The height of a cell phone tower is 200 ft tall. The tower is secured by 3 wires, stretching from the top of the tower to spots on the ground 50 ft away from the base of the tower. Each wire creates a right triangle with the tower and the ground. What is the length of each wire to the nearest foot?

Question 14 options:

42,500 ft


354 ft


3,704 ft


206 ft

Answer:

To solve the equation X/5 = -2 in one step, we can multiply both sides of the equation by 5 to isolate the variable X. This gives us the equation X = -2 * 5 = -10. Therefore, the value of X that satisfies the equation X/5 = -2 is X = -10.

Step-by-step explanation:

Answer:

x=-8

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

x= -8

Step-by-step explanation:

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

Answer: C

Step-by-step explanation:

A function cannot have repeated x value in a set, and c is the only one without repeated x value

Using the corresponding angle theorem, the value of y is 36 degree.

In the given question, b||c.

We have to find the value of y.

Given: b||c

Find: Value of y

Let x be the value of side angle of (2y+34) degree.

So, using the corresponding angle theorem

x = 74 degree

As we know that the sum of straight line is 180 degree.

So 2y+34+x = 180

Now putting the value of x

2y+34+74=180

After simplifying

2y+108=180

Subtract 108 on both side, we get

2y=72

Divide by 2 on both side, we get

y=36

Hence, the value of y is 36 degree.

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Answer:

[tex]\sqrt[3]{3375}=15[/tex]

Step-by-step explanation:

[tex]3375=15^2 \implies \sqrt[3]{3375}=15[/tex]

m =4e-3 is the equation represents the number of multiple-choice questions on a final exam is 3 less than 4 times the number of essay questions.

Two or more expressions with an Equal sign is called as Equation.

Let the multiple questions be denoted by m.

The essay questions be denoted by e.

The given sentence is the number of multiple-choice questions on a final exam is 3 less than 4 times the number of essay questions.

In the sentence there is less than which means a value is subtracted and it has times which is meant by product.

m =4e-3 is the required equation of the given sentence.

Hence, m =4e-3 is the equation represents the situation.

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Answer:False

Its just simply incorrect

Answer: 34.44

Step-by-step explanation:

Answer:its d

Step-by-step explanation:

Answer:

ST and RQ

Step-by-step explanation:

The 'arrows'  on the line segments mean they are parallel

If f(x) = 7x2 + 5, then 0 is the critical point. As a result, the interval f grows when f is positive.

Although this may appear like a frivolous issue—t = 0 is designated as a key point in each case—it is occasionally crucial to understand why is it that a position is indeed a critical point. In fact, we'll observe a fact which only holds true at crucial sites where the derivative equals zero in a few sections.

f is maximal because we replace x = 0 well at derivatives at the crucial point. After calculating the derivative, equating x to zero, and arriving at 0, we arrive at the critical point, which is at this position.

The interval just on left of the crucial moment is - infinity f 0 on the this interval increasing whilst also f is negative on the right of the critical point 0 >= f +infinity on this interval f is rising whilst also f is positive. This indicates that f is maximum since at the critical point people substitute x = 0 at the variant we have 5 > 0.

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The list of all probabilities from first to last are 0.5, 0.5, 0.2, 0.4, 0.5,

and 0.2.

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

There are a total of 6 possibilities when rolling a die and of which three are even numbers.

P(rolling an even number is) = 3/6 = 1/2 0.5.

There are two possibilities when flipping a coin,

∴ The probability of getting a head is (1/2) = 0.5.

There are a total of (1 + 1 + 3) = 5 possibilities of choosing a block out of which one is red, therefore the probability of choosing a red is = (1/5) = 0.2.

Total 10 marbles and 4 blue marbles, hence the probability of choosing a blue marble is (4/10) = 2/5 = 0.4.

There are a total of 8 balls out of which 4 are soccer balls, hence the probability of choosing a soccer ball is = 4/8 = 1/2 = 0.5.

Total 15 balls out of which 3 tennis balls hence the probability of choosing a tennis ball is = 3/15 = 0.2.

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The given quadratic equation 5x^2+6x+4=0 has no real roots or 0 real roots.

A quadratic equation is any algebraic expression that can be expressed in a standard form where x represents an unknown number, a, b, and c represent known values, and where a 0 is true.

So, we have the equation:

5x^2+6x+4=0

Discriminant (D): b² - 4ac

Insert values in the given formula as follows:
b² - 4ac is 6² - 4(5)(4).

= 36 - 80

= - 44 and it is less than zero.

No real roots

Therefore, the given quadratic equation 5x^2+6x+4=0 has no real roots or 0 real roots.

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Answer:

y = [tex]-\frac{1}{3}[/tex]x + 2

Step-by-step explanation:

Find the reciprocal change the sign of the gradient (m=3):

[tex]-\frac{1}{3}[/tex]

so

y = [tex]-\frac{1}{3}[/tex]x + c

The intersect is 2, so c = 2

Final answer: y = [tex]-\frac{1}{3}[/tex]x + 2

Answer:

The answer is 8a + 4s = $320

Step-by-step explanation:

Let us take a for adult tickets and s for student ticket we get,

8a and 4s

They collect $320 in total

8a + 4s = $320

Thus, The equation represents this relationship is 8a + 4s = $320

Answer:

12

X

7

Step-by-step explanation:

The corresponding sides of two triangles are proportionate if they are identical then the length of side ZX exists 10.5 units.

If one of the triangle's angles is 90 degrees, the triangle is said to be right-angled. 90 degrees is the sum of the other two angles. Perpendicular and the triangle's base make up the sides that the right angle is formed from. The hypotenuse, or third side, is the longest of the three. It is also known as the hypotenuse.

If two triangles are similar, then their corresponding sides are proportional.

Since [tex]$\triangle A B C \sim \triangle X Y Z$[/tex], therefore

AB/X Y = BC/YZ = CA/ZX

substitute the values in the above equation, we get

2/7 = 4/14 = 3/N

2/7 = 2/7 = 3/N

2/7 = 3/N

On cross multiplication, we get

2 × N = 3 × 7

2N = 21

Divide both sides by 2

N = 21/2

N = 10.5

Therefore, the length of side ZX exists 10.5 units.

The complete question is:

In the figure below, ABC is similar to XYZ . What is the length of ZX ? Enter only the number as an integer or decimal. An image shows two similar right triangles, A B C and X Y Z. Triangle A B C is smaller than triangle X Y Z. In triangle A B C, side A B is 2, side B C is 4, and side C A is 3. In triangle X Y Z, side X Y is 7, side Y Z is 14, and side Z X is labeled N.

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The value of side MN is 18.2

What is a Trapezoid?

A quadrilateral is a polygon with four sides.

There are many special types of quadrilateral.

The Trapezoid is a 4 sided polygon. Two sides of the shape are parallel to each other and they are termed as the bases of the trapezoid. The non-parallel sides are known as the legs or lateral sides of a trapezoid.

Given data ,

Let the side to be calculated be = MN

Now , the two quadrilaterals are GHIJ and KLMN

And , quadrilaterals GHIJ and KLMN are congruent

So ,

The sides are in the ratio

MN / IJ = NK / JG

On simplifying the equation , we get

Substituting the values in the equation , we get

MN / 47 = 12 / 31

Multiply by 47 on both sides of the equation , we get

MN = ( 12 x 47 ) / 31

On simplifying the equation , we get the value of side MN

MN = 564 / 31

MN = 18.19

On rounding to the nearest tenth , we get

MN = 18.2

Therefore , the value of side MN is 18.2

Hence , The value of side MN is 18.2

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The given measurement not forming the right triangle. So the option D is correct.

In the given question, we have to determine if a triangle with the following measurements is a right triangle.

The given measurement is:

a=14, b=16, c=18

We have to explain why or why not the given statement is correct or not.

The given options are:

(a) No. 14+16 does not equal 18

(b) Yes. 14^2+16^2=18^2

(c) Yes. The longest side is c, which is 18.

(d) No. 14^2+16^2 does not equal 18^2

As we know that the given measurement form right triangle we he follows the Pythagorean Theorem.

To prove the right triangle, the square of largest value is equal to the sum of square of other two values. So;

18^2 = 14^2+16^2

324 = 196 + 256

324 = 452(False)

So, the given measurement not forming the right triangle. So the option D is correct.

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Answer:

If you receive a 15% discount on a shirt that normally costs £42, the discounted price of the shirt will be £42 - (15/100) * £42 = £35.70. If you pay £50 for the shirt, you will receive £50 - £35.70 = £14.30 in change. Therefore, the correct answer is D- £14.30.

Step-by-step explanation:

Evaluating each expression with x = -2 and y = 3 gives

3x²y - x = 38

3y - x = 11

x² - y = 7

x + 2xy = 14

4y - 2xy + 2y = 33

2x - y = -7

6 -x =  8

3x - 2y = -12

3x - 2y + xy = -18

The expressions are evaluated by substituting the values of x and y into the equations and solve

solving the expressions

3x²y - x

substituting x = -2 and y = 3

= 3(-2)² * 3 - (-2)  

= 38

3y - x =

substituting x = -2 and y = 3

= 3 * 3 - (-2)

= 11

x² + y

substituting x = -2 and y = 3

= (-2)² + 3

= 7

x + 2xy

substituting x = -2 and y = 3

= -2 + 2 * -2 * 3

= -14

4y - 2xy + 3y

7y - 2xy

substituting x = -2 and y = 3

= 7 * 3 - 2 * -2 * 3

= 21 - (-12)

= 33

2x - y =

substituting  x = -2 and y = 3

= 2 * -2 - 3

= -7

6 - x

substituting  x = -2

= 6 - (-2)

= 8

3x - 2y

substituting  x = -2 and y = 3

= 3 * -2 - 2 * 3

= -6 - 6

= -12

3x - 2y + xy

substituting  x = -2 and y = 3

= 3 * -2 - 2 * 3 + -2 * 3

= -6 - 6 + (-6)

= -18

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There are 320 engines must be made to minimize the unit cost.

Expression in math's is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that;

The unit cost is given by the function,

⇒ C(x)= 0.3x²- 192x + 47,470

Now,

Since, The unit cost is given by the function,

⇒ C(x)= 0.3x²- 192x + 47,470

Hence, We get;

⇒ dC/dx = 0.6x - 192

Put dC/dx = 0

⇒ 0 = 0.6x - 192

⇒ 0.6x = 192

⇒ x = 320

And, d²C/dx² = - 192 < 0

Hence, This gives the maximum value.

So, The number of engines which must be made to minimize the unit cost = 320

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The solution is

a) The x represents the number of sales

b) The y represents the total earnings in dollars

c) The slope of the line m = 50 earnings (in dollars) per sale

d ) The slope represents the total earnings per sales and it is $ 50 per sale

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the equation of line be represented as A

Now , the value of A is given by the equation

Let the number of sales be = x

Let the total earnings be = y

Now , let the two points on the graph be A and B

where the value of A = A ( 3 , 200 )

And , the value of B = B ( 5 , 300 )

Now , the slope of the line between the points A and B is given by

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 300 - 200 ) / ( 5 - 3 )

Slope m = 100 / 2

Slope m = 50

So , the slope of the line is given by m = 50 earnings per sales

And , Slope m = $ 50 per sales

The equation of line is y - y₁ = m ( x - x₁ )

Substituting the values in the equation , we get

y - 200 = 50 ( x - 3 )

y - 200 = 50x - 150

Adding 200 on both sides of the equation , we get

y = 50x + 50

Therefore , the equation of line is y = 50x + 50

Hence ,

a) The x represents the number of sales

b) The y represents the total earnings in dollars

c) The slope of the line m = 50 earnings (in dollars) per sale

d ) The slope represents the total earnings per sales and it is $ 50 per sale

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Answer: 32

Step-by-step explanation:

Answer:

25 degrees

Step-by-step explanation:

sum of all three angles of a triangle equal 180

135+5x+4x=180

135+9x=180

-135.     -135

9x=45

x=5

angle A is 5x

5(5)

25

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Using the trigonometry ration, the value of x is 53.6.

In the given question, a park ranger stands a certain distance from an observation tower.

We have to write an equation and then solve for x and choose the right option.

From the diagram we can see that the height of an observation tower is 45 and angle is 40.

To find the value of x we use the trigonometry ratio.

As we know that tangent is the ratio of perpendicular side and adjacent side.

From the given diagram

tan(40)=45/x

Now simplifying

0.8391 = 45/x

Multiply by x on both side, we get

0.8391x = 45

Divide by 0.8391 on both side, we get

x = 53.6 feet

Hence, the value of x is 53.6.

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Answer:

D

Step-by-step explanation:

the x- intercept is the point where the line crosses the x- axis.

any point on the x- axis has a y- coordinate of zero.

let y = 0 in the equation and solve for x , that is

4x + 2 = 0 ( subtract 2 from both sides )

4x = - 2 ( divide both sides by 4 )

x = [tex]\frac{-2}{4}[/tex] = - [tex]\frac{1}{2}[/tex] ← x- intercept

coordinates of x- intercept = (- [tex]\frac{1}{2}[/tex], 0 )