Answer: A
Step-by-step explanation:
Looking at the conditions, we can eliminate D. An isosceles triangle has 2 equal sides. 2 cm, 3 cm, 4 cm don't have 2 equal lengths.
We can next eliminate C. C is a right scalene triangle. Even if this is a scalene triangle, the key is the work "right". Any right triangle, regardless of it's angles, always fit the Pythagorean Theorem. C does not fit the Pythagorean Theorem.
2²+3²=4²
4+9=16
13≠16
We are left with the options A and B. A and B can both be correct answers, but it is the condition given in the problem that makes A the right answer. A states acute scalene triangle. That means there is at least 1 acute angle. Technically, B is also correct, but because the problem explicitly states 29°, that makes A the correct answer.
Eighty nine crore, six lakh, seventy eight thousand and three hundred forty.
Jack left 16.66% of gratuity for the waiter.
Step-by-step explanation:
Given:
Restaurant bill amount = 52.00
Total bill jack paid = 62.40
To find:
percent of gratuity Jack left for the waiter = ?
Solution:
Lets first find the amount jack gave has gratuity to the waiter
The amount given for gratuity = 62.40 - 52.00
The amount given for gratuity = 10.40
Now the percentage is
=![\frac{10.40}{62.40} \times 100](https://tex.z-dn.net/?f=%5Cfrac%7B10.40%7D%7B62.40%7D%20%5Ctimes%20100)
= ![0.166 \times 100](https://tex.z-dn.net/?f=0.166%20%5Ctimes%20100)
= 16.66 %
*Hint: The formula for finding the surface area of a rectangular prism is SA = 2 (wh + lw + lh).
Now, just plug in and solve.
SA = 2 [(10)(8) + (12)(10) + (12)(8)]
SA = 2 (80 + 120 + 96)
SA = 2 (296)
SA = 592.
The surface area of Rita's room is 592 feet squared.
The value of
can be calculated using the logarithm rule.
The value of
is 3.
Given:
The given expression is,
![\log_5125](https://tex.z-dn.net/?f=%5Clog_5125)
<h3>What is a logarithm?</h3>
The logarithm is the inverse function of exponentiation. In logarithm base must be raised to yield a given number for an exponent.
Calculate the value of given logarithm.
![\log_5125=\log_5(5)^3\\ \log_5125=3\log_55](https://tex.z-dn.net/?f=%5Clog_5125%3D%5Clog_5%285%29%5E3%5C%5C%0A%5Clog_5125%3D3%5Clog_55)
From logarithm rule ![\log m^n=n \log m](https://tex.z-dn.net/?f=%5Clog%20m%5En%3Dn%20%5Clog%20m)
![\log_5125=3\times 1\\ \log_5125=3](https://tex.z-dn.net/?f=%5Clog_5125%3D3%5Ctimes%201%5C%5C%0A%5Clog_5125%3D3)
Thus, the value of
is ![3](https://tex.z-dn.net/?f=3)
Learn more about the logarithm rule here:
brainly.com/question/7302008