What transformation maps triangle XYZ onto triangle X'Y'Z'?

Answer: 11

Step-by-step explanation:

Given

The second term of an AP is 7

The sixth term of an AP is 23

Suppose a and d be the first term and common difference of the sequence

[tex]\Rightarrow 7=a+d\quad \ldots(i)\\\Rightarrow 23=a+5d\quad \ldots(ii)[/tex]

Subtract the above equations

[tex]\Rightarrow 23-7=5d-d\\\Rightarrow 16=4d\\\Rightarrow d=4[/tex]

Put d in equation (i)

[tex]\Rightarrow 7=a+4\\\Rightarrow a=3[/tex]

So, the third term of the AP is [tex]a+2d[/tex]

[tex]\Rightarrow 3+2\times 4=11[/tex]

Answer:

B: 4 lb shrimp and 8 lb flounder

Step-by-step explanation:

if the price of shrimp is twice the price for flounder, you will have twice as much flounder as you have shrimp, so in terms the only answer that applies to this is B.

Answer:

7.5

Step-by-step explanation:

Using pythagoras theorem

Sqrt(9^2-5^2)=7.483

Answer:

0.5

Step-by-step explanation:

sjsbdir rievrjrvrjrbrhdbdjdbekebejebsjsbsirvrirvrjrrhirvrjrbrjr dry it said it had to be 20 characters long

Answer:

6a

Step-by-step explanation:

Answer:

c=66°

Step-by-step explanation:

a=51°

51+63=114°

180-114°= 66°

Answer:

66

Step-by-step explanation:

a° = 51° (corresponding angles)

a = 51

a° + c° + 63° = 180° (interior angle sum postulate of a triangle)

51° + c° + 63° = 180°

c° + 114° = 180°

c° = 180° - 114°

c° = 66°

c = 66

Answer:

50

Step-by-step explanation:

Angle 95 and ( 2x - 5 ) are alternate interior angles.

Alternate interior angles are equal.

2x - 5 = 95

2x = 95 + 5

2x = 100

x = 100 / 2

x = 50

Answer:

The geometric mean is 9.798

Step-by-step explanation:

Answer:

13.416407864998738

Answer:

hiro ..................

Answer:

-10

Step-by-step explanation:

t3 = a1 + (n - 1)*d

t3 = a1 + (3 -1)*d

2 = a1 + 2d

t17 = a1 + (n - 1)*d

-40 = a1 + 16d                Put the first condition underneath and subtract

  2 = a1 + 2d

-42 = 14 d

d = - 3

2 = a1 + 2*(-3)

2 = a1 - 6                      Add 6 to both sides

2 + 6 = a1

a1 = 8

Now you want the 7th term

t7 = a1 + (n - 1)*d

t7 = 8 + (7 - 1)*d

t7 = 8 + 6*(-3)

t7 = 8 - 18

t7 = - 10

Step-by-step explanation:

SA= 2(5×11)+(5×12)+(11×12)

SA= 2(55+60+132)

SA= 2(247)

SA= 494cm^2

9514 1404 393

Answer:

  26.2 in³

Step-by-step explanation:

The formula for the volume of a cone uses the radius of the cone as one of its variables. Here, the diameter is given, so we need to divide it by 2 to find the radius.

  r = d/2 = (5 in)/2 = 2.5 in

The volume is ...

  V = 1/3πr²h

  V = (1/3)π(2.5 in)²(4 in) = 25π/3 in³ ≈ 26.2 in³

The volume of the cone is about 26.2 in³.

Answer:

Rate of the current: 19 kilometers per hour

Rate of the boat in still water: 80 kilometers per hour

Answer:

The probability is 0.7449

Step-by-step explanation:

Given

[tex]n = 12[/tex] ---- total

[tex]r = 5[/tex] --- selection

[tex]Genre =\{Rap(4), Country (5), Heavy\ metal (3)\}[/tex]

Required

Probability of buying at least 1 of each genre

First, we calculate the total possible selection.

To select 5 CDs from a total of 12, we use:

[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]

[tex]^{12}C_5 = \frac{12!}{(12 - 5)!5!}[/tex]

[tex]^{12}C_5 = \frac{12!}{7!5!}[/tex]

Expand

[tex]^{12}C_5 = \frac{12*11*10*9*8*7!}{7!*5*4*3*2*1}[/tex]

[tex]^{12}C_5 = \frac{12*11*10*9*8}{5*4*3*2*1}[/tex]

[tex]^{12}C_5 = \frac{95040}{120}[/tex]

[tex]^{12}C_5 = 792[/tex]

So, the total selection is:

[tex]Total = 792[/tex]

To select at least 1 from each genre, there are 6 possible scenarios.

And they are:

[tex]\begin{array}{ccc}{Heavy\ Metal (3)} & {Rap (4)} & {Country(5)} & {3} & {1} & {1} & 2 & {1} & {2} & {2} & {2} & {1}& {1} & {2} & {2}& {1} & {3} & {1}& {1} & {1} & {3} \ \end{array}[/tex]

The possible selections for the given scenario is:

[tex]Possible = ^3C_3* ^4C_1 * ^5C_1 +^3C_2* ^4C_1 * ^5C_2 +^3C_2* ^4C_2 * ^5C_1 +^3C_1* ^4C_2 * ^5C_2 +^3C_1* ^4C_3 * ^5C_1 +^3C_1* ^4C_1 * ^5C_3[/tex]

Using a calculator, we have:

[tex]Possible = 1*4*5 +3*4*10 +3*6*5 +3*6*10+3*4*5+3*4*10[/tex]

[tex]Possible= 20 +120 +90 +180+60+120[/tex]

[tex]Possible = 590[/tex]

The probability is then calculated using:

[tex]Pr = \frac{Possible}{Total}[/tex]

[tex]Pr = \frac{590}{792}[/tex]

[tex]Pr = 0.7449[/tex]

Answer:

B. On the eighth day, the bacteria is 19.90 grams

Step-by-step explanation:

I calculated it logically

Answer:

Hakims car travels 600 feet in 20 seconds. Andres mortar cycle travels 300 feet in 12 seconds. Which is faster, the car or the motorcycle?

The car is faster

Find the unit rates

The car is going 30 feet in 1 second(600 divide by 20 = 30)

The motorcycle is gonig 25 feet in 1 second(300 divide by 12 = 25)

Compare the unit rates

30 > 25

Step-by-step explanation:

Answer:

Hakim's car is faster.

Step-by-step explanation:

Hakim's car takes 20 seconds to go 600 feet. Andre's motorcycle takes 24 seconds to go 600 feet.

So for Hakim, the unit rate are 30 feet per second because 600/20 = 30

For Andre, the unit rate is 25 feet per second because 600/24 = 25

Hakim's car goes faster because 30 is greater than 25.

Answer:

Median

Step-by-step explanation:

You want to use median because it is the most accurate when there is an outlier in the data (the 40 on the test)

Answer:

and do you know the answer to this one

Answer:

There are 25 possible schedules.

Step-by-step explanation:

The order in which they play soccer is not important(Monday and Tuesday is the same as Tuesday and Monday), and thus the combinations formula is used to solve this question.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Monday but not Tuesday:

Monday(1) and 2 out of the remaining 7 - 2 = 5. So

[tex]C_{5,2} = \frac{5!}{2!3!} = 10[/tex]

Tuesday but not Monday:

Tuesday(1) and 2 out of the remaining 7 - 2 = 5. So

[tex]C_{5,2} = \frac{5!}{2!3!} = 10[/tex]

Monday and Tuesday:

Monday and Tuesday(1), plus one out of the remaing 5 days. So

[tex]C_{5,1} = \frac{5!}{1!4!} = 5[/tex]

Total:

10 + 10 + 5 = 25

There are 25 possible schedules.

Answer:360°

Step-by-step explanation:

Answer: D:360

Step-by-step explanation:

Answer:

8 27/28 or 251/28

Step-by-step explanation:

Find common denominators then simply add.

Answer:

1?

Step-by-step explanation:

im not sure im prolly wrong and not fast enough

Answer:

4 is next in NUMBER OF DAYS

9 is the first in NUMBER OF TADPOLES

41 is the 2nd answer ON NUMBER OF TADPOLES

Step-by-step explanation:

hope this helps a lot!!

Answer:

proportion

Step-by-step explanation:

Answer:

the answer is B.450 +15x

Answer:

B

Step-by-step explanation:

Answer:

32 mutipliy 20 and 5

Step-by-step explanation:

Answer:

The cost is #15.90

Step-by-step explanation:

See comment for complete question

Given

[tex]P \to Potato[/tex]

[tex]C \to Carrot[/tex]

[tex]3P + 2C = 5.08[/tex]

[tex]P = 1.24[/tex]

Required

[tex]12P + 1\frac{1}{2}C = ??[/tex]

First, we solve for C

Substitute [tex]P = 1.24[/tex] in [tex]3P + 2C = 5.08[/tex]

[tex]3 * 1.24 + 2C = 5.08[/tex]

[tex]3.72 + 2C = 5.08[/tex]

Collect like terms

[tex]2C = 5.08 - 3.72[/tex]

[tex]2C = 1.36[/tex]

Solve for C

[tex]C = \frac{1.36}{2}[/tex]

[tex]C = 0.68[/tex]

So, we have:

[tex]P = 1.24[/tex]

[tex]C = 0.68[/tex]

[tex]12P + 1\frac{1}{2}C = ??[/tex] becomes

[tex]12P + 1\frac{1}{2}C = 12*1.24 + 1\frac{1}{2}*0.68[/tex]

[tex]12P + 1\frac{1}{2}C = 14.88 + 1.02[/tex]

[tex]12P + 1\frac{1}{2}C = 15.90[/tex]

Answer:

Step-by-step explanation:

Note the shiding squares ( 12 of 16) represent 3/4. And you are taking a quarter of that. The equation is

[tex]\frac{3}{4}\div4=\frac{3}{16}[/tex]

Answer:

150 kg

Step-by-step explanation:

30% of 500 kg

[tex]=0.30*500[/tex]

[tex]=150[/tex]

150 kg