frank has a board that is 5/8 yards long he cuts off a piece that is 3/5 the length of the board how long is the piece of the board frank cutt off?​

Answer:

Since you are looking for the scale factor of ABC to DEF the answer is 8 because DEF is 8 times larger than ABC

Step-by-step explanation:

Exact Answers:

Approximate Answers:

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Explanation:

Your diagram is 100% correct. Nice work.

To get the area of the trapezoid, we could use the area of a trapezoid formula below:

A = h*(b1+b2)/2

In this case, we have,

the bases are parallel to each other. The height is always perpendicular to the base. We won't use the "14" at all.

So,

A = h*(b1+b2)/2

A = 7*sqrt(3)*(18+25)/2

A = 7*sqrt(3)*21.5

A = (7*21.5)*sqrt(3)

A = 150.5*sqrt(3)

This is the exact area.

The approximate area is roughly

150.5*sqrt(3) = 260.673646539

The units for the area are in square km, or km^2. Though your teacher said for you not to include the units.

Another way to get the area of the trapezoid is to break the diagram into a rectangle and triangle as you have done so, and then find the area of each sub-piece. Adding the two smaller areas should lead to the result shown above.

-----------------------------------

To get the perimeter, we add up all of the exterior sides. We do not include the right-most vertical line that is 7*sqrt(3) km long because it is inside the figure. The horizontal segment that is 7 km long is part of the "25 km" segment, so we'll ignore that 7.

Adding the four exterior sides leads to:

7*sqrt(3)+18+14+25 = 57+7*sqrt(3)

This value is exact. It approximates to

57+7*sqrt(3) = 69.12435565

The units for the perimeter are in kilometers, and you won't have any exponent over the "km". While your teacher doesn't want the units, it's still handy to know what the units would be.

Step-by-step explanation:

solution given:

for rectangle

length [l]=18km

breadth [b]=7√3 km

for triangle

base[b1]=25-18=7km

height [h]=b=7√3km

for area :area of. (rectangle +triangle}=

l×b+1/2 b1×h=18×7√3+1/2 ×7×7√3=260.67km²

now

perimeter=sum of all sides

=18+14+25+7√3=69.12km

is your answer

Answer:

Line of reflection → x = 1

Step-by-step explanation:

Coordinates of B → (3, 2)

Coordinates of B' → (-1, 2)

If point B is reflected across a vertical line x = a, both the points B and B' will be equidistant from the line of reflection.

Coordinates of the midpoint of the segment joining B and B'

= [tex](\frac{x_+x_2}{2},\frac{y_1+y_2}{2})[/tex]

= [tex](\frac{3-1}{2},\frac{2+2}{2})[/tex]

= (1, 2)

Line of reflection will pass through this midpoint (1, 2)

Therefore, equation of the line of reflection will be,

x = 1

Answer:

20,90 for the first one

50% for second one

Answer:

e=1

Step-by-step explanation:

2e=2

Divide both sides by 2

2e/2=2/2

Simplify

e=1

ANSWERED by NONE other than the #QUEEN herself aka #DRIPPQUEENMO!!

HOPE THIS HELPED!!

Answer:

Step-by-step explanation:

7(x + 4) > 0

x+4 > 0

x > -4

Answer:

x>4

Step-by-step explanation:

7(x+4)>0

distrubute

7x+28>0

subtract 28 from both sides

7x>28

divide both sides by 7

x>4

Hope that helps :)

Answer:

1.37

Step-by-step explanation:

I just used my calculator lol

Answer: A

Step-by-step explanation:

I just took the USATESTPREP quiz and that is the answer.

 Option (C) will define the changes in the graph of the function with the values of 'd'.

 Given function in the question → y = alog(x + c) + d

Rules for the translation of a function,

 Hence, in the given function y = alog(x + c) + d, positive value of 'd' will define the shifting of the parent function upwards.

And for the negative value of 'd' will define the shift of the function downwards.

     Option (C) will be the correct option.

Learn more,

https://brainly.com/question/16770247

Answer:

radius =1.1618m

Step-by-step explanation:

circumference of circle =7.3m

2πr=7.3

r=7.3/(2π)=1.1618m

Answer:

If Angle 1 is 110,

then the second angle to complete the straight angle (180 degrees) is...

180 - 110 = 70

Angle 2 = 110 (same as Angle 1, plus it's obtuse)

Angle 3 = 70 (it's acute)

Angle 4 = 70 (same as Angle3, plus it's acute)

Answer:

Step-by-step explanation:

This is not a function.

A function has to have 1 y associated with each x. This relationship has 2 except for 1 point (the vertex at 3,0).

You can write a domain and range for it.

The domain is

- infinity < x < 3

The range is

-infinity  < x < + infinity.

Answer:

x=13

Step-by-step explanation:

Since both angles are vertical angles and are therefore congruent, the expression is equal to 114.

7x+23=114

Subtract 23 from both sides.

7x=91

Divide both sides by 7.

x=13

Answer:

I think it is the vertical line test. If you have any other questions let me know! :)

Answer:

Well I’m not sure what you want but I’ll give you both,

The perimeter is 25 units

The area is 28.5 units ^2

Step-by-step explanation:

Well to find perimeter just count every unit which is what I did and got 25 units.

To find the area jsut split them into two shapes and find the area for both.

Triangle formula: bh/2

Rectangle: Lw

Well we have 3 for base and 3 for height.

3*3=9

9/2=4.5

4.5 is the triangle

We got 3 for width and 8 for length

3*8=24

24 is the rectangle

Add them up

24+4.5= 28.5

28.5 units

Answer:

28.5?

Step-by-step explanation:

I did this a while ago in 5th grade

Answer:

107 %

3 %

100 /8

Step-by-step explanation:

The exact quotient is 876.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

21,900 / 25

Now,

Using long division,

25 ) 21,900 ( 876

      200

         190

         175

           150

            150

              0

We see that,

The quotient is 876.

Thus,

The exact quotient is 876.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ5

Answer:

See below

Step-by-step explanation:

[tex]9.( {m}^{3} {n}^{5} )^{ \frac{1}{4} } \\ = m^{\frac{3}{4}}n^{\frac{5}{4}}\\ \\ 10. \sqrt[5]{ \sqrt[4]{x} } \\ = \sqrt[5]{ {x}^{ \frac{1}{4} } } \\ = {( {x}^{ \frac{1}{4} } )}^{ \frac{1}{5} } \\ = {x}^{ \frac{1}{4} \times \frac{1}{5} } \\ = {x}^{ \frac{1}{20} } \\ \\ \sqrt[5]{ \sqrt[3]{ {a}^{2} } } \\ = \sqrt[5]{ {a}^{ \frac{2}{3} } } \\ = {( {a}^{ \frac{2}{3} } )}^{ \frac{1}{5} } \\ = {a}^{ \frac{2}{3} \times \frac{1}{5} } \\ = {a}^{ \frac{2}{15} } [/tex]

Answer:

Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)

answer:

2y(x³+4x-2x²-8)

Part B: Factor the entire expression completely. Show the steps of your work. (6 points)

answer:

2y(x³+4x-2x²-8)

2y(x³-2x²+4x-8)

2y(x²(x-2)+4(x-2))

2y(x²+4)(x-2)

Answer:

θ = 47.312447

Step-by-step explanation:

I assume you are trying to find θ

The first thing you do is to find θ is to do the acos of 0.678

θ = acos(0.678)

θ = 47.312447

Answer:

3. 108.982 feet per second

so yes faster than 100 feet per second

4.

5. 46.336°

6. 31.999°

7. 73.301°

8. 18.435°

Step-by-step explanation:

3. tan(16)= 250/x

x=250/tan(16)

x= 871.853611

speed=871.853611/8

= 108.982 feet per second

so yes faster than 100 feet per second

4. I do not understand the formulation of the question

5. sinx= 3.4/4.7

asin*(to the power of -1)*(3.4/4.7)=x

x=46.336

6.tanx=4,532/7253

atan*(power -1)* (4,532/7253)=x

x=31.999

7.tanx=500/150

x=73.301

8. tanx=30/10

atan(30/10)=x

x=71.56505118

90-71.56505118=18.43494882(the final angle)

Answer:

dV ≈ 927.4 cm³

Step-by-step explanation:

Formula for volume of a cylinder is;

V = πr²h

Using differentials, we have;

dV = (dV/dr)dr + (dV/dh)dh

Now, dV/dr = 2πrh

dV/dh = πr²

Thus, at r = 24/2 = 12 cm

And at h = 60 cm, we have;

dV/dr = 2π(12 × 60)

dV/dr = 4523.89 cm²

Also;

dV/dh = π(12)²

dV/dh = 452.39 cm²

the metal in the top and bottom is 0.1 cm thick. Thus, dr = 2 × 0.1 = 0.2

the metal in the sides is 0.05 cm thick. Thus; dh = 0.05

Thus;

dV = (4523.89 × 0.2) + (452.39 × 0.05)

dV ≈ 927.4 cm³

Answer:

582/800 * 581/799

brr i do NOT want to calculate that

Answer:

5 X 4

Step-by-step explanation:

If you plot the dots, youll obviously see a rectangle. The height of the rect. is 4, while the length is 5, so the measurements would be 5 x 4.

Hope this helped!!

Answer:  -7j+3

Step-by-step explanation:Simplify

Step-by-step explanation:

11500-98000 = 17000

11000-5200 = 5800

17000+5800 - 2300 + 900 + 300 = $21700

Answer: Abby's net worth would be around $21,400. $127,000 in assets, and around 105,000 in liabilities.

Step-by-step explanation: With the given information I added up the total and got around 127,000 in assets and 105,000 in liabilities, and when subtracted you will get Abby's net worth (answer), 21,400.

Hope This Helped, Have Great Day!