Answer: $ 10,988.25
Step-by-step explanation:
Hi, to answer this question, first we have to multiply the original number of students scheduled to go to the trip (420) by the added students’ percentage (15%) in decimal form (divided by 100)
420 x (15/100) = 420 x 0.15 = 63 students added
Adding the number of extra students to the original number:
420+63 = 483 students (total number of students)
Finally, we have to multiply the result by the cost of each admission ticket (22.75)
483 x 22.75 = $ 10,988.25
This is the picture I am not very good at proofs but hopefully someone can solve it.
The pattern:
So it goes, 1, 2, 3, as the first number in each equation right.
Then it goes 4,5,6 as the second number in each equation.
<span>In other words, the first number + 3 = the second number
</span>
The sum or 3rd number is a zig zag pattern from the first and second numbers as shown below.
1 2 3 4 5 6 <span>7 </span>8 9
4 <span>5 </span>6 7 8 9 10 11 <span>12
</span>
1 * 5 = 5, 2 * 6 = 12, 3 * 7 = 21 .... 8 * 12 = 96
<span>So the answer of </span><span>8+11=96</span>
Answer:
Math expression= L[m]= W[g] / R[g/m]
answer=4.606Km
Step-by-step explanation:
It is known that the cable weighs 44kg / km therefore if the weight is divided by this amount we can find how much cable length was spent
L=W/R
L= leght of wire used(m)
W=weight used(g)=205g
R= relation between weight and leght(g/m)=44.5g/km=0.0445g/m
L=205g/0.0445g/m= 4606.74m= 4.606Km
Answer: Approximately 14.647147438893 meters
Round this value however you need.
===============================================================
Explanation:
Refer to the diagram below. The blue horizontal line is the water surface, and just below that are points A and B to represent diver 1 and diver 2 respectively. Point C is the shark's location. The diagram is not to scale. The assumption is that the two divers are at the same depth in the water.
Angle A (also known as angle BAC or CAB) is the angle formed at diver 1's location, which is the 47 degree angle mentioned earlier. Angle B is 40 degrees. This must mean angle C is 180-A-B = 180-47-40 = 93 degrees. Note how A+B+C = 47+40+93 = 180.
The goal is to find the distance from diver 2 to the shark. So we want the distance from point B to point C. In other words, we want the length of segment BC. Since this segment is opposite angle A, we'll refer to this side as lowercase 'a'. The lowercase letters represent side lengths and they are conventionally opposite the uppercase letter angles. So side b is opposite angle B, and side c is opposite angle C.
Here's what we have so far:
- side a = unknown = what we want to solve for
- angle A = 47 degrees
- side c = 20 meters = distance between the two divers
- angle C = 93 degrees
We can apply the law of sines to find side 'a'.
a/sin(A) = c/sin(C)
a/sin(47) = 20/sin(93)
a = sin(47)*( 20/sin(93) )
a = 14.647147438893
Make sure your calculator is in degree mode.
The distance from diver 2 to the shark is approximately 14.647147438893 meters. Round this value however you need.