Answer:
[tex]1.6[/tex] - written in [tex]2/12/2021[/tex]
Step-by-step explanation:
The answer is [tex]1.6[/tex] because, [tex]\frac{5+8+11+7+9}{5} = 8[/tex] and [tex]8-5=3[/tex], [tex]8-8=0[/tex], [tex]11-8=3[/tex], [tex]8-7=1[/tex], and [tex]9-8=1[/tex].
So use all the sums and you'll get this: [tex]\frac{3+0+3+1+1}{5} =1.6[/tex]
This is exactly how I got the answer, I also did it on khan because I didn't trust the other person above me, and I got the same answer as him. So I did this to prove he's correct.
Answer:
7.4
Step-by-step explanation:
in the figure below the hexagon is regular which of the following is the image of the point for the given rotation r(120j) (f)
Answer: B
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
3+9=18
Trigonometry: If f(x)= 2sinx + cosx using exact values find f (120 degrees). if possible show steps.
Answer: f(120°) = (√3) + 1/2
Step-by-step explanation:
i will solve it with notable relations, because using a calculator is cutting steps.
f(120°) = 2*sin(120°) + cos(120°)
=2*sin(90° + 30°) + cos(90° + 30°)
here we can use the relations
cos(a + b) = cos(a)*cos(b) - sin(a)*sin(b)
sin(a + b) = cos(a)*sin(b) + cos(b)*sin(a)
then we have
f(120°) = 2*( cos(90°)*sin(30°) + cos(30°)*sin(90°)) + cos(90°)*cos(30°) - sin(90°)*sin(30°)
and
cos(90°) = 0
sin(90°) = 1
cos(30°) = (√3)/2
sin(30°) = 1/2
We replace those values in the equation and get:
f(120°) = 2*( 0 + (√3)/2) + 0 + 1/2 = (√3) + 1/2
The perimeter of a rectangle is 32 cm. If the width is 4 cm,find the length.
Answer:
it is 8
Step-by-step explanation:
Answer:
The length is 12cm
Step-by-step explanation:
The perimeter is the sum of all the sides
To work out the length of the rectangle you would first need to multiply the width of 4 by 2, this gives you 8. This is because the perimeter of the rectangle is the sum of all the sides, and as the rectangle has two sets of identical parallel lines.
The next step is to minus 8 from 32, this gives you 24. This is because we are isolating just the set of lengths.
The next step is to divide the value of 24 by 2, this gives you 12. This is because we had previously worked out what double the length is due to it being a set of parallel lines.
1) Multiply 4 by 2.
[tex]4*2=8cm[/tex]
2) Minus 8 from 32.
[tex]32-8=24cm[/tex]
3) Divide 24 by 2.
[tex]24/2=12cm[/tex]
Checking your answer:
To check your answer you would simply add the values of: 12, 12, 4, 4, and if this gives you 32 then the answer is correct.
1) Add 12 and 12 and 4 and 4.
[tex]12+12+4+4=32cm[/tex]
What integer represents a drop in temperature of 12°
Answer:
Integer; - 12
Step-by-step explanation:
If we are considering a situation were there is a drop in temperature, this integer representation would contain a negative;
At the same time the temperature drops by 12 degrees ( ° ) such that this integer is;
Answer; - 12
A spherical ornament is placed into a cubic box for shipping so that its surface touches each of the faces of the box, as shown in the diagram below. The remaining volume that is not taken up by the spherical ornament is to be filled with a special packing material. If the radius of the spherical ornament is 4 centimeters, about how much space is left in the box to be filled with packing material?
Answer:
243.92cm³
Step-by-step explanation:
We have two shapes given in this question. A spherical ornament and a cubic box
Step 1
Find the volume of the Sphere
Volume of the sphere is given as
4/3 πr³
In the question, the radius of the sphere is given as = 4 centimeters.
Therefore,
Volume of the sphere = 4/3 × π × 4³
Volume of the sphere = 268.08cm³
Step 2
We have to find the length of the side or the edge of the cube.
It is important note that: because the spherical ornament is insides the cubic box,
Hence, the diameter of the spherical ornament = length of the side (edge) of the cube.
In the question we are given the radius of the sphere = 4 cm
Diameter = 2 × radius = 2× 4 cm = 8cm
Since,the diameter of the spherical ornament = length of the side (edge) of the cube,
The length of the side of the edge of the cube = 8cm
Step 3
We find the Volume of the cube
Volume of the cube = Length × Width × Height
Where the Length = Width = Height
Therefore, Voulme of the cube = 8cm × 8cm × 8cm
= 512cm³
Step 4
The fourth and final step is to find the space is left in the box to be filled with packing material.
The space left to be filled with packing material = Volume of the cube - Volume of the Spherical ornament
Volume of the cube= 512cm³ Volume of the Spherical ornament =
268.08cm³
Therefore, amount or Volume of space left for the packing material = 512cm³ - 268.08cm³
= 243.92cm³
Therefore, amount of space that is left in the box to be filled with packing material is 243.92cm³
The area of the remaining space for packing the material is 243.9 square cm.
What is a sphere?It is defined as three-dimensional geometry when half-circle two-dimensional geometry is revolved around the diameter of the sphere that will form.
[tex]\rm V = \dfrac{4}{3} \pi r^3[/tex]
The radius of the sphere = 4 cm
Side of the cube = 8 cm
The volume of the cube = 8×8×8 = 512 square cm
The volume of sphere = (4/3)π(4)³ = 268.082 square cm
Remaining space = 512 - 268.082 = 243.9 square cm
Thus, the area of the remaining space for packing the material is 243.9 square cm.
Learn more about the sphere here:
brainly.com/question/11374994
#SPJ5
Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for the first term. 89, 178, 267, 356, ...
Answer:
a(n)=89n
Step-by-step explanation:
Given the sequence 89, 178, 267, 356, ...
First Term, a(1)=89
178-89=267-178=89
This is an arithmetic difference with:
Common difference, d=89
The position of any term, n in an arithmetic sequence is derived using the formula:
a(n)=a(1)+(n-1)d
Substituting a(1)=89 and d=89
a(n)=89+89(n-1)
a(n)=89+89n-89
a(n)=89n
The expression that describes the sequence above is: a(n)=89n where n is the position of a term in the sequence.
2(5 + y) = 18 what does y=
Answer:
the answer is y=4
Use Pythagorean Theorem to find the missing side length. Round to the nearest tenth.
Answer:
15.1
Step-by-step explanation:
The Pythagorean theorem is
a^2 +b^2 = c^2
23^2 + b^2 = 27.5^2
529 +b^2 =756.25
Subtract 529 from each side
529-529+b^2 =756.25-529
b^2 =227.25
Take the square root of each side
b =sqrt(227.25)
b =15.07481343
To the nearest tenth
b = 15.1
Answer:
15.1
Step-by-step explanation:
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Answer:
D.
Step-by-step explanation:
So find what two numbers multiply to 72 and add up to 17
9 and 8
(z + 9)(z + 8)
Answer:
D. (z + 9)(z + 8)
Step-by-step explanation:
Let's factor z2+17z+72
z2+17z+72
The middle number is 17 and the last number is 72.
Factoring means we want something like
(z+_)(z+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get 17
Multiply together to get 72
Can you think of the two numbers?
Try 8 and 9:
8+9 = 17
8*9 = 72
Fill in the blanks in
(z+_)(z+_)
with 8 and 9 to get...
so (z + 9)(z + 8)
What is 2 divided by 1/4.
Answer:
8
Step-by-step explanation:
you basically multiply 2 by 4 anyways hope this helps
Find The area of the parallelogram
Answer:
209 cm^2
Step-by-step explanation:
The area of the parallelogram is
A = bh
A = 19 * 11
A =209
PLEASE ANSWER I WILL MARK BRAINLIEST!!!!!!!!!!!!!!
Answer:
1.5 timesbottle Ythird bottleStep-by-step explanation:
Insufficient dimensions are given to compute an exact volume of each geometry, so we have to assume that the volume is proportional to the product of base area and height. Then the relative volumes will be ...
bottle X: (6 in)(2 in)(1 in) = 12 in^3
bottle Y: (4 in)(3 in)(1.5 in) = 18 in^3
3rd bottle: (3 in)(6 in^2) = 18 in^3
That is, the relative volumes are ...
X : Y : 3rd = 12 : 18 : 18 = 1 : 1.5 : 1.5
The corresponding relative prices are ...
X : Y : 3rd = 9.96 : 14.40 : 13:20 = 1 : 1.446 : 1.325
__
A. Bottle Y has 1.5 times as much lotion as Bottle X.
__
B. Bottle Y is a better buy than Bottle X. (The price relative to X is less than the volume relative to X.)
__
C. The 3rd bottle is the best buy. For the same volume, the price of the 3rd bottle is less than that of Bottle Y.
_____
Note that the relative volume and price ratios are found by dividing all the numbers in the ratio sequence by the first number:
12 : 18 : 18 = (12/12) : (18/12) : (18/12)
9.96 : 14.40 : 13.20 = (9.96/9.96) : (14.40/9.96) : (13.20/9.96)
helppppppppppppp please
Answer:
with?
Step-by-step explanation:
A smuggler leaves a private airfield at 06:00 flying at a heading of N40E at 200km/h. The plane is detected by radar at the police airport, which is located 150km northwest of the private airfield. At 06:30 the police airplane leaves its airport with the intention of intercepting the smuggler at 08:30. Determine the course (direction) and speed of the police airplane to the nearest unit.
Answer:
Direction of the police plane = N57.1E
Speed of the police airplane = 255 km/h
Step-by-step explanation:
The diagram of the situation described is presented in the attached image to this question.
Let the distance the police airplane has to travel to intercept the smuggler at 08:30 be x km
The police airplane moves at 06:30 and plans to intercept the smuggler at 08:30; thereby travelling for 2 hours.
By 08:30, the smuggler would have travelled for 2 hours 30 mins, that is, 2.5 hours, travelling at 200 km/h, that is a total distance of 500 km covered.
So, the paths form a triangle.
Using cosine rule, we can obtain the distance, x, that the police airplane has to travel to intercept the smuggler at 08:30.
x² = 150² + 500² - (2×150×500×cos 85°)
x² = 259,426.63858785
x = 509.34 km
We can obtain the direction, Φ, by finding the angle θ using some rule.
[(Sin 85°)/509.34] = [(Sin θ)/500]
Sin θ = (500 × sin 85°)/509.34 = 0.9779 = 77.94°
From the attached image,
Φ + θ = 90° + 45° = 135°
Φ = 135° - θ = 135° - 77.94° = 57.06° = 57.1°
Therefore,
Speed of police airplane = (distance)/(time) = (509.34/2) = 254.67 km/h = 255 km/h
Direction of the police plane = N57.1E
Hope this Helps!!!
What is the value of r in the equation?
Negative 1.5 (4 minus r) = negative 12
–6
–4
4
6
Answer:
The answer is -4
Step-by-step explanation:
that would be because that is the answer
the correct answer is B.) -4
How do I convert 1.00 into a fraction?
Answer:
[tex]\frac{10}{10}[/tex] (10/10)
Step-by-step explanation:
to convert 1.00 into a fraction you have to write 1.00 as numerator and put 1 as the denominator.
then, you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
1.00 = 1.00/1 = 10/10
Monica put 1 L, 2 centiliters, and 7 milliliters of water into a bowl. how many milliliters of water did she put in the bowl?
Answer:
1,027 milliliters
Step-by-step explanation:
1 liter is 1,000 milliliters
2 centiliters is 20 milliliters
7 milliliters stays the same
Adding up the new numbers gives you
1,000+20+7
(If tan A=)
PLZ ANSWER IT FAST...
Answer:
See explanation
Step-by-step explanation:
[tex]tan \: A = \frac{2 \sqrt{a} }{a - 1} ...(given) \\ \because \: {sec}^{2} \: A = 1 + {tan}^{2}\: A \\ \therefore\: {sec}^{2} \: A = 1 + \bigg(\frac{2 \sqrt{a} }{a - 1} \bigg)^{2} \\\\ \hspace{38 pt} = 1 + \frac{4a}{ {(a - 1)}^{2} } \\ \\ \hspace{38 pt}= \frac{(a - 1)^{2} + 4a}{ {(a - 1)}^{2} } \\ \\\hspace{38 pt} = \frac{a^{2} - 2a + 1+ 4a}{ {(a - 1)}^{2} } \\ \\ \hspace{38 pt}= \frac{a^{2} + 2a+ 1}{ {(a - 1)}^{2} } \\ \\ \hspace{38 pt}= \frac{(a + 1)^{2}}{ {(a - 1)}^{2} } \\ \\ \therefore {sec}^{2} \: A = \bigg(\frac{a + 1}{ {a - 1}} \bigg) ^{2} \\ \\ \therefore \: {sec} \: A = \pm \bigg(\frac{a + 1}{ {a - 1}} \bigg)\\ \\ [/tex]
In the question It is not mentioned that in which quadrant does angle A lie, so we will assume it to be in first quadrant.
[tex] \therefore \: {sec} \: A = \bigg(\frac{a + 1}{ {a - 1}} \bigg)\\ \\
\red{ \boxed{ \bold{\therefore \: {cos} \: A = \bigg(\frac{a - 1}{ {a + 1}} \bigg)}}} \\ \\ {sin} \: A ={cos} \: A \times {tan} \: A \\ \\ \hspace{25 pt}=\bigg(\frac{a - 1}{ {a + 1}} \bigg) \times \frac{2 \sqrt{a} }{a - 1} \\ \\ \purple {\boxed { \bold{{sin} \: A = \frac{2 \sqrt{a} }{a + 1}}}}[/tex]
125% of what number is 12.5?
Answer:
The number is 10
Step-by-step explanation:
Of means multiply and is means equals
125% * Number = 12.5
Change to decimal form
1.25 * Number = 12.5
Divide each side by 1.25
1.25 * Number / 1.25 = 12.5/1.25
Number =10
find the center and radius of the circle x2+(y+8)2=4
Answer: Center (0, -8) and Radius = 2
The standard equation of a circle is (x-h)² + (y-k)² = r² where (h,k) is the center and r is the radius.
You can write the equation as (x-0)² + (y-( -8))² = 2². From this, you can conclude that the center is (0,-8) and the radius is 2.
does anybody know where i can watch baruto dub for free all episodes no downloads
Answer:
They have it on Hulu
Step-by-step explanation:
and I heard something about Naruto360.com.
Answer:
I watched it on Utube
Step-by-step explanation:
You can find the episodes free on Utube just type in the episode and you can find it in many languages
What has a value closest to 9?
Answer: i think 83?"?"?
can someone help me!!!
explanation: hi buddy i can help you with this
The daily low temperature in Guangzhou, China Varies over time in a periodic way that can be modeled by a trigonometric function. The period of change is exactly one year. the temperature peaks around July 26 at 78°F and has its minimum half a year later at 49°F. assuming a year is exactly 365 days July 26 is 206/365 of a year after January 1. Find the formula of the trigonometric function that models the daily low temperature T in Guangzhou t years after January 1, 2015 defined the function using radians
Answer:
T(t) = 14.5cos(2π(t -206/365)) +63.5
Step-by-step explanation:
The function can be written as ...
T = A·cos(2π(t -206/365)) +B
where A is half the difference of the high and low temperature values, and B is the average of the high and low temperature values.
A = (78-49)/2 = 29/2 = 14.5
B = (78 +49)/2 = 127/2 = 63.5
The value 206/365 is the horizontal right shift of the peak of the function. That makes the peak occur on July 26, as required.
Filling in these values gives us the function ...
T(t) = 14.5cos(2π(t -206/365)) +63.5
The data set shows the numbers of hours that employees at a certain shop worked in one week. What is the mean number of hours they worked that week? 30 15 32 48 16 51 30 35 32 31
Answer:
mean number of hours worked = 32
Step-by-step explanation:
The mean or average of a set of data is the sum of the individual data divided by the number of entries.
Therefore, the mean number of hours worked is calculated as follows:
sum of the number of hours = 30 + 15 + 32 + 48 + 16 + 51 + 30 + 35 + 32 + 31 = 320
Number of entries = 10
mean number of hours worked = sum of the number of hours ÷ Number of entries
mean number of hours worked = 320 ÷ 10 = 32
An angle measures 39.2° less than the measure of its complementary angle. What is the measure of each angle?
Answer: The measures of the angles are 64.6 degrees and 25.4 degrees.
Step-by-step explanation:
Complementary angles add up to 90 degrees.
x can be one angle, and (x-39.2) can be the other
x + (x-39.2) = 90
2x - 39.2 = 90
add 39.2 to both sides
2x = 129.2
divide each side by 2
x = 64.6
find the measure of the other angle
64.6-39.2 = 25.4
The measures of the angles are 64.6 degrees and 25.4 degrees.
Answer:
25.4 and 64.6Step-by-step explanation:
Suppose two complementary angles of measures x And y then
x + y = 90 and y = x - 39.2
if we plug in x - 39.2 instead of y in the equation x + y = 90 we get :
x + (x - 39.2) = 90
then
2x = 90 + 39.2
then
2x = 129.2
then
x = 129.2/2 = 64.6
therefore
y = 64.6 - 39.2
= 25.4
______________________________
:)
The length of an arc of a circle is 9.42cm. If the diameter of the circle is 10cm, find the angle subtended by the arc at the center of the circle. (Take π = 3.142)
SHOW ALL WORKING.
Answer:
1.89 radians or 108 degrees.
Step-by-step explanation:
Circumference of the circle = 10 * 3.142
= 31.42.
So 31.42 is equivalent to 2 pi radians, so:
Angle subtended at the center
= (9.42 / 31.42) * 2 pi
= (9.42 / 31.42) * 2 * 3.142
= 1.89 radians or 108 degrees..
please help TWO questions
Answer:
4x+68=180
4x=180-68
4x=112
4. 4
x= 28°
question 2 has been solved that way because 5x+70°=180 because they are on a straight line and angles on a straight line are 180°
There are 2 violet balls and 4 pink balls in a bag.if two balls are drawn one after the other , then what is the probability of getting violet first and pink next, if the first ball drawn is replaced?
Answer:
c
Step-by-step explanation:
The probability of getting violet first and pink next is [tex]\dfrac{2}{9}[/tex].
Given:
The number of violet balls is 2.
The number of pink balls is 4.
To find:
The probability of getting violet first and pink next, if the first ball drawn is replaced.
Explanation:
We know that,
[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
Total number of balls is:
[tex]2+4=6[/tex]
The probability of getting violet a ball is [tex]\dfrac{2}{6}[/tex].
The first ball drawn is replaced, then the total number of balls remains the same. Then the probability of getting a pink ball is [tex]\dfrac{4}{6}[/tex].
The probability of getting violet first and pink next, if the first ball drawn is replaced is:
[tex]P=\dfrac{2}{6}\times \dfrac{4}{6}[/tex]
[tex]P=\dfrac{1}{3}\times \dfrac{2}{3}[/tex]
[tex]P=\dfrac{2}{9}[/tex]
Therefore, the probability of getting violet first and pink next is [tex]\dfrac{2}{9}[/tex].
Learn more:
https://brainly.com/question/15620045
Coach Walker wants to buy equal numbers of footballs and basketballs for her PE class. The footballs cost $9 each, and the basketballs cost $7 each. Coach Walker has $208 for the purchase. How many of each type of ball can she buy?
Answer:
13 footballs and 13 basketballs
Step-by-step explanation:
Let f = footballs
b = basketballs
f=b since we are buying an equal number
9f+7b = 208
Substitute f=b
9f+7f = 208
16f = 208
Divide by 16
16f/16 = 208/16
f=13
We are buying 13 footballs
Since f=b
We are buying 13 basketballs
