Answer:
.1113490364
Step-by-step explanation:
this is the answer.
Find the length of BC
A. 6.81
B. 7.64
C. 13.37
D. 29.44
Answer:
13.37 = BC
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = opp / hyp
cos 27 = BC / 15
15 cos 27 = BC
13.36509 = BC
Rounding to the nearest hundredth
13.37 = BC
If the figure below is translated in the direction described by the arrow, what will be the new coordinates of point D after the transformation?
The new coordinates of point D after the transformation(-4 -4)
How can new coordinates be found after translation?If the following figure is translated in the manner given, then - 1By adding the value of the horizontal translation to the initial x-coordinate (adding a negative amount if translating to the left), one may get the new x-coordinate of the moved point.A point moves along the x-axis when it is translated to the right or left, changing its x-coordinate. As a result, if a point is moved one unit to the right, its x-coordinate rises by one unit, changing the value of the point (x,y) to (x+a,y).The new coordinates of point D after the transformation (-4 -4).To learn more about coordinates refer to:
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Identify the properties of the given quadratic.
y = −3x2 + 6x + 17
a:
b:
c:
Answer:
A:-3 B:6 C:17
Step-by-step explanation:
Answer:
contains all of the answers on the page
☆
EDGE 2022
7th grade math help me plzzz
Answer:
a. -10 + 8
b. -20 +10
c. -20 + 20
d. -20 +5
Step-by-step explanation:
can u give me brainliest please?? :>
An object moves in a straight line so that its velocity, v m/s , at any time t seconds is given by v(t) = \(0.5t^{2} - 2.5t + 2\) .
a)Find the equation that represents the acceleration at any time t.
b)Find the equation representing the position,x metres,at any time t,given that the object is 2.5 metres to the right of the origin when t=0 seconds.
a) \(a(t) = t -2.5\)
b) \(x(t) = \frac{1}{6}t^3 -\frac{5}{4}t^2 +2t +2.5\\\)
Step-by-step explanation:Part a:
Acceleration is just the derivative of velocity. In this case, we are given how the velocity, \(v(t)\), is defined. If we take the derivative of \(v(t)\) that'll be our acceleration.
Recall:
\(\frac{\mathrm{d}}{\mathrm{d}x}(x^n) = nx^{n -1}\\\)
\(\frac{\mathrm{d}}{\mathrm{d}x}(f(x) +g(x)) = \frac{\mathrm{d}}{\mathrm{d}x}(f(x)) +\frac{\mathrm{d}}{\mathrm{d}x}(g(x))\\\)
\(\frac{\mathrm{d}}{\mathrm{d}x}(a \cdot f(x)) = a \cdot \frac{\mathrm{d}}{\mathrm{d}x}(f(x))\\\)
Let \(a(t)\) be the acceleration. Solving for \(a(t)\):
\(v(t) = 0.5t^2 -2.5t +2 \\ \frac{\mathrm{d}}{\mathrm{d}t}(v(t)) = \frac{\mathrm{d}}{\mathrm{d}t}(0.5t^2 -2.5t +2) \\ a(t) = \frac{\mathrm{d}}{\mathrm{d}t}(0.5t^2) -\frac{\mathrm{d}}{\mathrm{d}t}(2.5t) +\frac{\mathrm{d}}{\mathrm{d}t}(2) \\ a(t) = 0.5\frac{\mathrm{d}}{\mathrm{d}t}(t^2) -2.5\frac{\mathrm{d}}{\mathrm{d}t}(t) +\frac{\mathrm{d}}{\mathrm{d}t}(2) \\ a(t) = 0.5(2t) -2.5 +0 \\ a(t) = t -2.5\)
Part b:
Position is the same thing as displacement (Although they are fundamentally different but it's okay to treat them as similar things in this case). Displacement is just the integral of velocity. If we take the integral of \(v(t)\) that'll be our displacement.
Please refer to my Answer from this question to know the needed information of integrals to solve: brainly.com/question/24687635
Recall:
\(\int (a \cdot f(x)) \mathrm{d}x = a\int f(x) \mathrm{d}x\\\)
\(\int (f(x) +g(x)) \mathrm{d}x = \int f(x) \mathrm{d}x +\int g(x) \mathrm{d}x\\\)
Let \(x(t)\) be our position. Solving for \(x(t)\):
\(v(t) = 0.5t^2 -2.5t +2 \\ \int v(t) \mathrm{d}t = \int (0.5t^2 -2.5t +2) \mathrm{d}t \\ x(t) = \int (0.5t^2) \mathrm{d}t -\int (2.5t) \mathrm{d}t +\int (2) \mathrm{d}t \\ x(t) = 0.5\int (t^2) \mathrm{d}t -2.5\int (t) \mathrm{d}t +\int (2) \mathrm{d}t \\ x(t) = 0.5(\frac{t^3}{3}) -2.5(\frac{t^2}{2}) +2t +C \\ x(t) = \frac{1}{6}t^3 -\frac{5}{4}t^2 +2t +C\)
We still have to solve for \(C\). We are given that at \(t = 0\), \(x(t) = 2.5\). We can therefore write the equation: \(x(0) = 2.5\) or \(\frac{1}{6}(0)^3 -\frac{5}{4}(0)^2 +2(0) +C = 2.5\\\).
Solving for \(C\):
\(\frac{1}{6}(0)^3 -\frac{5}{4}(0)^2 +2(0) +C = 2.5\\ 0 -0 +0 +C = 2.5 \\ C = 2.5\)
We can also write the equation:
\(x(t) = \frac{1}{6}t^3 -\frac{5}{4}t^2 +2t +2.5\\\)
Original price of shorts $53.95 Discount 30% Tax 4.5?
Please help what’s the correct answer ???
Answer:
72.8325
Step-by-step explanation:
I think it is that
Find the perimeter of a rectangular garden that has a width of 4x−6 and a length of 2x+4.
Answer:
perimwter = 2(4x-6 + 2x+4) = 2 (6x-2) = 12x-4
There are 267 students and 21 adults going on a school field trip an equal number of people will ride on each bus if there are nine how many people will ride on each bus write and solve equations
Answer:
32 people will be on each bus
Step-by-step explanation:
The school is planning to add 2 new playgrounds. Each playground will be in the shape of a square that measures by 24m by 24m.What will be the area of the playgrounds?
Answer: 1152 sq m
Step-by-step explanation: 24x24=576+ 24x24=576 so 576+576
1.2 Generate a three-column table where you evaluate how learning takes place according to: • Piaget • Vygotsky • Bruner (15)
While Piaget, Vygotsky, and Bruner have different perspectives on how learning occurs, they all emphasize the active role of the learner in constructing knowledge and the importance of social interaction and cultural influences in the learning process.
Here's a three-column table evaluating how learning takes place according to Piaget, Vygotsky, and Bruner:
Theorist Approach to Learning Key Concepts
Piaget Constructivism 1. Schema: Individuals actively construct their knowledge through assimilation and accommodation, organizing information into mental structures called schemas. 2. Stages of Development: Learning occurs through cognitive development stages, from sensorimotor to formal operational, where individuals progressively acquire more complex mental abilities. 3. Active Exploration: Children learn best through hands-on exploration and interactions with the physical world.
Vygotsky Sociocultural Theory 1. Zone of Proximal Development (ZPD): Learning takes place within the gap between a learner's actual developmental level and their potential level with guidance from a more knowledgeable other. 2. Social Interaction: Learning is facilitated through social interactions with peers and adults, such as cooperative learning and scaffolding. 3. Cultural Tools: The use of language, symbols, and cultural artifacts plays a central role in cognitive development and learning.
Bruner Constructivism 1. Scaffolding: Instruction should provide support and guidance tailored to the learner's current abilities to help them progress to higher levels of understanding. 2. Discovery Learning: Learners construct knowledge by actively exploring and discovering concepts and relationships on their own. 3. Spiral Curriculum: Learning is organized in a spiral manner, revisiting key concepts and building upon previous knowledge in a progressive and interconnected way.
While Piaget, Vygotsky, and Bruner have different perspectives on how learning occurs, they all emphasize the active role of the learner in constructing knowledge and the importance of social interaction and cultural influences in the learning process.
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If the area of a circle is 113.04 sq ft, what is the diameter of that circle?
We have to use the formula of the area of a circle
\(A=\pi(r)^2\)Where A = 113.04, let's replace this value and solve for r
\(\begin{gathered} 113.04=\pi(r)^2 \\ r^2=\frac{113.04}{\pi}\approx36 \\ r=\sqrt[]{36}=6 \end{gathered}\)The radius of the circle is 6 feet long.
We know that the diameter is double the radius. So,
\(d=2r=2\cdot6=12\)Hence, the diameter of the circle is 12 feet.The point P=(1/2,y)lies on the unit circle shown below. What is the value of y in simplest form?
The value of y in simplest form for the point P = (1/2, y) lying on the unit circle is y = ± √(3)/2.
To find the value of y in simplest form for the point P = (1/2, y) lying on the unit circle, we can use the equation of the unit circle, which states that for any point (x, y) on the unit circle, the following equation holds: x^2 + y^2 = 1.
Plugging in the coordinates of the point P = (1/2, y), we get:
(1/2)^2 + y^2 = 1
1/4 + y^2 = 1
y^2 = 1 - 1/4
y^2 = 3/4.
To simplify y^2 = 3/4, we take the square root of both sides:y = ± √(3/4).
Now, we need to simplify √(3/4). Since 3 and 4 share a common factor of 1, we can simplify further: y = ± √(3/4) = ± √(3)/√(4) = ± √(3)/2.
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I will do anything you want!!! And I’ll give extra points!
2. Josh is making meringue cookies for a family gathering. There are lots of people coming, so he's
scaling up the recipe by 4. If 1 recipe calls for 4 eggs, how many 1-dozen egg cartons should he
buy?
a. 1 carton b. 2 cartons C. 3 cartons d. 4 cartons
3. How much would you have to pay for 12 gallons of gasoline at $2 per gallon? Round your answer
based on the problem context.
a $28
b. $22
c. $24
d. $20
4. Identify the property used to simplify the equation.
x-1=7 → X= 8
a. subtraction property of equality
b. addition property of equality
c. division property of equality
d. multiplication property of equality
Answer:
2. b 4 time 4 equals 16 and 12 in a dozen so 2 cartons of eggs
3.c 12 gallons times 2 dollars per gallon equals 24 dollars
4. a or b
I think b but I'm not sure
Choose two statements that are true for this expression.
6x^3-8x^2-40/y+21
A. The entire expression
B. There are three terms
C. There are four terms
D. The term -40/y is a ratio
Answer:
C and D
Step-by-step explanation:
A P E X verified
Find the quotient of z₁ by z2. Express your answer in
trigonometric
form.
² - 3 (0 (4) + (*))
Z₁ cos
+/sin
Z₂
²2 = 7 (cos(377)+
COS
8
O A. 7 (cos (577) + i sin (5/77))
8
B.
21(cos(577)+isin (577))
8
OC. 21 cos
21(cos(-7)+ i sin(-77))
O D. 7 (cos(-7) + + sin(-7))
i
+/sin
37T
8
The quotient of z₁ by z₂ in trigonometric form is:
7/21 * (cos(584°) + i sin(584°))
To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.
Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.
We have:
z₁ = 7(cos(577°) + i sin(577°))
Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.
From the given information, we have:
z₂ = 21(cos(-7°) + i sin(-77°))
To find the quotient, we divide z₁ by z₂:
z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]
Substituting the given values, we have:
z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]
= (7/21) * [cos(584°) + i sin(584°)]
The quotient of z₁ by z₂ in trigonometric form is:
7/21 * (cos(584°) + i sin(584°))
Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.
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Solve for m∠PNM.
58
186
97
87
The calculated measure of m∠PNM is 87 degrees
How to calculate the meausre of m∠PNM.from the question, we have the following parameters that can be used in our computation:
The circle
Where, we have
PM = 360 - 64 - 122
Evaluate
PM = 174
Next, we have
m∠PNM = 1/2 * 174
So, we have
m∠PNM = 87
Hence, the measure of m∠PNM is 87 degrees
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Which of the following sets of ordered pairs represents a function?
{(−3, −3), (−2, −2), (−1, −1), (0, 0), (1, 1)}
{(−3, −3), (−3, −2), (−3, −1), (−3, 0), (−4, −1)}
{(−3, −3), (−3, −1), (−1, −2), (−1, −1), (−1, 0)}
{(−3 −3), (−3, 0), (−1, −3), (0, −3), (−1, −1)}
The 1st one/Top one.
X value is different each time. Function can have the same y-value (3, 1), (2, 1) but can't have the same x-value (3, 1) (3, 3)
Select the correct name in the table.
A teacher arranged some pencils on her desk as shown below and asked her students what concept the pencils demonstrated.
Allie said the pencils are an example of perpendicular lines.
Caryl said the pencils are an example of perpendicular segments.
Frank said the pencils are an example of parallel lines.
Hector said the pencils are an example of parallel segments.
Morgan said the pencils are an example of lines that are neither parallel nor perpendicular.
Terrence said the pencils are an example of segments that are neither parallel nor perpendicular.
Which student answered correctly?
Allie Caryl Frank
Hector Morgan Terrence
The person that is correct among the students is Frank who said the pencils are an example of parallel lines.
What are parallel lines?Parallel lines are lines that can never meet. These are lines that run a direction that is quite opposite to each other as we can see from the image. It is clear that the lines as shown are not able to meet at any point even if they are extended.
Thus, the person that is correct among the students is Frank who said the pencils are an example of parallel lines.
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Al lanzar un dado determinar la probabilidad de que salga un número primo o un número mayor que 3
The probability of a prime number or a number greater than 3 coming up is given as follows:
5/6.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
When a dice is thrown, there are six possible outcomes, ranging from 1 to 6, and the desired outcomes are given as follows:
Prime numbers: 2, 3, 5.Non-prime greater than 3: 4 and 6.Hence the probability is given as follows:
5/6.
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x+5/x^2 = 1/3x - 1/3x^2
Answer:
x= 3√126 /3
Step-by-step explanation:
hope this helps
A jar contains only one blue tile, one green tile, one red tile, and one yellow tile. If a tile is chosen at random and then replaced in the jar, and then a second tile is chosen at random, how many of the possible outcomes contain at least one red tile? 1 2 4 7
Answer:
7
Step-by-step explanation:
Bluegreen
Bluered
Blueyellow
Greenblue
Greenred
Greenyellow
Redblue
Redgreen
Redyellow
Yellowblue
Yellowgreen
Yellowred
Answer: 7
Step-by-step explanation:
Took on computer
simplify pls do fast
The sum of the decimal values given is 0.93
Simplifying the decimal values can be done thus :
0.36 + 0.57Both values are in two decimal places, hence we can multiply by 100 to obtain a whole number .
0.36*100 = 36
0.57*100 = 57
Adding the whole numbers :
__36
+_57
_____
__93
Dividing the sum by 100 to convert to an equivalent decimal value,
93/100 = 0.93Therefore, the required value is 0.93
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A smoke jumper jumps from a plane that is 1700 ft above the ground. The function h=-161² + 1700 gives the jumper's height h in feet during the free fall at t seconds.
a. How long is the jumper in free fall if the parachute opens at 1000 ft?
b. How long is the jumper in free fall if the parachute opens at 930 ft?
c. What is a reasonable domain and range for the function h?
a. The jumper is in free fall fors if the parachute opens at 1000 ft.
(Round to two decimal places as needed.)
Answer:
a. 6.6-sec b. 6.89 sec
Step-by-step explanation:
There are 2 red marble, 4 green marbles and 4 blue marbles. What is the probability or randomly selecting a green not replacing it, then selecting a blue ??
Answer: 4/15
Step-by-step explanation:
If j=(2,8) and k=(10,2) what is the length of jk
Answer:
(5,6) (6,7)
Step-by-step explanation:
L1 : y = 2x , (2) find the equation of the line L2 perpendicular to L1 passing through the point P = (1, 2).
Answer:
2y+x = 5Step-by-step explanation:
Given the line L1 as y = 2x perpendicular to an unknown line L2 passing through the point P = (1, 2), we are to find the equation of line L2. to find the equation of the line L2, we will use the point-slope equation of a line expressed as y-y₀ = m(x-x₀)
m is the slope of the unknown line
(x₀, y₀) is the given point.
First is to get the slope of the known line:
comparing the line L1: y = 2x with the standard equation of the line y = mx+c, it can be seen that m = 2
Then we will calculate the slope of the required line.
Since L1 is perpendicular to L2, the product of their slope will be -1 i.e
mm₁ = -1 where m₁ is the slope of the required line L2.
Given m =2
m₁ = -1/m
m₁ = -1/2
Finally we will calculate the equation of line L2 by substituting the slope of line L2 and the point in the point slope equation above;
y-y₀ = m(x-x₀)
Given (x₀, y₀) = (1,2) and m₁ = -1/2
y-2 = -1/2(x-1)
open the parenthesis
y-2 = -x/2+1/2
multiply through by 2:
2y-4 = -x+1
2y+x = 1+4
2y+x = 5
Hence the equation of the line L2 is 2y+x = 5
if f(x) =2x^2+5 (x-2) completel the following statement f(3)=
Answer:
41
Step-by-step explanation:
f(3) = 2(3)^2 +5(x-2)
= 2(18)+ 5
= 41
Select all the true statements
The true statements are;
1) AB + BC = AC
Length of BC = |6 - 1|
2) ∠JMK = 50°
∠KML = 35°
How to Interpret Number Line intervals?
1) From the given number line interval, we can deduce the interpretation as follows;
AB + BC = AC
Length of BC = 5 units or |6 - 1|
Length of B = 3 Units
2) We can see that ∠JML is an angle triangle. Thus, ∠JML = 85°. Thus;
6x + 2 + 4x + 3 = 85
10x + 5 = 85
10x = 85 - 5
10x = 80
x = 80/10
x = 8°
Thus;
∠JMK = 6(8) + 2
∠JMK = 50°
∠KML = 85° - 50°
∠KML = 35°
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scores on a management aptitude examination are normally distributed with a mean of 72 and a standard deviation of 8.we want to find the lowest score that will place a manager in the top 10% (90th percentile) of the distribution. which of the following is true to solve this problem?
The lowest score for the normally distribution with mean 72 and standard deviation 8 is equal to 82.
Mean of the normally distributed data 'μ' = 72
Standard deviation 'σ ' = 8
Lowest score with 10% ( 90percentile )
z = InvNorm(0.90)
= 1.28
Let 'X' be the lowest score for the normal distribution
z = ( X - μ ) / σ
Substitute the values we get,
⇒ 1.28 = ( X - 72 ) / 8
⇒ X - 72 = 1.28 × 8
⇒ X = 10.24 + 72
⇒ X = 82.24
⇒ X = 82 ( round to an integer )
Therefore, the lowest score for normally distribution which will place manage on 90th percentile with given mean and standard deviation is equal to 82.
The above question is incomplete, the complete question is:
Scores on a management aptitude examination are normally distributed with a mean of 72 and a standard deviation of 8.we want to find the lowest score that will place a manager in the top 10% (90th percentile) of the distribution. Your answer is Please round to an integer number.
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The length, I, of your arm is usually about 3/8 of your height,
h. Which equation demonstrates this?
3/8h=l
3/8l=h
h=5/8l
l=8/3h
Answer:
l=8/3h equation demonstrates this