Which formula can we use or find the circumference of a circle when we know the radius

Answer:

4x–3+3x

Step–by–step explanation:

Look at each term as positive or negative. I will use brackets for the sake of clarity, but that is not necessary. Here, that would look like:

[+4x] [–3] [+3x]

Rearrange the terms.

[+4x] [+3x] [–3]

Remove the brackets.

4x +3x –3

Simplify.

7x – 3

Answer:

Step-by-step explanation:

Let's verify all the options.

Option A:

Option B:

Option C:

Option D:

We can conclude that option C is correct.

Step-by-step explanation:

Lets convert 1 1/3 into improper fraction.

\(1 \frac{1}{3} = \frac{1 \times 3 + 1}{3} \\ = \frac{4}{3} \)

Since Randy studied half the above time,

Randy Studied:

\( \frac{1}{2} \times \frac{4}{3} \\ = \frac{1 \times 4}{2 \times 3} \\ = \frac{4 \div 2}{6 \div 2} \\ = \frac{2}{3} hours\)

1) Number of participants whose headache remained is: 62

2) The probability of randomly selecting an individual whose headache remained is: 0.4133

3) The probability of randomly selecting an individual whose headache remained and took a placebo is: 0.2933

From the table, we have the parameters as:

Number of participants that took medicine and headache went away = 120

Number of participants that took placebo and headache went away = 68

Number of participants that took and headache remained = 18

Number of participants that took placebo and headache remained = 44

1) Number of participants whose headache remained = 18 + 44 = 62

2) The probability of randomly selecting an individual whose headache remained is:

62/(62 + 120 + 68)

= 62/150

= 0.4133

3) The probability of randomly selecting an individual whose headache remained and took a placebo is:

44/150 = 0.2933

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The required terminal point is Q(0,2).

By using the symbol |v|, the magnitude of a vector formula can be utilized to determine the length for a given vector (let's say v). In essence, this measurement represents the separation between the vector's starting and ending points.

For a vector v with endpoints at \((x_1,y_1)\) and \((x_2, y_2)\), its magnitude is

\(v=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

We are given the following in the question:

Initial point of vector, P(1,0)

The terminal point Q has coordinates in the following format because it is on the y-axis:

Q(0,y)

The magnitude of the vector is \(\sqrt{5}\).

Magnitude is given by,

\(v=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\ \sqrt{5} =\sqrt{(0-1)^2+(y-0)^2} \\5=1+y^2\\y^2=4\\y=_-^+2\)

But because the terminal position is higher than the starting point,

y is greater than 0.

Therefore,

y=2

Thus, the terminal point is Q(0,2)

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Answer:

D

Step-by-step explanation:

If the number is positive, the absolute value is the same as the number. If the number is negative, the absolute value is just a positive version of that number. So the absolute value of 0 is 0, -18 is 18, -31 is 31, and -44 is 44. Out if these, D has the greatest absolute value, so it would be D

Answer:

D. -44.

Step-by-step explanation:

Absolute value of -44:

= |-44| = 44

Answer:

[-5, 4) ∪ (4, ∞)

Step-by-step explanation:

Given functions:

\(f(x)=\dfrac{1}{x-3}\)

\(g(x)=\sqrt{x+5}\)

Composite function:

\(\begin{aligned}(f\:o\:g)(x)&=f[g(x)]\\ & =\dfrac{1}{\sqrt{x+5}-3} \end{aligned}\)

Domain: input values (x-values)

For \((f\:o\:g)(x)\) to be defined:

\(x+5\geq 0 \implies x\geq -5\)

\(\sqrt{x+5}\neq 3 \implies x\neq 4\)

Therefore, \(-5\leq x < 4\)  and  \(x > 4\)

⇒  [-5, 4) ∪ (4, ∞)

Answer:

∠G ≅  ∠C

∠F ≅  ∠D

∠H ≅  ∠E

Step-by-step explanation:

Basically let's represent the number of girls with x.

There are 6 more boys than girls, so x+6

Let's sum it all up

x+x+6=40

Collect like terms;

2x+6=40

2x=40-6

2x= 34

Divide both sides by 2

x=17

17+6=23

Therefore there are 17 girls in the class and 23 boys.

please mark Brainliest.

Answer:

option4 : 0.4

Step-by-step explanation:

\(Sin N = \frac{Opposite}{hypotenuse}\)

\(sin 7 = \frac{x}{3.4}\\\\3.4 \times sin 7 = x \\\\3.4 \times 0.122 = x \\x = 0.41\)

Answer:

There are a total of 25 marbles in the bag.

The probability of choosing a red marble first is 8/25 since there are 8 red marbles out of 25 marbles in the bag.

Since a marble is not replaced after the first selection, there are now 24 marbles in the bag. There are still 3 blue marbles in the bag.

The probability of choosing a blue marble second, after a red marble has already been selected, is 3/24 or 1/8 since there are 3 blue marbles left out of 24 marbles in the bag.

To find the probability of both events occurring together, we multiply their individual probabilities:

8/25 x 1/8 = 1/25

Therefore, the probability that a red marble is chosen first, followed by a blue marble, is 1/25.

Answer:

Step-by-step explanation:

r =5sin i

r=5 cos i

divide

tan i=1=tan (π/4),tan(π+π/4)

or tan i=tan (π/4),tan(5π/4)

or  tan i=tan (2n π+π/4),tan (2nπ+5π/4)

or tan i=tan ((8n+1)π/4),tan((8n+5)π/4)

i=(8n+1)π/4,(8n+5)π/4

where n is an integer.

so we get infinite points of intersection.

The length of BC is given as 16/7cm. See the explanation for that below.

In triangle PQR, at angle P, apply Tan Rule.

That is,

Tan P = Opp/Adj

= QR/QP

= 7/11

since PQ is parallel to AC

∠QPC = ∠ACR

Applying Tan for ∠ACR

Tan ∠QPC Tan ∠ACR = O/A

= AR/AC

= 4/AC

7/11 = 4/AC

AC = (4 *11)/7

AC = 44/7cm

In Δ QDR and ABR, as QD and AB are parallel,

∠QDR = ∠ABR

Thus,

Tan ∠QDR = Tan ∠ABR

QR/QD = AR/AB

7/7 = 4/AB

A) AB = 4cm.

Given that AC = 44/7 cm and AB = 4cm

BC = AC = AB

= 44/7 - 4

B) BC = 16/7cm

First lets answer the follow questions.

Using 1/2 AR X AB

= 1/2 X 4 X 4

= 8cm.

1/2 X AR X AC

= 1/2 X 4 X 44/7

= 88/7cm

Hence, Ratio of the area of ARB to BRC = 8: 88/7 or
7:11

First we find the areas of BRC and PRD

Area of BDQ =

1/2 x AR x BC

= 1/2 x 4 x 16/7

= 32/7 cm

Area of PRD =

1/2 x QR x PD

= 1/2 x 7 x 4

= 14cm

Hence the ratio of the area of both triangles is:

32/7 x 1/14

= 16: 49

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well, the error was just 325 - 280 = 45.

now, if we take 280(origin source) to be the 100%, what is 45 off of it in percentage?

\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 280 & 100\\ 45& x \end{array} \implies \cfrac{280}{45}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{ 56 }{ 9 } ~~=~~ \cfrac{ 100 }{ x }\implies 56x=900\implies x=\cfrac{900}{56}\implies x=\cfrac{225}{14}\implies x\approx 16.07\)

The solution of x in the inequality is x > 2

The inequality is given as:

5x + one third(3x + 6) > 14

Rewrite properly as:

5x + 1/3(3x + 6) > 14

Open the brackets

5x + x + 2 > 14

Subtract 2 from both sides of the inequality

5x + x + 2 - 2> 14 - 2

Evaluate the difference

5x + x > 12

Evaluate the like terms

6x > 12

Divide both sides of the inequality by 2

x > 2

Hence, the solution of x in the inequality is x > 2

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Answer:

x > 2, like the other guy said

Step-by-step explanation:

I hope this helps

Answer:

events at A and B are independent because P(A)(B)≠P(A)

Answer:333

Step-by-step explanation:53533535

The value of the segment a for the similar triangles is equal to 6.

The triangles MNO and YXO are similar, this implies that the length OX of the smaller triangle is similar to the length ON of the larger triangle

and the length OY of the smaller triangle is similar to the length OM of the larger triangle

so;

a/(a + 18) = 4/(4 + 12)

16a = 4(a + 18) {cross multiplication}

16a = 4a + 72

16a - 4a = 72 {collect like terms}

12a = 72

a = 72/12 {divide through by 12}

a = 6.

Therefore, the value of the segment a for the similar triangles is equal to 6.

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Answer:

190 / 360 = 0.52777777

0.527777 x 100 = 52,78%

Step-by-step explanation:

C = root of 7^2 + 4^2

= 8.06

Ans = A

Answer:

Yes, your answer would be correct.

Step-by-step explanation:

That graph intersects at (0, 2), is a solid line, and the slope is -2.

answer to the question is 250 newtons

the answer is actually 200 newtons

Answer: 19 miles

Step-by-step explanation:

in 90 minutes there are 1.5 hours,

so, 4×1.5= 6 miles

then, he runs 13 miles for another hour (60 minutes)

6+13= 19 miles

Therefore, the boy runs 19 miles.

Answer:

y=2

Step-by-step explanation:

\(22-7y=8\)

Subtract 22 from both sides

\(-7y= -14\)

Divide by -7 on both sides

\(y=2\)

Hope this helps :)

Answer:1.2x+5 2.2(x+5) 3.(x+5)^2

Step-by-step explanation:

\(\\ \sf\longmapsto a_n=\dfrac{3}{n+1},3\leqslant n\leqslant 7,n\epsilon N\)

LEts verify

\(\\ \sf\longmapsto a_2=\dfrac{3}{4+1}=\dfrac{3}{5}\)

\(\\ \sf\longmapsto a_3=\dfrac{3}{5+1}=\dfrac{3}{6}=\dfrac{1}{2}\)

Answer:

0.008

Step-by-step explanation:

Answer:

X= $3.99

Step-by-step explanation:

X is the value of each book

Answer:

x=3.99

Step-by-step explanation:

3x + 1.5= 13.47

3x + 1.5 - 1.5 = 13.47 - 1.5

3x = 11.97

3x/3 = 11.97/3

HOPE THIS HELPSSS