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3 years ago

If you make a circle and one part is 100 the other part is 120 what is the other part

Mathematics

1 answer:

drek231 [11]3 years ago

3 0

Answer:

140

Step-by-step explanation:

circle = 360°

360° - 120° - 100° = 140°

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I need help solving please

Harlamova29_29 [7]

Answer:

1/2

Step-by-step explanation:

Probability = Favorable outcomes / Total number of outcomes

=> Purple + Blue / Total

=> 6 + 4 / 20 (Because there are 6 purple and 4 blue and 10 green)

=> 10 / 20

=> 1/2

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5 0

3 years ago

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Create a matrix for this system of linear equations, The determinant of the coefficient matrix is

marin [14]

Answer: The determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.

Step-by-step explanation: The given system of linear equations is :

$2x+y+3z=13~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\x+2y=11~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)\\\\3x+z=10~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)$

We are given to find the determinant of the coefficient matrix and to find the values of x, y and z.

The determinant of the co-efficient matrix is given by

$D=\begin{vmatrix}2 & 1 & 3\\ 1 & 2 & 0\\ 3 & 0 & 1\end{vmatrix}=2(2-0)+1(0-1)+3(0-6)=4-1-18=-15.$

Now, from equations (ii) and (iii), we have

$x+2y=11~~~~~\Rightarrow y=\dfrac{11-x}{2}~~~~~~~~~~~~~~~~~~~~~~~~~~(iv)\\\\\\3x+z=10~~~~~~\Rightarrow z=10-3x~~~~~~~~~~~~~~~~~~~~~~~~~(v)$

Substituting the value of y and z from equations (iv) and (v) in equation (i), we get

$2x+y+3z=13\\\\\Rightarrow 2x+\dfrac{11-x}{2}+3(10-3x)=13\\\\\Rightarrow 4x+11-x+60-18x=26\\\\\Rightarrow -15x+71=26\\\\\Rightarrow -15x=26-71\\\\\Rightarrow -15x=-45\\\\\Rightarrow x=3.$

From equations (iv) and (v), we get

$y=\dfrac{11-3}{2}=4,\\\\z=10-3\times3=1.$

Thus, the determinant of the coefficient matrix is -15 and x = 3, y = 4, z = 1.

3 0

3 years ago

Estimate 5÷10/11 to the nearest whole number

4vir4ik [10]

Answer:

${ \tt{5 \div \frac{10}{11} }} \\ \\ \dashrightarrow \: { \tt{5 \times \frac{11}{10} }} \\ \\ \dashrightarrow \: { \tt{ \frac{55}{10} = 5.5}} \\ \\ \dashrightarrow \: { \boxed{ \tt{ 5 \div \frac{10}{11} \approx \: 6}}}$

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3 years ago

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3. In A PQR, MZP=(4x-5),

aleksklad [387]

Answer:

Step-by-step explanation:

The sum of all of them will result in 180. 15x-45=180. x=15. P=55, Q=70 and R=55. It's an isosceles triangle

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3 years ago

Two students in your class, Hunter and Maggie, are disputing a function. Hunter says that for the function, between x = −2 and x

dangina [55]

So basically, if it goes up then back down to the same level, the change is 0 since it is like, running 100 feet west, then running 100 feet east, you are at your original spot, your positino did not change

maggie is explaing what hunter is saying

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3 years ago

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If you make a circle and one part is 100 the other part is 120 what is the other part​

If you make a circle and one part is 100 the other part is 120 what is the other part