Measurements of a circle

Answer:

5 cm

Step-by-step explanation:

[tex]Perimeter of semicircle = \frac{1}{2} \times 2\pi \: x +2x\\ 25.71 = 3.14 2\times x+ 2x\\ 25.71 = 5.14 2 x\\ x = \frac{25.71}{5.142} \\ x = 5 \: cm[/tex]

Hello there!

1. The theoretical possibility of spinning every number out of the 200 spins is approximately to the nearest whole number: 16 times. We found that by dividing 200 by 12 to see how many of each number could fit in 200. 200 divided by 12 equals 16.666 but we can't spin a number 16.6 times so we have to round it to the nearest whole number that stays in the range of 200.

2.

i. The experimental probability of spinning a 1 is 20/200 or 1/10.

ii. The experimental probability of spinning an 8 is 30/200 or 3/20.

iii.  The experimental probability of spinning an 11 is 2/200 or 1/100.

3.  The numbers on the spinner that has a greater experimental probability than the theoretical probability is: 1,2,5,6,8, and 9.

Experimental probabilities:

2: 18/200 or 9/100

5:  17/200

6:  26/200 or 13/100

9:  18/200 or 9/100

Answer: there is 25 in total

Answer:

25

Step-by-step explanation:

3/5 of the list is 15

So the whole list, by proportion, is 15 * 5/3

= 5 * 5

= 25.

Answer:

27 widgets

Step-by-step explanation:

25÷100=0.25=1%

0.25×8=2=8%

25+2=17

Answer:

Step-by-step explanation:

18 – 21 ft.

Answer:

Step-by-step explanation:

If the product of two binomials, u(x) and v(x)has a binomial of degree 8, then the individual binomial will have a binomial of degree 4. For example, lets assume u(x) = ax⁴ + bx and v(x) ax⁴+cx. Note that they are both functions of x and contain only two terms since they are binomial.

Taking their product we have;

u(x)*v(x) =  (ax⁴ + bx)*(ax⁴+cx)

u(x)*v(x) = a²x⁸+acx⁵+abx⁵+bcx²

it can be seen that the higest power of x is 8 which gives the degree of the product.

Taking their sum;

u(x)+v(x) =   (ax⁴ + bx)+(ax⁴+cx)

u(x)+v(x) = ax⁴ + ax⁴+ bx +cx

u(x)+v(x)  = 2ax⁴ + bx +cx

It can be seen that the digest power of x is 4 which gives the degree of the sum of the binomial.

From the above conclusion, it can be inferred that  sum of u(x) and v(x) is a binomial of degree 4 with a positive or negative leading coefficient depending on the value of the constant 'a'

Answer:  The box measurements are as follows: Box A: height = 5 inches, length = 18 inches, width = 10. Box B: height = 8 inches, length = 10 inches, ..

Step-by-step explanation:

Answer:

$ 2.55 or less

Step-by-step explanation:

We have if they buy 6 cans of corn and 2 boxes of pasta are priced at $ 15.75 or less, they also tell us that the price of a can of corn is $ 0.50 + half the price of a box of pasta. Let's formulate the equation, let "x" be the cost of the can of corn and "y" be the cost of the box of pasta.

6 * x + 2 * y <= 15.75

x = 0.5 + y / 2

replacing:

6 * (0.5 + y / 2) + 2 * y <= 15.75

3 + 3 * y + 2 * y <= 15.75

5 * and <= 15.75-3

y <= 12.75 / 5

y <= 2.55

replacing in x:

x = 0.5 + 2.55 / 2 = 1.775

Which means that the price of a can of corn is $ 1,775 and for the box of pasta it is $ 2.55 or less.

Answer:

The answer is 2.55

Step-by-step explanation:

hope this helps

Answer: [tex]1460.96ft^3[/tex]

Step-by-step explanation:

You have a cylinder and a cuboid. Find each of these figures' volume individually and add them together.

Cylinder:

height = 4ft

radius = 4ft

[tex]Formula: V=\pi r^2h[/tex]

[tex]V=(3.14)(4ft)^2(4ft)\\V=(3.14)(16ft^2)(4ft)\\V=(3.14)(64ft^3)\\V=200.96ft^3[/tex]

---------------------------------------------------------------------------------------------------

Cuboid:

[tex]Formula: V = l*w*h[/tex]

[tex]V=(15ft)(7ft)(12ft)\\V=1260ft^3[/tex]

------------------------------------------------------------------------------------------------------

Add these two volumes together.

[tex]200.96ft^3+1260ft^3=1460.96ft^3[/tex]

Answer:

y = -5x + 35

Step-by-step explanation:

You have two points: (0, 35) and (7, 0).

The slope is [tex]\frac{0-35}{7-0}=-5[/tex]

The y intercept is 35.

y = -5x + 35

Answer

Step-by-step explanat

Answer:

3:50 P.M.

Step-by-step explanation: 3 * 10 = 30 minutes

4:20 - 30 = 3:50

Answer:

251.2 units³ ; 80π units³

Step-by-step explanation:

Volume of a Cylinder is: [tex]V=\pi r^2 h[/tex]

'r' is the radius.

'h' is he height.  

The cylinder has a base radius of 4 units and the height 5 units.

[tex]V=3.14*4^2*5\\V=3.14*16*5\\V= 50.24 * 5\\\boxed {V=251.2}[/tex]

The approximate volume is 251.2 units³.

[tex]V=\pi 4^2*5\\\rightarrow 4^2=16\\V=\pi 16*5\\V=\pi 80\\\boxed {V=80\pi}[/tex]

The exact volume is 80π units³.

Answer:

The answer is D.

Step-by-step explanation:

Edge

Steps to solve:

x - 1 ≥ 8

~Add 1 to both sides

x - 1 + 1 ≥ 8 + 1

~Simplify

x ≥ 9

Best of Luck!

Answer: 1/35

Step-by-step explanation:

From the question, in a group that has 35 pupils, 11 of the pupils play flute only, 8 play the piano only and 15 play neither instrument.

The probability that a student plays both instruments will be:

Since a third instrument is not mentioned, P(a randomly selected student plays the flute and the piano)

35-15=20,

This is the total students minus the students that play neither instruments.

We then subtract those that play flute only and those that plays piano only from 20. This will be:

20-11-8 = 1

Probability (a student plays both instrument) = 1/35

Answer:

the Answer is D just got it right hope this help you

Step-by-step explanation:

The 4th figure is the correct option, i.e. triangle H J K, in which lines are drawn from each point to the opposite side to form right angles and the lines intersect at point G with G is an orthocentre.

The orthocenter denotes the intersection of all right angles extending from the vertices to the opposite sides, i.e. the altitudes. The term ortho means "right," and it is defined as the point at which three altitudes are drawn from the three vertices of a triangle intersect.

From the definition, it is clear that the lines must make right angles and intersect at G. The first three figures do not meet the criteria of orthocentre.

Therefore the 4th figure is the correct option, i.e. triangle H J K, in which lines are drawn from each point to the opposite side to form right angles and the lines intersect at point G with G is an orthocentre.

Learn more about orthocentre here -

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Answer:

2 2/5 miles^2

Step-by-step explanation:

For this you have to times the mixed fractions

So....

1 1/5 x 1 1/5

Rewrite it as this 1 + 1/5 + 1 + 1/5

Add the two whole numbers:

1 + 1 = 2

Now the fractions:

1/5 + 1/5 = 2/5

Then:

2 + 2/5 = 2 2/5

Answer:

[tex] m\angle BOA = 80\degree[/tex]

Step-by-step explanation:

PA and PB are tangents to the circle with center O at points A and B respectively.

[tex]\therefore OA \perp PA\:\: \& OB \perp PB....(\because tangent\perp radius)\\\therefore m\angle OAP=m\angle OBP = 90\degree\\m\angle APB = 100\degree\\OAPB \: is \: a\: quadrilateral\\\therefore m\angle APB+m\angle OAP+m\angle OBP+m\angle BOA = 360\degree\\\therefore 100\degree + 90\degree+ 90\degree+ m\angle BOA = 360\degree\\\therefore 280\degree + m\angle BOA = 360\degree\\\therefore m\angle BOA = 360\degree-280\degree \\\huge\red{\boxed{\therefore m\angle BOA = 80\degree}}[/tex]

Answer:

Step-by-step explanation:

Given the sets of side lengths of a triangle:

To verify whether each set of side lengths could be the sides of a right triangle, we use the Pythagorean Theorem. Note that the longest side is always taken as the hypotenuse.

In the set of side lengths 10.5 cm, 20.8 cm, 23.3 cm

[tex]23.3^2=20.8^2+10.5^2\\542.89=432.64+110.25\\542.89=542.89[/tex]

Clearly these satisfies the required theorem and thus are side lengths of a right triangle.

In the set of side lengths 6 cm, 22.9 cm, 20.1 cm

[tex]22.9^2=20.1^2+6^2\\524.41\neq 440.01[/tex]

Clearly these does not satisfy the required theorem and thus are not side lengths of a right triangle.

Hello there!

Using the given exponential function of y = 64(0.97)^x, we can tell that it is a decaying exponential function since the rate is less than 1.

The percent of decrease is 3% since 97% of the value is retained per x time.

Answer:

C, I believe!

The functions shows the absolute value parent function, F(x) = |x|, vertically stretched is C. G(x) = |x + 14|

The absolute value function is defined by the following piecewise rule, depending on the input of the function:

|x| = x, x ≥ 0.

|x| = -x, x < 0.

This can be measures the distance of a point x to the origin, hence, for example, |-2| = |2| = 0, and has vertex(turning point) at (0,0). The range is from the y-coordinate of the vertex to positive infinity.

Vertex (2, 0), Range: {y | 0 ≤ y < ∞}

The parent absolute value function is F(x) = |x|,

If this function is stretched vertically, then the stretched function is of the form.

G(x) = |x + a|

where 0<a<1

Therefore the correct option is C. G(x) = |x + 14|

More can be learned about functions a;

brainly.com/question/24808124

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Answer:

mode is 6

Step-by-step explanation:

it appears four times whereas no other number appears more than three times

Answer:

Length of the shorter diagonal is 8.68 cm.

Step-by-step explanation:

Length of the side AB = 11 cm

Length of side BC = 5 cm

Angle between these sides, m∠ABC = 50°

By cosine rule in ΔABC,

AC² = AB² + BC² - 2AB.BC.cos B

AC² = (11)² + 5² - 2(11)(5)cos50°

AC² = 121 + 25 - 70.71

AC = √(75.29)

AC = 8.68 cm

By the property of parallelogram,

m∠B + m∠C = 180° [Interior consecutive angles]

50° + m∠C = 180°

m∠C = 130°

Similarly, In ΔBCD,

BD² = BC² + CD² - 2BC.CD.cos130°

BD² = (5)² + (11)² - 2(5)(11)cos130°

BD² = 25 + 121 + 70.71

BD² = 216.71

BD = 14.72 cm

Therefore, length of the shorter diagonal will be 14.72 cm.

If a number is multiplied by 1/2, this means that it strinks 2 times.

For example, we have the radius of 4.

If multipled by 1/2, we get 2.

So, the radius is now 2 times smaller than the original radius.

So, the radius of the sphere will be 2 times smaller than what it originally was.

Best of Luck!

Answers and Step-by-step explanations:

(a)

We need to figure out the amount (or total cost) for each size candy given that they sell a certain number of each box. For the small box, we're given the cost is $4.70, while the large box is $7.00.

We buy x of the small box, so the total amount should be 4.70 * x, or just 4.70x. We buy y of the large box, so the total amount should be 7.00 * y, or just 7y.

So on the table, the top value should be 4.70x, and the bottom value should be 7y.

(b)

The total number of boxes sold was 45 boxes. Remember that x boxes were small and y boxes were large. Since the number of small boxes plus the number of large boxes is equal to the total of 45, we can write:

x + y = 45

(c)

The total cost was $269, so we can write this as the sum of the amounts that we found in part (a):

4.70x + 7y = 269

Answer:

The probability is 1/2 because 3/6 numbers are even.

Step-by-step explanation:

Answer:

start root 1.5 EndRoot

Answer:

d

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

correct me if I'm wrong

But i believe adding up the sides will give you 30

Answer:

23.6

Step-by-step explanation:

23.6