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3 years ago

Find the area of the shaded region. Attached below

Mathematics

2 answers:

bonufazy [111]3 years ago

5 0

Answer:16.56 cm

Step-by-step explanation:

5.8*1.2=6.96

6.4*.8=5.12

1.2+.8=2

5.6-2-3.6

5.6*.8=4.48

4.48+5.12+6.96=16.56

AlexFokin [52]3 years ago

4 0

Answer:

14.96 cm

Step-by-step explanation:

The shaded region is the difference between the area of the enclosing rectangle (5.6 cm × 6.4 cm) and the smaller one taken out (3.6 cm × 5.8 cm).

The area of each is the product of its length and width, so we have ...

... shaded area = (5.6 cm)(6.4 cm) -(3.6 cm)(5.8 cm)

... = 35.84 cm² - 20.88 cm² = 14.96 cm²

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Ivenika [448]

Maximum area of the rectangle is $9cm^{2}$

Explanation:

Considering the dimensions to be in cm

$f(x) = -(x-3)^{2} +9\\f(x) = -(x^{2} +9 - 6x)+9\\f(x) = -x^{2} +6x\\f'(x) = -2x+6\\-2x+6 = 0\\2x=6\\x=3cm\\\\$

Putting the value of x = 3

$Perimeter = 2(x+b)\\12 = 2(3+b)\\6 = 3+b\\b= 3cm$

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3 years ago

In triangle STU, u2 = s2 + t2. Triangle STU has sides s, t, u opposite to the corresponding vertices S, T, U Which equation is t

wlad13 [49]

Answer:
The measure of angle SUT is equal to 90 degrees

Explanation:
The Pythagorean theorem states that:
"In any right-angled triangle, the square of the hypotenuse is equal to the sum of squares of the other two sides"
In other words:
(hypotenuse)² = (first side)² + (second side)²

Now, for the given, we have:
u² = s² + t²
This means that the given triangle UST is a right-angled triangle and that side "u" is its hypotenuse.

According to the given, the angle opposite to side "u" is angle U. This means that angle U is the right-angle in this triangle.

Based on the above:
angle U = 90°
angle S + angle T = 180 - 90 = 90°

Now, comparing our deductions to the given choices, we can conclude that the correct choice is:
The measure of angle SUT is equal to 90 degrees

Hope this helps :)

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