The figure is a scalene triangle, and the exact length of side a is √13
<h3>How to determine the exact length of side a?</h3>
To calculate the length of a, we make use of the following law of cosine
a² = b² + c² - 2bc * cos(A)
Using the values in the figure, we have:
a² = 3√2² + 5² - 2 * 3√2 * 5 * cos(45)
Evaluate the expression
a² = 18 + 25 - 30
Evaluate the sum and the difference
a² = 13
Take the square root of both sides
a = √13
Hence, the exact length of side a is √13
Read more about law of cosines at:
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Answer:
The system has infinitely many solutions
Step-by-step explanation:
There are no variables left. And the final equation is correct.
It means the system is going to be correct for any value of variables. So there are infinitely many solutions
The unit rate that compares the length of the couch in the living room to the length of the couch in the dollhouse is 1.33 ft/cm
The unit rate that compares the length of the couch in the living room to the length of the couch in the dollhouse is gotten by:
- Ratio of the length of the couch in the living room to the length of the couch in the dollhouse
Hence:
Unit rate = 8 feet / 6 cm
Unit rate = 1.33 ft/cm
The unit rate that compares the length of the couch in the living room to the length of the couch in the dollhouse is 1.33 ft/cm
Find out more on unit rate at: brainly.com/question/4895463
Well... given the cards are the same price and if we are ignoring tax...
15=2c+8
7=2c
3.5=c
He can spend $3.50 fo each