whats 5/6 x 2/9 in simplest form

Answer:

since ABC and ADE are similar,they have equal areas.

(AC)^2/(AE)^2=area ABC/ADE

areaABC=ACE=1

so substitute it in the afformentioned equation

u will get,AC=AE

The length of side CA in triangle ABC is c * (a² + ab + ac) / (a * (a + b + c)).

To find the length of side CA in triangle ABC, we need to use the concept of similarity and corresponding sides. Let's denote the lengths of sides in each triangle:

Triangle ABC:

Length of side AB: a

Length of side BC: b

Length of side CA: c

Triangle ADE:

Length of side AD: x (corresponding to side AB in ABC)

Length of side DE: y (corresponding to side BC in ABC)

Length of side EA: z (corresponding to side CA in ABC)

Since triangles ABC and ADE are similar, their corresponding sides are in proportion:

AD/AB = DE/BC = EA/CA

We know that AD corresponds to AB, and DE corresponds to BC, so we can set up the following proportions:

x/a = y/b

Solving for y, we get:

y = (b * x) / a

Next, we can set up the proportion for EA/CA:

z/c = x/a

Solving for z, we get:

z = (c * x) / a

Now, we have expressions for y and z in terms of x, a, and b. Since the sum of the lengths of the sides of a triangle is always constant, we can write the equation:

x + y + z = a + b + c

Substituting the expressions for y and z:

x + (b * x) / a + (c * x) / a = a + b + c

To find the value of x, we can multiply the entire equation by a to eliminate the denominator:

a * x + b * x + c * x = a² + ab + ac

Combining the x terms:

x * (a + b + c) = a² + ab + ac

Dividing both sides by (a + b + c):

x = (a² + ab + ac) / (a + b + c)

Now that we have found the value of x, we can substitute it back into the expression for z:

z = (c * x) / a

z = (c * (a² + ab + ac) / (a + b + c)) / a

Simplifying:

z = c * (a² + ab + ac) / (a * (a + b + c))

Thus, we have found the length of side CA in triangle ABC:

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Answer:

40

Step-by-step explanation:

Given :-

z = -1/4

Inputting the values :-

2/z + 3/z²

2/(-1/4) + 3/(-1/4)²

(2 x -4) + (3 x 16)

-8 + 48

= 40

Solution :-

40

Answer:

40

Step-by-step explanation:

[tex]\dfrac{2}{z}+\dfrac{3}{z^2}[/tex]

[tex]\textsf{if} \ z=-\dfrac14[/tex]

[tex]\implies \dfrac{2}{-\frac14}+\dfrac{3}{(-\frac14)^2}[/tex]

[tex]\implies -\dfrac{2}{\frac14}+\dfrac{3}{\frac{1}{16}}[/tex]

[tex]\implies -2 \times 4+3 \times 16[/tex]

[tex]\implies -8+48[/tex]

[tex]\implies 40[/tex]

Answer:

B, 34 degrees

Step-by-step explanation:

Since all triangles equal to 180 degrees, you have to add together the angles you already know and subtract from 180.

123+23=146  180-146=34

Hopefully this helps, have a nice day/night!

Answer:

C. y = 1/8x

D. y = x - 133

Step-by-step explanation:

In order to find the answer, you have to think about the answer choices

A. is saying that if you multiply 152 by 8, you will get 19 which is definitely not true

B. is saying that y is equal to 152/133 which is not true since 152/133= 8/7 which is some wacky decimal

C. would make sense because if you divide 152 and 8, you will get 19

Which makes the equation true because if you multiply 1/8 by 152/1, you get 152/8 which simplifies to 19 which satisfies the equation

D. This would also make sense since 152-133=19

So at the end, we can come to a conclusion that:

C. and D. are the equations that satisfy the relation

Answer:

Step-by-step explanation:

Use slope formula:

1) Points (1, 2) and (5, 4)

2) Points (1, -5) and (3, 5)

3) Points (2, 3) and (-1, 6)

4) Points (4, 2) and (-2, 2)

Answer:

1/5, 1, decreasing, 0

Step-by-step explanation:

Answer:

Step-by-step explanation:

The triangles are similar because they have two sides and the angle between them (EFG) respectively equals, and it’s evident the factor between the two triangles is 2. So EG=2CB=2*8=16

Answer:

the value of EG is 20.

Step-by-step explanation:

3×4 = 12, AB and EF is similar but the value of AB is multiplied by 4 to become 12 for EF.

similarly, 4×4 = 16, BC and FG is similar but the value of BC is multiplied by 4 to become 16 for FG..

In this way, AC and EG are also similar so 5×4 = 20.

All the values are multiplied by 4 ...

Answer:

is it 150?

Step-by-step explanation:

Answer:

288

this 8s because 72 x 4 is 288 2x4 is 8 and 4x72 is 28 so the answer is 288

Answer:

B - 84.69

Step-by-step explanation:

The answer is b because you have to multiply 7 by 12 then you'll get 84

Answer:

A

Step-by-step explanation:

because you have to multiple 7 by 12 then you will get 84.70

Answer:

Jayla's expenses are: $245.00

Jayla's revenue from the sales are: $479.00

Total profit: $234.00

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

Hope this helps! This should be correct !

Answer:

- $245

+ $479

+ $234

Step-by-step explanation:

expenses : (25 x 2) + (15 x 3) + (30 x 5) = 50 + 45 + 150 = 95 + 150 = $245

revenue : (38 x 2) + (26 x 3) + (65 x 5) =  76 + 78 + 325 = 154 + 325 = $479

total profit : 479 - 245 = $234

Answer:

please give the complete question. cannot find answer with only half of the question

Answer:

  5 ft

Step-by-step explanation:

You can find the missing dimension by using the area formula and solving it for the missing dimension.

__

  A = 1/2(b1 +b2)h . . . . . . . . . . . . formula for the area of a trapezoid

  25.5 ft² = 1/2(7 ft +3.2 ft)h . . . . with the given numbers filled in

  (25.5/5.1) ft = h = 5 ft . . . . . . . . . divide by the coefficient of h

The height of the trapezoid is 5 ft.

Answer:

P = 5x - 10

Step-by-step explanation:

The perimeter is:

P = L + w

L = 3x - 2

w = 2x - 8

P = 3x -2 + 2x - 8

P = 5x - 10

To know the exact value we need to know the value of x or the solve of one of the expressions above.

Answer: Approximately 24.53%

Explanation:

I could be misreading what you posted, but it appears there are 39 female Democrats out of 39+27+57+36 = 159 total people surveyed.

This leads to the percentage 39/159 = 0.2453 = 24.53% which is approximate.

Answer:

It is a trapezoid! because you can tell that that is the shape of the entire model

Answer:

x^5+2x^3+6x+1/5

Step-by-step explanation:

our given equation is already written in standard form.

Answer:

It is already in standard form

Step-by-step explanation:

The standard equation should be arranged from high order to low order

   So x^5+2x^3+6x+1/5 = x^5+2x^3+6x+1/5

It is already in standard form

Answer:

not a function

Step-by-step explanation:

the vertical line test.   if you can put a vertical line on the graph that goes through two points on the parrabola it is not a function

Total amount after 4 years will be $63. If he invest principle amount of $42 for rate of interest of 12.5%.

Simply multiply the principal amount by the interest rate and the time to calculate simple interest. "Simple Interest = Principal x Interest Rate x Time," the formula says. You must multiply the borrowed principal amount by 1 plus the interest rate.

The simple interest rate is the rate at which you borrow or lend money. When a borrower borrows money from a lender, the lender receives an additional sum of money. The principal is the borrowed money that is given for a specific period of time. The interest is the extra amount paid back to the lender for using the money.

First, converting R percent to r a decimal

r = R/100 = 12.5%/100 = 0.125 per year.

To find the total amount  A = P (1+rt).

= 42(1 + 0.125 *6)

=  $63

The total amount is $63

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Answer:

they have a difference of 4 cups.

Step-by-step explanation:

container one: 1 gallon = 16 cups. 2 gallons = 32 cups.

container Two: 1 quart = 4 cups. 9 quarts = 36 cups.

36 cups - 32 cups = 4 cups

[tex]\\ \rm\Rrightarrow tan^2135-cosec^260=-xcos45.sin45.cot60[/tex]

[tex]\\ \rm\Rrightarrow (-1)^2-(\dfrac{2}{\sqrt{3}})^2=-\dfrac{x}{\sqrt{2}}\times \dfrac{1}{\sqrt{2}}\times \dfrac{1}{\sqrt{3}}[/tex]

[tex]\\ \rm\Rrightarrow 1-\dfrac{4}{3}=\dfrac{-x}{2\sqrt{3}}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{3-4}{3}=\dfrac{-x}{2\sqrt{3}}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{-1}{3}=\dfrac{-x}{2\sqrt{3}}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{1}{\sqrt{3}}=\dfrac{x}{2}[/tex]

[tex]\\ \rm\Rrightarrow x=\dfrac{2}{\sqrt{3}}[/tex]

Answer:

3 dollars 3 years

Step-by-step explanation:

don't ask

don't ask

Step-by-step explanation:

area : 180+130 cm2 = 310cm2

perimeter = 76cm

hope this helps you.

Answer:

P=76 cm / A=310 cm²

Step-by-step explanation:

The perimeter is the sum of all sides in a polygon;

P=20+18+10+5+10+13= 76 cm

The area which i will divide into 2 parts and add them;

The rectangle of length 20 cm and width 13 cm;

A=lw=20×13=260 cm²

The rectangle of length 5 cm and width 10 cm;

A=lw=5×10=50 cm²

A(Total)=260+50= 310 cm²

Answer:

Step-by-step explanation: height h =

slant height s =

side length a =

perimeter of base P =

lateral edge length e =

1/2 side length r =

volume V =

lateral surface area L =

base surface area B =

total surface area A =

Get a Widget for this Calculator

Square Pyramid Shape

Pyramid Diagram with h = height, l = length and w = width and s = slant height

h = height

s = slant height

a = side length

P = perimeter of base

e = lateral edge length

r = a/2

V = volume

L = lateral surface area

B = base surface area

A = total surface area

Calculator Use

This online calculator will calculate the various properties of a square pyramid given 2 known variables. The square pyramid is a special case of a pyramid where the base is square. It is a regular pyramid with a square base.

Units: Note that units are shown for convenience but do not affect the calculations. The units are in place to give an indication of the order of the results such as ft, ft2 or ft3. For example, if you are starting with mm and you know r and h in mm, your calculations will result with s in mm, V in mm3, L in mm2, B in mm2 and A in mm2.

NAN: means not a number. This will show as a result if you are using

Answer:

a) most students got a better grade on the second page than the first. which makes it positive

b) the pupil could've gotten a 61% score

Step-by-step explanation:

Answer:

If your money is in a savings account earning 3% a year, it will take around 24 years.

Answer:  n = -2; i = 1

Step-by-step explanation:

i + 2n = -3

        i = -3 - 2n

Plug in i in 2i - 3n = 8, we get:

2i - 3n = 8

2(-3 - 2n) - 3n = 8

-6 - 4n - 3n = 8

-6 - 7n = 8

     -7n = 14

        n = -2

substitute n = -2 into i = -3 - 2n

i = -3 - 2n

i = -3 - 2(-2)

i = -3 + 4

i = 1

Answer:

first option

Step-by-step explanation:

i just took the test on edge.

The factor of the polynomial [tex]f(x) = 6x^4 - 21x^3 - 4x^2 + 24x - 35[/tex] is (a) 2x - 7

The polynomial function is given as:

[tex]f(x) = 6x^4 - 21x^3 - 4x^2 + 24x - 35[/tex]

To determine if 2x - 7 is a factor, we start by setting it to 0

[tex]2x - 7 = 0[/tex]

Add 7 to both sides

[tex]2x = 7[/tex]

Divide both sides by 2

[tex]x =3.5[/tex]

Substitute 3.5 for x in f(x)

[tex]f(3.5) = 6(3.5)^4 - 21(3.5)^3 - 4(3.5)^2 + 24(3.5) - 35[/tex]

[tex]f(3.5) =0[/tex]

Because f(3.5) equals 0, then 2x - 7 is a factor of the polynomial

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Answer:

200%

Step-by-step ex

Answer:

200%

Step-by-step explanation:

x% of 20 = 40

x/100 × 20 = 40

x/10 × 2 = 40

x/5 = 40

x = 40×5

x = 200