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3 years ago

What is 314.16 rounded to the nearest hundredth

1 answer:

4 0

Since there is no number in the thousandths place which would make the number in the hundredths place round up or down, we keep the number the same:

314.16

Hope it helps! Good luck. :)

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Find the distance between the two points in simplest radical form.<br> (-1,0) (8,-5)

ivanzaharov [21]

$~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-1}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{-5})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[8 - (-1)]^2 + [-5 - 0]^2}\implies d = \sqrt{(8+1)^2+(-5)^2} \\\\\\ d = \sqrt{81+25}\implies d = \sqrt{106}$

5 0

3 years ago

Can someone help me?

olya-2409 [2.1K]

All the properties of a parallelogram apply (the ones that matter here are parallel sides, opposite angles are congruent, and consecutive angles are supplementary).
All sides are congruent by definition.
The diagonals bisect the angles.

7 0

4 years ago

Small cubes with edge lenghts of 1/4 will be packed into the rectangular prism how many small cubes will be needed to completley

Olegator [25]

Answer:

9216

Step-by-step explanation:

number of small cubes that would fill the prism = volume of prism / volume of small cubes

volume of a prism = length x width x height

3 x 6 x 8 = 144

volume of cube = length³

(1/4)³ = 1/64

144 ÷ 1/64

144 x 64 = 9216

6 0

3 years ago

Find the indefinite integral by using the substitution x = 4 sec(θ). (Use C for the constant of integration.) x2 − 16 x d

guapka [62]

Answer:

$\frac{x^2-16}{2} + 16ln\frac{4}{x} +16C$

Step-by-step explanation:

Given the indefinite integral $\int\limits{\frac{x^2-16}{x} } \, dx$ , using the substitute

x = 4 sec(θ)...1

The integral can be calculated as thus;

First let us diffrentiate the substitute function with respect to θ

dx/dθ = 4secθtanθ

dx = 4secθtanθdθ... 2

Substituting equation 1 and 2 into the integral function we will have;

$\int\limits{\frac{(4sec \theta)^2-16}{4sec \theta} } \, 4sec \theta tan \theta d \theta\\\int\limits{\frac{16sec^2 \theta-16}{4sec \theta} } \, 4sec \theta tan \theta d \theta\\\int\limits{\frac{(16(sec^2 \theta-1)}{4sec \theta} } \, 4sec \theta tan \theta d \theta\\\\from \ trig \ identity,\ sec^2 \theta - 1 = tan^\theta\\\\\int\limits{\frac{16 tan^2 \theta}{4sec \theta} } \, 4sec \theta tan \theta d \theta\\\\\int\limits 16 tan^3 \theta d \theta\\\\$

Find the remaining solution in the attachment.

3 0

3 years ago

The students were asked how they get to school each day.

Mumz [18]

The answer is 5/13.

Walking(7) + Biking(3) = 10 students
10 students out of 26 total students = 10/26
Simplified is 5/13

6 0

3 years ago

Read 2 more answers