Well first you need to divide 4 by 12 which is 3. So 15/3=5 so she jarred in 5 days.
Let's rewrite the binomial as:
Using the binomial expansion, we get:
For the 15th term, we want the term where r is equal to 14, because of the fact that the first term starts when r = 0. Thus, for the 15th term, we need to include the 0th or the first term of the binomial expansion.
Thus, the fifteenth term is:
Answer: 20 feet.
Step-by-step explanation:
Observe the right triangle attached.
You need to find the value of "x".
Then, you can use the Pythagorean Theorem:
Where "a" is the hypotenuse of the triangle, and "b" and "c" are the legs.
In this case, you can identify that:
Substitute these values into :
Now, you need to solve for x to find how far up the wall the top of the ladder reaches. Then you get:
The arc measure of AD in degrees is 43 degrees.
<u>Step-by-step explanation</u>:
- The angle measure of the straight line is 180°.
- ∠APD + ∠DPC + ∠CPB = 180°
⇒ (7x+1)° + 90° + (9x-7)° = 180°
⇒ 16x + 84° = 180°
⇒ 16x = 96°
⇒ x = 96/16
x = 6
Substitute x=6 for angle ∠APD = (7x+1)°
∠APD = 7(6)+1 = 43°
The arc measure of AD in degrees = 43 degrees.
Answer:
124 in^2
Step-by-step explanation:
Please see the attached image.
The area of the rectangle is 6*14=84
The area of the triangle is (8*10)/2=40
The total area is the rectangle plus the triangle, so 84+40=124 in^2.