A flagpole is 10 m tall and has a shadow that is 7 m long. At the same time how tall is a nearby building if its shadow is 28m long?

Answer:

[tex]y=9x[/tex]

[tex]y=\frac{18x}{2}[/tex]

[tex]y=\frac{81x}{9}[/tex]

Step-by-step explanation:

The given equation is

[tex]3y=27x[/tex]

If we isolate [tex]y[/tex], we can find the constant

[tex]y=\frac{27x}{3}\\ y=9x[/tex]

So, the constant is [tex]k=9[/tex].

Another proportions that have the same constant as the given equation are

[tex]y=9x[/tex]

[tex]y=\frac{18x}{2}[/tex]

[tex]y=\frac{81x}{9}[/tex]

Answer:

a,b, and c

Step-by-step explanation: Got it from khan :)

Answer:

64x

Step-by-step explanation:

that would be my answer

hope this helps!!! :)

Answer:

64x

Step-by-step explanation:

Simplify into x*4 to the 3 power

Evaluate 4 to the 3 power is 64

Reorder x*64

Final answer = 64x

Answer:

im pretty sure its 777 hope this helped:)

Answer:

8π

Step-by-step explanation:

2 * π * r * 0.5

16π * 0.5

8π

Answer:

4 pi

Step-by-step explanation:

Answer/ Step-by-step explanation:

Simplest Radical Form. ... Expressing in simplest radical form just means simplifying a radical so that there are no more square roots, cube roots, 4th roots, etc left to find. It also means removing any radicals in the denominator of a fraction.

Please Mark BRAINLIEST! Really need it!

Got this image from one of my assignments:

Answer: markers are a dollar each and pencils are twenty five cents each

Step-by-step explanation:

2x1 = 2

5x.25 = 1.25

2+1.25= 3.25

4x1 = 4

6x.25= 1.50

4+1.30 = 5.50

Hope this helps and if you need me to explain it better feel free to ask!

25% discount means we pay 100% - 25% = 75% of the original price.

Relationship between sale price and regular price?

SalePrice = (1 - 25/100) × RegularPrice

Sale price is 75% of regular price.

Answer:

[tex] (x + 2)^2 + (y + 3)^2 = 9[/tex]

Step-by-step explanation:

Center = (-2, - 3) = (h, k)

Radius (r) = 3

Equation of circle in centre radius form is given as:

[tex] (x - h) ^2 + (y - k) ^2 = r^2 \\

\therefore \{x - (-2)\}^2 + \{y - (-3)\}^2 = 3^2 \\

\purple {\boxed {\bold {\therefore(x + 2)^2 + (y + 3)^2 = 9}}} [/tex]

Answer:

19.4 =u

Step-by-step explanation:

17/7 = u/8

We can use cross products to solve

17*8 = 7u

Divide each side by 7

17*8/7 = 7u/7

19.42857143 = u

To the nearest tenth

19.4 =u

Answer:

[tex]u = 19.42[/tex]

Step-by-step explanation:

[tex] \frac{17}{7} = \frac{u}{8} \\ \\ cross \: \: \: multiple \\ 17 \times 8 = 7 \times x \\ 136 = 7u \\ \frac{136}{7} = \frac{7u}{7} \\ u = 19.42[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

34

Step-by-step explanation:

area = bh/2

The area of the triangle with vertices X(6,8), Y(3,3), and Z(13,-3) is 34 square units.

Coordinates of vertices are:

X≡(6,8)

Y≡(3,3)

Z≡(13,-3)

The area of a triangle with the above vertices is given by:[tex]\frac{1}{2} [x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)][/tex]

So the area of the triangle with vertices X(6,8), Y(3,3), and Z(13,-3)

=[tex]\frac{1}{2} [6(3+3)+3(-3-8)+13(8-3)][/tex]

=34 square units.

Hence, the area of the triangle with vertices X(6,8), Y(3,3), and Z(13,-3) is 34 square units.

To get more about triangles visit:

https://brainly.com/question/2644832

Answer:

48 cm²  

Step-by-step explanation:

The lateral area (L) of a trapezoidal prism is the area of the four rectangles that connect the top and bottom trapezoids.  

The four rectangles make one large rectangle with length equal to the sum of the four sides — the perimeter (p).

1. Convert the height to centimetres

[tex]h = \text{0.3 dm} \times \dfrac{\text{10 cm}}{\text{1 dm}} = \text{3 cm}[/tex]

2. Calculate the perimeter

p = 3 cm + 4 cm + 5 cm + 4 cm = 16 cm

3. Calculate the lateral area

L = ph = 16 cm × 3 cm = 48 cm²

The lateral area of the prism is 48 cm².

Answer:

V=π r^2 h/3

d=2 3/8 inches

convert to radius   d=2r

d=2.375 (value of 2 3/8 inches in decimal)

2.375 divide by 2

r=1.1875 inches

V=π r^2 h/3

V=3.14 x 1.1875^2 x 6/3

Volume will be 8.85.

Step-by-step explanation:

Answer:

I Have the same question

Step-by-step explanation:

Plz answer this for us.

Answer: A! x=-1 2/5, y= 1 3/5

Step-by-step explanation:

First put -3x+3y=9 into slope-intercept form(y=mx+b)

3y=-3x+9

then solve for y

y=-1x+3

enter your y-intercept into the equation below..

2x-7(-1x+3)=-14

2x+7x-21=-14

2x+7x=-14+21(when changing sides it changes signs that's why 21 is now a positive)

2x-7x=7

-5x=7 divide -5 into 7

7/5

x=-1 and 2/5

then input x back into the first equation

-3(7/-5)+3y=9

21/5+3y=9

3y=9-21/5

3y=24/5

divide 3 into 24/5

=24/15=1 and 9/15 reduce it anddd

y=1 and 3/5

Answer:

y = 2(x + 4)² - 6

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Define function

y = 2x² + 16x + 26

Step 2: Find vertex form

Answer: x = 10

Step-by-step explanation:ln20+ln5=2lnx

ln(20x5)=lnx^2

ln100=1nx^2

100=x^2

square root

x=10

The true solution is x = 10 of the expression ln 20 + ln 5 = 2 ln x which is correct answer would be option (B).

There are four basic properties of logarithms:

logₐ(xy) = logₐx + logₐy.

logₐ(x/y) = logₐx - logₐy.

logₐ(xⁿ) = n logₐx.

logₐx = logₓa / logₓb.

According to the problem, we will use some of the basic logarithmic properties,

Given expression,

⇒ ln 20 + ln 5 = 2 ln x

⇒ ln(20×5) = lnx²

⇒ ln100 = lnx²

Take anti logarithms on both sides,

⇒ 100 = x²

Taking the square root,

⇒ x = 10

Hence, the true solution is x = 10.

Learn more about the logarithmic properties here:

brainly.com/question/24211708

#SPJ6

Answer:

Only the first one should be check-marked.

Step-by-step explanation:

Answer:

vertex

Step-by-step explanation:

The answer is vertex because when two rays meet up, the point where they meet is the vertex. The vertex will always be the point of two lines. For example a triangle has three vertices because there are three places in which lines meet up.

Answer:

8x - 24 + 4x = 180

12x - 24 = 180

12x - 24 + 24 = 180 + 24

12x = 204

12x / 12 = 204 / 12

x = 17

∠NOP = 4(17)

= 68°

Step-by-step explanation:

Answer:

it might not be on the choice but i got 38.

Step-by-step explanation:

since MNOP is a cyclic quadrilateral it's opposite sides are complementary. so

8x-24+4x=90

12x-24=90

12x=90+24

12x=114  (divide both sides by 12)

x=9.5

since you asked for<NOP=4*9.5=38.

Answer:

Step-by-step explanation:

Assume that the cup is a cylinder of height 9 cm and radius 2.5 cm.

The side area is A = (circumference)(height), or A = 2πrh, which here is:

A = (3.14)(2)(2.5 cm)(9 cm) = 141.37 cm²

and

The area of the bottom is A = πr², or (here) A = (3.14)(2.5 cm)² = 19.63 cm²

Adding together the area of the sides and the area of the bottom, we get

Total area of cup = 141.37 cm² + 19.63 cm² = 161 cm²

Answer:

-92

Step-by-step explanation:

So the  way you find the discriminant is b^2 - 4ac

a = 4

b = 2

c = 6

4 - 96

-92

Answer:

=fx-gx

Step-by-step explanation:

Apply the distribute law

Remove Parentheses

Answer found

Answer: =fx-gx

Hope this helps.

Answer:

c. (-1, -8)

Step-by-step explanation:

[tex]y = 3x-5\\y = 2x-6\\\\3x - 5 = 2x - 6\\x = -1\\\\[/tex]

Put x in any of the two equations to get y,

y = -8

Answer:

the sample mean is never the same as population

Answer:

b

Step-by-step explanation:

Answer:

To be honest

Step-by-step explanation:

14

Answer:

We have the formula to get the amount of money after 5 years:

A = Principal x (1 + rate)^year

or

5200 + 2340 = 5200 x (1 + rate)^5

=> (1 + rate)^5 = (5200 + 2340)/5200 = 1.45

=> 1 + rate = 1.077

=> rate = 1.077 - 1 = 0.077 = 7.7%

Hope this helps!

:)

Answer:

9

Step-by-step explanation:

r= 100i/pt=

100× 2340/5200×5=9

Answer:

B.

Step-by-step explanation:

Make a ratio equation:

12 : 4.8 = 16 : x

[tex]\frac{12}{4.8} = \frac{16}{x}[/tex]

Cross multiply:

12x = 76.8

x = 6.4

Answer:

a=16 b =10 or any other combination that gives 160

a = 20 b=8

a = 32 b = 5

Step-by-step explanation:

The area of a triangle using the lengths of two sides and the sine of the included angle is ½ ab sin C  where a and b are sides and C is the angle.

A =40 = 1/2 ab sin 30°

sin 30° = 1/2 so

40 = 1/2*ab*1/2

40 =1/4 ab multiply each side by 4

160 = ab

any combination of sides that gives you 160 will work

Let's check if a=16 b =10

A = 1/2*16*10 sin 30°

A = 1/2*160*1/2

A = 40

Answer: