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AleksAgata [21]
2 years ago
8

Given isosceles right triangle CDE with m∠D = 90, sin C = sin D

Mathematics
1 answer:
Butoxors [25]2 years ago
7 0

Answer:True

Step-by-step explanation:

Given

\angle D=90^{\circ}

For isosceles triangle , CD=DE (x=y)

from figure,

\sin C=\dfrac{y}{H}\\\\\sin D=\dfrac{x}{H}\\\\\text{CD=DE}\\\\\therefore \sin C=\sin D=\dfrac{x}{H}=\dfrac{y}{H}

Thus, the given statement is true

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An airplane is flying at a speed of 500 mi/h at an altitude of one mile. The plane passes directly above a radar station at time
d1i1m1o1n [39]

Answer:

a)s=\sqrt{1+d^2}

b)d(t)=500t

c)s(t) =\sqrt{1+250000t^2}

Step-by-step explanation:

d = Horizontal distance

s = the distance between the plane and the radar station

The horizontal distance (d), the one mile altitude, and s form a right triangle.

So, use Pythagoras theorem

Hypotenuse^2=Perpendicular^2+Base^2

s^2=1^2+d^2

a) s=\sqrt{1+d^2}

(b) Express d as a function of the time t (in hours) that the plane has flown.

distance = speed \times time

d(t)=500t

(c) Use composition to express s as a function of t.

s(t) =\sqrt{1+d^2}

using b

s(t) =\sqrt{1+(500t)^2}\\s(t) =\sqrt{1+250000t^2}

6 0
3 years ago
The Flynns' monthly budget allowed them to spend 5555 for household expenses. During June and July they
cricket20 [7]

Answer:

They have over spent $925

Step-by-step explanation:

Given:

The Monthly amount Flynn's spent on Household  = $555

Amount spent In June and July together = #2035

To Find:

The over spent amount in June and July = ?

Solution:

For a month the budget is $555

According to the budget the amount they should have spent for the month of June and July will be

=> $555 for June  + $555 for July

=> $1110

But they have spent $ 2035 for June and July together

Si the extra amount will be

Amount spent - actual budget amount

=> $2035 - $1110

=> $925

3 0
3 years ago
20cm rounded dto thenearest tenth
NNADVOKAT [17]

Answer:

20cm rounded to the nearest tenth is 20cm

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6 0
2 years ago
Help its due in 5 mins lol
inessss [21]
Y= 26 & x=35 hope I did it on time!
6 0
2 years ago
Factor this trinomial completely.
maxonik [38]

Answer:

2(x^2+3x+2) = 2(x+1)(x+2)

Answer is D.

Step-by-step explanation:

7 0
3 years ago
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