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Gnom [1K]
3 years ago
6

A rectangle has an area of 72 in². The length and the width of the rectangle are changed by a scale factor of 3.5. What is the a

rea of the new rectangle? Enter your answer in the box.
Mathematics
2 answers:
gogolik [260]3 years ago
8 0
3.5 squared. 12.25 times more would be the answer.
vova2212 [387]3 years ago
3 0

Answer:

Area of the rectangle(A) is given by:

A =lw

where, l is the length and w is the width of the rectangle.

As per the statement:

A rectangle has an area of 72 in²

⇒A = 72 in²

then;

lw = 72

It is given that:

The length and the width of the rectangle are changed by a scale factor of 3.5.

Length of new rectangle become = 3.5l

Width of new rectangle become = 3.5 w

then;

Area of new rectangle  = (Length of new rectangle)(Width of new rectangle)

⇒Area of new rectangle = (3.5l)(3.5w) =12.25(lw)

Substitute the given values we have;

\text{Area of new rectangle} = 12.25 \cdot 72 = 882 in^2

Therefore, the area of the new rectangle is, 882 in²

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attashe74 [19]

..no lo sé, pero como necesito puntos, ¿sí?

6 0
2 years ago
For the data shown in the scatter plot, which is the best estimate of r? -0.95, -0.55, 0.55, 0.95
Liula [17]
From the data shown in the scater plots, the points are scattered apart which means that r is not close to 1.

Also the data points increase to the right which means that r is positive.

Therefore, the estimate for r in the data shown in the scatter plot is 0.55
6 0
3 years ago
Bianca had a weekly allowance of $8.50 two years ago. Last year, her weekly allowance was $9.75. This year, Bianca's weekly allo
Natasha_Volkova [10]

Answer:

No

Step-by-step explanation:

In this particular scenario, based on the numbers I would say that it does not make sense to represent this with a constant rate. That is because in a span of three years the change between each year is completely different, for example, between the first and second year there was a change of

9.75 - 8.50 = 1.25 dollar change

1.25 / 8.50 = 0.147 or a 14.7% increase

Between the second and third year, there was a change of

12 - 9.75 = 2.25 dollar change

2.25 / 9.75 = 0.23 or 23% increase

Therefore, each year the percent and dollar value increase is increasing more and more which would not be a constant rate.

3 0
3 years ago
SOLVE x^4 − 15x^2 − 16 = 0 <br> What are the roots of the equation?
kakasveta [241]

Answer:

roots : 4, -4, i, -i

Step-by-step explanation:

This gets a bit tricky.

We have to substitude x^2 as u in this problem.

Now to rewrite x^4 − 15x^2 − 16 = 0 with u, we get

u^2 - 15u - 16 = 0

( u - 16) (u + 1)

U = 16

U = -1

<em>This is not the end of the problem. </em>

Now we have to substitute x^2 back to u.

x^2 = 16  --> we get the roots 4 and -4

x^2 = -1 --> we get the roots i and -i

tadah!

8 0
2 years ago
How would I get the two equations into point intercept form?
prisoha [69]
Identify the slope, m. This can be done by calculating the slope between two known points of the line using the slope formula.
Find the y-intercept. This can be done by substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula and then solve for b.
5 0
3 years ago
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