Answer:
She can create a function for the total savings in terms of the time x by adding the two functions together. The new function should look like this:
T(x)=S(x)+a(x)
So now we can substitute the given functions:
T(x)=450+6(x-2)
But this function can be simplified for it to be easier for her to calculate her total amount of savings. We can do that by distributing the 6 into the parenthesis. This is, multiply the 6 by both the x and the -2, so we get:
T(x)=450+6x-12
and now we can combine like terms. We can subtract 12 from 450 so we get:
T(x)=6x+438
And that will be our final function.
Answer:
Yes, the shapes are similar. Note, the angles are equivalent and the sides are scales of each other satisfying the requirements for similarly.
Step-by-step explanation:
For a shape to be similar there are two conditions that must be met. (1) Must have equivalent angles (2) Sides must be related by a scalar.
In the two triangles presented, the first condition is met since each triangle has three angles, 90-53-37.
To test if the sides are scalar, each side must be related to a corresponding side of the other triangle with the same scalar.
9/6 = 3/2
12/8 = 3/2
15/10 = 3/2
Alternatively:
6/9 = 2/3
8/12 = 2/3
10/15 = 2/3
Since the relationship of the sides is the scalar 3/2 (Alternatively 2/3), then we can say the triangles meet the second condition.
Given that both conditions are satisfied, then we can say these triangles are similar.
Note, this is a "special case" right triangle commonly referred to as a 3-4-5 right triangle.
Cheers.
Answer:
she would need to work at least 13 hours lifeguarding to get to the 290 her with the of working an extra 3 hours
Step-by-step explanation:
subtract the 30 dollars from babysitting from the 290 needed you 260 then divide it by 20
Answer:
c
Step-by-step explanation:
4 times 5 is 20 and 20 times 6 is 120
Answer:
Below!
Step-by-step explanation:
Step 1:
Convert!
812 x 12 = 9744
212 x 12 = 2544
Step 2:
Multiply the new dimensions!
9744 x 2544 x 3
Step 3:
The answer would be:
74366208 in.
BUT!
We're not done yet!
Step 4:
Duplicate it!
REAL ANSWER:
148732416 in. or 12394368 feet!
