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3 years ago

Triangles ABC and DEF are right triangles, as shown. A ABC is similar to A DEF

Mathematics

1 answer:

Fiesta28 [93]3 years ago

4 0

Answer:

a/c and d/e are equal to cos(b)

Step-by-step explanation:

i used substitute and solve at first, but that didnt work too well so i moved on to the guess and check method.

my guess is a/c and d/e are equal to cos(b), can anyone check this?

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Expand the following:<br> a.x(x+5)<br> b.x(3x-1)<br> c.2x(2x+3)<br> d.5x(x-3y)

trasher [3.6K]

It would A because that’s obviously the right answer.

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3 years ago

Use the net to find the surface area of the prism.

Naddik [55]

286 feet; use the numbers and find the area of each rectangle, then add them all together.

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3 years ago

Is -7-5+3=1 true or false

grigory [225]

-7-5+3=1
-12+3=1
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3 years ago

In football a field goal is worth 3 points which function rule relates the number of field goals f and the number of points p

Strike441 [17]

The answer would be B. If you want to FIND how many points a person has, you put the "p" on its own on the left of the equation, and since every field goal (f) you score is worth 3 points, just multiply "f" by 3 (3f).

For example, if someone scored 5 field goals in a game, to find how many points they totalled, just plug in the 5 for "f":

1. Get equation:

p = 3f

2. Plug in field goals for "f":

p = 3(5)

3. Solve:

p = 15

4 0

3 years ago

(7 + 7i)(2 − 2i)

Ostrovityanka [42]

The complex number -7i into trigonometric form is 7 (cos (90) + sin (90) i) and 3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)

<h3>What is a complex number?</h3>

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have a complex number shown in the picture:

-7i(3 + 3i)

= -7i

In trigonometric form:

z = 7 (cos (90) + sin (90) i)

= 3 + 3i

z = 4.2426 (cos (45) + sin (45) i)

$\rm 7\:\left(cos\:\left(90\right)\:+\:sin\:\left(90\right)\:i\right)4.2426\:\left(cos\:\left(45\right)\:+\:sin\:\left(45\right)\:i\right)$

$\rm =7\left(\cos \left(\dfrac{\pi }{2}\right)+\sin \left(\dfrac{\pi }{2}\right)i\right)\cdot \:4.2426\left(\cos \left(\dfrac{\pi }{4}\right)+\sin \left(\dfrac{\pi }{4}\right)i\right)$

$\rm 7\cdot \dfrac{21213}{5000}e^{i\dfrac{\pi }{2}}e^{i\dfrac{\pi }{4}}$

$\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}$

=21-21i

After converting into the exponential form:

$\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}$

From part (b) and part (c) both results are the same.

Thus, the complex number -7i into trigonometric form is 7 (cos (90) + sin (90) i) and 3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)

Learn more about the complex number here:

brainly.com/question/10251853

#SPJ1

3 0

2 years ago