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KIM [24]
3 years ago
14

Can Someone please help me with this please please please

Mathematics
1 answer:
jasenka [17]3 years ago
4 0

Answer:

About 5.5, but it is technically closer to 5.6 so I am not entirely sure

Step-by-step explanation:

Since EB and DC are parallel, triangles ABE and ACD are similar by AA. Therefore:

\dfrac{x}{10}=\dfrac{10}{18} \\\\\\x=10\cdot \dfrac{10}{18}\approx 5.5

Hope this helps!

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Gravel is being dumped from a conveyor belt at a rate of 40 ft3/min. It forms a pile in the shape of a right circular cone whose
Norma-Jean [14]

Answer:

\frac{dh}{dt}=\frac{160}{169\pi }  ft/min

Step-by-step explanation:

This is a classic related rates problem.  Gotta love calculus!

Start out with the formula for the volume of a cone, which is

V=\frac{1}{3}\pi r^2h

and with what we know, which is \frac{dV}{dt}=40

and the fact that the diameter = height (we will come back to that in a bit).

We need to find \frac{dh}{dt} when h = 13

The thing we need to notice now is that there is no information given to us that involves the radius.  It does, however, give us a height.  We need to replace the r with something in terms of h.  Let's work on that first.

We know that d = h.  Because d = 2r, we can say that 2r = h, and solving for r gives us that r=\frac{h}{2}.

Now we can rewrite the formula with that replacement:

V=\frac{1}{3}\pi  (\frac{h}{2})^2h

Simplify that all the way down to

V=\frac{1}{12}\pi  h^3

The derivative of that function with respect to time is

\frac{dV}{dt}=\frac{1}{12}\pi(3h^2)\frac{dh}{dt}

Filling in what we have gives us this:

40=\frac{1}{12}\pi (3)(13)^2\frac{dh}{dt}

Solve that for the rate of change of the height:

\frac{dh}{dt}=\frac{160}{169\pi } \frac{ft}{min}

or in decimal form:

\frac{dh}{dt}=.95\pi  \frac{ft}{min}

8 0
3 years ago
In ΔABC, ∠B measures 35° and the values of a and b are 19 and 11, respectively. Find the remaining measurements of the triangle,
Anna35 [415]

Answer:

a)  ∠A = 82.2° , ∠C = 62.8° , c =   17.01

Step-by-step explanation:

<u><em>Explanation</em></u>:-

<u><em>Step(i)</em></u>:-

Given data ∠B measures 35° and the values of a and b are 19 and 11

∠B = 35° and sides a = 19 and b = 11

<em>By using sine rule </em>

<em></em>\frac{a}{sin A} = \frac{b}{sin B} = \frac{c}{Sin C}  = 2 R<em></em>

now we will use

\frac{a}{sin A} = \frac{b}{sin B}

\frac{19}{sin A} = \frac{11}{sin 35}

cross multiplication , we get

\frac{19 X sin 35}{11} = sinA

<em>sin A = 0.990</em>

<em>A = sin⁻¹( 0.990) = 82.2°</em>

<em> ∠A = 82.2°</em>

<u><em>Step(ii):-</em></u>

we know that ∠A +∠B +∠C = 180°

                         ∠C = 180° - ∠A -∠B

                          ∠C = 180° -82.2°-35°

                          ∠C = 62.8°

<u><em>Step(iii)</em></u>:-

<em>we will use formula</em>

<em></em>\frac{b}{sin B} = \frac{c}{Sin C}<em></em>

<em></em>\frac{11}{sin 35} = \frac{c}{Sin 62.8}<em></em>

\frac{11 X sin (62.8)}{sin 35} = C

<em>c =   17.01</em>

<u><em>Final answer</em></u>:-

<em> ∠A = 82.2° , ∠C = 62.8° , c =   17.01</em>

                         

4 0
3 years ago
Madison is baking party favors she wants to make enough favor so each guest gets the same number of favors she knows there will
iris [78.8K]

Answer:

It would be 24

Step-by-step explanation:

6: 6, 12, 18, 24

8: 8, 16, 24

The least common number is 24, so she should make at least 24.

4 0
3 years ago
Please I need help in a rush
baherus [9]

Answer:

i think the answer is 392= 49/Q

3 0
3 years ago
PLS HELP ME ASAP WITH NUMBER 37
Reil [10]
A) The equations are shown on the attached graph.
x = juice box cost
y = water bottle cost

B) Kara's proposed solution satisfies the first equation, but not the second one.

C) The solution is shown on the attached graph.

____
As a bonus, you get a graph for the other problem you posted. Please note this graph has some issues. Wherever there's a solid line ⌝ or ⌞ the actual shape of the graph should be the opposite one of these.

5 0
3 years ago
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