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3 years ago

Use the figure to answer the questions.

Mathematics

1 answer:

Advocard [28]3 years ago

4 0

Answer:

a) Triangle ABE is similar to Triangle DCE by Angle-Angle-Angle postulate.

b) 4 cm

Step-by-step explanation:

a) angle A = angle D

And

angle B = angle C

(Alternate angles)

Angle AEB = Angle DEC

(Vertically opposite angles)

All three angles are equal, hence triangles are similar

AB/DC = AE/DE

6/15 = y/10

y = 6×10/15

y = 4

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7/5 simplafied please help me

Paul [167]

Answer:

1.4

Step-by-step explanation:

7/5 = 1.4

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3 years ago

4> Solve by using Laplace transform: y'+5y'+4y=0; y(0)=3 y'(o)=o

harina [27]

Answer:

$y=3e^{-4t}$

Step-by-step explanation:

$y''+5y'+4y=0$

Applying the Laplace transform:

$\mathcal{L}[y'']+5\mathcal{L}[y']+4\mathcal{L}[y']=0$

With the formulas:

$\mathcal{L}[y'']=s^2\mathcal{L}[y]-y(0)s-y'(0)$

$\mathcal{L}[y']=s\mathcal{L}[y]-y(0)$

$\mathcal{L}[x]=L$

$s^2L-3s+5sL-3+4L=0$

Solving for $L$

$L(s^2+5s+4)=3s+3$

$L=\frac{3s+3}{s^2+5s+4}$

$L=\frac{3(s+1)}{(s+1)(s+4)}$

$L=\frac3{s+4}$

Apply the inverse Laplace transform with this formula:

$\mathcal{L}^{-1}[\frac1{s-a}]=e^{at}$

$y=3\mathcal{L}^{-1}[\frac1{s+4}]=3e^{-4t}$

7 0

3 years ago

Landon is driving at a constant speed of 55 miles per hour. At hat rate, how long will it take him to drive 275 miles?

Elza [17]

Answer:

5hours

Step-by-step explanation:

At constant speed, distance speed= distance/time taken

therefore, time will be obtained by the division of distance traveled by the speed.

in this question the distance is provided but time is not hence time is calculated as follows. time= distance/time taken

=275miles/55miles/hour

= 5hours

5 0

3 years ago

Read 2 more answers

Find the value of x.

ratelena [41]

Answer:

x= 4

Step-by-step explanation:

i dont think u need explanation but lmk if u do :)

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3 years ago

8' 4" − 2' 6" = how to find the answer

Harlamova29_29 [7]

Step-by-step explanation:

by considering how many inches (") are in one foot (').

the answer is 12. there are 12 in in every ft.

so, now we can convert everything to the smallest scale (inches) and do the calculation based on inches :

(8×12 + 4) - (2×12 + 6) = 96 + 4 - 24 - 6 = 100 - 30 = 70"

and now to translate 70" back into ft and in :

70/12 = 5 with a remainder of 10

70" = 5' 10"

7 0

2 years ago