3 years ago

Find the surface area and volume of the triangular prism with the given measurements

Mathematics

1 answer:

meriva3 years ago

7 0

Is the base square or rectangle?

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Use linear approximation, i.e. the tangent line, to approximate √ 16.2 as follows: Let f ( x ) = √ x . Find the equation of the

Dvinal [7]

The linear approximation to $f(x)$ near $x=16$ is

$L(x)=f(16)+f'(16)(x-16)$

We have

$f(x)=\sqrt x\implies f(16)=4$

$f'(x)=\dfrac1{2\sqrt x}\implies f'(16)=\dfrac18$

$\implies L(x)=4+\dfrac18(x-16)=\dfrac x8+2$

Then

$f(16.2)\approx L(16.2)\iff\sqrt{16.2}\approx\dfrac{16.2}8+2$

$\implies\boxed{\sqrt{16.2}\approx4.025=\dfrac{161}{40}}$

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3 years ago

MATH HELP PLZ <br><br> Simplify completely <br> 4(3x²y∧4)³

Andreas93 [3]

Assuming that you meant 4(x^2*y^4)^3
the answer would be 108 x^6 y^12

8 0

3 years ago

Is 3x+5 congruent to 5x-1

Licemer1 [7]

Yes it is congruent to5x-1

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3 years ago

A perpendicular bisector intersects line segment A C at point B. The bisector also contains points E and D. Line segment A B is

sdas [7]

Answer:

Step-by-step explanation:

Since point B bisects AC into two equal parts

AB=BC

Since the two right triangles have side BD in common, we can then say that the two triangles are congruent and the length of the hypotenuses (AD and DC) are equal.

If AD=DC

8x-1=6x+9

8x-6x=9+1

2x=10

x=5

Now,

AB=3x-2

=3(5)-2

=13 Units

Since AB=BC

AC=AB+BC

=13+13

AC=26 units

The measure of AC is 26 units.

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4 years ago

Read 2 more answers

Which is the slope-intercept form of the equation of a line that passes through (5,-4) and has a slope of 3/4

Andreas93 [3]

Y = mx +b whre m is the slope and b is the y-intercept.

We have the slope 3/4 so put that instead of m

y = 3/4x + b

Now to find the y-intercept (b), plug the ordered pair in and solve for b.

-4 = 3/4 * 5 + b
-4 = 15/4 + b
-31/4 + b

So y = 3/4x - 31/4

4 0

4 years ago