Between which two consecutive whole numbers does the length of the diagonal fall?
Which whole number is it closer to? Use the drop-down menus to show your answer.

0.2829

I think it would be thousandths I'm pretty sure :)

Answer:

see explanation

Step-by-step explanation:

To obtain a term in the sequence add the previous 2 terms, that is

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + [tex]a_{n-2}[/tex] ← in general terms

(a)

Given 1  4  5  9 14

Then the next 2 terms are 9 + 14 = 23 and 23 + 14 = 37

(b)

Given a₄ = 30 and a₅ = 49 , then

a₃ = 49 - 30 = 19

a₂ = 30 - 19 = 11

a₁ = 19 - 11 = 8

Sequence is 8  11  19  30  49 ....

(c)

Given a₂ = x and a₃ = y , then

a₁ = y - x

a₄ = a₃ + a₂ = y + x

a₅ = a₄ + a₃ = y + x + y = 2y + x

Answer:

3 steps per second.

Step-by-step explanation:

3 steps per hour are way too slow.

30 steps per minute are too slow as well, that's half a step per second.

30 steps per second, is too fast, until your the Flash or something.

Answer:

Height of cone (h) = 14.8 in (Approx)

Step-by-step explanation:

Given:

Radius of cone (r) = 6 in

Slant height (l) = 16 in

Find:

Height of cone (h) = ?

Computation:

Height of cone (h) = √ l² - r²

Height of cone (h) = √ 16² - 6²

Height of cone (h) = √ 256 - 36

Height of cone (h) = √220

Height of cone (h) = 14.832

Height of cone (h) = 14.8 in (Approx)

Assuming a is constant and you want the derivatives with respect to t, we have by the chain rule

[tex](a\cos^3t)'=3a\cos^2t(\cos t)'=-3a\cos^2t\sin t[/tex]

[tex](a\sin^3t)'=3a\sin^2t(\sin t)'=3a\sin^2t\cos t[/tex]

Then for the second derivatives, we use the chain and product rules together:

[tex](a\cos^3t)''=(-3a\cos^2t\sin t)'=-6a\cos t\sin t(\cos t)'-3a\cos^3t[/tex]

[tex](a\cos^3t)''=3a\cos t(2\sin^2t-\cos^2t)[/tex]

[tex](a\sin^3t)''=(3a\sin^2t\cos t)'=6a\sin t\cos t(\sin t)'-3a\sin^3t[/tex]

[tex](a\sin^3t)''=3a\sin t(2\cos^2t-\sin^2t)[/tex]

Answer:

Kara should plot points where the arcs intersect above and below the line segment.

Step-by-step explanation:

The bisection of a line segment is the dividing of the line segment into two equal parts. To bisect a line segment, you have place your compass on the endpoints and measure a distance greater than half of the segment. The point of intersection of the arcs both above and below the segment is then joined thereby bisecting the line.

Since Kara has already drawn the two arcs which are greater that half of the length, all Kara needs to do is plot points where the arcs intersect above and below the line segment.

Answer:

Each side of the square in centimetres = 10.80 centimetres

Step-by-step explanation:

To convert from one unit to another or in between units we make use of conversion factors or conversion formulas

The conversion factor for the conversion of units in centimetres to units in inches is given as about 2.54 centimetres being equivalent to 1 inch

Therefore;

1 inch = 2.54 centimetres

4.25 inches = 2.54 × 4.25 = 10.795 ≈ 10.80 centimetres

Therefore, each side of the square in centimetres = 10.80 centimetres.

Step-by-step explanation:

Indian States

Answer:

  x = -2

Step-by-step explanation:

Eliminate parentheses and collect terms.

  1 +8x +5 -4x = 2(x -3) -2(x -2) . . . . . given

  6 +4x = 2x -6 -2x +4

  6 + 4x = -2

  4x = -8 . . . . . subtract 6

  x = -2 . . . . . . divide by 4

Answer:x= 45°

Step-by-step explanation:

The value of angle LKN is 75°becausw the theorem vertically oposite angles

Then the value of angle LPN is 45° because figure LKNP is a rectangle so the sum of the angles should be 360°so 120°+120°+75°+angle LPN is 360°so the value of angle LPN is 45°

The value of x is also 45° because of vertically oposite angles theorem

Answer:

Price of copy = $5

Step-by-step explanation:

Situation:

Tommy purchases five copies and five pencils. He gives $130 to the shopkeeper.

If the price of a pencil is $13, find the price of a copy.

Assume

Number of copy = 5

Number of pencil = 5

Price of copy = x

Price of Pencil = $13

So,

5(x) + (5)(13) = 130

6(x) + 65 = 130

x = 5

So,

Price of copy = $5

Answer:

-15

Step-by-step explanation:

given 3x+4y

when x = 3 and y = -6

3x+4y

= 3(3)+4(-6)

= 9 - 24

= -15

Answer:

Step-by-step explanation:

3x + 4y

When

x = 3

y = - 6

Substitute these values into the above expression and solve

We have

[tex]3(3) + 4( - 6) \\ = 9 - 24[/tex]

We have the final answer as

Hope this helps you

Answer:

D

Step-by-step explanation:

Well the total angle is of measure 8x+2 and

the bisected angle is of 5x-3 so that means

(8x+16)/2=5x-3

4x+8=5x-3

x=11°

so 5(11)-3=52° this is because the bisected angles are the same

BED=REB

Answer:

L≤30ft

Step-by-step explanation:

The area of the garden A = Length(L)*Width(W)

If Zack wants his rectangular garden to be 8 feet longer than it is wide, then

L = 8+W

Also, if he wants the area to be less than or equal to 660 ft², the A ≤ 660

LW≤660 ........1

(8+W)W ≤ 660

W²+8W-660≤0

W²+30W-22W-660≤0

W(W+30)-22(W+30)≤0

(W-22)(W+30)≤0

W-22≤0

W≤22 (neglecting the positive value)

Substituting W = 22 into equation 1

22L≤660

L≤660/22

L≤30

Hence the possible values for the length of his garden in feet are values less than and equal to 30 feet.

Answer:

The correct answer is A 8 < x ≤ 30

Step-by-step explanation:

Good luck!!

Answer:

A. 8 and 9

Step-by-step explanation:

Between which two consecutive whole numbers does √ 78 lie?

a.

8 and 9

b.

6 and 7

c.

9 and 10

d.

7 and 8

A. 8 and 9

8^2 = 8 × 8 = 64

9^2 = 9 × 9 = 81

B. 6 and 7

6^2 = 6 × 6 = 36

7^2 = 7 × 7 = 49

C. 9 and 12

9^2 = 9 × 9 = 81

12^2 = 12 × 12 = 144

D. 7 and 8

7^2 = 7 × 7 = 49

8^2 = 8 × 8 = 64

The correct answer is A. 8 and 9

Answer:

  ∠ABC = 34°

  ∠DBC = 44°

Step-by-step explanation:

The angle sum theorem tells you ...

  (5x+4) +(5x-6) = 78

  10x = 80 . . . . . . . . . . add 2 and simplify

  x = 8

Then the two angles are ...

 ∠ABC = 5(8) -6 = 34°

  ∠DBC = 5(8) +4 = 44°

Answer:

6π

Step-by-step explanation:

Hope this helps!

A circle is a curve sketched out by a point moving in a plane. The arc length of the semicircle is 18.85 units or 6π units.

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

The length of the arc on any semicircle is half the length of the circumference of the circle with the same radius.

Given the length of the diameter of the semicircle is 12 units. Therefore, the circumference of the circle with a diameter of 12 units is,

Circumference = π × Diameter

                         = π × 12 units

                         = 12π units

Now, the arc length of the semicircle is,

Length of the semicircle = Circumference /2

                                       = 12π /2 units

                                       = 6π units

                                       = 18.85 units

Hence, the arc length of the semicircle is 18.85 units or 6π units.

Learn more about Circle here:

https://brainly.com/question/11833983

#SPJ5

Answer:

-100 F

Step-by-step explanation:

Answer:

24 mph for both 60 miles and 40 miles.

Step-by-step explanation:

We need to find how long it takes to get to college and from it.

Speed x time (x) = Distance (60)

30x = 60

x=2

It takes two hours to get to college

20x = 60

x = 3

It takes 3 hours to get back. It's a total of 5 hours, 2 hours at 30mph and 3 at 20. Now we need to find the average

30+30+20+20+20=120

120/5= 24

The average speed for the round trip is 24.

To do the second part, we follow the same process, but replace 60 with 40 for distance.

30x=40

x= 1.33

20x=40

x=2

We can add the total distance and divide by total time to find the average.

The total distance is 80. Time is 3.33

80/3.33=24

The average speed is still 24.

Answer:

10 cm

Step-by-step explanation:

The diagonals of a rhombus are perpendicular bisectors of each other.

All sides are congruent.

The diagonals divide the rhombus into 4 congruent right triangles.

Applying Pythagoras' identity to 1 of the triangles with legs 6 and 8 and hypotenuse the side s of the rhombus, then

s² = 6² + 8² = 36 + 64 = 100 ( take the square root of both sides )

s = [tex]\sqrt{100}[/tex] = 10

Answer:

Okay, so the picture is a different question than the text.

The answer to the picture is:

67

The answer to the text is:

79

Step-by-step explanation:

I'll explain the picture one.

The line PQR can be represented as [tex]PQ + QR=PR[/tex]. Since we already know the measure of QR and PR, we can substitute inside the equation to try and find PQ.

[tex]PQ + 21 = 88[/tex]

Our goal is to isolate PQ on one side.

To do this we can subtract 21 from both sides.

[tex]PQ + 21 - 21 = 88-21\\\\PQ=67[/tex]

Hope this helped!

Answer:

PQ = 79

Step-by-step explanation:

PQ + QR = PR

PR - QR = PQ

95 - 16 = 79

Answer:

T = 4c + 4t + 3s

Step-by-step explanation:

Stocks contains:

4-legged chairs

4-legged tables

3-legged stools

So, 1 chair has legs = 4

So, c chairs has legs = 4c

1 table has legs = 4

So, t tables has legs = 4t

1 stool has legs = 3

So, s stools has legs = 3s

Let T denotes the total no. of legs

So, the total number of furniture legs in aisle 2 :

T = 4c + 4t + 3s

Hence, T = 4c + 4t + 3s expression show the total number of furniture legs in aisle 2.

Hope it helped u if yes mark me BRAINLIEST! :)

Tysm!

Also sorry for late reply... :(

Answer:

A

Step-by-step explanation:

We know that the sum of interior angles in a triangle is 180°. Looking at ΔWYZ, we can write:

? + 75 + 75 = 180

? + 150 = 180

? = 30°

The three inside angles of a triangle need to equal 180 degrees.

You are given the bottom two angles.

75 + 75 = 150

WYZ = 180 - 150 = 30

The answer is 30 degrees.

Answer:

equation is y-11 =4

so the number is 15. thats all

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:

its -2

Step-by-step explanation:

The value of k in equation k/4 + 3 = 14 is 44 and in the other equation 4k + 3 = 14 it will be 11/4.

A linear equation is an equation in which the highest power of the variable is always 1. The standard form of a linear equation in one variable is of the form Ax + B = 0.

We have given equation as

k/4 + 3 = 14

subtract by 3 both sides

k/4 + 3 -3 = 14 -3

k/4 = 11

On cross-multiplication, the equation becomes

k = 11(4)

k = 44

similarly,

4k + 3 = 14

subtract by 3 both sides

4k +3 - 3 = 14 - 3

4k = 11

On cross-multiplication, the equation becomes

k = 11/4

Thus, the value of k in both the equation is 44 and 11/4.

Learn more about linear equations;

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Answer:

W PM^2 − WP(M−S)^2=T

Step-by-step explanation:

this is what mathaway said

Answer:

30+31+32 =93. Smallest is 30

Answer:

31

Step-by-step explanation:

Let the three unknown numbers be x+x+x

[tex]x+x+x =93\\3x = 93[/tex]

Divide both sides by 3

[tex]\frac{3x}{3} = \frac{93}{3} \\\\x = 31\\\\[/tex]

The numbers are 31 , 33,35

Answer:

The formula says that the sum of the first n terms of our arithmetic sequence is equal to n divided by 2 times the sum of twice the beginning term, a, and the product of d, the common difference, and n minus 1. The n stands for the number of terms we are adding together.

Step-by-step explanation:

Answer:

78

Step-by-step explanation:

Adult tickets = x

Child tickets = 3(Adult tickets) = 3x

The cost of child admission is $5.50, and the cost of adult admission is $8.80.  Multiply the cost of admission by the variables and set equal to the total sales.

8.8(x) + 5.5(3x) = 663.6

8.8x + 16.5x = 663.6

25.3x = 663.6

x = 26

Child tickets = 3x

Child tickets = 3(26)

Child tickets = 78

78 child tickets were sold that day.