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Gelneren [198K]
2 years ago
11

I have some geometry questions today!

Mathematics
1 answer:
vagabundo [1.1K]2 years ago
5 0

Answer:

<h3>Question 7</h3>

<u>Arc LM has length of:</u>

  • LM = 2πr*72/360
  • LM = 2π*1*1/5
  • LM = 2π/5
<h3>Question 8</h3>

<u>Area of the given sector:</u>

  • πr²*θ/360 =
  • x²π*(360 - 75)/360 =
  • x²π(19/24) =
  • 19πx²/24

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An algebraic expression for ​"59 more than the product of 115 and b​" is <br>____
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Answer:

59 > 115b

Hope this helps

3 0
3 years ago
Point Z has the coordinates (−3,5) and is translated left 2 units and down 2 units to create point Z′.
iris [78.8K]

Answer:

(-5, 3)

Step-by-step explanation:

it translated left 2 units => x'= x-2

down 2 units=> y'= y-2

8 0
3 years ago
Can someone help me please
Semenov [28]

Sin E is B. 1.

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6 0
2 years ago
The diagram below shows part of the graph of the quadratic function f(x)=a(x-h)(x-k) with the condition h&lt;k. Point P is the m
Valentin [98]

Answer:

see explanation

Step-by-step explanation:

(a)

The zeros are x = 1 and x = 5, thus the factors are (x - 1) and (x - 5)

f(x) = a(x - 1)(x - 5)

To find a substitute (0, 15), the coordinates of the y- intercept into the equation.

15 = a(0 - 1)(0 - 5) = a(- 1)(- 5) = 5a ( divide both sides by 5)

a = 3

Thus h = 1, k = 5, a = 3 and

f(x) = 3(x - 1)(x - 5)

(b)

The axis of symmetry is a vertical line with equation x = c ( c is a constant )

The axis of symmetry passes through the midpoint of the zeros

x = \frac{1+5}{2} = \frac{6}{2} = 3

Equation of axis of symmetry is x = 3

(c)

The axis of symmetry passes through P, with x- coordinate x = 3

Substitute x = 3 into the function for corresponding value of y

f(3) = 3(3 - 1)(3 - 5) = 3(2)(- 2) = - 12

Coordinates of  P = (3, - 12 )

6 0
3 years ago
Read 2 more answers
? numbers can be written as a product of ? factors. this is called the prime factorization of a number
muminat
The complete sentence should be:

<span><em>Composite</em> numbers can be written as a product of <em>prime</em> factors. This is called the prime factorization of a number.

A prime number is a number that can't be divided by any other number other than 1 or itself. Otherwise, that is a composite number. For example, 50 is a composite number. Through prime factorization,

                  50
                 /   \
               10  5
               /  \
             5  2

The prime factors of composite number 50 are 5, 5 and 2.</span>
5 0
3 years ago
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