A density graph for all the possible speeds between 0 mph and 160 mph is in
the shape of a triangle. What is the height of the triangle?

A. 0.00625
B. 0.025
C. 0.0125
D. 0.003125

Answer:

0.11

Step-by-step explanation:

0.44/x=100/25

(0.44/x)*x=(100/25)*x

0.44=4*x

0.44/4=x

0.11=x

Given:

A figure of a right triangle whose altitude divides the opposite in two segments of 8 and 4 units.

The measure of the altitude is n.

To find:

The value of n.

Solution:

According to the altitude on hypotenuse theorem, the altitude on the hypotenuse of a right triangle is geometric mean of two segments of the hypotenuse.

Let the altitude h divides the hypotenuse in two parts with measure a and b, then

[tex]\dfrac{h}{a}=\dfrac{b}{a}[/tex]

[tex]h^2=ab[/tex]

[tex]h=\sqrt{ab}[/tex]             [Because side length cannot be negative]

In the given figure, the altitude is n and it divides the hypotenuse in two segments of 8 units and 4 units.

Using altitude on hypotenuse theorem, we get

[tex]\dfrac{n}{8}=\dfrac{4}{n}[/tex]

[tex]n^2=4\times 8[/tex]

[tex]n^2=32[/tex]

[tex]n=\sqrt{32}[/tex]

Therefore, the measure of altitude is [tex]n=\sqrt{32}[/tex] units.

Answer: x< - 35 over 2

Step-by-step explanation:

multiply both sides by -1 (reverse inequality)

simplify

multiply both sides by 7

simplify

divide both sides by 4

Answer:

40

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

see image below

The median is B. 2.5

Step-By-Step Explanation:

The dot plot goes by the data

1 2 2 3 3 4

those are six numbers in total!

Since 6 is an even number we'd need to find out the number in between the two numbers in the middle.

In this case that would be 2 and 3.

The number in the middle of 2 and 3 is 2.5

- - - - -

IN CONCLUSION

Your answer is B. 2.5

- - - - -

I hope I helped! :)

The answer is 83 ;D

This exposition impractically catches the pith of New York City much superior to anything I will ever have the capacity to. As a Californian, I view New York as I envision a New Yorker in the Nineteenth Century would view California. The contemplation is practically outlandish. California is the boundlessness edged pool of a landmass. Its wide open meanders perpetually, forever of the open doors which it holds until the land drops into nothingness and the Pacific devours it.

New York then again, shouldn't exist. Many think of it as the zenith of human accomplishment, a mixture of humankind existing together with an enthusiastic feeling of a club, all living under the standard held high that drains, "New York." It is where ten million drums play to their own beat, yet all ring to a similar congruity.

Didion's involvement in the city echoes these tones. The city is undoubtedly a spot where a half year can transform into eight years, and a night out can transform into a marriage. Didion expressed, "It was an unendingly sentimental idea, the puzzling nexus of all affection and cash and power, the sparkling and short-lived dream itself."

This exposition goes about as Didion's adoration letter to the city, one that isn't composed starting with one captivated sweetheart then onto the next, yet rather as Socrates would keep in touch with Zeus in an incredible miracle of his god-like power. Didion sees New York as legendary Fate, culling and cutting the strings of life which would decide her way of presence. Didion drives home the thought that New York is a thought. It represents something. New York is synonymous with America.

Opportunity. Renewed opportunities. Acts of futility. It is the New Mesopotamia, the support of life held in its bin by the two streams which give it its separated liveliness. American contemporary articles endeavor to restore the sentimental nature which used to drive American writers like Whitman and Thoreau to compose, and she completes a magnificent activity of that. My inquiry is how does Didion's association with the city influence her life?

Answer:

-2

Step-by-step explanation:

You first get the sqrt for everything.

64-25•2

------------

3-10

Then multiply the 25 and 2 first because of PEMDAS.

So

64-50

---------

3-10

Then subtract from both top and bottom.

14/-7

Then divide.

-2

Hope this helps

Brainliest would be appreciated.

Answer:

6²• 11 ehh tell me if I'm wrong ^^

Answer:

Option D

Step-by-step explanation:

From the figure attached,

Measure of the opposite side = 17

Measure of the adjacent side = [tex]x[/tex]

Measure of the hypotenuse = [tex]y[/tex]

Measure of the angle = [tex]30^0[/tex]

By applying sine rule in the given right triangle,

sin(30°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{1}{2}=\frac{17}{y}[/tex]

[tex]y=34[/tex]

By applying cosine rule in the given triangle,

cos(30°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{\sqrt{3}}{2}=\frac{x}{y}[/tex]

[tex]\frac{\sqrt{3}}{2}=\frac{x}{34}[/tex]

[tex]x=17\sqrt{3}[/tex]

Therefore, Option D will be the answer.

Answer:

The right answer is :

(a) 23,200

(b) 24,514

(c) 22,926

Step-by-step explanation:

According to the question,

[tex]P_1 = 12000[/tex]

[tex]P_2 = 20000[/tex]

[tex]P_{sat}=80000[/tex]

(a)

We know that the arithmetic growth formula will be:

⇒ [tex]P=Pi+K\times t[/tex]...(1)

here,

⇒ [tex]K=\frac{P_2-P_1}{\Delta t}[/tex]

        [tex]=\frac{20000-12000}{25}[/tex]

        [tex]=\frac{80000}{25}[/tex]

        [tex]=320[/tex]

On putting the values in equation (1), we get

⇒ [tex]P_{2020}=20000+320\times 10[/tex]

             [tex]=23,200[/tex]

(b)

The geometric growth formula will be:

⇒ [tex]P=ln(Pi)+K\times t[/tex]

here,

⇒ [tex]K=\frac{lnP_2-lnP_1}{\Delta t}[/tex]

         [tex]=\frac{ln(20000)-ln(12000)}{25}[/tex]

By putting the values of general log, we get

hence,

⇒ [tex]P_f=ln(20000)+0.0204\times 10[/tex]

         [tex]=10.107[/tex]

[tex]P_{2020}=e^{10.107}[/tex]

          [tex]=24,514[/tex]

(c)

⇒ [tex]P_f=P_{sat}-(P_{sat}-P_i)e^{-K\times t}[/tex]

or,

⇒ [tex]K=-\frac{1}{\Delta t}ln(\frac{P_{sat}-P_2}{P_{sat}-P_1} )[/tex]

from here, we get

        [tex]=0.005[/tex]

hence,

⇒ [tex]P_{2020}=80000-(80000-20000)e^{-0.005\times 10}[/tex]

             [tex]=80000-(60000)e^{-0.005\times 10}[/tex]

             [tex]=22,926[/tex]

The probability distribution for a random variable x is given in the table x > 5 is 0.5.

Probability refers to a possibility that deals with the occurrence of random events.

The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

We are given that;

The table

Now,

Using these facts, we can find the probability that x > 5 from the given table:

The possible values of x that are greater than 5 are 10, 15, and 20. We need to add their probabilities to get the probability of x > 5.

The probability of x = 10 is 0.25, the probability of x = 15 is 0.1, and the probability of x = 20 is 0.15. Adding them together, we get:

P(x > 5) = P(x = 10) + P(x = 15) + P(x = 20)

P(x > 5) = 0.25 + 0.1 + 0.15

P(x > 5) = 0.5

Therefore, the probability will be 0.5.

Learn more about probability here;

https://brainly.com/question/9326835

#SPJ7

Answer:

sum

In the given G.S., we have,

a

=

the

1

s

t

term

=

3

,

& the common ratio

r

=

−

6

3

=

−

2

Hence, the sum

S

n

of its first

n

terms is given by,

S

n

=

a

(

1

−

r

n

)

1

−

r

∴

The Reqd. Sum S_7

=

3

(

1

−

(

−

2

)

7

)

1

−

(

−

2

)

=

3

(

1

+

128

)

3

=

129

Answer:

77 millimeters

Step-by-step explanation:

10 millimeters = 1 centimeter

Therefore:

3 centimeters = 30 millimeters

47+30 = 77

Answer:

9.5  feet/ 1 second is your unit rate

Step-by-step explanation:

In order to make a unit rate you have to make the denominator 1 so it can be a whole number which means you divide by the denominator on both sides both numerator and denominator.

Answer:

B

Step-by-step explanation:

Answer:

C) avoiding convenience store purchases

Step-by-step explanation:

Answer: a

Step-by-step explanation:

Answer:

?</><<

Step-by-step explanation:

Answer:

b ≈ 3.9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Define

Identify variables

a = 1

c = 4

Step 2: Solve for b

Answer:

x = 1/2.

Step-by-step explanation:

x/x+1 = 1/3

3x = x + 1

2x = 1

x = 1/2.

Answer:

The are 40 girls in the choir.

Step-by-step explanation:

First you set up an equation:

5/3=x/24

Then solve the inequality:

5 * 24 = 120

120 / 3 = 40 girls.

Hope this was helpful!!! Please mark me as brainliest!!!! XD

Answer:

yes i think its b

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

18 is not a multiple of 12

and 12 is not a multiple of 8

Answer:

awnser is 36

Step-by-step explanation:

Answer:  x = 37

Step-by-step explanation:

you can use the pythagorean theorem to solve this:

[tex]a^{2} + b^{2} = c^{2}[/tex]

'a' and 'b' in the equation is referring to the legs of the right triangle, or the sides adjacent to the hypotenuse (which is the side opposite the right angle)

plug in the legs into the equation and you get :

[tex]12^{2} + 35^{2} = x^{2}[/tex]

now to solve that we just square 12 and 35 and you get

144 + 1225 = [tex]x^{2}[/tex]

1369 =  [tex]x^{2}[/tex]

x = [tex]\sqrt{1369}[/tex]

x= 37

:))

Answer:

46

Step-by-step explanation:

3(6)+40-6(2)

18+40-12

58-12

46

Answer:

The answer is 40.

Step-by-step explanation:

If you do 40 x 5 the answer you get is 200. Which from there you can do 40 x 7 and get 280 which 280 - 200 is 80. Thus meaning the number would be 40.  Hope this helps!

Answer:

B

Step-by-step explanation:

Answer:

you should multiply or add

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

Total -- 6 people

3 people -- 3/6 = 1/2

Therefore, the answer is 1/2

The probability that a randomly selected person will have red hair for this case is obtained  being 1/2 (in fraction form) or 0.5 (in decimal form).

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

For this case, we're given that:

We can assume that all the people are equally likely to get selected for this case as selection was done randomly, so all of the 6 people was likely to get chosen without bias.

Now, let we take:

E = event of selecting a red hair person

Then, the number of ways a selection ends up making E happen = 3 (as there are 3 people with red hair, so any of those 3 getting selected will make E happen).

Total number of ways selection can be done = 6 (as selection is done from those 6 people).

Thus, we get:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)} = \dfrac{3}{6} = \dfrac{1}{2} = 0.5[/tex]

Thus, the probability that a randomly selected person will have red hair for this case is obtained  being 1/2 (in fraction form) or 0.5 (in decimal form).

Learn more about probability here:

brainly.com/question/1210781

#SPJ2

Answer:

4 is f and 5 is t

Step-by-step explanation:

Answer:

number 4 is true

number 5 is false

hope it helps :)