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marta [7]
3 years ago
8

The tree diagram below represents the following scenario:

Mathematics
1 answer:
zaharov [31]3 years ago
5 0

Nooooo way mannnnn whatttttttttttttt

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What is the length of the side labeled x?
Scorpion4ik [409]

Answer:

AB = 42.15 units

Step-by-step explanation:

In triangle ABD,

By applying Cosine rule in this triangle,

cos(30)°= \frac{\text{Adjacent side}}{\text{Hypotenuse}}

\frac{\sqrt{3} }{2} = \frac{AD}{AB}

\frac{\sqrt{3}}{2}=\frac{AD}{47}

AD = \frac{47\sqrt{3}}{2}

By applying tangent rule in ΔACD,

tan(44)° = \frac{\text{Opposite side}}{\text{Adjacent side}}

tan(44)° = \frac{AD}{x}

0.9657 =  \frac{\frac{47\sqrt{3}}{2}}{x}

0.9657 = \frac{47\sqrt{3}}{2x}

x = \frac{47\sqrt{3}}{2(0.9657)}

x = 42.15

  ≈ 42.2 units

4 0
3 years ago
What is the median of 38,10,6, 23,26,38,14,23,20,11,27,33,20,13,14,31?
mixas84 [53]
Hope this helps!!! :)

7 0
3 years ago
Write an expression to represent "8 less than the product of 3 and j"
yarga [219]
(3*j)-8
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3 0
3 years ago
Tomas works as an underwater photographer. He starts at a position that is 13 feet below sea level. He rises 6 feet, then descen
dangina [55]
Think of sea level as 0 on number line

-13 + 6 - 15
6 0
3 years ago
Find the rate of change of total​ revenue, cost, and profit with respect to time. Assume that​ R(x) and​ C(x) are in dollars. ​R
tresset_1 [31]

Answer:

Step-by-step explanation:

Given the Total revenue R(x) = 2x

Cost C(x) = 0.01x²+0.3x+30 where;

x = 30 and dx/dt = 9units per day.

Rate of change of revenue dR/dt = dR/dx • dx/dt

dR/dt = 2dx/dt

dR/dt = 2(9) = $18

Rate of change of revenue with respect to time is 18dollars/day.

Rate of change of cost dC/dt = dC/dx • dx/dt

dC/dt = (0.02x+0.3)dx/dt

dC/dt at x = 30 and dx/dt = 9 will give;

dC/dt = {0.02(30)+0.3}×9

dC/dt = (0.6+0.3) × 9

dC/dt = 0.9×9

dC/dt = $8.1

Rate of change of cost with respect to time is 8.1dollars/day

Profit = Revenue - Cost

Profit = 18-8.1

Daily Profit = $9.9

4 0
3 years ago
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