Mathematics High School

## Answers

**Answer 1**

True

False

True

1. True, the legs of a right triangle are connected to the right angle.

2. False, the hypotenuse of a right triangle is a specific side that is opposite to the right angle, and it is always the longest side of the triangle. The other two sides are called legs.

3. True, the side opposite to the right angle in a right triangle is called the hypotenuse.

## Related Questions

hey anyone there *MUST ANSWER ASAP IM BEING TIMED*

### Answers

**Answer:it is the 2 one**

**Step-by-step explanation: trust me**

I NEED HELP ASAP!!!

The half-life of a certain radioactive material is 76 hours. An initial amount of the material has a mass of 439kg. How much radioactive material remains after 14 hours?

a) 0 kg

b) 0.163 kg

c) 0.652 kg

d) 386.377 kg

### Answers

**Answer:**

Use the radioactive decay formula: A = Ao*2^(-t/h), where

A = 722*2^(-17/71)

find 2^(-17/71) with a calc

A = 722*.847076

A = 611.59 kg after 17 hrs

**Step-by-step explanation:**

**Answer:**

The formula for the amount of radioactive material remaining after a certain time can be expressed as:

N(t) = N₀ * (1/2)^(t/h)

Where:

N(t) is the amount of radioactive material remaining after time t

N₀ is the initial amount of radioactive material

h is the half-life of the material

Substituting the given values, we have:

N(14) = 439 * (1/2)^(14/76)

N(14) = 386.377 kg

Therefore, the amount of radioactive material remaining after 14 hours is 386.377 kg. The answer is option (d).

**Step-by-step explanation:**

can you hellp me if you can hellp me

### Answers

**Answer:**

Solution,

Given,

radius of the circle(r)=9 cm

circumference of the circle(c)=?

We know that;

[tex]C=2{\pi}r[/tex]

[tex] \: \: \: \: = 2 \times 3.14 \times 9[/tex]

[tex]\: \: \: \: = 56.52[/tex]

Thus,the circumference of the circle is 56.52 cm.

Favorite days of the week Monday 55% Tuesday 45% 4) If 220 people were surveyed, how many more people voted for Monday than for Tuesday?

### Answers

**Answer: 22**

**Step-by-step explanation:**

**Ok, so the way I do it I multiply then divide. **

**For Monday I did: ?/220=55/100. what you would do is multiply across then divide by the other number, so 220x55 which is 12100 then you will divide it by 100. So 121 people voted on Monday **

**For Tuesday: Using the same method. ?/220=45/100 you will multiply 45x220 giving you 9900 then you will divide by 100 giving you 99. 99 people voted on Tuesday.**

**So to find the DIFFERENCE you need to subtract, so 121-99 leaving you with 22. Also, if you are confused how on where I got 100 from you put the percentage over 100, because percentages go from 0%-100% so you put the partial percentage over the maximum (100) **

consider an infinitely long three-sided triangular enclosure with side lengths 2 cm, 3 cm, and 4 cm. the view factor from the 2 cm side to the 4 cm side is

### Answers

The view factor from the 2 cm side to the 4 cm side of the infinitely long three-sided **triangular** enclosure is approximately 0.5.

The view factor (F) from Surface A to Surface B can be calculated using the formula:

F = A / (A + B)

where A and B are the **areas** of Surface A and Surface B, respectively.

The area of a triangle can be calculated using Heron's formula:

Area = sqrt(s * (s - a) * (s - b) * (s - c))

where s is the semi-perimeter of the triangle and a, b, and c are the side lengths of the triangle.

For Surface A:

a = 2 cm

b = 3 cm

c = 4 cm

s = (a + b + c) / 2 = (2 + 3 + 4) / 2 = 4.5 cm

**Area**_A = sqrt(4.5 * (4.5 - 2) * (4.5 - 3) * (4.5 - 4))

= √(4.5 * 2.5 * 1.5 * 0.5)

=√(5.625) ≈ 2.37 cm²

For Surface B:

a = 2 cm

b = 4 cm

c = 3 cm

s = (a + b + c) / 2 = (2 + 4 + 3) / 2 = 4.5 cm

**Area**_B = √(4.5 * (4.5 - 2) * (4.5 - 4) * (4.5 - 3))

= √(4.5 * 2.5 * 0.5 * 1.5)

=√(5.625) ≈ 2.37 cm²

Now we can calculate the view factor (F):

F = Area_A / (Area_A + Area_B)

= 2.37 / (2.37 + 2.37)

≈ 0.5

Therefore, the view factor from the 2 cm side to the 4 cm side of the infinitely long three-sided **triangular** enclosure is approximately 0.5.

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Pat starts with two identical square pieces of paper. On the first one, she draws straight lines that divide the paper into a 3 by 3 grid of squares. The total length of the lines she draws is 18 cm.

On the second piece of paper, Pat draws straight lines that divide the paper into a 6 by 6 grid of squares.

What is the total length of the lines that Pat draws on the second piece of paper?

### Answers

**Answer:**

36 cm

**Step-by-step explanation:**

the total length of the lines that pat draws on the second piece of paper is 36 cm.

Express each of the following as a rational number: 7/12 - 5/6 + 1/8 - 5/8

### Answers

**Answer:**

The answer is -0.75

**Step-by-step explanation:**

7/12-5/6+1/8-5/8

find Lcm of 12 and 8 is 24

7/12-5/6+1/8-5/8

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

24

2(7)-4(5)+3(1)-3(5)

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

24

14-20+3-15

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

24

= -18

-----

24

=-3/4

= -0.75

Navdeep’s, her mother’s and her grandmother’s ages all add up to 126. Navdeep’s mother is twice Navdeep’s age, and her grandmother is three time her age. How old are each?

### Answers

**Answer:**

**Step-by-step explanation:**

126 divided by two = 63

Then divide 63 by 3 which = 21

so 21 is your answer.

Answer:

Step-by-step explanation:

typically, in which type of claim is it most important to have a random sample?

### Answers

It is most important to have a random sample in** inferential statistics, **particularly in making **statistical inferences **about a population based on the sample data.

**Random sampling **is a critical component of **inferential statistics **because it helps to ensure that the sample is representative of the population. When a sample is randomly selected, each member of the population has an equal chance of being included in the **sample**, which reduces the risk of bias in the results. Without a random sample, the results of statistical analyses may not be accurate or generalizable to the population, and the conclusions drawn from the data may be flawed or misleading.

Therefore, **random sampling** is crucial in making valid **statistical inferences **about a population.

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11. You and your friend ordered a pizza with 1 inch wide cheesy crust.

The total diameter of the pizza (including the cheesy crust) is 16 inches.

a) If you are given 1/6 of the pizza, what is the area of your slice? Lave exact answer.

b) What is the length of the outside cheesy crust that belongs to your friend? Leave exact answer

### Answers

**Answer:**

Therefore:

a) The area of your slice is 32/3π square inches (exact answer).

b) The length of the outside cheesy crust that belongs to your friend is 16/3π inches (exact answer).

**Step-by-step explanation:**

a) To find the area of 1/6 of the pizza, we need to determine the area of the entire pizza and then divide it by 6.

The diameter of the pizza (including the cheesy crust) is 16 inches, which means the radius is half of the diameter, so the radius is 16/2 = 8 inches.

The formula for the area of a circle is A = πr², where A is the area and r is the radius.

Therefore, the area of the entire pizza is A = π(8 inches)² = 64π square inches.

To find the area of 1/6 of the pizza, we divide the area of the entire pizza by 6:

Area of 1/6 of the pizza = (64π square inches) / 6

b) The cheesy crust is located on the outer edge of the pizza, forming the circumference of the circle. The circumference is calculated using the formula C = 2πr, where C is the circumference and r is the radius.

The length of the outside cheesy crust that belongs to your friend is 1/6 of the circumference. So, we divide the circumference by 6:

Length of the outside cheesy crust for your friend = (2π(8 inches)) / 6

To get the exact answers, we leave the values in terms of π:

a) Area of 1/6 of the pizza = (64π square inches) / 6 = 32/3π square inches (exact answer)

b) Length of the outside cheesy crust for your friend = (2π(8 inches)) / 6 = 16/3π inches (exact answer)

Therefore:

a) The area of your slice is 32/3π square inches (exact answer).

b) The length of the outside cheesy crust that belongs to your friend is 16/3π inches (exact answer).

HELP NOW IT IS 6th GRADE MATH HELPPPPPP

### Answers

**Answer:**

S=2t

or

T=1/2 S

darnell's grandparents sent him a magic kit for his birthday. it includes six-sided weighted dice. he rolls one of the dice repeatedly and records the results. the table below shows the outcomes he records.numbertimes rolled122338435167based on the data, what is the probability that darnell will roll a 3?

### Answers

In order to calculate the **probability** of rolling a 3, we need to determine the number of times a 3 appears in the outcomes compared to the total number of rolls.

Looking at the table, we see that the number 3 appears twice, and there are a total of 20 rolls. Therefore, the probability of rolling a 3 is 2/20 or 1/10. In summary, the probability of rolling a 3 based on the data provided is 1/10. This can be **calculated** by dividing the number of times a 3 appears (which is 2) by the total number of rolls (which is 20).

Based on the data provided, the probability of rolling a 3 is 1/10. This is calculated by dividing the number of times a 3 appears (which is 2) by the** total number **of rolls (which is 20). Therefore, the likelihood of rolling a 3 is relatively low.

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13th term of the geometric sequence 1, 2, 4

### Answers

**Answer:**

The 13th term of the geometric sequence is 4096

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

First, find the **common ratio**:

r = 2/1 = 4/2 = 2

Next, use the **formula for the nth term** of a geometric sequence:

aₙ = a₁ * rⁿ⁻¹ where a₁ is the first term and r is the common ratio

**Plugging in** the values we have:

a₁₃ = 1 * 2¹³⁻¹ = 1 * 2¹² = 4096

2. Evaluate

45 x ( - 4 + 1 )

### Answers

**Answer:**

-135

**Step-by-step explanation:**

45 x ( -4 + 1 )

**BODMAS -> Bracket of Division Multiplication Addition Subtraction**

=> 45 x -3

=> **-135**

Help!!!!! I will give brainless

### Answers

**Answer:**

y = 0.833x + 2.67

**Step-by-step explanation:**

**Important Info:**

Slope intercept form:

y = mx + b

*where;*

m = slope

b = y - intercept

x,y = distance of the line from x-axis/y-axis

Slope formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Solve:

Find two point on the graph:

(-2,1) (4,6)

Using slope formula to find slope:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{6-1}{4-(-2)}[/tex]

[tex]m=\frac{6-1}{4+2}[/tex]

[tex]m=\frac{5}{6}[/tex]

[tex]m=0.833[/tex]

Now, put it in slope intercept form:

y = 0.833x + b

To find "b" we have to chose one order pair. Let's use (-2,1) and use it to substitute x and y.

y = mx + b

1 = 0.833x(-2) + b

1 = -1.67 + b

b = 2.67

Now, put it in slope intercept form:

y = 0.833x + 2.67

Hence, the equation for that graph is; y = 0.833x + 2.67

**RevyBreeze**

A

B

D

C

If m/ABD = 110°, and m/DBC = 35⁰,

then m/ABC = [ ? ]°

### Answers

With the context provided:

m/ABC = 235° + 2(180° - 35°) - 2(110°)

compute 4.659×10^4−2.14×10^4. round the answer appropriately.

### Answers

The answer when you solve for computations you get 25190

eight years ago mr salam was 10 times as old as his neighbour. if the present age of mr salman and his neighbour is x and y respectively.

i-express of mr salam and his neighbour's age eight years ago

ii- equation connectingg x and y with the help of the given condition

### Answers

Answer:

10x - 8 = y

Step-by-step explanation:

This question was hard to read so i used the variables! I hope you do good! :)

1. Expand: (4x - 1)(x-3)

O4x² - 2x +3

O4x²+3

O4x²-13x-3

O4x²-13x +3

### Answers

**Answer:**

The correct answer is option D: 4x² - 13x + 3.

**Step-by-step explanation:**

To expand the expression (4x - 1)(x - 3), we use the distributive property of multiplication.

Let's multiply each term of the first expression (4x - 1) by each term of the second expression (x - 3):

(4x - 1)(x - 3) = 4x(x) - 4x(3) - 1(x) - 1(-3)

Now, simplify each term:

= 4x^2 - 12x - x + 3

Combining like terms:

= 4x^2 - 13x + 3

Therefore, the expanded form of (4x - 1)(x - 3) is 4x^2 - 13x + 3.

The correct answer is option D: 4x² - 13x + 3.

Which of these ordered pairs is a solution to the linear inequality y ≤ 4x – 3?

Responses

(1, 4)

(1, 4)

(1, 5)

(1, 5)

(–2, 5)

(–2, 5),

(2, 5)

### Answers

**Answer:**

(2, 5)

**Step-by-step explanation:**

You want the **ordered pair** that is a **solution** to **y ≤4x -3** from those on the list:

**(1, 4)****(1, 5)****(-2, 5)****(2, 5)**

Graph

The attachment shows a graph of the inequality, along with the offered solution points. The only solution among those shown is **(2, 5)**. That solution lies on the boundary line. The "≤" symbol means the boundary line is included in the solution set.

Calculator

We can use a calculator to check the solutions, too. Rearranging, we have ...

4x -3 -y ≥ 0

The calculator in the second attachment is able to make this calculation using the list of x-values and the list of y-values. The solution list only has one number that is not less than zero. That corresponds to **(x, y) = (2, 5)**.

__

*Additional comment*

We like to avoid having to enter the same equation over and over with different data. That is why we have chosen the solution methods here. A spreadsheet can repeat the calculation and comparison for you, too.

#95141404393

Find the are n circumference of each circle above

### Answers

The **area **and **circumference **of the **circles **are solved

Given data ,

Let the **area **and **circumference **be represented as A and C

Now , the **circles **are

Circumference of **circle **= 2πr

Area of the **circle **= πr²

a)

**Radius **= 7 m

C = 2 ( π ) ( 7 )

C = 43.98 m

A = π ( 7 )²

C = 153.938 m²

b)

Diameter = 30 feet

C = 2 ( π ) ( 15 )

C = 94.24 feet

A = π ( 15 )²

C = 706.858 feet²

c)

**Radius **= 10.2 inches

C = 2 ( π ) ( 10.2 )

C = 64.088 inches

A = π ( 10.2 )²

C = 326.85 inches²

d)

**Diameter **= 9 mm

C = 2 ( π ) ( 4.5 )

C = 28.274 mm

A = π ( 4.5 )²

C = 63.617 mm²

Hence , the **circles **are solved

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What magnitude is not possible when a vector of magnitude 3 is added to a vector of magnitude 4?

a. 7

b. 0

c. 3

d. 1

e. 5

### Answers

When two vectors are added, the magnitude of the resulting **vector** can be found using the Pythagorean theorem. The correct answer is option b, 0.

In this case, if a vector of magnitude 3 is added to a vector of **magnitude** 4, the resulting vector can have a magnitude of:

sqrt(3^2 + 4^2) = 5

Therefore, the magnitude 0 is not possible when a vector of magnitude 3 is added to a vector of magnitude 4, since the **resulting** vector must have a magnitude of at least 5.

When adding two vectors, the resulting magnitude can range from the absolute difference to the sum of the magnitudes of the individual vectors. In this case, the magnitudes are 3 and 4.

1. Calculate the absolute **difference**: |3 - 4| = 1

2. Calculate the sum: 3 + 4 = 7

The resulting magnitude can range from 1 to 7. Therefore, the magnitude that is not possible when a vector of magnitude 3 is added to a vector of magnitude 4 is:

b. 0

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Use the information given in the figure to find the length R U.

The lengths on the figure are not drawn accurately.

### Answers

The **length **of RU in **triangle **is,

⇒ RU = 16

We have o given that;

In triangle;

ST = 37

UT = 35

RS = 20

Hence, By using definition of **Pythagoras theorem** we get;

In triangle STU;

⇒ ST² = SU² + UT²

⇒ 37² = SU² + 35²

⇒ 1369 = SU² + 1225

⇒ SU² = 144

⇒ SU = 12

Hence, In **triangle **RSU;

⇒ RS² = SU² + RU²

⇒ 20² = 12² + RU²

⇒ 400 - 144 = RU²

⇒ RU² = 256

⇒ RU = 16

Thus, The **length **of RU in **triangle **is,

⇒ RU = 16

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based on findings from a recent study on women's health, researchers created a 90 percent confidence interval of (0.42, 0.48) to estimate the percent of all women who do not find time to focus on their own health. based on the confidence interval, which of the following claims is not supported?

### Answers

It provides a range of values within which the true percentage is likely to fall with a 90% level of confidence based on the** Sample data**.

Based on the **confidence **interval of (0.42, 0.48), the claim that is not supported is that less than 42% of all women do not find time to focus on their own health. This is because the lower bound of the interval is 0.42, indicating that at worst, 42% of all women do not find time to focus on their own health. Therefore, any claim that suggests a lower **percentage **is not supported by the confidence interval.

On the other hand, the confidence interval does support claims that suggest the percentage of women who do not find time to focus on their own health is at least 42% and no more than 48%. For example, a claim that **states **"between 42% and 48% of all women do not find time to focus on their own health" is supported by the confidence interval.

It is important to note that the confidence interval does not tell us anything about the actual percentage of women who do not find time to focus on their own health. Rather, it provides a range of values within which the true percentage is likely to fall with a 90% level of confidence based on the sample data.

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A six-foot man casts a 15 foot shadow. At the same time a streetlight casts an 80-foot shadow.

The same six-foot tall man wants to indirectly measure the streetlight in screen 3. But it is a cloudy day and there are no shadows. So holding his phone by his eye, he uses the "level" feature on the Measure app to sight the top of the streetlight. Standing 20 feet away he finds an angle of elevation of 52.5 degrees.

Write and solve an equation to determine the height of the streetlight.

### Answers

The** height **of the streetlight is 30 feet.

Let's call the **height** of the streetlight "h".

When the person is 16 feet from the streetlight, the **length** of their shadow will be 16 feet * (6 feet / h) = 96 feet / h.

When the person is 5 feet from the tip of the streetlight's shadow, the **length **of the streetlight's shadow will be h * (16 feet / 5 feet) = 3.2 * h.

Since the** length **of the person's shadow starts to appear beyond the streetlight's shadow when they are 5 feet from the tip of the streetlight's shadow, we know that 96 / h > 3.2 * h.

Solving for h, we get:

96 / h > 3.2 * h

96 > 3.2h

30 > h

So, the **height **of the streetlight is less than 30 feet.

To determine the exact** height **of the streetlight, we can use the equation:

96 / h = 3.2 * h

96 = 3.2h

30 = h

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complete question:

a six foot person walks from the base of a streetlight directly toward the tip of the shadow cast by the streetlight. when a person is 16 feet from the streetlight and 5 feet from the tip of the streetlight's shadow, the person's shadow starts to appear beyond the streetlight's shadow. what is the height of the streetlight?

Find the solution to each of the following systems of equations. In each case use the suggested method. 16 marks (a) Use substitution method −3x+ 7y + 2z = −8 −2x+ 5y −z = −10 8x−2y + 3z = 38

### Answers

To solve the system of **equations** using the **substitution method**, we first isolate one of the variables in one of the equations. Then we substitute the expression for that variable into the other equations, creating a new system of equations with one fewer variable. We repeat this process until we have a single equation with one variable, which we can solve to obtain the values of the variables.

In this case, we can solve for z in the second equation, giving us:

z = 2x - 5y + 10

We can then substitute this **expression** for z into the first and third equations, giving us:

-3x + 7y + 2(2x - 5y + 10) = -8

8x - 2y + 3(2x - 5y + 10) = 38

We can simplify these equations by combining like terms:

-3x + 7y + 4x - 10y + 20 = -8

8x - 2y + 6x - 15y + 30 = 38

Simplifying further:

x - 3y = -2

14x - 17y = -8

We now have a system of two equations with two **variables**, which we can solve using any of the methods we know. For example, we can solve for x in the first equation and substitute that expression into the second equation, giving us:

x = -2 + 3y

14(-2 + 3y) - 17y = -8

Simplifying:

-2y - 20 = -8

y = 6

We can then substitute this value of y back into one of the equations we derived earlier to solve for x and z:

x - 3y = -2

x - 3(6) = -2

x = 16

z = 2x - 5y + 10 = 2(16) - 5(6) + 10 = 17

Therefore, the solution to the system of equations is (x, y, z) = (16, 6, 17).

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Choose the INCORRECT statement below.

### Answers

**Answer: #4**

**Step-by-step explanation:**

I haven't done anything like this in years but I think it is the 4th answer :)

Sorry if I'm wrong. I am a year ahead in math and in an honors class so i would think I'm pretty smart

Question 2

A number cube has sides labeled 1 through 6. Match the outcome to each single event.

P(4)

P(greater than 1)

P(even)

Unlikely

Equally

Likely

Need help with this question?

Likely

### Answers

The **complete** table:

** Unlikely | Equally | Likely**

P(4) _ 0 0

P(greater than 1) _ _ 0

P(even) _ 0 0

Matching the outcomes to each event:

P(4): Equally likely. Each face of the **cube** has an equal chance of landing face up, so the **probability **of rolling a 4 is the same as the probability of rolling any other single number.

Therefore, P(4) is equally likely.

P(greater than 1): Likely. There are** five faces** that have a number greater than 1 (2, 3, 4, 5, and 6) and only one face that has a 1.

Therefore, the probability of rolling a number greater than 1 is much higher than the probability of rolling a 1, making it a likely outcome.

P(even): Equally likely. There are three even numbers (2, 4, and 6) and three **odd numbers** (1, 3, and 5) on the cube, so the probability of rolling an even number is the same as the probability of rolling an odd number.

Therefore, P(even) is equally likely.

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how many customers must be sampled if he wants the confidence interval to have a margin of error of 0.06? g

### Answers

To determine the sample size needed for a desired margin of error, we need additional information such as the** population size **and the desired level of confidence. Without this information, it is not possible to calculate the exact sample size.

The sample size **calculation** involves considering factors such as the variability of the population, the desired level of confidence, and the margin of error. These factors help in determining the appropriate sample size to achieve the desired precision in estimating population parameters.

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how many customers must be sampled if he wants the confidence interval to have a margin of error of 0.06 ----------- g

Simplify and state the excluded values.

### Answers

**p−5/p−1**

**This is the simplified value ^**

**Step-by-step explanation:**