Volume=length*width*height
Volume is 144
Height is 12
Width is 2
144=L*2*12
144=L*24
144/24=L
6=L
Length is 6 yards
Answer:6
Step-by-step explanation:
Answer:
In word form - "Two and fifty-one hundredths." In expanded form - 2 + 0.5 + 0.01.
Step-by-step explanation:
To write a decimal in word form, we write out the words we would say as we read the decimal. When we read a decimal, we read the whole number before the decimal. This is "two." The decimal is read as "and." After this, we read the digits behind the decimal as a group; 51 would be read as "fifty-one", and since 1 is in the hundredths place, it is "fifty-one hundredths."
To write a number in expanded form, we separate the digits by place value. 2 is in the ones place, so it equals 2. 5 is in the tenths place, so it equals 0.5. 1 is in the hundredths place, so it equals 0.01. Together this gives us:
2 + 0.5
Use the Multiplication Distributive Property: (xy)^a = x^ay^a
3√64 3√a^6 3√b^7 3√c^9
Calculate
4 3√a^6 3√b^7 3√c^9
Use this rule: (x^a)^b = x^ab
4a^6/3 3√b^7 3√c^9
Simplify 6/3 to 2
4a^2 3√b^7 3√c^9
Use this rule: (x^a)^b = x^ab
4a^2b^7/3 3√c^9
Use this rule: (x^a) = x^ab
4a^2b^7/3 c^9/3
Simplify 9/3 to 3
<h2><u>
Answer: B. 4a^2b^2c^3(3√b)</u></h2>
<u><em>Question Number 2.</em></u>
Use this rule: √ab = √a√b√120√x
Simplify √120 to 2√30
2√30√x
Simplify
<h2><u>
Answer: A. 2√30x</u></h2>
Answer:
(a) Reflection across the y-axis, followed by translation 10 units down
Step-by-step explanation:
Figure 2 is not a reflection across the origin of Figure 1, so neither of the double reflections will map one to the other.
Reflection across the y-axis will put the bottom point at (5, 3). The bottom point on Figure 2 is at (5, -7), so has been translated down by 3-(-7) = 10 units.
Figure 1 is mapped to Figure 2 by reflection over the y-axis and translation down 10 units.
