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guapka [62]
3 years ago
6

A park maintenance person stands 16m from a circular monument. Assume that her lines of sight form tangents to the monument and

make an angle of 56 degrees. What is the measure of the arc of the monument that her lines of sight intersect?
Mathematics
1 answer:
Rufina [12.5K]3 years ago
7 0

Answer:

Step-by-step explanation:

The arc subtends a central angle of 124°

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Find the slop of each line!
Whitepunk [10]

Answer: Found it

Step-by-step explanation:

4 0
3 years ago
Elena is bicycling 9.28 miles to her friend's house. She has already bicycled 3.39 miles. She needs to bicycle m more miles to r
Gnoma [55]

Answer:

m = 5.89

Step-by-step explanation:

hope this helpes~

3 0
3 years ago
If 5^n x 5^3 = 5^6, then n is _____.<br><br> A) 18<br> B) 2<br> C) 3<br> D) 9
Eddi Din [679]
<h3>Answer:  C) 3</h3>

The rule we'll use is a^b*a^c = a^(b+c). So we add the exponents.

That means 5^n*5^3 = 5^(n+3)

So 5^n*5^3 = 5^6 turns into 5^(n+3) = 5^6

The bases are equal to 5, so the exponents be equal to one another.

n+3 = 6

n+3-3 = 6-3

n = 3

So 5^3*5^3 = 5^(3+3) = 5^6.

6 0
3 years ago
Read 2 more answers
One root of the equation x^2+6x+q=0 is twice the other root. Find q and the roots.
ella [17]

Answer:

q = 8

x₁ = -2, x₂ = -4

Step-by-step explanation:

For a quadratic equation ax² + bx + c, the sum of the roots is -b/a, and the product of the roots is c/a.

If the roots are x₁ and x₂, then:

-6/1 = x₁ + x₂

q/1 = x₁ x₂

Since we know one root is double the other, we can say x₂ = 2x₁.  Plugging into the first equation and solving:

-6 = x₁ + 2x₁

-6 = 3x₁

x₁ = -2

Which means x₂ = -4.  So the value of q must be:

q/1 = (-2) (-4)

q = 8

4 0
3 years ago
what properties were used to write the numeric statement (18 - 5) + (432 x 15) = (15 x 432) + (18 - 5)
olga55 [171]

Answer:

The properties that have been used are the;

commutative property of addition

commutative property of multiplication

Step-by-step explanation:

The commutative property of addition can be stated algebraically as follows;

a + b = b + a

where a and b are any real numbers

On the other hand, the commutative property of multiplication can be stated algebraically as follows;

a * b = b * a

where a and b are any real numbers

If we let 18 - 5 = a, 432 = m and 15 = n, then we have;

a + (m * n)

Using the commutative property of addition, the expression can be written as;

(m * n) + a

Using the commutative property of multiplication, the term in brackets can be written as;

(m * n) = (n * m)

Combining the two properties we find that;

a + (m * n) = (m * n) + a = (n * m) + a

Therefore, (18 - 5) + (432 x 15) = (15 x 432) + (18 - 5)

7 0
4 years ago
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