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3 years ago

1/6+3/6=4/12 what's wrong

Mathematics

2 answers:

Elena L [17]3 years ago

8 0

Answer:

1/6 + 3/6 is actually 2/3, so the answer is wrong

Step-by-step explanation:

finlep [7]3 years ago

5 0

Answer:

When adding two fractions with a common denominator, you do NOT add the denominators together. Therefore, we can say $\frac{1}{6}$ + $\frac{3}{6}$ = $\frac{4}{6}$ and not $\frac{4}{12}$ .

Hope this helps and stay safe and healthy in quarantine!

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3 years ago

Use the diagram, which is not drawn to scale to find AD if you know that AC=24 & BC=12

Firdavs [7]

Answer:

Option b. $AD=18\ units$

Step-by-step explanation:

step 1

In the right triangle ABC

<em>Find the sine of angle CAB</em>

$sin($ ---> the sine of angle CAB is equal to divide the opposite side angle CAB (BC) by the hypotenuse (AC)

substitute

$sin($

simplify

$sin($ ---->equation A

step 2

In the right triangle BDC

<em>Find the sine of angle CBD</em>

$sin($ ---> the sine of angle CBD is equal to divide the opposite side angle CBD (DC) by the hypotenuse (BC)

substitute

$sin($ ----> equation B

step 3

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem

Triangles ABC and BDC are similar by AA Similarity Theorem

therefore

m∠CBD≅m∠CAB

equate equation A and equation B

$\frac{DC}{12}=\frac{1}{2}$

solve for DC

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step 4

Find the value of AD

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3 years ago

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Lieutenant Commander Data is planning to make his monthly (every 30 days) trek to Gamma Hydra City to pick up a supply of isolin

Nookie1986 [14]

Answer:

$N = 209 \ unites$

$N_{max} = 249$

Step-by-step explanation:

From the question we are told that

The daily demand is $d = 7/day$

The standard deviation is $\sigma = 3 /day$

The service probability is $s = 95\% = 0.95$

The number of chips in the inventory is $k = 40$

The number of days in his monthly is $T = 30 \ days$

The lead time is $L = 4$

Generally the number he should order (optimal order ) is mathematically represented as

$N = d(L + T)+(\sigma_{T + L} * z) -k$

Here $\sigma__{T+L }}$ is the monthly standard deviation which is mathematically evaluated as

$\sigma__{T + L}} = \sqrt{(T + L) * 1^2}$

=> $\sigma__{T + L}} = \sqrt{34}$

=> $\sigma__{T+L}} = 5.83$

Also z-value for the 95% service probability from the z-table is 1.96

$N = 7 * (30 +4 ) + (1.96 * 5.83) - 40$

=> $N = 209 \ unites$

For the maximum order quantity k = 0

$N_{max} = d(L + T)+(\sigma_{T + L} * z) -0$

=> $N_{max} = 7 * (30 +4 ) + (1.96 * 5.83) - 0$

=> $N_{max} = 249$

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3 years ago