Answer:
5 cats
Step-by-step explanation:
d/c = 5/1
d = 25 Substitute in the proportion
25/c = 5/1 Multiply both sides by c
25 = 5c/1
25 = 5c Divide each side by 5
c = 5
There are five cats.
Answer:
circumference is 81.68
area is 530.93
Step-by-step explanation:
C=2πr=2·π·13≈81.68141
A=πr2=π·132≈530.92916
Answer:
7 , 8 , 9
Step-by-step explanation:
Assume three consecutive number are,
x , (x+1) , (x+2)
Multiplied by 2 ,3 and 4 respectively
2x , 3(x + 1) , 4(x + 2)
Sum of all = 74
So,
2x + 3(x + 1) + 4(x + 2) = 74
2x + 3x + 3 + 4x + 8 = 74
9x + 11 = 74
9x = 63
x = 7
So,
x , (x+1) , (x+2)
7 , (7+1) , (7+2)
7 , 8 , 9
Answer:
Step-by-step explanation:
Angles 153 and QRP are straight angles, and thus Angle QRP is
180 - 153, or 27 degrees.
The interior angles of the triangle must sum up to 180 degrees:
27 + (3y + 5) + (2y - 7) = 180.
combining like terms, we get:
5y - 25 = 180, or 5y = 155, or y = 31
Then Angle Q is 3(31) + 5, or 93
Angle P is 2(31) - 7, or 55, and
Angle QRP is 27 degrees (found earlier).
Answer:
y = 2/3x + 2
Step-by-step explanation:
Slope intercept form is y=mx+b where m is the slope and b is the y intercept.
Given 2 points you can find the slope using (y-y1)/(x-x1)
m = (-2-4)/(-6-3) = -6/-9 = 2/3
To find b use one of the points and m and plug into the slope intercept form and then solve for b.
y=mx+b
4=2/3(3) + b
4=2 + b
b=2
Now we can write the final equation as : (plug m and b back in)
y = 2/3x + 2
