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bezimeni [28]
3 years ago
12

Using the technique in the model above, find the missing sides in this 30°-60°-90° right triangle. Hypotenuse = 12 Short =

Mathematics
1 answer:
xeze [42]3 years ago
8 0

Answer:

Short leg = 6.

Step-by-step explanation:

Hypotenuse = 2x

short leg = x

long leg = x√3

Hypotenuse = 2x=12

x = 12/2

x=6

short leg = x = 6

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Two trains are traveling towards each other at a constant speed. The trains are currently 714 miles from each other. The speeds
shutvik [7]
55mph.

you can solve it using the equation distance=speed x time

your total distance is 714, and you have 2 trains, one traveling some speed, x, and one traveling x+8, both traveling for 7 hours. 
your equation would look like this
714 = x(7) + (x+8)(7)
and you can then solve for x, which would be 47. this is the speed of the slower train, but 47+8=55 with give you the speed of the faster train. 
6 0
3 years ago
38. What is the surface area of a conical grain storage tank that has a height of 62 meters and a diameter of 24 meters? Round t
svetoff [14.1K]
1. The surface area of a cone S is S= \pi  r^{2}+  \pi rl, where r is the radius of the base and l is the slant height.

2. The slant height l is found as follows:

l^{2}= OC^{2}+ OB^{2}
l^{2}= 12^{2}+ 62^{2}=144+3844=3988

l= \sqrt{3988}=63.15

3. 

A=\pi r^{2}+ \pi rl=3.14(12)^{2}+3.14*12*63.15

= 452.16+2379.492 =2831.652 ( m^{2} )

 = 452.16+2379.492 =2831.652 ( m^{2} )

4. The answer is C

8 0
2 years ago
Read 2 more answers
What is the exact value of tan 30° ? Enter your answer, as a simplified fraction, in the box.
Romashka [77]
Hmmm if you don't have a Unit Circle, this is a good time to get one, many you can find online.  Anyhow, check your unit circle for cos(30°) and sin(30°).

\bf tan(\theta)=\cfrac{sin(\theta)}{cos(\theta)}\qquad \qquad tan(30^o)=\cfrac{sin(30^o)}{cos(30^o)}
\\\\\\
tan(30^o)=\cfrac{\quad \frac{1}{2}\quad }{\frac{\sqrt{3}}{2}}\implies tan(30^o)=\cfrac{1}{2}\cdot \cfrac{2}{\sqrt{3}}\implies tan(30^o)=\cfrac{1}{\sqrt{3}}
\\\\\\
\stackrel{\textit{and now if we rationalize the denominator}}{\cfrac{1}{\sqrt{3}}\cdot \cfrac{\sqrt{3}}{\sqrt{3}}\implies \cfrac{\sqrt{3}}{(\sqrt{3})^2}\implies \cfrac{\sqrt{3}}{3}}
8 0
3 years ago
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Does anyone need help
daser333 [38]
Me please !!!!!! MEEE
7 0
2 years ago
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0.5s +1=7 + 4.5s<br> S =
kvv77 [185]

Answer:

s = -\frac{3}{2}

Step-by-step explanation:

Solve for the value of s :

0.5s + 1 = 7 + 4.5s

-Combine both 0.5s and 4.5s by subtracting 0.5s by 4.5s :

0.5s + 1 - 4.5s = 7 + 4.5s - 4.5s

-4s + 1 = 7

-Subtract 1 to both sides:

-4s + 1 - 1 = 7 - 1

-4s = 6

-Divide both sides by -4 :

\frac{-4s}{-4} = \frac{6}{-4}

s = -\frac{3}{2}

So, the value of s is -\frac{3}{2}.

3 0
3 years ago
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