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3 years ago

Choose the answer based on the most efficient method as presented in the lesson.

Mathematics

2 answers:

natita [175]3 years ago

7 0

The next step is to add 9

Dmitriy789 [7]3 years ago

7 0

add nine

"B"

wabba dub

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A trough is 8 feet long and has perpendicular cross section in the shape of an isosceles triangle (point down) with base 1 foot

murzikaleks [220]

Answer:

Dh/dt = 0.082 ft/min

Step-by-step explanation:

As a perpendicular cross section of the trough is in the shape of an isosceles triangle the trough has a circular cone shape wit base of 1 feet and height h = 2 feet.

The volume of a circular cone is:

V(c) = 1/3 * π*r²*h

Then differentiating on both sides of the equation we get:

DV(c)/dt = 1/3* π*r² * Dh/dt (1)

We know that DV(c) / dt is 1 ft³ / 5 min or 1/5 ft³/min

and we are were asked how fast is the water rising when the water is 1/2 foot deep. We need to know what is the value of r at that moment

By proportion we know

r/h ( at the top of the cone 0,5/ 2) is equal to r/0.5 when water is 1/2 foot deep

Then r/h = 0,5/2 = r/0.5

r = (0,5)*( 0.5) / 2 ⇒ r = 0,125 ft

Then in equation (1) we got

(1/5) / 1/3* π*r² = Dh/dt

Dh/dt = 1/ 5*0.01635

Dh/dt = 0.082 ft/min

4 0

2 years ago

60 Points !!!!!

zheka24 [161]

Answer:

A yes ; it can be rotated 360° or less and match the original figure

8 0

2 years ago

Write the corresponding sides ad equal ratios

Marta_Voda [28]

Notice the corners; the corner on each triangle with one line is equivalent, and the same goes for the corner on each triangle with two lines, and the corner on each triangle with three lines. this is just a way to know which angles match up!

this means the answer would be:

D!

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2 years ago

Add the number that would make the<br> expression a perfect square.<br> x² - 4x +<br> Helppp me

galina1969 [7]

Answer:

x\left(x-4\right)

Step-by-step explanation:

xx-4x

6 0

2 years ago

Which linear function represents the line given by the point-slope equation y – 8 = y minus 8 equals startfraction one-half endf

Marina CMI [18]

The linear function which represents the line given by the point-slope equation is (B) $f(x)=\frac{1}{2} x+6$ .

<h3>What is a linear function?</h3>

The word linear function in mathematics refers to two distinct but related concepts.
A linear function in calculus and related fields is a function whose graph is a straight line, that is, a polynomial function of degree zero or one.

To find the linear function which represents the line given by the point-slope equation:

Given: $y-8=\frac{1}{2} (x-4)$

Distribute the right side:

$y-8=\frac{1}{2} (x)-\frac{1}{2} 4\\y-8=\frac{1}{2} x-2$

Adds 8 on both sides:

$y=\frac{1}{2}x-2+8\\y=\frac{1}{2}x+6$

Convert to function notation:

$f(x)=y\\f(x)=\frac{1}{2} x+6$

Therefore, the linear function which represents the line given by the point-slope equation is (B) $f(x)=\frac{1}{2} x+6$ .

Know more about linear functions here:

brainly.com/question/15602982

#SPJ4

The complete question is given below:

Which linear function represents the line given by the point-slope equation y – 8 = y minus 8 equals start fraction one-half end fraction left-parenthesis x minus 4 right-parenthesis. (x – 4)?

A) F(x) = f(x) equals StartFraction one-half EndFraction x plus 4.X + 4

B) f(x) = f(x) equals StartFraction one-half EndFraction x plus 6.

C) X + 6 f(x) = f(x) equals StartFraction one-half EndFraction x minus 10.X –10

D) f(x) = f(x) equals StartFraction one-half EndFraction x minus 12.X – 12

3 0

10 months ago