What is the radian equivalent for 180 degrees ?

If a tower casts a shadow 12 m long while a nearby building casts a shadow 8 m long and the building is 16 m high, then the height of the tower is equal to 24 m.

The height of the tower can be determined by using proportionality.

In this problem, the shadows of the building and the tower are proportional to the heights of the building and the tower.

Hence, the equation can be written as:

shadow of the tower ÷ shadow of the building = height of the tower ÷ height of the building

12 / 8 = h / 16

Here h is equal to the height of the tower

1.5 = h / 16

h = 1.5 x 16

h = 24

Hence, the height of the tower is calculated to be 24 meters.

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Answer:

-8b^3ax^2

Step-by-step explanation:

Answer:

The sum of the exterior angles in a convex 50-gon polygon is 360° ⇒ A

Step-by-step explanation:

In the question

∵ The polygon has 50 sides

→ By using the 3rd rule above

∵ The sum of the exterior angles of any polygon (n-gon) is 360°

∴ The sum of the exterior angles in a convex 50-gon polygon is 360°

The account after 1 year if he makes no withdrawals will be $309.

Omar deposits $300 in an account earning 3% interest compounded annually.

And,  3% interest compounded annually

To find the how much will be in the account after 1 year if he makes no withdrawals?

Now, According to the question:

We know that

P = 300

r = 3%

n = 1

t = 1

where:

P = Principle

r=rate

n=time

And formula is:

P ×[tex](1+r/n)^n^t[/tex]

Substitute the values in the formula

= 300 × [tex](1 + \frac{3}{100} / 1 )^1[/tex]

Evaluate the equation / expression , we get

= 309

Hence, The account after 1 year if he makes no withdrawals will be $309.

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Answer:

[tex]\angle 6 = 93[/tex]

Step-by-step explanation:

[tex]\angle 5 = 87[/tex] by properties of parallel lines

[tex]\angle 5 + \angle 6 = 180[/tex] because they form a straight angle

[tex]87 + \angle 6 = 180\\\\\angle 6 = 180-87\\\\\angle 6 = 180 - 80 - 7\\\\\angle 6 = 100 - 7\\\\\angle 6 = 93 \longleftarrow[/tex]

Step-by-step explanation:

An exterior angle of a triangle is equal to the sum of the two opposite interior angles.

so in first picture

1 is exterior angle of the triangle

it means that

1=2+3

so is evident that m 1 > m 2

in the second picture

1 is the exterior angle of the triangle

so

1=3+4

but 3=2 as alternate interior angles

definition:The Alternate Interior Angles Theorem states that if two parallel lines are cut by a transversal, then the pairs of alternate interior angles are congruent.

so is evident that m 1 > m 2

Answer:

see explanation

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

(1)

∠ 1 is an exterior angle of the triangle, then

∠ 1 = ∠ 2 + ∠ 3

Thus ∠ 1 must be > ∠ 2

(2)

∠ 3 = ∠ 2 ( alternate angles )

∠ 1 is an exterior angle of the triangle, then

∠ 1 = ∠ 3 + ∠ 4 = ∠ 2 + ∠ 4

Thus ∠ 1 > ∠ 2

Answer:

Step-by-step explanation:

y = 4x + 2                 Substitute x = -6

y = 4(-6) + 2

y = -24 + 2

y = - 22

Answer:

formulla of perimeter of rectangle

Step-by-step explanation:

perimeter of rectangle=2(l+b)

= 2(7.5+3.25)

=2(11.25)= 22.5

Step-by-step explanation:

l = 7.5cm

b = 3.75cm

perimeter of rectangle = 2(l+b)

= 2(7.5+3.75)

= 2(11.25)

=22.5cm

The equilibrium price of hot dogs A. increases.

The equilibrium quantity of hot dogs A. increases

The supply curve shifts right

The demand curve shifts right.

It should be noted that the equilibrium price is the pice at which the quantity demanded and supplied is equal

In this case, the equilibrium price of hot dogs increases and the equilibrium quantity of hot dogs increases.

This will cause a positive affect on the supply and demand curve and they will shift I the right.

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Answer:

4x

Step-by-step explanation:

2x+6+2x−6

=2x+6+2x+−6

Combine Like Terms:

=2x+6+2x+−6

=(2x+2x)+(6+−6)

=4x

Answer:$20

Step-by-step explanation: We first need to figure out how much a single candy is worth. To do that we need to divide 40 candy bars by $30. 40/30 is equal to 4/3 or $1.33 dollars each. Now we multiply 15 by the price of a single candy bar which is 4/3 or 1.33 dollars. 4/3*15 is $20.

Answer:

y = 17

Step-by-step explanation:

2y + 2 = 3(y - 5)

2y + 2 = 3y - 15

-y = -17

y = 17

Answer:

0.856p dollars

Step-by-step explanation:

Original price of TV: p

Discount: 20% of p

Discounted price: p - 20% of p = p - 0.2p = 0.8p

7% sales tax on the discounted price of 0.8p: 0.07 * 0.8p = 0.056p

Add the 7% tax to the discounted price: 0.8p + 0.056p = 0.856p

Answer: 0.856p dollars

Answer:

I believe the answer is C.

Step-by-step explanation:

Hope this helps you.

Answer:

_5x/4 radians is answer

Answer:

719

Step-by-step explanation:

addition yes

Answer:719 bags

Step-by-step explanation:

Add:642+50+22=714

Then add 714+5=719

Answer:

x=5.6

Step-by-step explanation:

The equation is

2/1.6=7/x

1.25=7/x

1.25x=7

x=7/1.25

x=5.6

Answer:

Step-by-step explanation:

We will use a proportion to solve this. All we need are two corresponding values. One is x and 7, we'll pick the other as 32 and 4.

Now, we'll set up the proportion

[tex]\frac{x}{7} = \frac{32}{4}[/tex]

To solve a proportion, we cross multiply the means and extremes.

4x = 32 x 7

4x = 224

x = 56

We can check the proportion by substituting our answer in for x and seeing if the products equal. If they do, we know we have the correct answer.

4(56) = 32 x 7

224 = 224 ✅

Answer:

my acc just got yeeted by a penguin pfp

Step-by-step explanation:

Answer:

oops look in commments

Step-by-step explanation:

Answer:

Ans is ( 1 , 4 )

Step-by-step explanation:

meter jhdogasdoiew

Answer:

(1, -5).

Step-by-step explanation:

The robot is at the point (-3, -5).

If it moves 4 to the right the x coordinate increases by 4 and the y-coordinate stays the same.

The answer is

((-3 + 4, -5)

= (1, -5).

Answer:

no, real numbers do not have first numbers.

Step-by-step explanation:

There are also more complicated number systems than the real numbers, such as the complex numbers. Every real number is a complex number, but not every complex number is a real number. Similarly, 3/7 is a rational number but not an integer.

Answer:

11/4

Step-by-step explanation:

4/4 is 1 whole.

We have 2 whole.

So, right now we have: 8/4

We can't forget about the 3/4!

8/4+3/4=11/4

This means your total is 11/4

Hope this helps you out!

-AxekickNebulite

The value of an improper fraction of a mixed number [tex]2 \dfrac{3}{4}[/tex] would be [tex]\dfrac{11}{4}[/tex].

Used the concept of the fraction that states that,

A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written in the form of p: q, which is equivalent to p / q.

Given that the mixed number [tex]2 \dfrac{3}{4}[/tex].

Now, change the mixed number [tex]2 \dfrac{3}{4}[/tex]  into an improper fraction as,

[tex]2 \dfrac{3}{4} = \dfrac{(2\times 4 )+ 3}{4}[/tex]

[tex]= \dfrac{11}{4}[/tex]

Therefore, The value of an improper fraction would be [tex]\dfrac{11}{4}[/tex].

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The positive even integers whose sum of reciprocals is 7/24 are 6 and 8.

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

Let the two consecutive even integers be 2x and 2x+2 then there sum of reciprocal will be 7/24 that is now solving for positive value of x by finding roots of quadratic equation :

[tex]\begin{aligned}\frac{1}{2x}+\frac{1}{2x+2}&=\frac{7}{24}\\\frac{1}{x}+\frac{1}{x+1}&=\frac{7}{12}\\\frac{2x+1}{x^2+x}&=\frac{7}{12}\\24x+12&=7x^2+7x\\7x^2-17x+12x&=0\\x&=3, \frac{-4}{7} \end{aligned}[/tex]

Consider only positive value of x that is 3

Therefore, The positive even integers whose sum of reciprocals is 7/24 are 6 and 8.

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Answer:

c

Step-by-step explanation:

Answer and explanation:

The equation y=4.2x can be represented by a situation such as the total price of a number of goods

For example, if the total price of chocolate candies purchased from a store is given by the equation

y=4.2x

Such that the price per chocolate candy is $4.2 and x number of chocolate candies are bought, total price of chocolate candies bought is y

If 6 chocolate candies are bought, total price y using the equation would be

y=4.2 *6= $25.2

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

The distance from the balcony to the ground level = 37 - 0 = 37ft

The distance from the basement floor to the ground level = 0 - (-17) = 17 feet

the distance of the balcony and basement from ground level will be the sum of the distances gotten = 37 - (-17)

= 37 + 17

= 54 feet

Hence the distance of the balcony and basement from ground level is 54 feet