Which set of radian angle measures is
equivalent to….

The correct answer is 7.2 inch.

The nearest tenth of a 7inch.

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Answer: x- (y-2)

Step-by-step explanation:

Two less than y would be y-2,

Then you just subtract it from x

The value of cos A is √(1 + x²)/ (1 - x²) /√1 + x

It is important to note that

sin A = opposite/ hypotenuse

cos A = adjacent/ hypotenuse

Then,

opposite = [tex]\sqrt{1} - x[/tex]

Hypotenuse = [tex]\sqrt{1} + x[/tex]

Let's find the adjacent side using the Pythagorean theroem

[tex](\sqrt{1} + x)^2 = (\sqrt{1 -x } )^2 + x^2[/tex]

[tex]1 + x^2 = 1 - x^2 + x^2[/tex]

[tex]x = \sqrt{\frac{1 + x^2}{1 -x^2} }[/tex]

cos A = x/hypotenuse

[tex]cos A = \frac{\sqrt{\frac{1+x^2}{1 -x^2} } }{\sqrt{1} +x}[/tex]

cos A = √(1 + x²)/ (1 - x²) /√1 + x

Thus, the value of cos A is √(1 + x²)/ (1 - x²) /√1 + x

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It takes the time for the wave to travel 6.0 m in the x-direction of 8s.

A wave's wavelength is measured in meters since it is the separation between its two peaks (or troughs). Since waves can be any size or shape, the prefix for meters can vary significantly, from km for radio waves to micrometers for visible light (although it is sometimes stated in nanometers) to picometers for gamma rays..

the wavelength is 1.5 m.

λ/2 = 1 s

1.5/2 =1 s

0.75 m in 1 s is travelled  by the wave.

To travel 6m , the time required is

= 6/0.75

=8s

Thus,

it takes the time for the wave to travel 6.0 m in the x-direction is 8s.

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The equation which represents the explicit formula for a constant velocity arithmetic sequence is; Choice A; xₙ = x₁+(n-1)(v•△t).

It follows from convention that an arithmetic sequence is usually defined by an expression of the form;

T(n) = T(1) + (n-1)×d in which case, d = common difference.

Consequently, in the event that the velocity in discuss is constant, it follows that the required expression is; Choice A; xₙ = x₁+(n-1)(v•△t).

Therefore, xₙ = x₁+(n-1)(v•△t) represent the equation for explicit formula for a constant velocity arithmetic sequence.

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Answer:

x = 8

y = -3

Step-by-step explanation:

Multiply the first equation with (-2)

(-2) * (x - 4y) = 20

-2x + 8y = -40 now find the sum of it with second equation

2x + 5y - 2x + 8y = 1 - 40 add like terms (2x will eliminate -2x)

13y = -39 divide both sides by 13

y = -3

Now we can use this to find the value of x

x - 4y = 20 rewrite the equation using the value we found for y

x - 4(-3) = 20 multiply (-4) and (*3) (product will be positive because we are multiplying two negatives)

x + 12 = 20 subtract 12 from both sides

x = 8

The differential equation [tex]cos(x)dx+\frac{y}{x} dy=0[/tex] is not exact.

For given question,

we have been given  a differential equation [tex]cos(x)dx+\frac{y}{x} dy=0[/tex]

We have to determine given differential equation is exact or not.

Compare it with M dx + N dy = 0

⇒ M = cos(x) and N = y/x

Find the derivative of M with respect to y.

[tex]\Rightarrow M_y=-sin(x)[/tex]

Now, find the derivative of N with respect to x.

[tex]\Rightarrow N_x=\frac{-y}{x^{2} }[/tex]

Since [tex]M_y \neq N_x[/tex], given differential equation is not exact.

Therefore, the differential equation [tex]cos(x)dx+\frac{y}{x} dy=0[/tex] is not exact.

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[tex]64^{\text{x}} = (8^2)^{\text{x}} = 8^{2\text{x}}[/tex]

The rule used is that [tex](a^b)^c = a^{bc}[/tex] we multiply the exponents b and c.

Or we could say this

[tex]64^{\text{x}} = (4^3)^{\text{x}} = 4^{3\text{x}}[/tex]

Or,

[tex]64^{\text{x}} = (2^6)^{\text{x}} = 2^{6\text{x}}[/tex]

Therefore, we have multiple possible answers.

Solving a system of equations we can see that there are 270 sweets and 38 pupils.

Let's define the variables:

P = number of pupils.

S= number of sweets.

With the given information, we can write:

7*P + 4 = S

5*P  + 80 = S

So we have a system of equations, now we can write:

7*P + 4 = S = 5*P  + 80

Solving that for P:

7*P + 4 = 5*P + 80

7*P - 5*P = 80 - 4

2*P = 76

P = 76/2 = 38

There are 38 pupils, and the number of sweets is given by:

S = 7*P + 4 = 7*38 + 4 = 270

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I am not sure but when I calculated answer is √52...........

Answer:

[tex]\sqrt{52}[/tex]

Step-by-step explanation:

You would use the Pythagorean Thereon to find the answer.

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]  You can You can draw a right triangle from the two points.  One way you could do this is draw a line straight down from N and stop when you get down to N'.  Then continue drawing the line horizontally until it gets to N'.  Connect N' to N and will have drawn a right triangle.

The vertical height of your triangle would be the difference of you y values and the horizontal distance would be the difference between your x values.

9 - 3 = 6

6 - 2 = 4

[tex]6^{2}[/tex] + [tex]4^{2}[/tex] =[tex]c^{2}[/tex]

36 + 16 = [tex]c^{2}[/tex]

52 = [tex]c^{2}[/tex]

[tex]\sqrt{52}[/tex] = c

There will be a vertical stretch with a factor of 3.

The statement that <A > <C and <B > <D has been proved

In geometry, the side length opposite the largest angle is the longest side.

Similarly, the side length opposite the smallest angle is the shortest side.

From the given figure of quadrilateral, we have the following sides in increasing order:

The angles opposite the side lengths are:

This means that:

<A > <C and <B > <D

Hence, the statement that <A > <C and <B > <D has been proved

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The equation represents a population of 370 animals that decreases at an annual rate of 11% is [tex]p=370(0.89)^{t}[/tex].

It is defined as the function that rapidly decreases and the value of the exponential function is always positive. It denotes with exponent y = a^x

where a is a constant and a>1.

Given that,

A population of 370 animals that decreases at an annual rate of 11%

a = 370, r = 11%

p = [tex]a(1-r)^{t}[/tex]

 =  [tex]370(1-0.11)^{t}[/tex]

p  =  [tex]370(0.89)^{t}[/tex]

Hence, The equation represents a population of 370 animals that decreases at an annual rate of 11% is [tex]p=370(0.89)^{t}[/tex].

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The exponential model that best represents the data is f(x) = 2(3)x

Exponential equations are inverse of logarithmic equation. Exponential equations are written in the form y = ab^x

where

a is the base

x is the exponent

Using the coordinate points (0, 2) and (1, 6)

Substitute

2 = ab^0
6 = ab

Take the ratio
6/2 = ab/a
3 = b

Determine the value of 'a"

Recall that

6 = ab

6 = 3a

Divide both sides by 3

3a/3 = 6/3

a = 2

Hence the exponential model that best represents the data is f(x) = 2(3)x

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[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{Formula \rightarrow \dfrac{1}{2} \times \bold{b}ase\times\bold{h}eight\times \bold{l}ength}[/tex]

[tex]\mathsf{Your\ equation\ should\ look\ like\rightarrow \dfrac{1}{2}\times12\times8\times27}[/tex]

[tex]\mathsf{Solving\rightarrow \dfrac{1}{2}\times12\times8\times27}[/tex]

[tex]\mathsf{ \dfrac{1}{2}\times12\times8\times27}[/tex]

[tex]\mathsf{= \dfrac{1}{2}\times\dfrac{12}{1}\times\dfrac{8}{1}\times\dfrac{27}{1}}[/tex]

[tex]\mathsf{= \dfrac{1\times12\times8\times27}{2\times1\times1\times1}}[/tex]

[tex]\mathsf{= \dfrac{12\times8\times27}{2\times1\times1}}[/tex]

[tex]\mathsf{= \dfrac{96\times27}{2\times1}}[/tex]

[tex]\mathsf{= \dfrac{2,592}{2}}[/tex]

[tex]\mathsf{= 2.592\div2}[/tex]

[tex]\mathsf{= 1,296}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{Option\ C.\ }\frak{1,296\ cm^3}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

If a quadrilateral exists as a parallelogram, then opposite sides exist congruent and parallel.

If a quadrilateral exists as a parallelogram, then opposite sides exist congruent and parallel.

Given: AB = 6cm , BC = 5cm, AD = 4cm, CD = 7cm and BD = 6cm​

Draw a line AB with 6cm with A as the center draw an arc of radius 4 cm. And draw another arc of 6cm to cut the previous arc at D with B as the center draw an arc of radius 5cm. And with D draw another arc of 7cm to cut the previous arc at C. Join the lines of the quadrilateral.

Now ABCD exists as a required quadrilateral.

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Answer:

Hey there!

Step-by-step explanation:

This is ur answer...

Hope it helps!

Brainliest pls!

Have a good day!^^

❄ Hi there,

the coefficient of a variable is a number multiplied by that variable; it can be any real number.

∴,

[tex]\hfill\stackrel{\textbf{coefficient of x}}{5}[/tex]

[tex]\hfill\stackrel{\textbf{coefficient of y}} {-3}[/tex]

That's it.                              

❄                                                                                                   [tex]\small\pmb{Frozen \ melody}[/tex]

The correct simplification of the given expression is (B) [tex]16x^{3} -50x^{2} -23x+30[/tex].

To find the correct simplification of the given expression:

Therefore, the correct simplification of the given expression is (B) [tex]16x^{3} -50x^{2} -23x+30[/tex].

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The correct question is given below:
Choose the correct simplification of the expression (8x − 5)(2x2 − 5x − 6). (1 point)

(A) 16x3 − 50x2 − 23x − 30

(B) 16x3 − 50x2 − 23x + 30

(C) 16x3 − 30x2 − 23x + 30

(D) 16x3 + 50x2 − 23x + 30

Answer:

y = 0.8x + 3.4

Step-by-step explanation:

Substituting into point-slope form and converting to slope-intercept form,

[tex]y-1=0.8(x+3) \\ \\ y-1=0.8x+2.4 \\ \\ y=0.8x+3.4[/tex]

The formula for the linear function which is passing the points (0, 5) and (1, 20) is f(x) = 15x + 5.

According to the given question.

The linear form of the function is

f(x) = mx + b

Also, the function is passing through the points (0, 5) and (1, 20).

So, the given points (0, 5) and (1, 20) must satisfy f(x) = mx + b.

Now,

At (0, 5)

f(0) = m(0) + b

⇒ 5 = 0 + b

⇒ b = 5 ..(i)

Also,

at (1, 20)

f(1) = m(1) + b

⇒ 20 = m + 5     (from i)

⇒ m = 20 - 5

⇒ m = 15

Therefore, the formula for the linear function which is passing the points (0, 5) and (1, 20) is given by

f(x) = 15(x) + 5   (on substituting the vale of m and b in f(x) = mx + b).

⇒ f(x) = 15x + 5

Hemce, the formula of the function is f(x) = 15x + 5.

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Answer:

A

Step-by-step explanation:

The answer is negative so that eliminates one

and the greater sign is opposite of b so that makes the answer A!

Value of p is 0.5.

Given

Mean of a binomial distribution np = 12

Sample n = 60

The binomial distribution is the discrete probability distribution that gives only two possible results in an experiment, either success or failure.

To calculate the mean of a binomial distribution B(n, p) we need to multiply the number of trials n by the probability of successes p,

mean = n × p .

Value of p:

np = 12

(60) p = 12

p = 12/60

p = 1/2

p = 0.5

Value of p is 0.5.

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She walks 540 yards for 3 full laps around the park per day.

From the information given;

The longest part of the triangular park = 75 yards

The shortest part = 45 yards

Let's find the other part, using Pythagorean theorem;

a² = b² + c²

75² = 45² + c²

c² = 75² - 45²

Find the squares

c² = 5625 - 2025

c² = 3600

Make 'c' the subject

c = √3600

c = 60 yards

If she walks

75 + 60 + 45 yards per lap

180 yards per lap

For three laps, she walks

= 3 × 180

= 540 yards

Thus, she walks 540 yards for 3 full laps around the park per day.

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Answer: y ≥ [tex]\frac{3}{2}[/tex]x + 3

Step-by-step explanation:

       Since the shaded area is above the line, we will use either > or ≥ for our inequality.

       Next, since this is a solid line we will use the ≥ symbol for our inequality. This means the answer is the first option.

Answer:

35%

Step-by-step explanation:

All the prime numbers from 1 to 20 are:

2 3 5 7 11 13 17 19

7 / 20 = 35 / 100 = 35%

The given statement is false because the triangles may not be identical if their corresponding angles are genuinely different.

Based only on the information given in the diagram, it is guaranteed that PQR~ STU:

Two right triangles, ΔPQR and  ΔSTU—are shown in the illustration with their right angles at ∠P and ∠S, respectively.

It is also demonstrated that TU = 12 units and QR = 6 units.

Because we only provided one set of congruent angles, we are unable to apply the A postulate of similarity to it.

Additionally, since there is only one pair of comparable sides, we are unable to determine whether they are proportionate.

The statement "based purely on the information presented in the diagram, it is assumed that triangle PQR triangle STU" is False because the triangles may not be identical if their corresponding angles are genuinely different.

Hence, The given statement is false.

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Answer-

Step-by-step explanation:

Question 8

Part (a)

The gradient is the coefficient of x after isolating y.

[tex]3x+y=15 \\ \\ y=\boxed{-3}x+15 [/tex]

Part (b)

The line crosses the y-axis when x=0. So, the line crosses tne y-axis at (0,15).

By similar logic, the answers to Question 9 are:

(a) -3

(b) (0, -4.5)

Step-by-step explanation:

Since the circle is inside the square, we can subtract its area from the squares area.

the squares area can be found by multiplying the height and width

[tex]8^2=64[/tex]

now to find the area of the circle we use

[tex]A=\pi r^2[/tex]

the radius is 4.

assuming pi=3.14

your answer is 50.24.