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lutik1710 [3]
3 years ago
13

What is m∠8 if m∠4 = 50°?

Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
6 0

Answer:

D) 50°. You got parallel lines cut by a traversal, so angles 4 and 8 are congruent because they're corresponding angles.

Step-by-step explanation:

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Cos(0)=square root 3/3, sin 0<0. what is the value of sin0​
abruzzese [7]

Answer:

sin θ = \frac{\sqrt{6} }{3}

Step-by-step explanation:

Given that,

cos θ = \frac{\sqrt{3} }{3}

From the trigonometric functions,

cos θ = \frac{adjacent}{hypotenus}

⇒ adjacent = \sqrt{3}, and the hypotenuse = 3

Let the opposite side be represented by x, applying the Pythagoras theorem we have;

/hyp/^{2} = /adj/^{2} + /opp/^{2}

/3/^{2} = (\sqrt{3} )^{2} + x^{2}

9 = 3 + x^{2}

x^{2} = 9 - 3

   = 6

x = \sqrt{6}

Thus, opposite side = \sqrt{6}

So that,

sin θ = \frac{opposite}{hypotenuse}

        = \frac{\sqrt{6} }{3}

Therefore,

sin θ = \frac{\sqrt{6} }{3}

6 0
3 years ago
An experienced landscaper can landscape garden with an area of 60sq.m thrice as fast as an apprentice. Working together, it take
Genrish500 [490]

Answer:

It will take the apprentice 24 days working alone

Step-by-step explanation:

Let the number of days it takes the apprentice be x

It will take the landscaper x/3 ( since he is three times faster)

The rate for both will be 60/6 = 10 sq m per day

Rate for apprentice is 60/x

rate for the boss is 60/x/3 = 180/x

Adding the rates together;

60/x + 180/x = 10

240/x = 10

240 = 10x

x = 240/10

x = 24 days

7 0
3 years ago
What is the oblique asymptote of the function f(x) = the quantity of x squared plus x minus 2, all over x plus 1
Korvikt [17]
Hello,

y=ax+b is the asymptote
with
$a=  \lim_{n \to \infty}  \frac{f(x)}{x}=\lim_{n \to \infty}  \dfrac{x^2+x-2}{x^2+x}=1\\\\

$b= \lim_{n \to \infty} f(x)-ax= \lim_{n \to \infty} \frac{x^2+x-2}{x+1}-x= \lim_{n \to \infty} \frac{-2}{x+1}=0  $

7 0
3 years ago
a napkin has an area of 5 square inch . what is the side length of the napkin to the nearest hundredth of an inch?
mart [117]
The side length is 2.24 inches.

The area of a square is given by s²; we have
s² = 5

To find the value of s, we take the square root of each side:
√s² = √5
s = √5 = 2.236 ≈ 2.24
4 0
3 years ago
Write a sequence of rhe transformations that maps quadrilateral ABCD onto quadrilateral A"B"C"D" in the picture below??​
MariettaO [177]

Answer:

It is a reflection of the y axis, with 2 units down. :)

Step-by-step explanation:

5 0
3 years ago
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