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2 years ago

∠A and \angle B∠B are complementary angles. If m\angle A=(6x+3)^{\circ}∠A=(6x+3)

Mathematics

1 answer:

Wewaii [24]2 years ago

8 0

Answer:

Step-by-step explanation:

The angles are complimentary, so they add to 90

6x + 3 + 7x + 9 = 90 Combine like terms

13x + 12 = 90 Subtract 12 from both sides

13x = 90 - 12 Combine

13x = 78 Divide both sides by 13

x = 6

<A = 6x + 3

<A = 6*6 + 3

<A = 36 + 3

<A = 39

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Find a cone's missing radius when its V=147π ft3<br> and h= 9 ft.

kirill [66]

Here's link to the answer:

tinyurl.com/wpazsebu

5 0

3 years ago

Convert the complex number z = 4 - 10i from rectangular form to polar form.

mrs_skeptik [129]

ANSWER

$r = 2 \sqrt{29} ( \cos(292 \degree) + \sin(292 \degree))$

EXPLANATION

The polar form of a complex number ,

$z = x + yi$

is given by:

$z = r( \cos( \theta) + i \sin( \theta) )$

where

$r = \sqrt{ {x}^{2} + {y}^{2} }$

The given complex number is:

$z = 4 - 10i$

$r = \sqrt{ {4}^{2} + {( - 10)}^{2} }$

$r = \sqrt{16 + 100}$

$r = \sqrt{116} = 2 \sqrt{29}$

And

$\theta= \tan^{ - 1}(\frac{ y}{x} )$

$\theta= \tan^{ - 1}(\frac{ - 10}{4} )$

$\theta= 292 \degree$

Hence the polar form is :

$r = 2 \sqrt{29} ( \cos(292 \degree) + \sin(292 \degree))$

6 0

3 years ago

5. Select All equations that have a solution of 2"

Pachacha [2.7K]

Answer:

none of these have a solution of 2.

Step-by-step explanation:

4x+ 15 = 27

x=3

x + 6 =3

x = 3

2(x+5)=18

x = 4

x + 9 = 6

x = -3

if my understanding of what the equations are supposed to be please let me know what they are supposed to be, because with the way they are typed it is hard to tell :)

6 0

3 years ago

Write an equation in slope-intercept form of the line shown. (-4,0) and (1,-5)

Irina18 [472]

The slope intercept form is y = -x - 4

To find the slope intercept form given a couple of points, start by finding the slope using the slope equation.

m(slope) = (y2 - y1)/(x2 - x1)

m = (-5 - 0)/(1 - -4)

m = -5/5

m = -1

Now we look for the intercept using slope intercept form, our slope and a point.

y = mx + b

0 = -4(-1) + b

0 = 4 + b

-4 = b

Now we can use those two things top model the equation.

y = -x - 4

5 0

3 years ago

Plz help me with this questions and show working out thanks

Paraphin [41]

Answer: The steps and answers to the first two are below but you need to understand slope = change in y / change in x = y2 - y1/ x2 - x1

And you need to understand y = mx + c

m= slope c is y intercept

Substitute either point given - only use one as the x and y and find c

Step-by-step explanation:

1. You need to follow the steps -

the point is given as (2,5) = (x,y)

So what this means is x =2 and y =5

Simple substitutions is the step 5 = 3 x 2 + c

5 = 6 + c or easier to see is c + 6 =5

subtract 6 from both sides c + 6 = 5

-6 -6

__________________

c = -1

x1,y1 x2,y2

( 3,2) and (5,6) are two points on the line

you already calculate the slope which is m = noy2-y1/x2-x1 = 6-2/5-3 = 4/2 = 2

Remember y= mx + c

y = 2 x + c

now substitute in (3,2) which is (x1, y1) into the x and y in your equation

2 = 2 (3) + c

2 = 6 + c

subtract 6 from both sides

-4 = c

Now you should use this and do your last question yourself

5 0

2 years ago