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Mumz [18]
4 years ago
6

n the pictured triangle, ∠A is 81 degrees and ∠B is 67 degrees. If side a is 34 units long, approximately how long is side b?

Mathematics
1 answer:
Sloan [31]4 years ago
7 0

Step-by-step explanation:

can u also attach the pictured triangle so we can know it exactly

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A 10% increase followed by another 10% increase is not the same as a total increase of
AlexFokin [52]

Answer:

21%

Step-by-step explanation:

Another 10% increased means it becomes 110*110/100 = 121. The first 10% increase means the second 10% increase will be an actual 11% increase from the original, so it will be a total of 21%.

6 0
3 years ago
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If 2 dozens of eggs cost #300. How much will 5 eggs cost?
LenKa [72]

answer:62.5

a dozen=12 eggs

12× 2 eggs=300

5 eggs=x

cross multiply

24x=1500

thus x=62.5

5 0
2 years ago
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The sum of two numbers is 59 and the difference is 5 what are the numbers
svlad2 [7]

Answer:

32 and 27

Step-by-step explanation:

59 - 5 = 54

54 ÷ 2 = 27( smallest no. )

27 + 5 = 32( largest no. )

3 0
3 years ago
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Evaluate the expression if a = 9 and b = 2. 5(a 3b) 20 51 70 75
devlian [24]
5(a + 3b) = 5(9 + 3(2)) = 5(9 + 6) = 5(15) = 75
5 0
3 years ago
g: Consider the following game. A coin is flipped. If it lands tails we stop playing and winnothing. If it lands heads we spin a
galben [10]

Answer:

E[W] = $25 (assuming the currency is in dollars)

Var(W) = 1041.67

Step-by-step explanation:

Probability of winning first starts with the coin toss.

For a win, the coin needs to land on heads.

Probability of that = 1/2 = 0.5

Then probability of winning any amount = 1/100 = 0.01

Total probability of winning any amount = 0.5 × 0.01 = 0.005

But expected value is given by

E(X) = Σ xᵢpᵢ

where xᵢ is each amount that could be won

pᵢ is the probability of each amount to be won and it is the same for all the possible winnings = 0.005

So,

E(W) = Σ 0.005 xᵢ

Summing from 0 to 100 (0 indicating getting a tail from the coin toss). This could be done with dome faster with an integral sign

E(W) = ∫ 0.005 x dx

Integrating from 0 to 100

E(W) = [0.005 x²/2]¹⁰⁰₀

E(W) = [0.0025 x²]¹⁰⁰₀ = 0.0025(100² - 0²) = 0.0025 × 10000 = $25

Variance is given by

Variance = Var(X) = Σxᵢ²pᵢ − μ²

μ = expected value

We calculate the expression, Σxᵢ²pᵢ which is another sum from 0 to 100

Σxᵢ²pᵢ = Σ 0.005xᵢ²

Σ 0.005 xᵢ² = ∫ 0.005 x² dx

Integrating from 0 to 100

∫ 0.005 x² dx = [0.005 x³/3]¹⁰⁰₀ = [0.1667x³]¹⁰⁰₀ = 0.1667(100³ - 0³) = 1666.67

Var(W) = 1666.67 - 25² = 1666.67 - 625 = 1041.67.

5 0
3 years ago
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