The Tetrahedron Superyacht designed by Jonathan Schwinge is a regular tetrahedron with edges 20 m
long. The distance r from one corner to the center of the base (shown in the picture below) is 11.5 m.
pecial rig
What is the vertical height h of the tetrahedron?
Round your answer to the nearest tenth of a meter.
% 4 day
h
m

Answer:

3. 0.00035

Step-by-step explanation:

Note: Let us consider, we need to find the [tex]m\angle ABC[/tex] and [tex]m\angle DBC[/tex].

Given:

In the given figure, BD is the angle bisector of ABC.

To find:

The [tex]m\angle ABC[/tex] and [tex]m\angle DBC[/tex].

Solution:

BD is the angle bisector of ABC. So,

[tex]m\angle ABD=m\angle DBC[/tex]

[tex]3x=x+20[/tex]

[tex]3x-x=20[/tex]

[tex]2x=20[/tex]

Divide both sides by 2.

[tex]x=\dfrac{20}{2}[/tex]

[tex]x=10[/tex]

Now,

[tex]m\angle DBC=(x+20)^\circ[/tex]

[tex]m\angle DBC=(10+20)^\circ[/tex]

[tex]m\angle DBC=30^\circ[/tex]

And,

[tex]m\angle ABC=(3x)^\circ+(x+20)^\circ[/tex]

[tex]m\angle ABC=(4x+20)^\circ[/tex]

[tex]m\angle ABC=(4(10)+20)^\circ[/tex]

[tex]m\angle ABC=(40+20)^\circ[/tex]

[tex]m\angle ABC=60^\circ[/tex]

Therefore, [tex]m\angle DBC=30^\circ,m\angle ABD=30^\circ[/tex] and [tex]m\angle ABC=60^\circ[/tex].

Answer:

25%

Step-by-step explanation:

Probability = # of favorable outcomes / possible outcomes

favorable outcomes is what we want to happen ( throwing more than 3 pitches )

So to find the # of favorable outcomes we must find the frequency that the pitcher throws more than 3 pitches ( note: frequency of throwing 3 pitches is not included)

There are two possible outcomes of the pitcher pitching more than 3 pitches, 4 pitches having a frequency of 15, and 5 pitches which has a frequency of 10

So # of favorable outcomes = 10 + 15 = 25

Now we want to find the # of possible outcomes.

To do so we simply add the frequencies of each possible outcome.

15 + 20 + 40 + 15 + 10 = 100

So there are a total of 100 possible outcomes

Finally to find the probability of the pitcher throwing more than 3 pitches we divide favorable outcomes ( 25) by possible outcomes (100)

Our answer = 25/100 which can be converted into a percentage as 25%

Answer:

$425.6 should be budgeted for weekly repairs and maintenance.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean $400 and standard deviation $20.

This means that [tex]\mu = 400, \sigma = 20[/tex]

How much should be budgeted for weekly repairs and maintenance to provide that the probability the budgeted amount will be exceeded in a given week is only 0.1?

This is the 100 - 10 = 90th percentile, which is X when Z has a p-value of 0.9, so X when Z = 1.28.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.28 = \frac{X - 400}{20}[/tex]

[tex]X - 400 = 20*1.28[/tex]

[tex]X = 425.6[/tex]

$425.6 should be budgeted for weekly repairs and maintenance.

Answer:

1. plants

2. together

3. is

4. family

5. talking

6. weeds

7. experience

8. planter

9. on

10. fields

11. too

12. method

13. around

14. react.

Explanation:

The given passage talks about the impact of chemicals on the ecosystem. The speaker narrates how the ecology belongs to plants, animals, and humans, though man seemed intent to destroy it for himself.

The blanks in the given passage are filled with the appropriate words as follows-

Ecology is the study of how (1) plants, animals, and people live (2) together and help each other. But man sometimes forgets he (3) is a part of the (4) family of all living things. Here is an example. A planter is (5) talking about killing (6) weeds on his land. He remembers his first (7) experience with a weedicide. He was a (8) planter then, working (9) on a rubber plantation. He had a problem with weeds. The cost of weeding of the (10) fields by hand was getting (11) too high. So he used a new, cheap, and effective (12) method, good old Sodium Arsenate. He sprayed plenty of this (13) around to kill the weeds. The first thing to (14) react were the frogs.

Answer:

Number of Cents = 10x

Step-by-step explanation:

Since w

Since we know that there are 10 cents in a dime, the amount of cents in an unknown quantity of dimes is 10 * the number of dimes.

Therefore the number of cents in x dimes is 10x

Answer:

165.47≈165 Gallons of Water

Step-by-step explanation:

According To the Question,

The pool is filled with water to 2/3 of its height (H= 2/3 feet) .

Volume of Cylinder = π×R²×H , now put values, we get

Volume = 3.14×3.25²×2/3

Volume = 22.122 foot³ .

And, One cubic foot equals 7.48 gallons of water

Thus, 22.122 cubic foot equals to 165.47≈165 gallons of water .

Answer:

-2

Step-by-step explanation:

If given lines are parallel, their slope must be equal. Therefore, the slope of the red line is also -2.

Answer:

893

Step-by-step explanation:

To the right of the decimal, the number 8 is greater than 4 so you have to round up the number to the left. So 2 becomes 3 in the ones place.

Hope this helps.

[tex]$\mathcal{WHOLE \ \ NUMBERS:}$[/tex]

The closest number is 893

Saludos ten lindo día uwu

Answer:

a. $354

b.$34.05p

Step-by-step explanation:

10 monthly instalments

10x28.5=280

plus the deposit 280+69=354

The difference between 354 and 319.95 is 34.05  

a. The total hire purchase price of the bicycle is $354.

b. The difference between the hire purchase price and the cost price of the bicycle is $34.05.

Total hire purchase price=(10 months×$28.5)+$69

Total hire purchase price=$285+$69

Total hire purchase price=$354

Difference=$354-$319.95

Difference=$34.05  

Inconclusion the total hire purchase price of the bicycle is $354 and the difference between the hire purchase price and the cost price of the bicycle is $34.05.

Learn more about  hire purchase price here:https://brainly.com/question/24730392

Answer:

4x² -4xy -4y -4

Step-by-step explanation:

[tex]\boxed{ {a}^{2} - {b}^{2} = (a + b)(a - b)}[/tex]

In this case, a= 2x -y and b= y +2.

(2x -y)² -(y +2)²

= (2x -y +y +2)[2x -y -(y +2)]

= (2x +2)(2x -y -y -2)

= (2x +2)(2x -2y -2)

= 2x(2x) +2x(-2y) +2x(-2) +2(2x) +2(-2y) +2(-2) (expand)

= 4x² -4xy -4x +4x -4y -4

= 4x² -4xy -4y -4

Alternatively, start by expanding the brackets.

[tex]\boxed{(a - b)^{2} = {a}^{2} - 2ab \: + {b}^{2} }[/tex]

[tex]\boxed{(a + b)^{2} = {a}^{2} + 2ab \: + {b}^{2} }[/tex]

(2x -y)² -(y +2)²

= 4x² -4xy +y² -(y² +4y +4)

= 4x² -4xy +y² -y² -4y -4 (expand)

= 4x² -4xy -4y -4 (simplify)

You didn't specify what the question was. However, I am going to assume you are looking for the missing side of the shape.

Let's call the left side "Side A" and the right side "Side B". One is longer than the other side. In this case, Side B is longer than Side A. To find the missing length, you will need to subtract Side A from Side B

Side B - Side A = Missing side

16 - 13 = 3

Therefore, the length of the missing side is 3.

Neva is hungry and she buys a snack from the concession stand event is independent.

It is a branch of mathematics that deals with the occurrence of a random event.

Two events are independent if the occurrence of one event does not affect the probability of the other event occurring.

Based on this definition, the scenario that depicts two independent events is Neva is hungry and she buys a snack from the concession stand.

The fact that Neva is hungry and decides to buy a snack from the concession stand is not affected by any other event.

The occurrence of one event (Neva buying a snack) does not affect the probability of the other event occurring.

Therefore, the Neva is hungry and she buys a snack from the concession stand. event is independent.

To learn more on probability click:

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#SPJ5

9514 1404 393

Answer:

  (C) Thursday on the playing fields

Step-by-step explanation:

The surface area of A is ...

  SA = 6s² = 6(5 cm)² = 150 cm² = 150(0.01 m)² = 0.015 m²

This matches Monday and Thursday.

The volume of D is ...

  V = Bh = (1/2bh)·h'

where b is the triangle base, h is the triangle height, and h' is the prism height.

  V = (1/2)(15 cm)(8 cm)(10 cm) = 600 cm³

This matches Thursday only.

__

The Accusation: Thursday on the playing fields.

Answer:

Answer:

60

a

30

Step-by-step explanation:

I uuwuwuueieieieiewiiwiwiwiwiwiwieiwie

Answer:

Its either exponential growth or increasing linear. I am positive it is not exponential decay or decreasing linear, but if I had to choose it would be exponential growth.

Answer:

Hi how are you will u friendship with me plz

Answer:

[tex]{ \tt{ \frac{( \frac{x + y}{x - y}) }{( \frac{y + x}{y - x}) } }} \\ \\ { \tt{ = \frac{x + y}{x - y} \times \frac{y - x}{y + x} }} \\ \\ { \tt{ = \frac{-(x- y)}{x - y} }}[/tex]

Answer: = -1

Answer:D. The answer is 3.

Step-by-step explanation:

Answer:

1.5871

Step-by-step explanation:

According to the Question,

The Solution, With Basic Properties of Log.

7*log15-7*log16+6*log8-6*log3+5*log2-5*log3+log32-log25

7*1.176-7*1.204+6*0.903-6*0.477+5*0.3010-5*0.477+1.505-1.3979

on Solving, We get

1.5871

Answer:

Children= 384      Adults= 170

Step-by-step explanation:

First, write a system of algebraic equations:

[tex]1.75x+2.50y=1097[/tex]

[tex]x+y=554[/tex]

Second, use linear combination to eliminate one variable (I will eliminate x, or children.)

[tex]1.75x+2.50y=1097[/tex]

[tex]-1.75(x+y=554)[/tex]

[tex]1.75x+2.50y=1097[/tex]

[tex]-1.75x+-1.75y=-969.5[/tex]

[tex]0.75y=127.5[/tex]

Divide both sides by 0.75

[tex]0.75y=127.5[/tex]

[tex]/0.75[/tex]        [tex]/0.75[/tex]

[tex]y=170[/tex], there are 170 adults

Now, plug in 170 for [tex]x+y=554[/tex]

[tex]x+170=554[/tex]

Subtract 170 from both sides

[tex]x+170=554[/tex]

      [tex]-170[/tex]   [tex]-170[/tex]

[tex]x=384[/tex], there are 384 kids.

Hope this helps!!!

Answer:

384 children and 170 adults

Step-by-step explanation:

if x is children and y is adults

1.75x+2.5y=1097

x+y=554

1.75x=1097-2.5y

x=554-y

1.75x=1097-2.5y

1.75x=1.75(554-y)

1097-2.5y=969.5-1.75y

1097-969.5=2.5y-1.75y

127.5=0.75y

127.5/0.75=y

170=y

x+y=554

x=554-y

x=554-170

x=384

to prove these are correct just do 1.75(384)+2.5(170) and see if it equals 1097, and do 384+170 to see if its the amount of people

1.75(384)+2.5(170)

672+425

1097

384+170=554

Answer:

May I ask what subject you are behind in?

Answer:

Step-by-step explanation:

Prime factorize 75

[tex]\sqrt{75x^{7}}=\sqrt{5*5*3* x * x * x * x * x * x *x}\\\\ =5*x *x *x \sqrt{3x}\\\\= 5x^{3}\sqrt{3x}[/tex]

Answer:

1. mode

2. median, mode, mode interval

3. stem and leaf graph

4. not sure (try using a median calculator)

5. 80 or 90 (not exactly sure)

Step-by-step explanation:

Answer:

-5 + 3i √3

Step-by-step explanation:

Here, we want to get the value of uv

we have this as follows;

1( 1 + 2i √3) + i √3( 1 + 2i √3) ( i is same as square root of -1, so two roots of this will give the number we are looking for

= 1 + 2i √3 + i √3 + (2i)(i)(3)

= 1 + 3i √3 - 6

= 3i√ 3 -5

Answer:

x° ≈ 60.4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = x°

Adjacent Leg = 43

Hypotenuse = 87

Step 2: Solve for x

Answer:

I've attached the Answer

Answer:

56Pi

Step-by-step explanation:

Area of small circle:

Pi*r^2

25Pi

Area of large circle:

Pi*r^2

81Pi

Area of the 2D doughnut :

Large -small circle = 81Pi-25Pi

Answer:

Growth

Step-by-step explanation:

When x value increase, y value also increase, So growth.

When x = 1   ;f(1) = 2

When x = 2  ; f(2) = 2² = 4

When x = 3  ; f(3) = 2³ = 8

Answer:

Exponential Growth

Step-by-step explanation:

I found this photo that helps differentiate both growth and decay :)

I hope this helps! :)

Answer:

Rotated 90° counterclockwise, then reflected across the y-axis

Step-by-step explanation: