Solve for an angle in right triangles help

Answer:

3/52

Step-by-step explanation:

10/40 x 9/39 = 3/52

Final answer:

The probability that both animal crackers Junior grabs from the box are lions is approximately 5.75%.

Explanation:

The question asks to calculate the probability that both animal crackers Junior grabs from the box are lions. With a total of 40 animal crackers (10 elephants, 10 monkeys, 10 zebras, and 10 lions), the probability of picking a lion first is 10/40 or 1/4. After eating one lion, there are now 39 crackers left and only 9 lions. The probability of picking a second lion is 9/39. To find the probability that both crackers eaten are lions, we multiply the probabilities of these two independent events: (1/4) * (9/39) = 9/156 or 1/17.39. This simplifies to approximately 0.0575 or 5.75%.

The maximum height of the firework is 64 feet.

The equation y = -16x^2 + 32x + 48 represents the height, in feet, of a firework x seconds after it is launched. To find the maximum height of the firework, we need to determine when the vertical velocity (Vy) is zero. This happens when the derivative of the equation with respect to time is zero. So, we differentiate the equation, set it equal to zero, and solve for x. The x value obtained represents the time at which the firework reaches its maximum height. We substitute this x value back into the equation to find the maximum height.

To find the derivative of the equation, we use the power rule for derivatives.

y' = -32x + 32

Setting y' equal to zero and solving for x:

-32x + 32 = 0

-32x = -32

x = 1

Substituting x = 1 into the original equation:

y = -16(1)^2 + 32(1) + 48 = 64

Therefore, the maximum height of the firework is 64 feet.

Answer:

Eleana is 20 years old and her grandfather is 80 years old.

Step-by-step explanation:

So first off, we want to make variables to represent Eleana and her grandfather.

Let x represent Eleana's age.

Since her grandfather is four times older than Eleana,

The expression should be 4x+x=100

Step One

Add the x's together and you get 5x=100.

Step Two

Divide both numbers by 5 to solve for x.

x=20

Answer:

The number of student increased each year by 986.58.

Step-by-step explanation:

Given : In 2002, there were 972 students enrolled at Oakview High School.

To find : The number of students has increased by 1.5% each year ?

Solution :

Using the exponential growth function,

[tex]P(t)=P_o(1+r)^t[/tex]

Here, [tex]P_o=972[/tex] is the initial population

r=1.5%=0.015 is the rate

t=1 time

[tex]P(t)=972(1+0.015)^1[/tex]

[tex]P(t)=972(1.015)[/tex]

[tex]P(t)=986.58[/tex]

i.e. the number of student increased each year by 986.58.

Answer:

A is the answer.

Step-by-step explanation:

A fraction plus a fraction is equal to a fraction. An irrational number cannot be expressed as a fraction.

0.3333333 even though it looks like an irrational number it is actually: 1/3

3/5 is already a fraction so adding it with another fraction will NOT equal an irrational number (decimal)

-0.75 is equal to -3/4 (75/100 => 3/4). Same thing that applies above.

However, Pi cannot be expressed as a fraction exactly. You can round up like 3.14. However it is not the full number. So 3.141592654....+(3/4) is not going to add up perfectly into a fraction.

In short, a fraction is a rational number. Rational + Rational = Rational. Irrational + Rational = Irrational.

Answer:

A (pi)

Step-by-step explanation:

Pi is already an irrational number, therefore, anything added to it must become irrational

Answer:

4ft tall

Step-by-step explanation:

Answer:

while people are studying diseases all the time, more work still needs to be done.

The answer is C

i got it right on edge

The correct translation for the expression 2n + 8 is "eight more than twice a number."

The expression 2n + 8 represents doubling a number (represented by n) and then adding 8 to it. In simpler terms, it signifies performing the operation of multiplication (twice the number) followed by addition (adding 8). So, when we say "eight more than twice a number," it perfectly encapsulates this mathematical operation: first, we double the number, then add 8 to the result. This succinctly describes the algebraic expression 2n + 8 in a clear and concise manner.

Complete Question:

Which written algebraic expression correctly translate 2 n+8 ?

A. eight more than twice a number

B. eight plus double a number

C. a number squared added to eight

D. the total of eight and twice a number

Answer:

V≈351.86

This is my answer for your question

4x^2 + 23x - 6

4x^2 + 24x - x - 6

4x (x + 6) - 1(x + 6)

(4x - 1)(x + 6)

B and C

Answer:

283cm^2 Hope that helps ;)

Step-by-step explanation:

The approximate surface area of the cone is 283 cm².

The area of a three dimensional object on it's outer surface is called the surface area of the object.

Given that,

The circular base of a cone has a radius of 5 centimeters.

The height of the cone is 12 centimeters, and the slant height is 13 centimeters.

Surface area of a cone = π r² + πrl

where r is the radius and l is the slant height.

Substituting,

Surface area = π (5)² + π(5)(13)

                     = 25π + 65π

                     = 90π

                     = 90 × 3.14

                     = 282.6 cm² ≈ 283 cm²

Hence the surface area is 283 cm².

Learn more about Surface Area here :

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Answer:

7.804 kilometers

Step-by-step explanation:

We would just do 7804/1000 which is 7.804 kilometers.

Answer:

answer 1, MNOP -> M'N'O'P'

Step-by-step explanation:

this is the most logical answer because it describes how the shape moves

Answer:

MNOP --> M'N'O'P'

Step-by-step explanation:

M --> M'

N --> N'

O --> O'

P --> P'

Answer:

D

Step-by-step explanation:

the answer on edge is d

Answer:

d is correct

Step-by-step explanation:

Answer:

C = 64

Step-by-step explanation:

[tex] {x}^{2} + 16x + c \\ = {x}^{2} + 2.8.x + {8}^{2} \\ = {x}^{2} + 2.8.x + 64 \\ \huge \red{ \boxed{ \implies \: c = 64}}[/tex]

Answer:

3

Step-by-step explanation:

5x-3=6+2x

5x-2x=6+3

3x=9

x=3

Answer:

Week 16

Step-by-step explanation:

Week 1: 3.5 miles  => 22.5 miles left

22.5/1.5 increments = 15 weeks

15 weeks + week 1 = 16th week

Answer:

week 16

Step-by-step explanation:

Answer:

The value of a = 4 and b = 3 make the equation true, the correct option is D.

Step-by-step explanation:

Square root

The square root is defined as the value given the original value.

Given information

Equation;

The values of a and b are;

On comparing with the equation both sides;

The value of a is 4 and b is 3.

Hence, The value of a = 4 and b = 3 make the equation true, the correct option is D.

Answer:

835.24 cm²

Step-by-step explanation:

2(pi × r²) + ( 2 × pi × r × h)

2(3.14 × 7²) + (2 × 3.14 × 7 × 12)

835.24 cm²

Answer:

the answer is 4

Answer:

THE ANSWER IS FOUR

Step-by-step explanation:

The expression '4 - 2 = 2' can be rewritten as '4 + (-2) = 2' or 'subtracting 2 from 4 equals 2'. However, '4 + 2 = 6' is not equivalent to the initial expression and represents an addition, not a subtraction.

The expression '4 - 2 = 2' can be rewritten in a number of ways. Firstly, we can consider '4 - 2' as '4 + (-2)', which indeed equals 2. Moreover, another way to rephrase '4-2' is 'subtracting 2 from 4', still equals 2. A different expression, '4 + 2', however, results in a value of 6, which is not equivalent to our initial expression '4 - 2 = 2'.

We use the concepts of addition and subtraction to rewrite these expressions. It is crucial to understand that the operation of subtraction can be imagined as the addition of a negative number to a positive one. Whereas, the operation 4 + 2 = 6 belongs to a different category, as it is straightforward addition, not a subtraction.

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Answer:

f/9

Step-by-step explanation:

(n + 5)/5 = (f + 9)/9

n/5 + 1 = f/9 + 1

n/5 = f/9

Answer:

2³/2=4

Step-by-step explanation:

a=2+b

(2+b)²/b²

4+4b+b²/b²

since b²/b² cancel out

4+4b=0

4b=4

b=1

sub into a=b+2

a=3

I'm not exactly sure what I did was correct but I hope it helps anyways.

Answer:

The answer to your solution is z = 36

Step-by-step explanation:

36 divided by 6 = 6

Answers and Step-by-step explanations:

Start at the first box that says "start":

1) The probability of landing on "N" is 1/7 (because there are 7 sectors and only 1 with N on it) and the probability of landing on a vowel is 3/7 (because there are 7 sectors and 3 vowels). Multiplying these, we get 3/49. So, go down the path with 3/49 on it.

2) The probability of getting a perfect square from the die is 2/6 (because there are 6 total sides, but only two of them are perfect squares: 1 and 4). The probability of getting a number less than 5 is 4/6 (because there are 6 total sides but only four are less than 5). Multiplying these, we get 8/36 = 2/9. So, go down the path with 2/9 on it.

3) The probability of getting a Trix bar is 8/15 (because there are 15 total candy bars and 8 Trix bars), and the probability of getting a Crunch bar is 5/15 (because there are 15 total bars and 7 Crunch bars). Multiplying these, we get 40/225 = 8/45. So, go down the path with 8/45 on it.

4) The probability of getting a head is 1/2. The probability of getting a vowel from "incredible" is 4/10 (because there are 10 total letters and 4 vowels). Multiplying these, we get 4/20 = 1/5. So, go down the path with 1/5 on it.

5) The probability of drawing a diamond or a 7 is 13/52 + 4/52 - 1/52 = 16/52 (13/52 because there are 52 total cards are 13 diamonds, 4/52 because there are four 7's, but then subtract 1/52 because there is a card you counted twice: 7 of diamonds). The probability of choosing November is 1/12. Multiplying these, you get 1/39. So, go down the path with the 1/39 on it.

6) Sarah's probability of getting a strike is 5/18, while David's is 9/25. Multiplying these, we get 45/450 = 1/10. So, go down the path with the 1/10 on it.

7) The probability that the first duck is a winner is 25/75. The probability of the second duck being a winner is 24/74 (because after you picked the first duck, you didn't replace it, so there are 75 - 1 remaining and 25 - 1 winners remaining). Multiplying these, we get 4/37. So, go down the path with the 4/37 on it.

8) The probability of getting a state that starts with "N" is 8/50 (because there are 50 total states and 8 with "N"). The probability of getting a number at least 2 is 5/6. Multiplying these, we get 2/15. So, go down the path with 2/15 on it.

9) The probability of landing on an odd number is 6/12, and the probability of getting a shaded number is 10/12. Multiplying these, we get 60/144 = 5/12. So, go down the path with 5/12 on it.

10) The probability that Mason gets all 5 correct is (1/2)^5 (because he has a 1/2 chance of getting the right answer). So, go down the path that says 1/32.

11) The probability of first getting a nickel is 10/36 (because there are 36 total coins and 10 nickels), and the probability of getting a dime next is 12/35 (because there are 36 - 1 = 35 total coins remaining and 12 dimes). Multiplying these, we get 2/21. So, go down the path that says 2/21.

12) The probability that the first card is a heart is 13/52 (there are 52 total cards and 13 hearts), and the probability that the second card is a heart is 12/51 (because there are 52 - 1 = 51 total remaining and 13 - 1 = 12 hearts remaining). Multiplying these, we get 1/17. So, go down the path that says 1/17.

13) The probability that the car isn't stopped at the first light is 80% = 8/10, while the probability that the car isn't stopped at the second light is 70% = 7/10. Multiplying these, we get 14/25. And, that's the end!

Hope this helps!

A probability maze is solved by assigning probabilities to each path, calculating the probability of each path, and summing these probabilities to determine the total probability for the entire maze.

I'm sorry, but as a Brainly tutor, my role is to help guide you to understanding how to navigate through a probability maze, not do the work for you. However, I can certainly explain the process. First, we need to identify the different paths one can travel within your maze. This includes any turns or decision points. Then, assign a probability to each path. They're usually equal unless a rule specifies otherwise.

Next, calculate the probability of successfully traversing each path. When there are several ways to reach a destination point, add the probabilities of each route. Finally, find the total probability by adding up the probabilities of each possible path that leads to the end of the maze. Remember, probability can never be greater than 1, so if your total is more than 1, re-check your work. The understanding of how to calculate probability and solving probability mazes are very important aspects of mathematics in high school.

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Answer:

1.662cm

Step-by-step explanation:

add 0.9 and 0.762 to get 1.662

thats all you literally do.