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3 years ago

Round 2,165.413 to the nearest hundredth.

Mathematics

1 answer:

stira [4]3 years ago

4 0

2,200.413 is 2,165.413 to its nearest hundredth.

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Helllllppp please asap

BartSMP [9]

Answer:

1). a = 9.42 m

2). b = 6.37 m

3). c = 4.48 m

Step-by-step explanation:

In the figure attached,

By applying tangent rule in triangle ADE,

tan47 = $\frac{h}{c}$

c = $\frac{h}{\text{tan}47}$

c = $\frac{4.8}{\text{tan}47}$

c = 4.476

c ≈ 4.48 m

Now we apply the same rule in triangle ACE,

tan37° = $\frac{h}{b}$

b = $\frac{h}{\text{tan}37}$

b = $\frac{4.8}{1.0724}$

b = 6.37 m

Now apply the tangent in triangle ABE,

tan27° = $\frac{h}{a}$

a = $\frac{h}{\text{tan}27}$

a = $\frac{4.8}{0.5095}$

a = 9.42 m

5 0

3 years ago

Evaluate the line integral, where c is the given curve. (x + 9y) dx + x2 dy, c c consists of line segments from (0, 0) to (9, 1)

viktelen [127]

$\displaystyle\int_C(x+9y)\,\mathrm dx+x^2\,\mathrm dy=\int_C\langle x+9y,x^2\rangle\cdot\underbrace{\langle\mathrm dx,\mathrm dy\rangle}_{\mathrm d\mathbf r}$

The first line segment can be parameterized by $\mathbf r_1(t)=\langle0,0\rangle(1-t)+\langle9,1\rangle t=\langle9t,t\rangle$ with $0\le t\le1$ . Denote this first segment by $C_1$ . Then

$\displaystyle\int_{C_1}\langle x+9y,x^2\rangle\cdot\mathbf dr_1=\int_{t=0}^{t=1}\langle9t+9t,81t^2\rangle\cdot\langle9,1\rangle\,\mathrm dt$
$=\displaystyle\int_0^1(162t+81t^2)\,\mathrm dt$
$=108$

The second line segment ( $C_2$ ) can be described by $\mathbf r_2(t)=\langle9,1\rangle(1-t)+\langle10,0\rangle t=\langle9+t,1-t\rangle$ , again with $0\le t\le1$ . Then

$\displaystyle\int_{C_2}\langle x+9y,x^2\rangle\cdot\mathrm d\mathbf r_2=\int_{t=0}^{t=1}\langle9+t+9-9t,(9+t)^2\rangle\cdot\langle1,-1\rangle\,\mathrm dt$
$=\displaystyle\int_0^1(18-8t-(9+t)^2)\,\mathrm dt$
$=-\dfrac{229}3$

Finally,

$\displaystyle\int_C(x+9y)\,\mathrm dx+x^2\,\mathrm dy=108-\dfrac{229}3=\dfrac{95}3$

5 0

3 years ago

In 2015 the population of 895 quail increases at an annual rate of 3.5%. In writing an

spayn [35]

Answer:

y=895•1.07^x Y is the population of quails and X is the amount of years that have passed.

Step-by-step explanation:

hope this helps

7 0

3 years ago

Write the ordered pair for a point that is 9 units to the left of the origin and lies on the x-axis.

natulia [17]