Need help on this one problem plz!​

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Explanation:

The notation [tex]47^{\circ}4'[/tex] means "47 degrees, 4 minutes". The "minutes" isn't referring to a time value, but instead they are arc minutes. If we divide one degree into 60 equal pieces, then we form 60 arc minute slices. So in a sense, we are using a round analogue clock to help connect the two ideas.

We can convert to purely degrees through using this formula here

[tex]a^{\circ}b' = a + \frac{b}{60}[/tex]

So,

[tex]47^{\circ}4' = 47 + \frac{4}{60} \approx 47.06667^{\circ}[/tex]

and similarly,

[tex]22^{\circ}46' = 22+ \frac{46}{60} \approx 22.76667^{\circ}[/tex]

Now subtract the two results we got

47.06667-22.76667 = 24.3

The angular distance between the two cities is 24.3 degrees. By "angular distance" I basically mean how far you need to rotate your viewing angle when looking from city A to city B. Imagine that you're able to be situated at the center of the earth.

The circumference of the earth is

C = 2*pi*r

C = 2*pi*3960

C = 24,881.4138164311

which is approximate and the units are in miles. We multiply by the fraction 24.3/360 to find the arc distance along the curve that corresponds to the angle 24.3 degrees. This is because we don't want the whole circumference, but just a small fraction of it.

So (24.3/360)*24,881.4138164311 = 1,679.4954326091

This rounds to 1679

The distance between the two cities is about 1679 miles.

9514 1404 393

Answer:

  1679 miles

Step-by-step explanation:

One minute is 1/60 of a degree, so the difference in latitudes is ...

  47 4/60 -22 46/60 = 24 18/60 = 24.3 . . . degrees

The arc length is given by ...

  s = rθ . . . . . . r = radius, θ = angle in radians

180° is π radians, so the surface distance between the two cities is ...

  s = (3960 mi)(24.3×π/180) = 534.6π mi ≈ 1679.495 mi

The distance between City A and City B is about 1679 miles.

_____

Additional comment

As a good approximation, the distance is about 60 nautical miles per degree of latitude. Using that approximation, and converting from nautical miles to statute miles would give a distance of 1678 miles.

Answer:

1. -6

Step-by-step explanation:

a1 = 150

a2 = a1 - 4 = 150 - 4 = 146

a3 = a2 - 4 = a1 - 4 - 4 = 146 - 4 = 150 - 4 - 4 = 142

...

=>

an = a1 - (n-1)×4

=>

a40 = a1 - 39×4 = 150 - 156 = -6

Answer:

-2 and 3

Step-by-step explanation:

From the graph, the solution is the points where the curve cuts the x axis. From the graph, you can see that the equation cuts the x axis at two points that is at x=-2 and 3.

Hence the solutions to the equation is -2 and 3

Answer:

Yeah

Step-by-step explanation:

Answer:

32.5 feet long and 20 feet wide

Step-by-step explanation:

To solve for the length first, you have it measured as 26 in long and each 4 in is 5 ft so you can go ahead and divide 26 in by 4 in and that gives you 6.5 in so what we did was figure out how many 4 in were in 26 in and therefore we have a 6.5 and so just to match that to the 5 ft per each 4 in (in this case we have 6.5) so we multiply 6.5*5 and that equals 32.5 ft which is the length of the garden bed.

Next we are going to solve for the width which is 16 in wide in the scale and so again each 4 in is 5 ft so here again we're going to divide 16 in by 4 in and that equals 4 in and so again each 4 in is 5 ft so we're going to go ahead and multiply 4 * 5 and that gets you 20 ft which is the width of the garden bed.

Answer:

Part A: 320 ft²

Part B: 2,304 ft²

Step-by-step explanation:

Part A:

Area of one triangular face of the square pyramid = ½*base*height

base = 32 ft

height = 20 ft

Area = ½*32*20

Area = 320 ft²

Part B:

Total surface area of the square pyramid = area of the square base + area of the 4 triangular faces

= s² + 4(area of 1 triangular face)

s = 32 ft

area of 1 triangular face = 320 ft²

Total surface area = 32² + 4(320) = 1,024 + 1,280

= 2,304 ft²

Answer:

69

Step-by-step explanation:

xvusvsuvtuvqYSQY

Answer:

5t + 3 < 30

Step-by-step explanation:

Five times a number t is 5t.

Three more just means add 3 more to your first term (in this case it's 5t).

Less than thirty means not less than or equal to 30 but just less then 30.

Answer:

hello I cant help you right now try again later

Answer:

it seems like you already have this answered?

Answer:

data set 3 would have the least mean absolute deviation among the three sets since there is less spread of the data and the data values in set-3 lie close to the mean.

Step-by-step explanation:

The mean absolute deviation is a  measure of spread of the data.

If the data values in the given data set are widely spread then we obtain a higher mean absolute deviation.

if the data values of a given data set are close to each other i.e there is a less spread of the data and hence the mean absolute deviation will be low as the data values will lie close to the mean.

We are given three data set as:

set- 1             42, 48, 50, 88, 49

set- 2             63, 29, 35, 28, 30

set- 3                2, 5, 3, 8

Hence, we could observe that the data values in set 1 and set 2 are widely spread.

In set-1 the data value 88 is  much higher value as compared to other data values.

Similarly in set-2 the data value 63 is again a much higher value as compared to other data values.

Whereas in set-3 the data values are all closely related and there is not much spread in the data.

Answer:

Step-by-step explanation:

From the first sentence x (the number) is 2 more than another number (y). So, x+2=y. The sum of the squares of the two numbers is 42, meaning that [tex]\\ (x+2)^{2}[/tex]+[tex]y^{2}[/tex]=42. First, we square root the ENTIRE equation to get rid of the square. If you do one thing to one side, you have to do it to the other. After this, we have x+2+y=[tex]\sqrt{42}[/tex]. Now, we subtract 2 from the other side to isolate the variable. You can isolate either one but normally I go for x. Now we have x+y=[tex]\sqrt{42}[/tex]+2. Now, we want to get y to the other side so we subtract it from the left side and the right side which gives us x=-y+[tex]\sqrt{42}[/tex]+2. now we know what X is equal to. Now we plug in x for [tex]\\ (x+2)^{2}[/tex]+[tex]y^{2}[/tex]=42, which gives us          [tex](-y+\sqrt42}+2+2)^{2}[/tex]+[tex]y^{2}[/tex]=42. Now we only have one variable which is what we want. Next, we square root the entire thing to get rid of the squares, which gives us -y+[tex]\sqrt{42}[/tex]+4+y=[tex]\sqrt{42}[/tex]. I got lost in my work. I must have done something wrong I cant find out. If anyone wants to pick up where I left off go ahead but there's a timer and I have one minute left. I cant finish the problem in a minute. I'm sorry and hopefully I lead you somewhere.

The factorization of x² - 2x - 3 is  (x+1)(x-3).

The given quadratic equation is,

x² - 2x - 3

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:

ax² + bx + c = 0

Hence to factorize we can write the given quadratic equation as,

⇒ x² - 3x + x - 3

⇒ x(x-3) + (x - 3)

⇒ (x+1)(x-3)

Hence,

x² - 2x - 3 =  (x+1)(x-3)

To learn more about quadratic equation visit:

https://brainly.com/question/30098550

#SPJ6

Answer:

3 tier seats tickets

Step-by-step explanation:

Let the friends that bought floor seats be x and let the friends that bought tier seats be y.

Thus;

x + y = 12 - - - (eq 1)

Floor seats tickets cost $15 each, and tier seats tickets cost $70 each. The total cost of the tickets was $345. Thus;

15x + 70y = 345 - - - (eq 2)

Let's make x the subject in eq (1)

x = 12 - y

Putting this for x in eq 2 gives;

15(12 - y) + 70y = 345

180 - 15y + 70y = 345

55y = 345 - 180

55y = 165

y = 165/55

y = 3

Put 3 for y in x = 12 - y to get;

x = 12 - 3

x = 9

Thus, they purchased 9 floor seats tickets and 3 tier seats tickets

Answer:

(a) [tex]t= -1.540[/tex]

(b) [tex]0.10 < p < 0.20[/tex]

(c) Fail to reject [tex]H_o[/tex]

Step-by-step explanation:

Given

[tex]H_o: =18[/tex]       [tex]H_a: \ne 18[/tex]

[tex]n = 48[/tex]

[tex]\bar x = 17[/tex]

[tex]\sigma = 4.5[/tex]

Solving (a): The test statistic

This is calculated as:

[tex]t= \frac{\bar x - \mu_o}{\sigma/\sqrt n}[/tex]

So, we have:

[tex]t= \frac{17 - 18}{4.5/\sqrt{48}}[/tex]

[tex]t= \frac{- 1}{4.5/6.93}[/tex]

[tex]t= \frac{- 1}{0.6493}[/tex]

[tex]t= -1.540[/tex] --- approximated

Solving (b): Range of p value

First, calculate the degree of freedom (df)

[tex]df = n - 1[/tex]

[tex]df = 48 - 1[/tex]

[tex]df = 47[/tex]

Using:

[tex]\alpha = 0.05[/tex] --- significance level

The p value at: [tex]df = 47[/tex] is:

[tex]p = 0.065133[/tex]

and the range is:

[tex]0.05 * 2 < p < 2 * 0.10[/tex]

[tex]0.10 < p < 0.20[/tex]

Solving (c): The conclusion

Compare the p value to the level of significance value

We have:

[tex]p = 0.065133[/tex]

[tex]\alpha = 0.05[/tex]

By comparison:

[tex]p > \alpha[/tex]

because:

[tex]0.065133 > 0.05[/tex]

Hence, the conclusion is: fail to reject [tex]H_o[/tex]

Answer:

14

Step-by-step explanation:

that is the procedure above

Answer:

A.) 84π | B.) 546π/5

Step-by-step explanation:

A.)

V(Cone) = πr²(h/3) where r = radius and h = height.

r = d/2 where d = diameter.

r = 12/2 = 6

V(Cone) = π(6)²(7/3) = π(36)(7/3) = 84π

B.)

84π · 0.3 = 126π/5

84π + 126π/5 = 546π/5  

Answer:

perpendicular, negative reciprocal

Step-by-step explanation:

a negative and a positive slope. 1/5 is the opposite of 5

Answer:

The rate of decrease is: [tex]43.2mm^3/min[/tex]

Step-by-step explanation:

Given

[tex]l = 18mm[/tex]

[tex]\frac{dl}{dt} = -0.8mm/min[/tex] ---- We used minus because the rate is decreasing

Required

Rate of decrease when: [tex]l = 18mm[/tex]

The volume of the cube is:

[tex]V = l^3[/tex]

Differentiate

[tex]\frac{dV}{dl} = 3l^2[/tex]

Make dV the subject

[tex]dV = 3l^2 \cdot dl[/tex]

Divide both sides by dt

[tex]\frac{dV}{dt} = 3l^2 \cdot \frac{dl}{dt}[/tex]

Given that: [tex]l = 18mm[/tex] and [tex]\frac{dl}{dt} = -0.8mm/min[/tex]

[tex]\frac{dV}{dt} = 3 * (18mm)^2 * (-0.8mm/min)[/tex]

[tex]\frac{dV}{dt} = 3 * 18 *-0.8mm^3/min[/tex]

[tex]\frac{dV}{dt} = -43.2mm^3/min[/tex]

Hence, the rate of decrease is: 43.2mm^3/min

Answer:

its B homie

Step-by-step explanation:

U stuped

Answer:

8038.65

Step-by-step explanation:

[tex]4000(1+\frac{.07}{12})^{12*10}=8038.65[/tex]

Answer:

28 square centimeters

Step-by-step explanation:

The area of a trapezoid (formula):

(a + b) ÷ 2 x h

Where a & b are the bases, and h is height.

Use formula with given measurements:

(9 + 5) ÷ 2 x 4 = 28

Area is measured in square centimeters

(centimeters in this case)

Therefore the area if the trapezoid is 28 cm^2

I really hope this helps!

Answer:

Step-by-step explanation:has no solution

Answer:

[tex](x - 6)^2 + (y - 2)^2 = 4[/tex]

Step-by-step explanation:

Required

The equation of the circle

The equation of a circle is:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

Where:

[tex]Center = (h,k)[/tex]

[tex]radius \to r[/tex]

From the graph, we have

[tex](h,k) = (6,2)[/tex]

[tex]r = 2[/tex]

So:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex] becomes

[tex](x - 6)^2 + (y - 2)^2 = 2^2[/tex]

[tex](x - 6)^2 + (y - 2)^2 = 4[/tex]

Answer:

1.

[tex]midpoint = ( \frac{ - 4 + 6}{2} , \: \frac{ - 12 + 8}{2} ) \\ = (1, \: - 2)[/tex]

2.

[tex]distance = \sqrt{ {( - 4 - 6)}^{2} + {( - 12 - 8)}^{2} } \\ = \sqrt{500} \\ = 22.4 \: units[/tex]

Answer:

Kelvin’s error is that when he got the final result, that was the amount that was marked down. He still needed to find the price after the original price was marked down by that number wich in this case is $18.39. So using one of his steps, 30.65(0.6)=18.39. We can subtract 30.65 (original price) and 18.39 (mark down price). You’d get 11.26 dollars as the final price.

Answer:

-3, - 2, - 1, 0, 1, 2, 3, 4

Step-by-step explanation:

The blue line of the number line can have its inequality range written as :

Since both startibg and endpoints are shaded :

-1 ≤ x ≤ 4

The red line can also be written as :

Only the start is shaded:

-3 ≤ x < 2

Listing out the values :

Blue line :-1 ≤ x ≤ 4

-1, 0, 1, 2, 3, 4

The red line : -3 ≤ x < 2

-3, - 2, - 1, 0, 1, 2

Combining both values :

-3, - 2, - 1, 0, 1, 2, 3, 4

Answer:

B). The left and right-hand edges of the box will be approximately equal distances from the median.

Step-by-step explanation:

The 'symmetry' si described as a 'satisfying arrangement of a balanced distribution of the elements of the whole' while a 'symmetry group' is characterized as a group whose elements are all the transformations under which a given object remains invariant and whose group operation is function composition.

As per the given conditions, the second statement asserts a true claim regarding the keeping of edges of left, as well as, right-hand side's boxes at equal intervals from the median. This will help in making the arrangement fulfilling while keeping a little scope for the variation. Thus, option B is the correct answer.

9514 1404 393

Answer:

  3x^2

Step-by-step explanation:

Add coefficients of like terms.

  (x^2 +2x -1) +(2x^2 -2x +1)

  = (1 +2)x^2 +(2 -2)x +(-1 +1)

  = 3x^2 +0x +0

  = 3x^2

Answer:

3x^2

Step-by-step explanation:

(x^2+2x−1)+(2x^2−2x+1)

Combine x^2 and 2x^2 to get 3x^2.

3x^2+2x−1−2x+1

Combine 2x and −2x to get 0.

3x ^2−1+1

Add −1 and 1 to get 0.

3x^2

Answer:

1.) 9.2

2.)

625

633

the dealer

8.81

Step-by-step explanation:

I'm gonna assume that cm= compounded monthly

1.)

effective rate: .153/12= .01275

x= payments

[tex]2590.67=300*\frac{1-(1+.01275)^{-x}}{.01275}\\.110103476=1-1.01275^{-x}\\.889896525=1.01275^{-x}\\\log_{1.01275}.889896525=-x\\x=9.207[/tex]

2.)

If there is no interest rate attached to financing through the deal the payment is just

37500/60 = 625

The monthly payment from the bank has a present value of 37500-3000=34500

and the effective rate is .039/12= .00325

[tex]34500=x\frac{1-(1.00325)^{-60}}{.00325}\\34500=54.43234738x\\x=633.81[/tex]

Finally, the amount we save is just the difference

633.81-625=8.81

Answer:

1.) 9.2

2.)

625

633

the dealer

8.81

Step-by-step explanation:

I'm gonna assume that cm= compounded monthly

1.)

effective rate: .153/12= .01275

x= payments

\begin{gathered}2590.67=300*\frac{1-(1+.01275)^{-x}}{.01275}\\.110103476=1-1.01275^{-x}\\.889896525=1.01275^{-x}\\\log_{1.01275}.889896525=-x\\x=9.207\end{gathered}

2590.67=300∗

.01275

1−(1+.01275)

−x

.110103476=1−1.01275

−x

.889896525=1.01275

−x

log

1.01275

.889896525=−x

x=9.207

2.)

If there is no interest rate attached to financing through the deal the payment is just

37500/60 = 625

The monthly payment from the bank has a present value of 37500-3000=34500

and the effective rate is .039/12= .00325

\begin{gathered}34500=x\frac{1-(1.00325)^{-60}}{.00325}\\34500=54.43234738x\\x=633.81\end{gathered}

34500=x

.00325

1−(1.00325)

−60

34500=54.43234738x

x=633.81

Finally, the amount we save is just the difference

633.81-625=8.81

Answer:

144 cm³ or 144 cubic centimeters

Step-by-step explanation:

Volume = Area triangle * height

Area triangle = 1/2 ( 3 x 8) = 1/2( 24) = 12

12 x 12 = 144 cm³

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-Chetan K