Surface area of the rectangular prism is 52 square inches. What is the volume

Find f. A) 7.4 B) 8.2 C) 10.5 D) 11.1

tatyana61 [14]

F=72

g=6

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$\cos { \left( F \right) } =\frac { { e }^{ 2 }+{ g }^{ 2 }-{ f }^{ 2 } }{ 2eg }$

Therefore:

$\cos { \left( 72 \right) } =\frac { { e }^{ 2 }+{ 6 }^{ 2 }-{ f }^{ 2 } }{ 2\cdot e\cdot 6 } \\ \\ \cos { \left( 72 \right) } =\frac { { e }^{ 2 }+36-{ f }^{ 2 } }{ 12e }$

$\\ \\ 12e\cdot \cos { \left( 72 \right) } ={ e }^{ 2 }+36-{ f }^{ 2 }\\ \\ \therefore \quad { f }^{ 2 }={ e }^{ 2 }-12e\cdot \cos { \left( 72 \right) } +36\\ \\ \therefore \quad f=\sqrt { { e }^{ 2 }-12e\cdot \cos { \left( 72 \right) +36 } } \\ \\ \therefore \quad f=\sqrt { e\left( e-12\cos { \left( 72 \right) } \right) +36 }$

But what is e?

E=76

G=32

g=6

And:

$\frac { e }{ \sin { \left( E \right) } } =\frac { g }{ \sin { \left( G \right) } }$

Which means that:

$\frac { e }{ \sin { \left( 76 \right) } } =\frac { 6 }{ \sin { \left( 32 \right) } } \\ \\ \therefore \quad e=\frac { 6\cdot \sin { \left( 76 \right) } }{ \sin { \left( 32 \right) } }$

If you take this value into account, you will discover that f is...

$f=\sqrt { \frac { 6\cdot \sin { \left( 76 \right) } }{ \sin { \left( 32 \right) } } \left( \frac { 6\cdot \sin { \left( 76 \right) } }{ \sin { \left( 32 \right) } } -12\cos { \left( 72 \right) } \right) +36 } \\ \\ \therefore \quad f=10.8\quad \left( 1\quad d.p \right)$

So I would have to say that the answer is approximately (c).

6 0

3 years ago

Please help, answer and show me the work. Thanks also solve for x

vova2212 [387]

3. x+100 = 90 alternate interior angles are equal

subtract 100 from each side

x+100 - 100 = 90-100

x = -10

4. 17x+1 = 120 alternate exterior angles are equal

subtract 1 from each side

17x+ 1 -1 = 120 -1

17x = 119

divide each side by 17

17x/17 = 119

x =7

4 0

3 years ago

X+9=2x-3 FIND THE X!!!!!!

Ierofanga [76]

Answer:

x = 12

Step-by-step explanation:

To find "x", we need to isolate it. This means move "x" to the left side, and everything else to the right side.

When moving a number, do its reverse operation to the entire equation.

x + 9 = 2x - 3

x - 2x + 9 = 2x - 2x - 3 Subtract 2x from both sides

-x + 9 = -3

-x + 9 - 9 = -3 - 9 Subtract 9 from both sides

-x = -12

-x/-1 = -12/-1 Divide both sides by -1 to get rid of the negatives

x = 12 Final answer

Check your answer. Split the equation for the left and right sides. Substitute "x" for the answer "12".

LS: (left side)

x + 9

= 12 + 9 Add

= 21

RS: (right side)

2x - 3

= 2(12) - 3 Multiply before subtracting

= 24 - 3 Subtract

= 21

Both sides equal to 21 when "x" is 12.

LS = RS left side equals right side

Therefore the answer is correct.

3 0

3 years ago

Rashida owns a bike rental company.

BartSMP [9]

So, our starting point, at zero hours, you already owe ten dollars.
So far you know it is +10.
Now, you multiply for by however many hours you have rented the bike for.
So the equation is:
4x+10.
x= # of hours bike is rented for.
Hope this helps! Have a happy holiday!

7 0

3 years ago

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A TV programme begins at 7:45 p.m. and ends 50 minutes later At what time does it finish?

inna [77]

Answer:

Step-by-step explanation:

An hour later (60 minutes) from 7:45 p.m. is 8:45 p.m.

Subtract 10 minutes from 8:45 p.m. to get 8:35 p.m., which is 50 minutes from 7:45 p.m.

I hope this helps! I would really appreciate it if you would please mark me brainliest! Have a blessed day!

6 0

3 years ago

Read 2 more answers