Answer:
The answer is 108 cm²
Step-by-step explanation:
First, you have to find the height of the parallrelogram using trogonometric formula, sinθ = oppo./hypo. :
oppo. = height
hypo. = 9 cm
θ = 59°
sin 59° = height/9
height = 9 sin 59°
= 7.715 cm (4s.f)
Given that the formula of area of parallelogram is, A = base×height. Then, you can substitute the value into the formula :
base = 14 cm
height = 7.715 cm
A = 14 × 7.715
= 108 cm² (3s.f)
Answer: C(t)=0.2x + 8
Step-by-step explanation:
If we know that we have a charge per minute it would look like mx with m being the charge for every x (minutes being used). We also know that there is an initial charge that has to be added on, but it won't change after the charge is set so we can call this "i".
Your equation from what we already know is going to be mx + i =Total charge.
Now that we have an equation, we an plug in what we know to solve for our initial charge. We plug in 0.2 for 5 since that is the cost for minute along with 5 for x since that is the amount of minutes. We do not know the initial charge so leave that as i, and plug 9 in for Total charge.
Your new equation should look like 0.2(5) + i=9 where we can multiply .2 by 5 and get 1 and then subtract 1 from both sides. This leaves you with 8=Total charge.
Since the problem is asking for a function representing the total cost we know that it is now C(t) 0.2x +8
Answer: 
Step-by-step explanation:
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Since the figure is not attached, below you can see a general explanation of the procedure to solve the exercise: </h3>
For this exercise you can apply the following formula, which is used to calculate the area of a trapezoid:
Where "B" and "b" are the bases of the trapezoid and "h" is the height.
So, substituting values into the formula and evaluating, you can find the area of trapezoid-shaped region.
Since the population in the trapezoid-shaped region is about 3,000 people, you can find the number of people per square mile dividing the population by the area of the region.
Then, the following expression represents the number of people per square mile in that region:
Answer: 1³/₅ of cake left
Step-by-step explanation:
There were two cheesecakes.
One was taken and cut into 10 slices, 4 of which were sold. The remainder of Cake A is:
= 10 - 4
= 6 slices
1 cake and 6 slices are therefore left.
As the 6 slices were originally 10, this expression in fraction is:
= 6/10
= 3/5
There are therefore:
= 1³/₅ of cake left
Answer:
79.4 m
Step-by-step explanation:
In this problem we deal with a right triangle with hypotenuse 90 m. We are told that tan Ф = 15/8; 15 represents the vertical distance of the kite off the ground and 8 represents the horizontal distance from the kite flyer to the kite. This is sufficient info from which to determine the angle of elevation from kite flyer to kite: tan Ф = 15/8 yields Ф = 1.08 radians.
Using this same angle Ф = 1.08 radians, sin Ф = (vertical distance) / hypotenuse = sin 1.08 rad = 0.882.
Then the vertical distance (height of the kite) is
(90 m)(0.882) = 79.4 m
