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What is the area of a sector with a central angle of 45° and a diameter of 5. 6 in. ? Use 3. 14 for π and round your final answer to the nearest hundredth. Enter your answer as a decimal in the box. What is the area of a sector with a central angle of 120° and a radius of 18. 4 m? Use 3. 14 for π and round your final answer to the nearest hundredth. Enter your answer as a decimal in the box

The ladder needs to be 34.3m long from tree you to get to get the cat.

We must determine the hypotenuse in this right triangle, which is the side that is opposite the triangle's 90° angle. When the neighboring side is 23 meters away, the elevation angle is  54°

Suppose Hypotenuse equals h.

Given, the base is 23m

Using trigonometry,

tan θ = Base / hypotenuse

tan 54° = 23 / h

⇒ 0.67 = 23 / h

⇒ h = 23 / 0.67

⇒ h = 34.3

So, the ladder needs to be 34.3m away in order to reach cat.

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Answer:

17/9; √6; √15; √30; 3³.

Step-by-step explanation:

17/9≈1.9; √6≈2.45; √15≈3.9; √30≈5.5; 3³=27.

Answer:

True

Step-by-step explanation:

It means the perimeter of it is 5 times the length of its side.

The answer is yes, the statement is TRUE.

Answer:

-43

hope this helps

have a good day :)

Step-by-step explanation:

3+4=7

7-50=-43

Answer:

Step-by-step explanation:

(3+4)-50

=7-50

=-43

the magnitude of the magnetic field at the point p which is equidistant from the wire is 170.833*10^-7

Given ,

Current = 4.10 I

Resistance = 4.80cm = 0.048m

Constant = 4π*10^-7 h/m

To determine magnetic field

B=μ*I / 2πR

= 4π*10^-7 * 4.10  /  2π * 0.048

=8.20*10^-7 / 0.048

= 170.833*10^-7

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Answer:

a.4

Step-by-step explanation:

because

Answer:

1.0954.

Step-by-step explanation:

Standard error  =  std dev / √n

=  6 / √30

= 1.0954.

Answer:

uhhh is there one what area

Step-by-step explanation:

Answer:

(1/6)

Step-by-step explanation:

ℎ 1/6

There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.

To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.

Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.

Therefore, the number of different votes possible is m * (m-1) / 2.

In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.

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The calculated value of the tenth term, b₁₀ of the sequence is 78732

From the question, we have the following parameters that can be used in our computation:

b₁ = -4

bₙ = 3bₙ₋₁

The above means that

We multiply the current term by 4 to get the next term

So, we have

b₂ = 3 * 4 = 12

b₃ = 3 * 12 = 36

b₄ = 3 * 36 = 108

b₅ = 3 * 108 = 324

b₆ = 3 * 324 = 972

b₇ = 3 * 972 = 2916

b₈ = 3 * 2916 = 8748

b₉ = 3 * 8748 = 26244

b₁₀ = 3 * 26244 = 78732

Hence, the tenth term, b₁₀ of the sequence is 78732

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Answer:

5^-18

Step-by-step explanation:

here is the answer please mark me as the brainliest

Important notice:

/\2 = Power 2

Answer:

D. 1,047.2

Step-by-step explanation:

The volume of the grain silo can be found by adding the volumes of all the solids of which it is composed.

The silo is made up of a cylinder with the height of 10 feet and base radius of 5 feet and two cones, each having the height of 5 feet and base radius of 5 feet.

The formulas volume of cylinder πr /\2 h and volume of cone 1/3  πr/\2h can be used to determine the tatol volume of the silo.

Since the two cones have identical dimensions, the total volume, in cubic feet, of the silo is:

V = π(5)/\2 (10) + (2) ( 1/3) π(5) /\2 (5)

= ( 4/3 ) (250)π

= 1,047.2 cubic feet.

Answer:

2100

Step-by-step explanation:

10,000 x 21%

10000 x 0.21 = 2100

To find the positive critical value for a two-tailed test with a significance level of α = 0.05, we need to find the z-score corresponding to an area of (1 - α/2) in the upper tail of the standard normal distribution.

Since α = 0.05, we divide it by 2 to get α/2 = 0.025.

Using a standard normal distribution table or a statistical calculator, we can find the z-score corresponding to an area of 0.025 in the upper tail.

The positive critical value, denoted as zα/2, is approximately 1.96 (rounded to three decimal places).

Therefore, zα/2 = 1.96.

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The distance d between the complex number -3 + 2i and 0 is √13.

To find the distance d between the complex number -3 + 2i and 0, you can use the formula for the distance between two complex numbers, which is:

d = √((x2 - x1)² + (y2 - y1)²)

In this case, the first complex number is -3 + 2i, so x1 = -3 and y1 = 2. The second complex number is 0, which can be represented as 0 + 0i, so x2 = 0 and y2 = 0.

Now, plug in these values into the formula:

d = √((0 - (-3))² + (0 - 2)²)

d = √((3)² + (-2)²)

d = √(9 + 4)

d = √13

So the distance d between the complex number -3 + 2i and 0 is √13.

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Answer:

1005

Step-by-step explanation:

V=πr^2h

=3.14*4^2*20

=1004.8

=1005

Answer:

1/7

Step-by-step explanation:

Another word for multiplicative inverse is reciprocal

It is the number  that when multiplied by the original number gives you one

7 * x = 1

Divide by 7

7x/7 = 1/7

x = 1/7

The multiplicative inverse of 7 is 1/7

Answer:

The multiplicative inverse of 7 is 1/7

Step-by-step explanation:

A reciprocal is one of a pair of numbers that when multiplied with another number equals the number 1. For example, if you have the number 7, the multiplicative inverse, or reciprocal, would be 1/7 because when you multiply 7 and 1/7 together, you get 1.

Compute the length of the curve r(t)=3ti+2tj+(t2−4)k over the interval 0≤t≤8 HINT use the formula ∫t2+a2​dt=21​tt2+a2​+21​a2ln(t+t2+a2​)+C

To compute the length of the curve given by the vector function r(t) = 3ti + 2tj + (t²2 - 4)k over the interval 0 ≤ t ≤ 8, we can use the arc length formula:

L = ∫√(dx/dt)²2 + (dy/dt)²2 + (dz/dt)²2 dt

First, let's find the derivatives of x, y, and z with respect to t:

dx/dt = 3

dy/dt = 2

dz/dt = 2t

Now, we can substitute these derivatives into the arc length formula:

L = ∫√(3²2 + 2²2 + (2t)²2) dt

L = ∫√(9 + 4 + 4t²2) dt

L = ∫√(13 + 4t²2) dt

To integrate this expression, we can use the hint given:

∫√(13 + 4t²2) dt = 1/2 ∫(1 + 4t²2)²(1/2) dt

                  = 1/2 [t√(1 + 4t²2) + (1/4)ln(t + √(1 + 4t²2)) + C]

Now we can evaluate this expression over the interval 0 ≤ t ≤ 8:

L = 1/2 [(8√(1 + 4(8²2)) + (1/4)ln(8 + √(1 + 4(8²2)))) - (0√(1 + 4(0²2)) + (1/4)ln(0 + √(1 + 4(0²2))))]

Simplifying further will give the length of the curve.

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Answer:

the graph has opposite x intercepts of b and -b. the graph has y intercepts at –b². the graph of the function symmetrical about the y-axis.

Step-by-step explanation:

Answer:

y=3x-1

Step-by-step explanation:

Use slope intercept form (y=mx+b) to plug in the values for m and b

The value of the expression 1/21 * 100 is 100/21

From the question, we have the following parameters that can be used in our computation:

1/21x100

Express the fraction expression properly

So, we have the following representation

1/21 * 100

Evaluate the products

This gives

100/21

Hence, the solution is 100/21

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Answer:

your answer should 1\3x

Step-by-step explanation:

Answer:

y=5

Step-by-step explanation:

Let A(2,0),B(0,92)

Let A(2,0),B(0,92)and let mid-point be C(1,3p)

Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C

Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=⎝⎜⎜⎛22+0,20+92⎠⎟⎟⎞

Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=⎝⎜⎜⎛22+0,20+92⎠⎟⎟⎞⇒(1,3p)=(1,91)

Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=⎝⎜⎜⎛22+0,20+92⎠⎟⎟⎞⇒(1,3p)=(1,91)Comparing y-coordinate

Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=⎝⎜⎜⎛22+0,20+92⎠⎟⎟⎞⇒(1,3p)=(1,91)Comparing y-coordinate3p=91

Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=⎝⎜⎜⎛22+0,20+92⎠⎟⎟⎞⇒(1,3p)=(1,91)Comparing y-coordinate3p=91∴p=31

Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=⎝⎜⎜⎛22+0,20+92⎠⎟⎟⎞⇒(1,3p)=(1,91)Comparing y-coordinate3p=91∴p=31We need to show that line 5x+3y+2=0 passes through point (−1,3p)

Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=⎝⎜⎜⎛22+0,20+92⎠⎟⎟⎞⇒(1,3p)=(1,91)Comparing y-coordinate3p=91∴p=31We need to show that line 5x+3y+2=0 passes through point (−1,3p)Point =(−1,3p)=(−1,3×31)=(−1,1)

Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=⎝⎜⎜⎛22+0,20+92⎠⎟⎟⎞⇒(1,3p)=(1,91)Comparing y-coordinate3p=91∴p=31We need to show that line 5x+3y+2=0 passes through point (−1,3p)Point =(−1,3p)=(−1,3×31)=(−1,1)Putting (−1,1) in line

Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=⎝⎜⎜⎛22+0,20+92⎠⎟⎟⎞⇒(1,3p)=(1,91)Comparing y-coordinate3p=91∴p=31We need to show that line 5x+3y+2=0 passes through point (−1,3p)Point =(−1,3p)=(−1,3×31)=(−1,1)Putting (−1,1) in line5x+3y+2=0

Let A(2,0),B(0,92)and let mid-point be C(1,3p)Finding coordinates of C(1,3p)=⎝⎜⎜⎛22+0,20+92⎠⎟⎟⎞⇒(1,3p)=(1,91)Comparing y-coordinate3p=91∴p=31We need to show that line 5x+3y+2=0 passes through point (−1,3p)Point =(−1,3p)=(−1,3×31)=(−1,1)Putting (−1,1) in line5x+3y+2=0⇒5(−1)+3(1)+2=0

Answer:

Kindly check explanation

Step-by-step explanation:

Given the expression :

Jacob's yearly income :

2000x + 3000 ; x = number of hours worked per week.

Carlos income :

3800x - 40000

Managers prediction = 35

Jacob.: 2000(35) + 3000 = 73000

Carlos : 3800(35) - 40000 = 93000

Carlos will earn more than Jacob given the manager's prediction.

Number of hours required so they can earn the same amount :

2000x + 3000 = 3800x - 40000

3000 + 40000 = 3800x - 2000x

43000 = 1800x

x = 43000/1800

x = 23.88

x = 24 hours

Answer:

<FLI=134

Step-by-step explanation:

500, 510, 520.20

500/100 = 5 or 1% of 500

5 x 2 = 10 or 2% of 500

500 + 10 = 510

From 500 to 510, we can see that it increase by 2%.

510/100 = 5.1 or 1% of 510

5.1 x 2 = 10.2 or 2% of 510

510 + 10.2 = 520.20.

From 510 to 520.20, we can see that it increase by 2%.

We can conclude that the investment is steadily going up by 2%.