Triangles X Y Z and E G F are shown. Side X Y is 3.0 inches and angle Y Z X is 107 degrees. Side F G is 2.4 inches and side E F is 1.3 inches. Angle G E F is 48 degrees. Given ΔXYZ ≅ ΔEGF, find the measurements of the unknown sides and angles. ZX = in. EG = in. M∠X = ° m∠G = °

Answer:

(a) 0.2824

(b) 0.0002441

Step-by-step explanation:

Assuming that the population is large enough to behave as a binomial distribution (between whites and non-whites), the probability of 12 out of 12 juros being white is:

[tex]P(w=12) = p(w)^{12}[/tex]

Where p(w) is the proportion of the population that is white:

(a) for p = 0.90

[tex]P(w=12) = 0.90^{12}\\P(w=12) =0.2824[/tex]

The probability is 0.2824.

(b) for p = 0.50

[tex]P(w=12) = 0.50^{12}\\P(w=12) =0.0002441[/tex]

The probability is 0.0002441.

Answer:

I guess that we want to create 4 digit numbers that are divisible by 5, only using the odd numbers in the image.

We know that a number is divisible by 5 only if the last digit (the units digit) is a zero or a five, in the image we only have a five, so our 4-digit numbers need to end with a five, so we have a digit fixed in five and the other 3 digits can be other numbers.

We have two different approaches to this:

First, if each odd number can be used only once, we already used the five, so we can use the other 4 numbers.

Then, for the first digit, we have 4 options.

for the second digit, we have 3 options (because we already used one)

for the third digit, we have 2 options (because we already used 2)

then the number of combinations is equal to the product of the number of options for each selection:

C = 4*3*2 = 24 combinations.

The second approach is If the numbers in the image can be repeated (for example, 5555 or 3435 are allowed)

we still have our last digit fixed in 5, and for the first digit we have 5 options, for the second we also have 5 options, and for the third, we also have 5 options, then, with the same reasoning as above, we have:

C = 5*5*5 = 25*5 = 125 combinations.

Answer:

-200, 0 and -5

Step-by-step explanation:

Area can never be zero or negative.

Answer:

El tiempo le llevara a Mariano es 2 horas y el tiempo que le llevara a Alberto es de una hora

Step-by-step explanation:

Para calcular el tiempo que le llevará a cada uno si juntos pueden hacer el trabajo en 3h, tenemos que primero segun los datos considerar lo siguiente:

Segun los datos tenemos que Mariano puede despachar periódicos 2 veces el tiempo que le toma a Alberto, por lo tanto:

2X=Mariano puede despachar periódicos 2 veces el tiempo que le toma a Alberto

X=El tiempo que le toma a Alberto.

Por lo tanto calculando la siguiente ecuacion, podremos hallar el valor de X:

2X+X=3 horas

3X=3 horas

X=1 hora

Entonces, tenemos que el tiempo le llevara a Mariano es 2 horas y el tiempo que le llevara a Alberto es de una hora

Answer:

it could be angle DGF or CGA (they are both supplementary to angle CGD)

Step-by-step explanation:

Answer:  [tex]\bold{b)\quad \dfrac{\pi}{2}+n\pi,\ \dfrac{\pi}{4}+2n\pi}[/tex]

Step-by-step explanation:

cos x tan x - cos x = 0

cos x (tan x - 1) = 0

cos x = 0          tan x - 1 = 0

[tex]x=\dfrac{\pi}{2},\ \dfrac{3\pi}{2}[/tex]         tan x = 1

                         [tex]x=\dfrac{\pi}{4},\ \dfrac{5\pi}{4}[/tex]

Thanks! I hope my answer would be easy to understand.

Answer:

h=3V/πr²

Step-by-step explanation:

Answer:

3V / (pi r^2) =  h

Step-by-step explanation:

V= pi r squared h/3

Multiply each side by 3

3V = pi r^2 h /3  * 3

3V = pi r^2 h

Divide each side by pi r^2

3V / (pi r^2) = pi r^2 h /( pi r^2)

3V / (pi r^2) =  h

Hey there! :)

Answer:

x = -6.

Step-by-step explanation:

Given:

[tex]\sqrt[3]{5x-4} = \sqrt[3]{7x + 8}[/tex]

Cube both sides:

5x - 4 = 7x + 8

Subtract 5x from both sides:

-4 = 2x + 8

Subtract 8 from both sides:

-12 = 2x

x = -6.

Answer:

[tex]\frac{b+a}{b-a}[/tex]

Step-by-step explanation:

Tan θ = [tex]\frac{perpendicular}{base}[/tex] = [tex]\frac{b}{a}[/tex]

So, Perpendicular = b, base = a

Finding hypotenuse by Pythagorean Theorem:

[tex]c^2 = a^2+b^2[/tex]

=> So, hypotenuse = c

Sin θ = [tex]\frac{perpendicular}{hypotenuse}= \frac{b}{c}[/tex]

Cos θ = [tex]\frac{base}{hypotenuse}= \frac{a}{c}[/tex]

So, Now finding [tex]\frac{sin\theta+cos\theta}{sin\theta-cos\theta}[/tex]

=> [tex]\frac{b}{c} + \frac{a}{c}[/tex] ÷ [tex]\frac{b}{c} - \frac{a}{c}[/tex]

=> [tex]\frac{b+a}{c}[/tex] ÷ [tex]\frac{b-a}{c}[/tex]

=> [tex]\frac{b+a}{c} * \frac{c}{b-a}[/tex]

=> [tex]\frac{b+a}{b-a}[/tex]

Answer:

4. -1/2 and 2

5. N and R

Step-by-step explanation:

Well if you want me too do 5 I’ll do 4 too.

So for #4 it’s actually pretty simple we just have to seperate y that’s it.

So first we have to get y by itself by subtracting 3x to the other side so the equation looks like this now [tex]6y=-3x+12[/tex].

Now we have to take away the 6 and to do that we divide it to all the numbers and variables. Which gets us [tex]y=-1/2x+2[/tex].

So m and b are -1/2 and 2.

So we have to graph y = -1/2x + 2 so look at the image below.

So looking at the image we can see it passes through the points N and R.

Answer:

The line passes through points N and R.

Step-by-step explanation:

I graphed the equation on the graph below.

Answer:

c. x - 2/3

Step-by-step explanation:

The given equation is f(x) = [tex]3x^4 - 5x^3 - 71 x^2 + 157x + 60[/tex]

To test if the given equations are factors of the polynomial, check if the remainder is equal to zero if substituted into the equation.

For x - 3, x = 3

Substituting x = 3 into the given polynomial:

[tex]f(3) = 3(3)^4 - 5(3)^3 - 71 (3)^2 + 157(3) + 60\\f(3) = 0[/tex]

x - 3 is a factor

For x - 4, x = 4

Substituting x = 4 into the given polynomial:

[tex]f(4) = 3(4)^4 - 5(4)^3 - 71 (4)^2 + 157(4) + 60\\f(4) = 0[/tex]

x - 4 is a factor

For x - 2/3, x = 2/3

Substituting x = 2/3 into the given polynomial:

[tex]f(2/3) = 3(2/3)^4 - 5(2/3)^3 - 71 (2/3)^2 + 157(2/3) + 60\\f(2/3) = 132.22[/tex]

x - 2/3 is  not a factor

For x + 1/3, x = -1/3

Substituting x = -1/3 into the given polynomial:

[tex]f(-1/3) = 3(-1/3)^4 - 5(-1/3)^3 - 71 (-1/3)^2 + 157(-1/3) + 60\\f(-1/3) = 0[/tex]

x + 1/3 is  a factor

Answer:

B

Step-by-step explanation:

Answer:

I don't know if I'm right but i think it's B

Step-by-step explanation:

again, I'm not so sure, so if I'm wrong please correct me

Answer:

∠BAD = 100°

∠ADC = 105°

∠DCB = 50°

∠ABC = 105°

Step-by-step explanation:

∠BAD is given.

∠ADC is supplementary to the 75°, so it is 180-75 = 105°

∠DCB is 50° just like its opposite angle

The sum of all angles in a quadrilateral must be 360, so ∠ABC = 360-100-105-50 = 105.

Answer:

40m³

Step-by-step explanation:

[tex]\sqrt[3]{5}[/tex] = 1.709975947

1.709975947 × 2 = 3.419951893

3.419951893³ = 40

Answer:

volume of the box multiply scale factor

=5 × 2

=10m

Answer:

P(XX) = 69/190

Step-by-step explanation:

Given:

20 balls, 10R, 3B, 7W.

Two taken without replacement.

Find probability of two identical colours.

P(XX)

Solution:

We use the multiplication rule for the probability of each of the 2 draws

P(RR) = 10/20*9/19 = 90/380

P(BB) = 3/20*2/19 = 6/380

P(WW) = 7/20*6/19 = 42/380

Probability of drawing two identical coloured balls

P(XX) = (90+6+42)/380 = 138/380 = 69/190

Answer:

D

Step-by-step explanation:

10 dimes = 1.00

3 nickels =15 cent

Answer:

B. 5 nickles and 9 dimes

Step-by-step explanation:

For this problem, the answer needs to both be equivalent to $1.15 and have a total of 14 nickels and dimes.

B is the only answer choice that has a total of 14 nickels and dimes and is equivalent to $1.15:

9 nickels+5 dimes=total of 14 coins while 5 nickels (25 cents) and 9 dimes (90 cents) is equivalent to $1.15.

Answer:

the solution to the system of nonlinear equations is C. (0,3)

Answer:

(-7,5)

Step-by-step explanation:

y = 5 and x = -7

The lines intersect at the point x=-7 and y =5

(-7,5)

Answer:

9,020,406.27

Step-by-step explanation:

Answer:

9,020,406.27

Step-by-step explanation:

Answer:

85.33333

Step-by-step explanation:

You would simply substitute 4 whenever there is an x.

f(4) = (1/3) * 4^4

= (1/3) * 16 * 16

= (1/3) * 256

= 256/3

= 85.3333333333333333333333333333333333333

which is about 85.3333, or 85 and 1/3, or 256/3.

Hope this helps!

Answer:

To find the circumference

diameter x 3.14 = circumference

We can undo the multiplication and divide to get the diameter

37.68 /3.14 = 12

diameter / 2= radius

12 / 2 = 6

the radius is 6

radius x radius x pi = area

6 x 6 x 3.14 = 113.04

113.04 is the answer

Hope this helps

Step-by-step explanation:

Answer:

113.04 square inches.

Step-by-step explanation:

The formula to find the circumference is 2πr. The formula for the area is πr^2. We are trying to find r in order to solve the problem.

It says use 3.14 for π. The circumference is 37.68 inches.

2πr = 37.68

2 * 3.14r = 37.68

3.14r = 18.84

r = 6

Now that we know the radius of the circle, we can find the area!

πr^2 = 3.14 * (6^2) = 3.14 * 36 = 113.04.

Hope this helps!

Answer:

c

Step-by-step explanation:

Any ride takes $2.00 and one mile takes $0.20.

Cost = $0.20 + $2.00

Cost = $2.20

Answer:

An inequality is a relation which makes a non equal comparison between two of more numbers or other mathematic equations. > I'd greater than < is less than = equal to. ≥ is greater than or equal ≤ less than or equal to. = equal to ≠ not equal

Step-by-step explanation:

Inequality- is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Answer: the value of the integral is in the range:

0.006  ≤  int ≤  0.008

Step-by-step explanation:

First, we have the function

5*tan(3x), and the range in this case is: pi/12 ≤ x ≤ pi/9

Then, the first step is find the maximum and minimum of f(x) in this range.

We know that between 0 and pi/2, tan(x) is a growing function, then

then the limits are

5*tan(3*pi/9) = 5*tan(pi/3) = M=  0.091

5*tan(3*pi/12) = 5*tan(pi/4) =m = 0.069

Then the value of the integral is between:

0.069*(3.14/9 - 3.14/12) ≤  int ≤  0.091*(3.14/9 - 3.14/12)

0.006  ≤  int ≤  0.008

Answer:

6

Step-by-step explanation:

From the blue graph of f(x) we can see that the function value is -6 when x = 6.  Similarly, g(5) = -5.

Then:  4*f(6) - 6*g(5) becomes:

           4*(-6) - 6*(-5), or

              -24 +  30  = 6

The value of ⋅f(6)−6⋅g(5)= 6

An operation where two functions say f and g generate a new function say h in such a way that h(x) = g(f(x)).

Given:

From the blue graph we can see that

f(x)= -6 when x = 6.

Similarly, g(5) = -5.

thus,

4*f(6) - 6*g(5)

=3 4*(-6) - 6*(-5)

=-24 +  30

= 6

Learn more about this concept here:

https://brainly.com/question/20379727

#SPJ2

Answer: BD = 9 units

Step-by-step explanation:

ABQ and CDQ are congruent triangles. That means their angle measures are the same but their lengths may be proportional.

19.2 / 32 = 0.6

15 * 0.6 = 9

So the length of side BD is 9 units.

Answer:

9 units

Step-by-step explanation:

Answer:

A ; -4

Step-by-step explanation:

3a = 12b then a = 4b (dividing by 3)

we put 4b in the equation instead of a:

(-4b / b) = -4

.. ..

Answer:

A. -4

Step-by-step explanation:

3a/b = 12

Let b = 2

3a/2 = 12

3a = 24

a = 8

( - a/b)

( - 8/2)

( - 4)

Answer:

125°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 8 (octagon), thus

sum = 180° × 6 = 1080°

let x represent one of the equal angles, then

3x + 705 = 1080 ( subtract 705 from both sides )

3x = 375 ( divide both sides by 3 )

x = 125

Thus the size of one equal angle = 125°

Answer:

2:8 is the ratio to an equal ratio