This is a plan view of a garden. The grass (shaded) has an area of 64 square metres. What is the length of the sides labelled x?
A. 5.5m
B. 6.0m
C. 6.8m
D. 9.0m
Please answer

Answer:

length = 18 ft

Step-by-step explanation:

A(rect) = 9l

A(trap) = 1/2(9)(24+12)  →  4.5(36)  → 162

9l = 162

l = 162/9

l = 18

=====================================================

How to get the answer:

We first need to compute the area of the trapezoid

area of trapezoid = height*(base1+base2)/2

A = h*(b1+b2)/2

A = 9*(12+24)/2

A = 9*(36/2)

A = 9*18

A = 162

The trapezoid has an area of 162 square feet.

---------

The rectangle also has an area of 162 sq ft.

area of rectangle = length*width

A = L*W

A/W = L

L = A/W

L = 162/9

L = 18

The length of the rectangle is 18 feet.

---------

Side note: both rectangle and trapezoid have the same height (9 feet). Notice how the average of the 12 ft and 24 ft sides leads to 18 ft, which is exactly the value of L. It's not a coincidence these two facts line up.

Answer:

it does not, it equals 18

Step-by-step explanation:

9+9=18 - true

9+9=6 - false

Answer:

Step-by-step explanation:

number 1

Answer:

m∡r = 35°

m∡t = 145°

m∡u = 35°

m∡v = 90°

m∡w = 125°

Step-by-step explanation:

m∡r = 180-(134+11)

= 180 - 145

m∡r = 35°

m∡r + m∡t = 180°

35 + t = 180

m∡t = 145°

m∡t + m∡u = 180°

145 + u = 180

m∡u = 35°

m∡u + m∡v + 55° = 180°

35 + 55 + m∡v = 180

m∡v = 90°

m∡w + 55° = 180°

m∡w  = 125°

B no ........................

Answer:

Step-by-step explanation:

How to Estimate Aquarium Water Volume

You can estimate the amount of water that a tank can hold by using the volume formula for the shape of your tank. The process is similar to calculating tank volume for other tanks, but the formulas are a bit different for different aquarium shapes.

You’ll need a different formula to find the volume for rectangular, bow front, cylindrical, and other aquarium shapes.

Tank Volume Formulas

See the volume formulas for various aquarium fish tank styles below.

Rectangular Tank Formula

tank volume = l × w × h

l = tank length

w = tank width

h = tank height

Answer:

k=-6-6=-12

Im pretty sure that's the answer

Answer:

its b

Step-by-step explanation:

Answer:

The answer would be $67.2.

Step-by-step explanation: The answer would be $67.2. Take 80, divide it by 100 to get 1% of 80, 0.80. Now since you are taking 16% off the original price (100%), you multiply 0.80 (1%) by 84 (for 84% price), to get $67.2. This means, after the markdown, the 80$ item is now $67.2

Answer:

Y=X/3+3

Step-by-step explanation:

M= Y2-Y1/X2-X1

  = 5-6/6-9

  = -1/-3

  = 1/3

sub x=6, y=5, M=1/3 into Y=MX+C

5=6/3+C

5=2+C

5-2= 2+C-2

3=C

The measurement  of ∠ ABC in  [tex]\triangle ABC[/tex], When AB =√2,  AM = 1. BM = 1, BC = 2 will be [tex](\cos^{-1}{5)[/tex].

The measures of angle ∠ ABC can be calculated as:

The Law of Cosines, states that:

[tex]c^2 = a^2+ b^2 - 2ab \cos (C)[/tex]

Where, c is the side opposite angle C, and a and b are the other two sides of the triangle.

The sides of ∆ ABC will be :

AB = [tex]\sqrt{2}[/tex] (given)

BC = 2 (given)

[tex]AC = 1 + \sqrt{MC}[/tex]

∆ ABC is a triangle and according to the triangle inequality theorem,  the  The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

So:

BC+AB > AC

[tex]2+\sqrt 2 > 1 + {\overline{MC}}[/tex]

[tex]\sqrt 2 +1 > \overline{MC}[/tex]

The law of cosines for [tex]\angle ABC[/tex] can be calculated as:

[tex]{BC}^2 = {AB}^2 + {AC}^2 - 2.AB.AC.cos(\angle ABC)[/tex]

The values can be obtained by the substitution.

[tex]2^2 = (\sqrt2)^2 + (1+{\overline {MC)}^2 - 2.\sqrt2 > (1 +{\overline{MC}).cos (\angle ABC)[/tex]

[tex]4 = 3 +2.\overline{MC} + \overline{(MC})^2 - 2. (\sqrt2. (1+ \overline{MC}).cos (\angle ABC)[/tex]

This can be simplified as:

[tex]0 = 3 + 2.\overline{MC} + \overline{MC})^2 - 2. (\sqrt2. (1+ \overline{MC}).cos (\angle ABC)[/tex]

The value of [tex]\overline{MC}[/tex] can be calculated as:

[tex]\sqrt 2+1 > \overline{MC}[/tex]

Substitute the value in the equation,

[tex]0 = 3+2.(\sqrt2+1) + (\sqrt2+1)^2 - 2.\sqrt2. (1+ \sqrt2+ 1).cos (\angle ABC)[/tex]

[tex]0 = 3+2 \sqrt2+4+2\sqrt2+1-2\sqrt2-2-2\sqrt2-2\sqrt2- 2.cos (\angle ABC)[/tex]

[tex]0 = 10 - 2.cos (\angle ABC)[/tex]

Thus, the value of cos [tex](\angle ABC)[/tex]  is calculated as:

[tex]cos (\angle ABC) = \dfrac{10}{2}[/tex]

[tex]cos(\angle ABC) = 5[/tex]

Thus, the value of[tex](\angle ABC)[/tex] is [tex](\cos^{-1}{5)[/tex].

Learn more about angles here:

https://brainly.com/question/14569348

#SPJ12

Answer:

Its already in factored form.

Step-by-step explanation:

Answer:

x^2 - 4x - 12

Step-by-step explanation:

Using FOIL (first, outside, inside, last), multiply each term in the order:

you should get ---> x^2 + 2x - 6x - 12

now, add like terms

you should get ---> x^2 - 4x - 12

Answer:

the answer is A. it good answer

Step-by-step explanation:

1 Use the Quadratic Formula.

x=\frac{2+2\sqrt{14}\imath }{30},\frac{2-2\sqrt{14}\imath }{30}

x=

30

2+2

14



,

30

2−2

14



2 Simplify solutions.

x=\frac{1+\sqrt{14}\imath }{15},\frac{1-\sqrt{14}\imath }{15}

x=

15

1+

14



,

15

1−

14



Done

Answer:

-2°C is the answer

Step-by-step explanation:

Hope this helps:)

Answer:

R3. alternate interior angles

( alternate interior angles are always congruent )

S4. AC = CA

R5. ASA triangle congruence property

( you have 2 angles and the included side, so you know they're congruent )

lmk if you want an actual explanation

Answer: Please upload the image or PDF.

Hi! I'll try to help

It gives you two equations, one for "x" and one for "y"

All you have to do is replace the variable "y" with its value in the second equation. Might be kind of confusing so let's do one.

y=4x

3x-y=1

Since we know that "y" is the same as 4x, you can rewrite the equation as

3x-4x=1

Next, all you have to do is combine like terms as solve "3x-4x" which is -x

Let's rewrite the equation, then:

-x=1

You can simplify it to

x=-1

by dividing both sides by negative one, in other words swapping the negative sign so that "x" is positive

Answer:

6) y=-2

7) w=15

8) x=1

Answer: [tex]\frac{17}3}[/tex] or 17:3

Step-by-step explanation:

Since Lydia got 17 out of 20 questions correct, that means she got 3 out of 20 incorrect. To get the ratio of correct (17) to incorrect (3) answers, we can simply divide the two numbers as follows:

[tex]\frac{17}3}[/tex] or 17:3

Since this ratio is already in simplest terms, this is the final answer.

Step-by-step explanation:

5/6 ×9/5

Multiply the denominators and the numerators separately; that is:

5×9 and 6×5

45 and 30

=45/30

=3/2(simplified)

Answer:

1.5

Step-by-step explanation:

Answer:

2000 families read the newspaper in the Nepali language.

1800 families read it in the English language.

3800 families read the newspaper in both.

Step-by-step explanation:

#1. individual

convert % to decimal ( x ÷ 100 )

0.5 x 4000 = 2000

0.45 x 4000 = 1800

#2. together

2000 + 1800 = 3800

OR

50 + 45 = 95

95 ÷ 100 = 0.95

0.95 x 4000 = 3800

Answer:

-39 2/3

Step-by-step explanation:

t - 122= 2t - 3

subtract 't' from each side to get:

-122 = 3t - 3

add 3 to each side to get:

-119 = 3t

divide each side by 3 to get:

t = -39 2/3

Answer:

  x = 3

Step-by-step explanation:

The two marked angles form a linear pair, so are supplementary. Their sum is 180°.

  (3x +136)° +(5x +20)° = 180°

  8x +156 = 180 . . . . . . . . . . . divide by °, collect terms

  8x = 24 . . . . . . . . . . . . . . subtract 156

  x = 3 . . . . . . . . . . . . . . divide by 8

_____

Additional comment

We suspect the intended answer for the second question is A 25° and 65°. These are possible measures for the acute angles in a right triangle, which must total 90°. No angle will be more than 90° (eliminates C and D), and the two smallest angles must total 90° (eliminates B).

Answer:

2 terms

Step-by-step explanation:

hope this helps! :D

have a MIRACULOUS day!! <3

65*2x=_________

32x+1=_________

x=65*2x=32x+1

`this is the solution `

Step-by-step explanation:

you can clarify on that please

Answer:

[tex]5xy^4[/tex]

Step-by-step explanation:

[tex]\frac{15x^3y^5}{3x^2y}[/tex]

= [tex]\frac{3\cdot \:5x^3y^5}{3x^2y}[/tex]

= [tex]\frac{5xy^5}{y}[/tex]

= [tex]5xy^4[/tex]

Answer:

16 pennies, one dime and 1 nickel and 1 penny, 3 nickels and 1 penny.

Step-by-step explanation:

Answer:

1 dime, 1 nickel, 1 penny

Step-by-step explanation:

1 dime= 10 cents

1 nickel= 5 cents

1 penny= 1 cent