Answer:
64
Step-by-step explanation
Alison wants to construct the perpendicular bisector of MN⎯⎯⎯⎯⎯⎯.
What should Alison do for her first step?
Place the point of the compass on point M and draw an arc, using a width for the opening of the compass that is greater than 12MN.
Use the straightedge to draw a line that intersects MN⎯⎯⎯⎯⎯⎯ at a point between M and N.
Place the point of the compass on point M and draw an arc, using a width for the opening of the compass that is equal to 12MN .
Place the point of the compass on point M and draw an arc, using a width for the opening of the compass that is less than 12MN
Answer:
What should Alison do for her first step ? She should learn to intersect the bisector of the intersector of mn such that mn should be the intersection of mn to nm so that no 2 intersections should intersect each other's bisector of mn to intersect of mn.
Step-by-step explanation:
Answer:
I should add that Alison is a very smart girl if she wants to construct such a perpendiculiar bisector of MN--. I am realy gratefull for such a kind and wise little smart girl.
Step-by-step explanation:
Write the equation in slope-intercept form of the line that passes through the points (5,4) and (1−6,)
Answer:
y = 5/2x - 17/2
Step-by-step explanation:
First, find the slope of the equation by using the slope formula:
m = (y2 - y1) / (x2 - x1)
m = (-6 - 4) / (1 - 5)
m = 10/4
m = 5/2
Next, find the y-int by plugging in one of the two points into the equation we have so far:
y = 5/2x + b
(5, 2)
4 = 5/2(5) + b
4 = 25/2 + b
4 - 25/2 = b
b = -17/2
Now you have your final equation:
y = 5/2x - 17/2
Answer:
[tex]y=\frac{5}{2}x-\frac{17}{2}[/tex]
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Points: (5, 4), (1, -6)
Slope (Calculated): [tex]\frac{5}{2}[/tex]
[tex]y = \frac{5}{2}x+b[/tex]
[tex]-6 = \frac{5}{2}(1)+b[/tex]
[tex]b=-\frac{17}{2}[/tex]
[tex]y=\frac{5}{2}x-\frac{17}{2}[/tex]
PLS HELP ASAP
Simplify 8 − (14). (1 point)
Question 5 options:
1)
−22
2)
−6
3)
6
4)
22
Find the dimensions of the box with volume 8000 cm3 that has minimal surface area. (Let x, y, and z be the dimensions of the box.)
Answer:
[tex]x = y = z = 20[/tex]
Step-by-step explanation:
Given
[tex]Volume = 8000cm^3[/tex]
Required
Determine the dimensions that minimizes the surface area.
Surface area of a box is;
[tex]S = 2(xy + xz + yz)[/tex]
Volume of a box is:
[tex]V = xyz[/tex]
Make z the subject
[tex]z = \frac{V}{xy}[/tex]
Substitute 8000 for V
[tex]z = \frac{8000}{xy}[/tex]
Substitute 1000/xy for z in [tex]S = 2(xy + xz + yz)[/tex]
[tex]S = 2(xy + x\frac{8000}{xy}+y\frac{8000}{xy})[/tex]
[tex]S = 2(xy + \frac{8000}{y}+\frac{8000}{x})[/tex]
Expand:
[tex]S = 2xy + \frac{16000}{y}+\frac{16000}{x}[/tex]
[tex]S = 2xy + 16000(\frac{1}{y}+\frac{1}{x})[/tex]
Differentiate S w.r.t x
[tex]\frac{dS}{dx} = 2y - \frac{16000}{x^2}[/tex]
Differentiate S w.r.t y
[tex]\frac{dS}{dy} = 2x - \frac{16000}{y^2}[/tex]
Equate both differentiation to 0
[tex]2x - \frac{16000}{y^2} = 0[/tex]
Multiply through by [tex]y^2[/tex]
[tex]2xy^2 - 16000 = 0[/tex]
[tex]2xy^2 = 16000[/tex]
Divide through by 2
[tex]xy^2 = 8000[/tex] -- (1)
[tex]2y - \frac{16000}{x^2} = 0[/tex]
Multiply through by x^2
[tex]2x^2y - 16000 = 0[/tex]
[tex]2x^2y = 16000[/tex]
Divide through by 2
[tex]x^2y = 8000[/tex] --- (2)
Divide (1) by (2)
[tex]\frac{x^2y = 8000}{xy^2 = 8000}[/tex]
[tex]\frac{x}{y} = 1[/tex]
[tex]x = y[/tex]
Substitute y for x in (1)
[tex]x^2y = 8000[/tex]
[tex]x^2 * x = 8000[/tex]
[tex]x^3 = 8000[/tex]
Take cube roots
[tex]x =20[/tex]
Hence;
[tex]x = y = 20[/tex]
Recall that:
[tex]z = \frac{8000}{xy}[/tex]
[tex]z = \frac{8000}{20 * 20}[/tex]
[tex]z = 20[/tex]
Hence, the dimension of the box that minimizes the surface area of the box is:
[tex]x = y = z = 20[/tex]
A sample of 40 CDs from a student's collection showed a mean length of 52.74 minutes with a standard deviation of 13.21 minutes. Construct a 95% confidence interval for the population standard deviation. (Round your answers to 4 decimal places.) The 95% confidence interval is from to .
Answer:
(48.65, 56.83)
Step-by-step explanation:
Given that :
Sample size (n) = 40
Mean (m) = 52.74
Standard deviation (s) = 13.21
α = 95%
Confidence interval around sample mean can be obtained using the relation :
Mean ± Zstatistic * s/√n
Z score for 95% confidence interval = 1.96 (Z probability calculator)
s / √n = 13.21 / √40 = 2.0886843
Lower limit of confidence interval :
52.74 - (1.96 * 2.0886843) = 48.646178772 = 48.65
Upper limit of confidence interval :
52.74 + (1.96 * 2.0886843) = 56.833821228 = 56.83
A rectangle measures 54 feet by 72 feet. What is the length, in feet, of
the diagonal of the rectangle?
a. 48 ft
b. 90 ft
c. 110 ft
d. 2268 ft
e. 8100 ft
length (l) =54
breath (b) =72
l²+b²= diagonal²..........(Pythagoras theorem) and (all sides of rectangle are 90degree)
(54)²+(72)²=diagonal²
2916+5184=diagonal²
8100=diagonal²
90= diagonal.............(taking square root)
length of diagonal is 90ft
i hope it helps
have a nice day and thanks for asking this question
Find the length of side x in simplest radical form with a rational denominator.
60°
5
X
30°
Jessica runs 4 miles every 32 minutes. At thisrates, how many miles does she run in 48 minutes
How is 0,2 an answer?
Answer:
it is an answer if you are using a coordinate plane
Step-by-step explanation:
Use the extended form find the perimeter of the square shape of 10cm and 18cm
Subtract. Write the answer in lowest terms.
6 1/6 - 2 5/6
Answer:
61/6_25/6=61_25/6=36/6 we divide =6The answer is 6Step-by-step explanation:
Please mark my answer as a brainliest. Please follow me. ❤❤❤Answer:
3 1/6
Step-by-step explanation:
look on the attachment i sent
Find the solution of the system of equations.
8x + 6y = 28
9x + 3y = 39
What is |9|?
-18
-9
9
18
Answer:
the true answer is 9
Step-by-step explanation:
Because the product of the absolute value is the same number and positive
HELP QUICKLY PLEASE Which of these is used to find the estimated age range of a fossil?
Absolute dating
Half-life
Index fossils
Radioactive dating
Answer:
Step-by-step explanation:
Radioactive dating becouse they look how long the fossils were there
[6TH GRADE] Kidneys are components of the urinary system, a subsystem that filters waste from the blood. A kidney is made up of millions of smaller units, called nephrons. Based on this information, which of the statements could be true? Select ALL that apply.
A. A nephron is a subsystem.
B. A kidney is a subsystem.
C. A kidney is an organ system.
D. A kidney is an organ.
help please:/ 11 points :D
im going to put this in mathematics because mathematics is most viewed.
Answer:
D. A kidney is an organ is correct.
Step-by-step explanation:
A kidney is a part of our body that cleans our blood, ridding it of all uncleanliness, similar to a water filter.
A kidney is an organ because it's one of the essential parts of our body that we need to survive. Our body couldn't live with too much/ too little salt and other substances in our blood.
Therefore, the correct answer is D. A kidney is an organ.
Hope this helps! :D
plz help thanks . uh idk what to write but it’s making me write
Answer:
A, 4, -1
It's reflected over the y-axis, so it goes to the right side.
Answer:
a (4,-1)
Step-by-step explanation:
A is the answer.
1 and 1/4 - 1/3=
please give the right answer
Answer:
11/12
Step-by-step explanation:
15/12-4/12= 11/12
Answer:
11/12
Step-by-step explanation:
5/4 -1/3 first make the equation easier to look at so take the 1 and add it as 4/4
15/12-4/12 then make the bottom the same with multipulcation and tops are multiples as well
11/12 subtract
Triangle ABE ~ Triangle CDE. Find the length of altitude for NE.
Kareem is flying two kites. He has 104 feet of string out to one kite and 120 feet out to the other kite. The angle formed by the two strings is 36° as shown in
the figure below. Find the distance between the kites.
120
104
36 degrees
Carry your intermediate computations to at least four decimal places.
Round your answer to the nearest tenth of a foot.
Submit Assignment
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Answer: Manuel is flying two kites. He has
102
feet of string out to one kite and
111
feet out to the other kite. The angle between the strings is
36°
as shown in the figure below. Find the distance between the kites
3. The area of a rectangle is 37 square meters. If the length is 5 times the width, then find the dimensions of the rectangle. Round off your answers to the nearest hundredth
Answer:
length is 13.6m
width is 2.72m
First year students in rolled at a college were asked whether they play video games. The responses, classified by whether the students were enrolled in the school of sciences the school of arts are shown in the table.
There are 3 cups of blue paint and 2 cups of red paint. Whats the ratio?
Answer:
3:2
Step-by-step explanation:
can also be written as 3/2 as a fraction!
Answer:
Blue paint to red paint - 3:2
Red paint to blue paint 2:3
Step-by-step explanation:
For every 3 cups of blue paint there is 2 cups of red paint
For every 2 cups of red paint there is 3 cups of blue paint
Fraction Mode: 3/2 or 2/3
inverse of functions
Help please due soon
Answer:
1. H=6
2. Y= -1
3. T= 2
4. D= 2.1
5. K= 0
6. -13 1/3
Step-by-step explanation:
find the length of side x in simplest radical denominator
Answer:
324352
Step-by-step explanation:
1. What is the best estimate for the
product of 37 and 19?
Answer: 800.
Step-by-step explanation: Round them both to the nearest ten. That is 40x20.
Answer:
2
Step-by-step explanation:
40/20=2
maria walks 22 feet, then goes another 40 feet on a path that makes a 70 degree angle with the path she was on. how far is she, in feet, from her starting location?
Answer:
132 feet
Step-by-step explanation:
22+60+70
The distance of the Maria from her starting location is 109.9 feet.
What is trigonometry?Right angle triangles are the focus of the mathematical field of trigonometry. Calculations involving specific functions of angles are the focus of trigonometry.
In trigonometry, the following six functions are frequently used: sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (cosec)
Let's call the distance Maria is from her starting location "x".
The 70 degree angle forms a right triangle with the distance Maria walked initially (22 feet) and the distance she is from her starting location (x). We can use the trigonometric function tangent to find x:
tan(70°) = x/40
Multiplying both sides by 40, we get:
x = 40 tan(70°)
Using a calculator, we find that tan(70°) is approximately 2.7475. Multiplying by 40, we get:
x = 109.9
So Maria is approximately 109.9 feet from her starting location.
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A sample is treated as large sample, when its size is...
Answer:
A sample is considered large when n≥30. is called the margin of error of the estimate.
Step-by-step explanation:
I hope that was the answer you are looking for. If it is possible could you please mark me brainliest?
A sample is treated as large sample when its size is n ≥ 30.
Here, A sample is treated as large sample.
What is large sample?
The sample size n is greater than 30 ( n ≥ 30 ) is known as large sample.
Now,
A sample is treated as large sample when its size is n ≥ 30.
Learn more about large sample visit:
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6-2d=42
What is D please help me find what it is
Answer: -18
Step-by-step explanation:
if 6-2d=42
just subtract 6 from both sides
-2d=42-6
-2d=36 now divide by 2
-d=18
multiply by -1
d=-18
Answer: d=-18
Step-by-step explanation:
6-2d=42
First subtract 6 from both sides
-2d=36
Now divide both sides by -2 to get d alone
d=-18
IN HURRY PLEASE HELP IF CAN
According to the graph, what is the experimental probability of selecting the letter C?
16%
20%
16.7%
24%
Answer: 24%
Step-by-step explanation:
45 is the total number of occurrences, and 6 different occurrences round it off to 8 being the closest to 25% thus that's how I figured out 24