Answer: For the cirlces since I already answered the triangles
1. Area:660.519855417
Circumference:91.1061869541
2. Area: 572.555261117
Circumference:84.8230016469
3. Area:283.528736986
Circumference:59.6902604182
4. Area:1017.87601976
Circumference:113.097335529
5. Area: 63.6172512352
Circumference: 28.2743338823
6. Area:380.132711084
Circumference:69.115038379
Step-by-step explanation:
The formula for the area of a circle is π*r^2, r being the radius or the half line in the circle, and the formula for the circumference is π*r*2, or π*d, or the diameter which is the line that goes all the way through like number 5. The radius is half the diameter.
Remember PEMDAS (Parenthesis, Exponents, Multiplication, Divison, Addition and Subtraction)
Also note that Multiplication and Division needs to be done left to right and the same goes for Addition and Subtraction.
So in your problem, the first operation we need to do is division.
68 - (18/3) x 6
68 - 6 x 6
Now we do multiplication
68 - 6 x 6
68 - 36
Finally we do subtraction because that's the only operation we have left to do
68 - 36 = 32
So your answer should be 32.
Answer:
; line D in the options.
Step-by-step explanation:
The set of equations has no solutions if the two lines are parallel. A quick way to create a parallel line is to solve for y, put it in slope-intercept form. Else, as long as the cofficient of x and y are in the same ratio (in this case 1:1), the two lines are parallel, you just have to be careful not to pick the same line again!
The condition
makes sure you are still getting lines (else you would get rid of both x and y); the condition
makes sure you're not picking line A again, just written in a different form.
Now that we have the options:
A and C have a different ratio for the coefficient of x and y (2:1 and 1:2) so are not good.
Choice B is just a more complicated way to write the same line, you can see by dividing both sides by 2 and get back x+y=2.
Line D is correct.
Since this is a system of equations, substitute the value of x into the other equation.
2(3y)+2y=24
6y+2y=24
8y=24
y=3
x=3(3)
x=9
To check my work, substitute my x and y values:
2(9)+2(3)=24
18+6=24
24=24
Your answer is (3,9)
Hope this helps! Have a wonderful day :)