1. Find the ratio of the width to the length of the rectangular swimming pool sketched below.
15
A.
-yards
34
width = 7.5 yards
yards
4
В.
19
C
19
yards
15
length = 9.5 yards
D.
15
yards
19

Answer:

V = 255.98189 pi

SA = 172.64114π

Step-by-step explanation:

The first thing to do is find the radius.

the measure of angle AKO = 1/2 the measure of angle AKB

m< AKO = 12.5 degrees

Now use trig to find AO (aka the radius)

tan(12.5) = AO/25

AO = 25* tan(12.5)

I'm leaving it like this to get a more accurate number

Now to find the volume

the volume of a cone is pir^2h/3

plugging everything in we get:

pi(25*tan(12.5))^2 * 25/3

which is about 255.98189 pi

Now for surface area

(this is the moment I realize symbols exist)

SA = πr(r+√h²+r²)

plugging everything in we have

π(25tan(12.5))((25tan(12.5)+√625+(25tan(12.5))^2)

I know it looks like a lot but that's mainly because I left the radius as 25tan(12.5)

The Surface Area is about 172.64114π

Answer:

A=[tex]\pi[/tex]r²

A=[tex]\pi[/tex]100

A=314.159

2 slices = 1/4

1/4x314.159=78.5399 centimters squared.

Paragraph:

    Firstly, the question has an error.  It says that the personal pan pizza is 80 cm³.  It should be cm², since it’s area and not volume. You have to figure out the area of the 20 inch pizza using A=[tex]\pi[/tex]r².  Since the diameter is 20, the radius is 10, and the area ends up being 314.159.  Two slices is 1/4 of the diameter, or 0.25.  Multiply 314.159x0.25, and. You get 78.5399 square centimeters.  This is just under the 80 that he is allowing himself, so he has made the correct choice.

Step-by-step explanation:

A=[tex]\pi[/tex]r²

A=[tex]\pi[/tex]100

A=314.159

2 slices = 1/4

1/4x314.159=78.5399 centimters squared.

Paragraph:

    Firstly, the question has an error.  It says that the personal pan pizza is 80 cm³.  It should be cm², since it’s area and not volume. You have to figure out the area of the 20 inch pizza using A=[tex]\pi[/tex]r².  Since the diameter is 20, the radius is 10, and the area ends up being 314.159.  Two slices is 1/4 of the diameter, or 0.25.  Multiply 314.159x0.25, and. You get 78.5399 square centimeters.  This is just under the 80 that he is allowing himself, so he has made the correct choice.

Answer:

Adeles forgot to square root 25 in step 4 therefore the solutions would be 1 and -9

Step-by-step explanation:

Equation : x² + 8x - 9 = 0

Step 1 : x² + 8x = 9

Step 2 :  x² + 8x + 16 = 9 + 16

Step 3 :  ( x + 4 )² = 25

Step 4 :  x + 4 = 25 or x + 4 = - 25

Step 5 :  x = 21 or x = - 29.

Answer:

y=3x+19

Step-by-step explanation:

x=3

(-4,7)(x,y)

y-7/x_-4=3

y-7=3(x+4)

y=3x+12+7

y=3x+19

Step-by-step explanation:

here you have the answer

Answer:

2 / 35

Step-by-step explanation:

Answer:

Here is the graph of y is a function of x.

Answer:

16a

Step-by-step explanation:

4a+12a=16a since they are the same variables.

Answer:

d

Step-by-step explanation:

Answer:

C. 1

Step-by-step explanation:

Use the first one since it is -4 so [tex]\sqrt[3]{-4+5} = \sqrt[3]{1} = 1[/tex]

Answer:

c.   1

Step-by-step explanation:

Answer:

2.1134 liters

Step-by-step explanation:

There are 4 quarts in a gallon and each quart is 1.0567 liters. 2 quarts are 1/2 a gallon. 1.0567*2=2.1134

9514 1404 393

Answer:

  2.  1.8927 L

  3.  603.22 cm²

Step-by-step explanation:

To convert units, multiply by a ratio whose value is 1. That is, the numerator and denominator are equal amounts, but have units that cancel ones you don't want and give you units you do want.

2.

  [tex]\displaystyle \frac{1}{2}\text{ gal}\times\frac{4\text{ qt}}{1\text{ gal}}\times\frac{1\text{ L}}{1.0567\text{ qt}}=\frac{4}{2\times1.0567}\text{ L}\approx\boxed{1.8927\text{ L}}[/tex]

__

3.

  [tex]A=LW=(8.5\text{ in})(11\text{ in})\times\left(\dfrac{2.54\text{ cm}}{1\text{ in}}\right)^2=\boxed{603.2246\text{ cm}^2}[/tex]

_____

Additional comment

It can be helpful to remember that a liter is larger than a quart. So 2 quarts will be less than 2 liters. (You may recall reading on the half-gallon container that it holds 1.89 L.)

Answer:

the answer is: False

Answer:

I think its B or C

Step-by-step explanation:

Answer:

D. 32 6/20

Step-by-step explanation:

6 4/5 ×4 3/4

=  

34/5× 19/4

=  

34× 19

5      4

=  

646

20

=  

646 ÷ 2

20 ÷ 2

=  

323

10

=  

32 3/10- which then is equal to 32 6/20 (If we multiply 3/10 by 2 we get 6/20)

Answer:

63 un²

Step-by-step explanation

Formula for Triangle = 1/2(b*h)

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

Lets input our numbers

b(base) = 21

h(height) = 6

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

Lets multiply

1/2(6 x 21) =

1/2(126) = 63

Now add the units

63 un²

Answer:

Do u mean like 19/12

Step-by-step explanation:

Like 76/48 it will be 19/12

Hope I helped u!!

19/12 is the fraction which is represented by rate of 76 dogs to 48 cat​.

To write the given rate, "76 dogs to 48 cats," as a simplified fraction, you need to express the number of dogs as the numerator and the number of cats as the denominator.

Therefore, the simplified fraction is:

76/48

To simplify this fraction, you can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 4:

(76 ÷ 4) / (48 ÷ 4)

= 19/12

Hence, 19/12 is the fraction which is represented by rate of 76 dogs to 48 cat​.

To learn more on Fractions click:

https://brainly.com/question/10354322

#SPJ6

Answer:

C

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

128 degrees

Step-by-step explanation:

360-90-90-52=128

Answer: need more of an explanation

Step-by-step explanation:

Answer:

26 in.

Step-by-step explanation:

Since angles A and C are congruent, sides BC and BA are congruent.

7x - 13 = x + 29

6x = 42

x = 7

AC = 3x + 5

AC = 3(7) + 5

AC = 21 + 5

AC = 26

Answer: 26 in.

Area of a trapezoid= (big base+small base)/2 x height

A=(67+54)/2 x 18

A=60.5 x 18

A=1089

Answer:

B) 12 hours

Explanation

Max can read 150 words per minute. 350 words per page divided by 150 is 2.333, so max can read 1 page in around 2 minutes. There are 310 pages. 2.333 * 310 is around 723. 723 minutes converted to hours is 12 hours. Boom. Done.

Answer:

He is wrong

Step-by-step explanation:

£1.30(cost of 1 egg box) x 2=£2.60

2.60(2 egg boxes)+2.60(price of juice)=£5.20(amount spent without baguettes)

10-5.20(amount spent without baguettes)=£4.80

4.80/3=£1.60

£1.60=cost of one baguette

Sam is wrong as the cost of one baguette is £1.60

Answer:

28 units and 7 units per minute.

Step-by-step explanation:

So if it's a negative number like -5 with a positive number, you have to add.

It would be like ( 5 + 23 ) = 28.

Since it took the bug 4 minutes, divide 28 ÷ 4.

28 ÷ 4 is 7 units per minute.

Sorry if it's wrong...

Answer:

option b is your answer. look it once

Y= 3

Just did my test and got it correct

The correct equation describes the asymptote of the exponential function represented by this graph is,

⇒ y = 3

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Since, The exponential function of the type,

⇒ y = a (bˣ) + c

Which has the horizontal asymptote at y = c.

Hence, From the given graph, we can see that as x tends to positive infinity, Thus, the curve tends to;

⇒ y = 3

Thus, The correct equation describes the asymptote of the exponential function represented by this graph is,

⇒ y = 3

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ3