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2 years ago

The perimeter of a rectangle is 32cm, its length is more than its width by 2 what's the area

Mathematics

1 answer:

White raven [17]2 years ago

3 0

Answer:

63 cm^2

Step-by-step explanation:

p = l + w + l + w

32 = 2l + 2w

32 = 2(w + 2) + 2w

32 = 2w + 4 + 2w

32 = 4w + 4

28 = 4w

7 = w

l = w + 2

l = 7 + 2

l = 9

Check your work:

32 = 9 + 7 + 9 + 7

32 = 32

Correct

A = l × w

A = 9 × 7

A = 63

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Pleaseee help, Solve for x and y :3

irina1246 [14]

Answer:

x = $\sqrt{6}$ , y = 2 $\sqrt{3}$

Step-by-step explanation:

using the tangent ratio and the exact value tan45° = 1 , then

tan45° = $\frac{opposite}{adjacent}$ = $\frac{x}{\sqrt{6} }$ = 1 , then

x = $\sqrt{6}$

----------------------------------

using the cosine ratio in the right triangle and the exact value

cos45° = $\frac{1}{\sqrt{2} }$ , then

cos45° = $\frac{adjacent}{hypotenuse}$ = $\frac{\sqrt{6} }{y}$ = $\frac{1}{\sqrt{2} }$ ( cross- multiply )

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1 year ago

A cosine function has a period of 5, a maximum value of 20, and a minimum value of 0. The function is not a reflection of its pa

Alika [10]

Answer:

A: f(x)=10cos(2π/5 x)+10

Step-by-step explanation:

The coefficient of x in the cosine argument of the function will be 2π/period. Since the period is 5, the coefficient is 2π/5. This observation eliminates choices B and C.

The description "not a reflection of the parent function over the x-axis" means the multiplier of the cosine function is not negative, eliminating choice D.

The remaining choice A matches the description.