F1.8
19.
Sam has a cylindrical fish tank with
an open top. The tank has height
30cm and radius 20cm. What is the
total surface area of the tank?

Given:

Triangle ABC and triangle DEF are similar triangles.

To find:

The proportion that can be used to find the length of segment DE.

Solution:

We know that the corresponding sides of similar triangles are proportional.

Triangle ABC and triangle DEF are similar triangles. So, their corresponding sides must be proportional.

[tex]\dfrac{AB}{DE}=\dfrac{BC}{EF}=\dfrac{AC}{DF}[/tex]

[tex]\dfrac{AB}{DE}=\dfrac{BC}{EF}[/tex]

[tex]\dfrac{4}{DE}=\dfrac{3}{9}[/tex]

[tex]\dfrac{4}{3}=\dfrac{DE}{9}[/tex]

Therefore, the correct option is A.

Answer:

35

Step-by-step explanation:

Since repetition is allowed, we use the equation

((n+r-1)!/(r!(n-1)!) = 7!/(3!x4!) = 35

Answer:

f(x) = 40 × (1.3)ˣ

Step-by-step explanation:

4. The given parameters of the population of mountain goats are;

The initial number of mountain goats, a = 40

The rate at which their population will increase, r = 30% = 0.3 exponentially

The total population after 'x' years is given by f(x)

For exponential growth, we have;

f(x) = a·(1 + r)ˣ

Plugging in the values, we get;

f(x) = 40 × (1 + 0.3)ˣ = 40 × (1.3)ˣ

Answer:

89.5 cm

Step-by-step explanation:

circumference of full circle = π2r = 3.14 x 2 x 19 = 119.32 cm

(270/360)(119.32) = 89.5 cm

Answer:

48,000,000

Step-by-step explanation:

just multiply them all

Answer:

See below

Step-by-step explanation:

The answer is attached

Answer:

It has 13 sides.

Step-by-step explanation:

The equation for total interior angle is x = 180(n - 2)

fill it out and solve

1980 = 180(n - 2)

1980 = 180n - 360

2340 = 180n

n = 13

Answer:

You have to add water.

Step-by-step explanation:

I hope this helps! Have a great rest of your day!

The decision to add water to meet the 4 cup mark of water would be:

Yes, the water must be added.

"Volume" is described as the measure of a space that consists of length along with height and width.

Given that,

1 liter of water contains 1000 ml.

The capacity of a standard cup is 236.59 ml

If we take 4 cups, the total volume equals:

= 4 × 236.59

= 946.36 ml

Therefore, .23 cups or 53.64 ml of water would be required to be added.

Learn more about "Volume" here:

brainly.com/question/1578538

Answer:

Step-by-step explanation:

Rational numbers:

(150+160)/2 = 310/2 = 155

(150+155)/2 = 305/2= 152.5

(155 +160)/2 = 315/2= 157.5

155, 152.5 , 157.5 are rational numbers between 150 and 160

Irrational numbers:

Irrational numbers are numbers that are non terminating and non repeating numbers

155.502003000.....

155.202002000......

156.3120578.......

Answer:

1st rational number

= a + b/2

= 150 + 160/2

= 310/2 (1)

2nd rational number

Middle term of 150 and 160 is 155

= 150 + 155/2

= 305/2

3rd rational number

= 160 + 155/2

= 315/2

[tex] \\ [/tex]

Answer:

B. 315 meters

Step-by-step explanation:

The length of the longer side of the lot on drawing = 6.3 cm

Given a scale of 1cm : 50 m

Let the length of the longer side be represented as x.

Therefore, the actual length of the longer side will be calculated as follows:

1:50 = 6.3:x

1/50 = 6.3/x

Cross multiply

x*1 = 50*6.3

x = 315

Actual length of the longer side of the lot = 315 meters

Answer:

the probability of getting 2 greens is 2/13

Step-by-step explanation:

Answer:a)m =K n

b)m = 32

c)n=15

Step-by-step explanation:

M varies directly as n can be expressed mathematically as

m ∝ n

Introducing the constant of proportionality, K, we have that

m =K n

Now when m=14 and n=7, K becomes

14=K X 7

K=14/7 = 2

b) find m when n=16

m =K n

m = 2 x 16=32

c) find n when m=30

m =K n

30=2 x n

n=30/2 =15

Expression is formed using numbers, variables, and mathematical operations. The value of m, when the value of n is 16 is 32.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

As we know that the value of m is directly varying with n, therefore, we can write the relationship as,

[tex]m \propto n[/tex]

Now, in order to remove the proportionality, we will add a constant,

[tex]m = kn[/tex]

As the value of m and n is given as 14 and 7, substitute the values in order to get the value of the constant k,

[tex]m = kn\\14 = k(7)\\\dfrac{14}{7} = k\\k=2[/tex]

We know the value of the constant k is 2, therefore, the equation can be written as,

[tex]m=2n[/tex]

Substitute the value of n as 16, to get the value of m,

[tex]m=2n\\m=2(16)\\m=32[/tex]

Hence, the value of m, when the value of n is 16 is 32.

Learn more about Expression:

https://brainly.com/question/13947055

Answer:

21.

Step-by-step explanation:

M a t h .

Answer:

It’s company- 2 and 4

External- 1 and 3

Step-by-step explanation:

its right

Answer:

- 2x - 1

Step-by-step explanation:

[tex]g(x)=x-3 \\ f(x) = -2x + 2 \\ g(f(x)) = ( - 2x + 2) - 3 \\ g(f(x)) = - 2x + 2 - 3 \\ g(f(x)) = - 2x - 1[/tex]

Answer:

1,345,456,232,999, 777,344

Step-by-step explanation:

1,345,456,23   4,   2   3    4,   3    4     5,   2    3      4,

                        -1    2   3     4,    5   6     7,   8    9     0        

1,345,456,23    2,  9   9     9,    7     7    7,   3   4     4      

So we write the ones under the ones, tens under the tens  starting from the right hand side.

The first numbers can be easily subtracted as 4 is greater than zero. Then comes 3 which is less than 9 so we borrow 1 digit from the left to right to make it 13 and subtract 9 from it and get a 4. Then we are left with 1 as we have already borrowed 1 digit. As 1 is less than 8 we again borrow 1 digit from the left to make it 11 and subtract 8 and get 3. So the next number is 4 as we have already borrowed 1 and it is less than 7 . Again we will borrow 1 digit from the left to make it 14 and subtract 7 to get a 7.

So the process continues until we get the answer.

Answer:

Theo practices yoga on Saturday 57 more minutes.

Step-by-step explanation:

With the information provided, you can find the total amount of minutes Theo practices yoga that would represent 100% using a rule of three considering that you know that 24% of his daily yoga practice is equal to 18 minutes:

24%    →    18

100%   →     x

x=(100*18)/24=75

As you need to find how many more minutes does Theo practice yoga on Saturday, you have to subtract 18 minutes that is the amount he has already spent practicing yoga from 75 that is the total amount of minutes he practices yoga:

75-18=57

According to this, Theo practices yoga on Saturday 57 more minutes.

Answer:

hey bbs

Step-by-step explanation:

Answer:1  0.05806644 2 64.3818067 m2 3 10.8696557 m2 4  80.2682266 m2 0.13935456 m2 and 15.7935168 m2

Step-by-step explanation:

Answer:

55 mph for 3.5 hours would be 192.5 miles. 60 mph for 2.5 hours would be 150 miles. The total of mile Ms. Logan went is 342.5.

Answer:

99+3b

Step-by-step explanation:

The original equation would be 3(33+b), but simplifying it would get 99+3b.

Answer:

Step-by-step explanation

+ \ x -

Answer:

1/3

Step-by-step explanation:

(-6,0) (-3,1)

1-0/ -3 - -6 = 1/3

Answer: 200 cats in total

Step-by-step explanation:

60 calico cats represents 30% of the total cat population in the shelter.

That means that if we find 30% of the total number of cats, the number we will get is 60.

Assuming the total is x, representing this in equation form makes it:

x * 30% = 60

x = 60 / 30%

x = 200 cats in total

Answer:

Step-by-step explanation:

The Standard Penetration Test (SPT) is a widely used geotechnical test used to estimate soil strength. A SPT hammer drives a split barrel sampler at the bottom of a drive rod and recovers soil samples.

Answer:

[tex]6n + 3 + 2n = 8n + 3[/tex]

[tex]99-9-9 = 81[/tex]

[tex]2p + 3p+ 6-p-3 = 4p + 3[/tex]

[tex]2.25(14.3m + 6 + 2.7m) = 38.25m + 15.5[/tex]

Answer:

C. 12 (2m - p + 6)

Step-by-step explanation:

just distribute

12 (2m) = 12m

12 (- p) = -12p

12 (6) = 72

Answer:

9) 5

10) 5x+2

11) -1

12) -x+6