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notsponge [240]

3 years ago

10

A container holds sugar shape of a cylinder that radius of the containers 3 inches in the height of the container is 10.5 inches

which measurement is closest to the volume of the container cubic inches

1 answer:

lyudmila [28]3 years ago

6 0

Answer:

94.5pie

Step-by-step explanation:

The area of a cylinder is r^2pie height

so if the Radius is 3 . . . 3^2 pie * 10.5 so

9*10.5pie

94.5 pie

Hope that helps!!!

-Shadyk

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Complete the identity.<br> 1) sec^4 x + sec^2 x tan^2 x - 2 tan^4 x = ?

Alecsey [184]

Answer:

See Explanation

Step-by-step explanation:

<em>Question like this are better answered if there are list of options; However, I'll simplify as far as the expression can be simplified</em>

Given

$sec^4 x + sec^2 x tan^2 x - 2 tan^4 x$

Required

Simplify

$(sec^2 x)^2 + sec^2 x tan^2 x - 2 (tan^2 x)^2$

Represent $sec^2x$ with a

Represent $tan^2x$ with b

The expression becomes

$a^2 + ab- 2 b^2$

Factorize

$a^2 + 2ab -ab- 2 b^2$

$a(a + 2b) -b(a+ 2 b)$

$(a -b) (a+ 2 b)$

Recall that

$a = sec^2x$

$b = tan^2x$

The expression $(a -b) (a+ 2 b)$ becomes

$(sec^2x -tan^2x) (sec^2x+ 2 tan^2x)$

..............................................................................................................................

In trigonometry

$sec^2x =1 +tan^2x$

Subtract $tan^2x$ from both sides

$sec^2x - tan^2x =1 +tan^2x - tan^2x$

$sec^2x - tan^2x =1$

..............................................................................................................................

Substitute 1 for $sec^2x - tan^2x$ in $(sec^2x -tan^2x) (sec^2x+ 2 tan^2x)$

$(1) (sec^2x+ 2 tan^2x)$

Open Bracket

$sec^2x+ 2 tan^2x$ ------------------This is an equivalence

$(secx)^2+ 2 (tanx)^2$

Solving further;

................................................................................................................................

In trigonometry

$secx = \frac{1}{cosx}$

$tanx = \frac{sinx}{cosx}$

Substitute the expressions for secx and tanx

................................................................................................................................

$(secx)^2+ 2 (tanx)^2$ becomes

$(\frac{1}{cosx})^2+ 2 (\frac{sinx}{cosx})^2$

Open bracket

$\frac{1}{cos^2x}+ 2 (\frac{sin^2x}{cos^2x})$

$\frac{1}{cos^2x}+ \frac{2sin^2x}{cos^2x}$

Add Fraction

$\frac{1 + 2sin^2x}{cos^2x}$ ------------------------ This is another equivalence

................................................................................................................................

In trigonometry

$sin^2x + cos^2x= 1$

Make $sin^2x$ the subject of formula

$sin^2x= 1 - cos^2x$

................................................................................................................................

Substitute the expressions for $1 - cos^2x$ for $sin^2x$

$\frac{1 + 2(1 - cos^2x)}{cos^2x}$

Open bracket

$\frac{1 + 2 - 2cos^2x}{cos^2x}$

$\frac{3 - 2cos^2x}{cos^2x}$ ---------------------- This is another equivalence

8 0

3 years ago

I am giving brainliest to who ever helps me with ALL the problems pls quick (:

Norma-Jean [14]

ok so I know I'm not giving the answer but if you look up (ma th way) you can get the answers for 1 and 2

5 0

3 years ago

58 ounces equals how many pounds and ounces

Digiron [165]

58 ounces equals 3.625 pounds.

58 ounces equals 58 ounces

5 0

4 years ago

Randy is starting a beehive so that he can have fresh honey. He decides to check the current population of bees in the hive by m

satela [25.4K]

Answer:

Best estimate for the bee population is 1280.

Step-by-step explanation:

Randy marked total number of bees = 160

Then he collected 240 bees and observed that number of bees marked

= 30

We have to find the total population of the bee or best estimate for the bee population.

Now we use the ratio of marked bees in the sample vs marked bees in the total population

$\frac{\text{Number of bees marked in the sample}}{\text{Total bees in the sample taken}}=\frac{\text{Number of bees marked in total population}}{\text{Number of bees in the hive}}$ $\frac{30}{240}=\frac{160}{x}$

x = $\frac{160\times 240}{30}=1280$

Therefore, the best estimate for the bee population is 1280.

6 0

3 years ago

Read 2 more answers

Pls help me its due today

azamat

Answer:

156

Step-by-step explanation:

These angles would equal each other so just set both equations equal to each other to find x:

x + 104 = 3x

Solve:

104 = 2x Subtract x from 3x

x = 52 Divide 2 from 104

Now that we have found x we can find the measurement of either angle. Let's start with the top:

52 + 104 = 156

Now lets do the bottom:

3(52) = 156

Both angles equal 156, so that means that is the answer!

Hope this helps!!

4 0

2 years ago