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4 years ago

11

If the aorta (diameter of da) branches into two equal-sized arteries with a combined area equal to the aorta, what is the diamet

er of one of the branches?

1 answer:

kompoz [17]4 years ago

3 0

If each of the branches has half the area of the aorta, its linear scale factor is the square root of 1/2, or (√2)/2.

The diameter of one of the branches is (da×√2)/2.

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Xavier has x dollars. This morning Alex had twice as much money as Xavier. After Alex spent three dollars on chips, he only had

sweet [91]

Answer:

Xavier has 5 dollars

Step-by-step explanation:

2x represents how much money Alex had, the -3 is how much he spent, and the 7 is how much he has now

$2x-3=7$

Add 3 to both sides

$2x=10$

divide both sides by 2

$x=5$

Checking my work:

$2*5-3=7\\10-3=7\\7=7$

5 0

3 years ago

Suppose a publishing company estimates that its monthly cost is C(x) = 600{x^2} + 300xC(x)=600x 2 +300x and its monthly revenue

Leto [7]

Answer:

the answer is A,

P(x) = -0.4x³+100x²-900x+500

Step-by-step explanation:

monthly cost:

$c(x) = 600x {}^{2} + 300x$

monthly revenue:

$r(x) = - 0.4 {}^{3} + 700x {}^{2} - 600x + 500$

profit function:

$p(x) = r(x) - c(x)$

$p(x) = ( - 0.4x {}^{3} + 700 {x}^{2} - 600x + 500) - (600x {}^{2} + 300x)$

i) remove the first bracket

$p(x) = - 0.4x {}^{3} + 700x {}^{2} - 600x + 500 - (600 {x}^{2} + 300x)$

ii) there is a negative sign, '-' in front of the second bracket. so, change the sign of each term of the expression inside the bracket

$p(x) = - 0.4x {}^{3} + 700 {x}^{2} - 600x + 500 - 600x {}^{2} - 300x$

iii) collect like terms

$p(x) = - 0.4x {}^{3} + 700 {x}^{2} - 600 {x}^{2} - 600x - 300x + 500$

iv) simply the like terms

$p(x) = - 0. 4{x}^{3} + 100 {x}^{2} - 900x + 500$

6 0

3 years ago

Work out the value of the missing angle x

garik1379 [7]

Answer:

The value of the missing angle, x° is 115°

Step-by-step explanation:

The sum of the interior angles in a polygon is given by the formula (n - 2)×180, where, 'n', is the number of sides in the polygon

The number of sides in the given polygon, n = 10 sides

Therefore;

The sum of the interior angles in the polygon is (10 - 2)×180 = 1440°

The given angles of the polygon are;

107°, 126°, 325°, 125°, 95°, x°, 90°, 280°, 47°, and 130°

Therefore, we have;

107° + 126° + 325° + 125° + 95° + x° + 90° + 280° + 47° + 130° = 1440°

x° = 1440° - (107° + 126° + 325° + 125° + 95° + 90° + 280° + 47° + 130°) = 115°

The value of the missing angle, x° = 115°.

6 0

3 years ago

Somebody, Anybody please help

taurus [48]

The answer should be 390=60s, assuming s is the number of shelves he would need.

By the way, if you want the answer using this formula:
390=60s
390/60=s
6.5=s
s=6.5

8 0

3 years ago

Read 2 more answers

Estimate 18.50 x 2.6

marysya [2.9K]

Answer:

57

Step-by-step explanation:

18.5= 19

8 0

3 years ago

Read 2 more answers