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3 years ago

Help please!!!!!!!!!!!

Mathematics

1 answer:

Anon25 [30]3 years ago

8 0

Answer: x = 12, ∠B = 45°

Step-by-step explanation:

Angle A and Angle B are alternate exterior angles meaning that they are equal

5x - 15 = 2x + 21

3x - 15 = 21

3x = 36

x = 12

B = 2(12) + 21

B = 24 + 21

B = 45

You might be interested in

Suppose sin a = 12/13 and sin b= 5/11. FInd cos(a+b)

m_a_m_a [10]

Answer:

1.28 or 912/715

Step-by-step explanation:

sine= opposite side/hypotenuse

cos=adjacent/ hypotenuse

sine a= 12/13 using the Pythagorean Theorem and solve for the missing side. (which is the adjacent side)

cos a = 5/13

Do the same for sine b

cos b= 9.8/11

add both the cosine value

(5/13)+(9.8/11)=1.28 or 912/715 in fraction form

6 0

2 years ago

PLEASE HELP ME IM STUCK

Tems11 [23]

Answer:

5x^2 -3x +9

Step-by-step explanation:

To subtract, line up the common terms. I add a 0 term to keep the terms in line.

5x^2 + 0x +7

- (0x^2 +3x- 2 )

------------------------

Distribute the negative sign.

5x^2 + 0x +7

- 0x^2 -3x + 2

------------------------

5x^2 -3x +9

3 0

2 years ago

Read 2 more answers

(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

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3 0

2 years ago

Pls help w these thx <33

stepladder [879]

Answer:

36.81233927

13.02532494

Step-by-step explanation:

You need to use the law of sine for both of them

the law of sine is as follows:

$\frac{a}{\sin(A)}=\frac{b}{\sin(B)}=\frac{c}{\sin(C)}$

Question 1:

$\frac{15}{\sin(64)}=\frac{10}{\sin(y)}\\y=36.81233927$

Question 2:

Let x= AB

Start by solving for the missing angle, 53

$\frac{8.4}{\sin(31)}=\frac{x}{\sin(53)}$

x= 13.02532494

I will leave you to round the answers

7 0

3 years ago

Pamela is 7 years younger than Jiri. The sum of their ages is 39. What is Jiri ‘s age?

astraxan [27]

Based on the task given, Pamela's age and juri's age is 16 and 23 years respectively.

<h3>Equation</h3>

Juri's age = x
Pamela's age = x - 7
Their total age = 39

x + (x - 7) = 39

x + x - 7 = 39

2x = 39 + 7

2x = 46

x = 46/2

x = 23

Therefore,

Juri's age = x

= 23 years

Pamela's age = x - 7

23 - 7

= 16 years

Learn more about equation:

brainly.com/question/2972832

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8 0

1 year ago