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3 years ago

Convert 75 degrees to radican measure

Mathematics

1 answer:

NeX [460]3 years ago

6 0

Answer:5π/12

Step-by-step explanation:

180°=π

75°=x

x=75π ➗ 180

x=5π/12

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How do you write y=-6/5x-7/5 in standard form

Anvisha [2.4K]

Y=-6/5x-7/5
You add it and move it to the other side
y+6/5x=-7/5
Multiply both sides by 5
5y+6x=-7
Rearrange
6x+5y=-7

8 0

2 years ago

5 - 2 (a + 3b) / 2 = ? / ?

Semmy [17]

Answer:

(5-2a+6b)/2

Step-by-step explanation:

According to PEMDAS, we would multiply 2 by (a+3b) first. This would equal 2a+6b. Since this is being subtracted from 5, the numerator would equal 5-2a+6b. This would bring the simplified answer to (5-2a+6b)/2

4 0

3 years ago

The measures of the angles of a convex polygon form an arithmetic sequence. The least measurement in the sequence is 128º. The g

Over [174]

$\bf \qquad \qquad \textit{sum of a finite arithmetic sequence}\\\\
S_n=\cfrac{n}{2}(a_1+a_n)\quad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\ a_n=n^{th}~value\\
----------\\
\stackrel{least}{a_1}=128\\\\
\stackrel{greatest}{a_n}=172
\end{cases}$

$\bf S_n=\cfrac{n}{2}(128~+~172)\implies S_n=\cfrac{n}{2}(300)\implies S_n=150n
\\\\\\
\textit{but we also know that sum of all interior angles is }180(n-2)
\\\\\\
\stackrel{\textit{sum of the angles}}{S_n}=\stackrel{\textit{sum of the angles}}{180(n-2)}=150n
\\\\\\
180n-360=150n\implies 30n=360\implies n=\cfrac{360}{30}\implies n=12$

7 0

2 years ago

Read 2 more answers

If a factor of a polynomial p(x)=2

Eduardwww [97]

Geometric figure is: line.

3 0

3 years ago

According to an NRF survey conducted by BIGresearch, the average family spends about $237 on electronics (computers, cell phones

schepotkina [342]

Answer:

7.64% probability that they spend less than $160 on back-to-college electronics

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 237, \sigma = 54$

Probability that they spend less than $160 on back-to-college electronics

This is the pvalue of Z when X = 160. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{160 - 237}{54}$

$Z = -1.43$

$Z = -1.43$ has a pvalue of 0.0763

7.64% probability that they spend less than $160 on back-to-college electronics

4 0

3 years ago