When two lines intersect they always form

Mathematics

1 answer:

timama [110]3 years ago

7 0

Correct answer; A right angle

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The point (16, 12) lies on the terminal side of an angle. find cos, tan, and sin

frez [133]

The terminal side means that it's 16 to the right and 12 up. Which means that the triangle made from this has the sides of 16 and 12 and the hypotenuse is 20 units long. Theta, in this case, would have 16 as it's adjacent and 12 as it's opposite.
Therefore, using the Pythagorean identities:
<span> $sin(\theta) = \frac{12}{20} = \boxed{\frac{3}{5}} \\\ cos(\theta) = \frac{16}{20} = \boxed{\frac{4}{5}} \\\ tan(\theta) = \frac{12}{16} = \boxed{\frac{3}{4}}$ </span>

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2 years ago

Does the table represent a proportional relationship

AleksandrR [38]

Answer:no

Step-by-step explanation: No, because all the ratios of y to x are not equal.

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2 years ago

Help please?

Alla [95]

$\bf \begin{array}{clclll}
3^{1001}&\qquad &4^{1002}\\
\uparrow &&\uparrow \\
a&&b
\end{array}\\\\
-----------------------------\\\\
(a+b)^2-(a-b)^2\implies (a^2+2ab+b^2)-(a^2-2ab+b^2)
\\\\\\
a^2+2ab+b^2-a^2+2ab-b^2\implies 2ab+2ab\implies 4ab
\\\\\\
now\qquad 4(3^{1001})(4^{1002})=k12^{1001}\qquad 
\begin{cases}
12^{1001}\\
(4\cdot 3)^{1001}\\
4^{1001}\cdot 3^{1001}
\end{cases}$

$\bf \\\\\\
4(3^{1001})(4^{1002})=k(4^{1001}\cdot 3^{1001})\implies \cfrac{4(3^{1001})(4^{1002})}{4^{1001}\cdot 3^{1001}}=k
\\\\\\
4\cdot \cfrac{3^{1001}}{3^{1001}}\cdot \cfrac{4^{1002}}{4^{1001}}=k\implies 4\cdot 4^{1002}4^{-1001}=k\impliedby 
\begin{array}{llll}
\textit{same base}\\
\textit{add the}\\
exponents
\end{array}
\\\\\\
4\cdot 4^{1002-1001}=k\implies 4\cdot 4^1=k\implies 16=k$

6 0

3 years ago

Can someone answer this please

yanalaym [24]

Answer:

x=7

Step-by-step explanation:

8x-5y=16

8x-40=16

8x=56

x=7

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2 years ago

A pyramid with an equilateral-triangle base has a volume of 483√3 cm 3 and a height of 16 cm. What is the length of each side of

KengaRu [80]

V= 1/3 Area of base times Height
so, 483 (3)^1/2 =1/3 A (16 cm)
1/3(1/2b^2)16cm = 483(3)^1/2
solve for b to get the sides and it is = 17.7 or 18 approximate.

8 0

3 years ago

When two lines intersect they always form​

When two lines intersect they always form