Answer:
The length of the first piece is 4 inches, that of the second is 8 inches and the third 19 inches.
Step-by-step explanation:
Total length of the steel = 31 inches
Let the length of the first piece = x
let the length of the second piece = y
Let the length of the third piece = z
So,
y = 2x
z = 4x + 3
x + 2x + 4x +3 = total length of the steel = 31
7x + 3 + 31
7x = 31 - 3
7x = 28
x= 4 inches
Thus; y = 2x = 2 × 4 = 8 inches
z = 4x +3 = 4×4 +3 =19 inches
∴The length of the first piece is 4 inches, that of the second is 8 inches and the third 19 inches.
Since FA || BE, then angle 1 must equal angle 2 since they are corresponding angles along parallel lines where the transverse line cuts.
Thus, if angle 1 is 59, then angle 2 must also be 59 (ie D)
Answer:
3/2
Step-by-step explanation:
Assuming you meant fractions, to divide them, you must multiply the reciprocal of that fraction. You'll then have:
4/5x15/8
Reduce the numbers of the greatest common factor which is 5:
4x3/8
Reduce the numbers of the greatest common factor which is now 4:
3/2 is your answer
Answer:
In 1942 , the U.S. Mint produced 154,500,000 nickels. The scientific notation of 154,500,000 is obtained as
.
Step-by-step explanation:
- In the problem, it is given that in 1942, the U.S. Mint produced 154,500,000 nickels.
- It is required to write 154,500,000 in scientific notation.
- To solve this first, move the decimal point so that the first factor is greater than or equal to 1 also it should be less than 10.
- Count the number of decimal places n, and write the number as a product with a power of 10. Then check the answer.
Step 1 of 2
Obtain the scientific notation.
Here the original number, 154,500,000 is greater than 1 so we will have a positive power of 10 .
Move the decimal point to get 1.545, a number between 1 and 10 . Then we get,
1.54500000
The count of the number of decimal places the point was moved is 8 .
Write as a product with a positive power of 10 .

Step 2 of 2
Check the answer.
Rewrite and simplify to check our answer.
