Find the lateral area of the following cone.
Leave your answer in terms of pi

Answer:

<Q= 15/36=0.42

<R= 36/15=2.4

Step-by-step explanation:

When doing trig you have to remember, "SOH CAH TOA"

Since you're looking for the tangent for angles Q  and R, it would be the opposite over adjacent which is what "TOA" stands for. So, opposite of Q is 15 and adjacent to Q is 36, so you get 15/36. Opposite of R is 36 and adjacent is 15 so you get 36/15.

Answer:

[tex]\boxed{x=8y^2-16y-68}[/tex]

Step-by-step explanation:

Hello, please consider the following.

[tex]x=8(y- 1)^2-76\\\\x=8(y^2-2y+1)-76\\\\x=8y^2-16y+8-76\\\\\boxed{x=8y^2-16y-68}[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

[tex]\huge\boxed{x = 6 , y = -2}[/tex]

Step-by-step explanation:

[tex]\sf \frac{1}{2} x - 3y = 9-----------(1)\\5x + y = 28 ----------(2)[/tex]

Taking equation (1)

[tex]\sf \frac{1}{2} x -3 y=9[/tex]

Multiplying both sides by 2

[tex]\sf x-6y = 18[/tex]

Adding 6y to both sides

[tex]\sf x = 18+6y[/tex]

Putting this in (2)

5(18+6y) + y = 28

5(18+6y) + y = 28

90 + 30y+y = 28

31y+90-28 = 0

31 y + 62 = 0

31y = -62

Dividing both sides by 31

y = -2

Now,

x = 18 + 6y

x = 18+6(-2)

x = 18-12

x = 6

Answer:

196π or 615.75 m^3 to the nearest hundredth.

Step-by-step explanation:

This is a cone, so:

Volume = 1/3 π r^2 h

= 1/3  * π * 14^2 * 3

= 196π m^3.

Step-by-step explanation:

ydudhdhdjjdbdjdmdjdkdjd

Answer:

Step-by-step explanation:

We need the two numbers to tell us where the point is on the coordinate plane. The first number tells us where it is on the x-axis, and the second number tells us where it is on the y-axis. The very middle of the coordinate plane is the point (0, 0)

Based on this the answer is horizontol plane and x coordinate

Answer: C is your answer.

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

(9 + x)/(20 + x) = 0.75

Solve that for x, the number of additional free throws taken.

9 + x = 15 + 0.75 x

0.25 x = 6

x=24

The required number of additional shots that were shot is 24.

Given that,
He had made only 9 of 20 shots. By the end of the season, he had made all the additional shots he had taken, thereby ending with a season record of 3:4.

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Here,
Let the extra shots be x,
Now, according to the question,
Number of shots will be 9 + x and 20 + x,
And their ratio is 3:4
9 + x / 20 + x = 3 / 4
[9 + x] × 4 = 3 [20 + x]
36 + 4x = 60 + 3x
x = 60 - 36
x = 24

Thus, the required number of additional shots that were shot is 24.

Learn more about Ratio here:

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Answer: You started at (-3, 4)

Step-by-step explanation:

If you started at (-3, 4) and moved down 3 units, you would be at (-6, 4). If you moved back up 3 units, you would be at your original starting point (-3, 4).

Answer:

Step-by-step explanation:

All motion here is up and down, so the x-coordinate does not change.

Work backwards to answer this question:

(-3, 4), and down three units, and then up three, puts you where you started, at (-3, 4).

Answer:

The 2nd number in the sequence is [tex]2\left(\frac{100}{12}\right)+2[/tex]

Step-by-step explanation:

Let the six even numbers be 2x,2x+2,2x+4,2x+6,2x+8,2x+10

We are given that The sum of 6 even integers is 130.

So,2x+2x+2+2x+4+2x+6+2x+8+2x+10=130

12x+30=130

12x=100

[tex]x=\frac{100}{12}[/tex]

So,the 2nd number in the sequence is [tex]2\left(\frac{100}{12}\right)+2[/tex]

Answer:

Yes it really does mean cup.

Step-by-step explanation:

This can only contian 1 jar

12.5 cups are equal to 100 ounces

if there are 100 oz in that little jar then only 1 large jar can be filled by a lttile jar.

Answer:

Step-by-step explanation:

All inscribed angles intercepting the same arc have the same measure.

If you slide the vertex of angle y clockwise around the circle until it coincides with the vertex of the angle marked 65°, you see that those two inscribed angles (y and 65°) intercept the same arc, so have the same measure:

  y = 65°.

The measure of an inscribed angle is half the measure of the intercepted arc, so the arc marked x is double the angle 65°.

  x = 130°.

Answer:

[tex]\boxed{392in^2}[/tex]

Step-by-step explanation:

Hey there!

Well to find SA we need to find the area of the rectangles.

So lets do the top rectangle,

6*6 = 36

Now lets do the the left rectangle,

10*6 = 60

Now lets do the far right one,

6*4 = 24

Now lets do the second highest rectangle,

4*6 = 24

Now lets do the rectangle facing the right side,

6*6 = 36

Now we can do the bottom rectangle,

6*10 = 60

Now lets do the 2 facing front and back,

6*10 = 60

4*4 = 16

60+16 = 76

76*2 = 152

Now we can add everything,

152 + 60 + 36 + 24 + 24 + 60 + 36

= 392 in^2

Hope this helps :)

Answer:

A B A C C are the correct answers~_~

Step-by-step explanation:

Answer:

10.5

Step-by-step explanation:

Answer:

Answer and Explanation:

The Journal entry is shown below:-

1. Income Tax Expense Dr, $336 million  

Deferred Tax Assets Dr, $29 million

($116 million  × 25%)

         To Income Tax Payable $365 million

($1,460 × 25%)

(Being income tax and deferred tax is recorded)

2. Income Tax Expense Dr, $400 million

         To Income Tax Payable  $340  million

($1,360 × 25%)

         To Deferred Tax Assets $60 million

(($354.0 million - $116 million)  × 25%)

(Being income tax and deferred tax is recorded)

Step-by-step explanation:

Answer:

x  =  4

Step-by-step explanation:

Find 8 on the y-axis.  Draw a horizontal line through y =8.  Determine the x value for which the graph intersects this horizontal line y = 8.  It is x = 4

The value of x when f(x) = 8 according to the graph is; 4.

According to the graph;

We must plot a line of the equation; y = 8.

Ultimately, the x coordinates of this point is 4 and hence, the value of x when f(x) = 8 is 4.

Read more;

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Answer:

A. 30 degrees

Step-by-step explanation:

Set the two angles equal to each other:

3x-15 = 45-x

Solve for x:

4x -15 = 45

4x = 60

x = 15

Finally, plug in the x to one of the equations (preferably 45 - x since it's easier to solve) and solve for x.

45 - 15 = 30

Answer:

A 30 degrees

Step-by-step explanation:

Answer:

[tex]\frac{(s^8t^4)}{r^{12}}[/tex]

Step-by-step explanation:

Assuming that you tried to write:

[tex](r^{-3} s^2 t)^4,[/tex]

we can multiply the 4 on the outside of the parenthesis to all the terms. Multiplying, we get

[tex](r^{-12}s^8t^4)[/tex]

Because you don't want any negative powers in the top, we can move it down to get:

[tex]\frac{(s^8t^4)}{r^{12}}[/tex]

Answer:

there is no sign in between the two terms in the parenthese, maybe a google search on the properties of exponents would help because that's what this seems like

Step-by-step explanation:

Answer:

x = 16

Step-by-step explanation:

3x - 10 = 2(x+3)

First step is solve this:

2(x+3) = 2*x + 2*3 = 2x + 6

then:

3x - 10 = 2x + 6

3x - 2x = 6 + 10

x = 16

Check:

3*16 - 10 = 2(16+3)

48 - 10 = 2*19 = 38

Answer:

x = 16

Step-by-step explanation:

you start off by isolating the variable

Divide total amount used by the amount in the rate:

27,000 / 750 = 36

Multiply that number by the rate:

36 x 1.98 = 71.28

The bill is $71.28

Answer:

The answer is "[tex]\bold{\frac{x^{'}^2}{17}-\frac{y^{'}^2}{31}=1}[/tex]"

Step-by-step explanation:

In the given question there is some mistyping error if the given value is this. so, its solution can be defined as follows:

[tex]19x^2 + 24\sqrt{3} xy - 5y^2 - 527 = 0...................(1) \\\\ \theta = 30^{\circ}[/tex]

Formula:

[tex]\bold{x=x'\cos \theta -y' \sin \theta}[/tex]            [tex]_{where} \ \ \ \ \theta =30[/tex]

  [tex]=x' \cos 30- y' \sin 30\\\\ =x' \frac{\sqrt{3}}{2}- y' \frac{1}{2}\\\\ =\frac{1}{2}(x' \sqrt{3}- y')....(a)\\\\[/tex]          

[tex]\bold{y=x'\sin \theta +y' \cos \theta}[/tex]            [tex]_{where} \ \ \ \ \theta =30[/tex]

  [tex]=x' \sin 30+y' \cos 30\\\\ =x' \frac{1}{2}+y' \frac{\sqrt{3}}{2}\\\\ =\frac{1}{2}(x'+ y'\sqrt{3})....(b)\\\\[/tex]          

put the equation (a) and equation (b) value in equation 1:

equation:

[tex]\to 19x^2 + 24\sqrt{3} xy - 5y^2 - 527 = 0...................(1) \\\\[/tex]

[tex]\to 19(\frac{1}{2}(x'\sqrt{3}- y'))^2+24\sqrt{3}(\frac{1}{2}(x'\sqrt{3}- y))( \frac{1}{2}(x'+y'\sqrt{3}))- 5(\frac{1}{2}(x'+y'\sqrt{3}))^2-527= 0\\[/tex]

[tex]\to \frac{19}{4}(3x^{'}^2+ y^{'}^{2}-2\sqrt{3}x' y')+6\sqrt{3}(\sqrt{3}x^{'}^{2}+2x'y'-\sqrt{3}y^{'}^2)-\frac{5}{4}(x^{'}^2+ 3y^{'}^{2}-2\sqrt{3}x' y')-527=0[/tex]

[tex]\to \frac{57}{4}x^{'}^2+\frac{19}{4}y^{'}^2-\frac{19 \sqrt{3}}{2}x^{'}^2y^{'}^2+18x^{'}^2+12\sqrt{3}x^{'}^2y^{'}^2-18y^{'}^2-\frac{5}{4}x^{'}^2-\frac{15}{4}y^{'}^2-\frac{5\sqrt{3}}{2}x^{'}^2y^{'}^2-527=0\\\\\to 31x^{'}^2-17y^{'}^2-527=0\\\\\to 31x^{'}^2-17y^{'}^2=527\\\\\to \frac{x^{'}^2}{17}-\frac{y^{'}^2}{31}=1\\\\[/tex]

Answer:The answer is The answer is ""

Step-by-step explanation:

Answer:

a = 10 and b = 5

Step-by-step explanation:

We write out f(x)= ab^x for x = 0 and x = 3 to create two equations in a and b that must be solved simultaneously:

(0, 10):  10 = a*b^0

This tells us that 10 = a*1, or a = 10.

(3, 1250):  1250 = a*b^3 => 10*b^3, or

1250 = 10*b^3, or

125 = b^3.  Taking the cube root of both sides, we obtain b = 5.

a = 10 and b = 5

Answer:

5 * 10^10.

Step-by-step explanation:

(9 * 10^10) - (4 * 10^10) = (9 - 4) * 10^10 = 5 * 10^10.

Hope this helps!

Answer:

5*10^10

Step-by-step explanation:

9 times ten is 9^10, and 4 Times 10^10 is 4^10 so 9^10 minus 4^10 is 50000000000 which is also called 5^10 which is also 5 x 10^10 I think. pls correct me if im wrong

Answer:

Summary. If the equation ends with a false statement (ex: 0=3) then you know that there's no solution. If the equation ends with a true statement (ex: 2=2) then you know that there's infinitely many solutions or all real numbers

Step-by-step explanation:

Answer: answer in the attachment

Step-by-step explanation:

Hope this might have helped you

Answer:

no it can not

Step-by-step explanation:

Triangle is always 180° in total.

Answer:

x/2 - x/3 = 1/4 + 1/5

(3x-2x)/6 = (5+4)/20

3x-2x = (9/20)*6

x = 54/20

x = 2.7

Answer:

x = 2.7  or 27/10.

Step-by-step explanation:

x/2 - 1/5 = x/3 + 1/4

Multiply through by the LCD of 2, 5, 3 and 4 which is 60:

30x - 12 = 20x + 15

10x = 27

x = 2.7

The volume of the pyramid is 1,280 cubic feet. Thus, the correct option is A.

Let h be the height of the pyramid, l be the slant height, and A be the base area of the pyramid. Then the volume of the pyramid will be given as,

Volume = (1/3) × A × h

The slant height is given as,

l² = (half of the side)² + h²

Given that:

Slant height, l = 17 ft

Side length, a = 16 ft

The height of the pyramid is calculated as,

17² = (16/2)² + h²

h = 15

The volume of the pyramid is calculated as,

V = 1/3 x 16 x 16 x 15

V = 256 x 5

V = 1,280 cubic feet

Thus, the correct option is A.

More about the volume of the pyramid link is given below.

https://brainly.com/question/17615619

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Answer:

$5219.20

Step-by-step explanation:

4000 × (1+(3 / 100))^9