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4 years ago

Complete this table showing the number of shaded triangles in each step and area of each triangle!

Mathematics

1 answer:

djverab [1.8K]4 years ago

5 0

Answer:

Step-by-step explanation:

From the table attached we find,

Number of shaded triangles = 1

Area of each shaded triangle = 256 square inches

Now we can complete the table following the same pattern,

Step number Number of shaded triangles Area of the shaded triangles

0 1 256

1 3 256 × 3 = 768

2 5 256 × 5 = 1280

3 7 256 × 7 = 1792

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For which value of theta is sine theta = negative 1?

Ivan

Answer:

1) 270 degrees

2) pi/4 rad

Step-by-step explanation:

1.) For which value of theta is sine theta = negative 1?

Given

sintheta = -1

theta = arcsin(-1)

theta = -90degrees

Since sin is negative in the third and 4th quadrant

In the third quadrant, theta = 180 + 90 = 270degrees

In the fourth quadrant, theta = 360 - 90 = 270 degrees

Hence the required value of theta is 270degrees

2) Given the radius of the circle to be 1, the y axis value will also be 1 units

Opposite = 1

adjacent = 1

hyp = √1²+1²

hyp = √2

sin theta = opp/hyp

sin theta = 1/√2

theta = arccsin(1/√2)

theta = 45 degrees

Express in radians

45 degrees = pi/4 radians

Hence the required angle in the first quadrant is pi/4 rad

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Answer:

1/4

Step-by-step explanation:

Probability = 3/(5+3+4)

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3 years ago

Divide 7.67 by 0.26 what would it be plz answer this I need help

lisabon 2012 [21]

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4 years ago

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If r is an integer greater than 1, what is the value of (−1)r +1 if:

elena-s [515]

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a is 0, b is 2

Step-by-step explanation:

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3 years ago

Geometry only answer if you know

nalin [4]

<h2><u>My complete work</u> :</h2>

Given :

∠F = ∠J
∠D = ∠H
∠E = ∠I

Sum of all angles in a triangle = 180°

Which means :

41 + 20 + 15x - 1 = 180

$= \tt61 + 15x - 1 = 180$

$=\tt 61 - 1 + 15x = 180$

$=\tt 60 + 15x = 180$

$= \tt15x = 180 - 60$

$=\tt 15x = 120$

$= \tt \: x = \frac{120}{15}$

$=\tt x = 18$

Thus, the value of x = 18

Measure of angle 15x-1 :

$= \tt15 \times 8 - 1$

$=\tt120 - 1$

$=\tt 119$

Thus, the measure of angle 15x-1 = 119°

Let us place 8 in the place of x to see if we have found out the correct measure of the angles :

$= \tt40 + 21 + 119 = 180$

$= \tt61 + 119 = 180$

$=\tt 180 = 180$

Since the measures of all the angle sum up to form 180°, we can conclude that we have found out the correct measure of each of the angles.

Therefore, the value of x = 8

<h2><u>My answer</u> :</h2>

$\boxed{\color{plum}\bold{x = 8}}$

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3 years ago