8 > −4; Subtract 8 from both sides.

The resulting inequality is:

Answer:

i measures of the third angle is 18degrees

Answer:

each notebook costs $2

Step-by-step explanation:

21-5=16/8=$2

Answer:

1440 cubic inches

V = [tex]l[/tex] × [tex]w[/tex] × [tex]h[/tex]

V = 12 × 10 × 12 = 1,440 cubic inches

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.

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.

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

The unfilled volume inside the cylinder is 640π cubic units

Volume of a cylinder = πr²h

= π × 8² × 15

= π × 64 × 15

= 960π cubic unit

Volume 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:

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

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.

Answer:

20

Step-by-step explanation:

85% of 24 is 20

Answer:

Angle ACD = 54° ( Angle standing on same arc at the circumference are equal )

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

Given 3x and 5x --------------- (i)

(3x+10)/(5x+10) = 5/7

21x + 70 = 25x + 50

4x = 20

x = 5

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.

__

Each 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.

The 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.

Answer:

its b actually jack had 5 numbers for each button

The speed when the power is 2000watts is 22.5m/s

If 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

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Answer:

sorrry i forget you man ..... or bro .....

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.

The radius of the circular garden whose circumference is 122.46 feet is: 19.5 feet.

Circumference = 2πr, where r is the radius of the circle.

Given the following:

122.46 = 2(3.14)(r)

122.46/2(3.14) = r

r = 19.5 feet.

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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.

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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Answer:

Step-by-step explanation:

Answer:

then

x2-4x+3=x-5

or,x2-4x-x= -5-3

or,x2-5x+8=0

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.

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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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.

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 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.

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.

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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Based on the longitudes of Quito and Singapore, the shortest distance between the two areas is 19,702.5 km .

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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Answer:

418

Step-by-step explanation: