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RSB [31]
3 years ago
6

A picture has an area of 35cm and is 7cm long.An enlargement of the picture is made which is 21cm long.Find the area of the enla

rgement​
Mathematics
2 answers:
Gre4nikov [31]3 years ago
7 0

Answer:

increase by a factor of 3

Step-by-step explanation:

First you have to find the width,

35/7=5cm

Since the length had been increased to 21cm, we need to find the larger area,

21*5=105cm^2

now we just need to find how much has the area increased compare to the original area,

105/35=3

Andrej [43]3 years ago
5 0

Answer:

315 cm²

Step-by-step explanation:

Given the scale factor of 2 similar figures is a : b , then

ratio of areas = a² : b²

Here the scale factor = 7 : 21 = 1 : 3 , thus

ratio of areas = 1² : 3² = 1 : 9

That is the area of the enlargement is 9 times the original, so

area of enlargement = 35 × 9 = 315 cm²

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Ksju [112]

Answer:

14 minutes below or 6 minutes above

Step-by-step explanation:

Let's say Sophia's time was 10 minutes WORSE

4 minutes below average- 10 minutes= 14 minutes below average

Let's say Sophia's time was ten minutes BETTER

4 minutes below average + 10 minutes= 6 minutes above average.

Hope this helps!

5 0
4 years ago
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To which subset of real numbers does the number 1/5 belong?
nasty-shy [4]

Answer: Option 'B' and 'C' are correct.

Step-by-step explanation:

Since we know that irrational numbers are those real number which cannot be written in \frac{p}{q} form.

Rational numbers are those real numbers which can be written in \frac{p}{q} form.

Inverse property of multiplication is that property in which we write a number in reciprocal form .

Whole numbers starts from 0 and Natural numbers start from 1 and Integers contain both positive and negative numbers.

Hence, \frac{1}{5} belongs to rational numbers sets and inverse property of multiplication sets.

Therefore, Option 'B' and 'C' are correct.


5 0
3 years ago
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How do I use substitution to solve
nekit [7.7K]
<span>The method of solving "by substitution" works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other. Then you back-solve for the first variable.</span>
4 0
3 years ago
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The number of salmon swimming upstream to spawn is approximated by the following function:
umka2103 [35]

Answer:

The water temperature that produces the maximum number of salmon swimming upstream is approximately 12.305 degrees Celsius.

Step-by-step explanation:

Let S(x) = -x^{3}+2\cdot x^{2}+405\cdot x +4965, for 6 \leq x \leq 20. x represents the temperature of the water, measured in degrees Celsius, and S is the number of salmon swimming upstream to spawn, dimensionless.

We compute the first and second derivatives of the function:

S'(x) = -3\cdot x^{2}+4\cdot x +405 (Eq. 1)

S''(x) = -6\cdot x +4 (Eq. 2)

Then we equalize (Eq. 1) to zero and solve for x:

-3\cdot x^{2}+4\cdot x +405 = 0

And all roots are found by Quadratic Formula:

x_{1} \approx 12.305\,^{\circ}C, x_{2}\approx -10.971\,^{\circ}C

Only the first root is inside the given interval of the function. Hence, the correct answer is:

x \approx 12.305\,^{\circ}C

Now we evaluate the second derivative at given result. That is:

S''(12.305) = -6\cdot (12.305)+4

S''(12.305) = -69.83

According to the Second Derivative Test, a negative value means that critical value leads to a maximum. In consequence, the water temperature that produces the maximum number of salmon swimming upstream is approximately 12.305 degrees Celsius.

5 0
3 years ago
Please help or i am grounded
Dahasolnce [82]

Answer:

x=140

Step-by-step explanation:

Do not get grounded.

An angle at a point is 360°.

So, x+120+70+30=360

x+220=360

x=140

3 0
3 years ago
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