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3 years ago

What is the Surface Area of this Prism?

Mathematics

1 answer:

larisa86 [58]3 years ago

5 0

Answer:

The lateral surface area of a prism is the sum of the areas of its lateral faces. The total surface area of a prism is the sum of the areas of its lateral faces and its two bases.

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In triangle $ABC,$ point $D$ is on $\overline{AC}$ such that $AD = 3CD = 12$. If $\angle ABC = \angle BDA = 90^\circ$, then what

Neporo4naja [7]

Answer:

$BD=4\sqrt{3}\ units$

Step-by-step explanation:

we know that

$AD=12\ units$

$3CD=12$ ----> $CD=4\ units$

see the attached figure to better understand the problem

Triangles ABD and BCD are similar by AA Similarity Theorem

Remember that

If two figures are similar, then the ratio of its corresponding sides is proportional

$\frac{BD}{AD}=\frac{CD}{BD}$

substitute the given values

$\frac{BD}{12}=\frac{4}{BD}$

$BD^2=48$

$BD=\sqrt{48}\ units$

simplify

$BD=4\sqrt{3}\ units$

8 0

3 years ago

R = 5k - 6<br>work out the value of R when k=3

viva [34]

Answer:

R=9

Step-by-step explanation:

In the equation, replace k with 3.

R=5(3)-6

Multiply.

R=15-6

Subtract

R=9

I hope this helps!

4 0

2 years ago

Read 2 more answers

Solve the equation for all real solutions.

horsena [70]

Can you reformat the question?

3 0

2 years ago

How many 14-1/4" long pieces can be cut from a 86' long piece of angle iron? Allow 1/8 waste for each cut

kkurt [141]

The number of pieces that we could have in 86' if were going to cut it by 14 1/4 long with 1/8 waste for each cut is 5.98 pieces. This is computed by converting first the fractions into decimal, 14.25 and 0.125, then add it together since there is a waste in every cut, 14.375. Then we will divide 86 inches by 14.375 inches.

6 0

3 years ago

The height and radius of a cone are each multiplied by 3. What effect does this have

Black_prince [1.1K]

The volume of the original cone is multiplied by 27

<h3><u>Solution:</u></h3>

We have been given that the height and radius of a cone are each multiplied by 3.

We need to find what effect it has on the volume of the cone.

<em><u>The volume of the original cone is given as follows:</u></em>

$\text {Volume of cone}=\frac{1}{3} \pi r^{2} h$

Now, the radius and height are multiplied by 3.

Therefore, the new radius is ‘3r’ and the new height is ‘3h’.

Hence the new volume is

$\text {Volume of new cone}=\frac{1}{3} \pi(3 r)^{2}(3 h)=9 \pi r^{2} h$

original volume of cone x 27 = volume of new cone

Therefore, the original volume of cone is multiplied by 27

8 0

2 years ago