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Snezhnost [94]
2 years ago
6

a bird of species a when diving can travel four times as fast as a bird of species b top speed if the total speeds of these two

birds is 180 miles per hour find the fastest speed of the bird species a and the fastest speed of species B
Mathematics
1 answer:
weeeeeb [17]2 years ago
4 0
X will be the speed of species b and 4x will be the speed of species a:

x + 4x = 180
5x = 180
x = 180 / 5
x = 36 m/h

If species b has a speed of 36 m/h, the speed of species a is 4 times that:

4 x 36 = 144 m/h.


Answer:

\boxed {\bf A~=~36~m/h~and~B~=~144~m/h}


Hope it helped,

Happy homework/ study/ exam!
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Find the volume of the cone.
Ne4ueva [31]

Answer:

3142.86 cubic cm

Step-by-step explanation:

volume of cone is given by formula

volume of cone = 1/3(area of base*height)

Given radius of base = 10cm

we know area of circle is given by \pi  r^2 where r is radius of circle

thus area of base of cone is calculated below

\pi 10^2\\=> 22/7 *100\\=> 314.2857

area of base of cone is 314.2857 square cm

height = 30 cm

Thus volume of cone  = 1/3* (area of base*height)

                                   = 1/3(314.2857*30)

                                   = 1/3 *9428.571 = 3142.857.

Thus, volume of cone is 3142.857 cubic cm.

volume of cone  to the nearest hundredth is 3142.86 cubic cm

6 0
3 years ago
The point is plotted on the number line.What whole number best approximates the value of x?
sattari [20]

You can eliminate 81 because we know \sqrt{81} =9

The dot is on approximately 9.32 (my estimate) so I would square that number:

(9.32)² = 86.8624 so if you round this you get 87

6 0
3 years ago
Read 2 more answers
Help please And how would you get the answer need asap
Rashid [163]
No the 2 equations are not equal
the -1/10, -1/10 can't be subtracted from 1 3/10g
they are not like terms
the proper equation is
1/5g converts to 2/10g
2/10g - 1g + 1 3/10 g = 5/10g or 1/2g
1/2g - 2/10 is final equation
4 0
3 years ago
Unsure how to do this calculus, the book isn't explaining it well. Thanks
krok68 [10]

One way to capture the domain of integration is with the set

D = \left\{(x,y) \mid 0 \le x \le 1 \text{ and } -x \le y \le 0\right\}

Then we can write the double integral as the iterated integral

\displaystyle \iint_D \cos(y+x) \, dA = \int_0^1 \int_{-x}^0 \cos(y+x) \, dy \, dx

Compute the integral with respect to y.

\displaystyle \int_{-x}^0 \cos(y+x) \, dy = \sin(y+x)\bigg|_{y=-x}^{y=0} = \sin(0+x) - \sin(-x+x) = \sin(x)

Compute the remaining integral.

\displaystyle \int_0^1 \sin(x) \, dx = -\cos(x) \bigg|_{x=0}^{x=1} = -\cos(1) + \cos(0) = \boxed{1 - \cos(1)}

We could also swap the order of integration variables by writing

D = \left\{(x,y) \mid -1 \le y \le 0 \text{ and } -y \le x \le 1\right\}

and

\displaystyle \iint_D \cos(y+x) \, dA = \int_{-1}^0 \int_{-y}^1 \cos(y+x) \, dx\, dy

and this would have led to the same result.

\displaystyle \int_{-y}^1 \cos(y+x) \, dx = \sin(y+x)\bigg|_{x=-y}^{x=1} = \sin(y+1) - \sin(y-y) = \sin(y+1)

\displaystyle \int_{-1}^0 \sin(y+1) \, dy = -\cos(y+1)\bigg|_{y=-1}^{y=0} = -\cos(0+1) + \cos(-1+1) = 1 - \cos(1)

7 0
1 year ago
A camera has a listed price $627.98 before tax. If the sales tax rate is 7.25%, find the total cost of the camera and it's sales
Sedbober [7]
$627.98 + 7.25% = $637.50
5 0
2 years ago
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