Answer:
6/9
Step-by-step explanation:
The answer is D. 42
A triangle equals 180 in total so what you would do it subtract 122 from 180 because 180 is also the angle of a straight line. You would get 58 then you add 58 and 80 to get 138. Subtract 138 from 180 and you get your answer of 42
Answer:
A = 26 ft²
Step-by-step explanation:
To find the area of a circle, use the formula A = πr²
We know π = 3.14 and C = 18.
Use the circumference to find "r". C = 2πr
C = 2πr
18 = 2(3.14)r
18 = 6.28r
r = 18/6.28 Exact answer
r ≈ 2.866 Rounded to three decimal places
You can use either of the two bolded "r" values. I will use the rounded answer in the formula for area.
Substitute π = 3.14 and r = 2.866.
A = πr²
A = (3.14)(2.866)² Solve exponents first
A = 3.14(8.213956) Multiply
A = 25.7918218... Unrounded answer
A ≈ 26 Rounded to nearest square foot
Add the units back in.
<h3>A = 26 ft²</h3>
Writing the word problem as an equation you get:
x - 18 ≥ -12
Now to solve for x:
Add 18 to both sides of the inequality:
x ≥ -12 + 18
Simplify:
x ≥ 6
Answer:
3.6 hours
Step-by-step explanation:
To solve, create a Rate, Time, Work chart:
Work is rate times time. For Kevin, his work is going to equal x over 6 job. For Anna, her expression for work will equal x over 9 job.
The work is 1 job of calling all clients, so their combined work is equal to 1.
x over 6 plus x over 9 equals 1
In the rational equation, x is the amount of time it takes Kevin and Anna to call the clients together. With rational equations, the terms can be added together once they have common denominators.
x over 6 plus x over 9 equals 1
fraction numerator begin display style x left parenthesis 9 right parenthesis end style over denominator begin display style 6 left parenthesis 9 right parenthesis end style end fraction plus fraction numerator begin display style x left parenthesis 6 right parenthesis end style over denominator begin display style 9 left parenthesis 6 right parenthesis end style end fraction equals fraction numerator begin display style 1 left parenthesis 6 right parenthesis left parenthesis 9 right parenthesis end style over denominator left parenthesis 6 right parenthesis left parenthesis 9 right parenthesis end fraction
fraction numerator 9 x over denominator 54 end fraction plus fraction numerator 6 x over denominator 54 end fraction equals 54 over 54
9 x plus 6 x equals 54
15 x equals 54
x equals 3.6
If Kevin and Anna work together, they can call all the clients in 3.6 hours.
