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KIM [24]
3 years ago
9

The ratio of the length of two similar re rectangles is 3 ratio 4. what is the scale ratio of their areas in

Mathematics
1 answer:
Effectus [21]3 years ago
3 0

Answer:

9:16

Step-by-step explanation:

The ratio of sides of the lengths of rectangles is 3:4.

  • Now since the scale is constant. So the scale ratio of area will be square of the side ratio .

<u>T</u><u>hat </u><u>is </u><u>:</u><u>-</u><u> </u>

→ Ratio of Area = ( 3 : 4)²

→ Ratio of Area = (3/4)²

→ Ratio of Area = 9/16

→ Ratio of Area = 9:16

<h3>Hence the ratio of areas is 9:16 .</h3>
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Find the coordinates of each point after the described reflection. Give the distance between each point and its reflection.
AVprozaik [17]

Complete Question:

Find the coordinates of the point after the described reflection. Give the distance between the point and its reflection. R(-5, 8) is reflected across the x-axis _____________.

Answer:

(a) R' = (-5,-8)

(b) The distance is 16 units

Step-by-step explanation:

Given

R = (-5,8)

Solving (a): Reflection across x-axis

The rule is:

R(x,y) ==> R(x,-y)

So, the reflection of R = (-5,8) is:

R' = (-5,-8)

Solving (b): The distance between R and R'

Distance (d) is calculated as:

d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}

Where:

R = (-5,8) ---- (x_1,y_1)

R' = (-5,-8) --- (x_2,y_2)

This gives:

d = \sqrt{(-5- -5)^2 + (-8- 8)^2}

d = \sqrt{(0)^2 + (-16)^2}

d = \sqrt{256}

d = 16

<em>The distance is 16 units</em>

6 0
3 years ago
The radius of the base of a cylinder is 10 centimeters, and its height is 20 centimeters. A cone is used to fill the cylinder wi
Alex73 [517]
The answer will be 24 times.
3 0
3 years ago
Read 2 more answers
18 cajas de manzanas y peras fueron llevadas a la escuela. Las peras trajeron 210 kg en 6 cajas. ¿Cuántos kilos de manzanas fuer
Katyanochek1 [597]

Answer:

504 kilos de manzanas fueron llevados a la escuela.

Step-by-step explanation:

Sean x, y la cantidad de cajas de manzanas y peras, respectivamente. De acuerdo con el enunciado, tenemos el siguiente sistema de ecuaciones:

Total de cajas

x+y = 18 (1)

Masa de cada caja de peras

y\cdot m_{P} = 210 (2)

y = 6 (3)

Masa de caja de manzanas

m_{M} = m_{P}+7 (4)

De (2) en (3), tenemos que la masa de cada caja de peras es:

m_{P} = 35\,kg

Por (4), encontramos que la masa de cada caja de manzanas es:

m_{M} = 35\,kg+7\,kg

m_{M} = 42\,kg

Finalmente, de (1) tenemos la cantidad de cajas de manzana:

x = 18-y

x = 12

La cantidad de kilos de manzanas llevada a la escuela se obtiene al multiplicar la cantidad de cajas de manzana por la masa de cada caja:

M = (12)\cdot (42\,kg)

M = 504\,kg

504 kilos de manzanas fueron llevados a la escuela.

7 0
3 years ago
Y varies directly as x.if y=-5 when x =15find x when y=3
Tpy6a [65]
Y=kx
-5=k(15)
-5/15=k
-1/3=k
now,
y=-1/5x
3=-1/5x
3×5=-1(x)
15=-1(x)
multiplying both sides by -1,we get
-15=x
3 0
3 years ago
What is the sum of all integers between 19 and 77 squared rooted?
Alex Ar [27]
4<√19<5 
8<√77<9
so the quality numbers are 5,6,7,and 8
5+6+7+8=26 
so the answer is 26
4 0
3 years ago
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