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Marrrta [24]
3 years ago
9

I) 43x + 31y = 98 31x + 43y = 50

Mathematics
1 answer:
Neko [114]3 years ago
4 0

There are no solutions to the given system of equations.

Hope this helps.

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Let V be the volume of the solid obtained by rotating about the y-axis the region bounded y = 4x and y = x2/4 . Find V by slicin
aliya0001 [1]

Answer:

Step-by-step explanation:

Consider the graphs of the y = 4x  and  y = \frac{x^{2} }{4}.

By equating the expressions, the intersection points of the graphs can be found and in this way delimit the area that will rotate around the Y axis.

4x = \frac{x^{2} }{4} \\   x^{2}  = 16x \\ x^{2}  - 16x = 0 \\   x(x-16) = 0 then x=0  o  x=16. Therefore the integration limits are:

y = 4(0) = 0  and  y = 4(16) = 64

The inverse functions are given by:

x = 2 \sqrt{y}  and  x = \frac{y}{4}. Then

The volume of the solid of revolution is given by:

\int\limits^{64}_ {0} \, [2\sqrt{y} - \frac{y}{4}]^{2}  dy = \int\limits^{64}_ {0} \, [4y - y^{3/2} + \frac{y^{2}}{16} ]\  dy = [2y^{2} - \frac{2}{5}y^{5/2} + \frac{y^{3}}{48} ]\limits^{64}_ {0} = 546.133 u^{2}

6 0
3 years ago
Whice set of side will make a triangle
telo118 [61]

First things first.. What type of triangle

If u are taking about a normal triangle here is some:

∠60+∠60+∠60

∠30+∠90+∠60

∠11+∠82+∠87

7 0
3 years ago
the length of the shadow of a pole on level ground increases by 90m when the angle of elevation of the sun changes from 58 degre
Anarel [89]

Answer:

The height of the pole is 167 m

Step-by-step explanation:

The given parameters are;

Increase  in the length of the shadow = 90 m

Initial angle of elevation of the Sun = 58°

Final angle of elevation of the Sun = 36°

We have a triangle formed by the change in the length of the shadow and the rays from the two angle of elevation to the top of the pole giving an angle 22° opposite to the increase  in the length of the shadow  

We have by sin rule;

90/(sin (22°)  = (Initial ray from the top of the pole to the end of the shadow's length)/(sin(122°)

Let the initial ray from the top of the pole to the end of the shadow's length = l₁

90/(sin (22°)  = l₁/(sin(122°)

l₁ = 90/(sin (22°) ×(sin(122°) = 283.3 m

Therefore;

The height of the pole = 283.3 m × sin(36°) = 166.52 m

The height of the pole= 167 m to three significant figures.

3 0
3 years ago
Read 2 more answers
Can someone solve this for me please?
Snowcat [4.5K]

Answer:

Step-by-step explanation: to progress gradually and carefully from one stage to the nex

6 0
3 years ago
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Ten cupcakes cost 15$. How much does one cupcake cost?
slega [8]

Answer:

1.5$

Step-by-step explanation:

10 cupcakes =15$

so, 1 cupcake = 15/10

                          i.e. 1.5

.: 1cupcake cost = 1.5$

7 0
3 years ago
Read 2 more answers
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