Write the equation of the line in slope-intercept form.

3x - 2y = 8 +

===》 46x = 16

43x + 2y = 8

x = 16/46

x = 8/23

______________________________

3x - 2y = 8

3(8/23) - 2y = 8

24/23 - 2y = 8

2y = 24/23 - 8

y = 12/23 - 4

y = 12/23 - 92/23

y = - 80/23

9514 1404 393

Answer:

  4. height: 5√3 cm; area: 25√3 cm²

  5. 30√2 ft ≈ 42.43 ft

Step-by-step explanation:

4. The height of an equilateral triangle is (√3)/2 times the side length, so is ...

  height = (√3)/2 × (10 cm) = 5√3 cm

The area is given by the formula ...

  A = 1/2bh

  A = 1/2(10 cm)(5√3 cm) = 25√3 cm²

__

5. The diagonal of a square is √2 times the side length, so the distance from 3rd to 1st base is ...

  (30 ft)√2 ≈ 42.43 ft

__

The length of the diagonal of a square is something you should be familiar with. If you're not, you can figure the distance using the Pythagorean theorem.

  d = √(30² +30²) = √1800 ≈ 42.43 . . . feet

Answer:

Surface Area = 100.531

Volume =  75.398

Step-by-step explanation:

(S.A)

Formula for the S.A of a right circular cylinder:

2πr² + 2πr(h)

We know that in the given figure,

height (h) = 6cm

radius (r) = 2 cm

So now we can substitute it in for the equation above:

=> 2π(2)² + 2π(2)(6)

=> 2π(4) + 2π(12)

=> 25.133 + 75.398

=> 100.531

(V)

The formula of the volume of a right circular cylinder: πr²h

=> π(2)²(6)

=> π(4)(6)

=> 75.398

Hope this helps!

Answer:

surface area = 100.53    volume is 75.4

Step-by-step explanation:

surface area of a cylinder is [tex]2\pi r^{2} +2\pi rh[/tex] you need to know the radius and height to find the volume ad surface area of a cylinder

Answer:

outer circle=22/7×8^2

=201.143

inner circle=22/7×2^2

=12.571

shaded portion= 201.143-12.571

=188.572cm^2

Answer:

60π

Step-by-step explanation:

Answer:

13) 142° (intercepted arc is twice the inscribed angle)

14) 23° (inscribed angles is half of the intercepted arc)

15) Since RT is a diameter and arcRS = 46°, then arcST = 180° - 46 = 134°

16) Using the result of #13, arcRQ = 180° - 142° = 38°

We have a problem of a proportional relation. We will find that the plant will grow a full 10 inches after 10 months.

We can write the proportional relationship:

g = a*m

Where g is the growth, m is the number of months that passed, and a is the amount that the plant grows each month.

Then we have a = 1 inch/month.

m = number of months.

The equation becomes:

g = (1 in/month)*m

To find how long will it take for the plant to grow a full 10 inches, we just need to replace g by 10 in.

10 in = (1 in/month)*m

(10 in)/(1 in/month) = m

10 months = m

The plant will grow a full 10 inches after 10 months.

If you want to learn more, you can read:

https://brainly.com/question/13821491

Answer:

x² + (y + 8)² = 49

Step-by-step explanation:

You didn't ask a question

Did you want the equation for the circle?

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

Standard form is

(x - h)² + (y - k)² = r²

using (h, k) = (0, -8)

x² + (y + 8)² = r²

use the area to find r²

a = πr²

49π = πr²

Divide both sides by π

49 = r²

Now the equation can be completed

x² + (y + 8)² = 49

Answer:

I believe this answer would be m<C = 86.5 degrees

Answer:

180

Step-by-step explanation:

[tex] sa = 2( \frac{1}{2} )(6)(4) + 10(5 + 5 + 6)[/tex]

[tex] = 24 + 10(16)[/tex]

= [tex]24 + 160[/tex]

[tex]180[/tex]

..................

hope it helps...

have a great day! ! !

Answer: total surface area would be 28.3310501 cm2 or 28.3 cm2 rounded to the nearest tenth

Answer:

30/200 or 15%

Step-by-step explanation:

ok so I gotta find the total which is 16+19+30+48+32+55=200

so it's 30/200 or 15%

Given:

Three different integer addition expressions equal −5.

To find:

The three different integer addition expressions.

Solution:

We know that 0 is the identity element under addition. It means if we add 0 to a number we get the same number.

[tex](-5)+0=-5[/tex]

One expression is [tex](-5)+0[/tex].

The other expression are:

[tex](-6)+1=-5[/tex]

[tex](-7)+2=-5[/tex]

Therefore, the three different integer addition expressions that are equal to -5 are [tex](-5)+0,(-6)+1,(-7)+2[/tex].

Answer(s):

[tex]\displaystyle y = 4sin\:(x + \frac{\pi}{2}) - 1 \\ y = 4cos\:x - 1[/tex]

Explanation:

[tex]\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{2}} \hookrightarrow \frac{-\frac{\pi}{2}}{1} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{2}{1}\pi \\ Amplitude \hookrightarrow 4[/tex]

OR

[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow -1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{2\pi} \hookrightarrow \frac{2}{1}\pi \\ Amplitude \hookrightarrow 4[/tex]

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the photograph on the right displays the trigonometric graph of [tex]\displaystyle y = 4sin\:x - 1,[/tex] in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [photograph on the right] is shifted [tex]\displaystyle \frac{\pi}{2}\:unit[/tex] to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACK [tex]\displaystyle \frac{\pi}{2}\:unit,[/tex] which means the C-term will be negative, and perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-\frac{\pi}{2}} = \frac{-\frac{\pi}{2}}{1}.[/tex] So, the sine graph of the cosine graph, accourding to the horisontal shift, is [tex]\displaystyle y = 4sin\:(x + \frac{\pi}{2}) - 1.[/tex] Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph hits [tex]\displaystyle [0, 3],[/tex] from there to [tex]\displaystyle [2\pi, 3],[/tex] they are obviously [tex]\displaystyle 2\pi\:units[/tex] apart, telling you that the period of the graph is [tex]\displaystyle 2\pi.[/tex] Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = -1,[/tex] in which each crest is extended four units beyond the midline, hence, your amplitude. So, no matter how far the graph shifts horisontally, the midline will ALWAYS follow.

I am delighted to assist you at any time.

Answer:

Here's a pdf that has questions and answers on it 7.6 Applications answer key.pdf

Step-by-step explanation:

Answer:

Maybe I think it is 4/11............

Answer:

£ 38.4

Explanation:

64 ÷ 5 = 12.8

12.8 × 3 = 38.4

Answer:

24 and 40

Step-by-step explanation:

3+5=8

3/8x64

= 24

5/8x64

= 40

thenks and makr me brainliestt :))

10,20,30,40,50,60,70,80,90

Answer:

City 1 and City 2

Step-by-step explanation:

The water is moving down stream, moving from City 1-2-3-4 in that order.

if water was taken a the X mark, the pollutants would have to have come from the cities above where the sample was taken.

Hope this helps!

Answer:

City 1 and 2.

Step-by-step explanation:

To be completely honest I have never done a problem like this before but I am fairly confident with my answer. As it can't be city 3 or 4 as they are after the polluted water sample was taken and the river is flowing down. The only two options it could be is city 1 and 2.

I hope this helps!

Answer:

10

Step-by-step explanation:

it should be 10

Answer:

[tex]\frac{91+129+16}{44}[/tex]

Step-by-step explanation:

Answer:

85

Step-by-step explanation:

out of 100 aka 100%, 15% is taken so subtract the too and you get 85

Answer:

wnnsnsmamamamamas

Step-by-step explanation:

jsmallaam By sna

Answer:

I hope you understand what I wrote

Answer:

7) An angle that measures 45° has a tangent of 1.

8) The sine and cosine ratios are equal.

9) The sine of a 30° angle is 0.5.

10) The cosine of a 30° angle is equal to the sine of a 60° angle.

Step-by-step explanation:

Question 7 explanation: In a right triangle, if one angle measures 45°, that means the non-hypotenuse sides are equivalent, so the tangent of a 45° angle is 1.

Question 8 explanation: The sine and cosine ratios of a 45° angle are always equal since the opposite and adjacent side of a right triangle will be the same length, and they both are divided by the hypotenuse.

Question 9 explanation: In a 30°, 60°, 90° right triangle, the side opposite to the 30° angle is always half the length of the hypotenuse, so the sine of a 30° angle is 0.5.

Question 10 explanation: The sine of a 60° angle is equal to the cosine of a 30° angle because the sine of an angle will always be equivalent to the cosine of its complementary angle, or the angle that results from 90° subtracted from that angle. So the cosine of a 30° angle will be equivalent to the sine of a 60° angle.

Answer:

2 1/3 planes

Step-by-step explanation:

3.5 lego planes / 60 minutes

So fraction =

3.5/60

In 40 minutes he will build x planes

So the fraction equation is:

3.5/60 = x/40

Solve:

Cross multiply =

140 = 60x

x = 2 1/3

2 1/3 planes

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

a) M(-1, 4.5)

b) 10.63

c) 7/8

Step-by-step explanation:

a)

x = (3 + (-5))/2 = -1

y = (8 + 1)/2 = 4.5

M(-1, 4.5)

b) d = sqrt[(x1-x2)^2 + (y1-y2)^2] = sqrt(113) = 10.63

c) m = (y2-y1)/(x2-x1) = 7/8

Answer:

18m i thnk

Step-by-step explanation:

Answer:

-1

I guess

Step-by-step explanation:

Answer:

Here are the three equivalent fractions of 5/8.

10/16 15/24 20/32