Answer:
Radians:Ф=0.46364... +π n
Degrees:Ф= 26.56505 + 180° n.
Step-by-step explanation:
Apply trig inverse properties
Ф= arccot(2) +π n
Ф=0.46364... +π n
Radians:Ф=0.46364... +π n
Degrees:Ф= 26.56505 + 180° n.
There are 24 students in a class and a decrease of 15%. How many students would you have?
Answer:
20
Step-by-step explanation:
85% of 24 is 20
Brad weighs 125 pounds. How could you change 125 pounds
to tons
In a right triangle, a and b are the lengths of the legs and c is the length of the hypotenuse. If a=9 feet and c=10 feet, what is b? If necessary, round to the nearest tenth. HELPPP!!
Answer:
b = 4.4 feet
Step-by-step explanation:
To find the value of "b", all you need to do is plug the values for "a" and "c" into the pythagorean Theorem and isolate "b".
a² + b² = c² <------ Phythagorean Theorem
9² + b² = 10² <------- Plug in a = 9 and c = 10
81 + b² = 100 <-------- Square both values
b² = 19 <-------- Subtract 81 from both sides
[tex]\sqrt{b^{2} } = \sqrt{19}[/tex] <-------- Square root both sides to remove exponent
b = 4.358...
b = 4.4 feet
Pa answer po thank you
Answer:
hope it helps you
Step-by-step explanation:
To make such a frequency distribution table, first, write the class intervals in one column. Next, tally the numbers in each category based on the number of times it appears. Finally, write the frequency in the final column. A frequency distribution table drawn above is called a grouped frequency distribution table.
Need help on this one please
Answer:
y = 1/3 x + 4
Step-by-step explanation:
y = 1/3 x + 4
The y intercept is 4 (when x = 0 from the graph) and the slope is rise (1) and run (3).
Which boxes have a volume of 120 cubic feet: box a: a length of 5 feet, width of 4 feet, a height of 6 feet. Box B: length of 7 ft, width of 7 ft and height of 6 feet. Box c: length of 3 feet, width of 6ft, height of 4 feet. Box D: length of 10 feet, width of 3 feet, height of 4 feet. Also fatso
9. The longitude of a geographic location is measured in degrees east (E) or west (W) from the
prime meridian (0°) to the international date line (180°). Quito, Ecuador, on the west coast of
South America, has a longitude of 78.5º W. Singapore, on the Malay Peninsula in Asia, has a
longitude of 104° E. Both cities are very close to the equator. The diameter of Earth at the
equator is 7928 miles. What is the shortest distance from Quito to Singapore? Explain how you
found your answer.
Based on the longitudes of Quito and Singapore, the shortest distance between the two areas is 19,702.5 km .
How far is Quito from Singapore?Because both cities are close to the equator, you use the longitudinal difference method to find the shortest distance.
First find the difference in longitudes:
= Singapore - Quito
= 104 - (-78.5) because Quito is west
= 104 + 78.5
= 182.5°
Then subtract this from 360°:
= 360 - 182.5
= 177.5°
Every 1° longitude along the Equator is 111 km so the shortest distance is:
= 177.5 x 111
= 19,702.5 km
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A theater has 18 rows of seats. Each row has the same number of seats.
Suppose there were 3 fewer rows. Then for the theater to hold the same
number of people, each remaining row would need 6 more seats. How
many seats are in the theater?
There are a total of 180 seats in the theater
How to determine the number of seats?The theatre illustrates an arithmetic sequence, with the following parameters:
Number of rows = 18
Let the number of seats per row be n.
So, we have:
Total = 18n
When there are 3 fewer rows, the total number of seats is:
Total = (18 - 3) * (n + 6)
This gives
Total = 15* (n + 6)
Substitute Total = 18n in Total = 15* (n + 6)
18n = 15* (n + 6)
Open the bracket
18n = 15n + 90
Subtract 15n from both sides
3n = 30
Divide both sides by 3
n = 10
Substitute n = 10 in Total = 18n
Total = 18 *10
This gives
Total = 180
Hence, there are 180 seats in the theater
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A right triangle has a 120° angle and 190° angle. What is the measure of the third angle?
Answer:
i measures of the third angle is 18degrees
ack recorded the number of different colored marbles he has in a pouch. The results are provided in the table below.
Part A. Jack takes out a marble, then without replacing it, he takes out another marble from the pouch. What is the probability that Jack takes out a green marble and then an orange marble? Make sure to show your work for credit.
Part B. Jack has another jar of 275 marbles that have the same distribution as the table above. Based on the information in the table, determine the number of yellow marbles in Jack's jar of marbles. Make sure to show your work for credit.
Part C. Jack also likes to collect buttons. He has 5 bags of buttons. Some information about the number of buttons in each bag is provided below:
The fewest number of buttons in a bag is 21.
The greatest number of buttons in a bag is 29
The mean number of buttons in the bags is 27.
There are two modes for the number of buttons in each bag.
How many buttons are in each of Jack's five bags? (You should have 5 numbers) Make sure to show your work for credit.
Answer:
its b actually jack had 5 numbers for each button
You had $21 to spend on eight notebooks. After buying them you had $5. How much did each notebook cost?
Answer:
each notebook costs $2
Step-by-step explanation:
21-5=16/8=$2
Another find the slope of the given line please see attached photo
Answer:
4
Step-by-step explanation:
It is 4 because the point rises 4 units up from the graph and runs 1 unit to the right which is 4/1 = 4.
* Given the following expressions:
I.
[tex] - \frac{5 }{8} + \frac{3}{5} [/tex]
||.
[tex] \frac{1}{2} + \sqrt{2} [/tex]
|||.
[tex]( \sqrt{5} ) \times ( \sqrt{5} )[/tex]
IV.
[tex]3 \times ( \sqrt{49} )[/tex]
Answer:
sorrry i forget you man ..... or bro .....
What is the volume, in cubic in, of a rectangular prism with a height of 12in, a width of 10in, and a length of 12in?
Answer:
1440 cubic inches
V = [tex]l[/tex] × [tex]w[/tex] × [tex]h[/tex]
V = 12 × 10 × 12 = 1,440 cubic inches
Have to make the equation on the left look like the equation on the right. There are apparently only 2 steps but I can not figure it out for myself. Also not supposed to touch the second equation just show how you get it from the first.
Step-by-step explanation:
[tex] \frac{a}{b} c = \frac{a}{ \frac{b}{c} } [/tex]
[tex] \frac{a}{b} c = a \times \frac{c}{b} [/tex]
Answer:
Step-by-step explanation: change A/B/C to A÷B/C then change the division sign into a multiplicmultiplication sign so that you will have A×C/Bwhich will make your left equation = to your right equation
What is the unfilled volume inside the cylinder? 320π cubic units 597π cubic units 640π cubic units 725π cubic units
The unfilled volume inside the cylinder is 640π cubic units
How to find unfilled volume?Volume of a cylinder = πr²h
= π × 8² × 15
= π × 64 × 15
= 960π cubic unit
h = heightr = radiusl = slant heightVolume of a cone = 1/3πr²√l² × r²
= 1/3 × π × 8² √17² × 8²
= 1/3 × π × 64 √289 × 64
= 1/3 × π × 64 √353
= 320π cubic unit
Unfilled volume = 960π cubic unit - 320π cubic unit
= 640 cubic unit
The complete question:
A solid oblique cone with a slant length of 17 units is inside an empty cylinder with a congruent base of radius 8 units and a height of 15 units. What is the unfilled volume inside the cylinder? 320π cubic units 597π cubic units 640π cubic units 725π cubic units
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Answer:
640pi
Step-by-step explanation:
A pot of soup, currently 16°C above room temperature, is left out to cool. If that temperature
difference decreases by 6% per minute, then what will the difference be in 16 minutes?
If necessary, round your answer to the nearest tenth.
°C
Answer:
5.9 C
Step-by-step explanation:
Plug in 16°C for the initial amount, 0.06 for the rate of decrease, and 16 minutes for the time elapsed.
y= a(1–r)t
y= 16(1–0.06)16 Plug in values
y= 16(0.94)16 Subtract
y= 16(0.37157…) Simplify
y= 5.94518… Multiply
Round to the nearest tenth.
5.94518… → 5.9
To the nearest tenth, the difference in temperature will be 5.9°C.
Find the value of x in this figure
Find the approximate values of the five-number summary for the data set represented by this box plot.
0 5 10 15 20 25 30 35 40 45 50 55 60 65 70 75 80 85 90 95 100
Answer:
Minimum: 0
Quartile Q1: 22.5
Median: 50
Quartile Q3: 77.5
Maximum: 100
Step-by-step explanation:
Solve Algebraically
y=x2−4x+3
y=x−5
Answer:
then
x2-4x+3=x-5
or,x2-4x-x= -5-3
or,x2-5x+8=0
Determine two coterminal angles in radian measure (one positive and one negative) for each angle.
The two coterminal angles in radian measure (one positive and one negative) for each angle for figure 1 and 2 are,[(13π/4),(-π/4) and [(7π/4),(-17π/4) rad] respectively.
What is coterminal angle ?Angles having the same terminal side at standard position are called coterminal angles.
Although the magnitudes of coterminal angles varies, they all have the same sides and vertices.
Positive or negative coterminal angles are possible. The positive coterminal is obtained by adding 2 rad or 360° to the negative coterminal, while the negative coterminal is obtained by removing 2 rad or 360°.
For figure 1;
The positive coterminal angle is found as;
[tex]\rm \rightarrow \theta + 2 \pi \\\\ \rightarrow \frac{5 \pi}{4} + 2 \pi \\\\ \rightarrow\frac{13 \pi}{4} \ rad[/tex]
The negative coterminal angle is found as;
[tex]\rm \rightarrow \theta - 2 \pi \\\\ \rightarrow \frac{5 \pi}{4} - 2 \pi \\\\ \rightarrow\frac{-3 \pi}{4} \ rad[/tex]
For figure 2;
The positive coterminal angle is found as;
[tex]\rm \rightarrow \theta + 2 \pi \\\\ \rightarrow \frac{-9\pi}{4} + 2 \pi \\\\ \rightarrow\frac{7 \pi}{4} \ rad[/tex]
The negative coterminal angle is found as;
[tex]\rm \rightarrow \theta - 2 \pi \\\\ \rightarrow \frac{-9 \pi}{4} - 2 \pi \\\\ \rightarrow\frac{-17 \pi}{4} \ rad[/tex]
Hence,the two coterminal angles in radian measure (one positive and one negative) for each angle for figure 1 and 2 are,[(13π/4),(-π/4) and [(7π/4),(-17π/4)] respectively.
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The cost of operating the Marketing Department is allocated to four departments based on the floor space each occupies, in m2. Department A occupies 1400 m2, Department B occupies 820 m², Department C occupies 560 m2, and Department D occupies 390 m². If the cost of operating for March was $19 000. how much of the cost should each department of the Marketing Department take up?
The cost of each department A, B, C, and D of the Marketing Department would take up is $8,391.17, $4,914.83, $3,356.47, and $2,337.53, respectively.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
Given the cost of operating the marketing Department for March is $19,000. The total area of operation is,
Total Area = Department A + Department B + Department C + Department D
Total Area = 1400 m² + 820 m² + 560 m² + 390 m² = 3,170 m²
Now, the cost of operating a unit area can be determined as,
Cost of operating = $19,000/3,170m² = $5.99369 per m²
Further the cost of operating the different departments are,
Department A = 1400m²×$5.99 = $8,391.17
Department B = 820m²×$5.99 = $4,914.83
Department C = 560m²×$5.99 = $3,356.47
Department D = 390m² × $5.99 = $2,337.53
Hence, the cost of each department A, B, C, and D of the Marketing Department would take up is $8,391.17, $4,914.83, $3,356.47, and $2,337.53, respectively.
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a family has three children child a child be and child C child a is younger than child see child be is not older than child a from youngest to oldest how are the children ordered by age
Answer:
I'd say the order from youngest to oldest, would be B A C.
Step-by-step explanation:
My reason is that, A is younger than C or in other words C is older than A. Also B is NOT older than A, so therefore B must be younger than A.
So from youngest to oldest, B is younger than A, A is younger than C, and that means C is the absolute oldest out of the three children.
Hope this helps you :)
Sorry if it didn't though.
Question 5 of 25
Which graph shows a system with an infinite number of solutions?
A. Graph A
B. Graph C
C. Graph B
Answer:
The answer is Graph C.
Step-by-step explanation:
Both the equation of each other are the same in Graph C..
Answer:
B. Graph C
The lines are together, so every point they pass is a solution
Two numbers are in the ratio 3 : 5. if each number is increased by 10, the ratio becomes 5 : 7.The numbers are .
Given 3x and 5x --------------- (i)
(3x+10)/(5x+10) = 5/7
On cross multiplication we get :-21x + 70 = 25x + 50
On solving we get :-4x = 20
x = 5
on substituting x in (i) we get 15 and 25.Conic sections provide a format that makes them fairly uncomplicated to draw manually. The true sense
of mastery is to take a graph of a conic section and develop the equation
Your job is to simply come up with the equations for the two
graphs.
The equation of the ellipse will be (x - 5)² / 16 + (y + 7)² / 64 = 1 and the equation of the hyperbola will be (x + 1)² / 4 - (y)² / 64 = 1.
What is an ellipse?Ellipse is a locus of a point that moves in a plane such that the sum of its distances from the two points called foci adds up to a constant. It is taken from the cone by cutting it at an angle.
What is a hyperbola?The hyperbola is the locus of a point such that the difference of distance from point P to two non-movable points. These two points are called foci of hyperbola.
Conic sections provide a format that makes them fairly uncomplicated to draw manually.
Then the equation of the ellipse will be
(x - 5)² / 16 + (y + 7)² / 64 = 1
Then the equation of the hyperbola will be
(x + 1)² / 4 - (y)² / 64 = 1
The graphs are given below.
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x-1/x-1=1 what is x
HELP PLS
Answer:
x € R
Step-by-step explanation:
In mathematics, every expression
divided by itself is equal to one
For this expression For every value that will be replaced by x will be equal to one
I need help with number 2 please
Answer:
B
Step-by-step explanation:
2.
what is the middle between 2 numbers (any numbers, really) ?
you add both numbers and divide the result by 2.
the same here :
(-3 + 24) / 2 = 21/2 = 10 1/2
proof :
what is the distance from -3 to 10 1/2 ? it is 10 1/2 from 0 to 10 1/2 plus 3 from -3 to 0 = 10 1/2 + 3 = 13 1/2.
what is the distance from 10 1/2 to 24 ? it is 13 from 11 to 24, and another half from 10 1/2 to 11. so, in total 13 1/2.
both distances are equal, so it is proven for 10 1/2 to be the midpoint.
The circumference of a circular garden is 122.46 feet. What is the radius of the garden? Use 3.14 for π and do not round your answer. feet
The radius of the circular garden whose circumference is 122.46 feet is: 19.5 feet.
What is the Circumference of a Circle?Circumference = 2πr, where r is the radius of the circle.
Given the following:
Circumference = 122.46 feetRadius (r) = ?π = 3.14122.46 = 2(3.14)(r)
122.46/2(3.14) = r
r = 19.5 feet.
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Can anyone please solve this for me right now?
The width of the path when the length of the outer rectangle is 26+2x and width of it is 18+2x is 4 meters.
What is the area of a rectangle?Area of a rectangle is the product of the length of the rectangle and the width of the rectangle. It can be given as,
A=a×b
Here, (a)is the length of the rectangle and (b) is the width of the rectangle
The length of the outer rectangle is 26+2x and width of it is 18+2x. The area of this rectangle is 884² m. Thus,
A=a×b
884=(26+2x)×(18+2x)
884=468+52x+36x+4x²
4x²+88x-416=0
Divide both side with 4,
x²+22x-104=0
x²+26x-4x-104=0
x(x+26)-4(x+26)=0
(x+26)(x-4)=0
x=-26,4
Take the positive value 4. The width of the path is equal to x which is 4 meters.
Hence, the width of the path when the length of the outer rectangle is 26+2x and width of it is 18+2x is 4 meters.
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