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3 years ago

11

Tim has m dollars . Rebecca has $6 dollars less than 1 over 10 times the number of dollars that Tim has which expression represe

nts the total amount of money if Tim has $70 how much do Rebecca ans Tim have altogether?

1 answer:

grin007 [14]3 years ago

8 0

y= 1/10x - 6

Which if you plug in 70 for x, y equals 1.

Rebecca has $1 and Tim has $70, together they have $71.

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In converting 30 pounds to ounces, what unit (omit the number) would you

gladu [14]

Step-by-step explanation:

to convert pounds into ounces you'd

actually multiply 16 by 30:

30 * 16

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3 years ago

The angle of elevation to the top of a water tower from point A on the ground is 19.9°. From point B, 50.0 feet closer to the to

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Answer:

Answer in terms of a trigonometric function :

$h = \frac{20tan(19.9)}{0.4-tan(19.9)}$

Answer in figures

$h = 190.5 feet$

Step-by-step explanation:

Consider the sketch attached below to better understand the problem.

Let x be the distance between point B and the base of the water tower.

$tan (19.9)=\frac{h}{50+x} ---------------equation 1\\$

$tan (21.8)=\frac{h}{x}----------------equation 2$

From equation 2,

$x =\frac{h}{tan21.8}=\frac{h}{0.4}$

substituting the value of x into equation 1, we get

$tan (19.9)=\frac{h}{50+(\frac{h}{0.4} )}$

$tan 19.9=h\times \frac{0.4}{20+h}$

cross multiplying,

$20\times tan(19.9) +htan(19.9)=0.4h$

$20tan(19.9)= h(0.4-tan(19.9))$

$h= \frac{20tan (19.9)}{0.4-tan (19.9)}$

The height of the tower is $h= \frac{20tan (19.9)}{0.4-tan (19.9)}$ in terms of the trig function "Tan"

The equation can simply be evaluated to get the answer in figures since the angles are given in the question

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PICTURE PLEASE HELP.

aksik [14]

By pythagorean theorem

a^2+b^2=c^2

We can find that PL is 12.65

and then by altitude theorem

MA*LA=PA^2

we can find the value of MA

12MA=16

MA=1.33

then by the pythagorean theorem

we can use to find PM

MA^2+PA^2=PM^2

so PM=4.22

then to find the are you multiply length by width

PM*PL

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So the area is 53.38

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