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2 years ago

Name the solid figure

Mathematics

1 answer:

klemol [59]2 years ago

8 0

Answer:

That is a rectangular prism

Step-by-step explanation:

Because I'm smart

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Find the point P on the line yequals=33x that is closest to the point (60 comma 0 )(60,0). What is the least distance between P

scoray [572]

Answer:

$18\sqrt{10}$ units$

Step-by-step explanation:

We are given the equation of the line y=3x and a point, say Q(60,0) outside of that line.

We want to find the point on the line y=3x which is closest to Q.

Let P(x,y) be the desired point. Since it is on the line y=3x, it must satisfy the line.

If x=a, y=3a, so the point P has the coordinates (a,3a).

Distance between point Q and P

$=\sqrt{(60-a)^2+(0-3a)^2}\\D =\sqrt{10a^2-120a+3600}$

To minimize D, we find its derivative

$\dfrac{dD}{da}=\dfrac{10a-60}{\sqrt{10a^2-120a+3600} }\\$Setting \dfrac{dD}{da}=0\\10a-60=0\\10a=60\\a=6$

Therefore, the y-coordinate for P is 3*6=18.

The point P=(6,18).

Next, we calculate the distance between P(6,18) and (60,0).

$D =\sqrt{10(6)^2-120(6)+3600}\\=\sqrt{3240}\\=18\sqrt{10}$ units$

8 0

4 years ago

Evaluate the expression when c=21 and d=4. c-5d

vekshin1

$\huge \boxed{\mathfrak{Question} \downarrow}$

Evaluate the expression when c = 21 and d = 4, c - 5d = ?

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

Given,

c = 21
d = 4
c - 5d = ?

Let's solve it now :-

$\sf \: c - 5d \\ \\ \sf \: Substitute \: the \: values \: of \: c \: and \: d \\ \\ \sf c - 5d \\ \rightarrow \sf(21) - 5(4) \\ \sf \rightarrow21 - 20 \\ = \boxed{\boxed{\bf \: 1}}$

The value of the expression is 1.

6 0

3 years ago

A pilot wants to arrive at her destination as soon as possible. Air traffic is busy, so she can take off 10 minutes later than e

Vaselesa [24]

Answer:

y = x/3 + 10

Step-by-step explanation:

Let y be the number of minutes the flight takes

She can take off 10 minutes later than expected. She will be able to travel at a speed three times than expected.

Let her expected speed be s, therefore, she can travel at 3s.

x = number of minutes the flight was expected to take.

In terms of distance and speed:

x = d / s ______(1)

where d = total distance traveled

The time for the flight (minus waiting time) is now the division of the distance she traveled and her speed, i.e.:

t = d / 3s

From (1):

=> t = x / 3

The time she spent waiting is 10 minutes.

Therefore, the total time that the flight takes (plus waiting time) is:

y = t + 10

=> y = x/3 + 10

5 0

3 years ago

A cylindrical well has a radius of 10 feet and a height of 15 feet. What

OLga [1]

Answer:

Look below.

Step-by-step explanation:

We can use the information provided to plug it into a...

Fomula to find a volume of a cylinder:

V=πr^2h

V=π(10)^2(15)

V≈4712.39ft

6 0

3 years ago

What is the solution to the equation 1/40x = 1/8 ? x = 320 x = 5 x = 48 x = 32

netineya [11]

The answer is x = 5. Hope that helps, God bless!

7 0

3 years ago