All categories

3 years ago

Geometry math question

Mathematics

2 answers:

aliina [53]3 years ago

8 0

By similar triangles ( triangles AFE and ADB are similar)

BD = 1/2 * FE so BD = 11.75 answer

KIM [24]3 years ago

5 0

By similar triangles ( triangles AFE and ADB are similar)

BD = 1/2 * FE so BD = 11.75 answer

You might be interested in

Solve the initial value problem where y′′+4y′−21 y=0, y(1)=1, y′(1)=0 . Use t as the independent variable.

igor_vitrenko [27]

Answer:

$y = \frac{7}{10} e^{3(t - 1)} + \frac{3}{10}e^{-7(t - 1)}$

Step-by-step explanation:

y′′ + 4y′ − 21y = 0

The auxiliary equation is given by

m² + 4m - 21 = 0

We solve this using the quadratic formula. So

$m = \frac{-4 +/- \sqrt{4^{2} - 4 X 1 X (-21))} }{2 X 1}\\ = \frac{-4 +/- \sqrt{16 + 84} }{2}\\= \frac{-4 +/- \sqrt{100} }{2}\\= \frac{-4 +/- 10 }{2}\\= -2 +/- 5\\= -2 + 5 or -2 -5\\= 3 or -7$

So, the solution of the equation is

$y = Ae^{m_{1} t} + Be^{m_{2} t}$

where m₁ = 3 and m₂ = -7.

So,

$y = Ae^{3t} + Be^{-7t}$

Also,

$y' = 3Ae^{3t} - 7e^{-7t}$

Since y(1) = 1 and y'(1) = 0, we substitute them into the equations above. So,

$y(1) = Ae^{3X1} + Be^{-7X1}\\1 = Ae^{3} + Be^{-7}\\Ae^{3} + Be^{-7} = 1 (1)$

$y'(1) = 3Ae^{3X1} - 7Be^{-7X1}\\0 = 3Ae^{3} - 7Be^{-7}\\3Ae^{3} - 7Be^{-7} = 0 \\3Ae^{3} = 7Be^{-7}\\A = \frac{7}{3} Be^{-10}$

Substituting A into (1) above, we have

$\frac{7}{3}B e^{-10}e^{3} + Be^{-7} = 1 \\\frac{7}{3}B e^{-7} + Be^{-7} = 1\\\frac{10}{3}B e^{-7} = 1\\B = \frac{3}{10} e^{7}$

Substituting B into A, we have

$A = \frac{7}{3} \frac{3}{10} e^{7}e^{-10}\\A = \frac{7}{10} e^{-3}$

Substituting A and B into y, we have

$y = Ae^{3t} + Be^{-7t}\\y = \frac{7}{10} e^{-3}e^{3t} + \frac{3}{10} e^{7}e^{-7t}\\y = \frac{7}{10} e^{3(t - 1)} + \frac{3}{10}e^{-7(t - 1)}$

So the solution to the differential equation is

$y = \frac{7}{10} e^{3(t - 1)} + \frac{3}{10}e^{-7(t - 1)}$

6 0

3 years ago

Indicated operation

lutik1710 [3]

20✔️3 + 4✔️27
20✔️3 + 4✔️9 • 3
20✔️3 + 4 • 3 ✔️3
20✔️3 + 12✔️3
32✔️3.

The solution is 32✔️3.

4 0

3 years ago

Plz help me. I'm confused on hw

r-ruslan [8.4K]

Answer: Yes by SAS

Why: they have two equal sides makes by the dashes and two 90 degree angles in the same places on both triangles meaning that the other side next to the 90 degree angle had to be equal as will

Hope this helps :D

4 0

3 years ago

An unmanned ocean vehicle named Nereus traveled 35,768 feet below the surface of the ocean. Another vehicle traveled 17,652 feet

xxTIMURxx [149]

your answer would be 18,100.

35,768-17,652= 18,116

and you have to round so you get

18,100

6 0

3 years ago

Read 2 more answers

A bag contains eight tiles labeled A, B, C, D, E, F, G, and H. One tile will be randomly picked.

RoseWind [281]

Answer:

1/4

Step-by-step explanation:

Count all of the vowels (this will be your numerator):

A and E

Count all of the letters (this will be your denominator):

A, B, C, D, E, F, G, and H

Write this as a fraction:

2/8

Simplify:

2/8 = 1/4

4 0

3 years ago