Answer:
24 blocks will be needed to make the tower that is 4 feet high
Step-by-step explanation:
Let us use the ratio method to solve the question
∵ Charlie knows that 3 blocks are needed to make a tower that is
0.5 foot high
∵ He needs to make a tower that is 4 feet high
→ By using the ratio method
→ Blocks : height (ft)
→ 3 : 0.5
→ x : 4
→ By using the cross multiplication
∵ x × 0.5 = 3 × 4
∴ 0.5x = 12
→ Divide both sides by 0.5 to find x
∵
= 
∴ x = 24
∵ x represents the number of blocks
∴ 24 blocks will be needed to make the tower that is 4 feet high
Answer:
sin( -∅ )
- 1 / csc ( ∅ )
1 / csc ( -∅ )
Step-by-step explanation:
Since sin(x) is and odd function (a function where f(-a) = f(a) ).
-sin( ∅ ) = sin( -∅ )
On the other hand, we know that sin( ∅ ) = 1 / csc ( ∅ )
Another odd function, so the same as before applies.
-sin( ∅ ) = -1 / csc ( ∅ )
-sin( ∅ ) = 1 / csc ( -∅ )
Answer:
Predicted value YHat is a symbol used to represent the predicted equation for a line of best fit in a linear regression. The equation usually take the form of 'a' as the y- intercept and 'b' as the slope of the graph. It is calculated from estimated regression equations for the line of best fit.
While outcome of experiment is the total of all possible results from an experiment.
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
The range of a data set is the numbers covered by the data. This means that the range is the difference between the minimum and maximum. The minimum is the smallest point, 2, and the maximum is the largest point, 8. Therefore, since 8-2=6, 6 must be the range.
Answer:
35/4, or 8 3/4 as a mixed number
Step-by-step explanation:
First, change 58 1/3 into an improper fraction by multiplying the whole number and denominator, then adding the numerator. 58 x 3 equals 174, + 1 equals 175. So, 58 1/3 as an improper fraction is 175/3. Next, change 6 2/3 into an improper fraction. 6 times 3 equals 18, plus 2 equals 20. So, it's 20/3. So, here are your two fractions:
175/3 & 20/3
To divide fractions, I like to use a method called Keep Change Flip. Basically, you keep the first fractions the same, then change the sign. The division sign changes into a multiplication symbol. Now, your equation should look like this: 175/3 x 20/3. Next, flip the fraction from 20/3 into 3/20. This is what your equation should look like now: 175/3 x 3/20. Now you can multiply the fractions together. Before you do so, you can cross reduce to make it easier. What is a number that both 3 and 3 can be divided by? The correct answer is 3. 3/3= 1, so the equation is now 175/1 x 1/20. However, you can continue to cross reduce. You can also divide 175 and 20 by 5, so the equation changes into this: 35/1 x 1/20. Multiply numerator by numerator, denominator by denominator. So, the answer is 35/4, or 8 3/4 as a mixed number. Hope this helped!