Mathematics, 17.06.2020 07:57, Aaron5795
Dennis let go of a penny at the top of a well, and the penny fell straight down to the bottom of the well. The top of the well was 1\dfrac{1}{2}1
2
1
1, start fraction, 1, divided by, 2, end fraction meters above ground. The bottom of the well was 111111 meters below ground.
The following equation describes this situation.
\quad 1\dfrac{1}{2} + \left(-12 \dfrac{1}{2} \right) = -111
2
1
+(−12
2
1
)=−111, start fraction, 1, divided by, 2, end fraction, plus, left parenthesis, minus, 12, start fraction, 1, divided by, 2, end fraction, right parenthesis, equals, minus, 11
What does -12\dfrac{1}{2}−12
2
1
minus, 12, start fraction, 1, divided by, 2, end fraction tell us?
Choose 1
Choose 1
(Choice A)
A
The distance between ground level and the bottom of the well is 12\dfrac1212
2
1
12, start fraction, 1, divided by, 2, end fraction meters.
(Choice B)
B
The distance between the top of the well and the bottom of the well was 12\dfrac{1}{2}12
2
1
12, start fraction, 1, divided by, 2, end fraction meters.
(Choice C, Checked)
C
None of the above
Answers: 2
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Ateam of runners is needed to run a 1 2 -mile relay race. if each runner must run 1 4 mile, how many runners will be needed?
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Mathematics, 21.06.2019 23:30, legendman27
Given: ad¯¯¯¯¯ is an altitude. prove: ab2+ac2=cb2 right triangle a b c with right angle a. point d lies on side b c and segment a d is drawn. angle a d c is a right angle. drag and drop a reason into each box to correctly complete the two-column proof. statement reason ad¯¯¯¯¯ is an altitude, and ∠bac is a right angle. given ∠adb and ∠adc are right angles. definition of altitude ∠bac≅∠bda ? ∠bac≅∠adc ? ∠b≅∠b ? ∠c≅∠c reflexive property of congruence △abc∼△dba ? △abc∼△dac aa similarity postulate abbd=cbab ? ab2=(cb)(bd) cross multiply and simplify. acdc=cbac polygon similarity postulate ac2=(cb)(dc) cross multiply and simplify. ab2+ac2=ab2+(cb)(dc) addition property of equality ab2+ac2=(cb)(bd)+(cb)(dc) substitution property of equality ab2+ac2=(cb)(bd+dc) ? bd+dc=cb segment addition postulate ab2+ac2=cb2 substitution property of equality
Answers: 1
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