Between what two consecutive integers does the square root of 31 lie

What is 5.316 ÷ 1.942 (long divison)

Tamiku [17]

Answer:

$=2.73738$

Step-by-step explanation:

$\mathrm{Multiply\:the\:numerator\:and\:denominator\:by:}\:1000$

$\frac{5316}{1942}$

$\mathrm{Write\:the\:problem\:in\:long\:division\:format}$

$\begin{matrix}1942\overline{|\smallspace5316}\:\:\:\:\:\:\:\:\:\:\:\:\end{matrix}$

$\begin{matrix}\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\emptyspace2.\:\:\:\:\:\:\:\:\:\:\:\\ 1942\overline{|\smallspace5316.0}\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\underline{\emptyspace3\emptyspace8\emptyspace8\emptyspace4}\:\:\:\:\:\:\:\:\:\:\:\:\\ \:\:\:\:\:\:\:\:\:\:\emptyspace1\emptyspace4\emptyspace3\emptyspace2\emptyspace0\:\:\:\:\:\:\:\:\:\:\end{matrix}$

$=2.73738$

Hence, the correct answer is 2.73738

5 0

2 years ago

Read 2 more answers

The line / is tangent to the circle x^2+y^2=50 at the point A.

stiks02 [169]

Answer:

175 sq units

Step-by-step explanation:

The equation of the circle is

$x^2+y^2 = 50$

Tangent at point (1,7) will have slope equal to its derivative value

Differentiate to get

$2x+2yy1 = 0\\y1 = \frac{-x}{y} =\frac{-1}{7}$

Using point slope formula

$y-7 = \frac{-1}{7} (x-1)\\y = \frac{-1}{7}x+ \frac{50}{7}$

this line cuts x axis at (50,0) P

The triangle OAP has vertices equal to (0,0) (1,7) and (50,0)

The triangle has base as OP = 50 units

Height = distance of A from x axis = 7

Area = $\frac{1}{2} bh\\= 175$ sq units

4 0

3 years ago

Let line L1 be the graph of 5x + 8y = -9. Line L2 is perpendicular to line L1 and passes through the point (10,10). If line L2 i

AleksandrR [38]

Slope-Intercept Form: y = mx + b, with m = slope and b = y-intercept

So firstly, remember that perpendicular lines have slopes that are negative reciprocals to each other. To find the slope of L1, the easiest method is to convert it into slope-intercept form.

Firstly, subtract 5x on both sides of the equation: $8y=-5x-9$