At 4:00 am the outside temperature was 28*F. By 4:00 pm that same day it rose to 38 degrees.

What's the surface area ratio & the volume ratio??<br><br> please help me ASAP!!

Ulleksa [173]

Answer:

Step-by-step explanation:

Volumes of two spheres A and B = 648 cm³ and 1029 cm³

Things to remember:

1). Scale factor of two objects = $\frac{r_1}{r_2}$ [ $r_1$ and $r_2$ are the radii of two circles]

2). Area scale factor = $\frac{(r_1)^2}{(r_2)^2}$

3). Volume scale factor = $\frac{(r_1)^3}{(r_2)^3}$

Volume scale factor Or Volume ratio = $\frac{V_A}{V_B}$

$\frac{(r_1)^3}{(r_2)^3}= \frac{648}{1029}$

$\frac{r_1}{r_2}=\sqrt[3]{\frac{648}{1029} }$

$\frac{r_1}{r_2}=\frac{6(\sqrt[3]{3})}{7(\sqrt[3]{3})}$

$\frac{r_1}{r_2}=\frac{6}{7}$

Therefore, scale factor = $\frac{r_1}{r_2}=\frac{6}{7}$

≈ 6 : 7

Area scale factor Or area ratio = $(\frac{r_1}{r_2})^2=(\frac{6}{7})^2$

= $\frac{36}{49}$

≈ 36 : 49

Volume scale factor or Volume ratio = $\frac{648}{1029}$

= $\frac{216}{343}$

≈ 216 : 343

4 0

2 years ago

Convert -√3-i to polar form.

Jlenok [28]

Answer:

-sqrt(3) -i = 2 cis (7pi/6)

Step-by-step explanation:

-sqrt(3) -i

We can find the radius

r = sqrt( (-sqrt(3)) ^2 + (-1) ^2)

= sqrt( 3 + 1)

= sqrt(4)

= 2

theta = arctan (y/x)

arctan (-1/-sqrt(3))

arctan (1/sqrt(3))

theta = pi/6

But this is in the first quadrant, and we need it in the third quadrant

Add pi to move it to the third quadrant

theta = pi/6 + 6pi/6

=7pi/6

-sqrt(3) -i = 2 cis (7pi/6)

6 0

3 years ago

Read 2 more answers

Help me please please

aniked [119]

Answer:

The total least sale amount is $5,000,000

Step-by-step explanation:

Given as :

The base salary amount of Carmen = $125,000

The commission percentage on total sale = 4%

The performance bonus amount = $25,000

The total compensation amount last year = $350,000

Let The total sale amount = $x

According to question

Total compensation amount last year = base salary amount + percentage on total sale + performance bonus amount

I.e $350,000 = $125,000 + 4% of x + $25,000

Or, $350,000 = $150,000 + 4% of x

Or, 4% of x = $350,000 - $150,000

Or, 4% of x = $200,000

Or, × x = $200,000

Or, x =

∴ x = $5,000,000

So, The total sale amount = x = $5,000,000

Hence, The total least sale amount is $5,000,000 Answer

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

2x^3+5x^2-10 if x=-2

avanturin [10]

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

Let's evaluate :

${2x}^{3} + 5x {}^{2} - 10$

$2( - 2) {}^{ 3} + 5( - 2) {}^{2} - 10$

$(2 \times - 8) + (5 \times 4) - 10$

$- 16 + 20 - 10$

$- 26 + 20$

$- 6$

6 0

2 years ago

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Pleasee help me! I've been struggling forever.

snow_tiger [21]

The function is f(x) = - √(-x).

And you need to analyze the domain and the range of the function.

Here it is the analysis and conclusion:

1) The domain of the graph is the set of x-values for which the function is defined, that is - x ≥ 0 => x ≤ 0 => all real numbers less than or equal to zero.

2) The range of the grpah is the set 0 images (or y-values) feasible. As you see on the graph that is y ≤ 0 => all real numbers less than or equal to zero.

3) Conclusion: the only statement that meet those facts is the third one: the range and the domain of the graph are the same.

Answer: the correct statement is the fourth one: the range and the domain of the graph are the same.

3 0

3 years ago