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Paha777 [63]
3 years ago
7

Find the value of the length x rounded to 1 DP.

Mathematics
2 answers:
Setler79 [48]3 years ago
8 0
DP-28 Has 51 damage on player
bagirrra123 [75]3 years ago
5 0

Length of x is 98.2 m

<u>Step-by-step explanation:</u>

Step 1:

Use the trigonometric ratio tan 27° to find the common side of both the right angled triangles.

tan 27° = opposite side/adjacent side = opposite side/9

∴ Opposite side = 9 tan 27° = 9 × - 3.27 = -29.46 m

Step 2:

Use this side and trigonometric ratio cosine to find the value of x.

cos 49° = adjacent side/x = -29.46/x

∴ x = -29.46/cos 49° = -29.46/0.30

     = 98.2 m (negative value neglected)

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3 years ago
Suppose the probability of being in honors math is 0.30 and the probability of being in honors math and honors science is 0.20.
kaheart [24]

Answer:

Option C) 0.67

Step-by-step explanation:

We are given the following in the question:

M: Maths honors

S: Science honors

Probability of being in honors math = 0.30

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Probability of being in honors math and honors science = 0.20

P(M\cap S) = 0.20

We have to find the probability of being in honors science if you are in honors math.

We have to evaluate:

P(S|M) = \dfrac{P(M\cap S)}{P(M)} = \dfrac{0.20}{0.30} = 0.67

Thus, 0.67 is the probability of being in honors science if you are in honors math.

Thus, the correct answer is

Option C) 0.67

4 0
3 years ago
Kamau bought 50 kg of sugar for sh 4000
Nana76 [90]

Answer:

Profit % =50%

Step-by-step explanation:

Cost of 50 kg = sh 4000

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Selling price of 50 kg = sh 6000

profit \% = \frac{Selling \ price - cost \ price}{cost \ price} \times 100\\

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Leah has three fewer than 4 times as many DVDs as Sonia has. Leah has 37 DVDs how many DVDs does sonia have
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