Because the sine and cosine ratios involve dividing a leg (one of the shorter two sides) by the hypotenuse (the longest side), the ratio values will never be greater than one, because (some number) / (a larger number) is always less than one.
What is sine and cosine?Sine & cosine are trigonometric functions of an angle in mathematics. In the context of a right triangle, the sine and cosine of an acute angle are defined as follows: for the specified angle, the sine is the ratio of the length of the side opposite that angle to the length of the triangle's longest side (the hypotenuse), and the cosine is the ratio of the length of the adjacent leg to that of the hypotenuse.
The sine and cosine functions for an angle θ are simply denoted as sin θ and cos θ. In general, the definitions of sine and cosine can be extended to any real value expressed in terms of the lengths of specific line segments in a unit circle.
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A body accelerate from ret and cover a certain ditance in a certain time. Uing thi information, dervive the four equation of a uiformly accelerated motion
The four equations of uniformly accelerated motion are:
[tex]v = u + at\\s = ut + (1/2)at^2\\v^2 = u^2 + 2as\\v = u + 2as/t[/tex]
What is uniformly accelerated motion?Uniformly accelerated motion is motion in which the acceleration is constant. The four equations of uniformly accelerated motion are:
[tex]v = u + at[/tex], where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.[tex]s = ut + (1/2)at^2[/tex], where s is the distance traveled, u is the initial velocity, a is the acceleration, and t is the time.[tex]v^2 = u^2 + 2as[/tex], where v is the final velocity, u is the initial velocity, a is the acceleration, and s is the distance traveled.[tex]v = u + 2as/t[/tex], where v is the final velocity, u is the initial velocity, a is the acceleration, s is the distance traveled and t is the time.These equations are derived from the basic kinematic equations of motion which relate velocity, acceleration, distance and time.
The first equation is a result of the definition of acceleration.
The second one is derived from the first equation and the definition of distance.
The third one is derived from the first and second equation by squaring the first equation and then solving for v^2.
The fourth equation is derived by dividing the distance traveled by the time taken.
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A triangle has a height that is 4 inches shorter than its base. If its area is 30 square inches, find the base and height.
Answer:
The height of the triangle = 6 inches
The base of the triangle = 10 inches
Step-by-step explanation:
The formula for the Area of a Triangle = 1/2 × Base × Height
Area = 30 in²
h = b - 4
Hence
30 = 1/2 × b × b - 4
Cross Multiply
30 × 2 = b² - 4b
60. = b² - 4b
b² - 4b - 60
We factorise the Algebraic expression to find b
b² - 4b - 60 = 0
b² - 10b + 6b - 60 = 0
b(b - 10) + 6(b - 10) = 0
(b - 10) + (b + 6 ) = 0
b - 10 = 0 , b = 10
b + 6 = 0, b = -6
We are going to take the positive answer of b as the value of b
b = 10 inches
Solving for h
h = b - 4
h = 10 - 4
h = 6 inches
Therefore, the height of the triangle = 6 inches
base of the triangle = 10 inches
It costs $0. 50 per square yard to waterproof canvas. What will it cost to waterproof a canvas truck cover that is 15' x 24'
It will cost $10.00 to waterproof a canvas truck cover that is 15' x 24'.
To find this, we need to first convert the dimensions of the canvas truck cover from feet to yards, since the cost is given per square yard. 15' x 24' = 180 sq ft. 1 sq yard is equal to 9 sq ft, so 180 sq ft/9 sq ft/yard = 20 sq yard. Then we multiply the square yards by the cost per square yard to find the total cost:
20 sq yard x $0.50/sq yard = $10.00.It's important to note that the measurements of the canvas truck cover are given in feet and the cost is given per square yard. It's important to convert it to square yards to match the unit of measurement and calculate the cost.
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Diana's savings at the end of each week can be described by the expression 300-5x where x represents the number of the week.
Diana's savings will be 280 dollars after four weeks.
What is the expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
The expression is given in the question, as follows:
300 - 5x
Where x represents the number of the week.
We have to determine Diana's savings after four weeks
As per the question, we have
⇒ 300 - 5x
Substitute the value of x = 4 in the above expression
⇒ 300 - 5(4)
⇒ 300 - 20
⇒ 280
This means her savings will be 280 dollars after four weeks.
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The question seems to be incomplete the correct question would be:
Diana's savings at the end of each week can be described by the expression 300-5x where x represents the number of the week.
What is her savings after four weeks?
Please help me with the attachment below
Suppose the pet food company's strategy is to increase the proportion of sales orders from new stores in each region to 25% during the coming year. Consider the data and proportions of sales from new stores for each region in the first month. Do you think additional training is necessary for all of the sales representatives?
Answer:Every year, a pet food company sells its food to stores across the nation. ... In the first month of the new year, the Midwest region secured sales orders from ... Suppose the strategy of the pet food company is to increase the proportion of ... Do you think additional field training is necessary for all of the sales representatives?
Step-by-step explanation:
Yes sales representatives in Midwest and Northeast require more training
Although your question is incomplete attached below is the missing data related to your question
Given that the percentage of new stores in the Midwest and Northeast is below the 25% there will be need for an additional training for the sales representatives in these regions. while the percentage of new stores in the south is above 25% hence there won't be the need for additional sales representative training.
Percentage of new stores for after 1 month
Midwest = ( 66 / 362 ) * 100 = 18.2%
South = ( 115 / 197 ) * 100 = 58.3%
North east = ( 60 / 250 ) * 100 = 24%
Hence we can conclude that to meet up the 25% sales orders from new stores in each region additional training is required for sales representative s in Midwest and North east only.
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A group of friends wants to go to the amusement park. They have no more than $310
to spend on parking and admission. Parking is $9, and tickets cost $35 per person,
including tax. Write and solve an inequality which can be used to determine x, the
number of people who can go to the amusement park.
Answer: [tex]35x+9\leq 310,\ 8[/tex]
Step-by-step explanation:
Given
A group of friends has $310 to spend
Parking costs $9 and ticket cost $35 per person
Suppose there are x friends who go to amusement park
So, the cost of tickets and parking must be less than or equal to $310
[tex]\Rightarrow 35x+9\leq 310\\\text{Subtract 9 from both sides}\\\Rightarrow 35x\leq 301\\\text{Divide both sides by 35}\\\Rightarrow x\leq 8.6[/tex]
This indicates that there sholud be maximum 8 persons who can go to amusement park with this much money.
Can some one help me with this question its hard :( down below ill give brainliest
and plz explain
Answer:
C. xy²
Step-by-step explanation:
You have to add the exponents:
(xy) exponent is 1
(x) exponent is 1
Combine the (x):
xy²
Which of these equations is equivalent to the following: 8/12 divided by 7/8=
Plsssss help me
Answer: o.7619
Step-by-step explanation: i used the standard algorithm i am sorry i cant do a more in depth just hard to do with words ;)
Answer: 0.7619
:)
Step-by-step explanation:
no links please it doesnt work and help
Answer:
x = 29
y = 119
Step-by-step explanation:
51 + x = 90
x = 90 - 51
x = 29
y = 90 + x
= 90 + 29
y = 119
Finn leaned a 100-foot ladder against the side of a building. The base
of the ladder is 14 feet from the base of the building. The top of the
ladder is 11 feet from the top of the building. How tall is the building?
Provide an answer accurate to the nearest tenth of a foot.
The height of the Building is 110.01 feet.
What is the Pythagorean theorem?The square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides, according to Pythagoras' Theorem.
Given, Finn leaned a 100-foot ladder against the side of a building. The base of the ladder is 14 feet from the base of the building. The top of the ladder is 11 feet from the top of the building.
For the triangle made by ladder
hypotenuse = 100
base = 14
thus, from the Pythagorean theorem
hypotenuse² = base² + height²
100² = 14² + height²
height² = 10000 - 196
height = √9804
height = 99.01
total height of the wall = height of triangle + remaining height of the wall
Thus the total height of the wall = 99.01 + 11
the total height of the wall = 110.01
therefore, the building is 110.01 feet tall.
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Choose all the quadratic pairs that are equivalent. 1 2 (x + 4)2 = 2 x2 + 8x + 15 = 0 (x − 5)2 = 1 x2 − 10x + 26 = 0 3(x − 1)2 + 5 = 0 3x2 − 6x + 8 =
Answer:
Only equation 1 and 2 are equal.
Step-by-step explanation:
2 (x + 4)2 = 2
2( x² + 8x+ 16) = 2 Applying the square formula
2x² + 16x+ 32 = 2
2x² + 16x+ 32 -2= 0
2x² + 16x+ 30 = 0
2( x² + 8x+ 15)= 0 Taking 2 as common
x2 + 8x + 15 = 0------------eq 1
x2 + 8x + 15 = 0-------------eq 2
(x − 5)2 = 1
x²-10x+25= 1 Applying the square formula
x²-10x+25- 1= 0
x²-10x+24= 0-------------eq 3
x2 − 10x + 26 = 0 -------------eq 4
3(x − 1)2 + 5 = 0
3( x²-2x+1)+5= 0 Applying the square formula
3x²-6x+3+5= 0
3x²-6x+ 8= 0-------------eq 5
3x2 − 6x + 8 =1
3x2 − 6x + 8 -1=0
3x2 − 6x + 7 =0-------------eq 6
Answer the questions. If you get stuck, consider using pattern blocks.
a. How many1/2s are in 4?
b.How many 2/3s are in 2?
c.How many 1/6s are in 1?
Eight 1/2s are in 4. This can be visualized with pattern blocks, as four triangles (each triangle is 1/2) would be needed to make up a square (4).
What is visualized?Visualization is the process of creating graphical representations of data and information. It can take the form of charts, graphs, diagrams, maps, and other visual representations of data and patterns. Visualization can be used to explore, analyze, and communicate data in an effective and meaningful way, helping to make complex data more accessible and easier to understand. Visualization can also help to uncover trends and relationships that might otherwise be difficult to detect.
b. Three 2/3s are in 2. This can be visualized with pattern blocks, as three hexagons (each hexagon is 2/3) would be needed to make up a rectangle (2).
c. Six 1/6s are in 1. This can be visualized with pattern blocks, as six rhombuses (each rhombus is 1/6) would be needed to make up a hexagon (1).
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Answer the following questions:
1. a. 126 ÷ 12
b. 217 ÷ 4
c. 75 ÷ 6
d. 11 ÷ 9
e. 200 ÷ 35
2. a. Determine whether the quotient of 7 ÷ 2.2 is a terminating or nonterminating, repeating decimal.
b. Find out if the quotient of 0.5 ÷ 0.12 is a terminating or nonterminating, repeating decimal.
c. Which of these has a quotient that is a nonterminating, repeating decimal:
3 ÷ 0.8, 9 ÷ 0.16 or 2 ÷ 2.7?
d. Mr. Pelaez wants to divide his 1.3 hectares of land among his three children. How much land will each child get?
3. Identify if each resulting quotient is a terminating or nonterminating, repeating
decimal.
a. 2 ÷ 3
b. 5 ÷ 1.2
c. 0.3 ÷ 0.9
d. 2.4 ÷ 1.8
4. In a feeding activity, the teacher used 1.25 kilograms of ground pork to make 30 pieces of hamburger patties. How much meat was there in one piece of hamburger?
1. The quotients of the following division operations are as follows:
a) 126 ÷ 12 is 10.5.
b) 217 ÷ 4 is 54.25.
c) 75 ÷ 6 is 12.5.
d) 11 ÷ 9 is 1.2222.
e) 200 ÷ 35 is 5.7143.
2a) The quotient of 7 ÷ 2.2 is a nonterminating or repeating decimal.
2b) The quotient of 0.5 ÷ 0.12 is a nonterminating or repeating decimal.
2c) The division operation with a quotient that is nonterminating or repeating decimal is 2 ÷ 2.7.
3) The identification of each resulting quotient as a terminating or nonterminating, repeating decimal is as follows:
a. 2 ÷ 3 Nonterminating quotientb. 5 ÷ 1.2 Nonterminating quotientc. 0.3 ÷ 0.9 Nonterminating quotientd. 2.4 ÷ 1.8 Nonterminating quotient.4) The quantity of meat in one piece of hamburger, if they are evenly shared or divided, is 41.67 g.
What is the quotient?The quotient is the result of the division operation.
Every division operation involves the dividend (the numerator), the divisor (the denominator), the division operand (÷), and the equal sign (=).
2)
a) 7 ÷ 2.2 = 3.181818
b) 0.5 ÷ 0.12 = 4.16667
c) 3 ÷ 0.8 = 3.75
9 ÷ 0.16 = 56.25
2 ÷ 2.7 = 0.740740
3)
a. 2 ÷ 3 = 0.6667
b. 5 ÷ 1.2 = 4.16667
c. 0.3 ÷ 0.9 = 0.3333
d. 2.4 ÷ 1.8 = 1.3333
4) Total weight of ground pork = 1.25 kilograms
1 kg = 1,000 g
1.25 kg = 1,250 g
The pieces of patties = 30
The weight of each piece = 41.67 g (1,250/30)
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hi plz answer image below may god less you no bot answers plz
Answer:42.875 feet3
Step-by-step explanation:
Answer:
Step-by-step explanation:
V=a³
=[tex](3\frac{1}{2})^3=42\frac{7}{8}[/tex]in³
If 2 kids shared 1/3 of a cookie how much would each kid get?
Answer:
1/6
Step-by-step explanation:
if one kid shared 1/3 of cookies then each kid would have 1/3 of cookies
Find the measure of x.
14
X
48
x = [?]
Answer:
18.84
Step-by-step explanation:
x is the hypotenuse of the triangle.
For the 48° angle, 14 is the opposite leg.
The trigonometric ratio that relates the opposite leg to the hypotenuse is the sine.
sin 48° = opp/hyp
sin 48° = 14/x
x × sin 48° = 14
x = 14/sin 48°
x = 18.84
2x+5=2x+6
equations please help
8th grade math
Answer:
Step-by-step explanation:
Jonatas é marceneiro e elaborou o projeto de um armário de canto de base triar
Observe, na figura abaixo, um esboço desse projeto.
104
45°
ө,
Abertura
da porta
Jonatas projetou que a porta desse armário tenha um ângulo máximo de abertura equivalente a
da medida do ângulo e indicado nesse esboço.
Qual é a medida do ângulo máximo de abertura da porta desse armário?
A) 62°
B) 90°
C) 208
D) 298
You are building an entertainment center for a television. You need to
know the width, height, and diagonal of the
television. The width of the television is 36 inches. The length of the
diagonal of the television is 45 inches. Determine the
height of the television.
9 Jugadores de un equipo de baloncesto chocan palmadas unos con otros ¿Cuántas palmadas dan en total? 2 jugadores dan una palmada. 3 jugadores, tres palmadas. 4 jugadores, seis palmadas. 5 jugadores, diez palmadas.
Answer:
Los jugadores dan 36 palmadas en total.
Step-by-step explanation:
Dado que 9 jugadores de un equipo de baloncesto chocan palmadas unos con otros, para determinar cuántas palmadas dan en total, sabiendo que 2 jugadores dan una palmada, 3 jugadores, tres palmadas, 4 jugadores, seis palmadas, y 5 jugadores, diez palmadas, se debe realizar el siguiente cálculo:
Cada jugador da un número de palmadas igual al número de jugadores en el campo, menos 1. A su vez, esa palmada es recíproca con el otro jugador que la recibe, con lo cual el número de jugadores a contar va disminuyendo.
8 + 7 + 6 + 5 + 4 + 3 + 2 + 1 = X
15 + 6 + 5 + 4 + 3 + 2 + 1 = X
21 + 5 + 4 + 3 + 2 + 1 = X
26 + 4 + 3 + 2 + 1 = X
30 + 3 + 2 + 1 = X
33 + 2 + 1 = X
35 + 1 = X
36 = X
Por lo tanto, dan 36 palmadas en total.
find the value of n so that the system below has no solution y=nx-3
y=-4x+3
Answer:
n = - 4Step-by-step explanation:
The system of linear equations has no solution when the lines are parallel. It means the lines have same slope but different y-intercepts.
The y-intercepts are different:
-3 and 3, and the slope of one line is -4.For the given system to have no solution we need n = -4.
A scatter plot was made to show the value of various vehicles based on the age of the vehide (in years). The equation for the line of best fit is y= 34,000 - 1,600x wherey is the value of the vehicle in dollars and x is the age of the vehicle in years. Use the line of best fit to predict the value of the vehide after 8 years
Answer:
$21,200
Step-by-step explanation:
Given the best fit equation:
y= 34,000 - 1,600x
Where ;
y = value of vehicle in $
x = Age of vehicle in years
The predicted value of vehicle aged 8 years ;x = 8
y = 34000 - 1600(8)
y = 34000 - 12800
y = 21,200
Hence, the predicted value of car aged 8 years is $21,200
7
A scientist is investigating the weight of 50 tigers.
Here is some information about these tigers.
Number of tigers
Mean weight of tigers (kg)
Siberian
22
260
Type of tiger
The mean weight of all 50 tigers is 218 kg
Work out the mean weight of the Bengal tigers.
Bengal
28
Consequently, there is a 0.89736 percent chance or probability that he weighs fewer than 258 kilograms.
What is probability?Probability fundamentals. A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.
Here,
we use the z-score algorithm to answer this query.
Score Z = x - μ/σ
x = the raw score
population mean= μ
Population standard deviation is σ
Hence,
x = 258, μ = 220, σ = 30
Z = 258 - 220/30
=1.26667
Probability based on the Z-Table:
P(x<258) = 0.89736
Consequently, there is a 0.89736 percent chance that he weighs fewer than 258 kilograms.
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( r - 8 ) - ( r + 15 )
Find the Sum or Difference! :)
Answer:
-23
Step-by-step explanation:
Open up the parenthesis
R - 8 - R - 15
R - R - 8 - 15
-23
Answer:-23 ITS SUPER EASY:0
Step-by-step explanation:
Open up the parenthesis
R - 8 - R - 15
R - R - 8 - 15
-23
heyy! i’ll give brainliest please help.
Answer:
B: weather occurs because the climate is constantly changing
Step-by-step explanation:
Write each trigonometric ratio as a fraction and as a decimal rounded to
the nearest hundredth.
3. sin C
6. cos C
4. tanA
7. tan C
5. cos A
8. sin A
The trigonometric ratio as a fraction for sinC is , and the decimal is 0.80.
What are trigonometric functions?The trigonometric functions are actual functions that connect the right-angled triangle's angle to the ratios of its two side lengths.
What are the most widely used trigonometric functions?The widely used trigonometric functions are sine, cosine and tangent. The trigonometric functions also operate the inverse of the functions.
For the given triangle the trigonometric values are as follows:
For angle A the opposite side is CB, the adjacent side is AB and the hypotenuse is AC.
For angle C the opposite side is AB, the adjacent side is CB and the hypotenuse is AC.
[tex]sinC = \frac{\text{Opposite side }}{Hypotenuse} = \frac{4}{5} =0.80\\ \\ cosC = \frac{\text{Adjacent side }}{Hypotenuse} =\frac{3}{5} = 0.60\\\\tanA =\frac{\text{Opposite side }}{Adjacent side} = \frac{3}{4} = 0.75\\\\tanC= \frac{\text{Opposite side }}{Adjacent side} =\frac{4}{3} = 1.33\\\\cosA = \frac{\text{Adjacent side }}{Hypotenuse} =\frac{4}{5} = 0.80\\\\sinA= \frac{\text{Opposite side }}{Hypotenuse}=\frac{3}{5} =0.60[/tex]
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Ana has bought 12 3/6 kg of flour. Mary has brought 14 2/8 kg of flour and Kristina has bought 11 8/12 kg of flour. Who bought the most flour?
Answer:
Mary bought the most flour
Step-by-step explanation:
Ana bought 12 3/6 kg of flour
12 3/6 = 75/6 = 12.5 kg of flour
Mary has brought 14 2/8 kg of flour
14 2/8 = 114/8 = 14.25 kg of flour
Kristina bought 11 8/12 kg of flour.
11 8/12 = 140/12 = 11.66 kg of flour
So, Mary bought the most flour.
Over the last three days it has rained a total of 1 inch. Today it rained 2 8 of an inch and yesterday it rained 3 8 of an inch. How much more did it rain the day before yesterday
So, it rained 15/8 inch the day before yesterday.
The total amount of rain that fell in the last three days is 1 inch. We know that 2/8 of an inch fell today, and 3/8 of an inch fell yesterday. We can add these amounts together to find out how much more it rained the day before yesterday.
To add 2/8 and 3/8, we need to convert the fractions to have a common denominator, which is 8.
2/8 = 2/8 * 1 = 2/8
3/8 = 3/8 * 1 = 3/8
Now we can add the fractions:
2/8 + 3/8 = (2+3)/8 = 5/8
Since we know that the total amount of rain that fell in the last three days is 1 inch, we can subtract the amount that fell today and yesterday from the total amount to find out how much more it rained the day before yesterday:
1 inch - (5/8 inch) = 15/8 inch
Therefore, it rained 15/8 inch the day before yesterday.
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What is the prouduct of 2 and 0.73
Answer:
1.46
Step-by-step explanation:
We can represent this problem as an array of dots, where each dot represents 0.73 units.
⚫️ ⚫️
We can see that the resulting product of 2 × 0.73 is just the sum of two dots. We can represent this in equation form as:
0.73 + 0.73
Finally, we can execute the addition by adding the tenths and hundredths of each number separately, then adding everything together at the end.
tenths + hundredths
(0.70 + 0.70) + (0.03 + 0.03)
1.40 + 0.06
1.46