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Finger [1]
2 years ago
10

Log(8)a/2. Expand the logarithmic expression.

Mathematics
1 answer:
maks197457 [2]2 years ago
5 0
Log(8a/2) = log8 + log a - log 2

The simple rules here are: If logarithms (as in this case) have same basis, factors inside logarithm can be written as sum of logarithms or difference between logarithms (first if factors are multiplying and second if factors are dividing)
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What is the value of X plz help
Tema [17]

Answer:

x = 16

Step-by-step explanation:

(5x + 12)° + (6x - 8)° = 180°

(5x + 12 + 6x - 8)° = 180°

(11x + 4)° = 180°

11x + 4 = 180

11x = 180- 4

11x = 176

x = 176/11

x = 16

5 0
3 years ago
Jamie has 79 popsicles. Vincent has seven times as many as Jamie. How many popsicles do they have all together?
maxonik [38]
(79 x 7) + 79 = 632

You first have ro find the number of popsicles Vincent has and then add the number Jamie has to it. They have a combined total of 632 whichbis D) None of the above.
5 0
3 years ago
Read 2 more answers
Glenda wrote 2/10 of her paper on Monday, 1/10 of her people on Tuesday and 1/10 of her paper on Wednesday . She says she will m
Alecsey [184]
Glenda is incorrect. shes wrong because she wrote 4/10 thats close to 1/2 but its not one half
3 0
2 years ago
Read 2 more answers
Help please will mark brainliest!
Nat2105 [25]

Answer:

Option B. Cosec θ = –5/3

Option C. Cot θ = 4/3

Option D. Cos θ = –4/5

Step-by-step explanation:

From the question given above, the following data were obtained:

Tan θ = 3/4

θ is in 3rd quadrant

Recall

Tan θ = Opposite / Adjacent

Tan θ = 3/4 = Opposite / Adjacent

Thus,

Opposite = 3

Adjacent = 4

Next, we shall determine the Hypothenus. This can be obtained as follow:

Opposite = 3

Adjacent = 4

Hypothenus =?

Hypo² = Opp² + Adj²

Hypo² = 3² + 4²

Hypo² = 9 + 16

Hypo² = 25

Take the square root of both side

Hypo = √25

Hypothenus = 5

Recall:

In the 3rd quadant, only Tan is positive.

Therefore,

Hypothenus = –5

Finally, we shall determine Sine θ, Cos θ, Cot θ and Cosec θ to determine which option is correct. This can be obtained as follow:

Opposite = 3

Adjacent = 4

Hypothenus = –5

Sine θ = Opposite / Hypothenus

Sine θ = 3/–5

Sine θ = –3/5

Cos θ = Adjacent / Hypothenus

Cos θ = 4/–5

Cos θ = –4/5

Cot θ = 1/ Tan θ

Tan θ = 3/4

Cot θ = 1 ÷ 3/4

Invert

Cot θ = 1 × 4/3

Cot θ = 4/3

Cosec θ = 1/ Sine θ

Sine θ = –3/5

Cosec θ = 1 ÷ –3/5

Invert

Cosec θ = 1 × –5/3

Cosec θ = –5/3

SUMMARY

Sine θ = –3/5

Cos θ = –4/5

Tan θ = 3/4

Cot θ = 4/3

Cosec θ = –5/3

Therefore, option B, C and D gives the correct answer to the question.

5 0
3 years ago
The product of two numbers is 450. The first number is half the second number. which equation can be used to find x, the greater
sveticcg [70]
Xy=450
x=1/2(y)

1/2 (y^2)=450
y^2=900
Answer : y=30 x=15
6 0
3 years ago
Read 2 more answers
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