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2 years ago

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what must be the length of a ladder that mr. rizzo can use if he wishes to place the bottom of the ladder five feet from a wall

and he wishes to reach a window that is 15 feet above the ground? use the pythagorean theorem to solve pls

1 answer:

Inessa [10]2 years ago

5 0

Answer:

jgdnh svfbbth1f we ra r ti

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If the acceleration of an object is given by dv/dt = −2v, Find the position function s(t) if v(0) = 7 and s(0) = 0.

kirill [66]

Answer:

Step-by-step explanation:

Given that acceleration of an object is

$\frac{dv}{dt} =-2v\\\frac{dv}{v} =-2dt\\ln v = -2t+C\\$

is the solution to the differential equation

Since v(0) =7

we get ln 7 = C

Hence $lnv = -2t+ln 7\\v=7e^{-2t}$

since velocity is rate of change of distance s we have

$v=\frac{ds}{dt} =7e^{-2t}\\s= [tex]s(t) =\frac{-7}{2} (e^{-2t})+C)[$

substitute t=0 and s=0

$C=7/2$

So solution for distance is

$s(t) =\frac{-7}{2} (e^{-2t}-1)$

4 0

2 years ago

Last month, a dwarf lemon tree grew half as much as a semi-dwarf lemon tree. A full-size lemon tree grew three times as much as

dimulka [17.4K]

Answer: the dwarf tree grew by 3 inches.

the semi dwarf tree grew by 6 inches.

the full size tree grew by 18 inches.

Step-by-step explanation:

Let x represent how much the semi-dwarf lemon tree grew.

Last month, a dwarf lemon tree grew half as much as a semi-dwarf lemon tree. This means that the amount by which the dwarf lemon tree grew is expressed as x/2

A full-size lemon tree grew three times as much as the semi-dwarf lemon. This means that the amount by which the full-size lemon tree grew is expressed as 3x

Together, the three trees grew 27 inches. This means that

x/2 + x + 3x = 27

Cross multiplying by 2, it becomes

x + 2x + 6x = 54

9x = 54

x = 54/9

x = 6 inches

The dwarf tree grew by 6/2 = 3 inches.

The full-size lemon tree grew by 3 × 6 = 18 inches

7 0

2 years ago

A=h(b+c) solve for h

Gnesinka [82]

Answer:

a/(b+c)=h

Step-by-step explanation:

a=h(b+c)

a/(b+c)=h

Just one step.

8 0

2 years ago

Please help with solving this problem....!!!

kifflom [539]

Answer:

The Average Temperature for the week is -1°C

Step-by-step explanation:

First to find the average, you have to combine all the numbers

-3-4+0-2+0+3-1 = -7

Then you have to divide the total, with the number of numbers used to combine to make the total

-7 ÷ 7 = -1

The average temperature is -1°C

6 0

2 years ago

Numbered disks are placed in a box and one disk is selected at random. If there are 6 red disks numbered 1 through 6, and 2 yell

Tatiana [17]

Answer:

$\frac{3}{4}$

Step-by-step explanation:

Total number of red disk=6

Total number of yellow disk=2

Total disk=6+2=8

Odd number=1,3,5,7=4

Odd number on red disk=1,3,5=3

Probability, $P(E)=\frac{favorable\;cases}{total\;number\;of\;cases}$

Using the formula

The probability of getting odd number disk= $\frac{4}{8}=\frac{1}{2}$

The probability of getting odd numbered red disk= $\frac{3}{8}$

The probability of selecting a red disk,given that an odd numbered disk is selected= $\frac{\frac{3}{8}}{\frac{1}{2}}=\frac{3}{8}\times 2=\frac{3}{4}$

Using conditional probability

$P(A/B)=\frac{P(A\cap B)}{P(B)}$

6 0

2 years ago