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lapo4ka [179]
3 years ago
13

3 2/3 divided by 2 2/3

Mathematics
2 answers:
ryzh [129]3 years ago
8 0
The simplified answer would be 11/9
Goshia [24]3 years ago
5 0

Answer:

1 3/8

Step-by-step explanation:

3 2/3 = 11/3

2 2/3 = 8/3

11/3 / 8/3 = 11/3*3/8 = 11/8 = 1 3/8

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Given: ∠AOC, ∠BOC - complementary angles
34kurt

Answer:

  • 30
  • COB . . . . or . . . . BOC

Step-by-step explanation:

The reason given on the line of interest is "substitution," so the problem boils down to determining what was substituted for what. The previous statement says ...

  AOC + COB = 90

and the first part of the statement we're to complete has BOC + ___.

We see from the given statements that m∠AOC = m∠BOC + 30°, so it appears that is the substitution that has been made: AOC has been replaced by BOC + 30.

This means the first blank is filled with 30.

__

The second part of the previous statement is ...

  AOC + COB = 90

so we believe this (COB) should go in the second blank.

__

Then the line of interest would read ...

  BOC + 30 + COB = 90

_____

<em>Comment on the problem</em>

There is a curious mix of notations here. Usually, (as in the beginning of this problem) we refer to the measure of an angle using "m∠" in front of the angle designator, and we use a degree symbol to indicate the units of that measure. Part-way through the problem statement written here, those notations were dropped, and we're to assume they are intended. IMO, this is a poor way to demonstrate careful problem solving.

The substitution given for AOC is BOC+30, but the line into which that is substituted has AOC +COB = 90. This means the equation after substitution is ...

  BOC +30 +COB = 90

Since BOC and COB are the same angle, we can sort of fudge the "algebra" to get to  BOC=30, but if the problem were more carefully written, the angle would be referred to by consistent nomenclature:

  m∠AOC + m∠BOC = 90° . . . . . . . . . preferred angle designations

  (m∠BOC + 30°) + m∠BOC = 90° . . . . substitution for m∠AOC

  2(m∠BOC) = 60° . . . . . . algebra (subtract 30°, collect terms)

  m∠BOC = 30° . . . . . . . . algebra (divide by 2)

3 0
2 years ago
What Is The Pythagorean Theorem?. ^ Means to the power of...
VladimirAG [237]

Answer:

I wish I knew that answer

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
HELP DUE IN 15 MINS!<br><br> x =??
Alisiya [41]

Answer:

x = 32

Step-by-step explanation:

Using the Secant and Tangent Intersection Theorem we can say;

(x + 18) (18) = 30²

18x + 324 = 900

18x = 576

x = 32

Hope this helps!

5 0
3 years ago
Read 2 more answers
The cafeteria wants to buy 4,500 new forks. If each package contains 90 forks, how many packages should the cafeteria buy?
nikdorinn [45]

Answer:

50

Step-by-step explanation:

4,500÷90=50

and to check

90×50=4500

4 0
2 years ago
A 10-yr-old competes in gymnastics. For several competitions, she received the following "All-Around" scores: 35.5, 36.3. 36.6,
Delicious77 [7]

Answer:

The child needs a score of 37.2 to move up to the next level of the competition.

Step-by-step explanation:

The mean is the sum of all scores divided by the number of competions. So

M = \frac{S}{T}

In which S is the sum of all her scores and T is the number of competitions.

The child has five competions:

Which means that T = 5

She has to get a mean of at least 36.5, so M = 36.5

Her scores are: 35.5, 36.3. 36.6, and 36.9. Her last score, i am going to call x. So

S = 35.5 + 36.3 + 36.6 + 36.9 + x = 145.3 + x

The child needs a score of _____ to move up to the next level of the competition.

This score is x. So

M = \frac{S}{T}

36.5 = \frac{145.3 + x}{5}

145.3 + x = 36.5*5

x = 37.2

3 0
2 years ago
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