To find the height of the Eiffel Tower, Antoine placed a mirror of 500 meters away from the tower. He then positions himself so the top of the tower is visible in the mirror. He is standing 2.75 meters from the mirror and his eyes are 1.8 meters off the ground. How y’all is the tower?

Answer:

The value of x is equal to 7

Step-by-step explanation:

if -4x + 26 = -2

-4x = -2 - 26

-4x = - 28

Divide both sides by -4, then we will have

x = -28/-4

x = 7

Steps to solve:

-4x + 26 = -2

~Subtract 26 to both sides

-4x + 26 - 26 = -2 - 26

~Simplify

-4x = -28

~Divide -4 to both sides

-4x/-4 = -28/-4

~Simplify

x = 7

Best of Luck!

Answer:5

Step-by-step explanation:

you do it

Answer:

Θ = 52°

Step-by-step explanation:

Once you've set up the triangle, you can see that the adjacent side is 170 cm and the opposite side is 220 cm.

tanΘ = [tex]\frac{220}{170}[/tex]

Θ = tan-1 (220/170)

Θ = 52°

The angle of elevation of the sun when a person 170 cm tall casts of shadow 220 cm long is 37.694°.

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

A person 170 cm tall casts of shadow 220 cm long.

Then the angle will be

[tex]\rm tan \theta = \dfrac{Perpendicular }{Base}[/tex]

We have

Perpendicular = 170 cm

Base = 220 cm

Then

[tex]\rm tan \theta = \dfrac{170}{220}\\\\\\ \theta \ \ \ \ = tan^{-1} \dfrac{170}{220}\\\\\\\theta \ \ \ \ = 37.694^o[/tex]

More about the trigonometry link is given below.

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y = 8

hope this helps :)

Answer:

Option A, -4

Step-by-step explanation:

Step 1:  Make an equation to represent the problem

(-9)(x) = 36

Step 2:  Solve for x by dividing both sides by -9

-9x / -9 = 36 / -9

x = -4

Answer:  Option A, -4

Answer:

104

Step-by-step explanation:

x+37=141

subtract 37 from both sides

 -37=141-37

x= 104

Step-by-step explanation:

x = First number

x + x + 37 = 141 (Because we know that the 2nd number is 37 more than the first, we can just say x + 37.)

2x + 37 = 141 (Combine like terms.)

2x = 104 (Subtract 37 from both sides.)

x = 52 (Divide 2 from both sides.)

Now we know that the first number is 52. Now we just add the 37 to 52 to find the second number.

37 + 52 = 89 = Second number

Proof: 52 + 89 = 141

Answer:

( x - 4)

Step-by-step explanation:

x² + 2x - 24

From here, you must find the two factors of -24 (the first and third terms' coefficients multiplied together) that add up to 2 (the middle terms coefficient)

( x - 4) ( x + 6)

Other factor of x² + 2x - 24 is (x - 4).

Factors and multiples are two related concepts in math. A factor is a number that divides the given number exactly with 0 as the remainder.

Given expression

x² + 2x - 24 has factor (x + 6)

So, the expression should be divisible by (x + 6)

(x² + 2x - 24)/(x + 6)

It can be written as

(x² + 6x - 4x -24)/(x + 6)

Factoring out common factor

(x (x + 6) - 4 (x + 6))/(x + 6)

factoring out common factor

(x + 6)(x - 4)/(x + 6)

Simplifying

= (x - 4).

Hence, (x - 4) is other factor of x² + 2x - 24.

Learn more about factor here:

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Answer:

1 inch : 5⅓ miles

6 inches

Step-by-step explanation:

Map : Actual

4½ : 24

1 : 24/4.5

24 ÷ 9/2 = 24 × 2/9 =

1 inch on map represents an actual distance of 16/3 miles in actual

16/3 = 5⅓ miles

Map : Actual

¼ inch : 1 mile

X inch : 24

¼×24 = 6 inches

Answer:    3/16 inches : 1 mile

                  6 inches

Step-by-step explanation:

[tex]\dfrac{\text{Model}}{\text{Actual}}:\dfrac{4\frac{1}{2}\ inches}{24\ miles}\div\dfrac{24}{24}=\dfrac{\frac{3}{16}}{1}\quad \longrightarrow \quad \large\boxed{\dfrac{3}{16}\ inches:1\ mile}\\[/tex]

[tex]\dfrac{\text{Model}}{\text{Actual}}:\dfrac{\frac{1}{4}\ inches}{1\ mile}=\dfrac{x}{24\ miles}\\\\\\\text{Cross Multiply}:\quad \dfrac{1}{4}\bigg(24\bigg)=x\\\\.\qquad \qquad \qquad \qquad \quad \quad \large\boxed{6=x}[/tex]

Answer:

The negation to the given statement "At least one gift in the bag is wrapped - true" is " At least one gift in the bag is not wrapped" - False

Step-by-step explanation:

Given statement is At least one gift in the bag is wrapped is true

The negation to the given statement is " At least one gift in the bag is not wrapped" - False

To determine whether the statement is a negation of the given statement is True or False :

Answer:

C = 6pi units

or

C is approximately 18.84 units

Step-by-step explanation:

The circumference of a circle is given by

C = pi *d

The diameter is 6 units

C = 6*pi units

If we approximate pi by 3.14

C = 6*3.14

C = 18.84 units

Answer:

6x

Step-by-step explanation:

x + x + x + 2x + x

Simplify the equation

4x + 2x

6x

Hope this was useful to you!

Solution:

Given that,

One of the acute angles in a right triangle has a measure of 34.6°

The sum of the three angles of a triangle is always 180 degrees.

Also, that the measure of a right angle is always 90 degrees

Let "x" be the other acute angle

Therefore,

x + 90 + 34.6 = 180

x + 124.6 = 180

x = 180 - 124.6

x = 55.4

Thus the measure of other acute angle is 55.4 degrees

Answer:

Yes, what the other person said

Step-by-step explanation: basically you subtract 90.0 - 34.6

Answer:

3 3/8

Step-by-step explanation:

Answer:

Hi there!

The correct answer will be 15 yd

Step-by-step explanation:

There are two ways you can go about solving this problem

Method One: Pythagorean Theorem

a^2 + b^2 = c^2 then all you have to do is plug in the values

(12)^2 + (9)^2 = c^2 you should get c^2 = 225 then you square root both sides and you get c = 15

Method Two:  Pythagorean Identities

This triangle represents a 3,4,5 triangle

All the sides just tripled so that means the hypotenuse is 5*3 which equals 15

The small number is 2.

The large number is 3.

Step-by-step explanation:

Let the two consecutive numbers be x and x+1.

The sum of these two consecutive integers = small integer + large integer

The sum of these two consecutive integers is x+x+1 = (2x+1)

It is given that,

Therefore, it can determined that :

(2x+1) = 3x-1

Keeping x term on one side and constants on other side,

3x-2x = 1+1

x = 2

Therefore, the small number is 2 and the large number is x+1 = 3.

Answer:

third option

Step-by-step explanation:

Given f(x) has zeros x = a, x = b, then

the factors are (x - a), (x - b) and the polynomial is the product of the factors.

Complex zeros occur as conjugate pairs, thus

5 + 4i is a zero then 5 - 4i is a zero

The zeros are x = 3, x = - 13, x = 5 + 4i, x = 5 - 4i, thus the factors are

(x - 3), (x - (- 13)), (x - (5 + 4i)), (x - (5 - 4i)), that is

(x - 3), (x + 13), (x - 5 - 4i), (x - 5 + 4i)

= (x - 3), (x + 13), ((x - 5) - 4i), ((x - 5) + 4i)

The polynomial is the product of the factors

f(x) = (x - 3)(x + 13)((x - 5) - 4i)((x - 5) + 4i) ← expand factors in pairs

     = (x² + 10x - 39)((x - 5)² - 16i²) → i² = - 1

     = (x² + 10x - 39)(x² - 10x + 25 + 16)

     = (x² + 10x - 39)(x² - 10x + 41) ← distribute

     = [tex]x^{4}[/tex] - 10x³ + 41x² + 10x³ - 100x² + 410x - 39x² + 390x - 1599 ← collect terms

     = [tex]x^{4}[/tex] - 98x² + 800x - 1599

Answer:

The third option

Step-by-step explanation:

Answer:

182 miles

Step-by-step explanation:

52 times 3.5=182

The Answer is 182 miles

When multiplying 52 by 3.5 you'll get 182 as the product

Answer:

$16.15

Step-by-step explanation:

The wholesale price:

Selling Price:

Pair of shoes sold for $16.15 in the store

The department store marks up the wholesale price by 90%, equating to $7.65. Adding this to the original wholesale price of $8.50, the retail price of the shoes in the department store is $16.15.

To calculate the retail price of the shoes in the department store, we need to add the markup value to the original wholesale price. The markup is 90% of the wholesale price. Therefore, we calculate 90% of $8.50, and then add that to the original price.

To find 90% of $8.50, we multiply $8.50 by 90/100. This gives us $7.65. This is the markup value.

We then add this markup value to the original wholesale price. So, $8.50 + $7.65 = $16.15.

The price of the pair of shoes in the department store is therefore $16.15.

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Answer:

Part a) Alyssa's expectation is equal to $0.33

Part b) Gabriel's expectation is equal to -$0.33

Step-by-step explanation:

we know that

The expected value is the probability of winning multiplied by the value you get when you win, plus the probability of losing multiplied by the value you get when you lose (which is negative as it is a loss).

Part a) Determine​ Alyssa's expectation

we know that

1) If Alyssa rolls a​ 1, 2, or​ 3, Gabriel gives Alyssa ​$4

The probability is 3/6

so

we have

[tex]\frac{3}{6}(4)=\$2[/tex]

2) If Alyssa rolls a​ 4, or​ 5, Gabriel gives Alyssa ​$1

The probability is 2/6

so

we have

[tex]\frac{2}{6}(1)=\$0.33[/tex]

3) if Alyssa rolls a​ 6, she gives Gabriel ​$12

The probability is 1/6

so

we have

[tex]-\frac{1}{6}(12)=-\$2[/tex]  ---> is negative because is a loss

therefore

Alyssa's expectation is equal to

[tex]\$2+\$0.33-\$2=\$0.33[/tex]

Part b) Determine​ Gabriel's expectation

we know that

1) If Alyssa rolls a​ 1, 2, or​ 3, Gabriel gives Alyssa ​$4

Is a loss for Gabriel

The probability is 3/6

so

we have

[tex]-\frac{3}{6}(4)=-\$2[/tex]  ---> is negative because is a loss

2) If Alyssa rolls a​ 4, or​ 5, Gabriel gives Alyssa ​$1

Is a loss for Gabriel

The probability is 2/6

so

we have

[tex]-\frac{2}{6}(1)=-\$0.33[/tex] ---> is negative because is a loss

3) if Alyssa rolls a​ 6, she gives Gabriel ​$12

Is a win for Gabriel

The probability is 1/6

so

we have

[tex]\frac{1}{6}(12)=\$2[/tex]  

therefore

Gabriel's expectation is equal to

[tex]-\$2-\$0.33+\$2=-\$0.33[/tex]

The expected outcomes for both Alyssa and Gabriel from the game are $0. This is calculated using the probabilities of each outcome and their respective gains or losses.

In the game between Alyssa and Gabriel, we are to calculate the expected outcomes for both players. To calculate the expectation, we will weigh the possible outcomes ($4, $1, -$12 for Alyssa and -$4, -$1, $12 for Gabriel) by their probabilities.

The dice has six faces, so the probability for each outcome is determined by the number of corresponding faces divided by six. Let's calculate the expectation for both:

So, both Alyssa and Gabriel have an expected gain of $0 from this game.

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Answer:

The associative property states that you can add or multiply regardless of how the numbers are grouped. By 'grouped' we mean 'how you use parenthesis'. In other words, if you are adding or multiplying it does not matter where you put the parenthesis. Add some parenthesis any where you like!.

The Commutative property states that order does not matter. Multiplication and addition are commutative.

hope this helps please mark brainliest!

Answer:

B

Step-by-step explanation:

B produces the term 12x that cancels out after subtraction.

In order to eliminate one variable by subtracting, you should multiply the top equation by -3 and the bottom equation by 2. In doing so, this will make the coefficients of y equal and opposite, allowing this variable to be eliminated when the two equations are added together.

The question relates to the method of solving a system of linear equations by subtraction. In order to eliminate one variable when subtracting these equations, we would need to manipulate the equations such that the coefficients of one variable are exact opposites. Hence, the objective is to make the coefficients of y, -2 and -3, opposite each other.

To achieve this, the correct answer is C. Multiply the top equation by -3 and the bottom equation by 2.

By performing these multiplications we'll have:
-12x + 6y = -21.
6x - 6y = 30.
Now, if we add these two equations, we'll be able to eliminate the y variable and can proceed to solve for x.

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Answer:

=3

=2

Step-by-step explanation:

12−5+6=0

using the Quadratic Formula where

a = 1, b = -5, and c = 6

=−±2−4‾‾‾‾‾‾‾‾√2

=−(−5)±(−5)2−4(1)(6)‾‾‾‾‾‾‾‾‾‾‾‾‾‾√2(1)

=5±25−24‾‾‾‾‾‾‾√2

=5±1‾√2

The discriminant 2−4>0

so, there are two real roots.

Simplify the Radical:

=5±12

=62=42

which becomes

=3

=2

hope this helps :)

Answer:

110

Step-by-step explanation:

Answer:

105 miles

Step-by-step explanation:

first we have to find her speed before it is reduced

so

60/1.5

thats equal to 40

she can travel 40 mph

reduce that by 5 so her speed is now 35mph

35*3=105

Answer: Yes

sdizjaoijf

Answer:

-3.66666666668

Step-by-step explanation:

The zero's you do not have to add because they have to content or value.

-4 5/9 into improper = 31/9 = -4.55555555556

8/9 = 0.88888888888

ADD

[tex]\left\begin{array}{ccc}-4.55555555556\\+\\0.88888888888\end{array}\right\\---------[/tex]

-3.66666666668

Hope this helps you!

Have a good night! :)

Answer:

-3.66666666668

Step-by-step explanation:

Final answer:

The store sells 270 bottles of aqua paint when it sells 30 bottles of green paint.

Explanation:

To find out how many bottles of aqua paint the store sells when it sells 30 bottles of green paint, we can set up a proportion. Since the store sells 9 bottles of aqua paint for every 1 bottle of green paint, we have the ratio 9/1. We can set this equal to the unknown quantity, x, over 30 (the number of green paint bottles).

9/1 = x/30

Next, cross multiply to solve for x. Cross multiplying gives us:

9 * 30 = 1 * x

Simplifying this equation gives us:

270 = x

Therefore, the store sells 270 bottles of aqua paint when it sells 30 bottles of green paint.