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3 years ago

Two similiar rectangles have corresponding sides in the ratio 10:3. What is the ratio of their areas

Mathematics

1 answer:

lianna [129]3 years ago

7 0

Answer:

Step-by-step explanation:

The ratio of its areas is equal to

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

In this problem the scale factor is equal to the ratio 10:3

Let

z-------> the scale factor

z2=(10/3)2=100/9

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If g(x)=2(x-4), find the value of x if g(x)=20

kherson [118]

Answer:

3) 14

Step-by-step explanation:

in the given equation replace the "g(x)" with the provided "20"

20=2(x-4) solve as usual

divide each side by 2

10=x-4

add 4 to each side

14=x

the value of x is 14

3 0

3 years ago

Last Sunday, the average temperature was 8%, percent higher than the average temperature two Sundays ago. The average temperatur

MArishka [77]

Answer: 1.08T and (1+8/100)T

Step-by-step explanation:

Given: The average temperature two Sundays ago was T degrees Celsius.

Since, last Sunday, the average temperature was 8% higher than the average temperature two Sundays ago.

⇒ The average temperature last Sunday $=8\%\ of\ T+T$

Since 8%=0.08

Therefore, The average temperature last Sunday $=\frac{8}{100}\timesT+T$

⇒ The average temperature last Sunday $=T(\frac{8}{100}+1)$

⇒ The average temperature last Sunday $=T(0.08+1)$

⇒ The average temperature last Sunday $=T(1.08)$

Thus, the right option is 1.08T and (1+8/100)T.

4 0

3 years ago

The height of a triangle is 8 centimeters greater than half its base. The area of the triangle is 48 square centimeters what is

emmainna [20.7K]

Answer:

base = 8 cm

height = 12 cm

Step-by-step explanation:

We will need the formula for area of a trianlge, which is

A = (1/2)bh where b is the base, and h is the height

We are given two formulas...

"The height of a triangle is 8 centimeters greater than half its base" becomes

h = (1/2)b + 8

"The area of the triangle is 48 square centimeters" becomes

48 = (1/2)bh

Plug the first formula into the second to solve for h

48 = (1/2)b[(1/2) + 8] (h becomes (1/2)b + 8)

Now solve for b

48 = (1/4)b² + 4b

**This is a quadratic euquation. Solve using factoring...

(1/4)b² + 4b - 48 = 0 (subtract 48 from both sides)

b² + 16b - 192 = 0 (multiply by 4 so b² is by itself, it's easier to factor this way)

Now factor...

(b + 24)(b - 8) = 0 (you need two numbers that add to 16 and multiply to -192)

Set each binomial equal to zero and solve for b

b + 24 = 0

b = -24

**this anwser is not valid because b is a length, and you can't have negative length

b - 8 = 0

b = 8

Since the other solution is invalid, the base is b

If the base is b, then the height is...

h = (1/2)b + 8

h = (1/2)(8) + 8

h = 4 + 8

h = 12

8 0

4 years ago

What is 5,267 rounded to the nearest ten?

Soloha48 [4]

Answer:

2,270

Step-by-step explanation:

If you look at the last two numbers, then you can see that the closest ten to 67 is 70.

8 0

3 years ago

Read 2 more answers

Saul makes green paint by mixing blue paint and yellow paint.

Mamont248 [21]

Answer:

12 gallons of yellow paint

4 gallons of blue paint

Step-by-step explanation:

saul’s paint ratio is 3b to 1y which makes 4ounces of paint total (3b+1y=4)

So if you want 16 gallons of paint total using the same ratio of colors then you need to figure out how many of the recipe you will need to put in by dividing

16/4=4 so 4 times the original recipe

Now multiply the original paint numbers by 4 since you will do the ratio 4 times

3y*4= 12 gallons of yellow paint and

1b*4= 4 gallons of blue paint

Hope this helps! :)

5 0

2 years ago