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klasskru [66]
3 years ago
9

The area of a triangle is 195 square centimeters. The length of the base is 26 centimeters. What is the height of the triangle?

7.5 centimeters 15 centimeters 52 centimeters 84.5 centimeters
Mathematics
1 answer:
Natali5045456 [20]3 years ago
7 0
To find the area of a triangle uses the equation base*height/2. For this equation, we have 26 * h/2 = 195. This means that 26 * h = 195 * 2.
26 * 15 = 390, so your answer is 15 cm.
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The inequality which represents the missing dimension x is x≥1.6 or x≥8 / 5.

Given that the area is greater than or equal to 8 square feet and image is attached below.

We want to find the missing inequality x in the form of inequality.

The figure is assumed to be a right triangle with Root = x and perpendicular = 10ft.

As we know the area of ​​a triangle is half the product of the base and the height.

First of all, we will find the area of ​​the triangle by substituting the given values ​​we get

Area=(1/2)×Base×height

Area=(1/2)×x×10

Area=5x      ......(1)

Assume that this area is greater than or equal to 8 square feet.

That means Area≥8ft²      ......(2)

Now we will balance equation (1) and equation (2), we get

5x≥8ft²

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(5x)/5≥8/5

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Therefore, the inequality represents the missing size x when the area is larger or equal to 8 square feet is x ≥1.6ft².

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2 years ago
Find the area of the shaded region round to the nearest tenth
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Using the formula A=\frac{1}{2} ab \sin C, we get the area of the triangle is \frac{1}{2}(27.8)(27.8)(\sin 150^{\circ}).

So, the area of the shaded sector is (\pi)(27.8^{2})\left(\frac{150}{360} \right)-\frac{1}{2}(27.8)(27.8)(\sin 150^{\circ}) \approx \boxed{818.4}

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