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2 years ago

Find the area of the composite figure

Mathematics

1 answer:

Alina [70]2 years ago

7 0

Answer:

Area of the triangle = 31.25 yd²

Area of rectangle A = 50 yd²

Area of rectangle B = 48.75

Total Area of composite = 130 yd²

Step-by-step explanation:

✔️Area of the triangle = ½*b*h

b = 10 yd

h = 6.25 yd

Area of the triangle = ½*10*6.25 = 31.25 yd²

✔️Area of rectangle A = L*W

L = 10 yd

W = 7.5 - 2.5 = 5yd

Area of rectangle A = 10*5 = 50 yd²

✔️Area of rectangle B = L*W

L = 7.5 yd

W = 6.5 yd

Area of rectangle B = 7.5*6.5 = 48.75 yd²

✔️Total Area of Composite = 31.25 + 50 + 48.75 = 130 yd²

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The distance between itahari and Damak is

Ludmilka [50]

Answer:

8 km by motorbike.

Step-by-step explanation:

The distance between itahari and Damak is 42 km.

Mr. Dhamala travelled 18.325 km by a bus / 15.675 km by a taxi and the remaining distance by a motorbike.

Let he covered x distance by motorbike. So,

Remaining distance = Total distance -(distance covered by bus + distance by taxi)

= 42 -(18.325 +15.675 )

= 42-34

= 8 km

So, he travelled 8 km by motorbike.

8 0

2 years ago

to construct a parallel to a line through a point not on the line using paper folding, you can perform the _____ construction tw

adoni [48]

The correct answer is:

The midpoint of a segment.

Explanation:

To construct a line parallel to another line through a given point, the first thing you do is fold the given line onto itself, making sure that the given point is on the fold. This is the same construction used to find the midpoint of a segment.

Unfold the paper, and the crease made with the fold creates a line through the given point and given line. Fold this new line (crease) onto itself, making sure the given point is in the fold. This is again the same construction used to find the midpoint of a segment, and this creates our parallel line through our given point.

6 0

3 years ago

Read 2 more answers

What is the average rate of change of f over the interval -7 < or equal to x Give an exact number

Annette [7]

Answer:

$\frac{4}{3}$

Step-by-step explanation:

The average rate of change can be found by using the following formula

$\frac{f(x_{2}) - f(x_{1}) }{x_{2} - x_{1}}$

Since the interval goes from -7 to 2, we should find the y-values that correspond to x=-7 and x=2.

By inspection of the graph, we can clearly see that when x is -7, y is -7 as well and when x is 2, y is 5.

Now that we know this, we can simply plug these values into the formula!

$\frac{f(2) - f(-7) }{2 - (-7)} = \frac{5 - (-7)}{2 - (-7)} = \frac{5 +7}{2+7} = \frac{12}{9} = \frac{4}{3}$

Good luck!

3 0

2 years ago

What is 43.043 in expanded form

nordsb [41]

40+3+.04+.003

expanded form is showing what you have to add together

3 0

3 years ago

Zach wants to build a slanted skateboard ramp. He knows he wants the ramp to form a 15 degrees angle with the ground and be 4 fe

Fynjy0 [20]

Answer: The ramp would be 15.5 feet long.

Step-by-step explanation: Please refer to the attached diagram for details.

Angle C shows the angle to be formed by the ramp from the ground, which is 15 degrees. Also, from the ground, it’s going to be four feet tall, which is line AB. The top of the ramp is point A, which makes line AC the entire length of the ramp. Since we have a reference angle (angle C) and two sides, the opposite and the hypotenuse, we shall apply the trigonometric ratio.

SinC = opposite/hypotenuse

Sin 15 = 4/b

By cross multiplication we now have

b = 4/Sin15

b = 4/0.2588

b = 15.4599

Approximately b = 15.5

Therefore the length of the ramp would be 15.5 feet

6 0

3 years ago