Determino la altura de la torre de refrigeración de una central nuclear si se sabe que su sombra mide 271 m cuando los rayos solares forman un ángulo de 30°

Answer:

(x-6)^2+y=3

Step-by-step explanation:

The vortex of the parabola is (6,3). So the vertex equation is (x-6)^2+y=3

Answer:

[tex]x^{\frac{3}{2} } p^{6}[/tex]

Step-by-step explanation:

Answer:

I hope this helps!

I would go with C as a first step

The correct answer is C (that is equating f(x) and g(x))

A quadratic polynomial has highest degree 2 and a linear polynomial has highest degree 1.

In geometric sense, solving them means finding the point of intersection of curves:

In X-Y plane, these polynomials can be written as:

[tex]y=-x^{2} +2x+3\\y=-2x+3[/tex]

Taking the value of y from second equation and substituting it in first equation we get,

[tex]-x^{2} +2x+3=-2x+3[/tex]

Therefore, with the above procedure, we got the first step of solving the equations with the help of substitution.

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Answer:

25%

Step-by-step explanation:

1 dozen = 12

3 out of 12

3/12

Simplify

1/4

Multiply top and bottom by 25 to get a denominator of 100

25/100

25%

Answer:

3.5 yards

Step-by-step explanation:

The value of c in the triangle ABC is 3.5 yds, Option A is correct.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The given triangle is ABC.

We have to find the length c in the triangle.

Now let us use sine rule to find the value of c.

c / sin 28° = 4 / sin 32°

The value of  sin 28° is 0.4695 and sin 32° is 0.5299

c / 0.4695 = 4 / 0.5299

Apply cross multiplication

c × 0.5299 = 4 × 0.4695

c × 0.5299 = 1.8636

Divide both sides by 0.5299

c = 1.8636/0.5299

c = 3.516

= 3.5 yds

Hence, the value of c in the triangle ABC is 3.5 yds, Option A is correct.

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Answer:

12 mathletes is needed to solve 30 problems in 5 minutes

Step-by-step explanation:

8 athletes can solve 20 problems in 10 minutes

30-20=10

now we need 10 more problems to be solved so

20/2=10. 8/2=4 so we need more 4 mathletes to solve all the problems

Answer:

I don't really know sorry

Answer:

(a square +7a+12) ÷(a+3)

Answer: y/y+x

Step-by-step explanation: Reduce the fraction at the bottom (1 - x/y) (1 + x/y) = 1 + x/y = simplify and you get y/y+x

Hi there!

[tex]\large\boxed{y = \frac{x + 4}{7}}[/tex]

f(x) = 7x - 4

Rewrite f(x) with y:

y = 7x - 4

Swap the x and y variables:

x = 7y - 4

Solve for y:

x + 4 = 7y

y = (x + 4)/7

Answer:

D

Step-by-step explanation:

time = 27 ÷ 3 × 2 = 9 × 2 = 18 minutes → D

Answer:

The answer is below

Step-by-step explanation:

You first divide 27/3

= 9

you divide it cause you know how many times you have done a lap every 2 minutes.

Now to find how long you took you times 9 by 2

= 18

Therefore Jose took 18 minutes to swim 27 laps

Answer:

Step-by-step explanation:

25*-30= -$750

Second: He sells 22 of those calculators for $35 each, so he is making money.

22*35= $770

Third: With the remaining three calculators, he must pay $2 each for returned calculators, so he is losing money again.

3*-2= -6

Add all the costs and sales together, and you get 770-750-6= $14 profit

However, the problem does not say if he gets his money back for the 3 returned calculators. In that case if he did, you would add the cost of each of those calculators to his profit. 30*3= 90

$90+$14= $104 profit

here u go

Answer:

cos N = 7/25 =.28

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj side / hypotenuse

cos N = MN/ LN

We need to find the ad

Using the Pythagorean theorem

a^2+b^2 = c^2

MN^2 + 48^2 = 50^2

MN^2 + 2304 =2500

MN^2 = 2500-2304

MN^2 =196

Taking the square root

MN =14

cos N = MN/ LN

cos N = 14/50

cos N = 7/25

Answer: CosN (0.28)

A²+B²=C²

In this case we are trying to find the base so

C²-A² = B²

So 50² subtract 48²= B²

2,500 subtract 2,304 = 196

Square root of 196 = 14

Now we have all 3 sides of the triangle we find

Soh Cah Toa

Cah means Cos=Adjacent / hypotenuse

First we identify the Angle before we can decide which of the sides is labelled opposite anx adjacent

We have Angle N and we know our hypotenuse (The longest side of the triangle)

The opposite of the angle would be our opposite and the one thats niether our opposite or hypotenuse is our adjacent

In this cse the angle we solved for B²= 14

Again back "Cah" Cos= Adjacent/hypotenuse

So, 14/50 = 0.28

Step-by-step explanation:

Answer:

Therefore 3/10 is closer to ½

Step-by-step explanation:

We've to get the difference:

» with 3/10 :

[tex] \frac{1}{2} - \frac{3}{10} = { \boxed{\frac{1}{5} }}[/tex]

» with 5/7

[tex] | \frac{1}{2} - \frac{5}{7} | = { \boxed{ \frac{3}{14} }}[/tex]

but:

[tex] \frac{3}{14} > \frac{1}{5} [/tex]

Among both the given fractions, the one that is closer to a ½ is 3/10.

A number that is stated as a quotient in mathematics, when the numerator and denominator are split in half. Both are integers in a straightforward fraction. In the numerator or denominator of a complex fraction is a fraction.

An element of a whole or, more broadly, any number of equal pieces, is represented by a fraction. When used in conversational English, a fraction indicates the number of components of a particular size, as in one-half, eight-fifths, and three-quarters.

A fraction is a number that represents a portion of a whole. In order to evaluate it, a whole is divided into a number of components.  A correct fraction has a numerator that is lower than its denominator.

Required calculations are done with both the fractions,

1/2 - 3/10 = 1/5

1/2 - 5/7 = 3/14

3/14 ≥ 1/5

Therefore, among both the given fractions, the one that is closer to a ½ is 3/10.

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Answer:

jejejjejejr

Step-by-step explanation:

uejejjejejjsjs

Answer:

O I, II, and III only

Step-by-step explanation:

x-3 < 2

Add 3 to each side

x-3+3< 2+5

x<5

-3 is less than 5

0 is less than 5

2 is less than 5

5 is not less than 5

I , II , II are true

Answer:

5 < x < 21

Step-by-step explanation:

I did this bfore.

Answer:

10

Step-by-step explanation:

1) The vector CD is equal to (X-(-14); 13-6)= (x+14; 7)

2) The module of the vector CD is equal to diatance CD=25. It is equal to

 sqrt ((x+14)(x+14)+7*7) from the formula of module (with coordinates).

25= sqrt ((x+14)(x+14)+7*7)

625= (x+14)*(x+14)+49

625= x^2+28x+196+49

X^2+28X-380=0

a=1 b=28 c=-380

D= b*b-4ac= 28*28-4*1*(-380)= 784+1520= 2304

sqrt D= sqrt2304=48

x1= (-28-48)/2= -38

x2= (-28+48)/2= 10

But x1<0 it is negative and it is not suitable, x2>0 it is positive, so answer is 10.

Answer:

-19 = b

Step-by-step explanation:

76 = -4b

Divide each side by -4

76/-4 = 4-b/-4

-19 = b

Answer:

b = -19

Step-by-step explanation:

76 = -4b

shift -4 to the left hand side and when you shift -4 divides 76

76/-4 = b

-19 = b

Answer: a rectangular poster has an area of 260 square inches.the width of the poster is greater than 10 inches and is a prime number

Step-by-step explanation: a rectangular poster has an area of 260 square inches.the width of the poster is greater than 10 inches and is a prime number.what is the width

Answer:

1) a³b⁴/ ab³ = a²b

2)2 (x³ )² = 2x^6

3)3x*2x³ y² = 6x⁴y²

Answer:

x > 5

Step-by-step explanation:

-5-7x < -40

Add 5 to each side

-5+5-7x < -40+5

-7x < -35

Divide by -7, remembering to flip the inequality

-7x/-7 > -35/-7

x > 5

Open circle at 5, going to the right

Answer:

y = 3x-10

Step-by-step explanation:

When lines are parallel, they have the same slope

y = 3x+2 is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The slope is 3

y = 3x+b

We have a point on the line

-1 = 3(3)+b

-1 = 9+b

-10 = b

y = 3x-10

This can be interpreted as Tamika bought 9 gallons of milk and no toilet paper

From the graph given, we can see that the line touches the x-axis at (9, 0). Hence the x-intercept of the line is at (9, 0).

Since x represents gallons of milk and y represents the packages of toilet paper, therefore from the coordinate x = 9 and y = 0. This can be interpreted as Tamika bought 9 gallons of milk and no toilet paper

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