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11 months ago

At birth, the ratio of a baby's head length to the length of the rest of its body is

Mathematics

1 answer:

postnew [5]11 months ago

8 0

I would love to help but I don't know I'm so sorry

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Solve for the proportion (type integer or simplified fraction)

ale4655 [162]

Answer:

b = $\frac{7}{5}$ = 1.4

Step-by-step explanation:

$\frac{2b - 3 }{5}$ = $\frac{b - 2}{15}$

15(2b - 3) = 5(b - 2)

30b - 45 = 5b - 10

25b = 35

5b = 7

b =  $\frac{7}{5}$  = 1.4

Check the answer:

$\frac{2(1.4)-3}{5}$ = $\frac{1.4-2}{15}$

- $\frac{0.2}{5}$ = - $\frac{0.6}{15}$

- 0.04 = - 0.04

7 0

2 years ago

Find the equation of the curve that passes through the point (x, y) = (0, 0) and has an arc length on the interval x is between

Pavel [41]

Answer:

$\displaystyle y=\sin(x),\text{ where } 0\leq x\leq\pi/4$

Step-by-step explanation:

The curve passes through the point (x, y) = (0, 0) and has an arc length on the interval [0, π/4] given by the integral:

$\displaystyle \int_{0}^{\pi/4}\sqrt{1+\cos^2(x)}\, dx$

And we want to find the equation of the curve.

Recall that arc length is given by:

$\displaystyle L=\int_a^b\sqrt{1+\Big(\frac{dy}{dx}\Big)^2}\, dx$

Rewrite our original integral:

$\displaystyle \int_{0}^{\pi/4}\sqrt{1+(\cos(x))^2}\, dx$

So:

$\displaystyle \frac{dy}{dx}=\cos(x)$

It follows that:

$\displaystyle y=\sin(x)+C$

Using the initial condition:

$0=\sin(0)+C\Rightarrow 0=0+C\Rightarrow C=0$

The equation for our curve is:

$\displaystyle y=\sin(x),\text{ where } 0\leq x\leq\pi/4$

3 0

2 years ago

What is 3 + 7 -90+180

Mice21 [21]

Answer:

100

Step-by-step explanation:

3+7=10

-90+180=90

10+90=100

6 0

2 years ago

Find the measure of the central angle (xº).

Alexxandr [17]

360 degrees hope this helps

3 0

2 years ago

The volume of the pyramid shown in the figure is cubic centimeters. If the slant height of the pyramid increases by 4 centimeter

jenyasd209 [6]

I believe that your asking for two answers. The volume of the pyramid is 15 cubic centimeters and If the slant increases by 4 centimeters and its hheight increases by 2 centimeters the volume increases by 6 centimeters because the answer would be 21. 21-15=6. Formula to get the volume of a pyramid is V=1/3*(L*W)*H. I could be wrong.

3 0

2 years ago

Read 3 more answers