Find the total area of the prism in ( _+_√_ )

Mathematics

1 answer:

Bond [772]4 years ago

4 0

First find the hypotenuse of the right triangle bases.
a^2 + b^2 = c^2
4^2 + 6^2 = c^2
16 + 36 = c^2
52 = c^2
2√13 = c

Triangle bases:
A = (1/2) * b * h * 2
A = (1/2) * 4 * 6 * 2
A = 24 ft^2

Front Rectangle: Left side Rectangle Back Side Rectangle
A = 8 * 2√13 = 16√13 ft^2 A = 4 * 4 = 32 ft^2 A = 6 * 8 = 48 ft^2

24 + 32 + 48 + 16√13 = Total area = 104 + 16√13 ft^2

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Find the measure of arc DB in P please hurry if you can

jeyben [28]

$\quad \huge \quad \quad \boxed{ \tt \:Answer }$

$\qquad \tt \rightarrow \:m\overbrace{DB}= 90 \degree$

____________________________________

$\large \tt Solution \: :$

$\qquad \tt \rightarrow \: m \overbrace{DB} + m \overbrace{TB} = 180 \degree$

[ linear pair ]

$\qquad \tt \rightarrow \: m \overbrace{DB} + 90 \degree = 180 \degree$

$\qquad \tt \rightarrow \: m \overbrace{DB} = 180 \degree - 90 \degree$

$\qquad \tt \rightarrow \: m \overbrace{DB} = 90 \degree$

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2 years ago

Lucy rolls 2 fair dice and adds the results from each.

stellarik [79]

Answer:

The probability is 7/36

Step-by-step explanation:

In this question, we are tasked with calculating the probability that when we roll two fair dice, the sum of two numbers on both dies equal to 5.

Before we go on answering the question, we need to know the number of elements in our sample space. What this means is that we need to know the number of results we can have. The total number of results we can have is 6 * 6 = 36

Now, the next thing to know is how many of our results would yield a multiple of 5 each. Now let’s look at the attachment for the tabular representation we have.

Now, looking at our table, we can see that we have 7 circled results where we have a possibility of a multiple of 5.

The probability is thus the number of these additions divided by the total number of outputs= 7/36