On the map below, 1⁄4 inch represents one
mile. Candler, Canton, and Oteen are three
cities on the map.

If Candler and Oteen are 3 1⁄2 inches apart
on the map, what is the actual distance
between Candler and Oteen in miles?

Answer:

A)

[tex]\displaystyle \frac{dy}{dt}=-\frac{33}{8}[/tex]

B)

[tex]\displaystyle \frac{dx}{dt}=\frac{3}{2}[/tex]

Step-by-step explanation:

x and y are differentiable functions of t, and we are given the equation:

[tex]xy=6[/tex]

First, let's differentiate both sides of the equation with respect to t. So:

[tex]\displaystyle \frac{d}{dt}\left[xy\right]=\frac{d}{dt}[6][/tex]

By the Product Rule and rewriting:

[tex]\displaystyle \frac{d}{dt}[x(t)]y+x\frac{d}{dt}[y(t)]=0[/tex]

Therefore:

[tex]\displaystyle y\frac{dx}{dt}+x\frac{dy}{dt}=0[/tex]

A)

We want to find dy/dt when x = 4 and dx/dt = 11.

Using our original equation, find y when x = 4:

[tex]\displaystyle (4)y=6\Rightarrow y=\frac{3}{2}[/tex]

Therefore:

[tex]\displaystyle \frac{3}{2}\left(11\right)+(4)\frac{dy}{dt}=0[/tex]

Solve for dy/dt:

[tex]\displaystyle \frac{dy}{dt}=-\frac{33}{8}[/tex]

B)

We want to find dx/dt when x = 1 and dy/dt = -9.

Again, using our original equation, find y when x = 1:

[tex](1)y=6\Rightarrow y=6[/tex]

Therefore:

[tex]\displaystyle (6)\frac{dx}{dt}+(1)\left(-9)=0[/tex]

Solve for dx/dt:

[tex]\displaystyle \frac{dx}{dt}=\frac{3}{2}[/tex]

Answer:

The measure of a snart is 2 and that of a snert is 8.

Step-by-step explanation:

Represent the size of a snert by e and that of a snart by a.

Then e - a = 6.  This assumes that e > a.

2e + a = 18.  Substitute e - 6 for a, obtaining:

2e + (e - 6) = 18.

Simplifying, we get

2e + e - 6 = 18, or

3e = 24, and so

e = 8

Remembering that e - a = 6, we have 8 - a = 6.  Then a must be 2.

The measure of a snart is 2 and that of a snert is 8.

Answer:

22

Step-by-step explanation:

308/70 = 4.4

4.4 * 5

Answer:

A

Step-by-step explanation:

You can look at the graph and infer that the line passes through 32 34 36 and so on

or

you can substitute y for the bill and x for the number of songs to see which graph is correct

y = 30 + 2x

For A, the line goes through 32 34 36 38 40 42 44 46 and 48

You can plug in 32 for y and 1 for x and so on

32 = 30 + 2*1 = 30 + 2

34 = 30 + 2*2 = 30 + 4

36 = 30 + 2*3 = 30 + 6

38 = 30 + 2* = 30 + 8

and so on

Answer:

2.5 hours

Step-by-step explanation:

If it takes 3 hours at 50 mph, it's traveling 150 miles (3 x 50)

150 miles at 60 mph is 2.5 hours (150/60)

It is a

Scalene and Right angle

Answer:

The foot of the ladder is 10 feet away from the base of the wall.

Step-by-step explanation:

Here , the wall , top and foot of the ladder and ground makes a right triangle of which length of ladder

h = 20  is regarded as hypotenuse, angle with ground is θ = 60 ;cos θ = b/h or cos 60 = b/20 or b = 20*cos 60 = 20* 1/2 = 10 feet.

The foot of the ladder is 10 feet away from the base of the wall. [Ans]

answer: The foot of the ladder is 10 feet away from the base of the wall.

The foot of the ladder is 10 feet away from the base of the wall.

explanation:

Here , the wall , top and foot of the ladder and ground makes a right triangle of which length of ladder

h = 20  is regarded as hypotenuse, angle with ground is θ = 60 ;cos θ = b/h or cos 60 = b/20 or b = 20*cos 60 = 20* 1/2 = 10 feet.

Answer:

the answer for this question is C

Step-by-step explanation:

base radius = 0.8

Height = 3.5

Volume of a cone =

[tex] \frac{1}{3} \pi {r}^{2} h[/tex]

V=1/3 x 3.14 x 0.8^2 x 3.5

V=2.3445 in^3

V= 2.34 in^3

Answer:

yan lang po hindi ko alam

Step-by-step explanation:

sorry po hindi ko alam ehh

Answer:

A,C, and E

Step-by-step explanation:

a. 8x - 6x - 3 - 2

=2x-1 YES

b. 9 -7x + 3x -8

=9-8-7x+3x NO

c. x + x - 1

2x-1 YES

d. 3x + 2 -x - 2

=3x-x+2-2

2x+0 NO

e. -5 + 10x - 8x + 4

=10x-8x-5+4

=2x-1 YES

Hope it helps!

Answer:

hold on the answer in the picture

Step-by-step explanation:

sry for it being so blurry

i  think the numbers are the same

Answer:

i think the answer is 354,900.

Step-by-step explanation:

Answer:

32°

Step-by-step explanation:

Since the 147° angle and ∠2 form a Linear pair, sum of these angle must be 180°

147° + ∠2 = 180°

∠2 = 180° - 147°                       [subtracting 147° from both sides]

∠2 = 33°

Since all internal angles of a triangle add up to 180°,

∠1 + ∠2 + 115° = 180°

∠1 + 33° + 115° = 180°

∠1 + 148° = 180°

∠1 = 180° - 148°                       [subtracting 148 from both sides]

∠1 = 32°

Answer:

Step-by-step explanation:

Answer:

is this the full question?

Step-by-step explanation:

Answer:

five-number summary

Step-by-step explanation:

9514 1404 393

Answer:

  x = 20

Step-by-step explanation:

The external angle at V is half the difference of the subtended arcs:

  (65° -25°)/2 = x° = 40°/2

  x = 20

Answer:

P=n*s

Step-by-step explanation:

n is the number of sides and s is the length of any one side.

Answer:

It depends on the polygon.

Perimeter is the distance around a figure, so the formula changes for what type of polygon it is. For example, a square would be 4l or the length of one side times 4.

To find the perimeter for any polygon, regular or irregular, use the distance formula for each side. Then add all values together.

The distance formula is [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]

Where [tex](x,y)[/tex] is one edge and [tex](x_2 , y_2)[/tex] is another edge, both belonging to the same side. This formula calculates the unit length of a side of your choice. For irregular figures, you have to use this formula for every side. For regular figures, just multiply the distance by how many sides there are.

Distance calculator for 2d grid: https://www.calculatorsoup.com/calculators/geometry-plane/distance-two-points.php

Distance formula explanation: https://www.khanacademy.org/math/geometry/hs-geo-analytic-geometry/hs-geo-distance-and-midpoints/v/distance-formula#:~:text=Learn%20how%20to%20find%20the,distance%20between%20any%20two%20points.

Answer:

175%

Step-by-step explanation:

The first one is a whole=1

the second one is cut in four but only 3 are shaded so 1/4=0.25    0.25*3=0.75

3/4/0.75 is shaded

so 1+0.75=1.75

1.75=175%

Answer:

$49.82

Step-by-step explanation:

Since each gallon is $2.12 you would just do $2.12 times 23.5 which equals $49.82. So Mariela spent $49.82 on gas

Answer:

6,600,000,000

Step-by-step explanation:

six billion 6 hundred million

Answer:

The answer is 12x¹⁰y⁴.

Hope this helped!!

Step-by-step explanation:

1. ( 4x⁷y² ) ( 3x³y²)

2.  4x⁷y² ₓ  3x³y²

Answer:

[tex]5x - 4 = 4 + 4x \\ 5x - 4x = 4 + 4 \\ x = 8[/tex]

Answer:

x<8

Step-by-step explanation:

5x-4<4(1+x)

= 5x-4<4+4x

= 5x-4-4x<4

=5x-4x<4+4

= x<4+4

= x < 8

first distribute the 4 into the parenthesis on the right side of the expression. next collect like terms, so move the x's to the left side and the two fours to the other side. simplify both sides to find the answer.

i hope this helps :)

Answer:

a cylinder, a sphere, and that little half sphere thing, oh and a triangular pyramid

Step-by-step explanation:

Answer:

X=20

Step-by-step explanation:

3x=2x+20

X=20

Answer:

12 people can fit so the van had enough sests

Answer: 11 kg

Step-by-step explanation:

Given

Shelia buys 33 kg of rice and 9 kg of cornmeal

The amount of flour bought is one-third of the amount of rice bought

The amount of flour is

[tex]\Rightarrow \dfrac{33}{3}=11\ kg[/tex]

Answer:

a.) 10,000

b.) 512

Step-by-step explanation: