Answer:
r = 13
Step-by-step explanation:
these angles are vertical and are congruent
8r + 6 = 9r - 7
6 = r - 7
13 = r
Rectangle has 4 sides dived 96 by 4 and then from there you have to make length be bigger than width
Answer:
Substitute the given value into the function and evaluate.
Substitute the given value into the function and evaluate.
3 tan (
8
) < − 1 = 0.4216225 < − 1
0 = 0.4216225 < − 1
5 = 0.4216225 < − 1
521 = 0.4216225 < − 1
Step-by-step explanation:
Answer:
52 adults and 42 children attended the concert
Step-by-step explanation:
Given:
Total attendees=94 people
Adults tickets=$2.5
Children tickets=$1.75
Total receipts=$203.5
Let adults=a
Children=c
a+c=94 (1)
2.5a + 1.75c=203.5 (2)
From (1)
a+c=94
a=94-c
Substitute a=94-c into (2)
2.5a + 1.75c=203.5
2.5(94-c) + 1.75c=203.5
235-2.5c+1.75c=203.5
-0.75c=203.5-235
-0.75c=-31.5
Divide both sides by -0.75
-0.75c/-0.75=-31.5/-0.75
c=42
Substitute c=42 into (1)
a+c=94
a+42=94
a=94-42
=52
a=52
Therefore,
52 adults and 42 children attended the concert
![\sqrt[4]{\frac{6}{5}} = \sqrt[4]{b^4}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%5Cfrac%7B6%7D%7B5%7D%7D%20%3D%20%5Csqrt%5B4%5D%7Bb%5E4%7D)
![\sqrt[4]{\frac{6}{5}} = b](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B%5Cfrac%7B6%7D%7B5%7D%7D%20%3D%20b)
to predict how many bacteria will be present after 10 hours.![b = \sqrt[4]{\frac{6}{5}}](https://tex.z-dn.net/?f=b%20%3D%20%5Csqrt%5B4%5D%7B%5Cfrac%7B6%7D%7B5%7D%7D)
![A = 3000\sqrt[4]{\frac{6}{5}}^{10} = 4732.3228 = 4732](https://tex.z-dn.net/?f=A%20%3D%203000%5Csqrt%5B4%5D%7B%5Cfrac%7B6%7D%7B5%7D%7D%5E%7B10%7D%20%3D%204732.3228%20%3D%204732%20)