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OLEGan [10]
3 years ago
13

Determine the area of the shaded triangle below. Explain your reasoning

Mathematics
1 answer:
lora16 [44]3 years ago
7 0

Answer:

A = 35 units

Step-by-step explanation:

The variable "b" represents the length of the triangle's base and "h" represents the highest height of the triangle. The area of a triangle can be determined using the formula:

A = 0.5bh

The area of the top triangle (including the isosceles triangle and the orange triangle) is:

A = 0.5 x (14 units) x (3 units + 5 units)

A = 56 units

The area of the isosceles triangle is:

A = 0.5 x (14 units) x (3 units)

A = 21 units

Thus, the area of the orange triangle is the area of both triangles minus the area of the isosceles triangle.

A = 56 units - 21 units

A = 35 units

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Answer: -15yx^2

Step-by-step explanation:

-12x^2 * y -3x^2 * y=

-12(x^2 * y)-3(x^2 * y)=

(-12-3)(x^2 * y)=

-15x^2 * y=-15yx^2

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Ede4ka [16]

Answer:

c

Step-by-step explanation:

quadratic formula:  -b±√b²-4ac/ 2a

a= -10

b= 12

c= -9

-12±√144- 4(-10)(-9)/ 2(-10)

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3 years ago
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Answer:

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8            16,000

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Step-by-step explanation:

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scZoUnD [109]

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4 years ago
Ahmad travelled 1/4 of a journey by Train X, 3/4 of the remainder by Train Y and the remaining 10km by Train Z. a) How far did A
sveta [45]

Hey there! I'm happy to help!

Train X takes out 1/4 of our journey.

Now, we have 3/4 of the journey left.

Train Y takes 3/4 of the last 3/4 of the journey. How much is that, let's just multiply the fractions!

3/4*3/4= 9/16

So, 9/16 of the total journey is done by Train Y.

A fourth of 16/16 is 4/16, so that leaves us with 3/16 left to go.

So, 3/16 of our total distance is equal to 10 km. Let's call our total distance d and set this up as an equation.

3/16d=10

Divide both sides by 3/16.

d= 53 1/3

We also remember that Train Y gave us 9/16 of our total journey, so we can multiply this by our total distance to see how far train Y went.

53 1/3 * 9/16= 30

So, A. Ahmad traveled 30 miles by Train Y and B. his total distance traveled is 53 1/3 miles.

Have a wonderful day and keep on learning! :D

5 0
3 years ago
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