The length AC of the triangle ABC to the nearest whole number would be = 28
How to calculate the missing length of the given triangle?To calculate the missing length of the triangle, the sine rule can be used. That is , a/sinA = b/sinB.
Where;
a= 20
A= 30°
b= ?
B= 45°
That is;
20/sin30° = b/sin45°
b= 20× 0.707106781/0.5
b= 14.14213562/0.5
b= 28.28
b= 28
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WILL GIVE TRUE 100 POINTS FOR CORRECT ANSWER AND WILL GIVE BRAINLIEST I will report you if you try to just get the points instead of helping me and getting points
Choose the scatterplot(s) that DO NOT suggest a linear relationship between x and y.
Answer:
A and D
Step-by-step explanation:
The scatter plots that do not suggest a linear relationship between x any are A and D because A is a hill shape which isn't linear and d is just random things plotted so the answer is A and D
Question in the pic below- Pls help!!
The calculated value of the area of the shape is 84.78 square units
Finding the area of the shapeFrom the question, we have the following parameters that can be used in our computation:
The three quarter circle
The area of the shape is then calculated as
Area = 3/4 * πr²
Where
Radius, r = 6 ( from the diagram)
substitute the known values in the above equation, so, we have the following representation
Area = 3/4 * 3.14 * 6²
Evaluate
Area = 84.78
Hence, the area is 84.78 square units
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A contractor can by two types of wood. she got 45 expensive wood and 60 cheap wood for the same total price. if the 45 expensive wood cost $3.00 more than the 60 cheap wood, then which equation below shows the correct relationship between the 2 types of wood that she purchased. Also (x =price of the 60 cheap wood)
A.45(x+3)=60x
B.45(x-3)=60x
C.60(x-3)=45x
D.60(x+3)=45x
The answer is C. 60(x-3)=45x. This equation is based on the information that the 45 expensive wood costs $3.00 more than the 60 cheap wood. In other words, if the price of the 60 cheap wood is x, the price of the 45 expensive wood is x + 3.
What is algebra?Algebra involves working with numbers, equations, and variables to solve real-world problems and understand abstract relationships.
To solve this equation, we must use algebra and solve for x. First, we multiply both sides of the equation by 4/5. This gives us:
48x + 36 = 45x
-36 = 3x
Finally, we divide left side of the equation by 3, giving us the final solution:
x = -12
Therefore, the price of the 60 cheap wood is $12, and the price of the 45 expensive wood is $15. This equation shows the correct relationship between the two types of wood that the contractor purchased.
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How do I solve this problem?
The value of the variable 'x' and 'y' will be 16 and 8√3, respectively. Then the correct option is A.
Given that:
Angle, θ = 30°
Perpendicular, P = 8
The length of the hypotenuse will be given as,
sin 30° = 8 / x
x = 8 / sin 30°
x = 16
The length of the base will be given as,
tan 30° = 8 / y
y = 8 / tan 30°
y = 8√3
The value of the variable 'x' and 'y' will be 16 and 8√3, respectively. Then the correct option is A.
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Question is in the photo
The number of months that it will take for the company to recover the investment is given as follows:
10.5 months.
How to obtain the number of months?The number of months that it will take for the company to recover the investment is obtained applying the proportions in the context of the problem.
The amount saved during the first year is of $40,000, hence the monthly amount is given as follows:
40000/12 = $3,333.33.
Hence the time needed to save $35,000 is given as follows:
t = 35000/3333.33
t = 10.5 months.
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Alina and Sophia can finish a plowing job in six hours if they work
together. Alina can do the job in 10 hours by herself. How long would it
take Sophia to finish the same job alone?
The answer is 15 hours
Step-by-step explanation:
1. (1/10+1/x)*6=1
2. 6/10+6/x=1
3. x=15
(4n+2m)(2n+3m)(n-m)(3n+2m)
Answer:
Step-by-step explanation:
(4n+2m)(2n+3m)(n-m)(3n+2m)
4n+2m=2(m+2n)
10n(m−n)(m+2n)(3m+2n)
What is the surface area and volume of the triangular prism?The triangular prism is 1 foot high. The triangle that forms the base of the prism has a base of 6 inches and a height of 4 inches. The two remaining sides of the triangular bases are each 5 inches long. What is the surface area and volume of the triangular prism?
Answer:
The surface area of the triangular prism is approximately 16.222 square feet, and the volume of the triangular prism is 12 cubic feet.
Step-by-step explanation:
formulas:
Surface Area = 2B + Ph
Volume = Bh
where B is the area of the triangular base, P is the perimeter of the base, h is the height of the prism, and B and h are both in the same units (inches, feet, etc.).
Given:
Height of the triangular prism = 1 foot
Base of the triangular prism = 6 inches
Height of the triangular base = 4 inches
Length of the other two sides of the triangular base = 5 inches
First, we need to find the area of the triangular base (B):
B = (1/2) x base x height
B = (1/2) x 6 inches x 4 inches
B = 12 square inches
Next, we need to find the perimeter of the triangular base (P):
P = sum of all three sides
P = 6 inches + 5 inches + 5 inches
P = 16 inches
Now, we can use the formulas to find the surface area and volume:
Surface Area = 2B + Ph
Surface Area = 2(12 square inches) + (16 inches)(1 foot)
Surface Area = 24 square inches + 16 square feet
Surface Area = 16.222 square feet (rounded to three decimal places)
Volume = Bh
Volume = 12 square inches x 1 foot
Volume = 12 cubic feet
Therefore, the surface area of the triangular prism is approximately 16.222 square feet, and the volume of the triangular prism is 12 cubic feet.
A₁ = ME Discuss in details the importance of teaching mathematics at Primary School. Due date: 19/04/2023 Show evidence of reading (Reference)
Answer:
Reading, writing, and mathematics are, or should be, inseparable. Hands-on mathematics can stimulate curiosity, engage student interest and build important prior knowledge before students read or write about the topic. The more students know about a topic, the better they comprehend and learn from text on the topic. Prior knowledge is the strongest predictor of student ability to make inferences from text.
Hands-on mathematics, though, must be combined with minds-on activities. Reading and writing activities can help students analyze, interpret and communicate mathematical ideas. These are skills needed to evaluate sources of information and the validity of the information itself, a key competency for mathematically literate citizens.
Many of the process skills needed for mathematics are similar to reading skills and, when taught together, would reinforce each other. Examples of common skills are predicting, inferring, communicating, comparing and contrasting, and recognizing cause and effect relationships. Teachers who recognize the interrelatedness of mathematics and literacy processes can design instruction that reflects these similarities. Becoming a Nation of Readers suggests that the most logical place for instruction in most reading and thinking strategies is in the content areas rather than in separate lessons about reading.
The importance of writing in the mathematics classroom cannot be overemphasized. In the process of writing, students clarify their own understanding of mathematics and hone their communication skills. They must organize their ideas and thoughts more logically and structure their conclusions in a more coherent way. Competency in writing can only be accomplished through active practice; solving mathematics problems is a natural vehicle for increasing students’ writing competence.
Step-by-step explanation:
Answer these questions.
8 - -9
-4 + -3
-8 - -7
-4 + 6
5 - -3
5 - 3
-6 - -6
Answer:
Step-by-step explanation:
17
-7
-1
2
8
2
0
Answer:
8 - -9 = 17
-4 + -3 = -7
-8 - -7 = -1
-4 + 6 = 2
5 - -3 = 8
5 - 3 = 2
-6 - -6 = 0
HELP IM CONFUSED PLEASE EXPLAIN
Answer:
A. The first one
Step-by-step explanation:
its just is
Select the correct answer.
A circle has a radius of 6 inches and a central angle of 60°. What is the measure of the arc length associated with this angle?
Answer:
2π inches or approximately 6.28 inches
Step-by-step explanation:
The formula for the arc length of a circle is:
arc length = (central angle / 360) x 2πr
where r is the radius of the circle.
Plugging in the given values, you get:
arc length = (60/360) x 2π(6)
arc length = (1/6) x 12π
arc length = 2π
So, the measure of the arc length associated with a central angle of 60° and a radius of 6 inches is 2π inches or approximately 6.28 inches.
Match each word to its example in the chart.
Vocabulary about Sports Assess-Quie-Level G
A journalist who has a big story due today but
hasn't started it yet
A farmer who puts all his energy toward growing
only tomatoes
A student with the talent and desire to one day
play in an orchestra
A program that uses art to help students learn
science and math
concentrate
integrated
potential
pressure
Why have I matched each word to its corresponding example in the chart based on their meanings?
Pressure refers to the feeling of being stressed or overwhelmed by a task or responsibility, which is applicable to the journalist who has a deadline to meet but hasn't started the story yet.Concentrate means to focus all of one's attention and energy on a specific task or goal, which describes the farmer who puts all their effort into growing tomatoes.Potential refers to the ability or capacity to develop into something in the future, which is applicable to the student with the talent and desire to play in an orchestra.Integrated means to combine or blend different things into a unified whole, which is applicable to the program that uses art to help students learn science and math.Learn more about journalist here,
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The functions f(x) and g(x) are shown on the graph.
The graph shows a v-shaped graph, labeled f of x, with a vertex at the origin, a point at negative 1 comma 1, and a point at 1 comma 1. The graph shows another v-shaped graph, labeled g of x, which has a narrower opening than f of x, with a vertex at the origin, a point at negative 1 comma 4, and a point at 1 comma 4.
What transformation of f(x) will produce g(x)?
g of x equals f of one fourth times x
g of x equals negative one fourth times f of x
g(x) = f(4x)
g(x) = −4f(x)
The transformation that produce function g(x) from f(x) is that g(x) = 4 f(x).
Given graphs of f(x) and g(x).3
Both are v shaped graphs, which is probably modulus functions.
For the graph of f(x),
Vertex = (0, 0)
Other points = (-1, 1) and (1, 1)
For the graph of g(x),
Vertex = (0, 0)
Other points = (-1, 4) and (1, 4)
Here the coordinates can be related as,
(x, f(x)) transformed to (x, 4f(x))
So g(x) = 4 f(x).
Hence the transformation is g(x) = 4 f(x).
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please answer in full detail
Answer:
[tex] \frac{ {m}^{4} \times { {m}^{3} }}{ {m}^{5} } = \frac{ {m}^{7} }{ {m}^{5} } = {m}^{2} [/tex]
So a = 2.
Which choice is equivalent to the quotient shown here for acceptable values of X? A,B,C,D?
Answer: D
Step-by-step explanation: Cuz i just know
The area of a triangle is 154 square inches. The base is 14 inches. What is the height in inches? Do not include units in your answer.
The height of the triangle is, 22 units.
WE know that triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that the area of a triangle is 154 square inches. The base is 14 inches.
Now, We get;
Base = 14 units
Height =h units
We know that;
Area of triangle = 1/2 x base x height
154 = 1/2 x 14 x h
h = 154 / 7
h = 22
Thus, The height is, 22 units.
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2. Find some real world data examples (similar to our class activity). \begin{enumerate}
We can find many real world data examples, some of them are listed below.
What is a data?Data refers to a collection of facts, statistics, or information that can be analyzed to gain insights or knowledge about a particular topic or phenomenon. It can be in the form of numbers, text, images, or any other format that can be processed by computers or analyzed by humans. Data is used in a variety of fields, including business, science, healthcare, and social sciences, to make informed decisions, identify patterns, and discover trends.
1. Sales data for a retail store: tracking the daily or weekly sales data for a store can help identify patterns and trends, such as which products are selling well or of which days of the week have the highest sales.
2. Traffic data for a city: collecting data on traffic patterns, such as average travel times or peak traffic hours, can help city planners make decisions on road infrastructure improvements and traffic flow management.
3. Medical data for patient outcomes: analyzing data on patient outcomes, such as hospital readmission rates or mortality rates, can help healthcare providers identify areas for improvement in patient care and treatment protocols.
4. Climate data: tracking data on temperature, rainfall, and other weather patterns can help scientists understand climate trends and make predictions about future climate conditions.
5. Stock market data: analyzing stock market data can help investors make decisions about which stocks to buy or sell based on trends in stock prices and company performance.
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Find area of the shaded sector of the circle to the nearest tenth
Answer:
Step-by-step explanation:
area of shaded region
[tex]=\pi r^2 \times\frac{121}{360} \\\\=\pi 8^2\times \frac{121}{360} \\=\frac{121 \pi }{45} \\\approx 8.447\\\approx 8.4~sq.~ft[/tex]
5 seniors and 4 juniors are competing for three different places on a quiz bowl team.
What is the approximate probability that all seniors will be chosen at random?
Type your answer to the 3rd decimal place.
The probability that all seniors will be chosen at random is 5/9.
We have,
Seniors = 5
Juniors = 4
Total number of people= 5 + 4 = 9
So, the probability that all seniors will be chosen at random is
= Number of senior/ total number of person
= 5 / 9
Thus, the required probability is 5/9.
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What is the simplest form of the radical expression?
√2 + √3 / √2 - √3
The simplest form of the radical expression (√2 + √3) / (√2 - √3) is -5 - 2√6.
What is the simplest form of the given radical expression?Given the radical expression in the question;
(√2 + √3) / (√2 - √3)
To simplify the expression, we need to eliminate the radical in the denominator.
We can do this by multiplying both the numerator and denominator by the conjugate of the denominator, which is (√2 + √3):
[(√2 + √3) / (√2 - √3)] × [ (√2 + √3) / (√2 + √3) ]
= (2 + √6 + √6 + 3) / (2 - √9)
= (5 + 2√6) / (2 - 3)
= (5 + 2√6) / (-1)
= -5 - 2√6
Therefore, the simplified form is -5 - 2√6.
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(x-4 8/11) + 1 9/11= 7 3/11 solve for x
Using the simplification of an equation we can get the value of x to be,
x = 10 2/11.
Define equations?Equations are mathematical statements with the equals (=) symbol and two algebraic expressions on either side. This illustrates the equality of the relationship between the expressions printed on the left and right sides. The formula LHS = RHS (left hand side equals right hand side) is utilised in all mathematical equations. To determine the value of an unknown variable that represents an unknown quantity, you can solve equations. A statement is not regarded as an equation if it has no "equal to" symbol. It'll be regarded as a term.
Here in the question,
The given equation is:
(x-4 8/11) + 1 9/11= 7 3/11
Simplifying it, we get:
(x - 52/11) + 20/11 = 80/11
Subtracting 20/11 from both sides:
x - 52/11 = 60/11
Adding 52/11 on both side:
x = 112/11
x = 10 2/11
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From a hot-air balloon, Ian measures a 30
∘
∘
angle of depression to a landmark that’s 1250 feet away, measuring horizontally. What’s the balloon’s vertical distance above the ground? Round your answer to the nearest tenth of a foot if necessary.
The balloon’s vertical distance above the ground will be 721.7 feet.
Given that:
Lan measures a 30° dip to a point that is 1250 feet distant from a hot air balloon while measuring horizontally.
It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The vertical height of the air balloon is calculated as,
tan 30° = h / 1250
h = 1250 x tan 30°
h = 721.7 feet
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i need help on my work asap
Answer: The answer is 21 because for X: 23 + 2 = 25, 25 + 3 = 28, 28 + 4 = 32
Step-by-step explanation: Please give Brainlist.
Hope this helps.
I can answer more questions for brainlists.
the question is: at the end of a baseball game, the players were given the choice of having a bottle of water or a box of juice. of alll the players, 12 chose a bottle of water, which was 3/4 of the total number of players. write and solve and dequation to determine p. the total numbers of player at the baseball game. whats is p?
The total number of players at the baseball game was 16.
To solve this problem, we can use a proportionality equation.
If we let "p" be the total number of players at the baseball game and "y" be the number of players who chose a bottle of water, we can set up the equation:
y ÷ p = 3 ÷ 4
According to the problem statement, 12 players chose a bottle of water, which is 3/4 of the total number of players.
So we can substitute that in:
12 ÷ p = 3 ÷ 4
To solve for "p", we can cross-multiply and simplify:
12 × 4 = 3 × p
48 = 3 × p
p = 48 ÷ 3
p = 16
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Exponential Regressions (Level 1)
?
The accompanying table shows the value of a car over time that was purchased for
13800 dollars, where x is years and y is the value of the car in dollars. Write an
exponential regression equation for this set of data, rounding all coefficients to the
nearest thousandth. Using this equation, determine the value of the car, to the
nearest cent, after 10 years.
Years (x) Value in Dollars (y)
X 0 1 2 3 4 5 6
Y 13800 12026 10562 8063 6926 6112 4783
Answer:
Plot the points on the graphing calculator. Then generate an exponential regression model.
y = 14,220.322(.838^x)
After 10 years:
y = 14,220.322(.838^10) = 2,428.56
After 10 years, the value of the car is $2,428.56.
Find the length of arc in cm.
Answer: 1 cm
Step-by-step explanation:
To find the length of arc, multiply the fraction of the circle to the Circumference
Looks like:
[tex]\frac{part of circle}{whole circle} (2\pi r)[/tex]
r=3/[tex]\pi[/tex]
length = [tex]\frac{120}{360} (2\pi)\frac{3}{\pi }[/tex] pi's cancel, now reduce
= 2 cm
Solve following differential equation by changing independent variable: `(d^(2)y)/(dx^(2))=-(1)/(x)(dy)/(dx)+4x^(2)y=x^(4)`
Answer: Let u = ln(x). Then, we have:
y = y(u)
dy/dx = dy/du * du/dx = dy/du * (1/x)
d^2y/dx^2 = d/dx (dy/du * du/dx) = d^2y/du^2 * (1/x)^2 - dy/du * (1/x^2)
Substituting these into the original differential equation yields:
d^2y/du^2 - dy/du + (4 - e^u)y = e^(2u)
This is now a second-order ordinary differential equation in y with constant coefficients, which can be solved using standard methods such as the characteristic equation or undetermined coefficients.
Step-by-step explanation:
Sophia deposited $80,000 in a savings account with simple interest. One year later, she had earned $12,000 in interest. What was the interest rate?
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$ 12000\\ P=\textit{original amount deposited}\dotfill & \$80000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &1 \end{cases} \\\\\\ 12000 = (80000)(\frac{r}{100})(1) \implies \cfrac{12000}{80000}=\cfrac{r}{100} \\\\\\ \cfrac{3}{20}=\cfrac{r}{100}\implies \cfrac{300}{20}=r\implies \stackrel{ \% }{15}=r[/tex]
You run around the perimeter of the baseball field at a rate if 9 feet per second how long does it take you to run around the baseball field to the nearest tenth of a second
it will take you approximately 31.4 seconds to run around the baseball field at a rate of 9 feet per second.
How to find how long does it take you to run around the baseball fieldThe time it takes to run around the baseball field will depend on the distance around the field.
Assuming the field is a perfect circle and has a diameter of 90 feet (which is a common size for a baseball field).
The circumference of a circle with diameter 90 feet is:
C = πd = π(90) = 90π feet
To run around the perimeter of the baseball field, you will need to cover a distance of 90π feet.
Using the formula:
time = distance / rate
we can calculate the time it takes to run around the baseball field:
time = (90π feet) / (9 feet/second)
time = 10π seconds
time ≈ 31.4 seconds (rounded to the nearest tenth of a second)
Therefore, it will take you approximately 31.4 seconds (rounded to the nearest tenth of a second) to run around the baseball field at a rate of 9 feet per second.
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