9514 1404 393
Answer:
2. D
3. B
4. D
5. A
Step-by-step explanation:
2. Write the ratio using the given words, then fill in the corresponding numbers. Factor out the greatest common factor.*
soccer players : volleyball players = 84 : 36 = 12·7 : 12·3 = 7 : 3
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3. The <em>angle bisector</em> has angle marks on either side of it. The only angle marks are at angle G, where GL is the bisector.
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4. The <em>median</em> is drawn from a vertex to the midpoint of the opposite side. The only side with a midpoint marked is IG with midpoint J. The median is HJ.
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5. An altitude is drawn from a vertex to the opposite side, where it meets at right angles. Two right angles are shown: at J and at K. The perpendicular line at J does not meet any vertex. The perpendicular line at K meets vertex I, so KI is the altitude.
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* For larger numbers, or ones whose factors you aren't familiar with, it can be useful to know Euclid's method for finding the greatest common factor (GCF). Divide the larger number by the smaller and keep the remainder. If the remainder is 0, the smaller is the GCF. If not, replace the larger number with the remainder and repeat.
Here, that looks like ...
84 / 36 = 2 r 12
36 / 12 = 3 r 0 . . . . . 12 is the GCF
Answer:
20 minutes
Step-by-step explanation:
To make one round of the field, Lisa will have to cover the entire perimeter of the field.
The perimeter of a rectangle = 2(l+w) Where L = length and W = width.
The multiplication of 2 means two lengths and widths that each rectangle has. The perimeter of the field = 2(150 +50) = 400m
Lisa's average running speed = 100m/min
The time taken to cover one round of the field or one perimeter of the field = 400/100 = 4 minutes.
To cover 5 rounds or 5 perimeters Lisa will take 5x4 minutes = 20 minutes.
Find the volume of each size stack by multiplying Length x width x height.
Once you have the volume for the 3 different stacks of books, add the together.
Bottom: 12 x 1 x 6 = 72 cubic inches per book x 2 = 144 cubic inches total.
Middle: 10 x 1 x 5 = 50 cubic inches per book x 2 = 100 cubic inches total.
Top: 7 x 0.5 x 4 = 14 cubic inches per book x 2 = 28 cubic inches total.
Total volume = 144 + 100 + 28 = 272 cubic inches.
Answer:
115ft^2
Step-by-step explanation:
10 * 11.5 = 115
Answer:
B) 3^-5 <em>(1 / 243)</em> and D) 2^5 x 6^-5 <em>(</em><em>1</em><em> </em><em>/</em><em> </em><em>2</em><em>4</em><em>3</em><em>)</em>
Step-by-step explanation:
3 to the negative 5th power as a fraction is
1 / 243.
2 to the power of 5 multiplied by 6 to the power of negative 5 also equals 1 / 243.
Both expressions are equivalent to 2^5 / 6^5 because they equal the same thing (1 / 243).
