Quadrilateral abcd has vertices at a(0, 6), b(4, -1), c(-4, 0) and d(-8, 7). prove that:

(a) abcd is a rhombus using the distance formula
b) the diagonals of abcd are perpendicular

There are 1.5625 grams of the radioactive substance that would remain after 60 seconds.

The exponent of a number represents the total time required to multiply that number. 8 8 8 may be stated as 83 since 8 is multiplied by itself three times. In this case, 3 is the 'exponent' or 'power' that indicates how many times 8 is multiplied by itself, and 8 is the 'base' that represents the integer being multiplied.

The exponent is given as:

y = a (1 - r)ˣ

As per the question, we have

a = 100, and r = 0.50 and x = 6

Substitute the known values in the above formula, and we get

y = 100 × (1-0.50)⁶

y = 100 × (0.50)⁶

y = 100 × 0.015625

Apply the multiplication operation, a

y = 1.5625

So, after 60 seconds, 1.5625 grams of the radioactive substance would remain.

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Answer:

196

Step-by-step explanation:

Answer:

157.08 ft

Step-by-step explanation:

R = 20+5 = 25

Circumfrence = 2*pi*r = 2*pi*25 = 157.079 ft

[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=\stackrel{hypotenuse}{11 + x}\\ a=\stackrel{adjacent}{x}\\ b=\stackrel{opposite}{17}\\ \end{cases}\implies (11+x)^2=x^2+17^2 \\\\\\ (11+x)(11+x)=x^2+17^2\implies \stackrel{F~O~I~L}{121+22x+x^2}~~ = ~~x^2+289 \\\\\\ 121+22x=289\implies 22x=168\implies x=\cfrac{168}{22}\implies x=\cfrac{84}{11}\implies x=7\frac{7}{11}[/tex]

Answer:

let the number of persons be " x "

and , let each person get [tex]\frac{9000}{x}\\[/tex]rupees.

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let's first see why each person got [tex]\frac{9000}{x}\\[/tex] rupees ,

let us suppose each person gets an amount of " r " rupees.

then ,

[tex]x \times r = amount \: we \: have \: with \: us \\ \dashrightarrow{xr = 9000} \\ \dashrightarrow{ r = \frac{9000}{x}} [/tex]

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According to Question ,

hαd thєrє вєєn 20 mσrє pєrѕσnѕ, єαch pєrѕσn wσuld'vє gσt rupєєѕ 160 lєѕѕ.

hєncє, wє αrє nσw ín α ѕtαtє tσ frαmє αn єquαtíσn whích íѕ αѕ fσllσwѕ -

[tex]\fbox{(x + 20)(r - 160) = 9000}[/tex]

lєt'ѕ nσw plug ín thє vαluє σf r αѕ [tex]\frac{9000}{x}\\[/tex]

[tex](x + 20)( \frac{9000}{x} - 160) = 900 0\\ \\ \cancel{9000} + \frac{180000}{x} - 160x - 3200 =\cancel{ 9000} \\ \\ taking\:LCM, \\ \\ - 160x {}^{2} - 3200x + 180000 = 0 [/tex]

on dividing the complete equation by (- 160)

[tex]x { }^{2} + 20x - 1125 = 0[/tex]

now , use the method of splitting the middle term so that we get the value of x.

[tex]x {}^{2} + 45x - 25x - 1125 = 0 \\ \\ x(x + 45) - 25(x + 45) \\ \\ (x + 45)(x - 25) = 0 \\ \\ \fbox{x = - 45 \: \: or \: \: 25}[/tex]

since number of persons can't be negative. therefore ,

number of persons = x = 25

_____________________________

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hope helpful :D

Answer:

50

Step-by-step explanation:

add

9 + 1 = 10

multiply

10 * 5 = 50

Answer: 50

Answer:

20+2C

Step-by-step explanation:

sum means addition

if Craig's age is c than twice his age is 2xC, also expressed as 2C

20+2C

Answer:

$120

Step-by-step explanation:

Total Parts = 3+2+5 = 10

400 / 10 = $40 per part

Amy = 40 x 3 = 120

Answer:

p^​=368​=0.2222.95%CI=(0.2222−1.960.2222(1−0.2222)36,0.2222+1.960.2222(1−0.2222)36)=95%CI=(0.2222−1.96360.2222(1−0.2222)​​,0.2222+1.96360.2222(1−0.2222)​​)==(0.0864,0.3580).

=(0.0864,0.3580).

Step-by-step explanation:

flvs?

The 95% confidence interval for the given proportion is  (0.864, 0.3580).

In statistics, a confidence interval describes the likelihood that a population parameter would fall between a set of values for a given percentage of the time. Confidence ranges that include 95% or 99% of predicted observations are frequently used by analysts.

Given total samples = E = 36

number of outcomes  = 8

probability = p = 8/36 = 0.2222

value of z for 95% confidence interval = 1.96

intervals = p ± z([tex]\sqrt{\frac{p(1 - p)}{E} }[/tex])

taking positive sign

= 0.2222 + 1.96[tex](\sqrt{\frac{0.2222(1 - 0.2222)}{36} })[/tex] = 0.3580

taking negative sign

= 0.2222 - 1.96[tex](\sqrt{\frac{0.2222(1 - 0.2222)}{36} })[/tex]  = 0.0864

Hence, the intervals are  (0.864, 0.3580), and option A is a suitable answer.

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Answer:

It is neither.

Step-by-step explanation:

A whole number is all numbers is 0, 1, 2, 3, 4.... you get it

An irrational number is a number that cannot be written as a fraction and -2 can be written as -2/1

Answer:

Brand B is better

Step-by-step explanation:

Brand A's unit price is $0.24

Brand B's unit price is $0.21

Answer:

-3(x-2)×2+17=0

Each line they are adding 4.96

11.72 + 4.96 = 16.68

Answer:

the correct answer is 16.68

Answer:

5 bicycles

Step-by-step explanation:

5 * 2 = 10 wheels

7 * 3 = 21 wheels

10 + 21 = 31

Hope this helped! Brainliest :)

Answer:

The answer should be 9.2

Step-by-step explanation:

Im lowkey kinda lost in this one ngl

The area of each pizza is gotten by dividing the total area by the number of slices. Therefore, the area of two slices of that pizza is 31.4 inches².

Area is the amount of space occupied by a two-dimensional figure. In other words the area is the space occupied by a flat shape or the surface of an object.

Therefore, 20 inch pizza has an area of 314 inches². The pizza is divided into 8 equal slices.

Each area of the slices = 314 / 20

Each area of the slices = 15.7 inches²

Therefore, the area of two slices of the pizza is as follows:

area of two slices = 15.7 + 15.7 = 31.4 inches²

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The area is measured in square units because it is the product of two units which gives square unit.

Area is the amount of space occupied by a two dimensional shape or object.

The area of a rectangular park is gotten from the productiif the width and length, hence:

Area = length * width

The area is measured in square units because it is the product of two units which gives square unit.

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Answer: 666.22 m^3

Step-by-step explanation:

The formula for the volume of a right circular cone is: V = π*r^2*(h/

3)

Therefore, plugging in 14.1 for "r" and 3.2 for "h" yields 666.22

The figure below is composed of eight circles, seven small circles and one large circle containing them all. Neighboring circles only share one point, and two regions between the smaller circles have been shaded. Each small circle has a radius of 5 cm.

Answer:

15 and -26.

Step-by-step explanation:

Answer:

15 and -26

Step-by-step explanation:

just bc

Answer:

25²×3is the equivalent answer

Answer:

C.80

Step-by-step explanation:

37.9% of 192.3

=37.9/100 × 192.3

=0.379×192.3

=72.8817

≈80 (possible answer)

Answer:

(x - 2)(x - 1)(x + 1)(x + 2)

Step-by-step explanation:

[tex] {x}^{4} - 5 {x}^{2} + 4 \\ \\ = {x}^{4} - 4 {x}^{2} - {x}^{2} + 4 \\ \\ = {x}^{2} ( {x}^{2} - 4) - 1( {x}^{2} - 4) \\ \\ = ( {x}^{2} - 4)( {x}^{2} - 1) \\ \\ = (x + 2)(x - 2)(x + 1)(x - 1) \\ \\ = (x - 2)(x - 1)(x + 1)(x + 2)[/tex]

Answer:

[tex](x+1)(x-1)(x+2)(x-2)[/tex]

Step-by-step explanation:

To factorise  [tex]x^4-5x^2+4[/tex] :

Let [tex]x^2=u[/tex]

[tex]\implies x^4-5x^2+4=u^2-5u+4[/tex]

Now factorise  [tex]u^2-5u+4[/tex]

[tex]\textsf{for} \ ax^2+bx+c \ \textsf{find} \ v, w \ \textsf{such that} \ v \cdot w=a \cdot c \ \textsf{and} \ v+w=b[/tex]

[tex]\textsf{and group into} \ (ax^2+vx)+(wx+c)[/tex]

[tex]\implies v=-1, w=-4[/tex]

[tex]\implies u^2-u-4u+4[/tex]

Break into groups

[tex]\implies (u^2-u)+(-4u+4)[/tex]

Factor each parentheses:

[tex]\implies u(u-1)-4(u-1)[/tex]

Factor out common term [tex](u-1)[/tex]:

[tex]\implies (u-1)(u-4)[/tex]

Substitute back [tex]u=x^2[/tex] :

[tex]\implies (x^2-1)(x^2-4)[/tex]

Factor both parentheses using the Difference of Two Squares: [tex]a^2-b^2=(a+b)(a-b)[/tex]

[tex]\implies (x+1)(x-1)(x+2)(x-2)[/tex]

Therefore, the factorisation of [tex]x^4-5x^2+4[/tex] is

[tex](x+1)(x-1)(x+2)(x-2)[/tex]

Answer:

d

Step-by-step explanation:

The answer must be a multiple of 4, because 4q⁵rs⁴ is divisible by 4. Only option d has this condition.

Answer:

the guy above if right it is D

Step-by-step explanation:

I did the work on Acellus and pick D IT GAVE ME A CHECK MARK

The reason that supports the statement 7 in the given proof is D. Subtraction property of equality.

Subtraction property of equality is defined as, if an equation is of the form,

a = b,

then any number subtracted from both sides makes the equation same.

a - c = b - c

Here, given a proof for the value of x.

In the 6th step, by substitution,

55 = 5x + 10

This is an equation.

We need term in x on one side and a constant term on other side.

For that, if we subtract both sides by 10,

55 - 10 = 5x + 10 - 10

45 = 5x

So here the subtraction property of equality is used.

Hence the correct option is D.

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Answer:

30.84 cm

Step-by-step explanation:

Formula for perimeter of semi-circle = πr + 2r

Radius (r) = 6 cm

π = 3.14

Perimeter

= πr + 2r

= 3.14(6) + 2(6)

= 3.14(6) + 12

= 18.84 + 12

= 30.84 cm

_________

Hope it helps ⚜

Answer:

30.85 cm to 2 d.p.

Step-by-step explanation:

The perimeter is made up of the diameter ( = 2*radius) and half a full circle

= 6*2 + 1/2 * π* 6

= 12 + 3π

= 30.849