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mr_godi [17]
2 years ago
14

Question 23 of 40

Mathematics
2 answers:
madreJ [45]2 years ago
8 0
D. a shape formed by two intersecting lines from a common point
atroni [7]2 years ago
6 0

Answer:

asslssolaooalalsisokaoqkkwmf

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On the unit circle, which of the following angles has the terminal point coordinates (√2/2,-√2/2)
aleksandr82 [10.1K]

Answer:

Option B

Step-by-step explanation:

A unit circle means radius of the circle = 1 unit

Let a terminal point on the circle is (x, y) and angle between the point P and x-axis is θ.

Center of the circle is origin (0, 0).

Therefore, ordered pair representing the terminal point will be (OP×Cosθ, OP×Sinθ) = (\frac{\sqrt{2} }{2},-\frac{\sqrt{2} }{2})

OP.Cosθ = 1×Cosθ = \frac{1}{\sqrt{2}}

Cosθ = \frac{1}{\sqrt{2}}

θ = \frac{\pi }{4}+2\pi n,  \frac{7\pi }{4}+2\pi n where n = integers

Similarly, OP×Sinθ = 1×Sinθ = -\frac{1}{\sqrt{2}}

Sinθ = -\frac{1}{\sqrt{2} }

θ = \frac{5\pi }{4}+2\pi n,  \frac{7\pi }{4}+2\pi n where n = integer

Common value of θ will be, θ = \frac{7\pi }{4}

Option B will be the answer.

5 0
3 years ago
What is the probability that a point chosen at random in the given figure will be inside the larger square and outside the small
liraira [26]

Answer:

  • 51/100

Step-by-step explanation:

<em>The probability that a point chosen at random in the given figure will be inside the larger square and outside the smaller square</em> is equal to the ratio of the area of interest to the total area:

<em>P(inside larger square and outside smaller square)</em> = area of interest / total area

<em>P(inside larger square and outside smaller square)</em> = area inside the larger square and outside the smaller square / area of the larger square

<u>Calculations:</u>

<u />

1. <u>Area inside the larger square</u>: side² = (10 cm)² = 100 cm²

2. <u>Area inside the smaller square </u>= side² = (7cm)² = 49 cm²

3. <u>Area inside the larger square and outside the smaller square</u>

  • 100 cm² - 49 cm² = 51 cm²

4.<u> P (inside larger square and outside smaller squere)</u>

  • 51 cm² / 100 cm² = 51/100
5 0
3 years ago
What is the rule for the following geometric sequence? 64,128,256,512...
professor190 [17]

Answer:

B

Step-by-step explanation:

The explicit rule for a geometric sequence is

a_{n} = a₁ (r)^{n-1}

where a₁ is the first term and r the common ratio

Here a₁ = 64 and r = \frac{a_{2} }{a_{1} } = \frac{128}{64} = 2 , then

a_{n} = 64 (2)^{n-1} → B

8 0
2 years ago
Read 2 more answers
Determine the common ratio and find the next three terms of the geometric sequence t8, t5, t2
attashe74 [19]
The common ratio of the given geometric sequence is the number that is multiplied to the first term in order to get the second term. Consequently, this is also the number multiplied to the second term to get the third term. This cycle goes on and on until a certain term is acquired. In this item, the common ratio r is,

    r = t⁵/t⁸ = t²/t⁵

The answer, r = t⁻³.

The next three terms are,

    n₄ = (t²)(t⁻³) = t⁻¹
    n₅ = (t⁻¹)(t⁻³) = t⁻⁴
    n₆ = (t⁻⁴)(t⁻³) = t⁻⁷

The answers for the next three terms are as reflected above as n₄, n₅, and n₆, respectively. 
3 0
3 years ago
Read 2 more answers
Find the values of x and y - i will give brainliest if right
kherson [118]

Answer:

itd x=68 and y=5 I apolgize if its wrong

4 0
2 years ago
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