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3 years ago

What is the value of b? A right triangle with an angle measure of fifty-one degrees and an unknown angle measure, b degrees.

2 answers:

8 0

A triangle will have a total of 180 degrees.

Since it is a right triangle, we know that one angle is 90 degrees. We also know that one of the other angles is 51.

90 + 51 + x = 180
141 + x = 180

Subtract 141 on both sides.

x = 180 - 41
x = 39

The value of b is 39 degrees.

lozanna [386]3 years ago

3 0

90 + 51 = ?

90 + 51 = 141

180 - 141 = 39

Answer: B = 39 degrees

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James and Eric each mix 6 pitchers of lemonade. James makes 26 fluid Ounces of lemonade per pitcher, and Eric makes 32 fluid Oun

ExtremeBDS [4]

Soo I’m in middle school so sorry

7 0

3 years ago

Suppose the number of free throws in a basketball game by one player are normally distributed with a standard deviation 0.97 fre

babunello [35]

Answer: 1.960

Step-by-step explanation:

The value of z we use to calculate a confidence interval with a ( $1-\alpha$ ) confidence level is a two-tailed test value i.e. represented by :-

$z_{\alpha/2}$

Given : The level of confidence: $1-\alpha=0.95$

Then, significance level : $\alpha: 1-0.95=0.05$

With the help of standard normal distribution table for z , we have

$z_{\alpha/2}=z_{0.05/2}=z_{0.025}=1.960$

Hence, the value of z should be used to calculate a confidence interval with a 95% confidence level =1.960

3 0

3 years ago

Linear Algebra: Permutation Matrices Let M be the matrix {{0,0,0,1,0}, {0,0,1,0,0}, {0,1,0,0,0}, {0,0,0,0,1}{1,0,0,0,0}}. What i

FromTheMoon [43]

Multiplying M by any matrix A would return new matrix, B, in which

• the 1st row of B is equal to the 4th row of A,

• the 2nd row of B is equal to the 3rd row of A,

• the 3rd row of B is equal to the 2nd row of A,

• the 4th row of B is equal to the 5th row of A, and

• the 5th row of B is equal to the 1st row of A.

The pattern here is

1 => 4 => 5 => 1

2 => 3 => 2

Let {4, 3, 2, 5, 1} denote the matrix M, where each number refers to the row of the identity matrix, I.

Using this notation, the pattern above gives

M² = {5, 2, 3, 1, 4}

M³ = {1, 3, 2, 4, 5}

M⁴ = {4, 2, 3, 5, 1}

M⁵ = {5, 3, 2, 1, 4}

M⁶ = {1, 2, 3, 4, 5}

so that n = 6.

(Notice that the first cycle has length 3 and the second one has length 2; the minimum n needed here is then LCM(2, 3) = 6.)

6 0

2 years ago

Subtract (8x + 9) - (6x - 1)

il63 [147K]

Answer:

=2x+10

Step-by-step explanation:

Let's simplify step-by-step.

8x+9−(6x−1)

Distribute the Negative Sign:

=8x+9+−1(6x−1)

=8x+9+−1(6x)+(−1)(−1)

=8x+9+−6x+1

Combine Like Terms:

=8x+9+−6x+1

=(8x+−6x)+(9+1)

=2x+10

Answer:

=2x+10

7 0

3 years ago

Ines has saved $5. She doubles the amount she saves each week. Does the function have a constant difference or a constant ratio?

salantis [7]

Answer:

The function have a constant ratio

No, it does not represent an exponential function.

Step-by-step explanation:

As given,

Ines has saved $5. She doubles the amount she saves each week.

⇒ In first week she saved = $5

In second week she saved = 2×$5 = $10

In third week she saved = 2×$10 = 20

In fourth week she saved = 2×$20 = 40

and so on..

∴ we get the series

5, 10, 20, 40 ,.......

If the series is given as a, b, c, d, ..... , then

The common difference is defined as d = b-a = c-b

The common ration is defined as r = $\frac{b}{a} = \frac{c}{b}$

Here, in the given question

The series is - 5, 10, 20, 40

This has no common difference , d = 10 - 5 (= 5 )≠ 20 - 10 (= 10)

As 5 ≠ 10

So the function does not define common difference .

Now,

This has common ratio , r = $\frac{10}{5} (=2) = \frac{20}{10}(=2)$

As 2 = 2

So, the function represent common ratio

Now,

The function does not represent an exponential function because it is increased by common ratio.

7 0

2 years ago