Find the area of the sector of the circle with central angle of 195° and radius of 7 cm. Use 3.14 for pi(π) and round to the nearest hundredth.


23.81 cm2

27.86 cm2

83.34 cm2

166.68 cm2

Answer:

answer is A and it feels wierd to answer this

The side length of the cube is approximately 12.84 inches.

What is cube?

A cube is a nathree-dimensiol geometric shape that has six square faces of equal size, 12 edges of equal length, and eight vertices where the edges meet. The cube is a regular polyhedron, which means that all of its faces are congruent (identical) squares and all of its angles are right angles (90 degrees). The cube is often used in mathematics and geometry to illustrate concepts such as volume, surface area, and spatial relationships. It is also a common shape in architecture and design, where it can be used to create buildings, furniture, and other objects.

To solve for the side length of a cube with a volume of 1833 in³, we can use the equation V = s³, where V is the volume and s is the measure of one side of the cube.

To solve for s, we can rearrange the equation to isolate s:

s = V^(1/3)

Substituting the given value for V, we get:

s = 1833^(1/3)

Using a calculator or estimation, we can find that the cube root of 1833 is approximately 12.84. Therefore, the side length of the cube is approximately 12.84 inches.

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Answer:

1/1

1.0

100%

Step-by-step explanation:

Answer:

9/9 is the same as 1

Step-by-step explanation:

9/9 = 1/1

= 1.0

= 1

= 100%

Answer:

Solution

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Verified by Toppr

Correct option is A)

We first calculate slant height L of the pyramid with base s=10 cm and height 12 cm:

L 2 =H 2 +( 2s )

2

=12

2

+(

2

10

)

2

=12

2

+5

2

=144+25=169

⇒L=

169

=13

The perimeter of the base is P=4s, since it is a square, therefore,

P=4×10=40 cm

The general formula for the lateral surface area of a regular pyramid is LSA=

2

1

Pl where P represents the perimeter of the base and l is the slant height.

Since the perimeter of the pyramid is P=40 cm and the slant height is l=13 cm, therefore, the lateral surface area is:

LSA=

2

1

Pl=

2

1

×40×13=260 cm

2

Now, the area of the base B=s

2

with s=10 cm is:

B=s

2

=10

2

=100 cm

2

The general formula for the total surface area of a regular pyramid is TSA=

2

1

Pl+B where P represents the perimeter of the base, l is the slant height and B is the area of the base.

Since LSA=

2

1

Pl=260 cm

2

and area of the base is B=100 cm

2

, therefore, the total surface area is:

TSA=

2

1

Pl+B=260+100=360 cm

2

Hence, total surface area of the pyramid is 360 cm

2

.

The simplified form of the expression -6w + (–8.3) + 1.5+ (–7w) is -13w - 6.8.

Given the expression in the question;

-6w + (–8.3) + 1.5+ (–7w)

To simplify, first remove the parenthesis

Note that;

-6w + × - 8.3 + 1.5 + × - 7w

-6w - 8.3 + 1.5 - 7w

Next collect and add like terms

-6w - 7w - 8.3 + 1.5

Add -6w and -7w

-13w - 8.3 + 1.5

Add -8.3 and 1.5

-13w - 6.8

Therefore, -13w - 6.8 is the simplified form.

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Answer:

131560.072

Step-by-step explanation:

Because it is increase so we add humdred to the percent and then divide by hundred - 18+100/100 = 1.18

eight years - 1.18 raised to the pwer of 8

worth - 35000

hence it will be - 1.18 raised to the power of 8 x 35000

thank you

Answer:

(1.4, 2.5)

Step-by-step explanation:

\(y = x + 1\) ... equ 1

\(y =3x - 2\) ... equ 2

subtract equ 1 from 2, we'll have

\(0 = 2x - 3\)

\(2x = 3\)

\(x= 3/2 = 1.5\)

substitute the value of \(x\) in equ 1, we'll have

\(y = 1.5 +1\)

\(y = 2.5\)

therefore, solution to the system of the equation is (1.5, 2.5)

the closest in your option is (1.4, 2.5)

Answer:

A) The total length of each edging in her scale drawing would be 19.2 centimeters.

B) Square or rectangle

C) angle  α= 53.13 degrees

angle β=  36.87 degrees

height=  32 inches

base= 24 inches

hypotenuse 40 inches.

Step-by-step explanation:

Part A:

If the roll edging is 96 inches long and the scale chosen is

5inches = 1 cm

96inches /5= 19.2cm

The total length of each edging in her scale drawing would be 19.2 centimeters.

Part B:

The quadrilaterals such rectangle square right  trapezoid have a pair of 90 degrees angles.

If we choose a square shape then all sides must be equal. And we have a length of 19.2 centimeters.

Dividing 19.2 by 4  gives 4.8 cm for each side.

Figure A  shows a square and has 4 sides equal and 4 right angles.

If we choose a rectangle shape then 2 sides must be equal. We have a length of 19.2 centimeters.

Suppose the length is 2 times more than the width

which will give the dimensions as

2*2 x+ 2x= 6x   ( length and width denoted by x)

Dividing 19.2 by 6  gives 3.2 cm for each width and  6.4 for the lengths.

Figure B shows a rectangle  and has 2 sides equal and 4 right angles.

It depends on which quadrilateral you wish to choose.

Part C:

Using Pythagorus theorem if the base and altitude are given then the hypotenuse can be found out using the following formula.

c²= a² +b²

c²= 6.4² +4.8²

c²= 40.96+23.04= 64

c= √64 = 8

The third side must be equal to 8 centimeters.

Using the formula

Cos α= base / hypotenuse

Cos α=4.8/8

α= Cos (inverse) 4.8/8

α= Cos (inverse) 0.6

α= 53.13 degrees

So angle α= 53.13 degrees

All the angles in the triangle must be 180 degrees.

α + β +  90°= 180°

And angle β= 180-90-53.13= 36.869= 36.87 degrees

The actual dimensions of this triangle are

height= a= 6.4* 5= 32 inches

base= b= 4.8*5= 24 inches

hypotenuse= 8*5= 40 inches.

Answer:

y=2x

Step-by-step explanation:

2-(-2)/3-1

4/2

2

Answer:

I think the answer is 2/1=2.

I hope this helps.\

Slope (m) =  2 / 1 = 2

ΔX = 3 – 1 = 2

ΔY = 2 – -2 = 4

Every day, the mass of the sample shrinks by a factor of 0.04.

An exponential function has the definition presented as follows:

y = ab^x.

In which the parameters are given as follows:

The growth or decay of an exponential function depends on the parameter b as follows:

The decay factor k of the exponential function, when |b| < 1, is obtained as follows:

b = 1 - k

k = 1 - b.

The parameter b for this problem is given as follows:

b = 0.96.

Hence it represents decay, and the factor is obtained as follows:

k = 1 - 0.96

k = 0.04.

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Answer:

5.99 round up to 6

15lbs ÷6 = 2.50 per pound

Answer:

2.50 dollars per every 1 lb

Step-by-step explanation:

I just divided 5.99 by 15 to get the amount per pound. I then rounded that number to the hundredth as it was necessary in this problem!

Answer:

I don't see any symbols, so I'll simply compare the two measurements.

Step-by-step explanation:

2 yards and 4 inches

Each yard has 3 feet.  Each foot has 12 inches.  The total inches in 3 yards is therefore:

(2 yards)*(3 feet/yard)*(12 inches/Foot) = 72 inches  [Note how the units cancel to leave only inches]

This means we have a total of 72 + 4 inches = 76 inches total

19 Inches

Compared to 19 inches, 72 inches is almost 3.79 times longer.

Answer:

a) RTP

b) MN

c) x=7

Step-by-step explanation:

hope this helps

answer:

v = 77 \(mm^{3}\)

step-by-step explanation:

v = (5.5)(4)(3.5)

v = 77 \(mm^{3}\)

Answer:

Volume = 77mm

Step-by-step explanation:

Given the length, width and height find the volume

Volume = Length x Width x Height

4 x 5.5 x 3.5 = 77mm

Answer:

135=

3=5−10

Step-by-step explanation:

im not good at this but my mom said to try so i its not right

No,  a fluid obeying the clausius equation of state have a vapor-liquid transition

This is because a straight line does not exist between a liquid's temperature and its vapour pressure.

The Clausius Clapeyron equation is described as a way of describing a known discontinuous phase transformation that exists between two phases of matter of a single constituent.

This equation was named after Rudolf Clausius and Benoît Paul Émile Clapeyron.

It also states that a straight line does not exist between a liquid's temperature and its vapour pressure.

The equation also helps us to estimate the vapor pressure at another temperature.

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Answer:

39,810,717.06

Step-by-step explanation:

Question:

What is the value of x when the richter scale rating is 7.6? Round your answer to the nearest hundreth.

Mathematically, the rating of an earthquake typically refers to its magnitude on the Richter scale.

The Richter scale is a logarithmic scale that measures the amplitude of seismic waves produced by an earthquake. Each increase of one unit on the Richter scale represents a tenfold increase in the amplitude of the seismic waves and approximately 31.6 times more energy released.

A rating of 7.6 on the Richter scale indicates a significant and powerful earthquake. It is considered a "great" earthquake and can cause widespread damage over an extensive area. The extent of the damage can depend on various factors, including the depth of the earthquake, the distance from populated areas, and the local building infrastructure.

It's important to note that while the magnitude of an earthquake provides a measure of its energy release, it doesn't directly indicate the extent of the damage or the specific geographical area affected. The effects of an earthquake can vary depending on factors such as local geology, distance from the epicenter, and the population density of the area.

Mathematically, the Richter scale provides a standardized way to quantify and compare the magnitude of earthquakes, aiding in the understanding and analysis of seismic events.

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Answer:

x = 5

Step-by-step explanation:

The probability that the first three questions have the same answer choice is 1/4, since there are four answer choices and the instructor is randomly selecting the answers according to a discrete uniform distribution. This means that each answer choice has an equal probability of being chosen. Therefore, the probability of all three questions having the same answer is 1/4.

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Answer: No solution

Step-by-step explanation:

6x + 12 = 2(3x + 6)

Expand the right side:

6x + 12 = 6x + 6

Subtract 6x from both sides:

12 = 6

This is obviously not true, so there are no solutions to this equation :>

Answer:3

Step-by-step explanation:

Answer:

I think 7.2

Step-by-step explanation:

I multiply .6 to 12 and got that

The length of segment  DE in the given diagonals of the parallelogram is 16.

The length of segment  DE is calculated by applying properties of diagonals of a parallelogram.

The point where the diagonals of a parallelogram intersect divides each diagonal into two equal halves.

Based on this fact, we can set up the following equation and solve for length DE as follows;

BE = AE

x² - 48 = 16

x² = 16 + 48

x² = 64

x = √64

x = 8

The length of segment DE is calculated as follows;

DE = 2x

DE = 2 x 8

DE = 16

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Answer:

Three consecutive even integers would be N, N%2B2, and N%2B4.

Find three consecutive even integers such that

"6 times the sum of the first and the third""6%28N%2B%28N%2B4%29%29=6%282N%2B4%29=12N%2B24

"is" translates to "="

"8 less than 14 times the second":14%2A%28N%2B2%29-8=14N%2B28-8=14N%2B20

.

.

.

12N%2B24=14N%2B20

Solve for N.

Then find N%2B2 and N%2B4.

Step-by-step explanation:

Answer:

1. Well, to cross multiply them you multiply the numerator in the first fraction times the denominator in the second fraction, then you write that number down. ... The reason we cross multiply fractions is to compare them. Cross multiplying fractions tells us if two fractions are equal or which one is greater.

2. Cross multiplying fractions to find a missing numerator or denominator for equivalent fractions works because it is a shortcut for rearranging to isolate the variable.

Step-by-step explanation:

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take the space out

The specific value will depend on the range of y and the function cos(\(y^3\)).

To evaluate the double integral, we need to integrate with respect to both x and y over the given region bounded by y = 2, y = \(x^{2/4\), and the y-axis.

The region of integration is a triangle in the y-x plane, bounded by y = 2, y = \(x^{2/4\), and the y-axis. Let's denote this region as D.

First, we will integrate with respect to x, keeping y as a constant. The limits of x will be determined by the curves y = 2 and y = \(x^{2/4\). For y = 2, x will range from 0 to 2, and for y = \(x^{2/4\), x will range from 0 to 2√y.

So the inner integral with respect to x will be:

∫[0 to 2√y] 5\(x^3\)cos(\(y^3\)) dx

Next, we will integrate the above expression with respect to y over the range of y = 0 to y = 2, since the limits of y are determined by the region D.

So the final double integral will be:

∫[0 to 2] ∫[0 to 2√y] 5\(x^3\)cos(\(y^3\)) dx dy

This double integral can be evaluated using standard techniques of integration, such as substitution or integration by parts, to obtain the numerical value of the integral. Note that the specific value will depend on the range of y and the function cos(\(y^3\)).

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Answer:

1/8

Step-by-step explanation:

ingna ko kung wrong

nakasabot ka

Answer:

2(x+8)(x-5)

Step-by-step explanation:

2x^2 + 6x − 80

Factor out a 2

2(x^2 + 3x − 40)

What 2 numbers multiply to -40 and add to 3

8*-5 = -40

8+-5 = -3

2(x+8)(x-5)

The right answer is 2(x-5)(X+8)

please see the attached picture for full solution

Hope it helps

Good luck on your assignment...