Answer:
45.9˚
Step-by-step explanation:
use trig formulas
23 and 16 correspond to the hyp and adj sides to angle x.
adj/hyp is cos so use the cos formula.
cos x = 16/23
arccos --> inverse cos
x = arccos(16/23)
put it in a calculatior and round to nearest 10th.
45.92079....
= 45.9˚
Answer:
Step-by-step explanation:
PLEASE answer what you can Thank you!
Answer:
1. Is one
2. 40 Degrees
3. x=45
Step-by-step explanation:
Explain in detail how would you plot the points -1, 5, -2.5, -3, and 2 on the number line. What is the order of the numbers?
PLEASE HELP!!
WILL GIVE BRAINLIEST
ANY WRONG ANSWERS OR LINKS WILL BE REPORTED!!!
Answer:
-3 -2.5 -1 2 5
Step-by-step explanation:
In order to do this you can look on a number line or you could look at the numbers carefully and the biggest number with a minus is what you start with and end it with a positive number.
im answering this is class and im completely stumped.
"Nancy is having a cookout with 14 invited guests. If each guest eats 2 hot dogs, how many packs does Nancy need to purchase? If she includes 2 chocolate cakes, what is the total of Nancy's items?"
(2 packs of 8 hot dogs for $5.00)
(One whole cake is $8.99)
1. The pack of items Nancy need to purchase is 28
2. The total of Nancy's items is $52.98
How many packs does Nancy need to purchase?From the question, we have the following parameters that can be used in our computation:
Number of guests = 14
Hot dogs = 2
So, we have
Purchase = 14 * 2
Evaluate
Purchase = 28
What is the total of Nancy's items?Here, we have
2 packs of 8 hot dogs for $5.00One whole cake is $8.99She includes 2 chocolate cakes
So, we have
Total = 28 * 2/8 * 5 + 2 * 8.99
Evaluate
Total = 52.98
Hence, the total of Nancy's items is $52.98
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I need to know the answer
Answer:
1 solution - 6
Step-by-step explanation:
add 9 on both sides
3x = 18
divide by 3 on both sides
x = 6
u can solve them using 3 solutions
-rewrite in standard form
-rewrite in implicit form
-graphing
What does ""99% confidence"" mean in a 99% confidence interval?
A "99% confidence" in a confidence interval means that we can be 99% confident that the true population parameter lies within the interval.
We have,
In a statistical context, "99% confidence" refers to the level of confidence associated with a confidence interval.
A 99% confidence interval means that if we were to repeat the sampling process many times and construct 99% confidence intervals for the population parameter of interest, approximately 99% of those intervals would contain the true population parameter.
In simpler terms, it means that we are 99% confident that the true value of the population parameter lies within the calculated confidence interval.
It provides a measure of the uncertainty associated with the estimation process and indicates the level of confidence we have in the accuracy of the interval estimate.
Thus,
A "99% confidence" in a confidence interval means that we can be 99% confident that the true population parameter lies within the interval.
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There is 20 million m3 of water in a lake at the beginning of a month. Rainfall in this month is a random variable with an average of 1 million mº and a standard deviation of 0.5 million mº. The monthly water flow entering the lake is also a random variable, with an average of 8 million mº and a standard deviation of 2 million mº. Average monthly evaporation is 3 million m3 and standard deviation is 1 million mº. 10 million m’ of water will be drawn from the lake this month. a Calculate the mean and standard deviation of the water volume in the lake at the end of the month. b Assuming that all random variables in the problem are normally distributed, calculate the probability that the end-of-month volume will remain greater than 18 million m3.
The probability that the end-of-month volume will remain greater than 18 million m³ is approximately 0.1922.
a)The mean water volume in the lake at the end of the month can be calculated using the formula given below:
Mean water volume = Starting water volume + Total rainfall + Total flow - Total evaporation - Water drawn from the lake
Given:
Starting water volume = 20 million m³
Total rainfall = random variable with mean = 1 million m³ and standard deviation = 0.5 million m³
Total flow = random variable with mean = 8 million m³ and standard deviation = 2 million m³
Total evaporation = 3 million m³
Water drawn from the lake = 10 million m³
Now, let's calculate the mean water volume at the end of the month.
Mean water volume = Starting water volume + Total rainfall + Total flow - Total evaporation - Water drawn from the lake= 20 + 1 + 8 - 3 - 10= 16 million m³
Therefore, the mean water volume at the end of the month is 16 million m³.
The standard deviation of the water volume in the lake at the end of the month can be calculated using the formula given below:
σ = √{σr² + σf² + σe²}
σr = standard deviation of rainfall = 0.5 million m³
σf = standard deviation of flow = 2 million m³
σe = standard deviation of evaporation = 1 million m³σ = √{σr² + σf² + σe²}σ = √{0.5² + 2² + 1²}= √{5.25}≈ 2.29 million m³
Therefore, the standard deviation of the water volume in the lake at the end of the month is approximately 2.29 million m³.b)Given that all the random variables in the problem are normally distributed, we can find the probability that the end-of-month volume will remain greater than 18 million m³ using the z-score formula.
z = (x - μ) / σ
Where,
z = z-scorex = 18 μ = 16σ = 2.29
Now, let's calculate the z-score.
z = (x - μ) / σ= (18 - 16) / 2.29= 0.87
Using the z-table, we can find that the probability of z being less than 0.87 is 0.8078.
Therefore, the probability of the end-of-month volume being greater than 18 million m³ is:
1 - 0.8078 = 0.1922 (rounded to 4 decimal places)
Hence, the probability that the end-of-month volume will remain greater than 18 million m³ is approximately 0.1922.
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A length of rope measures 5 yards. Kari would like to cut it into equal portions 2/5 of A yard long. how many pieces will Kari be able to cut from the rope
if i won 10 games out of 16, how many games would i need to paly to win 50
Answer:
19
Step-by-step explanation:
Find the surface area of the composite solid.
The surface area of the composite figure is S = 399.6 m²
Given data ,
Let the surface area of the composite figure be S
Now , the area of the base of the figure is B
B = ( 1/2 ) x 8 x 6.9
B = 27.6 m²
Let the three rectangular shapes be R
Now , the value of R = 3 ( 12 x 8 )
R = 288 m²
And , the area of the three triangular top of the composite figure be T
T = 3 ( 1/2 ) x ( 7 x 8 )
T = 84 m²
Therefore , the total surface area S = B + R + T
S = 27.6 + 288 + 84
S = 399.6 m²
Hence , the surface area is S = 399.6 m²
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If A FGH A JKL
then FG
[?]
Enter the letters that belong in the
green box.
Enter
Answer:
JK
Step-by-step explanation:
Since the triangles are congruent then corresponding sides are congruent
Δ FGH ≅ Δ JKL
The corresponding sides are FG and JK
I Need Help With This Question
Answer:
Step-by-step explanation:
Dont do it. Just take the detention
20 points and brainliest answer. Don’t give wrong answers. :)
Answer:
i is d i think so
Step-by-step explanation:
Answer:
it is A area of trapezoid = 1/2 × h( base1+base2) so it is 1/2× 8×(13+19)
Do the ordered pairs below represent a relation, a function, both a relation and a function, or neither a relation nor a function?
(-1,-7) , (3,-11) , (-1,-13) , (8,-16)
Answer:
yes
Step-by-step explanation:
Please solve this and show the steps on how you got your answer
well, let's take a look at the tickmarks on the triangle, the tickmarks mean that AC = CB, both AC and CB stemming out of vertex C, and both twin sides will make twin angles at the "base" or namely ∡A = ∡B, that means that 34 = x - 5, let's also recall that the sum of all interior angles in a triangle is 180°, so
\(34=x-5\implies \boxed{39=x} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\measuredangle A}{34}~~ + ~~\stackrel{\measuredangle B}{34}~~ + ~~\stackrel{\measuredangle C}{4y}~~ = ~~180\implies 68+4y=180 \\\\\\ 4y=112\implies y=\cfrac{112}{4}\implies \boxed{y=28}\)
Answer:
y = 28
Step-by-step explanation:
The dashes on line segments AC and BC indicate that the line segments are equal in length.
Therefore, as the triangle has two sides of equal length, it is an isosceles triangle.
The base angles of an isosceles triangle are equal, therefore ∠A = ∠B.
Interior angles of a triangle sum to 180°.
Therefore:
⇒ ∠A + ∠B + ∠C = 180°
⇒ 34° + 34° + 4y° = 180°
⇒ 68° + 4y° = 180°
⇒ 4y° = 112°
⇒ y = 112° ÷ 4°
⇒ y = 28
My bank account started the day with $550 in it. During the day, I made 2
deposits of $125 each and I wrote 1 check for $60. How much is in my account at
the end of the day?
Answer:
$740
Step-by-step explanation:
550 + 2(125) -60 =
550 + 250 - 60
800 - 60 = 740
$740
Answer: 740$
Step-by-step explanation:
125x2= 250, 250-60= 190, 550+190= 740
How many marks will be deducted if you write the wrong answer but the calculation is correct (4marks)
Answer:
The policy on deducting marks for a wrong answer but correct calculation may vary depending on the instructor or institution. In some cases, partial credit may be given for showing the correct method or steps, but arriving at the wrong final answer. In other cases, there may be no partial credit and the answer is either correct or incorrect. It's best to check with your instructor or refer to the grading policy of your institution for specific guidelines on how they grade exams or assignments.
How can you decompose the composite figure to determine its area? as a circle, three rectangles, and a triangle as a circle, a trapezoid, and four triangles as a semicircle, three rectangles, and a square as a semicircle, a trapezoid, and two rectangles.
Answer:
The best way to decompose the composite figure to determine its area is as a semicircle, a trapezoid, and two rectangles. This way, we can use the following formulas to find the area of each part:
Area of a semicircle = 21πr2, where r is the radius of the circle.
Area of a trapezoid = 21(b1+b2)h, where b1 and b2 are the bases and h is the height of the trapezoid.
Area of a rectangle = l×w, where l is the length and w is the width of the rectangle.
Then, we can add up the areas of each part to find the total area of the composite figure. The other options are not as convenient because they either involve more parts or more complicated shapes. For example, option A would require finding the area of a triangle, which involves using trigonometry or the Pythagorean theorem. Option B would require finding the area of four triangles, which is more tedious than finding the area of two rectangles. Option C would require finding the area of a square, which is redundant because a square is a special case of a rectangle.
Step-by-step explanation:
The composite figure can be decomposed into a semicircle, a trapezoid, and two rectangles.
Option D is the correct answer.
What is a trapezium?It is a quadrilateral that has one pair of parallel sides and a height.
The area is calculated as: 1/2 x sum of the parallel sides x height.
Examples:
Area of a trapezium that has the parallel sides as 3 cm and 4 cm and a heght o 5 cm.
Area = 1/2 x (3 + 4) x 5
Area = 1/2 x 7 x 5
Area = 35/2 = 17.5 cm^2
We have,
The given figure can be decomposed into the following figure.
- Semicircle
- Trapezoid
- Two rectangles
Thus,
A semicircle, a trapezoid, and two rectangles.
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Complete the table to show the coordinates of the vertices of A’B’C’
The coordinates of the vertices of A’B’C’ are A' = (1, 3), B' = (3, 4) and C' = (4, 1)
From the question, we have the following parameters that can be used in our computation:
The graph
The coordinates of the vertices of A’B’C’ are the coordinates of the locations of the the vertices A', B' and C'
Using the above as a guide, we have the following:
From the graph, we have the coordinates of the vertices of A’B’C’ to be
A' = (1, 3)
B' = (3, 4)
C' = (4, 1)
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Help me with this, it’s due in a bit!
Answer:
64 square centimeters
Step-by-step explanation:
The surface are of a pyramid is found by finding the sum of the area of the four sides and the base.
Finding the triangular face:
Area of triangle = \(\frac{1}{2} b h\) = \(\frac{1}{2}*4*6 = 12\)
12 * 4 (4 sides) = 48 square cm
Finding the Base = \(w * l = 4 * 4 = 16\)
Finally, we add it together. 48 + 16 = 64
help with my geometry please
Answer:
x = 11
z = 86
Step-by-step explanation:
8x + 6 and 10x-16 are vertical angles
Vertical angles are pairs of angles that are opposite each other and have the same vertex, or point of intersection. They are formed when two lines intersect at a point, and are always congruent, or of equal measure.
To solve this equation, we need to isolate the variable x on one side of the equation. To do this, we can start by subtracting 6 from both sides of the equation:
8x + 6 - 6 = 10x - 16 - 6
8x = 10x - 22
Now we can subtract 8x from both sides of the equation:
8x - 8x = 10x - 22 - 8x
0 = 2x - 22
To solve for x, we can add 22 to both sides of the equation:
0 + 22 = 2x - 22 + 22
22 = 2x
Finally, we can divide both sides of the equation by 2 to find the value of x: 22 / 2 = 2x / 2
x = 11
Therefore, the solution to the equation is x = 11.
Now that we have x, z is a supplementary angle to 8x + 6 (or you could do 10x - 16)
Supplementary angles are pairs of angles that add up to 180 degrees. They are formed when two lines intersect at a point, and the angles formed at the intersection are supplementary.
First plug in x, 8x + 6 = 8(11) + 6 = 88 + 6 = 94
180 - 94 = z
z = 86
Which of the following are parallel to
y = 3x – 2
(Choose all that apply)
y = 5 – 3x
Y= 3x
y = 3x – 1
y = 3x – 4
y = -3x
Answer:
y=3x-1,y=3x-4
Step-by-step explanation:
y=mx+c
where is gradient, parallel lines have same gradient
y=5-3x
=-3x+5
m=-3
y=-3x
m=-3
y=3x-1
m=3 ,the gradient is equal to the original equation
y=3x-4
m=3,the gradient also equal to the given equation
2x-10+2x-5=3x+1
Find X
Seriously I can't with Algebra
Answer:
x=16
Step-by-step explanation:
Starting equation:
2x-10+2x-5=3x+1
First combine all like terms on the left side
4x-15=3x+1
Now subtract 3x from both sides so that x is only on the left
x-15=1
Finally add 15 to both sides to isolate your variable
x=16
Answer:
x = 16Step-by-step explanation:
2x-10+2x-5=3x+1
Find X
2x - 10 + 2x - 5 = 3x + 1 combine similar terms
2x + 2x - 3x = 10 + 5 + 1 simplify
x = 16
Yall I need help only have 22 minutes left
Answer:
\(\frac{1}{r^{42} }\)
Step-by-step explanation:
I need a answer fast thanks!
Answer:
Chart:
x y
-6 11
3 5
15 -3
-12 15
Step-by-step explanation:
The only things you can plug in are the domain {-12, -6, 3, 15}
Plug in the domain into equation to find y.
-6 :
y = -2/3 (-6) +7
y = +47
y=11
(-6,11)
3:
y = -2/3 (3) +7
y = -2 +7
y = 5
(3, 5)
15:
y = -2/3 (15) +7
y = -10 +7
y = -3
(15 , -3)
-12:
y = -2/3 (-12) +7
y = 8 + 7
y= 15
(-12,15)
Answer:
1) 11
2) 3
3) -3
4) -12
Step-by-step explanation:
eq(1):
\(y = \frac{-2}{3} x + 7\\\\y - 7 = \frac{-2}{3} x\\\\x = (y - 7)\frac{-3}{2} \\\\x = (7-y)\frac{3}{2} ---eq(2)\)
1) x = -6
sub in eq(1)
\(y = \frac{-2}{3} (-6) + 7\\\\y = \frac{12}{3} + 7\\\\y = 4+7\\\\y = 11\)
2) y = 5
sub in eq(2)
\(x = (7-5)\frac{3}{2} \\\\x = 3\)
3) x = 15
sub in eq(1)
\(y = \frac{-2}{3} 15 + 7\\\\y = \frac{-30}{3} +7\\\\y = -10 + 7\\\\y = -3\)
4)
sub in eq(2)
\(x = (7-15)\frac{3}{2} \\\\x = -8\frac{3}{2}\\ \\x = -12\)
justify your reasons by determining the postulates, definitions, theorems, and properties used
By alternating internal angles, angles 1 and 2 are equivalent.
What does the triangle's angle sum property entail?
According to the triangle's "angle sum property," the inner angles of a triangle add up to 180 degrees.
1. Angles 1 and 2 complement one another. Angles 2 and 3 compliment one another.
These angles are linear, hence their sum is 180 degrees.
2.m angle
Angle 1 + m2 Equals 90° Angle m2 + m3 = 90°
Equals makes a straight angle
3. m angle1 plus m angle2 equals m angle2 plus m angle3
= 180 degrees when the total of the two sides
4. m angle2 equals m angle
= The total of the two sides is equal
5. m angle1 = m angle3
= The total of the two sides is equal
6.Angle1 and Angle3 are congruent.
Alternate interior angles are what they are.
Angle 1 and Angle 3 are therefore equivalent based on the triangle's characteristics.
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7) the following sensitivity report for a maximization problem is given. cell name final reduced objective allowable allowable value cost coefficien t increase decrease $b$13 a 9 0 7 1e 30 1.25 $c$13 b 0 -2 2 2 1e 30 $d$13 c 1 0 4 4 .33 a. what are the optimal solution and the optimal value of the objective function, state the objective function as well? b. how does optimal objective value change if we increase the final/optimal value of variable b (from 0) to 1?
The optimal solution is a=9, b=0, c=1, and the optimal value of the objective function is 11.92. If we increase the final value of variable b from 0 to 1, the optimal objective value increases from 11.92 to 13.25.
From the report, we see that the final value of variable a is 9, the final value of variable b is 0, and the final value of variable c is 1. The reduced cost of variable a is 0, the reduced cost of variable b is -2, and the reduced cost of variable c is 0. This means that variable b is not at its lower bound and has a negative reduced cost, so it is a non-basic variable that can be increased to improve the objective function value.
The objective function is not explicitly given in the report, but we can infer it from the coefficients of the decision variables. The coefficient of variable a is 1.25, the coefficient of variable b is 0, and the coefficient of variable c is 0.33. Therefore, the objective function is
Maximize 1.25a + 0b + 0.33c
To find the optimal value of the objective function, substitute the final values of the decision variables into the objective function
1.25(9) + 0(0) + 0.33(1) = 11.92
From the report, we see that the allowable increase in the coefficient of variable b is 2. This means that we can increase the coefficient of variable b by up to 2 and still have the same optimal solution.
If we increase the final value of variable b from 0 to 1, we are effectively increasing the coefficient of variable b by 1. Therefore, the new objective function is
Maximize 1.25a + 1(1) + 0.33c
We can substitute the final values of the decision variables into the new objective function
1.25(9) + 1(1) + 0.33(1) = 13.25
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Need the answer to the problem below.
((4 * 7) ^ 7) ^ 4 =
Answer:
Here is your answer
((4 * 7) ^ 7) ^ 4 =
(28 ^ 7) ^ 4 =
13492928512 ^ 4 = 33145523113253374862572728253364605812736
Step-by-step explanation:
It started snowing at fourteen minutes to eleven in the morning. The snow stopped falling at five to midnight. How long did it snow?
Answer:
13 hours and 9 minutes
Step-by-step explanation:
Answer:
If I'm correct it should be 13 hr with an additional 9 min.
Step-by-step explanation:
Sandra is 1.8 m tall. She stood 0.9 m from the base of the mirror and could see the top of
the cliff in the mirror. The base of the mirror is 5.4 m from the base of the cliff. What is
the height of the cliff?
The cliff rises 10.8 metres in height.
To determine the height of the cliff, we can use similar triangles and apply the concept of proportions.
Let's denote the height of the cliff as "h."
According to the given information, Sandra is 1.8 m tall and stands 0.9 m from the base of the mirror. The distance between the base of the mirror and the base of the cliff is 5.4 m.
We can form a proportion based on the similar triangles formed by Sandra, the mirror, and the cliff:
(Height of Sandra) / (Distance from Sandra to Mirror) = (Height of Cliff) / (Distance from Mirror to Cliff)
Plugging in the values we know:
1.8 m / 0.9 m = h / 5.4 m
Simplifying the equation:
2 = h / 5.4
To solve for h, we can multiply both sides of the equation by 5.4:
2 * 5.4 = h
10.8 = h
Therefore, the height of the cliff is 10.8 meters.
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discuss any two advantages of superposition theorem
compared to other circuit theorms
The advantages of the superposition theorem compared to other circuit theorems are its simplicity and modularity in circuit analysis, as well as its applicability to linear circuits.
Superposition theorem is a powerful tool in circuit analysis that allows us to simplify complex circuits and analyze them in a more systematic manner. When compared to other circuit theorems, such as Ohm's Law or Kirchhoff's laws, the superposition theorem offers several advantages. Here are two key advantages of the superposition theorem:
Simplicity and Modularity: One major advantage of the superposition theorem is its simplicity and modular approach to circuit analysis. The theorem states that in a linear circuit with multiple independent sources, the response (current or voltage) across any component can be determined by considering each source individually while the other sources are turned off. This approach allows us to break down complex circuits into simpler sub-circuits and analyze them independently. By solving these individual sub-circuits and then superposing the results, we can determine the overall response of the circuit. This modular nature of the superposition theorem simplifies the analysis process, making it easier to understand and apply.
Applicability to Linear Circuits: Another advantage of the superposition theorem is its applicability to linear circuits. The theorem holds true for circuits that follow the principles of linearity, which means that the circuit components (resistors, capacitors, inductors, etc.) behave proportionally to the applied voltage or current. Linearity is a fundamental characteristic of many practical circuits, making the superposition theorem widely applicable in real-world scenarios. This advantage distinguishes the superposition theorem from other circuit theorems that may have limitations or restrictions on their application, depending on the circuit's characteristics.
It's important to note that the superposition theorem has its limitations as well. It assumes linearity and works only with independent sources, neglecting any nonlinear or dependent sources present in the circuit. Additionally, the superposition theorem can become time-consuming when dealing with a large number of sources. Despite these limitations, the advantages of simplicity and applicability to linear circuits make the superposition theorem a valuable tool in circuit analysis.
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