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Montano1993 [528]
3 years ago
11

Find the value of x ​

Mathematics
1 answer:
maks197457 [2]3 years ago
6 0

Answer:

Step-by-step explanation:

∠S=180-(54+62)=180-116=64°

using sin formula

\frac{x}{sin~64} =\frac{7}{sin~62} \\x=\frac{7~sin~64}{sin~62} \approx 7.1256 \approx 7.13

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8 0
3 years ago
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Aleks04 [339]

Answer:

sqrt 3

Step-by-step explanation:

6 0
3 years ago
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
Mhanifa please help with this I find it super difficult! Thanks! I will mark brainliest! Random answers will be reported !
Artyom0805 [142]

Answer:

a)

The point that is equidistant to all sides of a triangle is called the <u>incenter</u>.

The incenter is located at the intersection of bisectors of the interior angles of a triangle.

b)

The point that is equidistant to all vertices of a triangle is called the <u>circumcenter</u>.  

The circumcenter is located at the intersection of perpendicular bisectors of the sides of a triangle.

c)

<em>See the attachment</em>

The blue lines and their intersection shows the incenter.

The red lines and their intersection shows the circumcenter.

As we see the red point- the <u>circumcenter </u>is closer to vertex B.

4 0
3 years ago
What is the value of 0.1322 rounded to the nearest hundredth place?
kifflom [539]

Answer:

Step-by-step explanation:

0.1322 ≅ 0.13

3 0
3 years ago
Read 2 more answers
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