a rope is tied to the top of a 4-meter building its other end is tied to the ground 1 meter away form the building. what is an equation for the ropes height y at distance x from the building in standard from a x-4y=4 b 4x-y =4 c 4x+y=4d x-4y=-4

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

Circumference of a circle :

[tex]\qquad \tt \dashrightarrow \:2 \pi r[/tex]

And we have been given that Circumference = 24 cm

So, let's equate them and find radius (r) :

[tex]\qquad \tt \dashrightarrow \:2 \pi r = 24[/tex]

[tex]\qquad \tt \dashrightarrow \:r = \dfrac{ 24}{2 \pi}[/tex]

[tex]\qquad \tt \dashrightarrow \:r = \dfrac{ 12}{3.14}[/tex]

[tex]\qquad \tt \dashrightarrow \:r = 3.82 \: \: cm[/tex]

So, we got the radius here. now let's equate it with expression in terms of x to find value of x

[tex]\qquad \tt \dashrightarrow \: \sqrt{x + 2} = 3.82[/tex]

[tex]\qquad \tt \dashrightarrow \:{x + 2} = (3.82) {}^{2} [/tex]

[tex]\qquad \tt \dashrightarrow \:{x } \approx 14.59 - 2[/tex]

[tex]\qquad \tt \dashrightarrow \:{x } \approx 12.59 \: \: cm[/tex]

x = 12.61

===========

[tex]\bold{C = 2\pi r}[/tex]                                     [ C = 24, π = 3.14, r = √x+2 ]

Answer: 495

Step-by-step explanation:

Since the foil covers the object and does not fill it, this problem is a matter of surface area rather than volume. Surface area is finding the area of all the faces, and adding them up.

Since we know the two triangular ends are not covered, this actually makes the problem easier.

Going with our definition of surface area above, we do:

(16.5 * 13) + (16.5 * 12) + (16.5 * 5) = 495

Our answer is 495

Answer:

C: 495ft²

Step-by-step explanation:

You need to calculate and add the surface area of the three rectangular faces of this prism. The two triangular ends are not covered in the foil as stated in the question. You find this like any other rectangle by multiplying the length by the width. (a = lw)

Let's start with the bottom rectangle, it has dimensions of 5x 16.5ft

5 * 16.5 = 82.5

Now the rectangle on the right side.

13 * 16.5 = 214.5

Now the left or back side rectangle.

12 * 16.5 = 198

Now add these values together

82.5 + 214.5 + 198 = 495ft²

Answer:

27

step by step explanation

if you are calculating for the area of the figure, divide the shape into two figures and you will get two rectangles

for shape 1

length=3 width=5

for shape2

length 7-3=4

width=3

area of shape1. =3×5=15

area of shape2. =4×3=12

area of the shape= 12+15 = 27

Answer: this is a acute triangle

Step-by-step explanation: acute triangle angles are all less than 90°

Step-by-step explanation:

number of boys = total no. of students - no. of girls

= 900 - 300

= 600

ratio of boys and girls = no. of boys : no. of girls

= 600 : 300

= 200

= 600 : 900

= 200: 300

= 2:3

= 300 : 900

= 1:3

= 300 : 600

Answer:

y = 2x - 0.75

Step-by-step explanation:

Slope-intercept form is:

⇒ y = mx + b

m being the slope and b being the y-intercept.

The given slope and y-intercept:

⇒ Slope ⇒ 2

⇒ Y-intercept ⇒ -3/4

Plug in:

⇒  y = 2x - 0.75 (3/4)

Answer:

please solve this quickly tommorow is my maths exam

Answer:

11

Step-by-step explanation:

Answer:

Blue stars are the hottest stars.

Answer:

y = −3x −30

Step-by-step explanation:

Slope-intercept form: y = mx + b

y = mx + b

y = −5(x + 6) + 2x <== distribute -5

y = −5(x) + −5(6) + 2x

y = −5x −30 + 2x <== combine like terms

y = −3x −30

y = −3x −30

Hope this helps!

first number: x

second number: x -4

Answer: It is the centroid of a triangle or A. Centroid  

Step-by-step explanation:The centroid of a triangle is the intersection of the three medians of the triangle (Where each median connecting a vertex with the midpoint of the opposite side)

The incenter of a triangle is the point where the angle bisectors of the all vertices of the triangle intersect.

The orthocenter of the triangle is the point where all three altitudes of the triangle intersect. where An altitude is a line which passes through a vertex of the triangle and is perpendicular to the opposite side.

The circumcenter of the triangle is the point where the perpendicular bisector of the sides of the triangle intersect.

Answer:

x² - 6x = 7

x² - 6x + 9 = 7 + 9

(x - 3)² = 16

x - 3 = ± 4

x - 3 = 4 and x - 3 = -4

x: {-1, 7}

Largest value of x = 7

Smallest value of x: -1

I hope this helps!

Answer:

[tex](3*x)+5[/tex]

Step-by-step explanation:

Let the variable x equal "a number"

The phrase times means we multiply the variable x by the constant 3.

The phrase sum of means we add the constant 5 to the term (3 * x).

[tex](3*x)+5[/tex]

Answer: 3x + 5 that's the answer i had to type this cause the answer was to short to post lol

Answer:

√800 = 28 cm

Step-by-step explanation:

Your c value is 40cm beacause c=length of the hypotenuse, or in this case the diagonal of the chess board.

You now have 2a2=402.

Start solving it:

2a2=402

2a2=1600

(2a2)/2=1600/2

a2=800

√(a2)=√800

a=√800 cm

You can plug this back in to check your answer, and also be sure that a=b is true.

a2+b2=c2

(√800)2+(√800)2=c2

800+800=c2

1600=c2

√1600=√c²

40=c

Answer:8x3/5=4.8

Step-by-step explanation:

Answer:

in simple form its 4.8

for a improper fraction its 43/5

I will comment for the mixed number but if this is correct can u mark me brainliest

Answer:

D

Hence the expression is 3n-2

Answer:

19.8 X 0.098 = 1.9404
increased 1.9404 from 2013 to 2014

19.8 + 1.9404= 21.7404

increasses another 5.1% for 2014 to 2015

21.7404 X 0.051 = 1.1087757

1.1087757 + 21.7404 = 22.8491757

Total output of wheat for 2015 is 1.11

Total output of wheat 22.85 rounded off

Step-by-step explanation:

#1

Clockwise 90° rotation rule (x,y)—»(y,-x)

#2

Dilation of scale factor 2

#3

reflection across x axis rule (x,y)—»(x,-y)

#4

Rule for given translation (x-5,y+2)

Answer:

Given points:

Part (a)

Rotate 90° clockwise (about the origin): (x, y) → (y, -x)

Part (b)

Dilation by a scale factor → multiply the points by the scale factor

scale factor = 2

Part (c)

Reflect across the x-axis:  (x, y) → (x, -y)

Part (d)

Translate 2 up and 5 to the left:  (x, y) → (x - 5, y + 2)

Answer:

-2/5

Step-by-step explanation:

5x - 2y = -10

-2y = -5x - 10

y = 5/2x + 5

m = 5/2

Perpendicular lines have slopes that are negative reciprocals of one another. For example, 5 would become -1/5 and 1/3 would become -3.

If m = 5/2

Perpendicular line m = -2/5

Hope this helps!

Answer:

The slope of the line perpendicular to this line is -2/5.

Step-by-step explanation:

5x - 2y = -10

Let's simplify this equation to be in slope-intercept form: y = mx + b.

Start by adding 2y to both sides of the equation.

Next, add 10 to both sides of the equation.

Divide both sides of the equation by 2.

The slope of this line is the coefficient of x; in this case, it is 5/2.

If we want to find the slope of the line perpendicular to this line, we take the opposite (change the sign) reciprocal (flip the fraction).

The slope 5/2 becomes -2/5.

Therefore, the slope of a line perpendicular to the line whose equation is 5x - 2y = -10 is -2/5.

Answer:

A 37,518

Step-by-step explanation:

this is because you take 11% of 33,800 which is 3,718 and add that back too your orignial value which gives you 37,518. I think that also answers part B for you.

Answer:

Rectangular Prism

as Opposite sides are equal

Answer:

Answer:

y = 2x + 5

Step-by-step explanation:

REMEMBER:

⇒ The equation y = 2x + 2 is written in slope- intercept form (i.e. y=mx + b) where m represents the slope.  So the slope of this line is 2.   A line parallel to y = 2x + 2 will have the same slope.  This means the slope of the new line will also be 2.  

To determine the equation of the new line, we can use the given point  to find the y intercept of the new line:
⇒ y = 2x + b

Use x = -1 and y =3 to find b (or the y intercept ) of the new line:

⇒ 3 = 2 * (-1) + b

⇒ 3= -2 + b

⇒ b=5

Therefore, the equation of the line passing thru (-1,3) with the same slope as that of y = 2x + 2 will be:

⇒ y = 2x + 5

Answer:

y = 2x + 5

Step-by-step explanation:

Given line equation 2x - y + 2 = 0

Equation of line parallel to this line will be of form

=> 2x - y + k = 0 ( where 'k' is a constant )

Now this line passes through (-1,3)

=> 2(-1) - (3) + k = 0

=> -2 - 3 + k = 0

=> k - 5 = 0

=> k = 5

Therefore the required line equation is 2x - y + 5 = 0 or y = 2x + 5

Hope you've understood the solution.

The answer is A. True.

Hope this helps

Answer:

True

Step-by-step explanation:

Two triangles are similar { ~ } only when they have same shape. And as these figures have same shape so they are similar. And their corresponding sides are equal too...

Answer:

x = 5

x = -15

Explanation:

Let the number be "x"

===================

Answer:

x= 5 or -15

Step-by-step explanation:

let the number be x

(x+5)^2=100

x^2+10x+25=100

x^2+10x-75=9

look for factors of 75 that when you gives you 10 and when you multiply gives you -75

those factors are 15 and -5

replace 10x with 15x and -5x

x^2+15x-5x-75=0

then group them, and factorize

x(x+15)-5(x+15)=0

x-5=0 or x+15=0

x= 5 or x= -15

Answer:

i believe the answer is C

Step-by-step explanation:

Answer:

(C) 3√3

Step-by-step explanation:

Think of √3 as x.

Then 2x + x = 3x, so

2√3 + √3 = 3√3

perspective

I hope this helps you

:)

Answer:

~9.6 years it will be worth 3.23 mil.    

Step-by-step explanation:

This problem requires use of the growth formula.

PART 1:

Equation:

[tex]3,230,000 = 850,000 * (1.15)^6[/tex]

By solving this you get:

A valuation of $1,966,101.65078125 after 6 years

PART 2:

Equation:

[tex]3,230,000 = 850,000*(1+.15)^x[/tex]

By solving this (which im too lazy to show the steps for) you get:

x = years

x = ~9.6 years / 9.55196417 years

Answer:

heya! ^^

[tex]2x {}^{3} = x {}^{2} + 6x \\ \\ 2x {}^{3} = x(x + 6) \\ \\ dividing \: both \: sides \: by \: x \\ \\ \frac{2\cancel{x} {}^{3} }{\cancel{x}} = \frac{\cancel{x}(x + 6)}{\cancel{x}} \\ \\ 2x {}^{2} = x + 6 \\ \\ 2x {}^{2} - x - 6 = 0 \\ \\ by \: splitting \: the \: middle \: term \: ( - x) \\ \\ 2x {}^{2} - 4x + 3x - 6 = 0 \\ \\ 2x(x - 2) + 3(x - 2) = 0 \\ \\ 2x + 3 = 0 \: \: \: or \: \: \: (x - 2) = 0 \\ \\ x = \frac{ - 3}{2} \: \: \: \: or \: \: \: \: x = 2[/tex]

hope helpful :D