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3 years ago

What is the lateral surface area?

1 answer:

5 0

The first time in a year I have been to a couple years of the whole year of my life I cant it and my family is very very happy and i love

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LIEDUMICIS.ISLIULIULUI marks 4 1 point → An archer shoots an arrow into the air. The equation that describes the path of the arr

elena55 [62]

the arrow touches the ground when the heigth is 0

so we need to replace h=0 and solve for t

$\begin{gathered} h=17t-5t^2 \\ 0=17t-5t^2 \\ 0=t(17-5t) \\ 0=17-5t \\ 5t=17 \\ t=\frac{17}{5}=3.4 \end{gathered}$

the arrow tuches the ground at 3.4 seconds

$F=m\times a$

replacing

$185=m\times13.7$

solve for m

$\begin{gathered} m=\frac{185}{13.7} \\ \\ m=13.50 \end{gathered}$

the mass is 13.50Kg

4 0

1 year ago

D2 =81-1 find the positive value of d that makes the equation true

Lubov Fominskaja [6]

81-1= 80
80 / 2 = 40
D = 40
So:
40(2) = 81 - 1

4 0

3 years ago

Solve 7(x+1) + 2(3x-1) = 15

Debora [2.8K]

Answer:

what is x worth?

Step-by-step explanation:

3 0

3 years ago

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PLEASEEEEEE HELP IM BEGGING SOMEONE PLEASEEEEE HELPPPPPPPPPPPPPP

melisa1 [442]

Answer:

1.105°

angle relationship=vertical angles

2.112°

angle relationship=interior angles

Step-by-step explanation:

1.180-75=105

2.180-68=112

#Carry on Learning

6 0

3 years ago

Which classification best describes the following system of equations?

wolverine [178]

The given system of equations is consistent and independent so, $\fbox{\begin\\\ \bf option (3)\\\end{minispace}}$ is correct.

Further explanation:

A system of equations is said to be a consistent system if the solution exists and if the solution does not exist then it is an inconsistent system.

If a consistent system has a unique solution then it is an independent system of equations but if the number of solutions is infinite then it is a dependent system of equations.

Label the given equations as shown below:

$\boxed{x-2y+4z=3}$ …… (1)

$\boxed{12x+5y-3z=36}$ …… (2)

$\boxed{9x-10y+5z=27}$ …… (3)

The augmented matrix for the above equations is, as follows:

$\left[\begin{array}{ccc}1&-2&4\\12&5&-3\\9&-10&5\end{array}\Biggm\vert\begin{array}{c}3\\26\\27\end{array}\right]$

Apply row transformation $R_{2}\rightarrow R_{2}-12R_{1}$ and $R_{3}\rightarrow R_{3}-9R_{1}$ as,

$\left[\begin{array}{ccc}1&-2&4\\0&29&-51\\0&8&-31\end{array}\Biggm\vert\begin{array}{c}3\\0\\0\end{array}\right]$

Now, apply row transformation $R_{2}\rightarrow R_{2}-4R_{3}$ and $R_{3}\rightarrow R_{3}-3R_{2}$ as,

$\left[\begin{array}{ccc}1&-2&4\\0&-3&73\\0&-1&188\end{array}\Biggm\vert\begin{array}{c}3\\0\\0\end{array}\right]$

Now, apply row transformations $R_{2}\rightarrow -R_{2}+2R_{3}$ and $R_{3}\rightarrow R_{3}+R_{2}$ as,

$\left[\begin{array}{ccc}1&-2&4\\0&1&303\\0&0&491\end{array}\Biggm\vert\begin{array}{c}3\\0\\0\end{array}\right]$

The equations obtained from the above augmented matrix are,

$\begin{aligned}x-2y+4z&=3\\y+303z&=0\\491z&=0\end{aligned}$

The first equation is simplified to obtain the value of z as,

$\begin{aligned}491z&=0\\z&=0\end{aligned}$

Substitute $0$ for $z$ in the equation $y+303z=0$ to obtain the value of $y$ as,

$\begin{aligned}y+(303\cdot0)&=0\\y&=0\end{aligned}$

Now, substitute $0$ for $z$ and $0$ for $y$ in the equation $x-2y+4z=3$ to obtain the value of $x$ as,

$\begin{aligned}x-(2\cdot0)+(4\cdot0)&=3\\x&=3\end{aligned}$

Therefore, the value of $x$ is $3$ , the value of $y$ is $0$ and the value of $z$ is $0$ and the system has a unique solution.

Thus, the given system of equations is consistent and independent.

Option (1)

Here, the first option is inconsistent and dependent.

There exists a solution of the given system of equations so it is consistent.

Therefore, option (1) is incorrect.

Option (2)

Here, the second option is consistent and dependent.

There exists a solution of the given system of equations so it is consistent.

Also, the solution is unique therefore the system of equations is independent.

Therefore, option (2) is incorrect.

Option (3)

Here, the third option is consistent and independent.

There exists a solution of the given system of equations so it is consistent.

Also, the solution is unique therefore the system of equations is independent.

Therefore, option (3) is correct.

Option (4)

Here, the fourth option is inconsistent and independent.

There exists a solution of the given system of equations so it is consistent.

Therefore, option (4) is incorrect.

Learn more:

1. A problem on circle brainly.com/question/9510228.

2. A problem on general equation of a circle brainly.com/question/1506955.

Answer details

Grade: High school

Subject: Mathematics

Chapter: System of linear equations

Keywords: Equations, unique solution, independent, dependent, consistent, inconsistent, infinite solutions, homogeneous equation, non- homogeneous equation, determinant.

5 0

3 years ago

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