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Mice21 [21]
3 years ago
8

There is a six sided polygon in which the first side is a line, the second side is a line segment, the third side is an arrow wh

ose head is in the direction of the point of intersection of second side, the fourth side is a line, the fifth side is a line segment and the last side is an arrow whose head is in the direction of the point of intersection of fifth side. The exterior angle formed by the first and sixth side is labeled as 1, the exterior angle formed by first and second side is labeled as 2, the exterior angle formed by second and third side is labeled as 3, the exterior angle formed by third and fourth side is labeled as 4, the exterior angle formed by the fourth and fifth side is labeled as 5, and the exterior angle formed by the fifth and sixth side is labeled as 6. The interior angle of fifth and sixth side is a right angle.
If ∠1 ≅ ∠2 ≅ ∠3, ∠4 ≅ ∠5, and m∠4 = m∠3 + 10°, What is m∠5?
Mathematics
1 answer:
Phantasy [73]3 years ago
6 0
I need points Thanks
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Find the slope of ( 3,7 ) ( 4,10 )
Dominik [7]
The slope is 3.

10 - 7 = 3
4 - 3 = 1

Final step is to do 3 divided by 1 and you get 3.
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3 years ago
Benjamin bought 12 goldfish. Each goldfish cost $0.98. How much did Benjamin spend
jeka57 [31]
If each goldfish cost $0.98 simply multiply this by the amount of fish bought:

(0.98)(12)
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3 years ago
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Select the correct answer. A new building in the shape of a square pyramid is to be constructed. The slant height will be five t
marysya [2.9K]

From the information given about the square pyramid, the maximum base length of the building is 67.42 cm.

<h3>How do you determine the maximum side length?</h3>

We are given the following  details  are:

Base = b

Slant height (l) = 5b

The lateral surface area is calculated using:

L = 2bl

So, we have:

L = 2 * b * 5b

Evaluate the product

L = 10b²

The total surface area is calculated using:

T = L + b²

So, we have:

T = 10b² + b²

Evaluate the sum

T = 11b²

Recall that the maximum surface area is 50,000 square feet

So, we have:

11b² = 50000

Divide both sides by 11

b² = 50000/11

Taking the square root of both sides, we have

b = 67.42

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Learn more about square pyramids at:

brainly.com/question/12146629

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8 0
2 years ago
Use Laplace transform methods to solve the differential equation: The initial conditions are f(0) = 0 and <img src="https://tex.
Llana [10]

Answer:

Step-by-step explanation:

\frac{d^2 y}{dt^2} +12\frac{dy}{dt} +32y = 10e^{-2t} where f(x) is replaced by y

Take Laplace on both sides

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Let this equals

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Solving we get

s=-9

24C = 10 or C =5/12

s=-2:  A=10/12=5/6

s=-4: B = -5/4

Taking inverse Laplace

y(t) = \frac{-5e^{-4t} }{4} + \frac{5e^{-8t} }{12} +\frac{-5e^{-2t} }{6}

6 0
3 years ago
James has $32 and earns $10 per week for his allowance
Leno4ka [110]
The initial value is how much he starts out with, and it says he has $32
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