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3 years ago

5

A small aircraft can carry 900 pounds of baggage, distributed between two storage compartments. On one flight, the plane is full

y loaded, with 400 pounds more baggage in one compartment than the other. How much is stowed in each compartment?

1 answer:

victus00 [196]3 years ago

5 0

Answer:

one has 800 and the other one has 100

Step-by-step explanation:

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The Hudson high school wrestling team just won the state tournament and have been awarded a triangular pennant to hang on the wa

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Answer:

3 feet.

Step-by-step explanation:

Base of the triangular pennant = 1.5 feet long.
Area of the triangular pennant = 2.25 Square feet.

Now, we know that:

Area of a Triangle $=\frac{1}{2}$ X Base X Height$

Substituting the given values, we have:

$2.25=\dfrac{1}{2}$ X 1.5 X Height\\\\2.25=$\dfrac{1.5}{2}$ X Height\\\\Cross multiply\\\\2.25*2=1.5 X Height\\\\Divide both sides by 1.5 to solve for the height\\\\\dfrac{2.25*2}{1.5}=\dfrac{1.5 X Height}{1.5}\\\\$Height of the Triangle =3 feet$

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3 years ago

Identify the missing measure

Goshia [24]

Answer:

103.5°

Step-by-step explanation:

Let "x" represent the missing angle.

Vertex formed = ½(the sum of the intercepted arcs) based on the intersecting chords theorem.

Therefore:

m<x = ½(195 + 12)

m<x = ½(207)

m<x = 103.5

MIssing angle is therefore 103.5°

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3 years ago

What is the equation in slope intercept form (y=Mx+b) of the line that passes through the point (7, -3) and has a slope of -5?

Mashutka [201]

<h3>Answer: y = -5x+32</h3>

=========================================

Work Shown:

You can use point slope form by plugging in m = -5 and $(x_1, y_1) = (7,-3)$

So,

$y - y_1 = m(x - x_1)\\\\y - (-3) = -5(x - 7)\\\\y + 3 = -5(x - 7)\\\\y + 3 = -5x + 35\\\\y + 3-3 = -5x + 35-3 \text{ subtract 3 from both sides} \\\\y = -5x + 32\\$

---------------

Or you could use y = mx+b to solve for the value of b

Plug in m = -5, and (x,y) = (7,-3)

$y = mx+b\\\\-3 = (-5)(7)+b\\\\-3 = -35+b\\\\-3+35 = -35+b+35\\\\32 = b\\\\b = 32\\\\$

Since m = -5 and b = 32, we know that y = -5x+32 is the equation of the line.

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3 years ago