Answer:
504 different ways
Step-by-step explanation:
There are 9 people competing
9 Different people can come in 1st
We have a winner
Now there are only 8 people left to come in second
8 different people can come in 2nd
There is 1 second place winner
Now there are only 7 people left to come in second
7 different people can come in 3rd
9*8*7 =504
There are 504 different ways
Answer:
Directions: Find the missing measures in each figure. Keep the ... m<B+42 = 90. MLB-48. 8. ... x = 5. X = 14. MCR = 1215)-3 = 57° m<Q = 9614)-3-123°. 16. 21 and 22 form a linear pair. The ... 1. 5. 2. 6. 3. 7. 4. 8 p q. Examples' name the type of angle relationship. ... (4017)+3)+5y+35=180 ... Directions: Find x so that a || b.
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
4x4 + 32x - 28 = 0
Semester 1:
let the number of students in the art class be 2a, and the number of the students in the gym class be 7a. (check: the ratio is 2a:7a = 2:7)
so the total number of students is 9a.
semester 2:
the 9a students are go to the art class and gym class at a a ratio of 5: 4,
so 5a students go to the art class, and 4a students go to the gym class.
<span>75 students are in art class in second semester means that 5a=75,
so a=75/5=15.
In the 1st semester the number of students was:
art class: 2a=2*15=30
gym class: 7a=7*15=105</span>
Answer:
<em>The area of the triangle DEF is 10.</em>
Step-by-step explanation:
<u>Area of a Triangle:</u>
A triangle of base B and height H (both must be perpendicular) has an area of:
The image below shows the triangle formed by the points DEF. It's important to notice the points E and F lie on the same horizontal line because they both have the same y-coordinate.
This fact simplifies the calculations since we can easily compute the length the of base as the difference of their x-coordinates:
B=3-(-2)=3+2=5
Being the base of a horizontal line, the height of the triangle can be calculated as the difference of y-coordinates of D and the height of that line.
H=2-(-2)=4
With these two values, we calculate the area:
The area of the triangle DEF is 10.
