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2 years ago

5

Harry measures the big prize wheel on a game show and calculates that it has an area of 12.56 square yards. What is the prize wh

eel diameter?

1 answer:

Alex_Xolod [135]2 years ago

6 0

Answer:

The prize wheel diameter is 4.00 yards

Step-by-step explanation:

Area (A) = πd^2/4

πd^2 = 4A

d^2 = 4A/π

d (diameter) = √(4A/π)

A = 12.56 square yards, π = 3.142

d = √(4×12.56/3.142) = √15.99 = 4.00 yards

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What shape will result when you make a vertical cross section through the picture below?

Goryan [66]

Answer:

rectangle

Step-by-step explanation:

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2 years ago

The table shows the input and output of a function Table(input:3,4,6,11. Output:5,7,11,21) (a) Explain what makes this set of da

Maslowich

Answer:

(a) The data set is a function, since for each input value {3,4,6,11} there is a single output value {5,7,11,21}

(B) A function is a mathematical relationship that associates one or more inputs with a single output value. So that the data set is not a function, there should be - for one or more values of the input - more than one output.

for example, if for the input value {3} there were two outputs {5, -5} then, the data set would not be a function.

The frelation $y ^ 2 = x$ is not a function because:

When x = 1, y = +1 and y = -1.

(c) The set of data provided can be represented by the equation of a line of the form y = mx + b

The slope is:

$m=\frac{y_2-y_1}{x_2-x_1}$

$m =\frac{7-5}{4-3}$

m = 2

$b = y_1-mx_1$

b = 5 - 2*3

b = -1

Then, the function is:

y = 2x-1

You can substitute any of the points shown in the equation and check that equality is satisfied, for example:

(11 , 21)

y = 2 (11) -1

y = 22-1

y = 21. The equation is satisfied. The same goes for the rest of the values.

4 0

3 years ago

Item 1 A bag contains 7 blue cards, 4 green cards, 6 red cards, and 8 yellow cards. You randomly choose a card. a. How many poss

egoroff_w [7]

Answer:

4 possible outcomes

Step-by-step explanation:

we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.

The size of the sample space is the total number of possible outcomes

The event space is the number of outcomes in the event you are interested in.

so

Let

x------> size of the event space

y-----> size of the sample space

so

$P=\frac{x}{y}$

In this problem

<em>The probability of choose a blue card is </em>

$x=7$

$y=7+4+6+8=25$

substitute

$P=\frac{7}{25}$

<em>The probability of choose a green card is </em>

$x=4$

$y=7+4+6+8=25$

substitute

$P=\frac{4}{25}$

<em>The probability of choose a red card is </em>

$x=6$

$y=7+4+6+8=25$

substitute

$P=\frac{6}{25}$

<em>The probability of choose a yellow card is </em>

$x=8$

$y=7+4+6+8=25$

substitute

$P=\frac{8}{25}$

The sum of the probabilities of the 4 possible outcomes is equal to

$\frac{7}{25}+\frac{4}{25}+\frac{6}{25}+\frac{8}{25}=\frac{25}{25}$ ----> represent the 100%

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3 years ago

APUG: P(1, -3), U(1, 1) and GC-3, 1). A dilation with a scale factor of 2 centered

Novay_Z [31]

Answer:

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Step-by-step explanation:

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3 years ago

Explian GOLDEN RATION singinficane

Yuliya22 [10]

$\large\bold\blue{ANSWER:-}$

<em>Golden ratio, also known as the golden section, golden mean, or divine proportion, in mathematics, the irrational number (1 + Square root of√5)/2, often denoted by the Greek letter ϕ or τ, which is approximately equal to 1.618.</em>

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1 year ago