Finding the size of a billboard on side of road with unknown number or variable

Answers

Answer 1
Answer: Let's say the number is 5. 5 represents w or width. If the rule is w*8=h, then we just use 5*8, because the h is 8*w, which is 5. Follow this rule to solve these types of problems. Hope this helped!

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Can you please solve a it is so important
2^1-x=3^2x-3 solve for X
I need help again LOLLL⠀⠀⠀⠀​
(Helpppp)Write slope-intercept form of the line which is perpendicular bisector toa segment with endpoints A(5,9), B(7,13).
HELP PLZZZZ like asap

Which statement is the following a counterexample for?2 ∙ 11 = 22

A.If you multiply two numbers greater than 5, then their product is greater than 25.
B.If the product of two numbers is even, then both numbers must be even.
C.If x ∙ y = 1, then x or y must equal 1.
D.If two times a number is greater than 16, then the number must be greater than 9.

Answers

I believe the correct answer is C.

Please help! Fast
−6(2x−4)≤30.

Answers

Answer:

x> -1/2

Step-by-step explanation:

Answer:

The answer is x > - 1/2

Step-by-step explanation:

Any number that is divisible by 2 is also divisible by 8.Find a counterexample to show that the conjecture is false.
24
32
28
16

Answers

28

28/8=3.5

...................
You don't have to go any further than 2 itself.

All of the even numbers that are not multiples of 8 are counterexamples.

28 is a good one.

Allentown got 2 feet less than twice the amount of snow Georgetown got . Allentown got 3 feet more snow than Georgetown. How many feet of snow dis Allentown(x) and Georgetown (y) each get

Answers

Answer:

Allentown(x) got 8 feet of snow and Georgetown(y) got 3 feet of snow

Step-by-step explanation:

Allentown got 2 feet less than twice the amount of snow Georgetown got . Allentown got 3 feet more snow than Georgetown.

Allentown = x     and  Georgetown=y

To solve this we need to represent this information mathematically;

'Allentown got 2 feet less than twice the amount of snow Georgetown got' can be written mathematically as;    x = 2y - 2

and

'Allentown got 3 feet more snow than Georgetown' can be mathematically written as x = y + 3

x=  2y  -  2  ----------------------(1)

x = y + 3  --------------------------(2)

Subtract equation (2) from equation (1)

[ x-x=0          2y-y = y          -2-3=-5]

0 = y  - 5

To get the value of y, add 5 to both-side of the equation

0+ 5  =  y-5+5

5=y

y=5

Substitute y=5 into equation (2)

x = y+3

x=5+3

x=8

Therefore Allentown(x) got 8 feet of snow and Georgetown(y) got 3 feet of snow


x=2y-2

x=y+3

Substitute the second equation into the first

y+3=2y-2

solve for y

y=5

plug into original

x=y+3=5+3=8 or x=2(5)-2=8

Allentown got 8 ft of snow, Georgetown got 5 ft of snow.

find the area of a regular hexagon with an apothem 10.4 yards long and a side 12 yards long. round your answer to the nearest tenth. show all your work

Answers

The answer is 374.4 yards.

There are 2 ways to calculate the area of a a regular hexagon.
It is given:
apothem: b = 10.4 yards
side: a = 12 yards

1. The direct way is to use the formula for the regular hexagon without using an apothem:
A= (3 √(3) )/(2) a^(2)
where
A - the area of the 
hexagon
a - the side of the 
hexagon

Therefore:
A= (3 √(3) )/(2) 12^(2)
A= (3 √(3) )/(2) 144
A= 374.4

2. The indirect way is to sketch the hexagon with 3 diagonals and create 6 triangles. Then, it is necessary to calculate the area of one triangle and multiply it by 6. In this triangle, apothem is actually the height.
The area of the hexagon is:
A = 6 · A₁
where:
A - the area of the hexagon,
A₁ - the area of the triangle

A_(1)= (a*h)/(2)

where
h - height of the triangle.


Since apothem (b) of the hexagon is the height (h) of the triangle, then:
A_(1)= (a*h)/(2)
A_(1)= (12*10.4)/(2)
A_(1)= 62.4

Thus, the area of one triangle is 62.4 yards.

To calculate the area of the hexagon, we will multiply it by 6:
A = 6 · A₁
A = 6 · 62.4
A = 374.4 yards

In both cases, the result is 374.4 yards.The answer is


Which statement describes the behavior of the function f(x)=3x/4-x?a. The graph approaches –3 as x approaches infinity.
b. The graph approaches 0 as x approaches infinity.
c. The graph approaches 3 as x approaches infinity.
d. The graph approaches 4 as x approaches infinity.

Answers

Answer:

The  graph approaches –3 as x approaches infinity. Option a is correct.

Step-by-step explanation:

The given function is

f(x)=(3x)/(4-x)

We have to find value of function as x approaches infinity. Take limit both sides as x approaches to infinity.

\lim_(x\rightarrow \infty)f(x)=\lim_(x\rightarrow \infty)(3x)/(4-x)

Taking x common from the denominator.

\lim_(x\rightarrow \infty)f(x)=\lim_(x\rightarrow \infty)(3x)/(x((4)/(x)-1))

Cancel out common factor x.

\lim_(x\rightarrow \infty)f(x)=\lim_(x\rightarrow \infty)(3)/((4)/(x)-1)

Apply limits.

\lim_(x\rightarrow \infty)f(x)=(3)/((4)/(\infty)-1)

\lim_(x\rightarrow \infty)f(x)=(3)/(0-1)

\lim_(x\rightarrow \infty)f(x)=-3

Therefore the  graph approaches –3 as x approaches infinity.

a. The graph approaches –3 as x approaches infinity.

f(x) = (3x)/(4-x) +3 -3 = (3x+12-3x)/(4-x) -3 = (12)/(4-x) -3