In the triangle shown below, which altitude length can be found without using the Distance Formula? What is the length?

Answer:

point B is in quadrant I and point D is in quadrant II

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given that the radius of a bubble increases by 4%.

Let r be the radius of the spherical bubble, so the new radius of the sphere

[tex]R= r+0.04r = 1.04r\cdots(i)[/tex]

(a) Surface area of the bobble,

[tex]s=4\pi r^2[/tex]

So, the rate of increase of surface area = [tex]4\pi R^2 -4\pi r^2= 4\pi(R^2-r^2)[/tex]

The percentage change in the surface area [tex]= \frac {4\pi(R^2-r^2)}{4\pi r^2}\times 100[/tex]

By using equation (i)

The percentage change in the surface area = [tex]\frac {(1.04r)^2-r^2}{ r^2}\times 100[/tex]

[tex]=(1.04^2-1)\times 100[/tex]

=8.160%

Therefore, the percentage change in the surface area is 8.160%

(b) The volume of the sphere = [tex]4/3 \pi r^3[/tex]

So, the change in the volume = [tex]4/3 \pi R^3-4/3 \pi r^3[/tex]

Percentage change in the volume =

[tex]\frac {4/3 \pi R^3-4/3 \pi r^3}{4/3 \pi r^3}\times 100[/tex]

[tex]=(1.04^3-1)100[/tex] [by using equation (i)]

=12.486%

Therefore, the percentage change in the volume is 12.486%.

Answer:

2

Step-by-step explanation:

substitute x=0 and find y

Answer:

$15 dependant variable, month is the independent variable

Answer:

Step-by-step explanation:

5 miles = 8 km

Then:

Then 27.4 miles is:

Answer:

The equation used to find x, the cost of Eric's lunch is [tex]\mathbf{0.2(x+10)=5}[/tex]

Option A is correct option.

Step-by-step explanation:

Chad and Eric left a 20% tip after having lunch at a restaurant.

Cost of Chad Lunch = $10

Let Cost of Eric's lunch = x

So, Total cost of Chad and Eric's Lunch = x+10

Now, they left a 20% tip

it means 20% of total cost of lunch

20% can be written as 0.2

So, 0.2 of total cost of lunch is tip of the meal

We can write: 0.2 of (x+10)

or 0.2(x+10)

Looking at options, considering $5 was the amount of tip, the final equation will be:

[tex]0.2(x+10)=5[/tex]

So, the equation used to find x, the cost of Eric's lunch is [tex]\mathbf{0.2(x+10)=5}[/tex]

Option A is correct option.

Answer:

5/13

Step-by-step explanation:

by using SO TO CA

H A H

sin can be obtained

Answer:

hope my answer is helpful to you

plz mark me as brainlist and also follow me

Answer:

x=24 or x= −24

Step-by-step explanation:

Step 1: Take square root.

x = ± √576

x=24 or x= −24

Answer:

2.50C +5.00A=95

Step-by-step explanation:

In this equation, C represents the number of children attending and the A represents the amount of adults attending.

Answer:

The number of different ways the car can be built is 31 different ways

Step-by-step explanation:

The given options are'

1), Leather seats, 2) Heated seats, 3) Sunroof, 4) Tinted windows, 5), back up camera

Therefore, the number of different ways the car can be built, n, is given as follows;

n = ₅C₁  + ₅C₂ + ₅C₃ + ₅C₄ + ₅C₅

n = 5 + 10 + 10 + 5 + 1 = 31 different ways

The number of different ways the car can be built = n = 31 different ways

Answer:

sum of interior angle of polygon = (2N-4) X 90 where N =number of sides

so (2N-4)x90=1980

therefore N=13.

therefore polygon has 13 sides

Answer:

To know how many sides has this polygon, knowing the sum of their interior angles, we can use this expression:

b = (n-2) * 180

Where b is the sum of the interior numbers and n the number of sides.

Knowing this, we can replace, as we kno w it

b = (n-2)) * 180

1980 = (n-2)*180

We can know solve the equation

We can use this distributive property to operate the parenthesis, which says that if we find this expression a(b+c), we can operate doing ab+ac, and, if we substract, we can also use it, as a(b-c) = ab-ac

1980 = (n-2)*180

1980 = 180n - 180*2 = 180n - 360

1980 = 180n - 360

1980 + 360 = 180n

[tex]\frac{1980+360}{180} = n.[/tex]

13 = n

So we know the polygon will have 13 sides..

Answer: 11am

Step-by-step explanation:

To solve this, we have to calculate the lowest common multiple of 20 and 30. This will be:

20 = 20, 40, 60, 80, 100

30 = 30, 60, 90, 120, 150.

Here, the lowest common multiple is 60.

Therefore, we add 60 minutes to 10am. This will be:

= 10am + 1 hour

= 11 am

The next time that both buses leave at the same time would be 11am

Answer:

a. Yes. The difference is common and equal to $1750

b. $1750

c. $20000 was initial investment

d. This is linear equation with start point of 20000 and slope of 1750:

e. After another 10 years (on the top of 5 given) the investment will be:

f. After 20 years the value of investment will be:

Answer:

168

Step-by-step explanation:

Answer:

F(2)=3

Step-by-step explanation:

Answer:

It's a.

Step-by-step explanation:

15s*3+180＝225

30s*3+180＝270

60s*3+180＝360

30s*3+180＝270

Answer:

my answer is a bit different but kinda similar ig.

254.34in^2

Step-by-step explanation:

Radius = Diameter/2          18/2 = 9

Area of circle= pi(3.14) x r^2

A= (3.14) x 9^2

A= (3.14) x 81

A= 254.34in^2

Answer:

I can confirm that the answer is 3(254.34 in.2). I did it on Odyssey

Step-by-step explanation:

Answer:

I think is The little (D) -12.4.

Answer:

A multiple is the product result of one number multiplied by another number.

Step-by-step explanation:

Multiples are what we get after multiplying the number by an integer (not a fraction).

Example:

3 × 4 = 12, so 3 and 4 are factors of 12.

Hope this helps!

have a great day/night :D

Given:

The function is

[tex]f(x)=\log_5(x)[/tex]

To find:

The graph of the given function.

Solution:

We have,

[tex]f(x)=\log_5(x)[/tex]

At x=1,

[tex]f(1)=\log_5(1)[/tex]

[tex]f(1)=0[/tex]        [tex][\because \log_a(1)=0, a>0][/tex]At x=5,

[tex]f(5)=\log_5(5)[/tex]

[tex]f(5)=1[/tex]      [tex][\because \log_aa=1][/tex]

So, the graph of given function passes through the points (1,0) and (5,1). Only graph in option A passes through these two points.

Therefore, the correct option is A.

Answer:

B. -2

Step-by-step explanation:

A relation that is not a function would have one x-value having two different corresponding y-values.

If we choose -2 to represent b I the relation, the relation would not be a function. This is because, we there would be two different y-values, 8 and 1, that are assigned to one x-value, which is -2 ==> (-2, 8) and (-2, 1).

Answer:

1) y = (x-3)²-12

2) y = 5(x-2)²-9

Step-by-step explanation:

Given the quadratic expressions

y=x²-6x-3

We are to transform it in the form y=ax²+bx+c

y=(x²-6x)-3

Complete the square of the expression in parenthesis

y = (x²-6x + (6/2)² - (6/2)²)-3

y = (x²-6x+3²-3²)-3

y = (x²-6x+9-9)-3

y = (x²-6x+9)-12

y = (x²-3x-3x+9)-12

y = x(x-3)-3(x-3)-12

y = (x-3)(x-3)-12

y = (x-3)²-12

Hence the transformation is y = (x-3)²-12 where a = 1 and k = -12

For the quadratic equation

y=(5x²-20x)-5

y = 5(x²-4x)- 5

Complete the square of the expression in parenthesis

y = 5(x²-4x+4-4)- 5

y = 5(x²-4x+4)-9

y = 5(x-2)²-9

Hence the transformation is y = 5(x-2)²-9 where a = 5 and k = -9

Answer:

22m+42 is the answer

Step-by-step explanation:

All you have to do is simplify and add the common factors.