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3 years ago

9

the volume of an isosceles right angled triangular prism is 1000 cm3 . If the length of the prism is 20 cm ,find (i) its lateral

surface area and total surface area

1 answer:

Musya8 [376]3 years ago

3 0

Answer:

It's 682.8cm^2

tell me if I'm right

Hope this helps

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If (-1,4) and (3,-2) are end points of diameter of the circle, then the equation of the circle is

Volgvan

Answer:

If you've more doubts you can ask :)

Step-by-step explanation:

If the centre of a circle is (a, b) and radius r, then the equation of the circle is :

$(x - x)^2 + (y-b)^2 = r^2$

<em><u>First we will find the centre, (a , b): </u></em>

<em><u /></em> $a = \frac{3+(-1)}{2} = \frac{2}{2} = 1\\\\b = \frac{-2 + 4}{2} = \frac{2}{2} = 1$ <em><u /></em>

<em><u>Find radius:</u></em>

$Radius, r = \frac{Diameter}{2}$

Diameter is the distance between (-1, 4) and (3, -2)

$diameter = \sqrt{(x_2 - x_1)^2 +(y_2-y_1)^2} \\\\$

$= \sqrt{(3-(-1)^2 + (-2-4)^2} \\\\=\sqrt{16 + 36}\\\\=\sqrt{52}\\\\=\sqrt{4 \times 13}\\\\=2\sqrt{13} \ units$

Therefore , $r = \frac{2 \times \sqrt{13} }{2} = \sqrt{13} \ units$

<em><u>Equation of the circle is : </u></em>

$(x - 1)^2 +(y-1)^2 = 13$ <em><u></u></em>

4 0

3 years ago

What is the value for y?<br><br> Enter your answer in the box.<br><br> y=

Elodia [21]

Answer:

y = 14

Step-by-step explanation:

Since AC = BC then the triangle is isosceles and the base angles are congruent, that is

∠A = ∠B = 50°, thus

∠C = 180 - (50 + 50) ← sum of angles in Δ = 180°

= 180 - 100 = 80°, hence

5y + 10 = 80 ( subtract 10 from both sides )

5y = 70 ( divide both sides by 5 )

y = 14

7 0

3 years ago

Pls can u help me this is due now T-T

Artist 52 [7]

Answer:

SOLUTION: X=5

Step-by-step explanation:

x=5

y=27

vertical input= (0, 1/9)

Hope that helps!

5 0

3 years ago

Suppose a furniture manufacturer ships their products to distributors in pairs (so there are two items sent in each box). The we

Allushta [10]

Your answer is.............B. Negative.

3 0

3 years ago

Joe can cut and split a cord of firewood in 3 fewer hours than Dwight can. When they work together, it takes them 2 hours. How

aalyn [17]

Answer:

Dwight will take 6 hours to finish the job alone and Joe will take 3 hours to finish the job alone.

Step-by-step explanation:

Let us assume the time taken by Dwight to split a cord of firewood = K hrs

So, the per hour rate of Dwight = $(\frac{1}{K})$

As, Joe uses 3 LESS hours then Dwight.

So, the time taken by Joe to split a cord of firewood = (K- 3) hrs

So, the per hour rate of Joe = $(\frac{1}{K-3})$

Now, when both of them wok together, it takes them 2 hours.

So, the per hour rate of BOTH of them = $(\frac{1}{2})$

⇒ Per hour rate of ( Dwight + Joe) = $(\frac{1}{2} )$

$\implies (\frac{1}{K}) + (\frac{1}{K-3}) = (\frac{1}{2})$

Now, solving for the value of K , we get:

$(\frac{1}{K}) + (\frac{1}{K-3}) = (\frac{1}{2})\\\implies \frac{(K-3) + K}{K (K-3)} = (\frac{1}{2})\\\implies 2(2K -3) = K^2 - 3K\\\implies k^2 - 3K -4K +6 = 0\\\implies K^2 - 7K + 6= 0\\\implies K^2 - 6K - K + 6= 0\\\implies K(K-6) -1(K - 6)= 0\\\implies (K-6)(K-1) = 0$

Implies either K = 6 Or K = 1

But if K = 1, (K-3) = 1- 3 = -2 hours would be A CONTRADICTION.

⇒ K = 6 hours

Hence, Dwight will take 6 hours to finish the job alone and Joe will take (k-3) = (6-3) = 3 hours to finish the job alone.

8 0

3 years ago