(-30) - (+40) = (-30) + (-40) explain why this is true

Answer:

71

Step-by-step explanation:

because the theorem is sum of the square

The answer is d. hypotenuse.

Here's why:

The Pythagorean Theorem states that in a right-angled triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides (the legs).

So, if you have a right triangle with legs of length a and b, and hypotenuse of length c, the equation would be: a^2 + b^2 = c^2.

Therefore, the sum of the squares of the legs (a^2 + b^2) is equal to the square of the hypotenuse (c^2).

The other options are incorrect because:

a. shorter leg: The theorem doesn't differentiate between the lengths of the legs, it simply states that the sum of their squares is equal to the square of the hypotenuse.

b. longer leg: Same as above, the theorem doesn't consider the individual lengths of the legs, just their squares.

c. sum of the angles: The Pythagorean Theorem deals with the sides of a right triangle, not its angles. The sum of the angles in any triangle is always 180 degrees.

Complete Question:

In the Pythagorean Theorem, the sum of the squares of the legs is equal to the square of the

a. shorter leg

b. longer leg

c. sum of the angles

d. hypotenuse

Answer:

Answer:y = 1/4x -8Step-by-step explanation:First find the slope of the linex-4y =3Subtract x from each sidex-4y -x = -x+3-4y = -x+3Divide each side by -4-4y/-4 = -x/-4 +3/-4y = 1/4 x -3/4This is in the form y= mx+b where the slope is m and the y intercept is bThe slope is 1/4We want the same slopey = 1/4x +bwe know the y intercept is -8y = 1/4x -8.

Step-by-step explanation:

Answer: Game land sells 20 crayons for 5 cents less.

Step-by-step explanation:

Hi, to answer this question we have to calculate the price per crayon in each store, by dividing the amount paid in each case by the number of crayons that each store offers.

Toy world (T): 25/4 = 6.25 cents per crayon

Game land (G): 30/5 = 6 cents per crayon

Now, we have to multiply the cost per crayon by 20.

T=6.25 x 20 = 125 cents  

G=6 x 20 =120 cents

So, comparing both costs, Game land sells 20 crayons for 5 cents less.

125-120 = 5 cents

Final answer:

GameLand sells 20 crayons for $1.20, which is 5 cents cheaper than ToyWorld's price of $1.25 for the same quantity. Linda saves money by purchasing from GameLand.

Explanation:

To determine which store sells 20 crayons for less, we need to calculate the total cost of 20 crayons at each store. At ToyWorld, crayons are sold at 4 for 25 cents. To buy 20 crayons, Linda would need 5 sets of 4 crayons, since 20 divided by 4 equals 5. Each set costs 25 cents, so the total cost at ToyWorld would be 5 sets times 25 cents, which equals $1.25.

At GameLand, crayons are sold at 5 for 30 cents. To get 20 crayons, Linda would need 4 sets of 5 crayons. The total cost at GameLand would be 4 sets times 30 cents, which equals $1.20.

Comparing the two totals, Linda would spend $1.25 at ToyWorld and $1.20 at GameLand, so GameLand sells 20 crayons for 5 cents less than ToyWorld.

Answer:

The speed of the wind is 32 mph and the speed of the plane in still air is 351 mph.

Step-by-step explanation:

Let the speed of the plane be Vp and the speed of the wind be Vw. In the first situation, the wind is exerting force towards the same direction as the plane so we can say that Vp + Vw = 383 mph. In the second situation, the forces are opposite of each other, so the equation can be written as Vp - Vw = 319 mph.

If we solve them together, we get the result of 2Vp = 702 mph which means that the speed of the plane is Vp = 351 mph. If we put Vp into one of the equations and solve for Vw then the speed of the wind can be found as       Vw = 32 mph.

I hope this answer helps.

Answer:

[tex]11\sqrt{3} + 5\sqrt{5}[/tex]

Step-by-step explanation:

[tex]\sqrt{108}+\sqrt{125} - \sqrt75}[/tex]

1. [tex]\sqrt{108} = 6\sqrt{3}[/tex]\

2. [tex]\sqrt{125} = 5\sqrt{5}[/tex]

3. [tex]\sqrt{75} = 5\sqrt{3}[/tex]

4.    Add [tex]6\sqrt{3} + 5\sqrt{3} = 11\sqrt{3}[/tex]

your left with [tex]11\sqrt{3}+5\sqrt{5}[/tex]

Answer:

12

Step-by-step explanation:

Answer:

cot θ = 24/7

Step-by-step explanation:

This will be difficult to explain without a diagram, but let's proceed.

Since sec θ = 25/24 (secant θ is equal to hypotenuse/adjacent) the hypotenuse of the triangle is 25 and the side adjacent to θ will be equal to 24. To find the opposite side-length you can use the Pythagorean theorem.

25^2 = 24^2 + a^2    (You can use either a or b as the variable)

625 = 576 + a^2    (Subtract 576 from each side)

a^2 = 49

a = 7    (The sqrt of 49 is 7    |    This is the side-length of the opposite side relative to θ)

Since cotangent is always adjacent/opposite:

cot θ = 24/7

Answer:

There are 127 Possible ways/combinations for this

Step-by-step explanation:

Answer:

10π feet, or about 31.42 feet

Step-by-step explanation:

Diameter = 2 times radius, so the radius is 5 feet.

The question is asking us for the circumference - the distance around the circle. Plug our radius into the formula.

C = 2πr

C = 2π(5)

C = 10π feet = about 31.42 feet

Answer:

20 Pi feet or 62.8318530718 ft

Step-by-step explanation:

Find the circumference

Pi X diameter

radius = 1/2 diameter

radius *2 = 20

20 * Pi

Answer:

Compound interest =$14.58

Simple Interest=$14.79

Step-by-step explanation:

Let's assume the interest rate charged on the loan was simple in nature.

-Simple interest is calculated using the formula:

[tex]I=PRT,\\\\=1500\times 0.04\times \frac{90}{365}\\\\=14.79[/tex]

Hence, the simple interest on the loan was $14.79

#If the interest is compound in nature with just one compounding per year:

[tex]A=P(1+i)^n\\\\I=A-P\\\\I=1500(1.04)^{90/365}-1500\\\\=14.58[/tex]

Hence, the compound interest charged on the loan is $14.58

Answer: -72

Step-by-step explanation:

[tex]-3(k^2+2n)\\-3((-4)^2+2(4))\\-3(16+8)\\-3(24)\\-72[/tex]

Answer:

d > - 7

Step-by-step explanation:

John is to have more then -7 dollars in his account by the end of this month.

Now,  the variable d is the number of dollars in John's bank account at the end of the month.

Therefore, the inequality in terms of d that is true only if John meets his monthly goal will be

d > - 7 (Answer)

The equation of function which have vertical translation by 4 unit will be

             f(x)= 2x - 4

To understand more, check below explanation.

The equation of function is given as,

                                [tex]f(x)=2x[/tex]

If we have to shift graph of function a unit down. then required equation will be,   [tex]f(x)=2x-a[/tex]

If we have to shift graph of function b unit up. then required equation will be,   [tex]f(x)=2x+b[/tex]

We have to do vertical translation by 4 units down of the function f(x)=2x.

Hence, required equator will be [tex]f(x)=2x-4[/tex]

Learn more about the graph of function here:

https://brainly.com/question/24748644

Answer:

12 (3.15 pound) containers.

Step-by-step explanation:

37.8 divided by 3.15 equals 12 (3.15 pound) containers.

Answer:

1250

Step-by-step explanation:

x^3*y^1

Let x = 5 and y = 10

5^3* 10^1

PEMDAS says powers first

125 * 10

Then multiply

1250

Answer:

C) 1/12

Step-by-step explanation:

P(2) = 1/6

P(Tail) = 1/2

1/6 × 1/2

1/12

Answer:

b 25

Step-by-step explanation:

Answer:

A)-5 if its without parenthasis around 5+ 3

Step-by-step explanation

2 minus 3 is -1 and -1 times 5 is -5

The difference in the number of their marbles is 28 Buah.

The ratio of Faiz's marbles to Bayu's marbles is given as 4:11. If the total number of marbles they have is 60, you can find the number of marbles each of them has.

Let x be the common multiplier for both parts of the ratio. Then, Faiz has  4x marbles, and Bayu has 11x marbles.

The total number of marbles is the sum of their marbles:

4x + 11x = 60

Combine like terms:

15x = 60

Divide by 15 to find x :

x = 4

Now, substitute x back into the expressions for Faiz and Bayu's marbles:

- Faiz's marbles: [tex]\( 4x = 4 \times 4 = 16 \)[/tex]

- Bayu's marbles: [tex]\( 11x = 11 \times 4 = 44 \)[/tex]

The difference in the number of their marbles is [tex]\( 44 - 16 = 28 \)[/tex].

So, the correct answer is: C. 28 Buah

Complete question:

Perbandingan kelereng Faiz dan Bayu 4:11. Their total color is 60. The best color of them is ...

16 pieces

24 pieces

28 pieces

44 pieces

Answer:

2520°

Step-by-step explanation:

The sum of the angles in any triangle is 180°

shape. sides. triangles. sum int angles.

triangle. 180×1=180°

quad. 180×2=360°

pentagon. 180×3=540°

n-sides. n( n−2) 180(n−2)

16-sides. 180×14=2520°

Answer: Jumoke is currently 16 and Aminata is currently 8

Step-by-step explanation:

Could I get brainiest please? its free :D

Jumoke is 27 and Aminata is 11.

11 + 5 = 16

16 x 2 = 32

32 - 5 = 27

27 - 11 = 16

I tried. Correct me if I'm wrong.

149 : 1 is the odds against your winning the boat.

Step-by-step explanation:

It is given that,

The winner of a raffle will receive a​ 21-foot outboard boat.

The odds against any event is the ratio of the unfavorable outcomes to the favorable outcomes.

The number of possible outcome that you will win ⇒ 20

The number of possible outcomes that others wins ⇒ 3000-20 = 2980

To find the odds against your winning the​ boat :

Number of possible outcomes that one of the others wins : Number of possible outcome that you will win.

⇒ 2980 : 20

⇒ 149 : 1

Therefore, the odds against your winning the boat is 149 : 1

Answer: the population of the culture 6 days after inoculation is 2313.

Step-by-step explanation:

The growth rate is exponential. We would apply the formula for exponential growth which is expressed as

y = b(1 + r)^ t

Where

y represents the population after t days.

t represents the number of days.

b represents the initial population.

r represents rate of growth.

From the information given,

b = 1000

r = 15% = 15/100 = 0.15

t = 6 days

Therefore

y = 1000(1 + 0.15)^6

y = 1000(1.15)^6

y = 2313

Answer:

52 quarters

Step-by-step explanation:

-We know that a quarter dollar is equivalent to $0.25

[tex]\$1=4 \ Quarters[/tex]

-Given that Haley has $13, we multiply this amount by 4 since $1 has 4 quarters to obtain the number of quarters:

[tex]Q=13\times 4\\\\=52[/tex]

Hence, Hayley will get 52 quarters.

Answer:

Nitrogen 7  = 1     ---- Most Basic

Nitrogen 1 =  2    

Nitrogen 3 =  3    ------ Least Basic

Step-by-step explanation:

The basicity of amino acids is as a result f the unshared pair of electrons in the Nitrogen atoms.

Part of the rule of basicity of organic compounds(amino acids) posits that:

The more  unstable an electron pair is, the more basic it is.

From the diagram attached below;

Nitrogen 7 posses and unstable electron due to the lone pair of electron in the NH₃⁺ which renders it most basic .

Nitrogen 1 and 3 are in ring form thereby they are less basic But nitrogen 1 is  more basic compared to nitrogen 3 because lone pair on Nitrogen 1 is not involved in resonance unlike Nitrogen 3 that is  resonance stabilized (i.e alternating by a resonance effect).

Another phenomenon to deduce the basicity of Histidine is the effect of hybridization.

Basicity of Organic Compounds increases with decreasing s character.

Therefore, the trend of basicity is as follows: sp³ > sp² > sp

Because in sp; the lone pairs are most stable, hence least basic

And in sp³; the lone pairs are least stable; hence most basic.

Therefore; From the diagram attached below:

Nitrogen 7  = 1     ---- Most Basic

Nitrogen 1 =  2    

Nitrogen 3 =  3    ------ Least Basic

Constructing a frequency distribution table for visitor numbers with a range of 29 to 73 and class intervals of 10 provides a clear overview, facilitating analysis and interpretation of the data.

Construct a frequency distribution table for the given data, with explanations:

1. Find the range of the data:

The lowest number of visitors is 29.

The highest number of visitors is 73.

The range is 73 - 29 = 44.

2. Determine the appropriate class intervals:

Choose a class interval width that will create a reasonable number of classes, typically between 5 and 10.

Consider the range of the data and aim for intervals that are easy to interpret.

In this case, a class interval width of 10 would be suitable, resulting in 5 classes:

29-38

39-48

49-58

59-68

69-78

3. Create the table:

Draw a table with three columns:

Class Interval

Tally (optional)

Frequency

4. Tally the data (optional):

Go through each data point and mark a tally mark in the appropriate class interval. (This is helpful for visual counting, but not strictly necessary.)

5. Count the frequencies:

Count the number of data points that fall into each class interval and record those numbers in the frequency column.

Complete question:

The number of visitors to the Railroad Museum during 24 randomly selected hours is shown here. 67 62 38 73 34 43 72 35 53 55 58 63 47 42 51 62 32 29 47 62 29 38 36 41 The error in the data is 1. a) Construct a frequency distribution table

Answer:

Should be 480.

Answer:

Francesca!! 13 is less than 15

Step-by-step explanation:

Final answer:

To determine who got home first, compare the times it took for Alessandro and Francesca to run home. If Francesca's time is less than Alessandro's time, then she got home first. If Alessandro's time is less than Francesca's time, then he got home first.

Explanation:

To determine who got home first, we need to compare the time it took for each person to run home. Let's assume it took Alessandro t minutes to run home. According to the information given, Francesca took 13/15 times as long as Alessandro, which means it took Francesca (13/15) * t minutes to run home. To determine who got home first, we can compare their times. If Francesca's time is less than Alessandro's time, then Francesca got home first. If Francesca's time is greater than Alessandro's time, then Alessandro got home first.

Let's compare the times:

Based on the comparison, we can conclude that:

"more" means added to, or addition. So 8 more than 'x' is:

x + 8

Answer: the height of a flower in the field is 13.6 centimeters.

Step-by-step explanation:

Since the heights of different flowers in a field are normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = heights of different flowers.

µ = mean height

σ = standard deviation

From the information given,

µ = 12.7 centimeters

σ = 2.3 centimeters

The z-score is 0.4

Therefore,

0.4 = (x - 12.7)/2.3

Cross multiplying by 2.3, it becomes

0.4 × 2.3 = x - 12.7

0.92 = x - 12.7

x = 0.92 + 12.7

x = 13.6 centimeters to the nearest tenth