Answer:
18
Step-by-step explanation:
First find out how many oranges he used to make the orange juice.
3/5 = 0.6
(45)(0.6)
27
He used 27 oranges to make the juice.
Now we can figure out how many oranges he has left.
45 - 27
18
Matthew has 18 oranges left.
Hope this helps!
Answer:
So we know the formula to calculate the area of the circular sector:
S=(r^2*π*a)/306°=
(5^2*3.14*40°)/360°= (1000*3.14) /360=8.72cm^2 so the right alternative should be the first one ,A.
Step-by-step explanation:
r - radius of the circle
a - corner of the circular sector
S - surface
Answer:
#1 is 30 degrees
#2 is obtuse
#3 is "No rhombuses are rectangles"
#4 is D
#5 is A
Step-by-step explanation:
For #1, we have an angle vertical to 120 degrees which includes a right angle, so we make an equation:
90+x=120
x=30
So angle x is 30 degrees aka. Option A
For #2, obtuse angles have the sum of the square of the side lengths that are less than the square of the hypotenuse. In this case, 6^2+4^2<9^2 or 50<81
For #3, rhombuses have two pairs of congruent sides but no right angles while rectangles have two pairs of congruent sides but they also have right angles.
For #4, they are similar because one of the triangles is dialated by a scale factor of 1.5.
For #5, just think of turning the triangle on its other side, aka. option A
Answer:
nonliner
Step-by-step explanation:
it curves
Answer:
Option C is correct.
Step-by-step explanation:
An exponential function is of the form: 
....[1] where a is the initial value, x is any real number and b is the growth factor
Also, the b value (growth factor) has been replaced either by (1 + r) or by (1 - r).
Then, the growth "rate" (r) is determined as b = 1 + r.
and the decay "rate" (r) is determined as b = 1 - r
- If b> 1, then it is exponential growth function.
- if 0<b< 1. then it is exponential decay function.
Also, b = 1+ 4
Given the equation: 
On comparing given equation with [1] we get;
a = 50 and b = 1.15
Since, b = 1.15 > 1
Therefore, the given equation represents the exponential growth.
(A)
Yes, this equation represents the exponential growth.
(B)
Initial value (a) = 50
(C)
Here growth factor, b = 1.15
and
1+ r = 1.15.
⇒
