In circle A as shown below, segment DC is tangent to circle A at D.
Also, DC = 4 and BC = 2.

Find the length of the radius of circle A.
3
5
6
12.

Answer:

301.42 ft from base

Step-by-step explanation:

We can look at this situation as a triangle, the cliff is straight up and we're looking for the lowest side of the triangle. So to figure this out we use tangent, tangent is equal to Opposite over adjacent. So the tangent(37)= bear from base/height of cliff. We then multiply tan(37) by 400 to get the answer

Answer:

The answer is below

Step-by-step explanation:

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by the formula:

[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mean,\ \sigma=standard\ deviation.\\\\For \ a\ sample\ size(n):\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }[/tex]

Therefore given that μ = $85900, σ = $11000, n = 35.

For x > 70000:

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{70000-85900}{11000/\sqrt{35} } =-8.55\\[/tex]

For x < 100000

[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } =\frac{100000-85900}{11000/\sqrt{35} } =7.58[/tex]

From the normal distribution table, P(70000< x < 100000) = P(-8.55 < z < 7.58) = P(z < 7.58) - P(z < -8.55) = 1 - 0 = 1 = 100%

Answer: C

Step-by-step explanation:

13-3=10

el numerador será 512 ya que en esta suma el numero mas alto es el 512

Answer:

1. 15x-10

2. x²-x-12

3. x²-8x+12

4. 2x³+4x²-30x

5. 6x³- 12x²+6x

6. 4x³+12x²-20x

Step-by-step explanation:

4.2x(x+5)(x-3)

= 2x(x²-3x+5x-15)

= 2x(x²+2x-15)

= 2x³+4x²-30x

Answer:

21

Step-by-step explanation:

Answer:

x = 8

Steps:

(4x-2) + (17x+14) = 180

4x + 17x -2 + 14) = 180

21x + 12 = 180

21x = 180-12

21x = 168

x = 168/21

x = 8

Answer:

They are not equal

Step-by-step explanation:

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: There is no solution, due to the left and right sides not being equal.

Explanation:

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

8x-8

Step-by-step explanation:

if Lana is X year

then that makes Yan 3X-4

the father is twice the sum of their ages

3X-4+X=4X-4

the father being twice

his age should be

8X-8

Answer:

Falta información para darte una respuesta exacta, así que voy a dar una explicación general de este tipo de problemas.

Querés saber cuál es el porcentaje de personas que trabajan y están en el rango de edades entre 31 y 46.

Entonces lo primero que tenemos que hacer es encontrar el número total de personas que trabajan, digamos que es T (esto es el 100%)

Luego hay que encontrar el número total de personas que trabajan y tienen entre 31 y 46, digamos que es N.

Podemos relacionar estas cantidades con porcentajes de la siguiente manera:

N = P

T = 100%

Donde P es el porcentaje que queremos calcular.

Si tomamos el cociente de esas dos ecuaciones, obtenemos:

N/T = P/100%

Resolviendo para P obtenemos:

(N/T)*100% = P

El porcentaje de personas que trabajan y tienen entre 31 y 46 va a ser entonces:

P = (N/T)*100%

Así sabiendo el número total de personas que trabajan y el número de personas que trabajan y además tienen edades entre 31 y 46, podemos calcular el porcentaje que queremos.

Particularmente decis que no sabes si colocar 3% o 4%.

Lo que podria implicar que tambien quizas tengas un problema de redondeo.

Si tenes un numero como:

3.a%

donde a es un digito entre 0 y 9

si a es menor que 5, entonces redondeamos para abajo, y asi obtenemos:

3.a% = 3%

si a es igual a 5 o mayor, redondeamos para arriba, asi obteniendo:

3.a% = 4%.

Given:

In a parallelogram [tex]PRTV, VQ\perp PR,VS\perp RT[/tex].

To prove:

[tex]\dfrac{PQ}{ST}=\dfrac{PV}{VT}[/tex]

Solution:

It is given that [tex]VQ\perp PR,VS\perp RT[/tex], it means [tex]\angle PQV[/tex] and [tex]\angle TSV[/tex] are right angle triangles.

In triangle PQV and triangle TSV,

[tex]\angle PQV\cong \angle TSV[/tex]         (Right angles)

[tex]\angle QPV\cong \angle STV[/tex]         (Opposite angles of a parallelogram)

Two corresponding angles are congruent. So, by AA property of similarity, we get

[tex]\Delta PQV\sim \Delta TSV[/tex]

We know that the corresponding parts of similar triangles are proportional. So,

[tex]\dfrac{PQ}{TS}=\dfrac{PV}{TV}[/tex]

It can be rewritten as:

[tex]\dfrac{PQ}{ST}=\dfrac{PV}{VT}[/tex]

Hence proved.

Answer:

It's 76 degrees

Step-by-step explanation:

Thanks for branliest

Answer:

76

Step-by-step explanation:

the interior angles of a triangle always add up to 180 degrees, so all we have to do is add the 2 angle values that we know, so 48 + 56=104, then we subtract that from 180 to get 76. Hope this helps!

X= 54

hope it helps

Answer:

The answer is 50 miles per hours.

Answer:

Bond Price​= 1,182.96

Step-by-step explanation:

Giving the following information:

Par value= 1,000

Cuopon= 1,000*0.045= 45

YTM= 3.2%

Number of years (n)= 10

To calculate the price of the bond, we need to use the following formula:

Bond Price​= cupon*{[1 - (1+i)^-n] / i} + [face value/(1+i)^n]

Bond Price​= 45*{[1 - (1.032^-19)] / 0.032} + [1,000 / (1.032^19)]

Bond Price​= 633.31 + 549.65

Bond Price​= 1,182.96

Answer:

A) 1/2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(8-3)/(4-(-6))

m=5/(4+6)

m=5/10

m=1/2

Answer:

The answer is B, P = 12(1.004)^t

A growth rate of 0.4% means you have to multiply by 1.004

B is the only answer with this number, so B is the correct choice.

Answer:

Suppose we have an equation like:

[tex]\frac{A}{C} = \frac{B}{D}[/tex]

If we want to remove the denominators, we should multiply both sides by each denominator.

First, let's multiply both sides by C.

[tex]\frac{A}{C}*C = \frac{B}{D}*C[/tex]

[tex]A = \frac{B}{D}*C[/tex]

Now let's multiply both sides by D.

[tex]A*D = \frac{B}{D}*C*D[/tex]

[tex]A*D = B*C[/tex]

So now we removed the denominators.

Now let's do this to our expression.

[tex]2 - \frac{3}{4*x} = \frac{9}{10}[/tex]

First, let's multiply both sides by 10

[tex](2 - \frac{3}{4*x})*10 = \frac{9}{10}*10[/tex]

[tex]20 + \frac{30}{4*x} = 9[/tex]

Now let's multiply both sides by 4*x

[tex](20 + \frac{30}{4*x})*4*x = 9*4*x[/tex]

[tex]20*4*x - 30 = 9*4*x[/tex]

[tex]80*x - 30 = 36*x[/tex]

Now we can solve this for x:

[tex]80*x - 36*x = 30[/tex]

[tex]44*x = 30[/tex]

[tex]x = \frac{30}{44} = 0.68[/tex]

Answer:

25

Step-by-step explanation:

15/6*10 = 25

Answer: I feel like it's the last one

Step-by-step explanation: ahhh I could be wrong I've had this problem before and I'm certain I chose the last one but I could be wrong if I'm wrong then I'm very sorry

Answer:

1212

Step-by-step explanation:

9514 1404 393

Answer:

  98

Step-by-step explanation:

The angle bisector divides the triangle proportionally. This means ...

  VY/VT = KY/KT

  VY = VT(KY/KT)

  x = VY +KY = (KY(VT/KT) +KY) . . . . . use the expression for VY

  x = KY(VT/KT +1) . . . . . . . . . . . . . . . factor out KY

  x = (68)(57/129.2 +1) . . . . . . . . .. put in the numbers

  x = 98

Answer:

the answer is x=98

Step-by-step explanation:

:))))

Answer:

0.2

Step-by-step explanation:

[tex]\frac{7}{15}[/tex] x [tex]\frac{6}{14}[/tex] = 0.2

C. Inherited traits carry the instructions for individual genes is the statement that does not describe the relationship between genes and inherited traits. Genes carry the instructions for inherited traits, not the other way around.

Answer:

I'm confused on what you're trying to ask

Answer:

[tex]\frac{9}{20} -\frac{5}{20} =\frac{1}{5}[/tex].

Step-by-step explanation:

When subtracting fractions with the same denominator, you keep the base the same and subtract the numerators. In this case, [tex]\frac{9}{20} -\frac{5}{20} =\frac{4}{20}[/tex], and [tex]\frac{4}{20}[/tex] can be simplified into [tex]\frac{1}{5}[/tex], so [tex]\frac{9}{20} -\frac{5}{20} =\frac{1}{5}[/tex].

Answer:

2.8

Step-by-step explanation:

hypotonus is the longest edge of any triangle;

here the tallest edge equals the root of 8

the root of 8 = 2.83

Answer:

4

Step-by-step explanation:

Answer:

Yup it’s 4

Step-by-step explanation:

Answer: a sphere and a cylinder

Step-by-step explanation:

The composite figure has two semi-circles on each end (which is basically a whole sphere). In the middle is a cylinder. So, d is the correct option.

A cone has a triangular form, so it can't be the other answers.

Answer:

D

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

[tex]\frac{35}{100}*1800\\35*18\\[/tex]

630

The portion of protein will be 630.

The “pie chart” is also known as a “circle chart”, dividing the circular statistical graphic into sectors or sections to illustrate the numerical problems.

Given that a pie chart showing the distribution of the calories of 1800 in different nutrients, we need to find the portion of protein,

Here the portion of protein = 35%

So,

35 / 100 × 1800 = 630

Hence the portion of protein will be 630.

Learn more about pie chart click;

https://brainly.com/question/1109099

#SPJ2

Step-by-step explanation:

This is an altitude hypotenuse problem.

Answer:

a) (100-x)/86.6 or x/50

b) 10,000 (86.6^2 + 50^2)

Step-by-step explanation:

To find x you have three options, according to a). So you can use the small triangle, middle or larger triangle

So if you use the small triangle you use the angle of 60 degrees

You have your hypotenuse and you need to find your adjacent

So use cos(60)=x/50

Then use your middle triangle, where you can use 30 and do cos(30) = (100-x)/86.6

for b, use (100-x)^2 = 86.6^2 + 50^2

50^2 = x^2 + 43.3^2