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Mekhanik [1.2K]
3 years ago
9

if two similar rectangles have a scale factor of 5:2 and the area of the smaller rectangle is 45 cm^2, what will be the area of

the larger rectangle?
Mathematics
1 answer:
Semenov [28]3 years ago
8 0

Answer:

281.25 cm^2

Step-by-step explanation:

Given that,

The scale factor of Two similar triangles = 5:2

Area of the smaller rectangle = 45 cm^2

To find,

The Area of the larger rectangle = ?

Procedure:

As we know, similar triangles have similar ratios of sides. Thus, this can be written in proportion with the sides' ratio to the left while ratio of areas on the right.

(5)^2/(2)^2 = a/45

∵ The area of the larger rectangle = 25/4 * 45

= 281.25 cm^2

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Answer:

56,000 bees or 8,000 bees every day for 7 days

Step-by-step explanation:

16 ounces = a pound so 16,000 bees we need to know how many bees we need so we do 16,000 times 3 =48,000 bees but we go .5 left so we divide the 16,000 into 8,000 and add that to 48,000 to = 56,000 bees to produce 3.5 pounds of honey every week there are also 7 days in a week so you can do 56,000 divide by 7 to = 8,000 bees per day to get 3.5 pounds of honey

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5 0
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I am learning about estimating quotients using multiples. 188 divided by 5 =
Dmitriy789 [7]

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Step-by-step explanation:

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3 years ago
Amanda made $154 for 11 hours of work. At the same rate, how many hours would she have to work to make $252?
goldenfox [79]
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3 0
3 years ago
⎧
MrRissso [65]

Answer:

f(n)=-5-3n

Step-by-step explanation:

Given the recursive formula of a sequence

f(1)=−8

f(n)=f(n−1)−3

We are to determine an explicit formula for the sequence.

f(2)=f(2-1)-3

=f(1)-3

=-8-3

f(2)=-11

f(3)=f(3-1)-3

=f(2)-3

=-11-3

f(3)=-14

We write the first few terms of the sequence.

-8, -11, -14, ...

This is an arithmetic sequence where the:

First term, a= -8

Common difference, d=-11-(-8)=-11+8

d=-3

The nth term of an arithmetic sequence is determined using the formula:

T(n)=a+(n-1)d

Substituting the derived values, we have:

T(n)=-8-3(n-1)

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T(n)=-5-3n

Therefore, the explicit formula for f(n) can be written as:

f(n)=-5-3n

7 0
3 years ago
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