Find the length of GI in the triangle below. Please explain how you got the answer if possible because I'm super confused, thanks!!
Answer:
90
Step-by-step explanation:
From the question given above, the following data were obtained:
Length GH = i = 60
Lenght HI = g = 42
Angle H = 123°
Length (GI) = h =?
Thus the length GI (i.e h) can be obtained by using the cosine rule formula as shown below:
h² = i² + g² – 2ig Cos H
h² = 60² + 42² – 2 × 60 × 42 × Cos 123
h² = 3600 + 1764 – (5040 × –0.5446)
h² = 5364 – (–2744.784)
h² = 5364 + 2744.784
h² = 8108.784
Take the square root of both side
h = √8108.784
h = 90
Thus, the Lenght of GI is 90
Which expression is always equivalent to sin x when 0° < x < 90°?
(1) cos (90°- x)
(3) cos (2x)
(2) cos (45° - x)
(4) cos x
The expression that is always equivalent to sin x when 0° < x < 90° is (1) cos (90° - x). Option 1
To understand why, let's analyze the trigonometric functions involved. In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. Since we are considering angles between 0° and 90°, we can guarantee that the side opposite the angle will always be the shortest side of the triangle, and the hypotenuse will be the longest side.
Now let's examine the expression cos (90° - x). The cosine of an angle is defined as the ratio of the length of the side adjacent to the angle to the length of the hypotenuse. In a right triangle, when we subtract an angle x from 90°, we are left with the complementary angle to x. This means that the remaining angle in the triangle is 90° - x.
Since the side adjacent to the angle 90° - x is the same as the side opposite the angle x, and the hypotenuse is the same, the ratio of the adjacent side to the hypotenuse remains the same. Therefore, cos (90° - x) is equivalent to sin x for angles between 0° and 90°.
On the other hand, options (2) cos (45° - x) and (3) cos (2x) do not always yield the same value as sin x for all angles between 0° and 90°. The expression cos x (option 4) is equivalent to sin (90° - x), not sin x.
Option 1 is correct.
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what is 1(0b+10a) ???????????????????
Answer:
10b+10a
Step-by-step explanation:
Answer:
The answer is 10a
Step-by-step explanation:
(1)(0b+10a)
=(1)(0b)+(1)(10a)
=0+10a
=10a
Hope this helps :)
The ratio of dogs the cats is 3:5 is there a 30 cats how many dogs with there be
Answer:
15
Step-by-step explanation: since i helped can i have brainlist please :D
Find the domain of the function h(t)=4-t^2\2-t
Step-by-step explanation:
(4-t)(4-t)/2-t
t^2-8t+16/2-t
the domain is all real number without 2
M Question 2 Unit 7 Chapter 10 %
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Account for 63859...Pay your trash bills...
Unit 7 Chapter 10 Quiz
2
Imported from inte...
Wait time
Inspection time
Process time
Seved
New folder
Imported from inte....
17 days
13 days
23 days
22 days
12 days
Navern Corporation manufactures and sells custom home elevators. From the time an order is
placed until the time the elevator is installed in the customer's home averages 87 days. This 87
days is spent as follows:
Help
Move time
Queue time
What is Navern's manufacturing cycle efficiency (MCE) for its elevators?
Seve & Exit
Su
Navern's manufacturing cycle efficiency (MCE) for its elevators is: 41.4%
How to solve the manufacturing cycle efficiencyThe formula for obtaining the manufacturing cycle efficiency is value-added time divided by the production cycle time * 100. In the data given, the process and inspection times qualify as a value-added time
Process time = 23 days
Inspection time = 13 days
Value added time = 23 + 13 = 36days
The production cycle time = Move time + process time + queue time + inspection time + wait time
= 22 + 12 + 23 + 13 + 17 days
= 87 days
So, the manufacturing efficiency time = 36/87 * 100
= 41.4%
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Multiply.
−3.9(−5.6)(3)
The product is
Answer:
65.52
Step-by-step explanation:
−3.9×−5.6×3
Multiply −3.9 and −5.6 to get 21.84.
21.84×3
Multiply 21.84 and 3 to get 65.52.
65.52
Bashir has a loyalty card good for a 10% discount at his local hardware store. What would his total in dollars and cents be, after the discount and before tax, if the total cost of all the items he wants to buy is $11? Round to the nearest cent.
The total cost of all the items he wants to buy with the applied discount and before tax is $9.9.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Bashir has a loyalty card good for a 10% discount at his local hardware store.
So, Each good he buys at (100 - 10)% = 90% of the value before tax.
He wants to buy some items that cost $11 before the discount and tax.
Therefore the amount he has to pay is,
= (90/100)×11.
= $9.9
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For Mean = 73.19, Mode = 79.56 and Variance = 16, the Karl Pearson's Coefficient of Skewness will be -0.0256 -1.64 0.0256 0
Answer:
To calculate Karl Pearson's coefficient of skewness, we need to use the formula:
Skewness = 3 * (Mean - Mode) / Standard Deviation
Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.
Standard Deviation = √Variance = √16 = 4
Now we can substitute the values into the formula:
Skewness = 3 * (73.19 - 79.56) / 4
Skewness = -6.37 / 4
Skewness = -1.5925
Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.
The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 4 minutes. Round yours answers to 4 decimal places. (a) What is the probability that more than three customers arrive in 10 minutes
Answer:
0.7788 = 77.88% probability that more than three customers arrive in 10 minutes
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
\(f(x) = \mu e^{-\mu x}\)
In which \(\mu = \frac{1}{m}\) is the decay parameter.
The probability that x is lower or equal to a is given by:
\(P(X \leq x) = \int\limits^a_0 {f(x)} \, dx\)
Which has the following solution:
\(P(X \leq x) = 1 - e^{-\mu x}\)
The probability of finding a value higher than x is:
\(P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}\)
In this question, we have that:
The time between arrivals of customers at an automatic teller machine is an exponential random variable with a mean of 4 minutes, and we have three customers, which means that \(m = 3*4 = 12, \mu = \frac{1}{12} = 0.0833\)
(a) What is the probability that more than three customers arrive in 10 minutes
This is P(X > 3). So
\(P(X > 3) = e^{-0.0833*3} = 0.7788\)
0.7788 = 77.88% probability that more than three customers arrive in 10 minutes
is 1.0227… a rational number
Answer:
yes
Step-by-step explanation:
The decimal 1.0227 is a rational number. First of all, it is a terminating decimal, which means that the decimal has a definite ending point.
Answer: Yes; it is a rational number.
__________________________________________
Step-by-step explanation:
__________________________________________
An irrational number, by definition, has "non-terminating, non-repeated decimal".
This number given has a "non-terminating decimal" that "is repeating"; so, instead of being an "irrational number", it is a "rational number."
__________________________________________
Hope this helps!
__________________________________________
Write a positive or negative and Integer that represents the situation. You earn 15 raking leaves.
Answer:
A positive 15
Step-by-step explanation:
The key word earn tells us he's gaining.
what a subcategory of a polygon
Three or more line segments that only intersect at their ends form closed, two-dimensional shapes known as polygons.
What is a polygon?A polygon is a closed, two-dimensional shape with straight sides that is flat or plane. It has straight sides. Polygons are a different category that belongs to the category of two-dimensional figures because two-dimensional (2D) figures are flat because they lack volume.
Polygons are flat 2D shapes that have straight lines and all lines are closed, meaning that they don't have any disconnected lines. Polygons are a subcategory of 2D figures because they carry all traits of 2D figures but also have special ones of their own. Examples of polygons are squares, rectangles, and triangles. Examples of nonpolygons but still are 2D figures are circles, ovals, and any other flat shape.
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Complete question
How can polygons be considered a subcategory of two-dimensional figures?
Find Y (pic attached) (i’ll mark brainliest)
Answer:
4y - 4 = 60
4y = 64
Y = 16
Answer is B
I get 60 as it is a equilateral triangle.
Thank you and please rate me as brainliest as it will help me to level up
CAN SOMEONE HELP THIS IS DUE IN HOURS
Answer:
-2 cannot be an answer in the context of this question
Step-by-step explanation:
Because the shapes are physical objects, they can NOT have a negative answer as the area. If just the rectangle had -2 as a solution, it would still be viable since the end result would still be positive but since x is also the measure of the square, it is not viable. It is not possible, in this context, to have a negative solution because its a shape's area.
Write an equation in Standard Form. A store sells t-shirts for $12 each and
sweatshirts for $15 each. You plan to spend $120 on t-shirts and sweatshirts.
Answer:
12x + 15y = 120
Step-by-step explanation:
x= t shirts
y= sweatshirts
x+y=total
12x + 15y = 120
(I got this question on a quiz and I got it right!)
I hope this helps!
The equation 12x + 15y = 120 represents the total number of t-shirts and sweatshirts bought if spend $120
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
The price for t-shirts = $12 each
The price for the sweatshirt = $15 each
Let's suppose x number of t-shirts and y number of sweatshirts bought.
Then,
12x + 15y = 120
The equation represents the total number of t-shirts and sweatshirts bought if spend $120
Thus, the equation 12x + 15y = 120 represents the total number of t-shirts and sweatshirts bought if spend $120
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1. The circumference of a circle is 16p centimeters.
(a) Find the diameter of the circle.
(b) Find the area of the circle.
Answer: Diameter: 8
Area: 201.1
Step-by-step explanation:
Diameter: Use the formula for the area of a circle:
Use the formula for the area of a circle:
A=πr2
Here, the area is 16π:
16π=πr^2
Divide both sides by π:
16=r^2
Take the square root of both sides: √16=√r^2
4=r
Since the radius of the circle is 4, the diameter is twice that:
d=4×2=8
Area:
Formula:
A = π r^2
A= Area R= Radius
Add Radius
A= π 8^2
Solve:
Simplify π⋅8^2
Exact Form:
A=64π
Decimal Form:
A=201.06192982
HELPPP ASPPO!!
4x -y=6
-4x +y =8
which statement correctly describes the system of equations
The equation system is appropriately described by the formula 4x - y=6.A mathematical formula known as an equation combines two assertions .
what is equations ?A mathematical formula known as an equation combines two assertions using the equal sign (=) to denote equivalence. The terms 3x + 5 and 14 are separated by an equal sign in the equation 3x + 5 = 14, for example. Mathematical equations are used to express the relationship between two phrases on either side of a letter. In most cases, the symbol serves as the sole variable. a good example is 2x - 4 = 2.
given
Graphing, substitution, and elimination are the three techniques used to solve systems of equations.
By graphing the given equations, you can easily solve a system by finding the point(s) where they all cross.
The values of the variables you are solving for will be provided by the coordinate of this point.
The equation system is appropriately described by the formula 4x - y=6.
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Why is the answer e and not c?
Step-by-step explanation:
π ∫₀¹ x² dx
This integral is obtained using disk method. Each disk has a volume of V = πr²t, so the radius is r = x.
The region is 0 ≤ y ≤ x, 0 ≤ x ≤ 1.
Revolved around the x-axis, the resulting shape is a cone.
If the shape were a paraboloid, the integral would have been:
π ∫₀¹ (x²)² dx
π ∫₀¹ x⁴ dx
Ms. Dawson's call did a science experiment. The class started out with 635 bacteria cells. The growth rate
predicted was 5.15%. Sketch the graph that represents the situation. Label the y-intercept and the point that
represents the projected bacteria population 23 h from the start of the experiment. Be sure to show your work
on how you obtained your second value. Round to the nearest whole number.
The exponential function obtained from the table is represented by the formula y is 650(1.045)x.
Exponential operation?A function with the exponential shape is:
y = abˣ
where an is y's initial value, b are multipliers, and y and x are variables.
The bacterial population at x hours should be represented by y.
With 650 bacteria cells at the beginning, the group.
a = 650
4.5% is the growth rate.
b = 100% + 4.5% = 104.5% = 1.045
The exponential function obtained from the table is represented by the formula y = 650(1.045)x.
The exponential function obtained from the table is represented by the formula y is 650(1.045)x.
Thirty hours later:
y = 650(1.045)³⁰ = 2434.
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Find the value of y for the given value of x.
y=2−9x;x=2/3
Answer:
-4
Step-by-step explanation:
y=2-9×(2/3)=2-6= -4
it takes brian 2/3 of hour to wash his dog sport. if he washes him once a week how many hours will brian spend washing sport over 4 weeks
Answer:
2 2/3 hours.
Step-by-step explanation:
If her washs once a week, he will wash 4 times in 4 weeks.
2/3 * 4 = 8/3
2 2/3.
Kai and Finley were studying together for their exams the
following day. They had planned to spend the entire two days
after the exams hiking to a log cabin on the Winslow trail. The trail
was closed on Mondays, Wednesdays, and weekends.
On which day of the week was their exam scheduled?
Their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.
How to determine which day of the week was their exam scheduledTo determine the day of the week on which Kai and Finley's exam was scheduled, we need to consider the information provided about the trail being closed on Mondays, Wednesdays, and weekends.
If they had planned to hike to the log cabin for two days after the exams, and the trail is closed on weekends, it means they cannot start hiking on Saturday or Sunday.
Since they cannot start hiking on Saturday or Sunday, the two possible options for the exam day would be Monday or Wednesday, as they have not specified whether the hike starts immediately after the exams or the day after.
However, we can conclude that their exam was not scheduled on Monday, as the trail is closed on Mondays, and they had planned to hike immediately after the exams.
Therefore, their exam must have been scheduled on Wednesday, allowing them to start hiking on Thursday after the exams.
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HELP ME OUT PLEASE!!!!!!!!
The image shows the linear graph for a family that hired a babysitter for a day. The farnily gave the babysitter some money up front to buy herself some lunch, and then paid her a constant hourly rate for the hours she worked.
Click the thumbnail image to see the full size image.
Which 2 of the following statements are TRUE about predicting WHAT HAPPENS AT 6 HOURS of babysitting? Select the TWO statements that are accurate.
A. At 6 hours, the total cost for babysitting will be $60.
B. I can predict the total cost at 6 hours by starting at the point at hour 5 and counting the RISE/RUN to move to the point at hour 6.
C. I can predict the total cost at 6 hours by starting at the point at hour 5 and counting the RUN/RISE to move to the point at hour 6.
D. At 6 hours, the total cost for babysitting will be $70.
Answer:
Step-by-step explanation:
B. I can predict the total cost at 6 hours by starting at the point at hour 5 and counting the RISE/RUN to move to the point at hour 6.
and
D. At 6 hours, the total cost for babysitting will be $70.
The cost of sending an overnight package from Kansas City to Miami is $23.50 for a package weighing up to but not including 1
Answer:
what is the question?
Step-by-step explanation:
The meaning of the coefficient 3.80 in the context of the problem is,
For every pound that the package weight increases, the price of sending it increases by $3.80.
What is mean by expression?The Mathematical expression is defined as the collection of the numbers and variables and functions by using operations like addition, subtraction, multiplication, and division.
Here, We have;
The cost of sending an overnight package from Kansas City to Miami is $23.50 for a package weighing up to but not including 1 pound, and $3.80 for each additional pound or portion of a pound.
And, A model for the total cost C in dollars) of sending the package is,
⇒ C = 23.50 + 3.80x, x > 0,
where x is the weight (in pounds).
Hence, We can formulate;
Overnight from KC to Miami = $23.50 for anything less than a pound + $3.80 per additional pound.
This means that for every pound that the package weight increases, the price of sending it increases by $3.80.
Thus, The meaning of the coefficient 3.80 in the context of the problem is,
For every pound that the package weight increases, the price of sending it increases by $3.80.
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Complete question;The cost of sending an overnight package from Kansas City to Miami is $23.50 for a package weighing up to but not
including 1 pound, and $3.80 for each additional pound or portion of a pound. A model for the total cost C in dollars) of
sending the package is C = 23.50 + 3.80Lx), x > 0, where x is the weight (in pounds).
What is the meaning of the coefficient 3.80 in the context of the problem?
O When the package weighs less than one pound, the price of the package is $3.80.
O For every pound that the package weight increases, the price of sending it increases by $3.80.
O For every pound that the package weight increases, the price of sending it increases by $23.50.
When the package weighs less than one pound, the price of the package is $23.50.
Will is at a short sale where he can buy one and get the second one for 40 percent off. He wants to buy two shirts priced at $29 each. How much will he pay?
Will paid $46.4 for the two shirts, with 40% discount on the other.
Define the meaning of the term discount?Discount is the subtraction from the selling price of the products. Two categories of discounts exist: Discount for trade: One technique to offer a discount is to offer to deduct a predetermined percentage of the list price when the products are sold. A trade discount is what one may refer to as.As per the stated question-
The list price of two shorts = $29 each.
Discount percentage 40%.
The formula for the calculation of the price after discount is-
Discounted cost = (2 × list price) – (list price × discount percentage)
Put the values.
Discounted cost = (2 × 29) – (29 × 40/100)
Discounted cost = 58 - 11.6
Discounted cost = 46.4
Thus, Will paid $46.4 for the two shirts, with 40% discount on the other.
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Find the slope of the tangent line to the curve defined by 4x2+5xy+y4=370
at the point (−9,−1)
Answer:
The slope of the tangent line to the curve at the given point is -11/7.
Step-by-step explanation:
Differentiation is an algebraic process that finds the gradient (slope) of a curve. At a point, the gradient of a curve is the same as the gradient of the tangent line to the curve at that point.
Given function:
\(4x^2+5xy+y^4=370\)
To differentiate an equation that contains a mixture of x and y terms, use implicit differentiation.
Begin by placing d/dx in front of each term of the equation:
\(\dfrac{\text{d}}{\text{d}x}4x^2+\dfrac{\text{d}}{\text{d}x}5xy+\dfrac{\text{d}}{\text{d}x}y^4=\dfrac{\text{d}}{\text{d}x}370\)
Differentiate the terms in x only (and constant terms):
\(\implies 8x+\dfrac{\text{d}}{\text{d}x}5xy+\dfrac{\text{d}}{\text{d}x}y^4=0\)
Use the chain rule to differentiate terms in y only. In practice, this means differentiate with respect to y, and place dy/dx at the end:
\(\implies 8x+\dfrac{\text{d}}{\text{d}x}5xy+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)
Use the product rule to differentiate terms in both x and y.
\(\boxed{\dfrac{\text{d}}{\text{d}x}u(x)v(y)=u(x)\dfrac{\text{d}}{\text{d}x}v(y)+v(y)\dfrac{\text{d}}{\text{d}x}u(x)}\)
\(\implies 8x+\left(5x\dfrac{\text{d}}{\text{d}x}y+y\dfrac{\text{d}}{\text{d}x}5x\right)+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)
\(\implies 8x+5x\dfrac{\text{d}y}{\text{d}x}+5y+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)
Rearrange the resulting equation in x, y and dy/dx to make dy/dx the subject:
\(\implies 5x\dfrac{\text{d}y}{\text{d}x}+4y^3\dfrac{\text{d}y}{\text{d}x}=-8x-5y\)
\(\implies \dfrac{\text{d}y}{\text{d}x}(5x+4y^3)=-8x-5y\)
\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{-8x-5y}{5x+4y^3}\)
To find the slope of the tangent line at the point (-9, -1), substitute x = -9 and y = -1 into the differentiated equation:
\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{-8(-9)-5(-1)}{5(-9)+4(-1)^3}\)
\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{72+5}{-45-4}\)
\(\implies \dfrac{\text{d}y}{\text{d}x}=-\dfrac{77}{49}\)
\(\implies \dfrac{\text{d}y}{\text{d}x}=-\dfrac{11}{7}\)
Therefore, slope of the tangent line to the curve at the given point is -11/7.
Tim worked to earn $63.00. if he earns $9.00 and hour, how many hours did Tim work? 5
Blank 1:
Answer:
tim worked 7 hours
Step-by-step explanation:
givr branliest pls
Answer:
7 hours.
Step-by-step explanation:
subtract 9.00 from 63.00 till there is 0.00
Solve for x and y
−8x+4y=24
−7x+7y=28
Answer: (-2, 2)
Step-by-step explanation: Multiply for LCMs, then subract. You can also use substitution method.
Please help meeee
Find the value of d.
A. 47
B. 56
C. 75
D. 30
Answer:
56
Step-by-step explanation:
Angle Formed by Two Chords= 1/2(sum of Intercepted Arcs)
75 = 1/2 (94+d)
Multiply by 2
75*2 = 94+d
150 = 94+d
Subtract 94 from each side
150-94 = d
56=d