Solution:
Total number of students=273
Let x students choose Tiger. Then we can write
Number of students who choose Bulldog 
Number of students who choose Lion 
So we can write

Hence a total of 39*2=78 student choose Tiger.
Firstly, we need to understand the formula of point-slope form:

Where x and y is the coordinates and m is the slope respectively.
To find the slope:

In this case:

We can then put the above slope and the point (-1,4) into the formula:
4-y = -1/2(-1-x)
-y = 1/2+1/2x-4
y = -1/2x+7/2
Alternatively:
y-4=-1/2(x-(-1))
y=-1/2x-1/2+4
y = -1/2x+7/2
Therefore the answer is y = -1/2x+7/2.
Hope it helps!
Find, corrrect to the nearest degree, the three angles of the triangle with the given vertices. D(0,1,1), E(-2,4,3), C(1,2,-1)
Sholpan [36]
Answer:
The three angles of the triangle given above are 23, 73 and 84 correct to the nearest degree. The concept of dot product under vectors was applied in solving this problem. The three positions forming the triangle were taken as positions vectors. The Dot product also known as scalar product is a very good way of finding the angle between two vectors. ( in this case the sides of the triangle given above). Below is a picture of the step by step procedure of the solution.
Step-by-step explanation:
The first thing to do is to treat the given positions in space as position vectors which gives us room to perform vector manipulations on them. Next we calculate the magnitude of the position vector which is the square root of the sun of the square of the positions of the vectors along the three respective axes). Then we calculate the dot product. After this is calculated the angle can then be found easily using formula for the dot product.
Thank you for reading this and I hope it is helpful to you.
The lengths of the rectangles are 7 and 12 respectively. Form the ratio 7/12. The widths of the rects. are x and 5 respectively. Form the ratio x/5. Now equate these two ratios:
7 x
--- = ---
12 5
Solve this for x. One way to do this would be to cross-multiply, obtaining 12x = 35, and solving this result for x. x will be a fraction. Write the numerator and denominator in the boxes given.
Step 1: Let's review the information provided to us to answer the problem correctly:
• Option 1: $5.99 for 12 coffees
,
• Option 2: $ 23.99 for 70 coffee
Step 2: Let's calculate the cost of a coffee in each option, as follows:
• Cost of a coffee in Option 1 = 5.99/12 = 0.50 (rounding to the next cent): This means that every cup of coffee costs $ 0.50
• Cost of a coffe in Option 2 = 23.99/70 = 0.34 This means that every cup of coffee costs $ 0.34
Step 3: Now we can decide which is the better deal and why.
The better deal is option ........ because it is cheaper than option..........
You can complete step 3, Kay.