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inessss [21]
3 years ago
14

Will give u brainlist

Mathematics
1 answer:
dusya [7]3 years ago
5 0
The value of x equals 30.

Step by Step explanation:

All sides are equal so you know the angle lengths are equal. When you multiple 2x by 3 you get 6x. All angles of a triangle add up to 180 so you divide 180 by 6 and you get 30. Hope This Helps!
You might be interested in
What is the value of P(9.1)? What does it tell us about the side length and perimeter
nadya68 [22]

Answer:

the answer is 36.4

Step-by-step explanation:

you have to multiply it by 4 so it it will look like this 9.1*4=36.4

4 0
3 years ago
A farmer is building a new silo. The circular silo is 27 meters tall and has a radius of 14 meters. What is the area of the base
Aleks [24]

Answer:

<em>615.44m²</em>

Step-by-step explanation:

The base of the silo is a circle

Rea of the base of the silo = πr²

r is the radius of the silo

Given

radius r = 14m

Area of the base of the silo = π(14)²

Area of the base of the silo = 3.14(196)

Area of the base of the silo = 615.44

<em>Hence the area of the base of the silo is 615.44m²</em>

3 0
3 years ago
Find the characteristic polynomial of A. Use x for the variable in your polynomial.You do not need to factor your polynomial. A
Vesna [10]

Answer:  The required characteristic polynomial of the given matrix A is x^3+6x+11x+6=0.

Step-by-step explanation:  We are given to find the characteristic polynomial  of the following 3 × 3 matrix A  with unknown variable x :

A=\left[\begin{array}{ccc}0&0&1\\4&-3&4\\-2&0&-3\end{array}\right].

We know that

for any square matrix M, the characteristic polynomial is given by

|M-xI|=0, where I is an identity matrix of same order as M.

Therefore, the characteristic polynomial of matrix A is

|A-xI|=0\\\\\\\Rightarrow \left|\left[\begin{array}{ccc}0&0&1\\4&-3&4\\-2&0&-3\end{array}\right]-x\left[\begin{array}{ccc}1&0&0\\0&1&0\\0&0&1\end{array}\right]\right|=0\\\\\\\Rightarrow \left|\left[\begin{array}{ccc}-x&0&1\\4&-3-x&4\\-2&0&-3-x\end{array}\right] \right|=0\\\\\\\Rightarrow -x(3+x)^2+1(0-6-2x)=0\\\\\Rightarrow  (x+3)(-3x-x^2-2)=0\\\\\Rightarrow (x+3)(x^2+3x+2)=0\\\\\Rightarrow x^3+6x+11x+6=0.

Thus, the required characteristic polynomial of the given matrix A is x^3+6x+11x+6=0.

6 0
3 years ago
Which set of ordered pairs does not represent a function? \{(5, -9), (6, -6), (-3, 8), (9, -6)\}{(5,−9),(6,−6),(−3,8),(9,−6)} \{
Nady [450]

Answer:

\{(-6, -4), (4, -8), (-6, 9), (1, -3)\}

Step-by-step explanation:

Given

\{(5, -9), (6, -6), (-3, 8), (9, -6)\}

\{(-6, -4), (4, -8), (-6, 9), (1, -3)\}

\{(1, -1), (-5, 7), (4, -9), (-9, 7)\}

\{(8, -9), (-3, -6), (-4, 4), (1, -5)\}

Required

Which is not a function

An ordered pair is represented as:

\{(x_1,y_1),(x_2,y_2),(x_3,y_3),..........,(x_n,y_n)\}

However, for the ordered pair to be a function; all the x values must be unique (i.e. not repeated)

<em>From options (a) to (d), option (b) has -6 repeated twice. Hence, it is not a function.</em>

4 0
2 years ago
The amounts a soft drink machine is designed to dispense for each drink are normally​ distributed, with a mean of 11.711.7 fluid
dexar [7]

Answer:  0.1499

Step-by-step explanation:

Given : The amounts a soft drink machine is designed to dispense for each drink are normally​ distributed, with mean \mu=11.7\text{ fluid ounces}

Standard deviation : \sigma=0.2\text{ days}

z-score : z=\dfrac{X-\mu}{\sigma}

For X = 11.5  

z=\dfrac{11.5-11.7}{0.2}\approx-1

For X = 11.6  

z=\dfrac{11.6-11.7}{0.2}\approx-0.5

Now, the probability that the drink is between 11.511.5 and 11.611.6 fluid ounces will be :-

P(11.5

Hence, the probability that the drink is between 11.511.5 and 11.611.6 fluid ounces =0.1499

5 0
3 years ago
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