Find the product. -8 [7,-4,0][-3,0,5][6,2,1]

139 students choose to attend one of three after school activities: football, tennis or running.

attashe74 [19]

Answer: 29/139

Explanation:

Total student: 139 (66 boys/73 girls)

Football: 56 student (28 boy/28 girl)

Tennis: 54 student (27 boy/ 27 girl)

Running: 29 student (18 girls/11 boys)

The probability that a student chose running is 29/139

5 0

1 year ago

Pls help me .question no 14

Alex_Xolod [135]

Question 14, Part (i)

Focus on quadrilateral ABCD. The interior angles add to 360 (this is true for any quadrilateral), so,

A+B+C+D = 360

A+90+C+90 = 360

A+C+180 = 360

A+C = 360-180

A+C = 180

Since angles A and C add to 180, this shows they are supplementary. This is the same as saying angles 2 and 3 are supplementary.

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Question 14, Part (ii)

Let

x = measure of angle 1

y = measure of angle 2

z = measure of angle 3

Back in part (i) above, we showed that y + z = 180

Note that angles 1 and 2 are adjacent to form a straight line, so we can say

x+y = 180

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We have the two equations x+y = 180 and y+z = 180 to form this system of equations

$\begin{cases}x+y = 180\\y+z = 180\end{cases}$

Which is really the same as this system

$\begin{cases}x+y+0 = 180\\0+y+z = 180\end{cases}$

The 0s help align the y terms up. Subtracting straight down leads to the equation x-z = 0 and we can solve to get x = z. Therefore showing that angle 1 and angle 3 are congruent. We could also use the substitution rule to end up with x = z as well.

4 0

3 years ago

12 pts? Harris and Annabelle are 200 feet apart, and they are standing on opposite sides of a tree. The angles of elevation from

Sergio [31]

If we are to connect the root of the tree to a person to the top of the tree, we form two right triangles. If we let x and and 200 - x be the distance of Harris and Annabelle from the tree, respectively and h be the height, we form the trigonometric functions,
tan 30° = h/x
tan 35° = h/(200 - x)
The values of h and x in the equations are 63.28 ft and 109.62 ft, respectively. Thus, the answer to this item is approximately 63.28 ft.

5 0

2 years ago

A 12 foot rope is cut into two pieces so that one piece is 3 feet less than twice the length of the other piece. how long is eac

olga2289 [7]

12 feet long

1st piece = x

2nd piece = 2x-3

3x-3 =12

3x=15

x = 5

1st piece = 5 feet

2nd piece = 2*5=10-3=7 feet

4 0

2 years ago

Find the number of terms, n, in the arithmetic series whose first term is 13, the common difference is 7, and the sum is 2613.

siniylev [52]

Answer:

A

Step-by-step explanation:

Recall that the sum of an arithmetic series is given by:

$\displaystyle S = \frac{n}{2}\left(a + x_n\right)$

Where n is the number of terms, a is the first term, and x_n is the last term.

We know that the initial term a is 13, the common difference is 7, and the total sum is 2613. Since we want to find the number of terms, we want to find n.

First, find the last term. Recall that the direct formula for an arithmetic sequence is given by:

$x_n=a+d(n-1)$