Here is how to get the Surface Area of a triangular prism.
First you must find their areas first then multiply it by 2 (because it has 2 faces) except for the base, since it has a triangular base.
A = bxh/2   A = 15 m x 30 m A = 30 m x 18 m
   = (18 m x 12 m )/2 = 450 m^2 = 540 m^2
   = 216 m ^2/2
   = 108 m^2
Add all the faces:
SA = 2 (108 m^2) + 2 (540 m^2 ) + <span> 450 m^2
= 216 m^2 +1080 m^2 + </span><span>450 m^2
= 1,746 m^2
The answer is not found in your choices. The attached picture is also showing m (meter) as the unit used not cm.....so I guess you got the wrong choices.</span>

5 0

3 years ago

What is the value of y? Enter your answer in the box. y = An isosceles triangle with vertices labeled A, B, and C. Side B C is t

masha68 [24]

Answer:

$y = 5$

Step-by-step explanation:

Given:

An isosceles triangle ABC with AB = AC.

∠A = $(4y+10)\°$

∠B = $75\°$

∠C = $(3x)\°$

We know that, for an isosceles triangle, the angles opposite equal sides are also equal to each other.

Therefore, ∠B = ∠C

⇒ $75 = 3x$

⇒ $x=\frac{75}{3}=25$

∴ ∠C = $3\times 25=75$ °

Now, the sum of all the interior angles of a triangle is always 180°.

$\angle A + \angle B + \angle C=180\\(4y+10)+75+75=180\\4y+10+150=180\\4y+160=180\\4y=180-160\\4y=20\\y=\frac{20}{4}=5$

Therefore, the value of 'y' is 5.

5 0

3 years ago

The life of a manufacturer's compact fluorescent light bulbs is normal, with mean 12,000 hours and standard deviation 2,000 hour

ikadub [295]

Mean = 12000
Standard Deviation = 2000

We have to find how many standard deviations is 14,500 away from the mean.
This can be achieved by calculating the z-score

Z-score tells us how many standard deviations above or below is a sample value from the mean. A positive z value shows, sample value is above the mean.

z score can be calculated as = (Sample Value - Mean )/Standard Deviation)
So,
Z-score = $\frac{14500-12000}{2000} =1.25$

This means, 14,500 is 1.25 standard deviations above the mean value 12,000.

4 0

3 years ago

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