Answer:
130
Step-by-step explanation:
Percentage of 77% of what = 100.1?
77% × ? = 100.1
? =
100.1 ÷ 77% =
100.1 ÷ (77 ÷ 100) =
(100 × 100.1) ÷ 77 =
10,010 ÷ 77 =
130
<span>Proportions happen because two events or scenarios are related or associated with one another </span>
Answer:
B. 2.2π m² : 3.2π m²
Step-by-step explanation:
Given:
Slant height (l) = 2.2 m
Diameter (d) = 2 m
Radius (r) = ½(2) = 1 m
Required:
Lateral area and surface area
Solution:
✔️Formula for lateral area of a cone = πrl
Plug in the values
Lateral area of the cone = π*1*2.2
Lateral area = 2.2π m²
✔️ Formula for surface area of a cone = πr(l + r)
Plug in the values
Surface area of the cone = π*1(2.2 + 1)
Surface area = π(3.2)
Surface area = 3.2π m²
The answer would therefore be:
2.2π m² : 3.2π m²
Alright, let's do all of these (though this is a bit long).
1.
The constant is 1.8. All other values are coefficients to variables, which as the name implies will change.
2.
1 hour is 60 minutes, 1 minute is 60 seconds.
So, 4.2 *60 *60 = 15120 seconds.
3.
<span>−5x−4(x−6)=−3-5x-4(x-6)=-3
Let's move all x to one side, and all other numbers to another.
-5x-4(x-6)=-3-5x-4(x-6)=-3
x can be any value you want, if you actually solve this you'll only end up with -3 = -3, which is correct, of course.
Let me show you:
</span><span>−5x−4(x−6)=−3-5x-4(x-6)=-3
+5x +4(x-6) +5x +4(x-6)
-3 = -3
The value of x is irrelevant, then. X can be any real number.
4.
I'm going to assume it was an error in printing with this? If not please correct me.
m=a+2b(or b2)
subtract 2b from each
a=m-2b
(This question seems kind of odd. We should probably address this in the comments.)
5.
</span><span>5(x−2)<−3x+6
Move all x to one side, numbers to other.
5x-10<-3x+6
+3x +3x
+10 +10
8x<16
/8
<span>x < 2
</span>6.
y-3=3(x-5)
alright, to find zeros set one variable to zero and solve
x first
-3=3x-15
+15 +15
3x=12
/3
x=4
x-int is (4,0)
now y
</span>y-3=3(0-5)
y-3=-15
+3 +3
y=-12
so y-int is (0,-12)
i've got to sleep now so i'll do the rest tomorrow. Sorry for the incomplete answer.
Answer:
Y=6x-4
Step-by-step explanation:
Y=mx+b
in this cace we have m- the slope
Y=6x+b
now we can plug in the coordinates to solve for b- the y intercept
(1,2) 1 being the x value, and 2 being the y value
2= 1·6+b
2=6+b
-4=b
now we take our previous equation, and add to it
Y=6x-4
