 180 = 60
60:180
1:3
3:1
Given:
The figure of triangle ABC.
The area of the triangle ABC is D.
![m\angle B=\sin ^{-1}(\dfrac{m}{n})](https://tex.z-dn.net/?f=m%5Cangle%20B%3D%5Csin%20%5E%7B-1%7D%28%5Cdfrac%7Bm%7D%7Bn%7D%29)
To find:
The value of m and n in the given expression.
Solution:
Let h be the height of the triangle ABC.
Area of a triangle is:
![Area=\dfrac{1}{2}\times base\times h](https://tex.z-dn.net/?f=Area%3D%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%20base%5Ctimes%20h)
Where, b is the base and h is the height of the triangle.
![Area=\dfrac{1}{2}\times a\times h](https://tex.z-dn.net/?f=Area%3D%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%20a%5Ctimes%20h)
The area of the triangle ABC is D.
![D=\dfrac{1}{2}\times a\times h](https://tex.z-dn.net/?f=D%3D%5Cdfrac%7B1%7D%7B2%7D%5Ctimes%20a%5Ctimes%20h)
![2D=ah](https://tex.z-dn.net/?f=2D%3Dah)
...(i)
In a right angle triangle,
![\sin \theta =\dfrac{Perpendicular}{Hypotenuse}](https://tex.z-dn.net/?f=%5Csin%20%5Ctheta%20%3D%5Cdfrac%7BPerpendicular%7D%7BHypotenuse%7D)
![\sin B =\dfrac{h}{c}](https://tex.z-dn.net/?f=%5Csin%20B%20%3D%5Cdfrac%7Bh%7D%7Bc%7D)
[Using (i)]
...(ii)
We have,
...(iii)
On comparing (ii) and (iii), we get
![m=2D](https://tex.z-dn.net/?f=m%3D2D)
![n=ac](https://tex.z-dn.net/?f=n%3Dac)
Therefore, the required values are
.