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Darya [45]
2 years ago
10

Can someone please help me solve these 4

Mathematics
1 answer:
choli [55]2 years ago
5 0

Answer:

find the area and then multiply

Step-by-step explanation:

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Compare square root of one hundred eighty and one hundred two eighths using <, >, or =.
olga2289 [7]

Converting the mixed number to a decimal, the correct comparison of the numbers is given as follows:

\sqrt{180} > \sqrt{100 \frac{2}{8}}

<h3>What is a mixed number?</h3>

A mixed number is represented by an integer part and a fractional part, as follows:

a b/c.

In which:

  • a is the integer part.
  • b/c is the fractional part.

In this problem, the numbers are given as follows:

\sqrt{180}, \sqrt{100 \frac{2}{8}}

The mixed number is:

100 and 2/8 = 100 + 0.25 = 100.25.

The square root is an increasing function, hence the higher the input, the higher the square root, as 180 > 100 the comparison is:

\sqrt{180} > \sqrt{100 \frac{2}{8}}

More can be learned about mixed numbers at brainly.com/question/1746829

#SPJ1

6 0
2 years ago
The lengths of the legs of a right triangle are consecutive even integers. The hypotenuse is 58 inches. What is the sum of the l
miskamm [114]

Answer:

82 inches

Step-by-step explanation:

The difference between consecutive even integers is 2, thus

let the legs be n and n + 2

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

n² + (n + 2)² = 58² ← expand and simplify left side

n² + n² + 4n + 4 = 3364 ( subtract 3364 from both sides )

2n² + 4n - 3360 = 0 ( divide all terms by 2 )

n² + 2n - 1680 = 0 ← in standard form

(n + 42)(n - 40) = 0 ← in factored form

Equate each factor to zero and solve for n

n + 42 = 0 ⇒ n = - 42

n - 40 = 0 ⇒ n = 40

But n > 0 ⇒ n = 40

and n + 2 = 40 + 2 = 42

Thus sum of legs = 40 + 42 = 82 inches

3 0
3 years ago
Which number belongs to the solution set of the equation below?
ollegr [7]
The correct answer would be: C. 44
Explanation: If you're trying to find out x's value, you have to do the inverse operation which means if it's subtraction, you add. So to find x's value, you'd add 36 + 8 = x. And 36 + 8 = 44. So therefore, x = 44. That means the answer is C.
5 0
3 years ago
Okay so this is for my math homework that I wasn't able to do earlier.
WITCHER [35]

What is the question?????

4 0
3 years ago
A sector with a central angle measure of 200 degrees has a radius of 9cm
Helen [10]

Answer:

B) 45\pi cm^{2}

Step-by-step explanation:

A=\frac{\pi r^{2}(central. Angle) }{360} =\frac{\pi (9)^{2}(200) }{360} =\frac{\pi (81)(200)}{360}=45\pi cm^{2}

Hope this helps

3 0
2 years ago
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