Luke has a board 5
6
of a yard long. He needs to cut the board into 5 equal sections.

Use the expression
to find the length of each section.
Each section is
yard long.

Answers

Answer 1

Answer:

1/6 of a yard

Step-by-step explanation:

Length of the board = 5/6 yard

He needs to cut the board into 5 equal sections.

Length of each section = length of the board ÷ number of sections

= 5/6 ÷ 5

= 5/6 × 1/5

= (5*1)/(6*5)

= 5/30

= 1/6

Length of each section = 1/6 of a yard


Related Questions

Simplify. Rewrite the expression in the form 4n. 49​

Answers

Answer:11^3

Step-by-step explanation:

Answer:

easy bro 4/49

Step-by-step explanation:

that is the lowest it can go :)

Convert the following angle from degrees to radians. Express your answer in simplest
form.
360°

Answers

Answer:

360° 2π rad 6.283185 rad


Which is the equation of the line that has a slope of -3 and includes the point (2, 4)?

Answers

Answer:

y= -3x + 10

Step-by-step explanation:

we can answer this question thanks to this formula:

y-y1 = m(x-x1) where y1 and x1 indicate the coordinates of the given point and m indicates the slope

y-4 = -3(x-2)

y = -3x+6+4

y= -3x + 10

in the figure OP= 1 what are the coordinates of Point p​

Answers

Answer:

C. (cos θ, sin θ)

Step-by-step explanation:

The x-coordinate of P:

x/OP = cos θ ⇒ x = OP cos θ = cos θ

The y-coordinate of P:

y/OP = sin θ ⇒ y = OP sin θ  = sin θ

The coordinates of point P are:

(cos θ, sin θ)

Correct choice is C

Distance from x axis

sinØ=x/OPx=OPsinØ=sinØ

Distance from y axis

y=OP cosØy=cosØ

P(cosØ,sinØ

Geometry help please! Thank you

Answers

Answer:

ZWXY

Step-by-step explanation:

The other shape is the same but you want to name it the same way that they named the first one

If the measure of angle 2 is 100 degrees. What is the measure of angle 8? Why?

Answers

Answer:

5

Step-by-step explanation:

thanks for the points

given parallelogram ABCD with A(-3,0), B(-2,3), C(3,2) and D(2,-1) find the coordinates of the diagonals AC and BD

Answers

Plot graph and count for A.

A (-1,10)

Intersecting Secant (Exterior)
Find X =

Answers

Answer: x = 13

Step-by-step explanation:    the equation to solve this is:

4 × (4 + 8) = 3 × (3 + x)

so we solve the first half of that:

4 × (4 + 8)

4 × 12

48

now we have:

48 = 3 × (3 + x)

so we switch the sides to make it easier and solve

3 × (3 + x) = 48

divide both sides by 3

3 × (3 + x) ÷ 3 = 48 ÷ 3

and get

3 + x = 16

now subtract 3 from both sides

3 + x = 16

-3         -3

and finally we get

x = 13

hope this helped :)

PLEASE HELP!!!!!! 15POINTS!!!!!!!!! REAL ANSWERS ONLY!!!!!! NO LINKS!!!!!!!​

Answers

Answer:

Solution given:

radius [r]=40ft

length of arc=70/360×2πr=70/360×2×π×40

=48.86=49ft is your answer

Answer:

49ft is the answer. hope it helps

What is the answer to 6 ^-2?

Answers

Answer: 0.02777777777

Step-by-step explanation:

If y = 2,300 (3x), what is y if x = 3?

No files or links. Just answers.

Answers

Answer:

20700

Step-by-step explanation:

3 times 3 times 2300 = 20700

Lale is mixing together some fertilizer. The instructions say to mix 20 liters of water with 5 liters of liquid fertilizer.
How many liters of water should Lale mix with 1 liter of liquid fertilizer?
O A 4 liters
B. 5 liters
C. 10 liters
D. 15 liters

Answers

Answer:

a. 4 liters of water......

Answer:

20/5 = 4

Step-by-step explanation:

the answer at the pic

Please help me find x

Answers

Answer is 3x because u do 12-9 which gets three and since it was originally 12x and you don’t know what X is you just put the x on the 3 and get 3x

Hewwo!
[tex] \underline{ \underline{ \bf{Question}}} : [/tex] In a circle of radius 5 cm , AB and CD are two parallel chords of length 8 cm and 6 cm respectively. Calculate the distance between the chords , if they are :
i. on the same side of the centre
ii. on the opposite side of the centre
*Show your workings!

Answers

Answer:

AB=8cm⇒AE=4cmCD=6m⇒CF=3cmIn△AEDAE=4cm,AO=5cmOE=(AO)2−(AE)2=52−42=3cmIn△OFCCF=3cm,CO=5cmOF=OC2−CF2=52−32=4cm

∴ Distance between the chords=4cm−3cm=1cm

Answer:

I) 1 cm

II) 7 cm

Step-by-step explanation:

We are given a circle with a radius of 5 cm. AB and CD are two parallel chords of length 8cm and 6cm respectively. And we want to calculate the length of the chords if they are:

I) On the same side of the center.

Please refer to the first figure.

In it, O is the center, AB measures 8 and CD measures 6.

To find the distance between the two chords, we essentially need to find KJ, which is OJ - OK.

We will construct a segment from O to K and from K to J. This is perpendicular to the chords. Therefore, by the Perpendicular Bisector Theorem, it also bisects the chords.

ΔAOK is a right triangle. Therefore:

[tex]AO^2=OK^2+KA^2[/tex]

AO is simply the radius.

KA is half the length of AB since OK perpendicularly bisects the chord.

Therefore:

[tex](5)^2=OK^2+(4)^2[/tex]

So:

[tex]25=OK^2+16\Rightarrow OK^2=9\Rightarrow OK=3[/tex]

Likewise, ΔCOJ is also a right triangle. Therefore:

[tex]CO^2=OJ^2+JC^2[/tex]

CO is the radius, and JC will be half the length of CD. Thus:

[tex](5)^2=OJ^2+(3)^2\Rightarrow OJ^2=16\Rightarrow OJ=4[/tex]

Therefore, the distance KJ between the two chords are:

[tex]KJ= OJ-OK=4-3=1\text{ cm}[/tex]

II) On opposite sides of the center.

Please refer to the second figure.

Again, O is the center, AB measures 8, and CD measures 6.

Likewise, segments OK and OJ are perpendicular bisectors of AB and CD, respectively.

And to find the distance, we essentially need to find JK or OJ + OK.

ΔKOB is a right triangle. Thus:

[tex]OB^2=OK^2+KB^2[/tex]

OB is the radius, and KB is half of AB:

[tex](5)^2=OK^2+(4)^2\Rightarrow OK=3[/tex]

ΔJOD is also a right triangle. Thus:

[tex]OD^2=OJ^2+JD^2[/tex]

OD is the radius and JD is half of CD:

[tex](5)^2=OJ^2+(3)^2\Rightarrow OJ=4[/tex]

Therefore, the distance between the two chords are:

[tex]JK=OJ+OK=4+3=7\text{ cm}[/tex]

A park charges $13 for one round of miniature golf and a reduced fee for each additional round played. If Tom paid $43 for 6 rounds of miniature golf, what is the reduced fee for each additional round played?

Answers

Answer:

Reduced fee for each additional round will be $5.

Step-by-step explanation:

Let the reduced fee for each additional round played = $x

Charges for one round = $13

If Tom played for 6 rounds, total charges for the 6 rounds = 13 + 6x

Since, Tom paid $43 for 6 rounds,

13 + 6x = 43

6x = 43 - 13

6x = 30

x = 5

Therefore, reduced fee for each round will be $5.

1. What kind of polyhedron can be assembled from this net?
2. Find the surface area (in square units) of the polyhedron. Show your reasoning.

Answers

Answer:

Honestly it looks like a rectangular prism.

Step-by-step explanation:

Picture that you're folding it. the dark lines are the crevaces that you fold on.

If this is a perfect square trinomial, factor it 2 + 5x + 25 O(x + 5)? This is not a perfect square trinomial. 0 0 (x – 5)? o (x + 5) (2 5)​

Answers

Answer:

There is one "special" factoring type that can actually be done using the usual methods ... "Perfect square trinomials" are quadratics which are the results of squaring binomials. ... This means that I'll have a "plus" sign between the x and the 5. ... it had a middle term of –25x, and this does not match what the pattern requires.

Step-by-step explanation:

Which proportional goes into 12/15 ?

Answers

Answer:

-80%

Step-by-step explanation:

13. In the right triangle depicted below, what is the cosine of angle B?

Answers

Answer:

number c

Step-by-step explanation:

.............. just for filling 20 characters

the cosine of angle B

C. 0.767

How do you find the cosine of a triangle?

the cosine of an angle in a right triangle equals the adjacent side divided by the hypotenuse: Also, cos A = sin B = b/c.

The cosine formula to find the side of the triangle is given by: c = √[a2 + b2 – 2ab cos C] Where a,b and c are the sides of the triangle.

Pythagoras Theorem is a generalization of the Law of Cosine.

The law of cosine can be applied in any triangle.

Learn more about the cosine of a triangle here

https://brainly.com/question/12028180

#SPJ2

PLEASE HELP 10 POINTS PLEASE

Answers

Answer:

80 Degrees

Step-by-step explanation:

just flip and overlap the figure (in your mind)

-3 x -3 - 6 +2 =

Show our work

Someone help I will give u brain list + 11 points

Answers

-3 x -3 = 9
9-6= 3
3+2 = 5

the answer is 5

Help!!!!!!!!!!plz!!!!!!!!!!!!

Answers

Answer:

16

Step-by-step explanation:

By intersecting secants theorem:

[tex]9(2x - 17 + 9) = 8(8 + 10) \\ \\ 9(2x - 8) = 8 \times 18 \\ \\ 2x - 8 = \frac{144}{9} \\ \\ 2x - 8 = 16 \\ \\ 2x = 16 + 8 \\ \\ 2x = 24 \\ \\ x = \frac{24}{2} \\ \\ x = 12[/tex]

CE = 9 + (2x - 17)

CE = 9 + (2*12 - 17)

CE = 9 + (24 - 17)

CE = 33 - 17

CE =16

Twenty years ago, Mr. Davis purchased his home for $160,000. Since then, the value of
the home has increased about 5% per year. How much is the home worth today?

Answers

Answer:

The home is worth $424,528 today

Step-by-step explanation:

To get the worth of the home today, we are going to use the exponential formula

We have this as follows;

A = P(1 + r)^t

where A is the value of the house after some time t

P is the initial value the home was worth which is $160,000

r is the rate of increase in the price of the home which is 5% = 5/100 = 0.05

t is the number of years which is 20

substituting these values;

A = 160,000(1 + 0.05)^20

A = $424,528

Half of the sum of 3x and 4

Answers

Answer:

1.5x + 2

Step-by-step explanation:

(3x + 4)/2 = 1.5x + 2

Can someone answer these 3 plz like I need these so bad rn. I would really appreciate it if someone who knows it can answer and help me out! Thank you

Answers

Answer:

for the first photo the answer is 5x + 6(-x + 4) = 13

Step-by-step explanation:

if y equals to -x +4

then replace the y in this equation: 5x + 6y = 13  with this ( -x +4 ) its simple.

I cannot answer the other 2 photos at the moment but ill see if I can whenever else I have time.

A triangular prism has a height of 9 meters and a triangular base with the following dimensions.

What is the volume of the prism?

- 420 m^3

- 288 m^3

- 324 m^3

- 432 m^3

Answers

Answer:

V = 432 m³

Step-by-step explanation:

The volume (V) of a prism is calculated as

V = Ah ( A is the area of the base and h the height )

A = [tex]\frac{1}{2}[/tex] bh ( area of triangular base, with b the base, h the perpendicular height)

Here b = 16 and h = 6 , then

A = [tex]\frac{1}{2}[/tex] × 16 × 6 = 8 × 6 = 48 m²

Then

V = 48 × 9 = 432 m³

Seraphina is driving two hours to visit her family. For the first hour, she traveled at a speed of 60 miles per hour. Then, in the second hour, she traveled at a speed of 65 miles per hour. What is the percentage increase of Seraphina's speed? If necessary, round to the nearest tenth of a percent

Answers

Answer:

There was a %5 increase

Step-by-step explanation:

You just have to substract 65-60 and you get 5

Plzz help will mark brainliest don't do it for the points plzz!!!!

Answers

Answer:

Your answer will be A. positive correlation

Step-by-step explanation:

hope this helps :)

Find the slope between the two points, 1. (1. 7), (2, 4) 2. (-3, 5), (6,2)​

Answers

The first one is -3 , The second one is -1/3

(4-1) (4-1) (4-1)
please teach me this i will mark you brainliest answer​

Answers

Answer:

I think it's 27

Step-by-step explanation:

(4-1)(4-1)(4-1)

(3)(3)(3)

9×3

27

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