The diagonal BD cuts the quadrilateral
ABCD into a right triangle, ABD, and an
equilateral triangle BCD. The dimensions are
given in inches. How many inches long is
DC?
Hint: Equilateral triangles have three equal
sides

Answer:

Assuming the length to be x and the width to be y.

Since the area is 64cm, hence

x*y = 64 (equation 1)

Since the perimeter is 40cm, hence

x + x + y + y = 40

2x + 2y = 40

2(x + y) = 2(20)

x + y = 20 (equation 2)

Hence by using simultaneous equation,

x = 20 - y (equation 3)

Substituting equation 3 into equation 1, we get

(20-y)*y=64

20y-y^2=64

Tidying up the equation,

y^2 - 20y + 64 = 0

By using factorisation,

(y-16)(y-4)=0

y=16 or y=4

By substituting y=16 into equation 1,

x*16=64

x = 4

By substituting y = 4 into equation 1,

x*4=64

x=16

Therefore,

The length is 4 cm while the width is 16 cm.

OR

The length is 16 cm while the width is 4cm.

Hope this helps!!

Answer:

108 seconds i belive

Step-by-step explanation:

40 x 2 = 80 seconds and if you add the 9ft 108 seconds

Assuming that the ".." at the end of the number represents it being continuous, then it would be irrational.

0.121121112.. is an irrational number but not rational.

A number system is defined as a system of writing to express numbers.

0.121121112... is rational or irrational is to consider its decimal representation and whether it is a repeating or terminating decimal.

We can see that 0.121121112... is not a terminating decimal because it goes on forever.

Additionally, it is not a repeating decimal because there is no fixed pattern of digits that repeats continuously.

Therefore, we can conclude that 0.121121112... is an irrational number.

To learn more on Number system click:

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Answer:

option  C

Step-by-step explanation:

12 Is 1 pound

so 32 plus 1 is 33

I hope this helped!

Answer:

[tex]\{\ldots -89,-42,5,52,99,\ldots\}[/tex]

Step-by-step explanation:

His number must be an integer multiple of 47, plus 5.

[tex]47n+5[/tex]  where n  is any integer.

I think 2,492.

But you said round so maybe 2,500.

Answer:

1) c = 25 cm

2) a = 11.532562594 cm

I hope it's helps you

Step-by-step explanation:

Using Pythagoras Theorem:

[tex]c = \sqrt{{a}^{2} + {b}^{2} }[/tex]

7.

[tex]c = \sqrt{ {a}^{2} + {b}^{2} } \\ c = \sqrt{ {24}^{2} + {7}^{2} } \\ c = \sqrt{625} \\ c = 25[/tex]

8.

[tex]a = \sqrt{ {c}^{2} - {b}^{2} } \\ a = \sqrt{ {13}^{2} - {6}^{2} } \\ a = \sqrt{133} \\ a = 11.5[/tex]

(cor. to the nearest tenth)

Answer: 187

Step-by-step explanation:

Given

Dimension of stone is [tex]1\ m\times 80\ cm[/tex]

Dimension of compound [tex]13.6\ m\times 11\ m[/tex]

Area of the stone

[tex]\Rightarrow a=1\times 0.8=0.8\ m^2[/tex]

Area of compound

[tex]\Rightarrow A=13.6\times 11=149.6\ m^2[/tex]

No of the stones needed is

[tex]\Rightarrow n=\dfrac{A}{a}\\\\\Rightarrow n=\dfrac{149.6}{0.8}\\\\\Rightarrow n=187[/tex]

Thus, 187 stones are needed

Step-by-step explanation:

F) Nine hundred thirty two and 76 hundredth

hope it is helpful to you

Answer:

f(x) = -4x + 21

Step-by-step explanation:

Given:

(4, 5) and (2, 13)

Required:

Linear function of that passes through the given points

Solution:

We need to determine the slope (m) and y-intercept (b) of the function.

✔️Finding the slope using the points given:

Slope (m) = change in y/change in x

= (13 - 5)/(2 - 4)

= 8/-2

m = -4

✔️To find y-intercept (b), substitute (x, f(x)) = (4, 5) and m = -4 into f(x) = mx + b

5 = -4(4) + b

5 = -16 + b

5 + 16 = b

b = 21

✔️To write the function, substitute m = -4 and b = 21 into f(x) = mx + b

f(x) = -4x + 21

Answer:

y = 50 + 35x we dont know how many hours they worked

Step-by-step explanation:

Answer:

x = 12, x = -4.

Step-by-step explanation:

x² - 8x - 48 = 0.

This factors to (x - 12)(x + 4) = 0.

Proof:

(x - 12)(x + 4) = 0

first: x * x

outer: 4 * x

inner: -12 * x

last: -48.

first: x²

outer: 4x

inner: -12x

last: -48

x² + 4x - 12x - 48

x² - 8x - 48.

To find the zeros, take the individual pairs and find the values that make the equation 0.

x - 12 = 0

Add 12 to both sides.

x = 12.

x + 4 = 0

Subtract 4 from both sides.

x = -4.

Answer:

x= 4 + 2√5, x = 4 - 2√5

Step-by-step explanation:

So this is quadratics so you can solve it by completing the square and using the quadratic formula. The quadratic formula is x = (-b±√(b²-4ac)) / (2a).

Answer:

101

Step-by-step explanation:

180-79=101

have a great day

Answer:

the value of x is 101 degrees

Answer:

4 × 10^4

→ 4× 10000

→ 40000

Correct option → 40000

hope it helped :)

Answer:

165 po ang sagot

Step-by-step explanation:

yan po talaga ang sagot

Answer:

with 3 lenght

Step-by-step wexplanation:

Answer:

105

Step-by-step explanation:

< 7 is also 105- they are alternate exterior angles

Answer:

Step-by-step explanation:

[tex] \frac{12}{3} = 4 \\ 3 \times 4 = 12[/tex]

Twelve can be used to divide 3 without having a remainder.

Answer:

yes

Step-by-step explanation:

The factor of 12 are:

1, 2, 3, 6, 12

Answer:

Parameter of given regular hexagon = 22.32 mi (Approx.)

Step-by-step explanation:

Given:

Area of given regular hexagon = 36 mi²

Find:

Parameter of given regular hexagon

Computation:

Area of regular hexagon = [(3√3)/2]a²

[(3√3)/2]a² = 36

a² = [36 x 2] / 3√3

a² = [12 x 2] / √3

a² = 24 / √3

a² = 8√3

a² = 8 x 1.732

a² = 13.856

Side a = 3.72 mi (Approx.)

Parameter of given regular hexagon = 6 x Side

Parameter of given regular hexagon = 6 x 3.72

Parameter of given regular hexagon = 22.32 mi (Approx.)

Answer:

336 in²

Step-by-step explanation:

Surface area of triangular prism = bh + (s1 + s2 + s3)H

Where,

b = 6 in

h = 8 in

s1 = 10 in

s2 = 6 in

s3 = 8 in

H = 12 in

Surface area of triangular prism = 6*8 + (10 + 6 + 8)12

= 48 + (24)12

= 336 in²

Answer:

g(x) = 6x - 8

h(x) = 2x^2 + 4x - 5

Step-by-step explanation:

g(x) = 6x - 8

h(x) = 2x^2 + 4x - 5

Answer:

i think option C is correct hope it helps

Answer:

C) 2,376.79 m squared

Step-by-step explanation:

Answer:

Hi

Step-by-step explanation:

I have the same question, did you figure it out?

Answer:

2

Step-by-step explanation:

A quadrilateral is a polygon and A triangle is a polygon. I think

Answer:

The rectangle is 5 inches long by 19 inches wide.

Step-by-step explanation:

Let's start by listing what we know:

Let's represent the width with "w" and length with "l", and make a system of equations based on what we know.

[tex]\left \{ {{2w + 2l = 48} \atop {w = 3l + 4}} \right.[/tex]

Now, let's solve the system of equations using substitution:

[tex]2w + 2l = 48[/tex]

[tex]2 (3l + 4) + 2l = 48[/tex]

[tex]6l + 8 + 2l = 48[/tex]

[tex]8l + 8 = 48[/tex]

[tex]8l = 40[/tex]

[tex]l = 5[/tex]

The length of the rectangle is 5 inches.

Now, let's use this to solve for the width.

[tex]w = 3l + 4[/tex]

[tex]w = 3(5) + 4[/tex]

[tex]w = 15 + 4[/tex]

[tex]w = 19[/tex]

The width of the rectangle is 19 inches.

Let's check our work:

[tex]2w + 2l = 48[/tex]

[tex]2(19) + 2(5) = 48[/tex]

[tex]38 + 10 = 48[/tex]

[tex]48 = 48[/tex]

The results match, so our answer is correct.

The rectangle is 5 inches long by 19 inches wide.

Answer:

The probability that Jones is lying is 6/7

Step-by-step explanation:

First we will list out 2 different cases when the outcome is a lie

1.probability that Jones tells lies is = 0.6 and probability that dalgiliesh analyses it correctly is 0.8

So the probability that dagliesh correctly analyses that he is telling lies is 0.8*0.6=0.48

2.Probability that Jones tells truth is 0.4 and if dagliesh analyses it incorrectly (which has a probability of 0.2) the outcome(as analysed by dagiliesh) is a lie

So probability that dagliesh analyses Jones truth as a lie is 0.2*.0.4=0.08

Total probability of outcome being a lie is 0.48+0.08=0.56

But we need the probability of Jones actually saying a lie which is nothing but 0.48/0.56= 6/7

Answer:

A and D are the true number sentences

Answer:

Oof I have no idea 0_0

Step-by-step explanation:

I dont have brainly plus but I still have unlimited access...

I'm so sorry!!!

Have a nice day <3