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Answer:
r ≈ 4.38 cm.
Step-by-step explanation:
Find the radius by working backwards using the equation A = πr²:
Given:
A = 60.24 cm²
π = 3.14
Plug these into the equation:
60.24 = 3.14r²
Divide both sides by 3.14:
19.185 = r²
Take the square root of both sides:
r ≈ 4.38 cm.
Answer:
(- 5, 0), (3, 4)
Step-by-step explanation:
Given the 2 equations
2y - x = 5 → (1)
x² + y² - 25 = 0 → (2)
Rearrange (1) expressing x in terms of y
x = 2y - 5 → (3)
Substitute x = 2y - 5 into (2)
(2y - 5)² + y² - 25 = 0 ← expand parenthesis and simplify
4y² - 20y + 25 + y² - 25 = 0
5y² - 20y = 0 ← factor out 5y from each term
5y(y - 4) = 0
Equate each factor to zero and solve for y
5y = 0 ⇒ y = 0
y - 4 = 0 ⇒ y = 4
Substitute these values into (3) for corresponding values of x
y = 0 : x = 0 - 5 = - 5 ⇒ (- 5, 0)
y = 4 : x = 8 - 5 = 3 ⇒ (3, 4)
What best describes the range of possible values for the third side of the triangle are
- If the 3rd side is less than 6, it could never reach between the ends of the 10 and the 16.
- If the 3rd side is more than 26, then the 10 and the 26 could never reach its ends.
This is further explained below.
<h3>What is the range?</h3>
Generally, After removing the sample maximum and lowest, we get the range of the data set. It shares the same measurement systems as the data.
In conclusion, Choose the options that best characterize the interval across which the third side may take on a value;
When the 10 and 16 are placed end to end, the third side can never be shorter than 6.
If the sum of the 10 and the 26 is more than the third side's value, then the 10 and the 26 will never sum to the side's value.
Read more about the range
brainly.com/question/28135761
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Answer:
x=-1/2
Step-by-step explanation:
using almighty formula
x= -b+or-√b²-4ac/2a
x=-1+ or -√-1+4(1)(1/4) divided by 2(1)
x=-1+ or -√-1+1 divided 2
x=-1+0 divided by 2
x=-1/2
I’ll see what I can do just give me a few minutes