On a circular playground, the distance from its center to the edge of the playground is 36 feet. What is the approximate circumference of the playground? (Use 3.14 for .)
A.
113.04 ft
B.
226.08 ft
C.
4,069.44 ft
D.
16,277.76 ft

Answer:

Domain = [-7,4]

Range = [-4,8]

Step-by-step explanation:

Domain= all values of x

Range= all values of y

becuase there are no values going to infinity and they all end, we can just look at our end points.

Answer:

[tex]90^{\circ}[/tex]. In other words, these two vectors are perpendicular (orthogonal) to one another.

Step-by-step explanation:

Let [tex]\|a\|[/tex] and [tex]\|b\|[/tex] denote the magnitudes of vector [tex]a[/tex] and vector [tex]b[/tex]. The dot product between these two vectors is represented as [tex]a^{T}\, b[/tex].  Let [tex]\theta[/tex] denote the angle between the two vectors. The cosine of this angle would be equal to:

[tex]\begin{aligned}\cos(\theta) &= \frac{a^{T}\, b}{\|a\| \|b\|}\end{aligned}[/tex].

The dot product between vector [tex]a = \langle 1,\, 2\rangle[/tex] and [tex]b = \langle 1,\, -1/2\rangle[/tex] is:

[tex]\begin{aligned}a^{T}\, b &= {\begin{bmatrix}1 \\ 2\end{bmatrix}}^{T}\, \begin{bmatrix}1 \\ -1/2\end{bmatrix} \\ &= 1 \times 1 + 2 \times \left(-\frac{1}{2}\right) \\ &= 0\end{aligned}[/tex].

The magnitudes of the two vectors are:

[tex]\begin{aligned}\| a \| &= \sqrt{1^{2} + 2^{2}} \\ &= 5\end{aligned}[/tex].

[tex]\begin{aligned}\| b \| &= \sqrt{1^{2} + \left(-\frac{1}{2}\right)^{2}} \\ &= \frac{1}{2}\, \sqrt{5}\end{aligned}[/tex].

Therefore:

[tex]\begin{aligned}\cos(\theta) &= \frac{a^{T}\, b}{\|a\| \|b\|} \\ &= \frac{0}{5 \times (\sqrt{5} / 2)} \\ &= 0\end{aligned}[/tex].

Among all angles between [tex]0^{\circ}[/tex] and [tex]180^{\circ}[/tex], the only angle with a cosine of [tex]0[/tex] is [tex]90^{\circ}[/tex]. Therefore, the angle between vector [tex]a[/tex] and vector [tex]b[/tex] must be [tex]90^{\circ}\![/tex]. Hence, these two vectors are perpendicular to one another.

Answer:

6

Step-by-step explanation:

Longer than 49 is only 25% percentile.

27  X .25 = 6.75

Employees are whole numbers, therefore the answer is 6.

Answer:

6

Step-by-step explanation:

18 females, 13 males, total: 31 students.

•female french students: 2

•male french students: 5

probability: male french = 5/31,

total students

edit: as a percentage, 16.129 %

Answer:

Step-by-step explanation:

To solve for x, you have to isolate it on one side of the equation.

First, subtract by 15 from both sides.

[tex]\sf{5x+15-15=28-15}[/tex]

Solve.

28-15=13

Rewrite the problem down.

5x=13

Divide by 5 from both sides.

[tex]\sf{\dfrac{5x}{5}=\dfrac{13}{5} }[/tex]

Solve.

You can also divide the numbers from left to right.

13/5=2.6

[tex]\boxed{\sf{x=\dfrac{13}{5}=2.6 }}[/tex]

I hope this helps you! Let me know if my answer is wrong or not.

[tex]\rightarrow \sf 5x + 15 = 28[/tex]

[tex]\rightarrow \sf 5x + 15 -15= 28-15[/tex]

[tex]\rightarrow \sf 5x = 13[/tex]

[tex]\rightarrow \sf \dfrac{5x}{5} = \dfrac{13}{5}[/tex]

[tex]\rightarrow \sf x = \dfrac{13}{5}[/tex]

[tex]\rightarrow \sf x = 2\dfrac{3}{5}[/tex]

[tex]\rightarrow \sf x = 2.6[/tex]

Answer:

Part-A= C

Part-B= B

Step-by-step explanation:

153-39=114

114+28=142

39+28=67

Answer:

Part A is b and Part B is c good luck

Answer:

The graph is in the image below

Step-by-step explanation:

you can use an online graphing calculator like Desmos to graph questions like this

I'm not sure if the x2 is x^2 but I will assume

Answer:

1 yard = 3 feet: 3.25 yards x 3 feet per yard = 9.75 feet. 1 foot = 12 inches: 9.75 feet x 12 inches per foot = 117 inches.

Step-by-step explanation:

1 yard = 3 feet: 3.25 yards x 3 feet per yard = 9.75 feet. 1 foot = 12 inches: 9.75 feet x 12 inches per foot = 117 inches.

      Answer: [tex]\frac{4}{75}[/tex]

      To Know: A percent (%) divided by 100 becomes a decimal / fraction.

      Step-by-step explanation:

[tex]5\frac{1}{3}[/tex]% [tex]/100[/tex]

[tex]5\frac{1}{3}[/tex]%[tex]*\frac{1}{100}[/tex]

[tex]\frac{16}{3}[/tex]%[tex]*\frac{1}{100}[/tex]

[tex]\frac{16*1}{3*100} =\frac{16}{300} =\frac{8}{150}=\frac{4}{75}[/tex]

     Leaving us with an answer of [tex]\frac{4}{75}[/tex]

[tex]\mathbf{m}=-\frac{1}{2}[/tex]

⇒ Find the slope of the line that is perpendicular to y = 2x + 7 :

     ↓

     [tex]\mathbf{m}=-\frac{1}{2}[/tex]

I hope this helps you

:)

Answer:

True

Determine whether x+2 is a factor of x³-3x²-7x+6:

↓

[tex]True[/tex]

I hope this helps you

:)

Mary is wrong because ∠A = ∠B = 63°, while ∠C = x ≠ 63°

A triangle is a polygon with three sides and three angles. Types of triangles are equilateral, isosceles and right angled.

An isosceles triangle is a triangle in which two sides and two angles are equal.

From the diagram:

∠A = ∠B (base angles)

Mary is wrong because ∠A = ∠B = 63°, while ∠C = x ≠ 63°

Find out more on triangle at: https://brainly.com/question/17335144

Answer:

Step-by-step explanation:

The mean is calculated by adding up their values, and then dividing them into elements of a set.

All of them should first be added together.

21.2+15.3+20.5+16.8+30.2

Solve.

[tex]\sf{21.2+15.3+20.5+16.8+30.2=104}[/tex]

The sum of the data set is 104.

The number of terms in the data set is n=5.

Therefore, the mean of the data set is 20.8, which is our answer.

I hope this helps you! Let me know if my answer is wrong or not.

it's a cubic function

The given function f(x) = 2x³ – 4x² + 5 is a cubic function.

A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.

A cubic polynomial is a sort of polynomial that is based on the variable's largest exponent, or degree, in mathematical terms. As a result, a cubic polynomial is one in which the degree or maximum power of the variable is 3.

It is observed that the given function is a cubic function as its highest power of the variable is three.

Therefore, the given function f(x) = 2x³ – 4x² + 5 is a cubic function.

To know more about cubic polynomials follow

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Answer:

Step-by-step explanation:

c

Answer:

1

Step-by-step explanation:

Let's say we have y=f (x)

It denotes the y value that corresponds to x.

When x=3, we can see from the graph that

The matching y value for x=3 =1

As a result, h(3)=1

The value of h(3) can be estimated from the piecewise function curve is 1. so option c is correct.

A function that is composed of several smaller functions, each with a distinct domain, is said to be piecewise. The term "piecewise" refers to the way in which these sub-functions are defined in terms of various intervals or "pieces" of the function's overall domain.

Given that,

The graph of the piecewise function

The function is divided into two piece

Interval-1     x ∈ [-4, -1)

Interval-2   x ∈  [-1, 4]

The value of the function when x  is equal to 3,

In the graph it is clearly mention that for x =3

the output value of the function is 1

Hence, the output value is 1

To know more about piecewise function check:

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Answer:

For me I think it is a number 3

Step-by-step explanation:

The statement about these triangles which is true there are exactly three isosceles triangles, the correct option is B.

A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.

We are given that;

4 triangle figure

we can answer the question by counting how many triangles belong to each category. We have:

Three acute triangles: B, D, and E.

Three isosceles triangles: A, D, and E.

Two right triangles: A and C.

Two scalene triangles: B and C.

Therefore, the statement that is true about these triangles is:

Therefore, by the given triangle answer will be There are exactly three isosceles triangles.

Learn more about a right angle triangle;

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Answer:

10 million

Step-by-step explanation:

Answer:

1. A = 40 units²

2. A = 72 units²

3. B) 45

Step-by-step explanation:

1.  This shape comprises 4 congruent triangles with base of 5 units and height of 5 units.

Area of a triangle = 1/2 x base x height

Therefore, area of polygon = 4(1/2 x 5 x 4)

                                             = 40 units²

2.  This shape comprises two pairs of congruent triangles.

Area of a triangle = 1/2 x base x height

Therefore, area of polygon = 2(1/2 x 2 x 6) + 2(1/2 x 10 x 6)

                                             = 72 units²

3.  Count the number of shaded squares:

9 + 8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = 45 units²

Answer:

The exact perimeter is [tex]18\sqrt{2}[/tex] meters.

This is approximately 25.5 meters (nearest tenth).

The area of the rectangle is 36 square meters.

Step-by-step explanation:

Area of a rectangle = width × length

Perimeter of a rectangle = (2 × width) + (2 × length)

Given:

Perimeter

[tex]\textsf{Perimeter}=2 \sqrt{18} +2\sqrt{72}[/tex]

               [tex]=2 \sqrt{9 \cdot 2} +2\sqrt{36 \cdot 2}[/tex]

               [tex]=2 \sqrt{9} \sqrt{2}+2\sqrt{36}\sqrt{2}[/tex]

               [tex]=2 \cdot 3 \sqrt{2}+2\cdot 6\sqrt{2}[/tex]

               [tex]=6 \sqrt{2}+12\sqrt{2}[/tex]

               [tex]=18\sqrt{2} \textsf{ m}[/tex]

The exact perimeter is [tex]18\sqrt{2}[/tex] meters.

This is approximately 25.5 meters (nearest tenth).

Area

[tex]\textsf{Area}=\sqrt{18} \times \sqrt{72}[/tex]

       [tex]=\sqrt{9 \cdot 2} \times \sqrt{36 \cdot 2}[/tex]

       [tex]=3\sqrt{2} \times 6\sqrt{ 2}[/tex]

       [tex]=18\sqrt{2}\sqrt{ 2}[/tex]

       [tex]=18 \cdot 2[/tex]

       [tex]=36 \textsf{ m}^2[/tex]

The area of the rectangle is 36 square meters.

Answer:

5/9

Step-by-step explanation:

Let the probability of getting a multiple of 3 is "A"

Let the probability of getting an even number is "B"

Total number of outcomes=36

Total number of favourable outcomes of either a multiple of 3 or an even number are

(1,1) ,(1,2) ,(2,1) ,(1,3) ,(3,1) ,(2,2) ,(1,5) (5,1) ,(3,3) ,(2,4) ,(4,2) ,(2,6) ,(6,2) ,(3,5) ,(5,3) ,(4,4) ,(6,4) ,(4,6) ,(5,5) ,(6,6)

That is we have 20 favourable outcomes

Hence, Probability=\frac{\text{favourable outcomes}}{\text{total number of outcomes}}Probability=

total number of outcomes

favourable outcomes

Therefore, after substituting the values we get

probability=\frac{20}{36}probability=

36

20

After simplification we will get

probability=\frac{5}{9}probability=

9

5

Answer:

2.5, which would be 2:30 hours

Step-by-step explanation:

time/distance:

22.5/9 = 2.5

9 x 2.5 = 22.5

so the answer is 2.5

Answer:

2.5 hours

Step-by-step explanation:

[tex]\sf time \ taken = \dfrac{distance}{speed}[/tex]

Here:

[tex]\hookrightarrow \sf \dfrac{22.5}{9}[/tex]

[tex]\hookrightarrow \sf 2.5[/tex]

If A:B = 7:8 an B:C =12:7,find

Answer: B

Step-by-step explanation:

Apply Thales theorem

[tex]\\ \rm\rightarrowtail \dfrac{MR}{RN}=\dfrac{MQ}{QP}[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{10}{RN}=\dfrac{8}{5}[/tex]

[tex]\\ \rm\rightarrowtail 8RN=50[/tex]

[tex]\\ \rm\rightarrowtail RN=50/8[/tex]

[tex]\\ \rm\rightarrowtail RN=6.25[/tex]

Answer:

RN = 6.25

Step-by-step explanation:

Triangle Proportionality Theorem: If a line parallel to one side of a triangle intersects the other two sides, then it divides the two sides proportionally.

Therefore,

MQ : MP = MR : MN

⇒ 8 : (8 + 5) = 10 : (10 + RN)

⇒ 8 : 13 = 10 : (10 + RN)

⇒ [tex]\sf\dfrac{8}{13}=\dfrac{10}{10+RN}[/tex]

Cross multiply and solve:

⇒ 8(10 + RN) = 10 × 13

⇒ 80 + 8RN = 130

⇒ 8RN = 130 - 80

⇒ 8RN = 50

⇒ RN = 50 ÷ 8

⇒ RN = 6.25

Answer:

0.75mg

Step-by-step explanation:

6 years is its half life, meaning that half of it will have iradiated by that point. 1.5 / 2 = 0.75

Answer:

y+4

Step-by-step explanation: