Answer:
75 mm^2
Step-by-step explanation:
use pythageron theorem to find the area of the triangle
7^2=5^2+b^2
b=4.489mm
multiply the of b by the height (5mm) to get the area. usually for the area of a triangle you divide by two, but because there is an identical triangle on the other side, it will be doubled, so dividing it by 2 is redundant.
4.489*5 = 24.49mm^2
Make a rectangle in the middle of the shape, creating a triangle on the right, like they did on the left. That right triangle is included in the calcualtion above. the rectangle is base *height. The base is 15 - b which was 4.489. therefore the rectanlge is
5*10.1 = 50.5mm^2
add the areas together: 50.5 +24.49 = 75 mm^2
Answer:
Step-by-step explanation:
Graphing:
Slope intercept form y=mx+b
a is y, p is x
y=-2x+14
y=-x+9
Intercept at (5,4)
This can be solved by creating a system of equations.
x + y = 254
12.5x + 10y = 2745
We can then use substitution to solve the system.
x = 254 - y
12.5(254-y) + 10y = 2745
3175 - 12.5y + 10y = 2745
-2.5y = -430
y = 172
Finally, we can use that answer to solve for x.
x + 172 = 254
x = 82
So, there were 82 of the lower box tickets sold and 172 of the upper box tickets sold.
Answer:
In choice A, the compound inequality x ≤ 6 OR x > 9 and the graph match the given simple inequalities
Step-by-step explanation:
In the compound inequality
- If the sign of inequality is >, then the arrow represented it pointed to the right
- If the sign of inequality is <, then the arrow represented it pointed to the left
- If the sign of inequality is ≥ or ≤, then the end of the arrow is a bold circle
- If the sign of inequality is > or <, then the end of the arrow is an empty circle
Let us solve the question
∵ x ≤ 6
∴ The arrow represents it is starting at 6 with a bold circle and
pointed to the left side
∵ x > 9
∴ The arrow represents it is starting at 9 with an empty circle and
pointed to the right side
→ Look at the graphs to find the answer that represents the information
above
In choice A
∵ an arrow with a bold end started from 6 and pointed to the left
∵ an arrow with an empty end started from 9 and pointed to the right
∴ x ≤ 6 OR x > 9 and the graph match the given simple inequalities
23 for distance and -18 for displacement between them
