Answer: -4/6
opposite means negative
Step-by-step explanation: hope this helps :)
Answer:
-4/6 directly on a numberline
If YV = 28 in, find the length of the major arc VYX. Round to the nearest tenth ( one decimal place).
Answer:
[tex]VYX=84.3in[/tex]
Step-by-step explanation:
Given
[tex]YV = 28in[/tex]
[tex]\angle WZX = 15^\circ[/tex]
See attachment
Required
Determine the length of [tex]VYX[/tex]
First, calculate the major angle VZX
[tex]\theta = \angle VZX = 360 - \angle WZX[/tex]
[tex]\theta = \angle VZX = 360 - 15[/tex]
[tex]\theta = \angle VZX = 345[/tex]
[tex]\theta = 345[/tex]
The length of arc VYX, is:
[tex]L=\frac{\theta}{360} * 2\pi r[/tex]
Where
[tex]r = \frac{1}{2} * Diameter[/tex]
[tex]r = \frac{1}{2} * YV[/tex]
[tex]r = \frac{1}{2} * 28[/tex]
[tex]r = 14[/tex]
So:
[tex]L=\frac{\theta}{360} * 2\pi r[/tex]
[tex]L=\frac{345}{360} * 2 * \frac{22}{7} *14[/tex]
[tex]L=\frac{345}{360} * 2 * 22 *2[/tex]
[tex]L=\frac{345* 2 * 22 *2}{360}[/tex]
[tex]L=\frac{30360}{360}[/tex]
[tex]L=84.3in[/tex]
Hence, the length of VYX is:
[tex]VYX=84.3in[/tex]
A group of students went on a field trip. The students were divided into 6 buses and each bus had less than 52 students. How many students went on the field trip?
Answer:
A maximum of 306
Step-by-step explanation:
You can estimate that since each bus had less than 52 students, that 51 were on each bus. 51 times 6=306
All of the items in a bicycle shop are on sale for 30% off the regular price. Rene spends $74.90 to buy a bicycle and a
helmet (without taxes). If the regular price of the bicycle is $85, which equation can be used to find the regular price of the
helmet, h?
0.3(74.90+ h) - 85
0.3(85+) - 74.90
0.7(74.90+h) - 85
0.7(85+1) - 74.90
Answer:
0.7(85+)-74.90
Step-by-step explanation:
Answer:
D - 0.7(85+)-74.90
Step-by-step explanation:
Got 100% on the quiz! Have a good day!! :)
The alternating current (AC) breakdown voltage of an insulating liquid indicates its dielectric strength. The article "Testing Practices for the AC Breakdown Voltage Testing of Insulation Liquids" (IEEE Electrical Insulation Magazine, 1995: 21–26) gave the accompanying sample observations on breakdown voltage (kV) of a particular circuit under certain conditions.
62 50 53 57 41 53 55 61 59 64 50 53 64 62 50 68
54 55 57 50 55 50 56 55 46 55 53 54 52 47 47 55
57 48 63 57 57 55 53 59 53 52 50 65 60 50 56 68
a. Construct a boxplot of the data and comment on interesting features.
b. Calculate and interpret a 95% CI for true average breakdown voltage m. Does it appear that m has been precisely estimated? Explain.
c. Suppose the investigator believes that virtually all values of breakdown voltage are between 40 and 70. What sample size would be appropriate for the 95% CI to have a width of 2 kV (so that m is estimated to within 1 kV with 95% confidence)?
Answer:
(53.50 ; 56.75)
127
Step-by-step explanation:
Given the data:
41, 46, 47, 47, 48, 50, 50, 50, 50, 50, 50, 50, 52, 52, 53, 53, 53, 53, 53, 53, 54, 54, 55, 55, 55, 55, 55, 55, 55, 56, 56, 57, 57, 57, 57, 57, 59, 59, 60, 61, 62, 62, 63, 64, 64, 65, 68, 68
Using calculator :
Standard deviation, s = 5.74
Mean, m = 55.125
Sample size, n = 48
95% confidence interval :
Zcritical at 95% = 1.96
Mean ± Zcritical* s/sqrt(n)
55.125 ± 1.96 * 5.74/sqrt(48)
Lower boundary :
55.125 - 1.96(0.8284976) = 53.50
Upper boundary :
55.125 + 1.96(0.8284976) = 56.75
(53.50 ; 56.75)
Sample size, n :
n = [(Zcritical * s) / Error margin]²
Error margin = 1
Zcritical at 95% = 1.96
s = 5.74
n = [(1.96 * 5.74) / 1]²
n = 11.2504²
n = 126.57
n = 127
Every week, Marla’s mom buys 15 liters of water at the supermarket. How many milliliters of water is this?
15,000
1,500
150
1000
Answer:
it is 15,000
Step-by-step explanation:
15,000 because there is 1,000 milliliters in one liters and 15 liters = 15,000 milliliters
compare 1/3 and 2/5?
Answer:
2/5 is bigger
5/15 and 6/15 (comparison)
Answer:
1/3>2/5
Step-by-step explanation:
What is the equation of a line that passes through the points (3,6) and (8, 4)?
3
Oy= 22
o - -
o v x 27
0 - 22/x - 29
oy- - 2 x + 38
Answer:
In the equation y=mx+b, 'm' is the slope of the line and 'b' is the y-intercept.
First, you should find the slope of the line. To do this, use the equation M=y2-y1/x2-x1. Using the two given points (3,6) and (8,4), you can solve for M.
M=4-6/8-3
M=-2/5 (-0.4 in decimal form)
Now, your equation is y=-0.4x+b
Next you must solve for b to find the y-intercept. You can do this by subbing one of the given points in for x and y.
Using the point (3,6):
y=-0.4x+b
6=-0.4(3)+b
6=-1.2+b
Isolate b:
6+1.2=b
b=7.2
And now you have the equation of the line!
y=-0.4x+7.2 (IN FRACTION FORM: y=-2/5x+36/5)
Step-by-step explanation:
Hiram asked his math class “How many pets do you own?” He graphed the results on the line plot. Which is the best description of the data?
a. Themedianis2.5,thedistributionissymmetrical,andtherearenogapsoroutliers.
b. Themodeis2,thedataisskewedtotheright,andthereisagapfrom3-4.
c. The range is 7, there is a peak at 5, and 6, 7, and 0 are outliers.
d. Themeanisabout3.1,therearenogapsoroutliers,apeakat2,andthedataisnot
symmetrical.
Answer:
I'm pretty sure, D.
Step-by-step explanation:
Going off the graph I was given, there was a peak at 2. There are no outliers. The data is also not symmetrical.
Find the area of a trapezoid with:
Base 1: 8
Base 2: 5
Height: 8
Area =
Answer:
52
Step-by-step explanation:
8+5=13
13x8=104
104/2=52 (divided)
Answer:
52
Step-by-step explanation:
I took the test
Multiple three hundred and seventy by forty three
Step-by-step explanation:
15910
hope it helps
thanks a lot
HELP ASAP !!!!Tracey is saving each month for new tires for her car. She plans to save $60 each month. Which table shows the amount Tracey has saved over the last several months?
Can you show a picture of the table?
Answer:
theres no pic but im am 100% sure its 720
Step-by-step explanation
multiply 60 x 12 = 720 if im wrong its not my fault there is no pic
Given two terms of the arithmetic sequence a3=25 and a8=-10 find a1 and d
Answer:
Sorry I don’t know
Step-by-step explanation:
a3=25
a8=-10
first, a3=25 will be 25= a + (3-1)×d that is the formula of the Arithimetic function genrally→ an=a (which is the first term..that we wanted in this case) + n-1 (n is the order of wanted term..we already has the term which is 3) × d (the common ration).
So, 25=a+(3-1)×d
25=a+2d
25-2d=a rearrange
a= 25-2d
We will take this equation and subsitute it in the other equation which is -10=a+ (8-1)×d
so it will be -10=25-2d+(8-1)×d
-10= 25-2d+7d sum the d
-10= 25+5d
-10-25= 5d
-35=5d
-35/5=d
-7= d
Now that we have the d we can go back to the equation of a= 25-2d and know the value of a
a= 25-2×-7
a1=39
d=-7
a ladder is leaning up against a building. the bottom of the ladder is 6 feet from the building. the top of the ladder reaches the wall at a height of 8 feet. how long is the ladder?
The length of the ladder is [tex]x = \sqrt{100} =10 feet[/tex].
To find out the length of the ladder leaning against the building given the following conditions; bottom of the ladder is 6 feet from the building, and the top of the ladder reaches the wall at a height of 8 feet, the Pythagorean theorem can be utilized.
Therefore the length of the ladder is approximately 10 feet.
The Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
This can be expressed as:
[tex]c^2=a^2+b^2[/tex]
where c is the hypotenuse (the longest side of the triangle)
a and b are the other two sides
Given, the distance from the bottom of the ladder to the wall is 6 feet and the height from the ground to the top of the ladder is 8 feet.
Let the length of the ladder be x
According to the Pythagorean theorem:
[tex]x^2 = 6^2 + 8^2 x^2[/tex]
[tex]x^2 = 36 + 64x^2[/tex]
[tex]x^2 = 100[/tex]
Therefore the length of the ladder is [tex]x = \sqrt{100}= 10 feet[/tex].
For such more questions on length
https://brainly.com/question/30582409
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The high temperatures for a week are shown. 15°, 34°, 17°, 15°, 16°, 8° Which measure of center, mean or median, would BEST represent the data?
Hey there!
The mean would probably best represent the data.
This is because the mean of data is the average, which would show what the average temperature throughout the week was.
Have a super awesome day! :)
(5x-6) = (2x+9)
7x=3
Answer:
5
Step-by-step explanation:
5x -6 = 2x +9
5x -2x = 9 +6
3x = 15
x = 5
Evaluate 11.3p + 10.7r when p = 3 and r = 4
Answer is in the photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!
tinyurl.com/wpazsebu
Find the missing angle according to the Triangle Sum Theorem.
Answer:
k = 140 degrees.
The missing INTERIOR angle is 40 degrees.
Step-by-step explanation:
The missing interior angle would be 40.
Triangle angle sum theorem states the 3 interior angles of a triangle sum to 180.
64+76+40 = 180
The exterior angle theorem states the exterior angle of a triangle is equal to the sum of the two remote interior angles of the triangle.
Exterior angle k = 64+76
k= 140
Community population had increased 13% from 1980 to 2000. If the population in 1980 was 1200, what was the population in 2000?
Answer: 1,356
Step-by-step explanation:
It is 1200 increased by 13%
Which of the following situations describes a transformation of kinetic energy to potential energy?
OA a soccer player kicks a ball
OB
a roller coaster goes up an incline
C.
a light bulb is lit by a battery
OD
a marshmallow is toasted in a camp fire
Answer:
c
Step-by-step explanation:
*The rectangle has a perimeter of 38 meters.
*The length of the rectangle is 5 meters more
than the width.
What is the length and the width of the
rectangle?
Perimeter:
Length:
Answer:
Width of the rectangle = 7 meters
Length of the rectangle = 12 meters
Step-by-step explanation:
Perimeter of a rectangle = 2(length + width)
Perimeter of the rectangle = 38 meters
Width of the rectangle = w
Length of the rectangle = w + 5
Perimeter of a rectangle = 2(length + width)
38 = 2{(w + 5) + w}
38 = 2(w + 5 + w)
38 = 2(2w + 5)
38 = 4w + 10
38 - 10 = 4w
28 = 4w
w = 28/4
w = 7 meters
Width of the rectangle = w
= 7 meters
Length of the rectangle = w + 5
= 7 + 5
= 12 meters
12. Si R(x)=-5x2+x-2 y S(x)=-x - 3x, se
¿cuál es el resultado de R(x) + S(x) ?
Answer:
El resultado eres: [tex]R(x) + S(x) = -6x^2 - 2x - 2[/tex]
Step-by-step explanation:
Se dan las siguientes funciones
[tex]R(x) = -5x^2 + x - 2[/tex]
[tex]S(x) = -x^2 - 3x[/tex]
Cuál es el resultado de R(x) + S(x) ?
Se soman los fatores en comun. Entonces:
[tex]R(x) + S(x) = -5x^2 + x - 2 + (-x^2 - 3x) = -5x^2 + x - 2 - x^2 - 3x = -5x^2 - x^2 + x - 3x - 2 = -6x^2 - 2x - 2[/tex]
El resultado eres: [tex]R(x) + S(x) = -6x^2 - 2x - 2[/tex]
Solve for x in the rectangle
IF U DONT KNOW ANSWER THEN DONT ANSWER SIMPLE!
A hotel has a square lobby. Management wants to reserve a smaller square area in stone to serve as the base of a new seating area. The side length of the seating area will be four meters less than the side length of the lobby, as shown below. After purchasing materials, the manager noticed that two times the area of the seating area was equal to 16 square meters less than the area of the entire lobby. Write and solve a system of equations to determine the dimensions of the whole lobby and the smaller seating area cutout. A. The lobby is 8 meters by 8 meters, and the seating area is 4 meters by 4 meters. B. The lobby is 10 meters by 10 meters, and the seating area is 6 meters by 6 meters. C. The lobby is 12 meters by 12 meters, and the seating area is 8 meters by 8 meters. D. The lobby is 6 meters by 6 meters, and the seating area is 4 meters by 4 meters.
Answer:
C
Step-by-step explanation:
Use a graph to figure this out it will be as easy as eating a cake then
Hope this helps
Connor can travel 2 3/4 miles in 2 1/2 hours. What is his average speed in miles per hour?
Which one is greater 9/11 or 4/5
This is really easy please help
Answer:
9/11 = 45/55
4/5 = 44/55
Obviously, 45 is more than 44, so 9/11 is greater than 4/5.
Let me know if this helps!
Prepare a graph with the X axis range from -300 to +100 °C and Y axis from 0 to 9 cm.
Answer: (Attached)
Graphic below is the answer to your question.
1) How many triangles will be formed by 13 matchsticks?
2) How many matchsticks will be needed to form 7 triangles?
please help me solve this problem with step by step explanation.
Answer:
Im not rally sure but maybe 5.71 , here is my explanation :
Step-by-step explanation:
Tan 55 =x/4
tan 55 = 1/42814
1/42814 = x /4
×=5.712592027 .
Consider the following series. 1 5 1 10 1 15 1 20 1 25 Determine whether the series is convergent or divergent. Justify your answer. Converges; the series is a constant multiple geometric series. Converges; the limit of the terms, an, is 0 as n goes to infinity. Diverges; the limit of the terms, an, is not 0 as n goes to infinity. Diverges; the series is a constant multiple of the harmonic series.
Answer:
The series Diverges ; The series is a constant multiple of harmonic series
Step-by-step explanation:
The series :
1/5 + 1/10 + 1/15 + 1/20 + 1/25
The series can be expressed as :
a1 = 1 / 5*1
a2 = 1 / 5*2
a3 = 1 / 5*3
a4 = 1 / 5*4
a5 = 1 / 5*5
hence we can write a[tex]_{n}[/tex] as ; a
attached below is the remaining part of the solution
What's the value of x
(3x-5) and (x+10)