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3 years ago

Brainliest + 20 Points!

Mathematics

1 answer:

aliina [53]3 years ago

7 0

Answer:

The perimeter of one face of the smaller cube compared to the perimeter of one face of the larger cube is $\frac{2}{5}$

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and this ratio is called the scale factor

and

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

Let

z-----> the scale factor

x-----> the perimeter of the smaller cube

y ----> the perimeter of the larger cube

$z=\frac{x}{y}$

in this problem we have

$z=\frac{2}{5}$ ----> scale factor

substitute

$\frac{x}{y}=\frac{2}{5}$

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A car travels at a constant speed 65 mph how far would it travel in 4 hours

Alina [70]

It would travel 65 times 4 = 260 miles

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3 years ago

Person A can paint the neighbor's house 6 times as fast as Person B. The year A and B worked together it

uranmaximum [27]

Person A takes 2.3 days to paint the house working alone

Person B takes 13.8 days to paint the house working alone

<em><u>Solution:</u></em>

Let "x" be the number of days it takes person A to paint the house

Person A can paint the neighbor's house 6 times as fast as Person B

Therefore.

Number of days it takes person B to paint the house = 6x

Their rates of painting are added to get the rate working together

$\frac{\text{1 house}}{\text{x days}} + \frac{\text{1 house}}{\text{6x days}} = \frac{\text{1 house}}{\text{2 days}}$

$\frac{1}{x} + \frac{1}{6x} = \frac{1}{2}\\\\\frac{1 \times 6}{6x} + \frac{1}{6x} = \frac{1}{2}\\\\\frac{7}{6x} = \frac{1}{2}\\\\\ x = \frac{7}{3}= 2.3$

Thus person A takes 2.3 days to paint the house working alone

Person B = 2x = 6(2.3) = 13.8

Thus person B takes 13.8 days to paint the house working alone

3 0

2 years ago

A camera store developed 2100 rolls of film in one month. Customers wanted double prints from 1500 of these rolls. What is the r

Vera_Pavlovna [14]

Answer:

the answer is 5:7

Step-by-step explanation:

as a fraction, the ratio looks like this:

1500/2100

where 1500 is the number of rolls with double prints and 2100 is the amount of rolls developed.

if you simplify the fraction, you get 5/7.

5/7 is 5:7 written as a ratio in this problem.

hope this helped!!

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2 years ago

When given a function in standard form,how can you determine if the parabola has aminimum or maximum value

andrezito [222]

Answer:

It can be determined if a quadratic function given in standard form has a minimum or maximum value from the sign of the coefficient "a" of the function. A positive value of "a" indicates the presence of a minimum point while a negative value of "a" indicates the presence of a maximum point

Step-by-step explanation:

The function that describes a parabola is a quadratic function

The standard form of a quadratic function is given as follows;

f(x) = a·(x - h)² + k, where "a" ≠ 0

When the value of part of the function a·x² after expansion is responsible for the curved shape of the function and the sign of the constant "a", determines weather the the curve opens up or is "u-shaped" or opens down or is "n-shaped"

When "a" is negative, the parabola downwards, thereby having a n-shape and therefore it has a maximum point (maximum value of the y-coordinate) at the top of the curve

When "a" is positive, the parabola opens upwards having a "u-shape" and therefore, has a minimum point (minimum value of the y-coordinate) at the top of the curve.

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3 years ago

Car A travels 180 miles in 7 hours. Car B travels 350 miles in 4 hours. Car C travels 584 miles in 15 hours. Which car has the f

GalinKa [24]

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5 0

3 years ago