Answer:
42
Step-by-step explanation:
2+10+3*10 =42 because there are 2 boxes inside each there are 5 then inside each boxes are 3
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.
More about the ellipse and hyperbola link is given below.
https://brainly.com/question/14104652
#SPJ1
Y=x^2 – 4x + 5 vertex form please
Answer:
Step-by-step explanation:
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.
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
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.
To learn more about the coterminal angle refer:
https://brainly.com/question/23093580
#SPJ1
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.
Learn more about Fraction:
https://brainly.com/question/1301963
#SPJ1
Find the measures of all of the angles.
Answer:
a:
1. ABC = 60°
2. BCA = 90°
3. CAB = 30°
b:
XVR = WVS = 125°
RVS = 55°
RST = VSU = 110°
RSV = UST= 70°
TUS = 39°
Step-by-step explanation:
a:
According this is a Right Triangle ( BCA = 90°) and the sum angles of a triangle is 180° :
90+5x+9x+6=180
14x=84
x=6
Then we have : ABC = 9(6)+6 =60
CBA = 5(6)=30
b :
Given that the size of the opposite angles to a vertex are equal and the sum of the interior angles of a triangle is 180 degrees, the size of all angles can be easily found.
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.
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
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
what is 747-329 equal
Answer:
418
Step-by-step explanation:
Tom would like to stock groceries for his shop. The wholesaler where he buys his stock sells sugar in packets of 10 per carton, flour in packets of 6 per carton and rice in packets of 5 per carton. How many cartons of each item should Tom buy so that there are equal number of packets of sugar, flour and rice.
Answer: Sugar = 3 cartons, Flour = 5 cartons, Rice = 6 cartons
Step-by-step explanation:
Sugar = 10 packets/carton
Flour = 6 packets/carton
Rice = 5 packets/carton
10, 20 30... sugar
6, 12, 18, 24, 30... flour
5, 10, 15, 20, 25, 30... rice
30/10 = 3 cartons of sugar
30/6 = 5 cartons of flour
30/5 = 6 cartons of rice
For all the number of packets to be equal.
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
Learn more about volume:
https://brainly.com/question/3780563
#SPJ4
Answer:
640pi
Step-by-step explanation:
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.find the volume of a rectangular pyramid
Answer:
192 yd³
Step-by-step explanation:
The volume of a rectangular pyramid is given by the formula:
[tex]V=\frac{1}{3} lwh\text{ where } l \text{ is the base length, }w \text{ is the base width, and }h \text{ is the pyramid height}[/tex]
In this case: [tex]l = 9, w=8, h = 8[/tex]
[tex]\therefore V=\frac{1}{3}(9\text{ yd})(8\text{ yd})(8\text{ yd})=192\text{ yd}^3[/tex]
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.
Learn more about the area of rectangle here;
https://brainly.com/question/11202023
#SPJ1
Which matrix multiplication is possible
Answer: D)
Step-by-step explanation: using a matrix calculator for each equation, the last one was the only one that was possible which came out to be ( 0,4,0,-4)
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
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.
Learn more about the circumference of a circle on:
https://brainly.com/question/20489969
#SPJ1
The power, P (watts), of a car engine is proportional to the square of its
speed, s(m/s). When s=25, P=1800. Work out the speed (to 1 DP) when the power is 2000 watts.
The speed when the power is 2000watts is 22.5m/s
Subject of formulaIf the power, P (watts), of a car engine is proportional to the square of its
speed, s(m/s), this is expressed as:
P = k/s
When s=25, P=1800 then;
1800 = k/25
k = 25 * 1800
k = 4500
In order to calculate the speed when the power is 2000;
s = k/p
s= 4500/2000
s = 22.5m/s
Hence the speed when the power is 2000watts is 22.5 m/s
Learn more on inverse here: https://brainly.com/question/3831584
#SPJ1
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
Marshall evaluates the expression 15.3 - 7.9 and gets an answer of 7.4.
Is this a reasonable answer?
A. Since 15.3 rounds to 16 and 7.9 rounds to 8, the difference rounds to 8. His answer of 7.4 also rounds to 8, so it is reasonable.
B. Since 15.3 rounds to 16 and 7.9 rounds to 8, the difference rounds to 8. His answer of 7.4 rounds to 7, so it is not reasonable.
C. Since 15.3 rounds to 15 and 7.9 rounds to 8, the difference rounds to 7. His answer of 7.4 also rounds to 7, so it is reasonable.
D. Since 15.3 rounds to 15 and 7.9 rounds to 8, the difference rounds to 7. His answer of 7.4 is not equal to 7, so it is not reasonable.
Answer:
C
Step-by-step explanation:
Anything less than 5 rounds down while 5 and anything more rounds up. Therefore...
15.3 rounds to 15
7.9 rounds to 8
7.4 rounds to 7
So, his answer is reasonable.
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
Find the value of x in this figure
Help how do i do this
Answer:
406.3 cm²
Step-by-step explanation:
The total surface area is the sum of the base area and the lateral area. The lateral area is the sum of the areas of the 6 congruent triangular faces.
__
lateral areaEach triangular face has a base of 8 cm and a slant height of 10 cm. Its area is ...
A = 1/2bh
A = 1/2(8 cm)(10 cm) = 40 cm²
Then the area of 6 faces is 6×40 cm² = 240 cm².
total areaThe base area is given.
The total area is the sum of the lateral area and the base area:
total area = 240 cm² +166.3 cm² = 406.3 cm²
The surface area is about 406.3 cm².
pls help what is the m ACD?
Answer:
Angle ACD = 54° ( Angle standing on same arc at the circumference are equal )
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
Find out more on longitudes at https://brainly.com/question/23425958.
#SPJ1
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
