Answer:the probability is 4/20 or 20%
Step-by-step explanation:hope this helps
(x+4), (y-1) because the figure is translated 4 units to the right and 1 down.
Step-by-step explanation:
Based on the given conditions,
Formulate:(100-80)÷80
Calculate the sum or difference:20/80
Cross out the common factor:1/4
Multiply a number to both the numerator and the denominator:1/4×25/25
Write as a single fraction :25/4×25
Calculate the product or quotient :25/100
Rewrite a fraction with denominator equals 100 to a percentage:25%
Answer : 25%
Answer:
The height of the taller building is: 51.345m
Step-by-step explanation:
Given
The question has missing details (See attachment for the illustration of the complete question)
Required
The height of the tall building
The height, a, is calculated as:
![a = b +c](https://tex.z-dn.net/?f=a%20%3D%20b%20%2Bc)
To solve for b, we consider the upper half of the attached image
The upper half is a right triangle.
Using tan formula, we have:
![tan(31) = \frac{b}{30}](https://tex.z-dn.net/?f=tan%2831%29%20%3D%20%5Cfrac%7Bb%7D%7B30%7D)
Solve for b
![b = 30 * tan(31)](https://tex.z-dn.net/?f=b%20%3D%2030%20%2A%20tan%2831%29)
To solve for c, we consider the lower half of the attached image
Using tan formula, we have:
![tan(48) = \frac{c}{30}](https://tex.z-dn.net/?f=tan%2848%29%20%3D%20%5Cfrac%7Bc%7D%7B30%7D)
Solve for c
![c = 30 * tan(48)](https://tex.z-dn.net/?f=c%20%3D%2030%20%2A%20tan%2848%29)
Recall that: ![a = b +c](https://tex.z-dn.net/?f=a%20%3D%20b%20%2Bc)
So:
![a = 30 * tan(31) + 30 * tan(48)](https://tex.z-dn.net/?f=a%20%3D%20%2030%20%2A%20tan%2831%29%20%20%2B%20%2030%20%2A%20tan%2848%29)
![a = 30 * 0.6009 + 30 * 1.1106](https://tex.z-dn.net/?f=a%20%3D%20%2030%20%2A%200.6009%20%20%2B%20%2030%20%2A%201.1106)
![a = 18.027 + 33.318](https://tex.z-dn.net/?f=a%20%3D%20%2018.027%20%20%2B%20%2033.318)
Answer:
0.98 miles
Step-by-step explanation: