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2 years ago

Find the exact area of the shaded region.

Mathematics

1 answer:

kherson [118]2 years ago

3 0

Answer:

Step-by-step explanation:

area of large triangle = 117

117-(30)-(12*5/2)-(8*6/2)

= 33

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The end of a house has the shape of a square surmounted by an equilateral triangle. If the length of the base is measured to be

sergij07 [2.7K]

Answer:

The area of the end is 1755.44 ft²

Therefore, the maximum error in calculating area of the end is 8.3592

Step-by-step explanation:

Consider the provided information.

The length of the base is measured to be 35 feet, with a maximum error in measurement of 1 inch,

$1\ inch = \frac{1}{12}\ feet$

The area of shape = Area of square + Area of equilateral triangle

$A=x^2+\frac{\sqrt{3}}{4}x^2$

Substitute x=35 in above.

$A=(35)^2+\frac{\sqrt{3}}{2}\times (35)^2=1755.44$

Hence, the area of the end is 1755.44 ft²

Differentiate $A=x^2(1+\frac{\sqrt{3}}{4})$ with respect to x as shown:

$dA=2x\ dx(1+\frac{\sqrt{3}}{4})$

Substitute dx =1/12 and x=35

$dA=2(35)\ \frac{1}{12}(1+\frac{\sqrt{3}}{4})=8.3592$

Therefore, the maximum error in calculating area of the end is 8.3592

6 0

3 years ago

Which of the triangles shown are scalene triangles?

sergij07 [2.7K]

The triangle that shows a scalene triangle is: D. a triangle where all the sides on it are different lengths.

<h3>What is a Scalene Triangle?</h3>

A scalene triangle is a triangle whose three angles are unequal and also has three unequal sides.

This means that any two sides or two angles of a scalene triangle must not be equal.

Thus, the triangle that shows a scalene triangle is: D. a triangle where all the sides on it are different lengths.

Learn more about scalene triangle on:

brainly.com/question/16589630

3 0

2 years ago

Mr. Baker is driving 100 miles. His average speed, to the nearest 2 miles per hour, is 56 miles per hour. What is the range of p

Alexus [3.1K]

Answer:

1.72 ≤ t ≤ 1.85

Step-by-step explanation:

Given :

Distance = 100 miles ;

Speed = 56 miles per hour, to the nearest 2 miles per hour

Hence, the speed range is :

(56 - 2) mph ; (56 + 2) mph

Range of possible Time taken, t :

Distance / speed ;

100 / 58 ≤ t ≤ 100 / 54

1.72 ≤ t ≤ 1.85

6 0

3 years ago

Xander spends most of his time with his 10 closest friends. He has known 4 of his 10 friends since kindergarten. If he is going

Tju [1.3M]

Answer:

Step-by-step explanation:

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3 years ago

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What is the volume?<br> 7 mm<br> 7 mm<br> 1 mm

aalyn [17]

Answer:

(7)(7)(1)=49 mm^3

Step-by-step explanation:

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3 years ago

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