Answer:
62.3 units²
Step-by-step explanation:
We would apply the formula for area of a triangle given an included angle, which is A = ½*ab*sin C
Where,
a = 11
b = 14
C = 54°
Substitute
Area = ½*11*14*sin 54
Area = 62.2943085 ≈ 62.3 units² (nearest tenth)
Simplify ( X^2 * X^4)^3 Explain your steps.
Answer:
x^18
Step-by-step explanation:
(x^2x^4)^3
=(x^6)^3
=x^6*x^6*x^6
=x^18
The water level of a tank every minute since it began filling is indicated by segments A, B, and C on the graph below.
Filling Water Tank
Place the segments in the correct order from the least to the greatest rate of increase in the water level.
A
0
B
→x
Answer: BCA
Step-by-step explanation:
sssssssssssssssssssssss sheeeeeeeeeeeeeeeeeesh help me pls
Answer:
A. 60
hope this helps
have a good day :)
Step-by-step explanation:
Answer: The answer is 60
Step-by-step explanation:
32 + 41 + 43 + 50 + 70 + 73 + 80 + 88 = 477
then divide 477 by the amount of numbers there which is 8
477 divided by 8 = 59.625
59.6 to the highest tens is 60
because 6 is highter then 5
someone buys a watch for y including sales tax at 15%. show that the sales tax paid is 3y/23
The sales tax paid 1.15=3y/23
What is Sales tax?
Government-imposed consumption taxes on the purchase of goods and services are known as sales taxes. Typically, a sales tax is assessed at the point of sale, paid to the store, and then forwarded to the government. A company is responsible for paying sales taxes in a specific jurisdiction if it has a nexus there. Depending on the local rules, this could be a physical location, a worker, an affiliate, or some other kind of presence.
Step by step Explaination:
Sales tax: 15%
Converting 15%=15/100
=0.15
To show sales tax paid is 3y/23
0.15=3y/23
Multiply both side by 23
23*0.15=3y
3.45=3y
Divide both sode by 3
3.45/3=y
y=1.15
The sales tax paid 1.15=3y/23(as the purchase price includes sales tax).
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A particle is located at vector r = (0.54,)i + (-36m)j +(p.85m)k constant force of magnitude 2.6 N acts on the particle. Find the components of the torque about the origin when the force acts in (a) the positive x direction and (b) the negative z direction.
The components of the torque about the origin when the force acts in
(a) the positive x direction is 1.4N.
(b) the negative z direction is 2.21N.
What is constant force of magnitude?
The motion of a particle occurs on a plane and is influenced by a force of constant magnitude that is always perpendicular to the particle's velocity.
Given:
A particle is located at vector r = (0.54m)i + (-36m)j +(.85m)k constant force of magnitude 2.6 N acts on the particle.
We have to find the torque about positive x direction and negative z direction.
At the positive x direction the torque is (T)
= the x component of position vector . F
= 0.54 x 2.6
= 1.4 N
At negative z direction Torque = - (z component of position vector).F
= .85 x 2.6
= 2.21 N
Hence,
The components of the torque about the origin when the force acts in
(a) the positive x direction is 1.4N.
(b) the negative z direction is 2.21N.
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Adam has at most $60 to spend on shoes and socks. He finds a pair of shoes for $42. Socks cost $4 per pair. Write and solve and inequality to determine how many pairs of socks he could buy.
Answer:
42+4x<60
Step-by-step explanation:
Answer:
42+4x≤60
Step-by-step explanation:
neeed helllpppp nowwwwww
Answer:
25 degrees
Step-by-step explanation:
360 - 245 - 62 - 28 = x
Answer: x= 25
Step-by-step explanation:
Angles around a point sum to 360.
245+28+62+x= 360. Combine like terms.
335+x=360. Subtract 335 from both sides.
X=25
What is 2.03_2.021 greater than less then or equal to !?
Answer:greater
Step-by-step explanation: .03 is greater than .02, think about it is 3 less or greater than 2?
can x=4 in the expression 3(x-1)=20
if we take x=4 in the above expression we get,
3(4-1)=20
3×3=20
9≠20
so we can understand that x=4 is not the right value of x
hope it helps you
Answer:
No
Step-by-step explanation:
We are given the equation:
3(x-1)=20
We want to know if x can equal 4. Therefore, we can substitute 4 in for x. If 4 is a solution, then both sides of the equation will be the same.
3(x-1)=20
x=4
3(4-1)=20
Solve inside the parentheses first. Subtract 1 from 4.
3(3)=20
Multiply 3 and 3
9=20
9\(\neq\)20
9 is not equal to 20. Therefore, 4 cannot be a solution.
A construction crew can dig a pit at a rate of 1914 meters per hour. How deep can they dig in 6 hours?
Answer:
11484m
Step-by-step explanation:
if 1914 = 1hour
Then 6hours= ?
6/1 ×1914
= 11484m
The ratio of polar bears to caribou at the game preserve was 5 to 3. If
there were 125 polar bears, how many caribou were there?
Answer:
Let u be 1 unit.
5u=125
u=125÷5
=25
3u=25×3
=75
There were 75 caribou.
how to calculate temperature of earth 3 billion years ago with albedo?
To calculate the temperature of the Earth 3 billion years ago with albedo, we need to first determine the albedo at that time. This can be done by analyzing various geological and chemical data, such as the composition of rocks and sediments, the presence of specific minerals and isotopes, and the amount of atmospheric gases and aerosols.
Once the albedo is estimated, we can use the Stefan-Boltzmann law, which relates the temperature of a body to its radiative energy emission, to determine the equilibrium temperature of the Earth. The Stefan-Boltzmann law states that the radiative energy emission of a body is proportional to the fourth power of its absolute temperature.
Assuming that the Earth was in radiative equilibrium with the Sun, we can use the following formula to calculate the temperature of the Earth:
T = (S (1 - A) / 4 σ)^(1/4)
where T is the temperature of the Earth, S is the solar constant (the amount of solar radiation received by the Earth), A is the albedo, and σ is the Stefan-Boltzmann constant.
By plugging in the values for S, A, and σ, we can calculate the temperature of the Earth at that time. However, it's important to note that there are many uncertainties and assumptions involved in this calculation, and the estimated temperature should be taken as an approximation.
The temperature of the Earth in the past can be estimated using various geological and climatological data. One important factor that can help in determining the temperature is the Earth's albedo, which is the proportion of solar radiation reflected by the Earth's surface and atmosphere. The albedo can affect the amount of energy the Earth receives from the Sun, which can impact the temperature.
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What is the probability of rolling a number less than 3? express your answer as a simplified fraction or a decimal rounded to four decimal places.
The probability of rolling a number less than or equal to 3 is 0.5.
What is the probability of rolling a number?The likelihood of getting any side of the dice is 1/6 because there are six possible results. Rolling a 1 has a 1/6 chance of happening, a 2 has a 1/6 chance, and so on.The sum of the three probabilities equals 1/36, or the likelihood that all three will occur.A dice has only 6 sides, and only 1 of those sides is 6, meaning there are 16 chances to roll a 6.63 + 216 = total number of outcomes. When a die is rolled, there is a 1/6 chance of rolling a 4.What is the probability of rolling a number less than 3?
Event: The collection or the set of outcomes in an experiment is called as an event.
Outcomes: The possible results of a trail in an experiment are called as outcome.
Probability:
The ratio of the number of favorable outcomes to certain event and the total number of possible outcomes is called as the probability of an event.
The probability of rolling a number less than or equal to 3 is obtained by taking the ratio of the number of favorable outcomes by the total number of outcomes. It is expected about 50% of times that rolling a number less than or equal to 3.
The probability of rolling a number less than or equal to 3 is 0.5.
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can someone pls help
The required area of the parallelogram and pentagon is 91 unit² and 75 unit².
What is surface area?The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
A parallelogram in is shown in figure 1 with the dimensions height = 7 and base = 13,
Area of the parallelogram = 13 × 7 = 91 unit²
Now,
A pentagon is shown in figure 2,
Area of the pentagon = 5 [1/2 × height × side]
= 5 [1/2 × 5 × 6]
= 75 suqare units.
Thus, the required area of the parallelogram and pentagon is 91 unit² and 75 unit².
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Please help it’s due in an hr
Which of these functions has a y-intercept that is
greater than that of the linear function
represented by the table of values below, and
why?
х
у
2
19
4
13
17
6
7
19
9
23
A. y = x + 9, because the y-intercept of the function
represented by the table of values is 2
B. y=x+9, because the y-intercept of the function
represented by the table of values is 5
C. y = 8x+1, because the y-intercept of the
function represented by the table of values is 2
D. y = 8x + 1, because the y-intercept of the
function represented by the table of values is 5
y = x+9 because the y-intercept of the function represented by the table is 5.
============================================================
Explanation:
Let's focus on the first two rows of the table. Plug those coordinates into the slope formula below.
m = (y2-y1)/(x2-x1)
m = (13-9)/(4-2)
m = 4/2
m = 2
The slope is 2.
Then we'll use something like (x,y) = (2,9) along with the slope we found to determine the y intercept b
y = mx+b
y = 2x+b
9 = 2*2+b
9 = 4+b
9-4 = b
5 = b
b = 5
The equation for the table is y = 2x+5
We can check this by seeing that x = 6 leads to y = 2*x+5 = 2*6+5 = 17. I'll let you check the other x values of the table.
Because y = 2x+5 has a y intercept of 5, we're going to aim for answer choice B. The y intercept of y = x+9 is 9 which is larger than what we just found.
Desmond made a scale drawing of a shopping center. In real life, a bakery in the shopping
center is 64 feet long. It is 176 inches long in the drawing. What scale did Desmond use for
the drawing?
11 inches :
feet
Submit
Answer:
4 feet
Step-by-step explanation:
Answer:
Step-by-step explanation:
4
evaluate 207.3×0.04
Let's first just do the multiplication and ignore the decimal points.
2073 x 4 = 8292.
Now there are 3 decimal points we need to consider. So, that gives us an answer of 8.292
:)
What is the radius of the circle if one point of the diameter touches the circle at (-3,1) and the other point touches the circle at (3,-7) ?
When one point of the diameter touches the circle at (-3,1) and the other point touches the circle at (3,-7) that is these are endpoints of diameter. Then the radius of this circle is equals to the 5 units.
Radius of a circle is defined as the distance from the center of the circle to any arbitrary point on it's circumference. It is generally represented by symbol 'R' or 'r'. When the diameter of a circle is known, the formula for Radius, R= Diameter/2. We have specified two endpoints, i.e., (-3,1),(3,-7) of a diameter of a circle. Let the radius of circle be 'r '. We have to determine the value of r that is radius of circle. From the above definition we can say that radius is half of length of diameter. So, first we calculate the length of diameter of circle. Using the distance formula, the distance between two points is written as, \(d = \sqrt{(x_2-x_1)²+(y_2-y_1)²}\)
So, the distance between two points (-3,1),(3,-7) is \(d = \sqrt{ ( 3-(-3))²+(-7 -1)²}\)
=> \(d = \sqrt{6²+8²} =\sqrt{ 36 + 64}\)
=> d = 10 units
so, length of diameter of circle is 10 units. Now, by definition of radius, the radius of circle is half of diameter. Thus, the required value of radius, r is 5 units (10/2).
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i need help 9th grade math
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
The equations are :
\( - 8 x + 4y = - 2\)\(4x - 2y = 1\)The given pair of equations have infinitely many solutions.
(because the first equation is the product of second equation with -2)
Mr. Clark claims that he has a coin that is weighted so that the probability of heads is 40%. To test this, his students flip the coin 200 times and calculate the relative frequency of heads and tails.
Outcome Heads Tails
Relative frequency 0.38 0.62
Select from the drop-down menus to correctly complete each statement.
The relative frequency of heads is
A.reasonably close to
B.very different from
40%.
Mr. Clark's claim about the theoretical probability is likely to be
A.true
B.false
This means that the theoretical probability of tails is most likely
A.0.50
B.0.60
C.0.70
The relative frequency of heads is reasonably close to 40%.Mr. Clark's claim about the theoretical probability is likely to be false. This means that the theoretical probability of tails is most likely 0.60.
The relative frequency is the ratio of the number of times an event occurred to the total number of trials. In this case, the relative frequency of heads is 0.38 and tails is 0.62.The theoretical probability of an event is the number of favorable outcomes divided by the total number of possible outcomes.
Here, Mr. Clark claims that the coin is weighted so that the probability of heads is 40%. Therefore, the theoretical probability of heads is 0.40.However, the relative frequency of heads after 200 trials is only 0.38, which is reasonably close to 0.40. Hence, the relative frequency of heads is reasonably close to 40%.
Mr. Clark's claim about the theoretical probability of heads is likely to be false because the relative frequency of heads is less than the theoretical probability of heads (0.38 < 0.40).Therefore, the theoretical probability of tails is 1 - 0.40 = 0.60 because the coin is fair, so the probabilities of heads and tails should add up to 1. Thus, the theoretical probability of tails is most likely 0.60.
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FILL IN THE BLANK. if it is impossible for events a and b to occur simultaneously, the events are said to be dependent. for such events, p(a or b) = ________.
When events A and B are mutually exclusive or disjoint, the probability of either event A or event B occurring is equal to the sum of their individual probabilities, represented by P(A or B) = P(A) + P(B).
If it is impossible for events A and B to occur simultaneously, the events are said to be mutually exclusive or disjoint.
For mutually exclusive events, the probability of either event A or event B occurring is equal to the sum of their individual probabilities.
Therefore, for mutually exclusive events A and B, the probability of A or B occurring, denoted as P(A or B), is given by:
P(A or B) = P(A) + P(B)
This is because when events A and B are mutually exclusive, they cannot occur together.
Thus, the probability of either event A or event B happening is simply the sum of their individual probabilities.
It is important to note that this statement holds true only for mutually exclusive events.
If events A and B are dependent or not mutually exclusive, we need to consider other factors such as their joint probability and the probability of their intersection.
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How would this circle proof be set up?
Answer:
Step-by-step explanation:
Given: Circle O with BT as a tangent at point B.
T is the midpoint of arc CD.
To prove: (CA)(TB) = (TA)(CT)
Since point T is the midpoint of arc CD,
Therefore, m(arc CT) = m(arc TD)
and m∠CAT ≅ m∠DAT
m(∠ACT) = 90° [Angle subtended by the diameter]
By applying tangent rule in triangles ACT and ABT,
tan(∠CAT) = \(\frac{CT}{CA}\)
Similarly, tan(∠BAT) = \(\frac{TB}{TA}\)
Since tan(∠CAT) = tan(∠BAT)
Therefore, \(\frac{CT}{CA}=\frac{TB}{TA}\)
(CA) × (TB) = (CT) × (TA)
Hence proved.
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given that f(x)= x^2-6x and g(x)= x-8 calculate f•g(-2)
9514 1404 393
Answer:
f•g(-2) = -160
Step-by-step explanation:
f(-2) = (-2)^2 -6(-2) = 4 + 12 = 16
g(-2) = -2 -8 = -10
f•g(-2) = f(-2)•g(-2) = 16•(-10)
f•g(-2) = -160
Answer:
hope this pic helps.enjoy
Is the following true or false? Why?
x < 8 is the same as 8 < x
Answer:
False.
Step-by-step explanation:
X can not be less than 8 and also greater than 8 and the same time.
Which value would complete the table to make the relationhip between the two quantitie proportional?
x 1 2 3 4 5
y 26. 8 53. 6 ? 107. 2 134
The value that would complete the table to make the relationship between the two quantity proportional is 4.
what is quantity proportional?When two quantities are proportional, their relationship is constant for all values and as one quantity rises, the other rises as well.
A proportional relationship exists between two quantities if they can be written in the general form y = kx, where k is the proportionality constant. In other words, the ratio between these amounts never changes. In other words, no matter which pair of the two numbers you divide, you always obtain the same number k.
The value that would complete the table to make the relationship between the two quantity proportional is 4.
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Translate the sentence into an equation.
Twice the difference of a number and 4 is 9.
The sentence "twice the difference of a number and 4 is 9" can be translated into 2(x-4) = 9 and the value of the number is 8.5.
Let's denote the unknown number as 'x'.
The difference of a number and 4 can be translated into (x - 4)
Therefore, twice the difference of a number and 4 can be translated into 2(x-4).
Now, as per the question:
Twice the difference of a number and 4 is 9. It can be translated into the equation:
2(x - 4) = 9
To find the value of the unknown number, let's solve the equation using the properties of algebra:
2(x-4) = 9
Distribute the terms:
2x - 8 = 9
Add 8 to both sides:
2x = 17
Divide 2 on both sides:
x = 8.5
The expression can be translated into 2(x-4) = 9 and the value of x is 8.5.
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The correct question is:-
Translate the sentence "Twice the difference of a number and 4 is 9" into an equation and find the value of the number.
Joanna plans to completely cover a large soup can, including the top and bottom, with black paper. The diameter of the can is 6 in. and the height is 5 in. Which is a reasonable estimate for the number of square inches of paper that Joanna will need to cover the can? Select one: O 151 square inches
O 141 square inches
O 101 square inches
O 1,319 square inches
Answer:
141 square incges
Step-by-step explanation:
Answer:
The answer is 141 sq inch.
Am smort :D
Graph the solution to this inequality on the number line.
−12≥−4p
Answer:
A closed circle on 3 going right.
Step-by-step explanation:
-12 ≥ -4p
/-4 /-4
3 ≤ p which also mean p ≥ 3
This will be a closed circle on 3 going right.
Hope that helps!
convert from vertex form to standard form... y= -(x-3)^2-8
Answer:
-x² + 6x - 17
Step-by-step explanation:
First, expand (x-3)² using FOIL
(x - 3)(x - 3)
= x² - 6x + 9
Distribute the negative sign to the expression:
-(x² - 6x + 9)
-x² + 6x - 9
Now, subtract 8 from this
-x² + 6x - 9
= -x² + 6x - 17
So, the equation in standard form is -x² + 6x - 17
The answer is.. x^2+6x-17