Ask question

Ask question

All categories

2 years ago

14

On monday,Jayden built a 22.4 inch tall snowman. By Tuesday, it had melted down to 18.6 inches tall? How many inches did the sno

wman melt?

1 answer:

ser-zykov [4K]2 years ago

3 0

The answer is approximately 35942727

You might be interested in

Find the distance between a point (– 2, 3 – 4) and its image on the plane x+y+z=3 measured parallel to a line

Ber [7]

Answer:

The distance is:

$\displaystyle\frac{3\sqrt{142}}{10}$

Step-by-step explanation:

We re-write the equation of the line in the format:

$\displaystyle\frac{x+2}{3}=\frac{y+\frac{3}{2}}{2}=\frac{z+\frac{4}{3}}{\frac{5}{3}}$

Notice we divided the fraction of y by 2/2, and the fraction of z by 3/3.

In that equation, the director vector of the line is built with the denominators of the equation of the line, thus:

$\displaystyle\vec{v}=\left< 3, 2, \frac{5}{3}\right>$

Then the parametric equations of the line along that vector and passing through the point (-2, 3, -4) are:

$x=-2+3t\\y=3+2t\\\displaystyle z=-4+\frac{5}{3}t$

We plug them into the equation of the plane to get the intersection of that line and the plane, since that intersection is the image on the plane of the point (-2, 3, -4) parallel to the given line:

$\displaystyle x+y+z=3\to -2+3t+3+2t-4+\frac{5}{3}t=3$

Then we solve that equation for t, to get:

$\displaystyle \frac{20}{3}t-3=3\to t=\frac{9}{10}$

Then plugging that value of t into the parametric equations of the line we get the coordinates of the intersection:

$\displaystyle x=-2+3\left(\frac{9}{10}\right)=\frac{7}{10}\\\displaystyle y=3+2\left(\frac{9}{10}\right)=\frac{24}{5} \\\displaystyle z=-4+\frac{5}{3}\left(\frac{9}{10}\right)=-\frac{5}{2}$

Then to find the distance we just use the distance formula:

$\displaystyle d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2+(z_1-z_2)^2}$

So we get:

$\displaystyle d=\sqrt{\left(-2-\frac{7}{10}\right)^2+\left(3-\frac{24}{5}\right)^2+\left(-4 +\frac{5}{2}\right)^2}=\frac{3\sqrt{142}}{10}$

3 0

3 years ago

What are the dimensions of a rectangle with an area of 304 and a perimeter of 70?

Hitman42 [59]

Area = 304 cm^2
perimeter = 70
perimeter = 2(l+w)
70 = 2(l+w)
70/2 = l+w
35 = l+w
Now suppose the length would be = x
width would be= 35-x
NOW Area = l*w
304 = x * (35-x)
304 = 35x -x^2
x^2-35x+304 = 0
use quadratic formula to solve next ok
<span>
</span>

5 0

2 years ago

What percentage of 2300 is 411

valina [46]

2300÷100=23

411÷23= 17.87

final answer is 17.87℅

7 0

3 years ago

Please help! Will give brainliest!<br><br> Option choices are 2, -5. 11

netineya [11]

Answer:

2

Step-by-step explanation:

7 0

3 years ago

Darnell is trying to understand the Pythagorean Theorem by drawing a few triangles. He found that 1² + 1² = (√2)² is accurate. W

Sergeeva-Olga [200]

Answer:

D. The triangle is a right triangle, the lengths of its sides are 1 and 1 with a hypotenuse of √2.

Step-by-step explanation:

The Pythagorean Theorem is modeled by a² + b² = c².

c represents the hypotenuse and a and b represent the other two sides.

The Pythagorean Theorem can only be applied to right triangles.

7 0

2 years ago

Read 2 more answers