A rectangle made of square tiles measures 10 tiles long and 8 tiles wide.
What is the width of a similar rectangle whose length is 15 tiles?​

Answers

Answer 1

Answer:

12 tiles

Step-by-step explanation:

Let,

The rectangle with dimensions "10 tiles and 8 tiles" be known as "s".The rectangle with dimension "15 tiles" be known as "l"

Since the length of the larger rectangle is similar to the smaller rectangle, we can compare the dimensions of both rectangles by forming a ratio.

[tex]\text{(L of "s")}:\text{(B of "s")}= \text{(L of "l")}: \text{(B of "l")}[/tex]

Let,

⇒ Length of "s" be L₁⇒ Breadth of "s" be B₁⇒ Length of "l" be L₂⇒ Breadth of "l" be B₂

[tex]\implies \text{L}_{1} }:\text{B}_{1} = \text{L}_{2} : \text{B}_{2}[/tex]

We are already given:

Length of "s"     =   L₁   =   10 tilesBreadth of "s"   =   B₁   =   8 tilesLength of "L"    =   L₂   =   15 tiles

[tex]\implies 10:8 = 15 : \text{B}_{2}[/tex]

To simplify the ratio, multiply the extremes together and take them on one side. Then, multiply the middles together and take them on the other side.

[tex]\implies 10 (\text{B}_{2}) = 15(8)[/tex]

Divide 10 both sides to obtain the width of the larger rectangle.

[tex]\implies \dfrac{10 (\text{B}_{2}) }{10} = \dfrac{15(8)}{10}[/tex]

Simplify the equation as necessary.

[tex]\implies \text{B}_{2} = 12[/tex]

Thus, the width of the larger rectangle is 12 tiles.


Related Questions

which has a greater magnitude 17 ft above sea level or 11 ft

Answers

Answer:

1 - 52= 52 33= 33 52 > 33, so -52 dollars has the greater magnitude. 1 - 141 = 14 [23] = 23 14 < 23, so 23 feet has the greater magnitude.

Step-by-step explanation:

Hope This Helps

Which shapes show equivalent fractions?

A.shapes A and B
B.shapes A and D
C.shapes B and C
D.shapes A, B, and D

Answers

Answer:

B.shapes A and D

Step-by-step explanation:

Cuz if u see very carefully u will see they are cubes (except b) and A and D had one of its side's covered so the answer is simply A and D

A cylinder has a highet of 20cm and a volume of 1004.8cm. Calculate the radius of the base of the cylinder

Answers

Answer:

radius = 4 cm

Step-by-step explanation:

r≈4cm

Using the formula

V=πr2h

Solving forr

r=V

πh=1004.8

π·20≈3.99899cm

angle 1- what degree

Answers

Answer:

22 degrees

Step-by-step explanation:

The two bottom sides have the same angle which is 79 and all the angles must add up to 180, so 79 plus 79 is 158 and 180 minus 158 is 22.

Hope this helps.

BTW it's my birthday

Answer:

25°

Step-by-step explanation:

Exterior angle property of triangle:

Exterior angle of a triangle equals the sum of oppositer interior angles.

∠1 + 79 = 104

Subtract 79 from both sides

        ∠1 = 104 - 79

        ∠1 = 25°

Help picture below problem 13

Answers

Answer:

it's obtuse angle...

mark me brainliest

= Obtuse triangle

Explanation:

 (a triangle in which one of the interior angles measures more than 90° degrees.)

Allowing 20% discount on the marked price if a watch, the value of the watch will be Rs. 2376. If the VAT of 10% is added, find its marked price.

Ans: Rs. 2700​

Answers

original price be x

x-0.2x=23760.8x=2376x=2970

VAT 10%

So new price is 10% less

2970-0.10(2970)2970-297Rs 2673≈2700

The points (4,7) and (r. – 5) lie on a line with slope – 3. Find the missing coordinate r ​

Answers

Answer:

[tex]r=\frac{14}{3}[/tex]

Step-by-step explanation:

Set up an equation and solve for r using the formula for slope:

[tex]\frac{5-7}{r-4}=-3\\ \\-2=-3(r-4)\\\\-2=-3r+12\\\\-14=-3r\\\\\frac{14}{3}=r[/tex]

Tim’s weight was 320 pounds in 2010 and is 180 pounds in 2020. What is the slope?

Answers

Answer:

-14

Step-by-step explanation:

We have two points

(2010, 320)  and ( 2020, 180)

The slope is

m= ( y2-y1)/(x2-x1)

   = ( 180-320)/(2020-2010)

   = -140/10

   = -14 lbs/ year

If x²+ y²= 80 and xy = 12, find the value of (x - y)².​

Answers

[tex](x-y)^2\\\\=x^2+y^2 -2xy\\\\=80-2(12)\\\\=80-24\\\\=56[/tex]

We need to factorise (x−y) 2

We know the identity (a−b)2 =a2 −2ab+b2

Thus we have (x−y)2 =x2 −2xy+y2

Find nth term of the sequence: 11, 15, 19, 23​

Answers

The term

tn=a+(n−1)d

Where a= first term and d= common difference

hope it helps...!!!

Your answer should be 43!

MAX POINTS PLEASE HELP Will make Brainliest

What is the period and frequency of the function graphed and how would the equation be written

Answers

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

The required equation is :

[tex]\qquad \sf  \dashrightarrow \:a \cos(bx) + k[/tex]

Now, let's find the required values :

period (p) = 6

[distance between any successive Crest or trough]

a = - 4 (flipped)

b = 2π/p = 2π/6 = π/3

k = -2

Distance of starting position from origin = k

Now, plug in the values ~

[tex]\qquad \sf  \dashrightarrow \: - 4 \cos( \frac{ \pi}{3}x ) - 2[/tex]


A polynomial function has – 5+ 3t as a root. Which of the following must also be a root of the function?

Answers

a

Radical roots occur as conjugate pairs

Given - 5 + t is a root , then

- 5 - t is also a root → a

14,15,3,15,14,14,18,15,8 mean ,mode,median determine which measure of center best represenrs the data

Answers

Answer:

Mean: 12.9

Mode: 14,15

Median: 14

Step-by-step explanation:

f(x) = - 0.05(x ^ 2 - 26x - 120)

What do the zeros of this function represent? Remember the zeros are where f(x) =0.​

Answers

We are given function  for the path coming out of the cannon.

We also given x is the horizontal distance from the cannon.

We need to explain, what f(x) represents there.

f(x) represents y-axis.

And y-axis also represents height.

Height represents a vertical distance.

Therefore, we could say f(x) represents vertical distance (height) from the cannon for x horizontal distance from the cannon.

help me find Find m< G .

Answers

Answer:

∠G=110°

Step-by-step explanation:

The 4 interior angles of a kite add up to 360. 100+40=140. 360-140=220. E and G are the only angles left so we know together they must equal 220. And ∠E and ∠G are congruent angles beceause of kite rules. So, we divide by 2 to get how much angle E and G are individually.

22 mice were introduced to a new environment. Their population triples every year. Using m(t) as the function name and t for time, write this equation.​

Answers

Answer:

when were they introduced?

Step-by-step explanation:

How many minutes are in 3 hours?
There are 60 minutes in one hour.
Complete the table.

Answers

Answer:

180

Step-by-step explanation:

because there are 60 minutes in an hour and you need 3 you need to add 60 + 60 + 60 or your can do 60 x 3 which equals 180

Answer:

180 minutes

Step-by-step explanation:

1 hour - 60 minutes

2 hours - 120 minutes

3 hours - 180 minutes

Because there is 60 minutes in an hour, you can do 60 x 3 = 180. This will directly tell us how many minutes are in 3 hours. Or, you can add 60 minutes 3 times for 3 hours.

So, 60 x 3 = 180. There are 180 minutes in 3 hours.

27 + x = 42 what is the value of x

Answers

Answer: x = 15

Step-by-step explanation:

Given:

27 + x = 42

Subtract 27 from both sides of the equation:

x = 15

27 + x = 42

Subtract 27 from both sides:

X = 15

A ball is thrown from an initial height of 3 feet with an initial upward velocity of 44 ft/s. The ball's height h (in feet) after seconds is given by the following.
h = 3+44t-16t^2

Find all values of t which the balls height is 23 feet.

Answers

Answer:

See below ↓↓

Step-by-step explanation:

Given function

h = 3 + 44t - 16t²

We need to calculate the possible values of t at h = 23 feet.

Subsituting h = 23,

23 = 3 + 44t - 16t²16t² - 44t + 20 = 0Divide throughout by 4 as it is a common factor4t² - 11t + 5 = 0

Solving for 't' using quadratic formula

t = 11 ± √121 - 4(4)(5) / 8t = 11 ± √41 / 8

Solutions

t = 11 + 6.4 / 8 = 17.4/8 = 2.175 secondst = 11 - 6.4 / 8 = 4.6/8 = 0.575 seconds

Answer:

t = 2.175 s (3 dp)

t = 0.575 s (3 dp)

Step-by-step explanation:

Given equation: [tex]h=3+44t-16t^2[/tex]

To find all values of t for which the ball's height is 23 ft, substitute h = 20 into the equation and solve for t:

[tex]\implies h=23[/tex]

[tex]\implies 3+44t-16t^2=23[/tex]

[tex]\implies 16t^2-44t-3+23=0[/tex]

[tex]\implies 16t^2-44t+20=0[/tex]

Factor out common term 4:

[tex]\implies 4(4t^2-11t+5)=0[/tex]

Divide both sides by 4:

[tex]\implies 4t^2-11t+5=0[/tex]

Quadratic formula

[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when}\:ax^2+bx+c=0[/tex]

Use the quadratic formula to solve for t:

[tex]\implies t=\dfrac{-(-11) \pm \sqrt{(-11)^2-4(4)(5)} }{2(4)}[/tex]

[tex]\implies t=\dfrac{11 \pm \sqrt{41}}{8}[/tex]

Therefore,

t = 2.175 s (3 dp)t = 0.575 s (3 dp)

A haircut cost $16 which included tax. Joan tipped 20% and paid with a $50 bill. What was her change?

Answers

Answer:

32

Step-by-step explanation:

Answer: 30.8

Explanation: 20% of 16 is 3.2

16 + 3.2 = 19.2

50 - 19.2 = 30.8

I might be wrong but that's the answer I got

20 points. A certain event may occur, but it is unlikely to occur.

Which statement about the probability of the event is true?


A. The probability is close to 0.

B. The probability is 0.

C. The probability is 1.

D. The probability is less than 0.

Answers

Answer:

A

Step-by-step explanation:

Close to 0 means there isn't a certain number, and there also isn't a certain answer for what the probability. While all of the others are alreaady stated, this is the only one that is not.

Question 1 – A two-mass (pulley) system begins in the initial configuration shown in the figure. Once this system is allowed to
move, the cart will move to the right and the suspended mass will fall with the same (magnitude of) acceleration. Determine this
acceleration, A, of this system, and the force in the cable, F, accurate to 3 sig. dig.
Assume the pulley and cable has no mass.

Answers

Answer:

the suspended mass will fall with the same (magnitude of) acceleration. Determine this

accelerat

Step-by-step explanation:

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Ok I see it

Angle MKP is 95° because
120-25= 95
And it’s obtuse because 95 is greater than 90

Hope this helps :)

Jon mixed 3 cups of pineapple juice with 5 cups of
mango juice to make fruit punch.
Complete the equation below to represent the
relationship between the number of cups of
pineapple juice, p, and the number of cups of mango
juice, m.
p=

Answers

Answer:

p = 5/3m

Step-by-step explanation:

The Ratio of Pineapple juice to mango juice is 3:5. Since you can substitute the variable in, and they have already supplied part of the equation, you can set this equation up:

3p = 5m

divide both sides by 4

p = 5/3m

This tells us that for every cup of Pineapple juice, there is 5/3 cup of mango juice.

Hope this helps!

Brainiest always helps me out :)

A social security number contains nine digits, such as 224-10-7135. How many different social security numbers can be formed?​

Answers

Answer:

420 million

Step-by-step explanation:

There are up to 420 million numbers that were assinged.

How many solutions does the equation (20 - 12x) = 5 - 3x have?

Answers

Answer:

x=5/3

Step-by-step explanation:

there is only 1

Write an equation of the line in slope-intercept form.
y=

Answers

Answer:

The equation of the line in slope intercept form is y=1/3x+2

Step-by-step explanation:

i need help 100 points for a question

Answers

Answer:

34.28 ft

Step-by-step explanation:

Find the length of semicircle

C = πd, circumference of circleC/2 = πd/2 = 3.14*4/2 = 6.28 ft

Find the perimeter

P = 4 + 6.28 + 2*12 = 34.28 ft

For rectangle

L=12B=4

Perimeter:-

2(L+B)2(12+4)2(16)32ft

For semicircle:-

radius=r=4/2=2ft

Perimeter:-

πr2π6.28ft

Total:-

6.28+32-438.28-434.28ft

Find the area of the right triangle

Answers

Answer:

Formula for area of a triangle;

A = BH x 1/2

B = The base

H = The height

1/2 = Half of the product of (base x height)

We first need to figure out the base of this triangle, so count the units across from the base of this triangle.

The base is 4 units.

Now we need to find out the height, so count the units above starting from the base of this triangle and to the end of this triangle.

The height is 7 units.

Now plug these values into our equation:-

A = BH x 1/2

A = 4(7) x 1/2

A = 28 x 1/2

A = 28/2

A = 14, the area of this right triangle is 14 square units.

Giving brainliest! need this question rlly soon thank you so much :)

Answers

u add BD which is 8, and AD with is 12 and BC=20
The answer is BC= 20
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