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2 years ago

Find the area of a rectangle that has a length of 4/5 of a meter and a width of 3/5

Mathematics

1 answer:

Helen [10]2 years ago

6 0

Answer:

Step-by-step explanation:

Givens

L = 4/5 m

w = 3/5 m

Formula

A = L * w

Solution

Area = 4/5 * 3/5

Area = (4 *3 ) / (5 * 5)

Area = 12/ 25 m^2

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Need help GET BRAINLISTS #8

gladu [14]

Answer: 6.7 mm

Step-by-step explanation:

The area of a square is equal to side(side), but is also equal to 1/2(apothem)(perimeter).

The apothem is the perpendicular distance from the center of the square to the midpoint of its side.

We can use these formulas to find the apothem and use the pythagorean theorem to find the hypotenuse (slant height).

Area of square = 9(9) = 81

Area of square = 1/2(apothem)(perimeter)

Perimeter = 4(9) = 36

81 = 1/2(apothem)(36)

162 = apothem(36)

apothem = 4.5

Pythagorean theorem: $a^{2} + b^{2} = c^{2}$

Plug the apothem and the given height into the equation:

$4.5^{2} + 5^{2} = x^{2}$ (x being the slant height)

20.25 + 25 = $x^{2}$

x = $\sqrt{45.25}$

x ≈ 6.7

5 0

3 years ago

What is the solution to the trigonometric inequality 2sin(x)+3>sin ^2(x) over the interval

navik [9.2K]

The intervals that satisfy the given trigonometric Inequality are; 0 ≤ x < 3π/2 and 3π/2 < x ≤ 2π

<h3>How to solve trigonometric inequality?</h3>

We are given the trigonometric Inequality;

2 sin(x) + 3 > sin²(x)

Rearranging gives us;

sin²(x) - 2 sin(x) - 3 < 0

Factorizing this gives us;

(sin(x) - 3)(sin(x) + 1) < 0

Thus;

sin(x) - 3 = 0 or sin(x) + 1 = 0

sin(x) = 3 or sin(x) = -1

sin(x) = 3 is not possible because sin(x) ≤ 1.

Thus, we will work with;

sin(x) = -1 for the interval 0 ≤ x ≤ 2π radians.

Then, x = sin⁻¹(-1)

x = 3π/2.

Now, if we split up the solution domain into two intervals, we have;

from 0 ≤ x < 3π/2, at x = 0. Then;

sin²(0) - 2 sin(0) - 3

= 0² - 0 - 3

= -3 < 0

Thus, the interval 0 ≤ x < 3π/2 is true.

From 3π/2 < x ≤ 2π, take x = 2π. Then;

sin²(2π) - 2 sin(2π) - 3

= 0² - 0 - 3

= -3 < 0

Thus, the interval 3π/2 < x ≤ 2π is also true.

Read more about trigonometric inequality at; brainly.com/question/27862380

#SPJ1

3 0

1 year ago

A group of 15 teenagers owes $75 at a pizza parlor. If they split the bill evenly, how much will each person owe?

Kipish [7]

Answer:

$5 each teenager

Step-by-step explanation:

divide 75 by 15

7 0

1 year ago

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What’s the correct answer for this?

Fantom [35]

Answer:

The capital B refers to the base of the area

Step-by-step explanation:

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2 years ago

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Two freight trucks are traveling to the same destination, and each are traveling at a constant speed. Truck A is 187 miles away

Reptile [31]

Step-by-step explanation:

Uhm, try multiplying the destinations of chuck a B and see what they both start a diet and then where they ended at the end if that makes sense

4 0

2 years ago