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3 years ago

I need the answer in a fraction if possible

Mathematics

1 answer:

Vedmedyk [2.9K]3 years ago

7 0

Answer:

12 ft 9 5/6 inches

Step-by-step explanation:

We can use proportions to solve this. Put the height of the object over the shadow. Change the height of the object to inches

Alonzo

5 ft 11 inches = 5 ft *12 inches/ft + 11 inches = 60 inches + 11 inches = 71 inches

2 ft shadow = 2* 12 inches/ ft = 24 inches

Basketball goal

4 ft 4 inches = 4 ft *12 inches/ft + 4 inches = 48inches + 4 inches = 52 inches

Alonzo Basketball

71 inches x inches tall

------------ = --------------------

24 inches 52 inches

Using cross products

71*52 = 24*x

Divide each side by 24

71*52/24 = 24x/24

923/6 =x

Lets change this to a mixed number

6 goes into 923 153 times with 5 left over

153 5/6 inches

Now we need to change inches to feet

How many time does 12 go into 153 12 times (12*12 =144 with 9 left over)

12 ft 9 5/6 inches

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3 years ago

Write the given second order equation as its equivalent system of first order equations. u′′−5u′−4u=1.5sin(3t),u(1)=1,u′(1)=2.5

lakkis [162]

Answer:

hi your question options is not available but attached to the answer is a complete question with the question options that you seek answer to

Answer: v = 5v + 4u + 1.5sin(3t),

1.5sin(3t)

Step-by-step explanation:

u" - 5u' - 4u = 1.5sin(3t) where u'(1) = 2.5 u(1) = 1

v represents the "velocity function" i.e v = u'(t)

As v = u'(t)

<em>u' = v</em>

since <em>u' = v </em>

v' = u"

v' = 5u' + 4u + 1.5sin(3t) ( given that u" - 5u' - 4u = 1.5sin(3t) )

= 5v + 4u + 1.5sin(3t) ( noting that v = u' )

so v' = 5v + 4u + 1.5sin(3t)

d/dt $\left[\begin{array}{ccc}u&\\v&\\\end{array}\right]$ = $\left[\begin{array}{ccc}0&1&\\4&5&\\\end{array}\right]$ $\left[\begin{array}{ccc}u&\\v&\\\end{array}\right]$ + $\left[\begin{array}{ccc}0&\\1.5sin(3t)&\\\end{array}\right]$

Given that u(1) = 1 and u'(1) = 2.5

since v = u'

v(1) = 2.5

note: the initial value for the vector valued function is given as

$\left[\begin{array}{ccc}u(1)&\\v(1)\\\end{array}\right]$ = $\left[\begin{array}{ccc}1\\2.5\\\end{array}\right]$

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2 years ago

HELPPPPPPP HELP HELP HELP HELP

anzhelika [568]

Answer:

13 units

Step-by-step explanation:

Im doin this in class to so i got you

the equation would be d=(8-(-5))2-(-3-(-2))2

Next solve in the parenthesis 13 power of 2 +-1 power of 2

Then do the powers 169+1

d=170

Then you square 170 which is 13.03840481

That simplifies to 13

yayyyy

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2 years ago