A steel wire, when bent in the form of a square, encloses an area of 121 sq cm. The same wire

is bent, in the form of a circle. Find the area of the circle.

​

Answer:

The answer is A: x + 0

Step-by-step explanation:

I got it correct on Edge. Please give 5 stars and have a great day! :)

The translation of the x-coordinate is written as x⇒0 for the triangle ABC.

A translation in mathematics moves a shape left, right, up, or down but does not turn it. The translated (or image) shapes appear to be the same size as the original shape, indicating that they are congruent. They've just moved in one or more directions.

A coordinate system is a two-dimensional number line, such as two perpendicular axes. This is an example of a typical coordinate system: The horizontal axis is referred to as the x-axis, and the vertical axis is referred to as the y-axis.

Given that on a coordinate plane, triangle A B C has shifted 6 units up. The x translation for the triangle is zero.

The x-coordinate translation is written as,

x ⇒ 0

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Answer:

165

Step-by-step explanation:

we solve this by sum over the possible symmetry groups of the colorings.

1.If the board has 90 degree rotational symmetry, then all four squares are the same color. There are 5 such boards.

2. If the board has 180 degree rotational symmetry (but not 90 degree), then it has to be a 2-color checkerboard pattern. There are ⁵c₂=10 such boards.

All the remaining boards have no rotational symmetry. We can count these boards by taking all possible colorings, subtracting the ones counted above, and dividing by four (since each of these boards corresponds to four colorings). The result is (54−2×10−5)÷4=600÷4=150.

so, total number of boards= 5+10+150= 165.

Answer:

The resulting graph is [tex]y = 5\cdot \sin x[/tex].

Step-by-step explanation:

The resulting function is of the form:

[tex]y = A\cdot \sin x + k[/tex]

Where:

[tex]x[/tex] - Independent variable, dimensionless.

[tex]y[/tex] - Dependent variable, dimensionless.

[tex]A[/tex] - Amplitude, dimensionless.

[tex]k[/tex] - Midpoint value, dimensionless.

The sine function is bounded, between -1 and 1, and must be multiplied by a stretch factor. That is: [tex]A > 0[/tex]. According to the graph, the function is bounded between 5 ([tex]y_{max}[/tex]) and -5 ([tex]y_{min}[/tex]), and the midpoint value ([tex]k[/tex]) is 0. The amplitude is determined by the following calculation:

[tex]A = \frac{y_{max}-y_{min}}{2}[/tex]

If [tex]y_{min} = -5[/tex] and [tex]y_{max} = 5[/tex], then:

[tex]A = 5[/tex]

The resulting graph is [tex]y = 5\cdot \sin x[/tex].

Answers for whole assignment:

(starting after this question)

2) graph 2

3) Minimum: -4

Maximum: 4

Amplitude: 4

zeros: 2nd and 3rd option

4) 2nd graph

5) range of y = sin(x)?

1st one

range of y = 3sin(x)?

2nd one

range of y = –3sin(x)?

2nd one  

range of y = –3sin(x) – 2?

3rd one

6) graph 1

7) graph 3

8) amplitude = 2

midline y = 4

3rd option

9) 2nd option

10) The graph of y = –2sin(x) – 1 is the graph of the parent function stretched vertically by a factor of 2, reflected over the x-axis, and shifted 1 unit down.  The maximum of the parent function is 1, the minimum is –1, and the amplitude is 1.  The maximum of y = –2sin(x) – 1  is 1, the minimum is –3, and the amplitude is 2.

Answer:

1 neither

2 neither

3 neither

Step-by-step explanation:

Answer:

There are two answers, c=20.2 or c=1.0

Step-by-step explanation:

The value of c is 20.2 units

The law of cosine states that the square of any one side of a triangle is equal to the difference between the sum of squares of the other two sides and double the product of other sides and cosine angle included between them.

Let a, b, and c be the lengths of the three sides of a triangle and A, B, and C be the three angles of the triangle. Then, the law of cosine states that: a2 = b2 + c2 − 2bc·cosA. As stated above, the law of cosines in trigonometry generalizes the Pythagorean theorem.

The law of cosines formula can be used to find the missing side of a triangle when its two sides and the included angle is given i.e., it is used in the case of a SAS triangle. We know that if A, B, and C are the vertices of a triangle, then their opposite sides are represented by the small letters a, b, and c respectively. The law of cosines formula is used to:

find any angle of the triangle when a, b, and c are given.

There are three laws of cosines and we choose one of them to solve our problems depending on the available data.

As,

m∠A=15°, a=10, and b=11.

Now, using cosine rule

cos A = b² + c² - a²/ 2bc

cos 15 = 121+ c²-100/22c

0.96 = 121+ c²-100/22c

21.25 c = 21 + c²

21 + c² - 21.25 c=0

By solving the quadratic equation

c=20.2 units.

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Answer:

The two equivalent expressions are 6(x − y) and 6x − 6y.

Step-by-step explanation:

The first expression shows subtracting the number of packages of cherry snacks from the number of packages of strawberry snacks in each box and then multiplying the difference by the number of boxes. That's the same as finding the total number of cherry snacks and subtracting it from the total number of strawberry snacks, as shown in the second expression.

Have a good day!<3

The two equivalent expressions means in terms of the situation are 6(x − y) and 6x − 6y.

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

The first expression shows subtracting the number of packages of cherry snacks from the number of packages of strawberry snacks in each box and then multiplying the difference by the number of boxes then it will be as;

6(x-y)

Now, the total number of cherry snacks and subtracting it from the total number of strawberry snacks, as shown in the second expression will be;

6x - 6y

The two equivalent expressions means in terms of the situation are 6(x − y) and 6x − 6y.

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Answer: He can buy 5 loaves of bread.

After buying 5 loaves 15 p will be left.

Step-by-step explanation:

Given, In the supermarket a loaf of bread costs 37p .

To find: How many loaves can David buy with a [tex]\pounds 2[/tex] coin?

Since [tex]\pounds 1=100\text{ pence}[/tex]

Then, [tex]\pounds 2=200\text{ pence}[/tex]

Number of loaves he can buy = (Amount he has) ÷ (Cost of a loaf of bread)

= 200 p ÷ 37 p

[tex]=5\dfrac{15}{37}[/tex]

i.e. he can buy 5 loaves of bread and 15 p will be left.

Hence, He can buy 5 loaves of bread.

After buying 5 loaves 15 p will be left.

Answer: 283 cm2

Step-by-step explanation:

The formula for finding the surface area of a cone is:

A=[tex]\pi r(r+\sqrt{h2+r2})[/tex] Where r is the radius and h is the height.

Replacing: [tex]\pi 5(5+\sqrt{(12)2+(5)2}[/tex]

Solving: 282,7 ≈ 283cm2

Answer:

bee

Step-by-step explanation:

its be because its true

Answer:

A

Step-by-step explanation:

With this one, you can just plug in 3 into each of the equations until the answer is 1.

When u plug 3 into x for solution A.

(1/3)×3=1

1^2=1

Answer:

[tex]\boxed{ \mathrm{A} }[/tex]

Step-by-step explanation:

The point is given (3, 1)

x = 3

y = 1

y = (1/3x)²

Plug x as 3 and y as 1.

The equation should be equal.

1 = (1/3(3))²

1 = 1²

1 = 1 True

Answer:

5 in^2

Step-by-step explanation:

The area of the sector will always be proportionate to the angle in the circle.

(The area of the sector / area of the circle) is equal to( the angle of the section divided by the angle of the circle)

The total degrees of a circle is 360

(area of the sector) = (60° / 360°) * 30 in^2

Answer:

B C E

Step-by-step explanation:

A

P

E

X

Answer:

The 8 square meters represent the product of the height by the width of the wall and therefore, its area.

Step-by-step explanation:

Ginnie is going to paint a wall and measures the height and the width, the walls are usually in the form of a rectangle or square. To find the area of both we need to multiply the height by the width (in the case of the square both are the same) and this will give us the total amount of paint that we need to paint the wall.

In this example, Ginnie finds that she needs enough paint to cover 8 square meters, therefore, these 8 square meters represent the product of the height by the width (that we don't know but it doesn't matter) of the wall and therefore, its area.

Answer:

hypotenuse

Step-by-step explanation:

hypotenuse.  The length of the hypotenuse is the distance between the two given points.

Answer:

hypotenuse

Step-by-step explanation:

Answer:

x, StartFraction x Over 2 EndFraction, StartFraction x Over 4 EndFraction, StartFraction x Over 8 EndFraction, ellipsis

Step-by-step explanation:

Answer:

C. x, x/2, x/4, x/8, ...

Step-by-step explanation:

I'm late but it's correct on edg, just did it myself. Hope it helps!

Answer:

69.7° (corrected to 3 significant figures)

Step-by-step explanation:

Use the cosine formula to solve for x.

[tex]cosA=\frac{(b^2+c^2-a^2)}{2bc} \\cos x =(3.5^2+ 3.5^2 -4^2)}/[2(3.5)(3.5)]cos x =0.346939\\x=69.7[/tex]

Answer:

D. A formula

Step-by-step explanation:

If you look at an example of a theorem, let's try Pythagorean Theorem, you can see it is a formula used to find an angle of a triangle, especially a hypotenuse.

Answer:

Step-by-step explanation:

There are the same angles in similar triangles but sides not necessarily.

In congruent triangles there are the same angles and the same sides.

Reflection, rotation or translation changes only position of triangle or mirrors it. Doesn't change the size, so the created triangle is congruent.

Answer:

glide reflection

Step-by-step explanation:

I hope this helps

Answer:

Any number other than 2

Step-by-step explanation:

Well if we plug in any number other than 2 like 1  for the blank and distribute,

the right side becomes,

3x + 6 = 3x + a number other than 6

Parallel lines have the same slope but different y intercept.

Look at the image below ↓

Thus,

to make the equation have no solution the blank has to be any number other than 2.

Hope this helps :)

Answer:

For f(x)+2, it goes along the y axis, 2 units.

For f(x+2), it goes along the x axis, -2 untis.

Step-by-step explanation:

Answer:

The answer would be zero. This is due to the fact that the tangent is a line on a point around the circle. These two circles share no common tangents.

Step-by-step explanation:

The number of the common tangent to the concentric circles is zero. Option D is correct.

Two concentric circles are given in the figure, and common tangents to the circles are to be determined.

The circle is the locus of a point whose distance from a fixed point is constant i.e center ( h, k ). The equation of the circle is given by[tex](x-h)^2 + (y-k)^ = r^2[/tex]. where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.

Since the line passes through the circumference of the circle is known as a tangent to the circle and the common tangent of the concentric circle is not possible because the tangent to the inner circle results secant to the outer circle.

Thus, the number of the common tangent to the circles is zero. Option D is correct.

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Answer:

[tex]f(x) = (x+1)^2 +2[/tex]

Step-by-step explanation:

Well you complete the square and get,

[tex]x^2 + 2x + 1 ^2 - 1^2 +3[/tex]

Then you use the binomial formula to get,

(x + 1)^2 + 2

Thus,

f(x) = x^2 + 2x + 3 is f(x) = (x + 1)^2 + 2.

Hope this helps :)

Answer: 3x - 9

Step-by-step explanation: "9 less than three times a number" does not mean 9 minus three times a number, less than actually switches the order around so that 9 less than three times a number actually means three times a number minus 1 which can be read as 3x - 9.

Answer:

1. x=40

2. x=15

3. x=197

4. x=39

Step-by-step explanation:

pythagorean theorem: a^2 + b^2 = c^2

c= hypotenuse

Answer:

1 is 40, 2 is 15, 3 is 197, and 4 is 89

Step-by-step explanation:

Answer:

The length of the other leg is 8.94 m.

Step-by-step explanation:

Given that,

Hypotenuse of a right triangle is 12 m

The length of the one of the legs of a right triangle is 8 m

We need to find the length of the other leg. It is based on the concept of Pythagoras theorem. Let the other leg is h. So, according to this theorem,

[tex]H^2=b^2+h^2[/tex]

H = hypotenuse = 12 m

b = base = 8 m

[tex]h^2=H^2-b^2\\\\h^2=12^2-8^2\\\\h=\sqrt{80}\\\\h=8.94\ m[/tex]

So, the length of the other leg is 8.94 m.

Answer:

9*((2-1)/9)

or

2 -1

9

2-9 =-7

9. 9

9× -7

9

=-7

2- 3

9. -3

=(1.22222222222)

or

11/9

or

1*(2/9)

Answer: Kim - Resp after 24 months = $4,416.00

              Kim - Technology Fund after 24 months = $1,120.06

              Kim's Technology Fund has enough money to buy a laptop.

              Kim's Savings (Resp) will last less than 6 months

Step-by-step explanation for Kim:

January - June 2019

$14.50 + 30($0.25) = $22.00/hr

$22/hr x 15 hr x 4 wks x 6 months = $7920 Gross Income

Taxable Income is $7920 - $1188 = $6732    (Annual Income $13,464)

→ $7,920 -($1188 + $396 + $158.40 + $0 + $158.40) = $5,999.04 Net Income

Tech Fund (5%): $5999.04(0.05) = $299.95

Food Expense (30%): $5999.04(0.3) = $1,799.71

Clothing Expense (30%): $5999.04(0.3) = $1,799.71

Entertainment Expense (25%): $5999.04(0.25) = $1,499.76

Miscellaneous Expense (10%): $5999.04(0.1) = $599.90      

                                               Other Expenses: $5,699.08

July - December 2019 (excluding August)

$22/hr x 20 hr x 4 wks x 5 months + $200 = $6800 Gross Income

Taxable Income is $6800 - $1020 = $5780    (Annual Income $12,512)

→ $6,800 - ($1020 + $340 + $136 + $0 + $102.40) = $5,201.60 Net Income

Tech Fund (5%): $5201.60(0.05) = $260.08

Food Expense (30%): $5201.60(0.3) = $1,560.48

Clothing Expense (30%): $5201.60(0.3) = $1,560.48

Entertainment Expense (25%): $5201.60(0.25) = $1,300.40

Miscellaneous Expense (10%): $5201.60(0.1) = $520.16      

                                              Other Expenses: $4,941.52

January - June 2020

same as January - June 2019

July - December 2020 (excluding August)

same as July - December 2019

[tex]\boxed{\begin{array}{l|r|r|r|r||r}\underline{KIM}&\underline{Jan-Jun'19}&\underline{Jul-Dec'19}&\underline{Jan-Jun'20}&\underline{Jul-Dec'20}&\underline{Totals\quad }\\Gross&\$7920.00&\$6800.00&\$7920.00&\$6800.00&\$29440.00\\Resp&\$1188.00&\$1020.00&\$1188.00&\$1020.00&\$4416.00\\Net&\$5999.04&\$5201.60&\$5999.04&\$5201.60&\$22401.28\\Other&\$5699.08&\$4941.52&\$5699.08&\$4941.52&\$21281.20\\Tech&\$299.95&\$260.08&\$299.95&\$260.08&\$1120.06\end{array}}[/tex]

Answer:

300.8 degrees

Step-by-step explanation:

in a circle full angle is [tex]2\pi[/tex] radian

In degrees the value of angle is 360.

Thus

[tex]2\pi[/tex] radian is same as  360 degrees

thus

[tex]2\pi[/tex] radian= 360 degrees

dviding both side by  [tex]2\pi[/tex]

[tex]2\pi[/tex] / [tex]2\pi[/tex] radian= 360/[tex]2\pi[/tex] degrees

1 radian= 360/[tex]2\pi[/tex] degrees

multiply both side by 5.25

1*5.25 radian= (360/[tex]2\pi[/tex])  * 5.25 degrees

using value of  [tex]\pi[/tex] as 3.14 we have

5.25 radian= (360/2*3.14)  * 5.25 degrees  = 300.8 degrees

Answer:

12

Step-by-step explanation:

If you add the ratio you will get 8 and 1 in the ratio number represents

6 people so 5-3=2

Therefore, the no. of girls minus boys= 6×2=12

so you need 12 more boys to make it to be a ratio of 1:1