A planet rotates through one complete revolution every 26 hours. Since the axis of rotation is perpendicular to the equator, you can think of a person standing on the equator as standing on the edge of a disc that is rotating through one complete revolution every 26 hours. Find the angular velocity of a person standing on the equator.

Answer:

The rate of depreciation is 11.87% per year.

Step-by-step explanation:

Given that a brand new car was purchased for $ 28,000 in year 2000, and the car value has dropped to $ 20,000 in year 2003, to determine what could be considered as the rate of depreciation, the following calculation must be performed:

20,000 x (1 + X / 1) ^ 3 = 28,000

20,000 x X ^ 3 = 28,000

20,000X ^ 3 = 28,000

X = 1.1187

Therefore, the rate of depreciation is 11.87% per year.

Answer:ni

Step-by-step explanation:

3 arrows pointing up

because its like 123454321

Answer:

Step-by-step explanation:

1). If the given triangles are similar their corresponding sides will be proportional.

[tex]\frac{8}{a}= \frac{8}{12}=\frac{5}{b}[/tex]

[tex]\frac{8}{a}= \frac{8}{12}[/tex]

[tex]a=\frac{12\times 8}{8}[/tex]

[tex]a=12[/tex]

[tex]\frac{8}{12}=\frac{5}{b}[/tex]

[tex]b=\frac{5\times 12}{8}[/tex]

[tex]b=7.5[/tex]

2). By using proportional relationship in the similar polygons,

[tex]\frac{3}{c}=\frac{6}{8}[/tex]

[tex]c=\frac{8\times 3}{6}[/tex]

[tex]c=4[/tex]

d = 8

c = e = 4

3). If the pentagons are similar their corresponding sides will be proportional.

[tex]\frac{6}{g}=\frac{8}{18}=\frac{10}{h}= \frac{8}{I}=\frac{6}{f}[/tex]

[tex]\frac{6}{g}=\frac{8}{18}[/tex]

[tex]g=\frac{18\times 6}{8}[/tex]

[tex]g=13.5[/tex]

[tex]\frac{8}{18}=\frac{10}{h}[/tex]

[tex]h=22.5[/tex]

[tex]\frac{8}{18}=\frac{6}{f}[/tex]

[tex]f=13.5[/tex]

[tex]\frac{8}{18}= \frac{8}{I}[/tex]

[tex]I=18[/tex]

Step-by-step explanation:

It's C

I hope it helped:)

Answer:

28 CD and 12 Video

Step-by-step explanation:

6 (x) + 4 (y) = 184

6 (28) + 4 (12) =184

168 + 48 = 184

Answer:

Step-by-step explanation:

x+35=2x(opposite angles of a parallelogram are equal)

35=2x-x

35=x

Answer:

94 square inches I don't have an explanation

So this is complicated, but to get a general idea simple we use common sense and say its bigger than 4, since its length is bigger than the supposed 4 length. So then we get  the options 6, 5, and 24. Now we can do some basic math and figure that the circle radius is around 4 so its probably 6 or 5. Slim change of 24.

People who did the physical math can check it with my answer.

Answer:

[tex]A_{\Delta ABP}=\sin \theta[/tex]

Step-by-step explanation:

Let the center of the circle be O.

Recall that the area of a triangle can be given by:

[tex]\displaystyle A=\frac{1}{2} ab\sin C[/tex]

Where C is the angle between the two sides.

ΔABP is equal to the sum of ΔAPO and ΔBOP.

Let a = OP and b = OB. Since this is the unit circle and PO and BO are radii, they both equal one. C will be θ. Hence, the area of ΔBOP is:

[tex]\displaystyle A_{\Delta BOP}=\frac{1}{2}(1)(1)\sin \theta=\frac{1}{2}\sin\theta[/tex]

For ΔAPO, we can use the two sides OP and OA. Again, they are the radii of the unit circle, so they equal one. The angle in this case will be π - θ radians. Hence:

[tex]\displaystyle A_{\Delta APO}=\frac{1}{2}(1)(1)\sin\left(\pi -\theta\right)=\frac{1}{2}\sin\left(\pi -\theta\right)[/tex]

However, note that sin(π - θ) = sin(θ). Hence:

[tex]\displaystyle A_{\Delta APO}=\frac{1}{2}\sin\left(\theta\right)[/tex]

Hence, the area of ΔABP is:

[tex]\displaystyle A_{\Delta ABP}=\frac{1}{2}\sin \theta+\frac{1}{2}\sin\theta =\sin \theta[/tex]

Comparing the standard deviations of each distribution, you have blue < red < yellow.

For any normally distributed random variable X with mean µ and standard deviation σ, we have the property that

Pr[|X - µ| ≤ σ] ≈ 68%

In other words, roughly 68% of a normal distribution lies within 1 standard deviation of the mean. This means the plot of the density of a distribution with a smaller standard deviation forms a tighter peak (like the blue curve), whereas a larger standard deviation would be indicated by a more dispersed, flattened curve (like the yellow one).

It is A) Slope: 2, y-intercept: -20

Answer:

110

Step-by-step explanation:

Supplementary angles add to 180

3x+5  +2x = 180

Combine like terms

5x +5 = 180

Subtract 5 from each side

5x = 175

Divide each side by 5

5x/5 = 175/5

x =35

DEF = 3x+5

    = 3*35 +5

   = 105+5

  = 110

Answer: d. 0.55

Step-by-step explanation:

The given probability distribution:

Number of Goals     0            1            2          3           4

Probability             .05           .15        .35       .30           .15

The probability that in a given game the Lions will score less than 3 goals

= probability that in a given game the Lions will score less than or equal to 2

= 0.5+0.15+0.35

= 0.55

Hence, the correct option is d. 0.55

Answer:

the answer to this is a negative association.

Answer:

y = -5 × 1 + 2

Step-by-step explanation:

Answer:

4/4

Step-by-step explanation:

5/4 and so on with other numer that is higher than 3/4 lol

Answer:

there are 3 adults and 8 children

Step-by-step explanation:

8*3 (3=Adults)=$24

5*8 (8 children)=$40

24+40=$64

Answer:

9.83cm

Step-by-step explanation:

Since we are not asked what to look for. We can find the height of the wall.

Let the height of the wall be H

Given

Length of the ladder l = 12fot

Angle of elevation = 55degrees

Required

Height of wall H

Using the SOH CAH TOA identity

SIn theta = opp/hyp

Sin 55 = H/12

H - 12sin55

H = 12(0.8192)

H = 9.83cm

Hence the height of the ladder is 9.83cm

Step-by-step explanation:

[tex](x + 5)(x - 2) \geqslant 0[/tex]

[tex]x + 5 = 0 \\ x \geqslant - 5 \\ x - 2 = 0 \\ x \geqslant 2[/tex]

The solution of the inequality is x  ≥ -5 and x  ≥ 2.

The graph of the number line is given in the attached image.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

Given:

An inequality (x+5)(x-2) ≥ 0

Solving further,

(x+5) ≥ 0 and (x -2)  ≥ 0

x  ≥ -5 and x  ≥ 2

Therefore, the solution of the inequality is x  ≥ -5 and x  ≥ 2.

To learn more about the inequality;

brainly.com/question/28823603

#SPJ2

Answer:

Yes, I agree

It is $80

[tex]0.5 - ( - 10.5 \times 5) + 40.5[/tex] = [tex]\boxed{93.5}[/tex]

A. 93.5 ✅

Step-by-step explanation:-

[tex]0.5 - ( - 10.5 \times 5) + 40.5 \\ = 0.5 - ( - 52.5) + 40.5 \\ = 0.5 + 52.5 + 40.5 \\ = 93.5[/tex]

Note:-

[tex]\sf\purple{BODMAS\: rule.}[/tex]

B = Brackets

O = Orders

D = Division

M = Multiplication

A = Addition

S = Subtraction

[tex]\sf\red{(-\:x\:-)\:=\:+}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]

Answer:

93.5

Step-by-step explanation:

See the steps below:)

Answer: y=55  x=6

Step-by-step explanation: Because of the two equivalent lines in lines DE and FE we know that the angles D and F must be equal, therefore y is 55. And now we know that angles D and F add up to 110 and because all of the angles in a triangle add up to 180, angle E must equal 70.

Angle E-        (11x+4)=70

                            -4   -4

                       11x=66

                         divide both sides by 11

                            x=6

Step-by-step explanation:

put sides into Pythagorean theorem

do algebra

find solution

Answer:

x = -7,   y = 5

Step-by-step explanation:

a) x + 9y = 38,   b) 3x + 7y = 14

From a)

x = 38 - 9y ---- (Equation 1)

From b)

{3*(38 - 9y)} + 7y = 14 ----- (From equation 1)

114 - 27y + 7y -14 = 0

100 - 20y = 0

20y = 100

y = 5

From a)

x + (9*5) = 38  (substituting the value of y = 5)

x + 45 = 38

x = 38 - 45

x = -7

Hope, this will help

Answer:     -5

Step-by-step explanation:

Answer:

b = -5

Step-by-step explanation:

therefore -5 is the answer

Answer:

4 bottles i think but you should check with someone else too

Answer:

4 bottles i think but you should check with someone else too

Step-by-step explanation: