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Andrews [41]
3 years ago
7

Find the volume of the composite solid. Write your answer as a decimal.

Mathematics
2 answers:
uysha [10]3 years ago
8 0
I hope this helped, have a nice day

Bond [772]3 years ago
5 0

Answer:

Step-by-step explanation:

340.4 cubic inches (correct)

Approx. answer is 341.53 cubic inches (used to check work)

Step-by-step explanation:

Find volume of triangular prism

find area of base of triangular pyramid

multiply by 7

divide by 3

add to area of prism

64.4 plus 277.13 equals 341.53

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Evaluate tan ( cos^-1 ( 1/8 ) ) , giving your answer as an exact value (no decimals)
vekshin1

\bf cos^{-1}\left( \cfrac{1}{8} \right)=\theta \qquad \qquad cos(\theta )=\cfrac{\stackrel{adjacent}{1}}{\stackrel{hypotenuse}{8}}\impliedby \textit{let's find the \underline{opposite}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \pm\sqrt{8^2-1^1}=b\implies \pm\sqrt{63}=b ~\hfill tan(\theta )=\cfrac{\stackrel{opposite}{\pm\sqrt{63}}}{\stackrel{adjacent}{1}} \\\\\\ ~\hspace{34em}


\bf \stackrel{\textit{keeping in mind that}}{tan\left(cos^{-1}\left( \frac{1}{8} \right) \right)}\implies tan(\theta )

5 0
3 years ago
5. Determine the value of every variable in the rhombus below.
Zina [86]

Answer:

m = 160

p = 90

w = 10

z = 80

y = 10

Step-by-step explanation:

7 0
2 years ago
Calculate the number of subsets and the number of proper subsets for the set.
arlik [135]

A set of n elements has 2ⁿ subsets. One of these subsets is the set itself, so this set would have 2ⁿ - 1 <em>proper</em> subsets.

The given set has 4 elements, so it has 2⁴ = 16 subsets and 2⁴ - 1 = 15 proper subsets.

Just to illustrate the claim, we have

• subsets of size 0 (1 of these):

{ } (empty set)

• subsets of size 1 (4 of these):

{1/6}, {1/7}, {1/8}, {1/9}

• subsets of size 2 (6 of these):

{1/6, 1/7}, {1/6, 1/8}, {1/6, 1/9}, {1/7, 1/8}, {1/7, 1/9}, {1/8, 1/9}

• subsets of size 3 (4 of these):

{1/6, 1/7, 1/8}, {1/6, 1/7, 1/9}, {1/6, 1/8, 1/9}, {1/7, 1/8, 1/9}

• subsets of size 4 (1 of these):

{1/6, 1/7, 1/8, 1/9}

and the last one is the only subset that is not a proper subset, because that subset = the set.

6 0
2 years ago
Plzlzzlzlzlzl help mememememe
sweet [91]

Answer:

1/2z=3/4

z=3/4 x 2

z=3/2

6 0
3 years ago
Help plsssss!!!!!!!!!!!!!
lapo4ka [179]

Answer:

Percent, Part, whole, I am not sure the rest hope this helped though

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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