The diagram below represents a generic right triangle.

Which statement BEST explains why the sine of an acute angle is equal to the cosine of the angle's complement?
A
Both sin A and cos B are equal to

B
Both sin A and cos B are equal to
ОО O

С
For sin A to equal cos B. a and c must be equal.

D
For sin A to equal cos B a and b must be equal

Answer:

h ≅ 16.29 cm

[tex]\mathbf{\dfrac{dh}{dt}= -0.1809 \ cm/s}[/tex]

Step-by-step explanation:

From the conical funnel;

Let the adjacent line at the base of the cone be radius (r) and the opposite ( vertical length) be the height (h)

Then;

[tex]tan \theta= \dfrac{r}{h}[/tex]

[tex]tan \theta= \dfrac{8}{16}[/tex]

[tex]tan \theta= \dfrac{1}{2}[/tex]

∴

[tex]\dfrac{r}{h} = \dfrac{1}{2}[/tex]

[tex]r = \dfrac{h}{2}[/tex]

The volume (V) of the cone is expressed as:

[tex]V = \dfrac{1}{3}\pi r ^2 h[/tex]

[tex]V = \dfrac{1}{3}\pi (\dfrac{h}{2})^2 h[/tex]

[tex]V = \dfrac{\pi h^3}{3\times 4}[/tex]

[tex]\dfrac{dv}{dt} = \dfrac{3 \pi h^2}{3 \times 4} \dfrac{dh}{dt}[/tex]

[tex]\dfrac{dv}{dt} = \dfrac{ \pi h^2}{4} \dfrac{dh}{dt}[/tex]

Given that:

[tex]\dfrac{dv}{dt} = 12 \pi[/tex]

Then:

[tex]-12 \pi = \dfrac{ \pi h^2}{4} \dfrac{dh}{dt}[/tex]

[tex]- \int 48 \ dt = \int h^2 \ dh[/tex]

[tex]\dfrac{h^3}{3}= -48 t + c[/tex]

[tex]At \ t = 0 \ ; h = 0[/tex]

∴

[tex]\dfrac{0^3}{3} = -48(0) + c[/tex]

c = 0

So;

[tex]\dfrac{h^3}{3}= -48 t + 0[/tex]

[tex]\dfrac{h^3}{3}= -48 t[/tex]

t = 30

[tex]\implies h = (-48(30))^{1/3}[/tex]

h = 16.2865

h ≅ 16.29 cm

Thus;

from [tex]-12 \pi = \dfrac{ \pi h^2}{4} \dfrac{dh}{dt}[/tex]

[tex]\dfrac{-12 \pi} { \dfrac{ \pi h^2}{4} } =\dfrac{dh}{dt}[/tex]

[tex]\dfrac{dh}{dt} = \dfrac{-12 \pi} { \dfrac{ \pi h^2}{4} }[/tex]

[tex]\dfrac{dh}{dt}=\dfrac{-12 \times 4} { {16.29^2} }[/tex]

[tex]\mathbf{\dfrac{dh}{dt}= -0.1809 \ cm/s}[/tex]

Answer:74.67

Step-by-step explanation:There ya go :>

Answer:is the secend one

Step-by-step explanation:this is easy you just have to find the points

Answer:

(2,5) (6,9) (7,2)

Step-by-step explanation:

the first number is the x and the second number is the y

Answer:

5y+4z

Step-by-step explanation:

A coefficent is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression

Answer:

B. 21.2

Step-by-step explanation:

Perimeter of ∆ABC = AB + BC + AC

A(-4, 1)

B(-2, 3)

C(3, -4)

✔️Distance between A(-4, 1) and B(-2, 3):

[tex] AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

[tex] AB = \sqrt{(-2 - (-4))^2 + (3 - 1)^2} = \sqrt{(2)^2 + (2)^2)} [/tex]

[tex] AB = \sqrt{4 + 4} [/tex]

[tex] AB = \sqrt{16} [/tex]

AB = 4 units

✔️Distance between B(-2, 3) and C(3, -4):

[tex] BC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

[tex] BC = \sqrt{(3 - (-2))^2 + (-4 - 3)^2} = \sqrt{(5)^2 + (-7)^2)} [/tex]

[tex] BC = \sqrt{25 + 49} [/tex]

[tex] BC = \sqrt{74} [/tex]

BC = 8.6 units (nearest tenth)

✔️Distance between A(-4, 1) and C(3, -4):

[tex] AC = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

[tex] AC = \sqrt{(3 - (-4))^2 + (-4 - 1)^2} = \sqrt{(7)^2 + (-5)^2)} [/tex]

[tex] AC = \sqrt{47 + 25} [/tex]

[tex] AC = \sqrt{74} [/tex]

AC = 8.6 units (nearest tenth)

Perimeter of ∆ABC = 4 + 8.6 + 8.6 = 21.2 units

Answer:

A, 20.0

Step-by-step explanation:

Answer:

It's simple

Step-by-step explanation:

See what I did there? Simple?

Answer: 3n + 15 ≤ 7

n = number

hope this helped! :D

Answer:

55

_________

I just did this lol, Be safe <3

it is 55 the first guy or girl is right i tried it

55

Answer:

11

Step-by-step explanation:

3x-6+4x+7-2x

3x+4x-2x+7-6

7x-2x+1=5x+1

3x-6+4x+7-2x=5x+1 substitute all X's for two and get 3(2)-6+4(2)+7-2(2)=5(2)+1

6-6+8+7-4=10+1

11=11

Answer:

5 ft

Step-by-step explanation:

Total area of turf and flower bed is [tex]1200\ \text{ft}^2[/tex]

Turf dimensions is 20 feet by 30 ft

Area of turf = [tex]20\times 30=600\ \text{ft}^2[/tex]

Area of flower bed = [tex]1200-600=600\ \text{ft}^2[/tex]

Let [tex]x[/tex] be the width of the flower bed so area of flower bed is

[tex]2\times 30x+2(20+2x)x=600\\\Rightarrow 30x+20x+2x^2=300\\\Rightarrow 2x^2+50x-300=0\\\Rightarrow x^2+25x-150=0\\\Rightarrow x=\dfrac{-25\pm \sqrt{25^2-4\times \:1\times \left(-150\right)}}{2\times \:1}\\\Rightarrow x=5,-30[/tex]

So, width of the flower bed is 5 ft.

Answer:Its not in area model but I tried my best and wrote it in standard algorithm hope this works for you.

Step-by-step explanation

   431

  x 12

  4310 = 5,172

Answer:

he line will intersect the y-axis where x = 0. So we get 7y= 14, or y=2. Hence the line will intersect the x-axis at (0,2).

Step-by-step explanation:

∅·∅

Answer:

A. 15

Step-by-step explanation:

The segment addition postulate states that the lengths of the pieces of a segment will add up to the length of the entire segment.

Using the segment addition postulate, The value of x is 15.

The segment addition postulate states that the lengths of the pieces of a segment will add up to the length of the entire segment.

WE have been given the following parameters;

HI = 6x + 8

DJ = 2x - 4

HJ = 124

Then by using  the segment addition postulate,

HI + DJ + HJ

(6x + 8) +(2x - 4) = 124

8x + 4 = 124

8x = 120

x = 15

(6x + 8)  = 6(15) + 8 = 78

(2x - 4)  = 2(15) -4 = 20

Therefore, the value of x is 15.

Learn more about  the segment addition postulate,

https://brainly.com/question/17259950

#SPJ2

Answer:

60/100

Step-by-step explanation:

You need to have the denominator set to 100. So multiply the denominator by 10, but whatever you do the denominator, you have to do to the numerator. So multiply the numerator by 10 too.

Answer:+21

Step-by-step explanation:

21 + 0

Answer:

Algebra Examples Rewrite log4(x+20)=3 log 4 ( x + 20 ) = 3 in exponential form using the definition of a logarithm. If x and b are positive real numbers and b ≠ 1 , then logb(x)=y log b ( x ) = y is equivalent to by=x b y = x .

Step-by-step explanation:

Answer:

k = 20

Step-by-step explanation:

310-(30x7) = 5k

310-210=5k

100=5k

 /5   /5

20=k

Answer:

The student will be able to fill  5 1/2 cups of lemonade.

Step-by-step explanation:

can i get brainliest plz

Answer:

you could fill 5 1/2 cups.

Step-by-step explanation:

19 1/4 divided by 3 1/2 is 5 1/2

Answer:

The equation of the line is [tex]y = -\frac{x}{4} - 3[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept(the value of y when x = 0).

Perpendicular lines:

If two lines are perpendicular, the multiplication of their slopes is -1.

Line perpendicular to y = 4x + 4.

This line has slope 4, so our line will have slope:

[tex]4m = -1[/tex]

[tex]m = -\frac{1}{4}[/tex]

So

[tex]y = -\frac{x}{4} + b[/tex]

Through (0, -3)

This means that [tex]b = -3[/tex]

So

[tex]y = -\frac{x}{4} - 3[/tex]

Answer=

Jovan is 15 years old. His sister is 6 years older than 13 his age.

How old is Jovan’s sister?

Step-by-step explanation:

15-6/ 1/3=13 years old

Answer: Amy = domestic stock

Rick = Employer stock

Nisha = International stock

Step-by-step explanation:

Amy invests in shares that won't be affected by exchange rate fluctuations. This shows that the stock that Amy invested in is a domestic stock. These are the stocks that are usually sold by companies in the home country.

As a part of Rick's full-time benefits package, he can invest in compally stock. This shows that Rick invested in the employer stock.

Nisha needs to research the political situation in a specific country before she purchases stock. Nisha invested in an international stock.

Answer:

-priming is not used..... is answer

Step-by-step explanation:

I hope it's helpful!

Answer:

$2448 in a year

Step-by-step explanation:

$63,648 ÷ 52 = $1224 a week (this would be how much he earns per week)

Since he is not getting paid for two week we do 52 - 2 = 50 week of work.

Since per week salary is $1224 we multiply by 2 for two weeks = $2448

Before $63,648 - $2448 = $61200 per year (Now he's making $61200/year)

Hope this helps,

if so please mark Brainlist,

Thanks!

Answer:

increase by 25 percent

Step-by-step explanation:

(50-40)/40 × 100%=25%

Answer:

increase by 25%

Step-by-step explanation:

10/40 × 100 = 25

Answer:

12  home work

Step-by-step explanation:

Step one:

given data

A student has 30 homework questions to complete

the student completes 2/5 of the homework questions.

Required

The number of completed homework

Step two:

The number of completed homework= 30*2/5

The number of completed homework= 60/5

The number of completed homework= 12

Answer:

All you have to do is write how you feel about this it's simple :|

Step-by-step explanation:

Answer:

A: 50

Step-by-step explanation:

because its 50$ for setup and 30 each hour for 5 hours. so 30x5=150 +50 = 200÷ nelson and 3 friends =50$ each

Answer:

Step-by-step explanation:

I did it wrong rip

Answer:

71.25

Step-by-step explanation: