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pentagon [3]
3 years ago
5

If a 4 x 16 rectangle has the same area as a square, what is the length of a side of the square?

Mathematics
2 answers:
Dima020 [189]3 years ago
5 0
The length of a side of the square would be 8.
Sedbober [7]3 years ago
4 0
The length of the square is 8 hope this helps
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Find the value of sec(theta°)cos(theta°) for the following values of theta. <br> b. theta = 225
Nesterboy [21]

Answer:

sec(theta°)cos(theta°) = 1  

Step-by-step explanation:

given data

(theta°) = 225

to find out

sec(theta°)cos(theta°)

solution

as we know that given equation

(theta°) = 225

cos(theta°) will be

cos(225°) = -0.7071      .................................1

so we know

sec(theta°) = \frac{1}{cos(theta)}      ..............2

so put here value of cos(theta°)

sec(theta°) = \frac{1}{-0.7071}

sec(theta°) = - 1.4142

so

sec(theta°)cos(theta°) = -0.7071  × ( - 1.4142 )

sec(theta°)cos(theta°) = 1

so answer is sec(theta°)cos(theta°) = 1  

8 0
3 years ago
Find the probability of winning a lottery by selecting the correct six integers, where the order in which these inte
stich3 [128]

The probability of winning a lottery by selecting the correct six integers, are

\begin{aligned}&(a) 1.68 \times 10^{-6} \\&(b) 5.13 \times 10^{-7} \\& (c) 1.91 \times 10^{-7} \\&(d)8.15 \times 10^{-8}\end{aligned}

<h3>What is binomial distribution?</h3>

The binomial distribution is a type of probability distribution that expresses the probability that, given a certain set of characteristics or assumptions, a value would take one of two distinct values.

Part (a); positive integers not exceeding 30.

To calculate the probability, use binomial coefficients. Pick six of the six accurate integers and none of the other twenty-four.

\frac{\left(\begin{array}{c}6 \\6\end{array}\right)\left(\begin{array}{c}24 \\0\end{array}\right)}{\left(\begin{array}{c}30 \\6\end{array}\right)}=\frac{1}{\left(\begin{array}{c}30 \\6\end{array}\right)}=1.68 \times 10^{-6}

Part (b); positive integers not exceeding 36.

To calculate the probability, use binomial coefficients. Pick six of the six accurate integers and none of the other thirty.

\frac{\left(\begin{array}{l}6 \\6\end{array}\right)\left(\begin{array}{c}30 \\0\end{array}\right)}{\left(\begin{array}{c}36 \\6\end{array}\right)}=\frac{1}{\left(\begin{array}{c}36 \\6\end{array}\right)}=5.13 \times 10^{-7}

Part (c); positive integers not exceeding 42.

To calculate the probability, use binomial coefficients. Pick six of the six accurate integers and none of the 36 other integers.

\frac{\left(\begin{array}{l}6 \\6\end{array}\right)\left(\begin{array}{c}36 \\0\end{array}\right)}{\left(\begin{array}{c}42 \\6\end{array}\right)}=\frac{1}{\left(\begin{array}{c}42 \\6\end{array}\right)}=1.91 \times 10^{-7}

Part (d); positive integers not exceeding 48.

To calculate the probability, use binomial coefficients. Choose six of the six accurate integers and none of the other 42.

\frac{\left(\begin{array}{l}6 \\6\end{array}\right)\left(\begin{array}{c}42 \\0\end{array}\right)}{\left(\begin{array}{c}48 \\6\end{array}\right)}=\frac{1}{\left(\begin{array}{c}48 \\6\end{array}\right)}=8.15 \times 10^{-8}

To know more about binomial probability, here

brainly.com/question/9325204

#SPJ4

The complete question is-

Find the probability of winning a lottery by selecting the correct six integers, where the order in which these integers are selected does not matter, from the positive integers not exceeding a) 30. b) 36. c) 42. d) 48.

5 0
2 years ago
What is the measure of angle Z?
Alexeev081 [22]

Answer:

hmm

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Find the solution to the syster<br> y = 2x = 5<br> y = X - 2
lana66690 [7]

Answer:

Both of these equations are in slope-intercept form. The slope-intercept form of a linear equation is: y=mx+b

Where m is the y-intercept value.

y=-2x+5

y=-2x+20

The slope of the two equations are: m1=−2 and m2=−2

Step-by-step explanation:

Because the have the same slope it means the lines represented by these two equations are either parallel or are the same line.

The y-intercepts for the two lines are:b1 = 5 and b1=20

3 0
3 years ago
millie needs the average height of the plants she is buying to be at least 73 inches. she has selected three plants that are 70,
Igoryamba
We are given with:
Average height of plants to be at least 73 inches

Three plants with heights of
70, 71, 72

The inequality that can be used to determine the possible heights of the fourth plant is:
(70 + 71 + 72 + x) / 4 ≥ 73
Solving for x
x ≥ 79
4 0
3 years ago
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