Answer:
Step-by-step explanation:
We can use Hypotenuse Theorem for this:
For triangle ABC,
AC²=CB²+BA²
9²=CB²+3²
Switch the sides
-CB²=3² -9²
-CB²= 9-81
-CB²= -72
the signs cut each other
CB²=72
the square changes sides
CB=√72
CB= 8.49 cm
Now triangle CBD
We have the length of CB but not the other two whereas we have the angle
It will be sin
As we know sin= O/H
Here O is CB whereas H is CD
Put the values
sin 50= 8.49/H
H= 8.49 ÷sin 50
Calculate
H=11.1 cm
As we know H is CD so CD is 11.1 cm
Hope it helps
Answer:
- 100
- 489.190
- 10,000
- 48,919,000
Step-by-step explanation:
Each factor of 10 in the divisor causes the decimal point to move 1 place to the left.
a) The decimal point has moved 2 places to the left. The divisor is 10^2 = 100.
b) The divisor is 10^3, so the decimal point will move 3 places to the left.
489.190
c) The decimal point has moved 4 places to the left, so the divisor is 10^4 = 10,000.
d) The divisor is 10^5, so the decimal point in the quotient if 5 places to the left of where it is in the dividend. Moving the quotient's decimal point 5 places to the right gives ...
48,919,000
_____
<em>Additional comment</em>
An exponent signifies repeated multiplication. Here, we're concerned with repeatedly multiplying (or dividing) by factors of 10. The exponent indicates the number of factors: 10·10 = 10^2 = 100. It also matches the number of zeros following the 1 in the product. 1000 = 10^3 has 3 zeros after the 1, for example.
Answer:
The last choice: 68/5 - 22/5 = 9 1/5
Step-by-step explanation:
Solve each problem:
9 3/7 = 10 3/7
The fractions are the same so look at the whole numbers.
Does 9 equal 10? No, it doesn't so this is a false statement.
332/4 = 1/83
Simplify 332/4:
332/4 = 83/1
83 does not equal 1/83 so this is a false statement.
37/5 = 5 2/5
Convert the improper fraction into a mixed number:
7 2/5 = 5 2/5
These numbers do not equal each other so this is a false.
68/5 - 22/5 = 9 1/5
Subtract the numerators on the left side of the equation:
46/5 = 9 1/5
Convert the improper fraction into a mixed number:
9 1/5 = 9 1/5
These numbers equal each other so this is a true statement!
The number of loaves can be determined with dividing the butter by the number of cups needed for a loaf.
loaves = 2 1/2 ÷ 3/4
Change into improper fraction
loaves = 2 1/2 ÷ 3/4
loaves = 5/2 ÷ 3/4
Change into multiplication
loaves = 5/2 ÷ 3/4
loaves = 5/2 × 4/3
loaves = 20/6
loaves = 10/3
loaves = 3.3
Because the number of loaves can't be a fraction, round it to the smaller whole number
Roger can make 3 loaves of bread
