You are traveling underwater in a submarine. The sonar system detects an iceberg 4000 meters ahead, with an angle of depression of 34 degrees to the bottom of the iceberg. How many meters (to the nearest tenth) does the iceberg extend below the surface?

Answer:

Step-by-step explanation:

The volume of cone formula:

Substitute te given values into the formula and solve for r:

Answer:

10 cm

Step-by-step explanation:

Volume of a cone

  [tex]\sf V= \dfrac{1}{3} \pi r^2 h[/tex]

where:

Given information:

To find the length of the radius, substitute the given values into the formula and solve for r:

[tex]\begin{aligned}\sf V& = \sf \dfrac{1}{3} \pi r^2 h\\\\\implies \sf 400 \pi & = \sf \dfrac{1}{3} \pi r^2(12)\\\\ \sf 400 \pi & = \sf \dfrac{12}{3} \pi r^2\\\\ \sf 400 \pi & = \sf 4\pi r^2\\\\ \sf \dfrac{400 \pi}{4 \pi} & = \sf r^2\\\\ \sf r^2 & = \sf 100 \\\\ \sf \sqrt{r^2} & = \sf \sqrt{100}\\\\ \sf r & = \sf 10\end{aligned}[/tex]

Therefore, the length of the radius of the cone is 10 cm.

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Answer:

3/10

Step-by-step explanation:

Hope this helped

Answer: C. 125.66 in²

Step-by-step explanation:

      This is asking us to find the surface area of this cone. We can use the formula and solve.

A = πrl + πr²

A = π(4)(6) + π(4)²

A = π(4)(6) + π(4)²

A ≈ 125.66 in²

      It would take C. 125.66 in² of toilet paper to cover the surface of this cone.

    To answer these questions, we need to graph the equation as well as turn this into slope-intercept form, this is y = mx + b. The m is our slope and the b is the y-intercept.

-> See attached for graph

   1.5x + 4.5y = 18

   4.5y = -1.5x + 18

   y = -[tex]\frac{1}{3}[/tex]x + 4

      The slope is -[tex]\frac{1}{3}[/tex]

                y = -1/3x + 4

       The y-intercept is (0, 4)

                The x-intercept is (12, 0)

Circles are perfectly round figures that have only one central angle

The measure of JML is 233 degrees

The question is incomplete, so I will give a general explanation using the following parameter:

JL = 127 degrees.

Angles at a point add up to 360 degrees

So, we have:

JML + 127 = 360

Make JML the subject

JML = 360 - 127

JML = 233

Hence, the measure of JML is 233 degrees

Read more about circles and arcs at:

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Answer:

1225p

Step-by-step explanation:

1 minute = 35p

07:40 to 08:15 : 35 minute

=> 35 minute *35p=1225p

Answer:

c

Step-by-step explanation:

because you can simplify 4/6 by 2.

2 goes into 4 twice and then 2 goes into 6 3 times

2/3

Answer:

A, F, C

Step-by-step explanation:

(I think)

Answer:

D, C, E, A, B

Step-by-step explanation:

This is essentially the construction of a perpendicular bisector.

D. Draw a straight line from the center, O, through P and extending past P

C. With the compass on P, draw an arc on each side of P. Label the intersections Q and R.

E. With the compass on Q, set its width to a setting greater than. Make an arc outside the circle

A. Without changing the compass width, place the compass on R and make another arc, intersecting the first, and label the intersection S

B. Draw a line through P and S.

Arc length is the distance between 2 points in the arc of a circle. The arc of the circle could be calculated by using the following formula: Arc: Length = Θ x r

What does arc mean?

In general, the arc is a portion of the curve. In mathematics, unless otherwise begain, then arc usually refers to the portion of the circle. Types of arcs. A chord, or the central angle and an inscribed angle may divide the circle into 2 arcs.

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#SPJ2

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Plug in the values of the variables & simplify:-

[tex]\longrightarrow\pmb{4x^2y^2}[/tex]

The values of the variables are:-

[tex]\bigstar{\boxed{x=2~and~y=-2}[/tex]

Simplify:-

[tex]\longrightarrow\pmb{4(2)^2(-2)^2}[/tex]

[tex]\longrightarrow\pmb{4*4-4}[/tex]

[tex]\longrightarrow\pmb{16-4}[/tex]

[tex]\longrightarrow\pmb{12}[/tex]

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Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Answer:

the answer for this is 4.

The computation of the significance level shows that the p-value is less than 0.01 and the conclusion is that Americans use the internet more than 7 hours weekly.

It should be noted that the significance level simply means the probability that an event occured by chance.

From the complete question, it can be noted that at 0.01 significance level, the t statistic is 17.873 and the degree of freedom is 539.

The p-value for the right tailed test is 0. Therefore, since the p value is less than 0.01, we will reject the null hypothesis. The conclusion is that Americans use the internet more than 7 hours weekly.

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Answer: the answer is 55 degrees

Step-by-step explanation:

The perimeter of the isosceles right triangle comes to be 6+3√2.

Given that the length of one leg of an isosceles right triangle = 3 ft

A right-angle triangle having sides other than hypotenuse equal to each other is called an isosceles right triangle.

So, The length of the other leg of an isosceles right triangle = 3 ft

From Pythagoras theorem

Hypotenuse²=Perpendicular²+Base²

So, in the given isosceles right triangle

Hypotenuse²=Leg 1²+Leg2²

Leg 1=Leg2 = 3 feet

Hypotenuse² =  3²+3²

Hypotenuse = 3√2 ft.

So, the perimeter of the triangle = 3+3+ 3√2

The perimeter of the triangle =6+3√2

Therefore, The perimeter of the isosceles right triangle comes to be 6+3√2.

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Answer:

6 + 3 StartRoot 2 EndRoot ft

Step-by-step explanation:

Edge2022

Answer:

10x^3+8x^2-4x+1 is answer

Answer:

4 084 080 ways

Step-by-step explanation:

The number of ways is :

[tex]C^{3}_{18}\times C^{6}_{15}\times C^{9}_{9}[/tex]

___________

Since

  18C3=816

  15C6=5 005

  9C9=1

then

[tex]C^{3}_{18}\times C^{6}_{15}\times C^{9}_{9}=816\times5005\times1= 4\ 084\ 080[/tex]

Answer: 101 degrees

Step-by-step explanation:

Answer:

7^5

Step-by-step explanation:

Hopefully this helps :)

The quadratic function f(x) = 2x² – 44x + 185 is written in vertex form is f(x) = 2(x –  11)² – 57.

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

The quadrattic equation is f(x) = 2x² – 44x + 185.

Take common 2 from the equation, we have

[tex]f(x) = 2(x^2 - 22x )+ 185[/tex]

Add and subtract 121, we have

[tex]f(x) = 2(x^2 - 22x +121 - 121 )+ 185\\\\f(x) = 2[(x^2 - 11)^2-121]+ 185\\\\f(x) = 2(x-11)^2 - 242 + 185\\\\f (x ) = 2(x-11)^2 -57[/tex]

And we know that the standard equation

f(x) = a(x - h)² + k

On comparing, we have

The vertex (h, k) is (11, -57).

More about the quadratic equation link is given below.

https://brainly.com/question/2263981

Answer:

1. 2

2. 2

3. 11

4. -57

Step-by-step explanation: actual answers

Answer:

146

Step-by-step explanation:

Given;

 ∠A and ∠B are supplementary. The measure of ∠A is 34°.

To Find;

What is the measure of ∠B?

Note:

Supplementary = 180 degree

Solve:

Since supplementary = 180 degree

34 + x = 180

Subtract 34 from both sides

x + 34 - 23 = 180 - 34

Simplify

x = 146

Hence, the measure of ∠B is 146

~Learn with Lenvy~

Answer:

I belive the answer is 96 ft.

Step-by-step explanation:

Hope that helps!

Answer:

Yes they are similar

Step-by-step explanation:

Divide the length VW by ST

24 ÷ 16 = 1.333

Divide the length VU by SR

16 ÷ 12 = 1.333

→ As they have the same scale factor, they are similar.

Answer:

Step-by-step explanation:

First when triangles are similar angles are congruent and the side ratio are the same .

18/24=12/16=m/32

3/4=3/4=m/32

3/4=m/32

4m=96

m=24

Answer:

(-6, 1) (-6, 3) (-5, 3) (-5, 2) (-3 2) -3, 1

Step-by-step explanation:

By rotating 90 degrees x become y and y becomes negative x

Answer:

[tex]0.71\pi\: in^2[/tex]

Step-by-step explanation:

[tex]r_1= 3.5\: in[/tex]

[tex]r_2= 3.6\: in[/tex]

[tex]A_1=\pi r_1^2=\pi(3.5)^2= 12.25\pi \:in^2[/tex]

[tex]A_2=\pi r_2^2=\pi(3.6)^2= 12.96\pi \:in^2[/tex]

[tex]Difference\: in \:area =A_2-A_1=0.71\pi\:in^2[/tex]

[tex]\implies Error \:in\: the \:area \:of\: the \:circle = 0.71\pi\: in^2[/tex]

Answer:

3419.46 mm3

Step-by-step explanation:

volume of cylinder = area of circle x heoight

A of circle  = pie r sqy = 3.14 x 11 x 11 = 379.94

379.94 x 9 = 3419.46

Answer:

[tex]{ \tt{12 \: months = 328}} \\ { \tt{(12 \times 15) = \frac{(15 \times 328)}{1} }} \\ \\ = { \tt{4920}}[/tex]

Answer:

2008=328

2024=?

Step-by-step explanation:

12×13 = 16×328/1

Answer:

31

Step-by-step explanation:

The series are given as geometric series because these terms have common ratio and not common difference.

Our common ratio is 2 because:

1*2 = 2

2*2 = 4

The summation formula for geometric series (r ≠ 1) is:

[tex]\displaystyle \large{S_n=\frac{a_1(r^n-1)}{r-1}}[/tex] or [tex]\displaystyle \large{S_n=\frac{a_1(1-r^n)}{1-r}}[/tex]

You may use either one of these formulas but I’ll use the first formula.

We are also given that n = 5, meaning we are adding up 5 terms in the series, substitute n = 5 in along with r = 2 and first term = 1.

[tex]\displaystyle \large{S_5=\frac{1(2^5-1)}{2-1}}\\\displaystyle \large{S_5=\frac{2^5-1}{1}}\\\displaystyle \large{S_5=2^5-1}\\\displaystyle \large{S_5=32-1}\\\displaystyle \large{S_5=31}[/tex]

Therefore, the solution is 31.

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Summary

If the sequence has common ratio then the sequence or series is classified as geometric sequence/series.

Common Ratio can be found by either multiplying terms with common ratio to get the exact next sequence which can be expressed as [tex]\displaystyle \large{a_{n-1} \cdot r = a_n}[/tex] meaning “previous term times ratio = next term” or you can also get the next term to divide with previous term which can be expressed as:

[tex]\displaystyle \large{r=\frac{a_{n+1}}{a_n}}[/tex]

Once knowing which sequence or series is it, apply an appropriate formula for the series. For geometric series, apply the following three formulas:

[tex]\displaystyle \large{S_n=\frac{a_1(r^n-1)}{r-1}}\\\displaystyle \large{S_n=\frac{a_1(1-r^n)}{1-r}}[/tex]

Above should be applied for series that have common ratio not equal to 1.

[tex]\displaystyle \large{S_n=a_1 \cdot n}[/tex]

Above should be applied for series that have common ratio exactly equal to 1.

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Topics

Sequence & Series — Geometric Series

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Others

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