Answer:
2 ( k + ( 2k +4)) = 50 cm is the required equation.
Width of rectangle = 7 cm, Length of rectangle = 18 cm
Step-by-step explanation:
The perimeter of the rectangle = 50 cm
Le the width of the rectangle = k cm
⇒The length of the rectangle = (2k + 4) cm
Now, PERIMETER OF THE RECTANGLE = 2( LENGTH WIDTH)
⇒ 2 ( k + ( 2k +4)) = 50 cm
or, 2( 3k+ 4) = 50
⇒ 6k + 8 = 50
or, 6k = 50 - 8 = 42
or, k = 42/6 = 7
⇒ k = 7 cm
Hence, the width of the rectangle = k = 7 cm
and the length of the rectangle = (2k +4) = 2(7) + 4 = 18 cm
Using relations in a right triangle, it is found that:
sin(x) = cos(y) = 0.6.
Since angles x and y are complementary, we have that sin(x) = cos(y), that is, the ratio is of 1.
<h3>What are the relations in a right triangle?</h3>
The relations in a right triangle are given as follows:
- The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
- The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
- The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.
Applying the Pythagorean Theorem, the hypotenuse is given by:
h² = 3² + 4²
h² = 25
h = 25.
Hence, applying the definitions:
Since angles x and y are complementary, we have that sin(x) = cos(y), that is, the ratio is of 1.
More can be learned about relations in a right triangle at brainly.com/question/26396675
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Answer:
4. (-2 1/2, 4 1/2)
Step-by-step explanation:
Midpoint Formula is (x1+x2)/2, (y1+y2)/2
So (-6+1)/2 , (1+8)/2 = (5)/2, (9)/2 = (2.5,4.5)
And that in fraction form is (-2 1/2, 4 1/2)
<span> -63 + (-208) + (-11) = -63 - 208 - 11 = -282
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Answer: -282
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They are similar! since they have two equal angles!