While riding her bike to the ocean and back home 6 times, Melissa timed herself at 42min, 46min, 52min, 57min, 59min, and 55min. She had set a goal of averaging 51 minutes for her rides. How many minutes will she need to spend on her seventh ride to attain her goal?

Answer:

Solution given:

4x+3x=10x-45[exterior angle is equal to the sum of two opposite interior angle]

45=10x-7x

x=45/3

x=15

now.

<B=4x=4×15=60° is your answer

The required measure of ∠B is 60° for the given triangle.

An exterior Angle is defined as an angle produced on the outside of a polygon by extending the sides of the polygon.

According to the shown figure, we have:

The external angle is ∠BCG = 10x - 45.

And, two interior angles as ∠A = 3x, and ∠B = 4x.

As we know that the sum of two opposite interior angles equals the exterior angle.

So, we can be written as follows:

4x + 3x = 10x - 45

45 = 10x - 7x

x = 45/3

x = 15

So, the measure of ∠B is:

∠B = 4x

∠B = 4 × 15

∠B = 60°

Thus, the required measure of ∠B is 60°.

Learn more about the exterior angles here :

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Answer:

[tex]A=\dfrac{3.14r^2}{2}[/tex]

Step-by-step explanation:

The area of a circle is given by :

[tex]A=\pi r^2[/tex]

Where

r is the radius of the circle.

If we talk about the area of half of the circle, it means we have to half the area such that,

[tex]A=\dfrac{\pi r^2}{2}\\\\or\\\\A=\dfrac{3.14r^2}{2}[/tex]

Hence, this is the required solution.

Answer:

If the transversal cuts across parallel lines (the usual case) then alternate exterior angles have the same measure. So in the figure above, as you move points A or B, the two alternate angles shown always have the same measure.

Step-by-step explanation:

Hope this helps

Answer:

Alhaji Shehu Shagari

Step-by-step explanation:

Alhaji Shehu Shagari the first Democratic elected president of Nigeria, He was elected in October 1979. He contested under the The National Party of Nigeria. Prior to that time, Nigeria had been under military rule for more than 13 years.

In December 1983, there was a military coup and he was overthrown.

Answer:

B (false)

Step-by-step explanation:

it is 0.056

Answer:

[tex]Pr = \frac{1}{26}[/tex]

Step-by-step explanation:

Given

In a deck of card, we have:

[tex]Cards = 52[/tex]

[tex]King[Heart] = 1[/tex]

[tex]Queen[Spade] = 1[/tex]

Required

The probability of obtaining a king of heart or a queen of spade.

The probability of king of heart is:

[tex]P(King[Heart]) = \frac{n(King[Heart])}{Cards}[/tex]

[tex]P(King[Heart]) = \frac{1}{52}[/tex]

The probability of queen of spade is:

[tex]P(Queen[Spade]) = \frac{n(Queen[Spade])}{Cards}[/tex]

[tex]P(Queen[Spade]) = \frac{1}{52}[/tex]

The required probability of obtaining a king of heart or a queen of spade. is:

[tex]Pr = P(King[Heart]) + P(Queen[Spade])[/tex]

[tex]Pr = \frac{1}{52}+ \frac{1}{52}[/tex]

Take LCM

[tex]Pr = \frac{1+1}{52}[/tex]

[tex]Pr = \frac{2}{52}[/tex]

Simplify

[tex]Pr = \frac{1}{26}[/tex]

9514 1404 393

Answer:

  x = -9 (as you know)

Step-by-step explanation:

  [tex]\log_6\dfrac{1}{6}=\dfrac{x}{9}\\\\\log_6{(6^{-1})}=\dfrac{x}{9}\\\\-1=\dfrac{x}{9}\\\\x=(-1)(9)=\boxed{-9}[/tex]

_____

I find it helpful to remember that a logarithm is an exponent.

  [tex]\log_a(a^b)=b[/tex]

Answer:

n = 6

Step-by-step explanation:

2 = [tex]\frac{n}{3}[/tex]

multiply both sides by 3

=> n = 6

Answer:

n = 6

Step-by-step explanation:

If 2 = n/3, then n = 6, because 3 times 2 is 6 (2 of 3 is 6)

(side note, this might not be what you are looking for soo)

Answer:

x = 3

Step-by-step explanation:

Once again we want to use the relationship stated earlier

Where A * B = C * D

Once again imagine that the segments in the given problem have letters

A = x

B = 12

C = x + 1

D = 9

Now we create an equation using the relationship

12 * x = 9(x+1)

now we solve using basic algebra

step 1 distribute the 9 to the x and the 1

9 * x = 9x

9 * 1 = 9

now we have 12x = 9x + 9

step 2 subtract 9x from each side

12x - 9x = 3x

9x - 9x cancels out

now we have 3x = 9

step 3 divide each side by 3

3x/3=x

9/3=3

we're left with x = 3

Answer:

x = 3 / C. 3

Step-by-step explanation:

Hope this helps

Answer:

2

Step-by-step explanation:

because it can find the circumference

Answer:

here you go............

Step-by-step explanation:

I hope it helped

The correct answer is 317.

The sum of the first 8 terms of the series, to the nearest integer is,

⇒ S₈ = 317

An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.

Given that;

The series is,

⇒ 16, 20, 25,

Now, We get;

Common ratio = 20 / 16 = 5 / 4

And, 25 / 20 = 5 / 4

Thus, The series is geometric series.

Hence, The sum of the first 8 terms of the series, to the nearest integer is,

⇒ S₈ = 16 ((5/4)⁸ - 1) / (5/4 - 1)

⇒ S₈ = 16 (390625/65,536 - 1) / (1/4)

⇒ S₈ = 16 × 4 (325,089 / 65,536)

⇒ S₈ = 317.46

⇒ S₈ = 317

Thus, The sum of the first 8 terms of the series, to the nearest integer is,

⇒ S₈ = 317

Learn more about the geometric sequence visit:

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Answer:

$10.71

Step-by-step explanation:

[tex]\frac{3.75}{y} =\frac{35}{100}[/tex]

y × 35 = 3.75 × 100

35y = 375

35y ÷ 35 = 375 ÷ 35

[tex]y=10\frac{5}{7}[/tex]

y = 10.7142857143

10.7142857143 round to 10.71

Answer:

The answer would be D. There's 2% more students taking Italian at School A, not 2 more students total.

Answer:

A) 6

Step-by-step explanation:

Answer:

2. A) 6

Step-by-step explanation:

#CarryOnLearning

Complete question :

a. Of less than$720?

b. Of more than $840?

c. Between $680 and $760?

Answer:

0.500 ; 0.0013 ; 0.6827

Step-by-step explanation:

Given that :

Mean, μ = 720

Standard deviation, σ = 40

P(Z < x)

x = (x < 720)

Obtain the standardized value of x

P(x < 720) = (x - μ) / σ

P(x < 720) = (720 - 720) / 40

P(x < 720) = 0

P(Z < 0) = 0.5

B.) More than $840

P(x > 840)

P(x > 840) = (x - μ) / σ

P(x > 840) = (840 - 720) / 40

P(x > 840) = 120 / 40 = 3

P(Z > 3) = 0.0013499 (Z probability calculator)

c. Between $680 and $760?

P(760 < x < 680)

P(760 < x < 680) = ((x - μ) / σ) - ((x - μ) / σ)

P(760 < x < 680) = ((760 - 720) / 40) - (680 - 720) / 40)) = P( Z < - 1) - P(Z < - 1)

P(680 < x < 760) = 0.84134 - 0.15866 = 0.68268

Answer:

-20/12 as an example there are many others

Answer:

tha answer is c

Step-by-step explanation:

Answer:

31 1/2 yd 2

Step-by-step explanation:

4*6=24

3*5= 15 15/2 = 7 1/2

24+7 1/2 = 31 1/2

Answer:

(7,-1)because it is problem of vector lesson so that we have to use formula of vector

Answer:

a) 3.625 or [tex]\frac{29}{8}[/tex]

b) 7.05 or [tex]\frac{141}{20}[/tex]

Answer:

[tex]\displaystyle \cos(\alpha+\beta)=\frac{120+8\sqrt{161}}{255}[/tex]

Step-by-step explanation:

We are given the conditions:

[tex]\displaystyle \sin(\alpha)=-\frac{8}{17}\text{ and } \cos(\beta)=-\frac{8}{15}[/tex]

Where α is in QIII and β is in QII and we want to find the exact value of cos(α + β).

The first ratio gives us the opposite side and the hypotenuse with respect to α . Then the adjacent side is (we can ignore negatives):

[tex]a=\sqrt{(17)^2-(8)^2}=15[/tex]

The second ratio gives us the adjacent side and the hypotenuse with respect to β. Then the opposite side is:

[tex]o=\sqrt{(15)^2-(8)^2}=\sqrt{161}[/tex]

Therefore, for α, ignoring negatives, the adjacent side is 15, the opposite side is 8, and the hypotenuse is 17.

And for β, ignoring negatives, the adjacent side is 8, the opposite side is √(161), and the hypotenuse is 15.

We can rewrite our expression as:

[tex]\displaystyle \cos(\alpha+\beta)=\cos(\alpha)\cos(\beta)-\sin(\alpha)\sin(\beta)[/tex]

Since α is in QIII, sin(α), cos(α) < 0, and tan(α) > 0.

And since β is in QII, cos(β), tan(β) < 0, and sin(β) > 0.

Using this information, substitute:

[tex]\displaystyle \cos(\alpha+\beta)=\left(-\frac{15}{17}\right)\left(-\frac{8}{15}\right)-\left(-\frac{8}{17}\right)\left(\frac{\sqrt{161}}{15}\right)[/tex]

Therefore:

[tex]\displaystyle \cos(\alpha+\beta)=\frac{120+8\sqrt{161}}{255}[/tex]

Answer:

$15.19

Step-by-step explanation:

8.5% = 0.085

0.085 x 14 = $1.19

1.19+14= $15.19

Answer:

The volume is x times x times x which is x^3 :)

Answer:

y = [tex]\frac{4}{3}[/tex] x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (6, 10) ← 2 points on the line

m = [tex]\frac{10-2}{6-0}[/tex] = [tex]\frac{8}{6}[/tex] = [tex]\frac{4}{3}[/tex]

The line crosses the y- axis at (0, 2 ) ⇒ c = 2

y = [tex]\frac{4}{3}[/tex] x + 2 ← equation of line

Answer:

58 1/3

Step-by-step explanation:

14=.24x

14*25/3 = x

58 1/3

Answer:

η²

SSbetween / SStotal

η² = 0.0145757

Step-by-step explanation:

Effect size, η² = SSbetween / SStotal

SSbetween is the sum of square between the groups in the experiment. It is sometimes denoted as SSb.

The sum of square Total, SStotal measures the entire variability in these dataset.

SSbetween = 3,095.00 ; SStotal = 212,339.66

η² = SSbetween / SStotal

Effect size η²= 3,095.00 / 212,339.66

Effect size = 0.0145757

Answer:

(-2,5/3)

Step-by-step explanation: