Answer:
y = 15
Step-by-step explanation:
The triangles follow a scale factor. This scale factor can enlarge or make a triangle smaller, using this factor, like a ratio. We can do 22/10 to get this scale factor for the set, which is 2.2. Finally, divide 33 by 2.2 to get 15 for the missing side length y.
Answer:
1) d. 2400
2) d.4200
Step-by-step explanation:
As per given data:
F(x) represents number of fish
x represents number of weeks
Relation between F(x) and x is given as
F(x)= 500 (1.2)x
Now part 1:
How many fish are in the pond after 4 weeks=?
x=4
Putting in given equation F(x)= 500 (1.2)x
F(x)= 500(1.2)(4)
= 2400
Now part 2:
How many fish are in the pond after 7 weeks?
x=7
Putting in given equation F(x)= 500 (1.2)x
F(x)= 500(1.2)(7)
= 4200 !
Answer:
32
Step-by-step explanation:
Area of a big right triangle = 1/2 * 4 * (2+2+6) = 1/2 * 4 *10 =20
Area of a left right triangle = 1/2* 2*2 = 2
Area of a right right triangle = 1/2 * 6*2 =6
Area of a square = 2*2 = 4
All together:
20+ 2+6+4 =32
ANSWER

EXPLANATION
A basic sine curve has equation in the form:

Where 'a' is the amplitude.
In this case a=2 because the amplitude is 2.

For a transformed sine function, the general equation is:

where a=2 is still the amplitude

This is also a sine function with an amplitude of 2.
Others include:


e.t.c
Remember that the formula for simple interest is:

is the interest earned
is the principal amount invested
is the interest rate, represented as a decimal
is the amount of time in years
Using information the problem gave us, we can say that the amount of interest earned after one year is:

After 1 year, we will have earned $21. Remember though that we also need to find the amount we will earn after 4 months. Since there are 12 months in a full year, we can say that 4 mohts represents a third of a year. Thus, let's multiply our interest by one-third.

After 4 months, we will have generated $7 and after one year we will have generated $21.