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Sveta_85 [38]
2 years ago
7

Which of the following is the algebraic expression that best describes the height y, if x is the width

Mathematics
1 answer:
Inessa05 [86]2 years ago
5 0
Where is the following? please complete the question so i could answer you
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Calcula en cada caso las restantes razones trigonométricas de un angulo agudo si se conoce que:
olchik [2.2K]
A) cos a = (√22)/5; tan a = (√66)/22
B) sin a = (2√2)/3; tan a = 2√2
C) sin a = (√30)/6; cos a = (√6)/6
D) sin a = 3/5; tan a = 3/4
E) sin a = (5√26)/26; cos a = (√26)/26
F) sin a = 3/5; tan a = 3/4

Explanation
The ratio for sine is opposite/hypotenuse.  This means the side opposite the angle is √3 and the hypotenuse is 5.  Using the Pythagorean theorem to find the adjacent side,
(√3)² + A² = 5²
3+A² = 25
A² = 22
A=√22
This means that cos a = adjacent/hypotenuse = (√22)/5 and tan a = opposite/adjacent = (√3)/(√22) = (√66)/22.
B)  The ratio for cosine is adjacent/hypotenuse; this means the side adjacent to the angle is 1 and the hypotenuse is 3.  Using the Pythagorean theorem to find the side opposite the angle (p),
1² + p² = 3²
1+p² = 9
p² = 8
p=√8 = 2√2
This means that sin a = opposite/hypotenuse = (2√2)/3 and tan a = opposite/adjacent = (2√2)/1 = 2√2.
C) The ratio for tangent is opposite/adjacent; this means that the side opposite the angle is √5 and the side adjacent the angle is 1.  Using the Pythagorean theorem to find the hypotenuse,
(√5)²+1² = H²
5+1=H²
6=H²
√6 = H
This means that sin a = opposite/hypotenuse = (√5)/(√6) = (√30)/6 and cos a = adjacent/hypotenuse = 1/(√6) = (√6)/6.
D)  The ratio for cosine is adjacent/hypotenuse; this means that the side adjacent the angle is 4 and the hypotenuse is 5.  Using the Pythagorean theorem to find the side opposite the angle, p:
4²+p²=5²
16+p²=25
p²=9
p=3
This means that sin a = opposite/hypotenuse = 3/5 and tan a = opposite/adjacent = 3/4.
E)  The ratio for tangent is opposite/adjacent;; this means that the side opposite the angle is 5 and the side adjacent the angle is 1.  Using the Pythagorean theorem to find the hypotenuse,
5²+1²=H²
25+1=H²
26=H²
√26 = H
This means that sin a = opposite/hypotenuse = 5/(√26) = (5√26)/26 and cos a = adjacent/hypotenuse = 1/(√26) = √26/26.
F) 0.8 = 8/10; The ratio for cosine is adjacent/hypotenuse.  This means that the side adjacent the angle is 8 and the hypotenuse is 10.  Using the Pythagorean theorem to find the side opposite the angle, p:
8²+p² = 10²
64+p² = 100
p² = 36
p=6
This means that sin a = opposite/hypotenuse = 6/10 = 3/5 and tan a = opposite/adjacent = 6/8 = 3/4.
6 0
3 years ago
Read 2 more answers
Help me please!! I’ve tried many different things and nothing will work
Arte-miy333 [17]
This pic shows the ans

7 0
3 years ago
Helpppppppppppppppppppppppp
nexus9112 [7]

Answer: You divide the top row by itself and you multiply the top by 2 each time.


Step-by-step explanation: Multiply 72 by 2 each time on top and the bottom row just simply add 1.


Sorry if it is wrong but i hope it helps!


8 0
3 years ago
Select the point that is a solution to the system if inequalities yx^2-6
labwork [276]

Answer:

The correct answer is A.

A(0,-2)

Step-by-step explanation:

Method 1

You just have to plot each point on the graph.

The one that falls within the solution region is the correct choice.

From the graph, A(0,-2) falls within the solution region.

See graph

Method 2

If you substitute the points into the inequalities, the only point that will satisfy both inequalities simultaneously is A.

The first inequality is

y\:

If we substitute A(0,-2), we get;

-2\:


-2\:


This statement is true.

The second inequality is

y\:>\:x^2-6

If we substitute A(0,-2), we get;

-2\:>\:(0)^2-6

This gives,

-2\:>\:-6

This statement is also true.



8 0
3 years ago
What is the sum of the polynomials?
lubasha [3.4K]
9x^3 - 8x^2 is the answer. to solve this you must distribute the sign across each parenthetical and then add the like terms (all cubed x variables added to cubed variables and all squared x variables added to squared variable)
6 0
3 years ago
Read 2 more answers
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