FI=6
IH=12
calculate the length of GI
\(\\ \sf\longmapsto GI^2=FI(IH)\)
\(\\ \sf\longmapsto GI^2=6(12)\)
\(\\ \sf\longmapsto GI^2=72\)
\(\\ \sf\longmapsto GI=\sqrt{72}\)
\(\\ \sf\longmapsto GI=8.22\)
If FI = 6 and IH = 12. The length of GI = 8.22.
How to estimate the length of GI?Given: FI = 6 and IH = 12
To estimate the length of GI
\($\mathrm{Gl}^{2}\) = FI (IH)
Simplifying the above equation, we get
\($\mathrm{Gl}^{2}\)= 6 (12)
Remove parentheses: (a) = a
Multiply the numbers then, we get
\($6 \cdot 12=72$\)
\($\mathrm{Gl}^{2}\) = 72
GI = \($\sqrt{72}\)
GI = 8.22
Therefore, the length of GI = 8.22.
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Area of perimeter of composite figures puzzle question C
The area and perimeter of the figure be 562.08 m² and 123.68 m.
The figure referred to is made out of a parallelogram and a crescent. The area of the parallelogram can be determined by utilizing the equation base x level, bringing about an area of 336 m².
The area of the crescent is determined utilizing the formula (π x r²)/2, calculating an area of 226.08 m². Thus, the complete area of the figure is 562.08 m².
The perimeter of the parallelogram is 86 m, while the border of the half circle is 37.68 m, giving an all-out perimeter of 123.68 m.
The area of the figure is 562.08 m², while the perimeter is 123.68 m.
This can be additionally separated into the area and perimeter of the parallelogram and half circle, which are 336 m² and 226.08 m² for the area, and 86 m and 37.68 m for the border, individually.
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Find the algebraic measure of the given directed angle:
Answer:
305°
Step-by-step explanation:
The full angle is 360° and we have an angle of 54° so the remaining is :
360°-55°=305°
ANSWER ALL OF THESE RIGHT AND YOU GET 60 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Find the following sums and differences. Show your work.
a. 4 gal 2 qt + 5 gal 3 qt = ? gal ? qt
b. 6 ft 2 in − 9 inches = ? ft ?in
c. 3 min 34 sec + 7 min 46 sec = ? min ? sec
d. 24 lb 9 oz − 3 lb 11 oz = ? lb ? oz
write the equation of the line in fully simplified intercept form
Answer:
y = -x - 6
Step-by-step explanation:
The equation is y = mx + b
m = the slope
b = y-intercept
The slope = rise / run or (y2 - y1) / (x2 - x1)
Let's pick 2 points ( -6, 0) (-5, -1)
We see the y decrease by 1 and the x increase by 1, so the slope is
m = -1
The y-intercept is located at (0,-6)
So, our equation is
y = -x - 6
Which two steps will complete the list correctly?
O4. Divide the original measurement by the conversion factors
5. Check for reasonableness.
O4. Multiply the original measure by the conversion factors.
5. Simplify the answer
O4. Multiply the original measure by the conversion factors.
5. Check for reasonableness.
4. Divide the original measure by the conversion factors
5. Sinplify the answer
Answer:
the 3 one xD
Step-by-step explanation:
i know i am bulted D I F F E R E N T ~(T-T)~
Netflix conducted a pricing experiment and by randomly selecting users and give them a 20% discount for their Prime membership. It is observed that these users are 10% more likely than others to join as a new member. What is the demand elasticity? It the current price optimal for Netflix?
The demand elasticity for Netflix's pricing experiment can be calculated using the formula:Demand Elasticity = Percentage change in quantity demanded / Percentage change in price.
Given that the users who received a 20% discount were observed to be 10% more likely to join as new members, we can assume that the percentage change in quantity demanded is 10%. However, we don't have information about the percentage change in price. Without that information, it is not possible to calculate the demand elasticity.
Regarding the optimality of the current price for Netflix, we cannot determine it based solely on the given information. Demand elasticity helps measure the responsiveness of quantity demanded to a change in price, which can guide pricing strategies. If the demand elasticity is elastic (greater than 1), a decrease in price can lead to a proportionally larger increase in quantity demanded.
However, without knowing the specific price, quantity demanded, and elasticity values, it is not possible to determine whether the current price is optimal for Netflix.
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Paige has a cell phone plan that charges $0.06 per minute plus a monthly fee of $15.00. She budgets $25.50 per month for her total cell phone expenses without taxes. What is the maximum number of minutes Paige could use her phone each month and still stay within her budget? O 675 O 425 O 250 0 175
Answer:
Step-by-step explanation:
175 because i did the math 15+0.06x <=25.5
Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions. Online Content: Site 1 Online Content: Site 2 What property of a rhombus is used in this proof of showing that a triangle is an equilateral triangle? (Site 1)
a normal population has a mean 31 and standard deviation 7. what is the probability that a randomly chosen value will be greater than 18?
Answer:
0.969
Step-by-step explanation:
use the z-score formula to convert the values.
z = (X - υ) / σ
where X is the test statistic, υ is the mean, σ is the standard deviation.
z = (18 - 31) / 7
= -1.857
area in z-score table (this is area to left of <18) is 0.0314.
P(>18) = 1 - 0.0314 = 0.969
is (2,0) a solution to the equation y=6x
Answer:
no
Step-by-step explanation:
x = 2
y = 0
substitute x with 2 and y with 0
0 = 6(2)
0 = 12
this is not true, so (2,0) is not a solution
The focus of a parabola is located at (0,–2). The directrix of the parabola is represented by y = 2. Which equation represents the parabola? y2 = –2x x2 = –2y y2 = –8x x2 = –8y
Answer:
\(\boxed{x^2=-8y}\)
Step-by-step explanation:
\((a,b)\ is \ the\ focus\\y=k\ is \ the\ directrice\\\\Formula\ to\ use:\ y=\dfrac{(x-a)^2}{2(b-k)} +\dfrac{b+k}{2} \\\\Here: \ a=0,\ b=-2, \ k=2\\\\y=\dfrac{(x-0)^2}{2(-2-2)} +\dfrac{-2+2}{2} \\\\so\ y=-\dfrac{x^2}{8} \\\\or\ x^2=-8y\)
The equation which represents the parabola is x^2 = 8y, the correct option is C.
What is vertex form of a quadratic equation?
If a quadratic equation is written in the form
y=a(x-h)^2 + k
then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)
First of all, i used this vertex formula thing since it is visible that there are quadratic functions. Otherwise, you had to use calculus to get critical points, then second derivative of functions to find the character of critical points as minima or maxima or saddle etc to get the location of vertex point.
This point (h,k) is called the vertex of the parabola that quadratic equation represents.
We are given that;
Focus of parabola= (0,–2)
Now,
The vertex is halfway between the focus and the directrix on a line perpendicular to them. Since the focus is at (0,-2) and the directrix is y = 2, we can find that:
The vertex is at (0,0), because it has an x-coordinate of 0 (same as the focus) and a y-coordinate of 0 (the average of -2 and 2).
p is equal to 2, because it is half of the distance between -2 and 2.
Now we can plug in these values into the formula:
(x - 0)^2 = 4(2)(y - 0)
Simplifying, we get:
x^2 = 8y
Therefore, the equation of the parabola will be x^2 = 8y.
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27
Lalculate the projected balance or casn at the end or August. A. \( \$ 23000 \) B. \( \$ 29000 \) C. \( \$ 107000 \) D. \( \$ 38000 \)
The projected balance of cash at the end of August is $38,000. The correct option is D.
To calculate the projected balance of cash at the end of August, we need to consider the cash balance at the beginning of the month, cash collections, and cash payments for August.
Given that the cash balance on July 31 was $32,000.00, we start with this amount.
Cash collections for August are $52,000.00, which means this amount is added to the cash balance.
Next, we consider cash payments for August, which include purchases of direct materials and operating expenses. The total cash payments for August are $20,000 (purchases of direct materials) + $26,000 (operating expenses) = $46,000.00. This amount is subtracted from the cash balance.
Finally, we calculate the projected balance of cash at the end of August by adding the cash collections and subtracting the cash payments from the beginning cash balance:
Projected cash balance at the end of August = Beginning cash balance + Cash collections - Cash payments
= $32,000 + $52,000 - $46,000
= $38,000
Therefore, correct option is D.
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Complete question is:
Berman Company is preparing its budget for the third quarter. Cash balance on July 31 was $32,000.00. Assume there is no minimum balance of cash required and no borrowing is undertaken. Additional budgeted data are provided here:
July Aug Sep
Cash collections $51,000.00 $52,000.00 $50,000.00
Cash payments
Purchases of direct materials 23,000 20,000 24,000
Operating expenses 32,000 26,000 22,000
Capital expenditures 7,000 9,000 13,000
Calculate the projected balance of cash at the end of August.
A. $23000
B. $29000
C. $107000
OD. $38000
1. Suppose that the rats on the campus of Hypothetical U are found to be carriers of bubonic plague. Eradicating the rats has an estimated cost of $1,000,000 and is expected to reduce the probability a given student dies of the plague from 1/3,000 to zero. Suppose that there are 30,000 students on campus. Suppose further that the administration refuses to eradicate the rats due to the cost. From this information, we can estimate that the administration’s willingness to pay to save a student statistical life is no more than:
a) $50,000
b) $1,000,000
c) $100,000
d) $33,333
The administration's willingness to pay to save a student's statistics life is no more than option c) $100,000.
To estimate the administration's willingness to pay to save a student's statistical life, we need to calculate the cost per statistical life saved. Currently, the probability of a student dying from the plague is 1/3,000. If the rats are eradicated, this probability is reduced to zero. The cost of eradicating the rats is $1,000,000. To calculate the cost per statistical life saved, we divide the cost by the number of statistical lives saved.
The number of statistical lives saved is the product of the number of students on campus (30,000) and the reduction in probability (1/3,000).
Cost per statistical life saved = $1,000,000 / (30,000 * (1/3,000))
= $1,000,000 / (30,000 * 1/3,000)
= $1,000,000 / 10
= $100,000
Therefore, the correct answer is option c) $100,000.
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Why is an exact answer not necessary for some math problems?
Answer:
Because it can make the problem harder
In maths, if there is a question that has a decimal for example like 33.33333333, then that will make the problem harder to perform, that's why, it's not necessary to take the exact answer for some problems. BUT, IF IT SAYS TO TAKE THE EXACT ANSWER, THEN YOU HAVE TO.
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hannah was 4 liters of cooking oil in a bottle.She uses \(5 \times \frac{1}{2} \)liters of the oil.How many liters of oil are left in the bottle
so 1whole 1/2 = 3/2
4 - 3/2 = 5/2
answer= 5/2 litres left
What is the solution to this system of linear equations
X+y=4
X-y=6
(4,6)
(6,4)
(5,-1)
(-1,5)
The sales tax rate is 10%. If Bill buys a globe priced at $14.80,
what will be the total cost including tax?
El boleto de entrada de una funcion de teatro es de $175.00para nuños y $200para adultos a la funcion entran 470 asistentes recaudandose $88,250.00 ¿Cual es el sistema de ecuaciones para calcular la cantidad de niños y adultosque acudieron a la funcion
Answer:
El sistema de ecuaciones para calcular la cantidad de niños y adultos que acudieron a la función es:
x+y=270
175x+200y=88,250
Step-by-step explanation:
La información proporcionada indica que a la función entran 470 asistentes entre adultos y niños y con esta información puedes decir que la suma de niños y adultos que entran a la función es igual a 470:
x+y=270, donde
x es el número de niños
y es el número de adultos
Además, se indica que se recaudaron $88,250 y tienes los precios de cada entrada por lo que puedes expresar que la suma de los resultados de multiplicar cada precio por la cantidad de personas que entraron por ese precio es igual a $88,250:
175x+200y=88,250
De acuerdo a esto, la respuesta es que el sistema de ecuaciones para calcular la cantidad de niños y adultos que acudieron a la función es:
x+y=270
175x+200y=88,250
Let f(x) =4x-1 and g(x)=2^x+3. Find (f-g) (5)
Answer:
\(-16\)
Step-by-step explanation:
\(f(5)=4(5)-1=19 \\ \\ g(5)=2^5+3=35 \\ \\ (f-g)(5)=f(5)-g(5)=19-35=-16\)
A portion of the population that is drawn in such a way that every member of the population has an equal chance of being selected for the survey is known as a _____.
For class 6 a)a square can be taught of as a special rectangle. b)a rectangle can be thought of as a special parallelogram. c)a square can be thought of as a special rhombus. d) squares , rectangles , parallelograms are all quadrilaterals. e) square is also a parallelogram. please answer fast
Correct statements are:
a) A square can be thought of as a special rectangle.
d) Squares, rectangles, and parallelograms are all quadrilaterals.
e) A square is also a parallelogram.
Incorrect statements are:
b) A rectangle cannot be thought of as a special parallelogram. A rectangle is a special type of quadrilateral, but it does not have the same properties as a parallelogram.
c) A square cannot be thought of as a special rhombus. While a square is a special type of rhombus, not all rhombuses are squares.
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A CD usually sells for $13.00. If the CD is 10% off, and sales tax is 6%, what is the total price of the CD, including tax?
The ratio of alternative songs to total songs is 9:14. My music library has 308 total songs. How many are NOT alternative songs? (Set up a proportion and solve.)
Answer:
110
Step-by-step explanation:
Rate or proportion shows the relationship between the variation in the number of two variables.
Given that the ratio of alternative songs to total songs is 9:14.
Total songs = 308
Since the to every 14 total songs, there is 9 alternative songs.
Thus,
Number of alternative songs = \(\frac{9}{14}\) x 308
= 198
There are 198 alternative songs in the music library.
The number of songs that are NOT alternative songs = 308 - 198
= 110
Thus, there are 110 songs that are NOT alternative songs.
What is the measure of angle N?
Answer:
47.3 degrees
Step-by-step explanation:
The sum of all the angles in a triangle is 180 degrees.
180 - 42.7 - 90 = N
N = 47.3 degrees
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if the surface area is 225 square inches, then what is the radius r ? in other words, evaluate r(225) . round your answer to 2 decimal places.
The radius is approximately 3.78 inches.
We can solve the question using the formula for the surface area of a sphere:
S=4πr^2
We are given that the surface area is 225 square inches, so we can substitute this value into the formula and solve for r:
\(225=4\pi r^2\frac{225}{4\pi}\)
= r^2
r={{225}{4π}}
approx 3.78
A sphere does not have any edges or vertices, like other 3D shapes. The points on the surface of the sphere are equidistant from the center.
Hence, the distance between the center and the surface of the sphere are equal at any point. This distance is called the radius of the sphere.
The Radius of a circle or sphere is equal to the Diameter divided by 2.
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I NEED HELP!!!!
what is the solution for x=4?
Answer:
its basically just x=4
Step-by-step explanation:
At a local fitness center, members pay a $10 membership fee and $4 for each aerobics class. Nonmembers pay $6 for each aerobics class. For what number of aerobics classes will the cost for members and nonmembers be the same?
Answer:
5 classes
Step-by-step explanation:
Local fitness center: $10+$4x
Nonmembers: $6x
$10+$4x=$6x
10-2x=0
-2x=-10
x=5
(another way)
10+4(1)=14
6(1)=6
10+4(2)=18
6(2)=12
10+4(3)=24
6(3)=18
10+4(4)=26
6(4)=24
10+4(5)=30
6(5)=30
Hayley sold 9 collectibles at the following prices:
$35.00
What was the median price?
$36.00 $35.00 $34.00 $38.00 $35.00 $35.00 $36.00 $39.00
Use the box method to distribute and simplify (6x – 4)(-x^2+ 2x – 3). Drag and
drop the terms to the correct locations of the table.
(6x-4)(-x^2+2x-3)
Answer:
for the empty box in the -4 column put -8 and for the empty box in the 6x column put -18