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BaLLatris [955]
3 years ago
9

Help please i really need this done

Mathematics
2 answers:
Law Incorporation [45]3 years ago
6 0
Above ^^^ is the right answer. the guy above me :)
Inga [223]3 years ago
5 0

Answer:

x = 33°

Step-by-step explanation:

x = 180° - 80° - 67° = 33°

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3. A person standing 3 feet away from the base of a lamp post casts a shadow 4 feet long. If the person is 6 feet tall and walks
german

Answer:

533.33 ft/min

Step-by-step explanation:

We are given that

x=3 feet

y=4 feet

Height of person,h=6 feet

\frac{dx}{dt}=400 ft/min

Triangle ABC and A'B'C are similar because all right triangles are similar

By using similarity property

\frac{h'}{6}=\frac{7}{4}

h'=10.5 feet

x+y=3+4=7 feet

\frac{h'}{6}=\frac{x+y}{y}

\frac{10.5}{6}=\frac{x+y}{y}

10.5y=6x+6y

10.5y-6y=6x

4.5y=6x

Differentiate w.r.t t

4.5\frac{dy}{dt}=6\frac{dx}{dt}

\frac{dy}{dt}=\frac{6\times 400}{4.5}ft/min

\frac{dy}{dt}=533.33ft/min

Hence, If the person is 6 feet tall and walks away from the lamp post at a speed of 400 feet per minute then his shadow moving at the rate 533.33 ft/min

7 0
3 years ago
Point B is on line AC so that AB : BC = 2 : 1. Point D is on line AB so that AD : DB = 3 : 2. Find AD : DC
Leya [2.2K]

Firstly, we will draw figure

Let's assume

length of AC=x

we have

AB : BC = 2 : 1

so,

AB=\frac{2}{3} x

BC=\frac{1}{3} x

Point D is on line AB

and

AB=\frac{2}{3} x

AD : DB = 3 : 2

so, we get

AD=\frac{3}{5} *\frac{2}{3} x

AD=\frac{2}{5} x

DB=\frac{2}{5} *\frac{2}{3} x

DB=\frac{4}{15} x

now, we can locate these values

Firstly, we will find DC

DC=DB+BC

now, we can plug values

DC=\frac{4}{15} x+\frac{1}{3} x

DC=\frac{3x}{5}

we have got

AD=\frac{2}{5} x

now, we can find ratio

\frac{AD}{DC} =\frac{\frac{2}{5} x}{\frac{3x}{5}}

now, we can simplify it

\frac{AD}{DC} =\frac{2}{3}

so,

AD:DC=2:3...........Answer


5 0
3 years ago
A holiday costs £1900. Work out the price after a 9% discount
prohojiy [21]

Answer:

1900×9÷100

19×9=171

ok if you any doubt say me

7 0
3 years ago
Read 2 more answers
Find the discriminant<br> 9x^2+14x+13=8x^2
tiny-mole [99]

Answer:

The discrimant of this equation is 144.

Step-by-step explanation:

First you have to move all the variables to one side to make the equation/expression into 0 by substracting 8x² to both sides :

9x² + 14x + 13 = 8x²

9x² + 14x + 13 - 8x² = 8x² - 8x²

x² + 14x + 13 = 0

It is given that the formula of discriminant is, D = b² - 4ac where a&b&c represent the number of the equation, ax²+bx+c = 0 :

x² + 14x + 13 = 0

D = b² - 4ac

= 14² - 4(1)(13)

= 196 - 52

= 144

8 0
3 years ago
Express your answer in scientific notation 4.9x10^5-5.8x10^4
bonufazy [111]

Answer:

about 4.9x10^5

Step-by-step explanation:

(4.9x10^5-5.8x10^4)= 4899999.9994

3 0
3 years ago
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