Triangles ABC and DEF are similar. Find the missing angles.

Step-by-step explanation:

I do don't either ok wjshjddshsj

Answer:

12.04 cm

Step-by-step explanation:

Pythagoras in general :

c² = a² + b²

c is the Hypotenuse (the side opposite of the 90 degree angle).

a and b are the side legs.

so, in our example here

17² = 12² + b²

289 = 144 + b²

145 = b²

b = sqrt(145) = 12.04 cm

Answer:

The ans is (3,-9) which means it's the second option

Answer:

2

Step-by-step explanation:

x intercepts are at y=0

therefore

0= 2x^2+4x-2

Simplify by 2

0=x^2+2x-1

the determinant

D= 2^2 - 4 (1)(-2) = 4 + 8 = 12 > 0

therefore the graph has two intercepts

Answer:

0.8

Step-by-step explanation:

To get to C, you must start by taking the lower of the first two branches

That has a probability of 0.4

C is the branch on your right and has a probability of 0.2

P(C) = 0.4 * 0.2 = 0.8

Answer:

.26

Step-by-step explanation:

Answer:

[tex] {(4x + 3y)}^{2} \\ = {(4x)}^{2} + 2 \times 4x + 3y + {(3y)}^{2} \\ 16 {x}^{2} + 24xy + 9 {y}^{2} \\ thank \: you[/tex]

Answer:

Step-by-step explanation:

*see attachment for clearer diagram

Answer:

16.5

Step-by-step explanation:

BC = 11

AB = 3

Area of the shaded region = area of ∆AEB + area of ∆CED

Area of a triangle is given as,

A = ½*base*height

Find the area of each triangle and add together

✔️Area of ∆AEB = ½*bh

Where,

base (b) = 3

height (h) = ½(BC) = ½(11) = 5.5

Area of ∆AEB = ½*3*5.5 = 8.25

✔️Area of ∆CED = ½*bh

Where,

b = 3

h = ½(BC) = ½(11) = 5.5

Area of ∆CED = ½*3*5.5 = 8.25

✅Area of the shaded region = area of ∆AEB + area of ∆CED

= 8.25 + 8.25

= 16.5

Answer:

width = 7, length = 11

Step-by-step explanation:

area = 77

length = 3w - 10

width = w

w(3w - 10) = 77

3w^2 - 10w - 77 = 0

(3w + 11)(w - 7) = 0

we rule out 3w + 11 = 0 because w would be negative

so we use w - 7 = 0

so the width = 7

length = 3w - 10

length = 21 - 10

length = 11

Answer:

A. Sides AC and DF

B. Angles BAC and EDF

Answer:

Step-by-step explanation:

Answer:

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

quartile first = 73

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

Answer:

44.8

Step-by-step explanation:

Using the Cosine formula, we first have Cos 48 = 30/x. So then we just solve for x and get 44.8342965, which rounds to 44.8

I hope this helped! :D

Answer:

2.3,5

Step-by-step explanation:

Both the 2nd and 3rd statement is true. Because of both statement is closely analyzed up during design process of automobile.

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Answer:

150 Newtons

Step-by-step explanation:

Given

[tex]t = \sqrt{\frac{4\pi^2mr}{F}}[/tex]

[tex]t = 12[/tex]

[tex]r =6.5[/tex]

[tex]\pi = 3.14[/tex]

[tex]m = 84.4[/tex]

See attachment

Required

Find F

We have:

[tex]t = \sqrt{\frac{4\pi^2mr}{F}}[/tex]

Square both sides

[tex]t^2 = \frac{4\pi^2mr}{F}[/tex]

Multiply both sides by F

[tex]Ft^2 = 4\pi^2mr[/tex]

Divide both sides by [tex]t^2[/tex]

[tex]F = \frac{4\pi^2mr}{t^2}[/tex]

Substitute known values

[tex]F = \frac{4*3.14^2*84.4*6.5}{12^2}[/tex]

[tex]F = \frac{21635.90624}{144}[/tex]

[tex]F = 150.249348889[/tex]

[tex]F = 150N[/tex]

Answer:

$1448

Step-by-step explanation:

Tax=rate*amount=(4/100)*36200=1448

Answer: Profit = $300

Step-by-step explanation:

Given information

Original Price = $1200

Profit rate = 25%

Given expression

Profit amount = Profit rate × Original price

Substitute values into the expression

Profit amount = 25% × 1200

Profit amount = $300

Hope this helps!! :)

Please let me know if you have any questions

I'll be referring to each of these numbers as x and y.

x + y = 4

(x^2) + (y^2) - 3(x)(y) = 76

x = 4 - y

(4 - y)^2 + (y^2) - 3(4 - y)(y) = 76

(4 - y)(4 - y) + y^2 - (3y)(4 - y) = 76

16 - 4y - 4y + y^2 + y^2 - 12y + 3y^2 = 76

16 - 20y + 5y^2 = 76

5y^2 - 20y - 60 = 0

y^2 - 4y - 12y = 0

(y - 6)(y + 2) = 0

y = 6 or -2

x = 4 - 6 = -2

x = 4 - - 2 = 6

As you can see, we got the same numbers for both x and y, -2 and 6. Therefore, the two numbers are -2 and 6. But, we can check our work to ensure that the answer is correct.

x = -2

y = 6

6 - 2 = 4

4 = 4

(-2)^2 + (6^2) - 3(-2)(6) = 76

4 + 36 - 3(-12) = 76

40 + 36 = 76

76 = 76

Hope this helps!

Answer:

X and y = -2 or 6

Step-by-step explanation:

Answer:

[tex]x = \frac{2000 }{(\frac{a+100}{100})}[/tex]

updated response , given that you confirmed the question....

if the percent is the variable a% then ....

[tex]x*(\frac{a+100}{100}) = 2000[/tex]

[tex]x = \frac{2000 }{(\frac{a+100}{100})}[/tex]

I think that there is missing information here ....

you can make any number work here the result of the number being increased by the percent has to be 2000...

so if if the number is 1000 then the percent would be 100%

if you make the number  1500 then the percent would be 33 1/3 %

Step-by-step explanation:

The number is [tex]\frac{2000}{(1+\frac{a}{100})}[/tex]

Let us assume that the number be x.

When the number x is increased by  a% the new number will be,

[tex]x(1+\frac{a}{100})[/tex]

Now, this number is decreased by 80%. So, the new number will be,

[tex]x(1+\frac{a}{100})*(1-\frac{80}{100} )\\=x(1+\frac{a}{100})*(1-0.8 )\\=x(1+\frac{a}{100})*0.20[/tex]

By the given condition,

When x increased by a% and decreased by 80% it becomes 400

Therefore, we can write

[tex]x(1+\frac{a}{100})*0.20=400[/tex]

[tex]x(1+\frac{a}{100})=\frac{400}{0.20}[/tex]

[tex]x(1+\frac{a}{100})=2000[/tex]

[tex]x=\frac{2000}{(1+\frac{a}{100})}[/tex]

So, the number will be [tex]\frac{2000}{(1+\frac{a}{100})}[/tex].

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Answer:

543

Step-by-step explanation:

Answer: ƒ(x) = x2(x – 1)3

Answer:

1500.

There is no need to round here, it is already exact.

Step-by-step explanation:

[tex]v = \frac{\pi r {}^{2}h }{3} [/tex]

[tex]3v = \pi {r}^{2} h[/tex]

[tex] \frac{3v}{\pi h} = {r}^{2} [/tex]

[tex] \sqrt{ \frac{3v}{\pi h} } = r[/tex]

Answer:

12 and 36

Step-by-step explanation:

Call the age of both Bill and his father is a and b, respectively

we have:

b=3a

b-3=4(a-3) ->b=4a-12 -> 3a=4a-12 ->a =12 -> b=36

Answer:

Step-by-step explanation:

y = x²+3

y = 3x+1

x² + 3 = 3x +1

x² - 3x + 2 = 0

(x-2)(x-1) = 0

x = 2, 1

Two solutions

(2,7) and (1,4)

Answer:

I would rather use:

(b) 10,000 batches of 10 observations each.

Step-by-step explanation:

It is easier to have 10,000 batches of 10 observations each than to have 50 batches of 2,000 observations.  Human errors are reduced with fewer observations. For example, Hadoop, a framework used for storing and processing big data, relies on batch processing.  Using batch processing that divides the 100,000 stationary waiting times into 10 observations with 10,000 batches each is more efficient than having 2,000 observations with 50 batches each.

Answer:

2

Step-by-step explanation:

g(x) = 2x - 6

g(4) = 2*4 - 6

g(4) = 2

f(x) = x - 2

f(3) = 3 - 2

f(3) = 1

Thus g (4) / f (3) = 2 / 1 = 2

The value of the function g (4) / f (3) is 2.

Function is a type of relation, or rule, that maps one input to specific single output.

We are given the function as;

f(x)=x-2 and g(x)=2x-6, then we need to find g(4)/f(3)

Therefore, g(x) = 2x - 6

g(4) = 2*4 - 6

g(4) = 2

Similalry,

f(x) = x - 2

f(3) = 3 - 2

f(3) = 1

Thus we have the value of function as

g (4) / f (3) = 2 / 1

g (4) / f (3) = 2

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Answer:

27/2 =x

Step-by-step explanation:

We can write a ratio to solve

3             2

-----  = ---------

3+x          11

Using cross products

3*11 = 2(3+x)

33 = 6+2x

Subtract 6 from each side

33-6 = 6+2x-6

27 = 2x

27/2 = 2x/2

27/2 =x