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puteri [66]
3 years ago
14

Explain why sin(90)=1

Mathematics
1 answer:
DENIUS [597]3 years ago
4 0
<em>In a right triangle, sin=</em><u><em /></u><em />\frac{opposite  segment}{hypotenuse}
<em>Because the "opposite segment " is actually the hypotenuse of the triangle we get the fraction</em> \frac{hypotenuse}{hypotenuse} <em>which is <u>1.</u></em>
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Please walk me through how to do this so I can di the other questions​
Naddik [55]

Answer:

Axis is a vertical line at x = 2

Vertex is (2, -1)

y-intercept is (0, 3)

Solutions are x = 1 and x = 3

Step-by-step explanation:

To draw the graph of the quadratic equation you must find at least 5 points lie on the graph by choose values of x and find their values of y

Let us do that

Use x = -1, 0, 1, 2, 3, 4, 5

∵ y = x² - 4x + 3

∵ x = -1

∴ y = (-1)² - 4(-1) + 3 = 1 + 4 + 3 = 8

→ Plot point (-1, 8)

∵ x = 0

∴ y = (0)² - 4(0) + 3 = 0 + 0 + 3 = 3

→ Plot point (0, 3)

∵ x = 1

∴ y = (1)² - 4(1) + 3 = 1 - 4 + 3 = 0

→ Plot point (1, 0)

∵ x = 2

∴ y = (2)² - 4(2) + 3 = 4 - 8 + 3 = -1

→ Plot point (2, -1)

∵ x = 3

∴ y = (3)² - 4(3) + 3 = 9 - 12 + 3 = 0

→ Plot point (3, 0)

∵ x = 4

∴ y = (4)² - 4(4) + 3 = 16 - 16 + 3 = 3

→ Plot point (4, 3)

∵ x = 5

∴ y = (5)² - 4(5) + 3 = 25 - 20 + 3 = 8

→ Plot point (5, 8)

→ Join all the points to form the parabola

From the graph

∵ The axis of symmetry is the vertical line passes through the vertex point

∵ x-coordinate of the vertex point is 2

∴ Axis is a vertical line at x = 2

∵ The coordinates of the vertex point of the parabola are (2, -1)

∴ Vertex is (2, -1)

∵ The parabola intersects the y-axis at point (0, 3)

∴ y-intercept is (0, 3)

∵ x² - 4x + 3 = 0

∵ The solutions of the equation are the values of x at y = 0

→ That means the intersection points of the parabola and the x-axis

∵ The parabola intersects the x-axis at points (1, 0) and (3, 0)

∴ Solutions are x = 1 and x = 3

3 0
3 years ago
Which solution contains the correct number of significant digits for the product 2.80 mm · 0.1 mm.
BigorU [14]
2 significant digits should be represented in the product
8 0
3 years ago
What is 1/10 of 1000 what is 1% out of 100
Ulleksa [173]
To get 1/10 ->  1000/10 =100
and 1% of 100 -> 100/100 = 1 or 1%

100 for question 1
1 for q2

3 0
3 years ago
Why is circle 1 similar to circle 2
Kobotan [32]

Your answer is letter A.

Hope this helps :)

8 0
3 years ago
Read 2 more answers
A bag contains 3 red, 6 blue, 5 purple, and 2 orange marbles. One marble is selected at random. What is the probability that the
mamaluj [8]

Answer:

P(blue)=37.5\%

Step-by-step explanation:

-Probability is the likelihood of an event occurring.

-The total number of events is:

Total=3+6+5+2\\\\=16

-The total number of blue events is:

Blue=6

#Probability of a blue is thus calculated as:

P(Blue)=\frac{Blue}{Total}\\\\=\frac{6}{16}\\\\=0.375\\\\=37.5\%

Hence, the probability of choosing a blue marble at random is 37.5%

6 0
3 years ago
Read 2 more answers
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