Answer:
20% x 5= 100%
35 x 5= 175
she has a total of 175 cupcakes
Answer:
.
Step-by-step explanation:
Let x represent side of kennel opposite to house and y represent other sides.
We have been given that a rectangular dog kennel is to be constructed alongside a house with 60 m of fencing.
Since fencing will cover 3 sides of kennel, so perimeter of kennel would be:


Let us solve for x.


The area of the kennel would be product of its sides that is:

Now, we will substitute
in area equation as:


Let us find the derivative as shown below:

Now, we will set derivative equal to 0 and solve for y.




Upon substituting
in area function, we will greatest possible area.





Therefore, the greatest possible area that can be enclosed by 60 m of fencing is 450 square meters.
m∠HKF = 87°
Solution:
Given data:
m(ar JF) = 135° and m(ar GH) = 42°
GJ is the diameter of the circle.
<em>Angle in a diameter is 180°.</em>
⇒ m(ar JF) + m(ar FG) = 180°
⇒ 135° + m(ar FG) = 180°
Subtract 135° from both sides of the equation.
⇒ m(ar FG) = 45°
⇒ m(ar FGH) = m(ar FG) + m(ar GH)
⇒ m(ar FGH)= 45° + 42°
⇒ m(ar FGH) = 87°
<em>The measure of the central angle is congruent to the measure of the intercepted arc.</em>
⇒ m∠HKF = m(ar FGH)
⇒ m∠HKF = 87°
Answer: 4 times
Step-by-step explanation:
3÷3/4=3/1×4/3=4
4×3/4=3
I believe the answer is C