The shape at the top is a trapezoid with width 2 cm and lengths 4 and 8 cm.
Its area is
4+8
-------- 2 cm = 12 cm^2
2
The lower part consists of two congruent triangles. The area of a triangle is
A = (1/2)(b)(h). Here, A = (1/2) (4)(5.75) = 11.5, so the area of both triangles is 23 cm^2.
Thus, the total area is (12+23) cm^2, or 35 cm^2.
In functions; translations are used to move lines, points or shapes across the graph (i.e. up, down, right or left).
The translation from 
to 
is to shift to the left by 5 units and then downward by 5 units
The given parameters are:
Assume the first point is:
While the second is:
The first point is first shifted left by 5 units
The rule to this translation is: 
So, we have:
Next, the resulting function is shifted down by 5 units.
The rule to this translation is: 
So, we have:
This gives:
Hence, the translation from to is to shift to the left by 5 units and then downward by 5 units
Read more about transformations at:
brainly.com/question/16619654
Answer:
Step-by-step explanation:
First change 4 3/10 to 4.3. Then you change 4.3 + -6.2 to 4.3 - 6.2.
Then you do 4.3 - 6.2 and you should get - 1.9.
Answer:
There will be 916 ants alive after 4 months.
Step-by-step explanation:
Step 1
Let's change the percentage to a decimal by dividing by a 100.
6.5% / 100 = .065
Step 2
So, for the first month we will multiply the initial amount of ants by .065 and this will give us the number of ants that die.
1200 * .065 = 78
This means that after the first month, 1200 - 78 = 1122 ants will be alive.
Step 3
Now for the second month: 1122 * .065 = 72.93 (rounded to 73)
1122 - 73 = 1049 ants will be alive
Step 4
For the third month 1049 * .065 = 68.185 (rounded to 68)
1049 - 68 = 981 ants will be alive
Step 5
For the fourth month 981 * .065 = 63.765 (rounded to 64)
981 - 64 = 916 ants will be alive
Hope this helps!
