How far would she have walked if she kept the same pace?

Answer:

The 2nd number in the sequence is [tex]2\left(\frac{100}{12}\right)+2[/tex]

Step-by-step explanation:

Let the six even numbers be 2x,2x+2,2x+4,2x+6,2x+8,2x+10

We are given that The sum of 6 even integers is 130.

So,2x+2x+2+2x+4+2x+6+2x+8+2x+10=130

12x+30=130

12x=100

[tex]x=\frac{100}{12}[/tex]

So,the 2nd number in the sequence is [tex]2\left(\frac{100}{12}\right)+2[/tex]

Answer:

Step-by-step explanation:

All inscribed angles intercepting the same arc have the same measure.

If you slide the vertex of angle y clockwise around the circle until it coincides with the vertex of the angle marked 65°, you see that those two inscribed angles (y and 65°) intercept the same arc, so have the same measure:

  y = 65°.

The measure of an inscribed angle is half the measure of the intercepted arc, so the arc marked x is double the angle 65°.

  x = 130°.

Answer:

2 sqrt(2)

Step-by-step explanation:

h(x) = 2x-8

g(x) = sqrt( x-4)

g(h(10))

First find h(10)

h(10) = 2*10 -8 = 20-8 =12

Then find g(h(10) = g(12) = sqrt( 12-4)

                                = sqrt(8) = sqrt(4*2) = sqrt(4) sqrt(2) = 2 sqrt(2)

Answer:

a

Step-by-step explanation:

edge 2021

Answer:

Step-by-step explanation:

We need the two numbers to tell us where the point is on the coordinate plane. The first number tells us where it is on the x-axis, and the second number tells us where it is on the y-axis. The very middle of the coordinate plane is the point (0, 0)

Based on this the answer is horizontol plane and x coordinate

[tex] \cos(2A)=\cos^2 A-\sin^2A=(\cos A+ \sin A)(\cos A-\sin A)[/tex]

substitute the second term in LHS to get

[tex]{ (\cos A - \sin A)^2 \over \cos(2A))}[/tex]

expand the square, [tex] \frac{1-2\sin A \cos A}{\cos 2A}= \sec2A- \tan 2A[/tex]

([tex] \sin (2\theta)=2 \sin\theta\cos\theta[/tex])

Answer:

Both sides can take the same identity

Step-by-step explanation:

Sec 2A - tan 2A

Express with sin and cos

1/cos (2A) - sin (2A)/cos (2A)

= 1 - sin (2A) / cos (2A)

=

1 - sin (x) = 1-sin (x) = 1 - sin^2 ( x ) / 1 + sin (x)  

=

1 - sin ^2 (x) = cos ^2 (x)  

=cos ^2 (2A) / 1+sin (2A)/Cos (2A)

simplified

cos (2A) / 1+sin 2A

identity x used = cos 2x = cos ^2 x - sin ^2 x

= 1 + sin (2x) + (cos (x)) + (sin (x))^2

= cos ^2A - sin ^2A / (cos A - sin A) ^2

= cos A - sin A / cos A +sin A

Both sides are true.

Answer:

(C) 87

Step-by-step explanation:

We can use long division to solve this.

[tex]33\overline{\smash{)}#2871}[/tex]

33 goes into 287 8 times and 33 goes into 231 7 times.

So, 87.

Hope this helped!

Answer: C) 87

Step-by-step explanation:

2,871 ÷ 33 = 87

Answer:

b

Step-by-step explanation:

The area of triangle PQR which is an SAS triangle, to the nearest tenth, is: A. 24.1 m²

The area of an SAS triangle = ½ × bc × sin(A).

Given the following:

Area of triangle PQR = ½ × (14)(6) × sin(35)

Area of triangle PQR = 24.1 m²

Learn more about the area of an SAS triangle on:

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Answer:

  125 in²

Step-by-step explanation:

Each triangular face has a base of 5 in and a height of 10 in. The area of it is given by the formula ...

  A = (1/2)bh

  A = (1/2)(5 in)(10 in) = 25 in²

The square base has an area given by the formula ...

  A = s² . . . . . where s is the side length

  A = (5 in)² = 25 in²

The total area is the sum of the areas of the 4 faces and the base:

  total area = 4 × (area of 1 face) + (area of base)

  total area = 4 × (25 in²) + 25 in²

  total area = 125 in²

Answer: The Surface Area is 125 in^

Step-by-step explanation:

Surface area = 4 × (area of 1 face) + (area of base)

total area = 4 × (25 in²) + 25 in²

Surface area = 125 in²

Answer:

The Sand Will Be 2 inches Dip

Step-by-step explanation:

240 h = 480

=> h  = 2

sorry if this didn't help :p

Answer:

add 4 to each side

Step-by-step explanation:

x^2+4x=1

Take the coefficient of the x term

4

Divide by 2

4/2 =2

Square it

2^2 =4

Add this to each side

x^2+4x +4=1+4

(x+2) ^2 = 5

Answer:

x cannot equal -3 because if -3 is plugged in for x, there will be a zero in the denominator and you cannot divide by 0

Answer:

B. 945 m^3

Step-by-step explanation:

We just need to find the volume of the big box and the small box and find the difference.

To find the volume of a box, we multiply length, width, and height

Big box:

15.3x7x10=1071

1071

Small box:

4.2x3x10=126

126

1071-126=945

945 m^3

Answer:

b

Step-by-step explanation:

Answer: No

Step-by-step explanation:

Because 4^2=16

5^2=25

25+16=41

41 squared =6.4031.....

6.4031 does not = 20

Answer: No, a triangle is not possible

The two smaller sides add to 4+5 = 9 which is not larger than 20. For a triangle to be possible, we need to be able to add 2 sides to make them longer than the third side. This is an application of the triangle inequality theorem.

16.7%

There are 6 ways we can roll doubles out of a possible 36 rolls (6 x 6), for a probability of 6/36, or 1/6, on any roll of two fair dice. So you have a 16.7% probability of rolling doubles with 2 fair six-sided dice.

Answer:

The answer is 16.7%

Step-by-step explanation:

There are 6 ways we can roll doubles out of a possible 36 rolls (6 x 6), for a probability of 6/36, or 1/6, on any roll of two fair dice. So you have a 16.7% probability of rolling doubles with 2 fair six-sided dice. hope this helped

[tex]\text{Solve for v:}\\\\4v-8\leq5v+5\\\\\text{Subtract 5v from both sides}\\\\-v-8\leq5\\\\\text{Add 8 to both sides}\\\\-v\leq13\\\\\text{Divide both sides by -1, while also flipping the inequality}\\\\\boxed{v\geq-13}[/tex]

Answer:

v>=-13

Step-by-step explanation:

4v-8<=5v+5

4v-5v-8<=5

-v-8<=5

-v<=5+8

-v<=13

v<=-13

v>=-13

Answer:

Every 18 miles he uses 3 gallons

divide this:

18 ÷ 3 = 6 miles per gallon

30 miles = 30 ÷ 6 = 5 gallons

7 gallons = 7 x 6 = 42 miles

48 miles = 48 ÷ 6 = 8 gallons

10 gallons = 10 x 6 = 60 miles

Hope this helps :D

Answer:

196π or 615.75 m^3 to the nearest hundredth.

Step-by-step explanation:

This is a cone, so:

Volume = 1/3 π r^2 h

= 1/3  * π * 14^2 * 3

= 196π m^3.

The volume of the pyramid is 1,280 cubic feet. Thus, the correct option is A.

Let h be the height of the pyramid, l be the slant height, and A be the base area of the pyramid. Then the volume of the pyramid will be given as,

Volume = (1/3) × A × h

The slant height is given as,

l² = (half of the side)² + h²

Given that:

Slant height, l = 17 ft

Side length, a = 16 ft

The height of the pyramid is calculated as,

17² = (16/2)² + h²

h = 15

The volume of the pyramid is calculated as,

V = 1/3 x 16 x 16 x 15

V = 256 x 5

V = 1,280 cubic feet

Thus, the correct option is A.

More about the volume of the pyramid link is given below.

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Answer:

[tex]\boxed{ \sf 1350 \ cm^2}[/tex]

Step-by-step explanation:

Surface area of a cube = 6a²

a = side length

The side length is given 15 cm.

[tex]6(15)^2[/tex]

[tex]6(225)[/tex]

[tex]1350[/tex]

The surface area of the cube is 1350 cm².

Answer:

£17.50

Step-by-step explanation:

30 punnets /  £20

= 30 / 20

= 1.5

1 punnet costs £1.5

30 strawberries * (1/6 punnets)

= 30 * (1/6)

= 30/6

= 5

5 punnets were rotten.

5 rotten punnets * £1.5

= 5 * 1.5

= 7.5

Sandeep lost £7.5 in profits.

6/6 punnets - 1/6 rotten punnets

= 6/6 - 1/6

= 5/6

5/6 punnets are good

30 punnets * 5/6 good punnets

= 30 * 5/6

= 150/6

= 25

Sandeep has 25 punnets left to sell

25 punnets to sell *  £1.50

= 25 * 1.5

= 37.50

Sandeep will get £37.50 from selling the punnets.  However, you must take into account that he lost £20 when he bought the strawberies.  THat money while be added back with some extra money left over:

£37.50 - £20

= 37.50 - 20

= 17.50

Put all into 1 equation:

{[30 * (5/6)] * 1.50} - 20

= {(150/6) * 1.50} - 20

= {25 * 1.50} - 20

= 37.50 -20

= 17.50

Overall, Sandeep's actual profits are equal to 17.50

I hope this is correct!  Please tell me if the answer or info I gave was wrong!

Answer:

[tex]5\frac{3}{5}[/tex]

Step-by-step explanation:

[tex]4*1\frac{2}{5} = 4 * \frac{7}{5} = \frac{28}{5} = 5\frac{3}{5}[/tex]

Answer:

[tex]\boxed{ 5\frac{3}{5}}[/tex]

Step-by-step explanation:

[tex]\displaystyle 4 \times 1\frac{2}{5}[/tex]

[tex]\sf Convert \ mixed \ fraction \ into \ improper \ fraction.[/tex]

[tex]\displaystyle 4 \times \frac{7}{5}[/tex]

[tex]\sf Multiply.[/tex]

[tex]\displaystyle \frac{28}{5}[/tex]

[tex]\sf Convert \ improper \ fraction \ into \ mixed \ fraction.[/tex]

[tex]\displaystyle 5\frac{3}{5}[/tex]

Answer:

The correct answer is 10+6p

Step-by-step explanation:

The mistake is that for the first step instead of distributing 2 to 3p and 1 they added 8+2 first. your actually supposed to distribute and get, 8+6p+2, then combine like terms and get 10+6p

Answer:

Mistake: He added 8 to the 2 that you needed to multiply to the 3p and 1 inside the parentheses.

Correct solution: 10 + 6p

Step-by-step explanation:

8 + 2(3p + 1) =

8 + 6p + 2 =

10 + 6p

Hope that helps and maybe earns a brainliest!

Have a fantastic day! :)

Answer:

Given : Sherelle and Venita’s grandmother said that one of the bags has a coin from 1916

To find : What reasons might sherelle give for saying that the 1916 coin is most likely in her bag?

What reasons might venita give for saying that the 1916 coin is most likely in her bag?

Solution:

Sherelle: 72, 56, 81, 84, 75, 26, 39, 62, 65, 66, 85, 71, 74, 68, 73, 66, 83, 60, 58, 72

arranging in order

26, 39,  56, 58, 60, 62, 65, 66, 66, 68, 71, 72, 72 , 73, 74, 75, 81, 83, 84, 85  

Median = (68 + 71)/2 = 69.5

Q1 = 61

Q3 = 74.5

IQR = 13.5

Sherelle claims  that she has 26  which is closer to 16 hence her chances are more.

Venita: 45, 65, 73, 57, 79, 66, 69, 75, 51, 44, 53, 69, 58, 77, 51, 55, 53, 78, 70, 62

arranging in order

44, 45, 51, 51, 53, 53, 55, 57, 58, 62 ,65, 66, 69, 69, 70, 73, 75, 77, 78, 79

Median =  63.5

Q1 = 53

Q3 = 71.5

IQR = 18.5

IQR of Venita is High

so there are more chances that Sherelle will be having higher spread hence chances of having 16 in data Set is More

If Sherelle remembers seeing an old coin in her bag earlier, then her bag would be more likely to have the 1916 coin.

It is a branch of mathematics that deals with the occurrence of a random event.

Sherelle might say that she remembers seeing an old coin in her bag earlier and that she rarely removes things from her bag.

She might also argue that she has not used her bag as frequently as Venita, so the coin is more likely to be in her bag.

Venita might argue that she has used her bag more frequently than Sherelle, so the coin is more likely to be in her bag.

She might also say that she has checked her bag multiple times and has not seen the coin, so it must be in Sherelle's bag.

if Sherelle remembers seeing an old coin in her bag earlier, then her bag would be more likely to have the 1916 coin.

On the other hand, if the coin was recently added to one of the bags, then Venita's bag could also be a likely candidate.

Hence, if Sherelle remembers seeing an old coin in her bag earlier, then her bag would be more likely to have the 1916 coin.

To learn more on probability click:

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Answer:

x = -4

Step-by-step explanation:

16 + x = 12

16 - 16 + x = 12 - 16

x = -4

Answer:

V= 6,000 cm^3

Step-by-step explanation:

(15*20*10) + (10*20*15)

3000 + 3000

6000 cm^3

Answer:

6000 cm³

Step-by-step explanation:

20 * 10 * 15 + (20 * 10 * 15) = 6000 cm³

Answer:

3

Step-by-step explanation:

Basically we need to find out whats the remainder of 1425 when you divide by 9.

1425/9 = 158 R3

R3 is 3 marbles left, so the answer is 3.

Answer:

Camel's shadow is growing at a rate of 8 ft/sec.

Step-by-step explanation:

Given:

Height of camel = 8 ft

Height of streetlight = 20 ft

Speed of camel = 12 ft / sec

To find:

How fast is the camel's shadow growing = ?

Solution:

First of all, have a look at the image attached for the situation as given in the question statement.

PQ be the streetlight.

AB be the camel.

Camel is loping away from the streetlight.

BT will be the shadow of the camel.

We are given that speed of camel = 12 ft / sec

And we know that Speed is the Rate of change of distance w.r. to time.

i.e. as per the image, we are given:

[tex]\dfrac{dx}{dt} = 12 ft /sec[/tex]

And we have to find the value of:

[tex]\dfrac{ds}{dt} = ?[/tex]

(Because s is the shadow length and we have to find the rate of change of shadow's length w.r.to time.)

Here, let us consider the two similar triangles [tex]\triangle TAB\ and\ \triangle TPQ[/tex]as per the image attached:

Ratio of corresponding sides will be same.

[tex]\dfrac{AB}{PQ}=\dfrac{TB}{TQ}\\\Rightarrow \dfrac{8}{20}=\dfrac{s}{s+x}\\\Rightarrow 8s+8x=20s\\\Rightarrow 12s = 8x\\\Rightarrow s = \dfrac{2}{3}x[/tex]

Now, differentiating w.r.to t:

[tex]\dfrac{ds}{dt}=\dfrac{2}{3}\dfrac{dx}{dt}\\\Rightarrow \dfrac{ds}{dt}=\dfrac{2}{3}\times 12\\\Rightarrow \dfrac{ds}{dt}=\bold{8\ ft/sec}[/tex]

Camel's shadow is growing at a rate of 8 ft/sec.

Answer:

linear model

Step-by-step explanation:

This is a linear function.  The initial value is 20 ft, and the yearly growth is 2ft/yr.  Thus, the function is

height(t) = (20 ft) + (2 ft/yr)t, where t is the number of years.

Answer:

k=-6

Step-by-step explanation:

Answer:

[tex]\Large \boxed{k=-6}}[/tex]

Step-by-step explanation:

35 = -5(2k+5)

Expand brackets.

35 = -10k - 25

Add 25 on both sides.

60 = -10k

Divide both sides by -10.

-6 = k