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.

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

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 :)

Answer:

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

Answer:

20/5 = 4

Step-by-step explanation:

the answer at the pic

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.

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:

Answer: 0.02777777777

Step-by-step explanation:

Answer:

Your answer will be A. positive correlation

Step-by-step explanation:

hope this helps :)

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.

Answer:11^3

Step-by-step explanation:

Answer:

easy bro 4/49

Step-by-step explanation:

that is the lowest it can go :)

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.

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

Answer:

I think it's 27

Step-by-step explanation:

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

(3)(3)(3)

9×3

27

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

Answer:

Step-by-step explanation:

The x-coordinate of P:

The y-coordinate of P:

The coordinates of point P are:

Correct choice is C

Distance from x axis

Distance from y axis

P(cosØ,sinØ

Answer:

5

Step-by-step explanation:

thanks for the points

Answer:

1.5x + 2

Step-by-step explanation:

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

Answer:

20700

Step-by-step explanation:

3 times 3 times 2300 = 20700

Answer:

-80%

Step-by-step explanation:

Answer:

There was a %5 increase

Step-by-step explanation:

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

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

Answer:

360° 2π rad 6.283185 rad

Answer:

number c

Step-by-step explanation:

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

the cosine of angle B

C. 0.767

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

Answer:

80 Degrees

Step-by-step explanation:

just flip and overlap the figure (in your mind)

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]

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

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