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e-lub [12.9K]
3 years ago
7

Can someone please answer and explain to me

Mathematics
2 answers:
Eddi Din [679]3 years ago
5 0

Answer:

30 degrees   i hope this helps!   :)

Step-by-step explanation:

measure of angle Q is 90 degrees

measure of angle R is 60 degrees

measure of angle S is 30 degrees

side RQ is 1 unit

side RS is 2 units

side SQ is 1.732 units

Right Scalene Triangle

Side a = 1

Side b = 1.73205 = √3

Side c = 2

Angle ∠A = 30° = 0.5236 rad = π/6

Angle ∠B = 60° = 1.0472 rad = π/3

Angle ∠C = 90° = 1.5708 rad = π/2

C=90°B=60°A=30°b=1.732a=1c=2

Area = 0.86603

Perimeter p = 4.73205

Semiperimeter s = 2.36603

gtnhenbr [62]3 years ago
3 0

Answer:

30 degrees

Step-by-step explanation:

USE the sine function to determine S. Set up the equation:

sine(S) = 1/2 -->

S = Sine^-1(1/2) -->

S = 30 degrees

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Given that f:x→ax+b and f²:x→4x+9, find the value of the constants a and b​
zimovet [89]

Answer:

Step-by-step explanation:  

hello :

ax+b =4x+9     so a=4 and b=9

4 0
3 years ago
The weekly salary of a store manager includes a $30 bonus plus the number of hours the manager works multiplied by the managers
gizmo_the_mogwai [7]

Yes. The situation is defined by a linear function.

<u>Solution:</u>

Given, The weekly salary of a store manager includes a $30 bonus plus the number of hours the manager works multiplied by the managers earnings per hour.  

Is this situation defined by a linear function?

Yes, the above given situation is defined by a linear function.

Now, let us see the linear equation for above situation

Let the number of hours worked by manager be "x", and cost per hour be "c" and total salary be "y"

Then, total salary is given as,

Total salary = $ 30 bonus + number of hours worked \times cost per hour

\rightarrow \mathrm{y}=30+\mathrm{x} \times \mathrm{c}\\\\ \rightarrow \mathrm{y}=\mathrm{c} \mathrm{x}+30

Above equation is a linear equation as "c" is constant ( cost per hour )

Hence, the given situation can be defined by linear function.

5 0
3 years ago
Find 5 rational numbers between -3 and -4
allsm [11]

Answer:

-3.2, -3.4, -3.6, -3.8, -3.9

Step-by-step explanation:

<em>Hey there!</em>

<em />

Well rational numbers can be a decimal as long as it can be turned into a fraction, meaning 3.5 is a rational number.

So rational numbers between -3 and -4 are,

-3.2, -3.4, -3.6, -3.8, -3.9

<em>Hope this helps :)</em>

6 0
3 years ago
Read 2 more answers
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5.12% means

5.12/100 = 0.0512 (each year)

PreOwned Vehicle Cost = 31,100

For 5 years simple interest, the value would be:

31100 * 0.0512 * 5 = $7961.6

Total have to pay: 31,100 + 7961.6 = $39,061.6

4 0
1 year ago
The random variable x has the following probability distribution: x f(x) 0 .25 1 .20 2 .15 3 .30 4 .10 a. Is this probability di
Reptile [31]

Answer and Explanation:

Given : The random variable x has the following probability distribution.

To find :

a. Is this probability distribution valid? Explain and list the requirements for a valid probability distribution.

b. Calculate the expected value of x.

c. Calculate the variance of x.

d. Calculate the standard deviation of x.

Solution :

First we create the table as per requirements,

x      P(x)         xP(x)           x²            x²P(x)

0    0.25           0               0                0

1     0.20        0.20             1              0.20

2    0.15          0.3               4             0.6

3    0.30         0.9               9             2.7

4    0.10          0.4               16             1.6

   ∑P(x)=1     ∑xP(x)=1.8               ∑x²P(x)=5.1

a) To determine that table shows a probability distribution we add up all five probabilities if the sum is 1 then it is a valid distribution.

\sum P(X)=0.25+0.20+0.15+0.30+0.10

\sum P(X)=1

Yes it is a probability distribution.

b) The expected value of x is defined as

E(x)=\sum xP(x)=1.8

c) The variance of x is defined as

V=\sum x^2P(x)-(\sum xP(x))^2\\V=5.1-(1.8)^2\\V=5.1-3.24\\V=1.86

d) The standard deviation of x is  defined as

\sigma=\sqrt{V}

\sigma=\sqrt{1.86}

\sigma=1.136

5 0
2 years ago
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