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3 years ago

(10-4)+20 divided by 10?

Mathematics

1 answer:

Luba_88 [7]3 years ago

6 0

Answer:

Step-by-step explanation:

(10-4)+20/20

6+20/10

6+2

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Solve the following simultaneous equation using either the substitution method or the elimination method, showing all the necess

slavikrds [6]

Answer:

$x=1\frac{83}{91}\\y=-2\frac{73}{91}$

Step-by-step explanation:

#Using the method of substitution and replacement of unknown values.

Given that

$\frac{3}{2}x+\frac{2}{3}y=1...(i)\\and\\\frac{1}{6}x-\frac{3}{5}y=2...(ii)\\$

Express eqtn (ii) in terms of x

$\frac{1}{6}x=2+\frac{3}{5}y\\x=12+\frac{18}{5}y$

Replacing for x in eqtn (i)

$\frac{3}{2}(12+\frac{18}{5}y)+\frac{2}{3}y=1\\18+\frac{27}{5}y+\frac{2}{3}y=1\\18-1=-\frac{91}{15}y\\y=-2\frac{73}{91}$

Substitute y value in eqtn(ii) to obtain x

$Y=-2\frac{73}{91}\\\frac{1}{6}x-\frac{3}{5}y=2\\x=2+\frac{3}{5}(-2\frac{73}{91})\\x=1\frac{83}{91}$

4 0

3 years ago

(-2/3, sqrt5/3) is a point on a unit circle. Find the cosine, cosecant, and sine of the angle.

Nana76 [90]

Look at the picture.

$\csc\theta=\dfrac{1}{\sin\theta}=\dfrac{1}{\frac{y}{r}}=\dfrac{r}{y}$

We have the right triangle x, y and r. From the Pythagorean theorem we have:

$r^2=x^2+y^2\to r=\sqrt{x^2+y^2}$

We have the point

$\left(-\dfrac{2}{3};\ \dfrac{\sqrt5}{3}\right)$

Substitute:

$r=\sqrt{\left(-\dfrac{2}{3}\right)^2+\left(\dfrac{\sqrt5}{3}\right)^2}\\\\r=\sqrt{\dfrac{4}{9}+\dfrac{5}{9}}\\\\r=\sqrt{\dfrac{9}{9}}\\\\r=1$

$\csc\theta=\dfrac{1}{\frac{\sqrt5}{3}}=\dfrac{3}{\sqrt5}=\dfrac{3\cdot\sqrt5}{\sqrt5\cdot\sqrt5}=\boxed{\dfrac{3\sqrt5}{5}}$

8 0

3 years ago

Find the slope of the line that passses thruogh 1,5 and 10,9

vichka [17]

Answer: The slope is 4/9 or -4/-9.

Step-by-step explanation:

(1,5)

(10,9) Find the difference in the y values and divide it by the difference in the x values.

5-9= -4

1- 10= -9

-4/-9= 4/9

so the slope is 4/9

Using the slope we could also find the y-intercept and write the equation.

5=4/9 (1) + b where b is the y-intercept

5= 4/9 + b

-4/9 -4/9

b= 41/9

Now we will have the equation y= 4/9 + 41/9

4 0

3 years ago

What is the b in this math question -17+b/8=1

brilliants [131]

Are you supposed to find B?

5 0

3 years ago

The probability of a spinner landing on a 6 is 2/7 . What is the probability that the spinner will land on a number other than 6

Anton [14]

This is really simple. We know that landing a 6 is a 2/7 chance that means there is a 5/7 chance of NOT landing a 6 which means that the probability of landing a number that is not 6 would be 5/7. Your answer is D.) 5/7

5 0

3 years ago

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