Write in if/Then form: A shape has 4 congruent sides, if it is a rhombus.

Answer:

cos²x

Step-by-step explanation:

(a-b)(a+b)=a²-b²

sin²x+cos²x=1 => cos²x=1-sin²x

(1 − sin x)(1 + sin x)=1-sin²x=cos²x

The simplified value of the (1 − sin x)(1 + sin x) is cos² x.

The correct option is B.

To simplify the expression (1 − sin x)(1 + sin x), we can use the identity for the difference of squares, which states that (a − b)(a + b) = a² − b².

So, it can written as

(1 − sin x)(1 + sin x) = (1)² − (sin x)².

Now, using the identity sin² x + cos² x = 1, we can substitute (sin x)² with (1 − cos² x):

(1)² − (sin x)² = 1 − (1 − cos² x) = 1 − 1 + cos² x = cos² x.

Therefore, the simplified expression is cos² x.

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Answer:

The probability that Jason will get  exactly 7 strikes out of 10 attempts is 0.117.

Step-by-step explanation:

We are given that Jason is a very good bowler and has proven over the  course of a season of league play that he gets a  STRIKE 50% of the time.

Also, Jason has been given 10 attempts.

The above situation can be represented through binomial distribution;

[tex]P(X = r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x=0,1,2,3,.......[/tex]

where, n = number trials (samples) taken = 10 attempts

            r = number of success = 7 strikes

            p = probability of success which in our question is % of the time

                   he gets a strike, i.e; p = 50%

Let X = Number of strikes Jason get

So, X ~ Binom(n = 10, p = 0.50)

Now, probability that Jason will get  exactly 7 strikes out of 10 attempts is given by = P(X = 7)

                 P(X = 7)  =  [tex]\binom{10}{7} \times 0.50^{7} \times (1-0.50)^{10-7}[/tex]

                                =  [tex]120 \times 0.50^{7} \times 0.50^{3}[/tex]

                                =  [tex]120 \times 0.50^{10}[/tex]

                                =  0.117

Therefore, the probability that Jason will get  exactly 7 strikes out of 10 attempts is 0.117.

The probability that Jason will get exactly 7 strikes out of 10 attempts can be calculated using the binomial probability formula with a 50% strike rate.

The probability that Jason will get exactly 7 strikes out of 10 attempts, given a 50% strike rate, can be calculated using the binomial probability formula:

P(X = k) = C(n, k) * p[tex]^{(k)}[/tex] * (1 - p)[tex]^{(n - k)}[/tex]

Using the formula, we get:

P(X = 7) = C(10, 7) * (0.5)⁷ * (0.5)⁽¹⁰⁻⁷⁾

Calculating the combination C(10, 7) and following the formula yields the specific probability value for Jason to get exactly 7 strikes in 10 attempts.

Answer:

-sqrt(2)/2

Step-by-step explanation:

5pi/4 lies in the third quadrant with basic angle: 5pi/4 - pi = pi/4

sin(pi/4) = sqrt(2)/2

Since it's in quadrant 3, sin would be negative

sin(5pi/4) = -sqrt(2)/2

sqrt: square root

When the above math expression is evaluated,  the value of sin(5π/4) is -√2/2.

To evaluate sin(5π/4), we can use the unit circle or trigonometric identities.

The angle 5π/4 is located in the third quadrant of the unit circle, where the sine function is negative.

In the unit circle, at 5π/4, the corresponding point is (-√2/2, -√2/2). The y-coordinate of this point represents the value of the sine function.

Therefore, sin(5π/4) = -√2/2. hence, the value of sin(5π/4) is -√2/2.

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Answer:

B and F

Step-by-step explanation:

it is a negative line and has a y intercept of 1

Answer: F | C | D

Step-by-step explanation: Because Im goated with the sauce

Answer:

42

Step-by-step explanation:

9.5+15.5=25. 11.75+5.25=17. 25+17=42. That should explain it. I hope this helps.

Answer:

Marty spent $42. How I got this answer is I added 11.75+5.25 first, equaling 17. Then I added 15.50 to 17, equaling 32.50. Finally I added 9.50 to 32.50 equaling 42.

Step-by-step explanation:

9.50+15.50+11.75+5.25= $42

Answer:

v=99.215674164922cm^2

Answer:

(the image attached)

Step-by-step Explanation:

Amplitude: 1

Period: 2π

Phase Shift: 0 (0 to the right)

Vertical Shift: 3

An image is attached below for the graph of the function y = cos(x) + 3

A function such as the sin, cos, tan, cot, sec, and cosec of an angle or an arc expressed in terms of the ratios of pairs of sides of a right angled triangle.

The graph of cos(x) is a periodic function with time period 2π. After every 2π it repeats itself so we call it as a periodic function.

for x = 0

y = cos(0) + 3

y = 1 + 3

y = 4

for x = π/2

y = cos(π/2) + 3

y = 0 + 3

y = 3

An image graph of cos(x) + 3 is given try out different vales of x to understand more about how the function behaves.

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Answer:

all except kilometers

Step-by-step explanation:

Answer:

$37

Step-by-step explanation:

2x4=8

3x5=15

12+17+7+8+15+4=63

100-63=37

$37

Answer:37

Step-by-step explanation: 12+17=29      29+7=36       36+8=44    44+15=59    59+4=63     And you 2(4) you multiply and 3(5) you also multiply

Then you subtract 100 and 63and get 37

Answer:

450

Step-by-step explanation:

7500 times 6% is 450 your equation will be PRT principal which is the amount you started with times rate which is the % times time in years

Answer:

x = 2

Step-by-step explanation:

9(x+1) = 25+x

Distribute

9x +9 = 25+x

Subtract x from each side

9x-x +9 = 25+x-x

8x +9 = 25

Subtract 9 from each side

8x+9-9 = 25-9

8x = 16

Divide each side by 8

8x/8 = 16/8

x = 2

Answer: 97% growth rate.

Step-by-step explanation:

Hi, to answer this question we have to analyze exponential function:

A = P (1 + r) t  

Where:

p = initial value

r = growth or decay rate (decimal form)

t= number of time intervals

A = value after t intervals

Replacing with the values given:

y=3400(1.97)^x

Where the term 1.97 = 1 + r

Solving for r:

1.97-1 = r

0.97 =r

Since the rate is positive, it is a  growth rate.

To determine the percentage we have to multiply it by 100

0.97 x 100 = 97%

Feel free to ask for more if needed or if you did not understand something.

Answer:

the answer is in the

Step-by-step explanation:

Answer:

6.25

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

It's A just trust me I'm not doing the work lol

Answer:

The answer would be A. $.042

Step-by-step explanation:

For you to find out the answer to how much change he should get back, subtracting the two numbers will get you the answer

1.00 - .58 = .42

Feel free to let me know if you need more help. :)

Answer:

37

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

37.476 = 37

Answer:

30

Step-by-step explanation:

70-10 is 60 because you take it to the other side

then 4x minus 2x is 2x

then 2 divided by 60 is 30

so x=30

hope this helps!

Answer: X = 30

-2x + 10 + 4x = 70

-2x + 4x + 10 = 70

2x + 10 = 70

so the result is X = 30

its true

hope i helped  

Answer:

Step-by-step explanation:

Factor the left hand side as a difference of squares:

(

cos

2

θ

+

sin

2

θ

)

(

cos

2

θ

−

sin

2

θ

)

=

cos

2

θ

−

sin

2

θ

Apply the pythagorean identity  

cos

2

θ

+

sin

2

θ

=

1

:

1

(

cos

2

θ

−

sin

2

θ

)

=

cos

2

θ

−

sin

2

θ

cos

2

θ

−

sin

2

θ

=

cos

2

θ

−

sin

2

θ

L

H

S

=

R

H

S

Hopefully this helps!

Answer:

11 ft

Step-by-step explanation:

The area of a trapezoid is given as:

A = ½(a + b)h

Where a = length of one base of the trapezoid = 15 ft

b = length of the second base of th trapezoid

h = height of the trapezoid = 7.6 ft

When the area is 98.8 ft², the length of the second base will be:

98.8 = ½(a + 15) * 7.6

2 * 98.8 = (a + 15) * 7.6

197.6 / 7.6 = (a + 15)

26 = (a + 15)

=> a = 26 - 15 = 11 ft

The length of the second base if the trapezoid is 11 ft.

Answer:

2^120

Step-by-step explanation:

6 x 20 = 120

Answer:

4²⁶

Step-by-step explanation:

It's easier than you think; all you need to do is multiply 2⁶ x 2²⁰.

Multiply the bases and add the exponents. You will get 4²⁶.

Answer:

s = 2

Step-by-step explanation:

You want to isolate the variable so add 9 to both sides. That gives you 7s = 14. Now divide both sides by 7 to get s alone, and that equals s = 2. I hope this helps and please mark me brainliest!

Answer:

[tex]s = 2[/tex]

Step-by-step explanation:

[tex]7s - 9 = 5 \\ add \: 9 \: from \: both \: sides \\ \\ 7s = 14 \\ divide \: both \: sides \: by \: 7 \\ \\ s = 2[/tex]

Answer:

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Take the first two numbers (60 and 60) and add them, then compare it to the last number (60). If the answer from adding is greater than the 3rd number, you have your answer :) Hope this helps!

Answer:

I got 4/5

Step-by-step explanation:

Answer:

Option 1

Step-by-step explanation:

This is because in inequalities, the closed circle means greater/less than or equal to and the open circle means greater/less than. Since there is no line under the inequality, it is less than, therefore you need to use an open circle.

Answer:

0.545

Step-by-step explanation:

In the missing table the following information is shown:

Did You Watch More Than One Hour of TV Last Night?

3rd Period Class: Yes- 11 No- 6

6th Period Class: Yes- 12 No- 10

The probability that the student watched more than 1 hour of TV  given that he/she belongs to 6th period class is:

P(more than 1 hour of TV | 6th period class) = 12/(12+10) = 0.545

The probability (more than thanhour of TV | 6th period class).and rounded to the nearest thousandth is:

This refers to the chance occurrence of an event based on both dependent and independent variables.

Hence, from the complete question, there is the table which gives the following data;

Hence, the probability that the student watched more than 1 hour of TV  given that he/she belongs to 6th period class is:

= 12/(12+10) =

0.545

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Answer: 8 weeks

Step-by-step explanation:

20 - 4 = 16

16 / 2 = 8

The correct answer is 8 weeks.

Answer:

d

Step-by-step explanation:

The graph that shows a system of equations with exactly one solution is graph d

From the question, we have the following parameters that can be used in our computation:

The graphs

The graph that shows a system of equations with exactly one solution is the graph where there is only one point of intersection on the functions

Using the above as a guide, we have the following:

The graph that shows exactly one solution is (d)

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Answer:

t = - 3

Step-by-step explanation:

2x2 - 4x = t

2x2 - 4x - t = 0

a = 2, b = - 4, c = - t

b2 - 4ac = 0

(-4) - 4(2)(-t) = 0

16  + 8t = 0

8t = - 16

t = - 3

good day, and be safe

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