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RUDIKE [14]
3 years ago
8

Find the value of x to the nearest tenth

Mathematics
2 answers:
Salsk061 [2.6K]3 years ago
5 0

Answer:

x = 41.2

Step-by-step explanation:

Assuming the dotted line at the top is parallel to the segment with length x, it follows from the alternate interior angles theorem that the interior angle of the triangle (marked in diagram) is also 27º.

Using SOH-CAH-TOA, we get that tan(27º) = 21/x, so x = 21/tan(27º), which is approximately equal to 41.2.

NemiM [27]3 years ago
3 0
41.2 I think that is right
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An airplane flew 4 hours with a 25 mph tail wind. The return trip against the same wind took 5 hours. Find the speed of the airp
balu736 [363]

Answer:

r  = 225 Mil/h     speed of the airplane in still air

Step-by-step explanation:

Then:

d  is traveled distance   and r  the speed of the airplane in still air

so the first equation is for a 4 hours trip

as  d = v*t

d  =  4 *  ( r  + 25)    (1)          the speed of tail wind  (25 mil/h)

Second equation the trip back in 5 hours

d  =  5  * ( r  - 25 )    (2)

So we got a system of two equation and two unknown variables  d  and

r

We solve it by subtitution

from equation (1)     d  =  4r  + 100

plugging in equation 2

4r  + 100  = 5r -  125    ⇒   -r  =  -225     ⇒    r  = 225 Mil/h

And distance is :

d  =  4*r  +  100         ⇒ d  =  4 * ( 225)  +  100

d  =  900 +   100

d  = 1000 miles

6 0
3 years ago
The radius of a sphere is 11 cm.what is the surface area of the sphere? Round to the nearest tenth.
Vanyuwa [196]

Answer:

The answer is

<h2>1520.5 cm²</h2>

Step-by-step explanation:

Surface area of a sphere is given by

S = 4πr²

where r is the radius

From the question r = 11cm

So the surface area of the sphere is

4π(11)²

= 4(121)π

= 484π

= 1520.5308

Which is

1520.5 cm² to the nearest tenth

Hope this helps you

8 0
3 years ago
Solve using they law of exponents <br> x^2 x x^-5
pentagon [3]

Answer:

−103

Step-by-step explanation:

6 0
3 years ago
The graph of the equation x - y = 4
Sophie [7]
The answer should be A
5 0
3 years ago
Is the function f(x)=12x3 even or odd? Why?
Umnica [9.8K]

Answer:

even

Step-by-step explanation:

because if you put it into mx+b=c you get it as a even answer

3 0
4 years ago
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