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3 years ago

Simplify the expression c+5+10

Mathematics

1 answer:

Darina [25.2K]3 years ago

5 0

Answer:

c+15

Step-by-step explanation:

add the numbers c+15

c+15 is your answer.

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The teacher kept track of how long it took students to finish a test. After 20 minutes, 3 students had finished the test.

spin [16.1K]

Well I would say 11 kids after 70 minutes

5 0

3 years ago

Solve the system of linear equations for x and y.(cos θ)x + (sin θ)y=1(−sin θ)x + (cos θ)y = 0x=y=

lys-0071 [83]

Answer:

$\bold{x =cos\theta}\\\bold{y=sin\theta}$

Step-by-step explanation:

The given system of linear equations is:

$(cos\theta)x+(sin\theta)y=1\\(-sin\theta)x+(cos\theta)y=0$

We have to solve the equations for the values of $x, y$ .

Let us use elimination method in which we eliminate one of the variables from the two variables.

For this, let us multiply the first equation by $sin\theta$ and second equation by $cos\theta$

Now, the equations become:

$(cos\theta.sin\theta)x+(sin\theta.sin\theta)y=sin\theta\\\Rightarrow (cos\theta.sin\theta)x+(sin^2\theta)y=sin\theta ....... (1)\\\\(-sin\theta.cos\theta)x+(cos\theta.cos\theta)y=0\\\Rightarrow (-sin\theta.cos\theta)x+(cos^2\theta)y=0 ..... (2)$

Now, let us add (1) and (2):

$(sin^2\theta)y+(cos^2\theta)y=sin\theta\\\Rightarrow (sin^2\theta+cos^2\theta)y=sin\theta\\\Rightarrow (1)y=sin\theta\\\Rightarrow y = sin\theta$

Using the equation:

$(-sin\theta)x+(cos\theta)y=0$

Putting value of $y$ :

$\Rightarrow (-sin\theta)x+(cos\theta)sin\theta=0\\\Rightarrow (sin\theta)x=(cos\theta)sin\theta\\\Rightarrow x = cos\theta$

So, the answer to the system of linear equations is:

$\bold{x =cos\theta}\\\bold{y=sin\theta}$

7 0

2 years ago

Find slope <br> (3,8) and (7,-7)

Sidana [21]

Answer:

-15/4

Step-by-step explanation:

slope = change in y / change in x = (-7 - 8) / (7 - 3) = -15/4

8 0

3 years ago

This is a few questions that are confusing for me and I only have 22 points but if you help me and actually help instead of stea

neonofarm [45]

Answer:

n<1.3

Step-by-step explanation:

-2.5n+8.7>5.45

add -8.7 on both sides

-2.5n>-3.25

divide both sides by -2.5

n<1.3 (after division inequality sign changes)

answer of Q2 is -4 2/3

answer of Q3 is -2/9

answer of Q4 is -23/3

answer of Q5 is 2^2. 3^2.5

6 0

3 years ago

Use sigma notation to represent the sum of the first five terms of the following sequence. -5, -9.-13,

Delvig [45]

Answer:

$\sum -5-9-13-17-21$ =-65

Step-by-step explanation:

given nos -5,-9,-13,-17,-21

common difference=-4

given series are in arithmetic progression,

$\sum -5-9-13-17-21$ = $n\div 2\left \{ a+l \right \}$

where, n=5 , a=first term=-5 , l=last term=-21

$\sum -5-9-13-17-21$ = $5\div 2\left \{ -5-21\right \}$

$\sum -5-9-13-17-21$ = $5\div 2\left \{ -26\right \}$

$\sum -5-9-13-17-21$ =-65 answer

4 0

3 years ago