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:

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:

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:

165 po ang sagot

Step-by-step explanation:

yan po talaga ang sagot

Answer:

with 3 lenght

Step-by-step wexplanation:

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:

A and D are the true number sentences

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:

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:

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:

105

Step-by-step explanation:

< 7 is also 105- they are alternate exterior angles

I think 2,492.

But you said round so maybe 2,500.

Step-by-step explanation:

F) Nine hundred thirty two and 76 hundredth

hope it is helpful to you

Answer:

Hi

Step-by-step explanation:

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

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

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:

2

Step-by-step explanation:

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

Answer:

option  C

Step-by-step explanation:

12 Is 1 pound

so 32 plus 1 is 33

I hope this helped!

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: 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

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:

[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.

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.)

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:

https://brainly.com/question/22046046

#SPJ2

Answer:

i think option C is correct hope it helps

Answer:

C) 2,376.79 m squared

Step-by-step explanation:

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:

108 seconds i belive

Step-by-step explanation:

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