these cones are similar. find the volume of the smaller cone. round to the nearest tenth.

These Cones Are Similar. Find The Volume Of The Smaller Cone. Round To The Nearest Tenth.

Answers

Answer 1

Answer:

Volume of the smaller cone = 8.34 cm³

Step-by-step explanation:

"If two figures are similar, their dimensions will be proportional.

Following this rule,

Ratio of the dimensions of two cones = [tex]\frac{\text{Radius of the large cone}}{\text{Radius of the small cone}}[/tex]

                                                               = [tex]\frac{r_2}{r_1}[/tex]

                                                               = [tex]\frac{5}{2}[/tex]

                                                               = 2.5

Similarly, "ratio of the volumes of two similar figures is cube of the dimensional ratio".

Ratio of the volumes = (ratio of the dimensions)³

[tex]\frac{V_1}{V_2}=(2.5)^3[/tex]

[tex]\frac{131}{V_2}=15.625[/tex]

[tex]V_2=\frac{131}{15.625}[/tex]

    = 8.384 cm³  

    ≈ 8.4 cm³

Therefore, volume of the smaller cone is 8.4 cm³.                          


Related Questions

To prove that the triangles are similar by the SAS similarity theorem, it needs to be shown that

Answers

Answer:

The triangle has two sides that are equivalent and the angle where the two meet are also equivalent.

In other words, two sides and the angle between them are congruent.

Hope this helps, if it does please give me brainliest, it will help me a lot :)

Have a good day

Answer:

A on edge

Step-by-step explanation:

how to do this question plz ​

Answers

Answer:

[tex]=3/4[/tex]

Step-by-step explanation:

[tex]\frac{4\sqrt{18}}{16\sqrt{2}}[/tex]

First, simplify the fraction:

[tex]=\frac{\sqrt{18}}{4\sqrt2}[/tex]

Now, simplify the radical in the numerator (the radical in the denominator cannot be simplified:

[tex]\sqrt{18}=\sqrt{9\cdot2}=\sqrt{9}\cdot\sqrt{2}=3\sqrt{2}[/tex]

Substitute:

[tex]=\frac{3\sqrt{2}}{4\sqrt{2}}[/tex]

The radicals cancel:

[tex]=3/4[/tex]

What the correct answer now

Answers

Answer:

  11

Step-by-step explanation:

The Law of Cosines is useful when you have two sides of a triangle and the angle between.

  v^2 = w^2 +u^2 -2wu·cos(V)

  v^2 = 6^2 +16^2 -2·6·16·cos(27°)

  v^2 = 292 -171.0733

  v ≈ 10.9966

  v ≈ 11

Solve the oblique triangle where side a has length 10 cm, side c has length 12 cm, and angle beta has measure thirty degrees. Round all answers using one decimal place.

Answers

Answer:

[tex]Side\ B = 6.0[/tex]

[tex]\alpha = 56.3[/tex]

[tex]\theta = 93.7[/tex]

Step-by-step explanation:

Given

Let the three sides be represented with A, B, C

Let the angles be represented with [tex]\alpha, \beta, \theta[/tex]

[See Attachment for Triangle]

[tex]A = 10cm[/tex]

[tex]C = 12cm[/tex]

[tex]\beta = 30[/tex]

What the question is to calculate the third length (Side B) and the other 2 angles ([tex]\alpha\ and\ \theta[/tex])

Solving for Side B;

When two angles of a triangle are known, the third side is calculated as thus;

[tex]B^2 = A^2 + C^2 - 2ABCos\beta[/tex]

Substitute: [tex]A = 10[/tex],  [tex]C =12[/tex]; [tex]\beta = 30[/tex]

[tex]B^2 = 10^2 + 12^2 - 2 * 10 * 12 *Cos30[/tex]

[tex]B^2 = 100 + 144 - 240*0.86602540378[/tex]

[tex]B^2 = 100 + 144 - 207.846096907[/tex]

[tex]B^2 = 36.153903093[/tex]

Take Square root of both sides

[tex]\sqrt{B^2} = \sqrt{36.153903093}[/tex]

[tex]B = \sqrt{36.153903093}[/tex]

[tex]B = 6.0128115797[/tex]

[tex]B = 6.0[/tex] (Approximated)

Calculating Angle [tex]\alpha[/tex]

[tex]A^2 = B^2 + C^2 - 2BCCos\alpha[/tex]

Substitute: [tex]A = 10[/tex],  [tex]C =12[/tex]; [tex]B = 6[/tex]

[tex]10^2 = 6^2 + 12^2 - 2 * 6 * 12 *Cos\alpha[/tex]

[tex]100 = 36 + 144 - 144 *Cos\alpha[/tex]

[tex]100 = 36 + 144 - 144 *Cos\alpha[/tex]

[tex]100 = 180 - 144 *Cos\alpha[/tex]

Subtract 180 from both sides

[tex]100 - 180 = 180 - 180 - 144 *Cos\alpha[/tex]

[tex]-80 = - 144 *Cos\alpha[/tex]

Divide both sides by -144

[tex]\frac{-80}{-144} = \frac{- 144 *Cos\alpha}{-144}[/tex]

[tex]\frac{-80}{-144} = Cos\alpha[/tex]

[tex]0.5555556 = Cos\alpha[/tex]

Take arccos of both sides

[tex]Cos^{-1}(0.5555556) = Cos^{-1}(Cos\alpha)[/tex]

[tex]Cos^{-1}(0.5555556) = \alpha[/tex]

[tex]56.25098078 = \alpha[/tex]

[tex]\alpha = 56.3[/tex] (Approximated)

Calculating [tex]\theta[/tex]

Sum of angles in a triangle = 180

Hence;

[tex]\alpha + \beta + \theta = 180[/tex]

[tex]30 + 56.3 + \theta = 180[/tex]

[tex]86.3 + \theta = 180[/tex]

Make [tex]\theta[/tex] the subject of formula

[tex]\theta = 180 - 86.3[/tex]

[tex]\theta = 93.7[/tex]

Find the value of x in the data given below if the mean is 2. The values are 2, 4, 1, 1, x, 3, 2

Answers

Answer:

[tex]\boxed{x=1}[/tex]

Step-by-step explanation:

[tex]mean=\frac{sum \: of \: terms}{number \: of \: terms}[/tex]

[tex]2=\frac{2+4+1+1+x+3+2}{7}[/tex]

[tex]2=\frac{13+x}{7}[/tex]

[tex]14=13+x[/tex]

[tex]x=1[/tex]

PLEASE HELP FAST

answers:

A.) RT and plane RSU

B.) RS and plane UR

C.) RS and plane RSU

D.) SR and plane UT

Answers

Answer:

RS and plane RSU

Step-by-step explanation:

I think not to sure

Real solutions please WILL GIVE BRAINLIEST

Answers

Answer:

the answer is A=2

Step-by-step explanation:

a real solution is a solution that uses real numbers. This equation has 2 real solutions.

Answer:

A. 2 real solutions

Step-by-step explanation:

One graph is a parabola and 1 graph is a straight line and they intersect twice.

Please Answer ASAP! (NO EXPLANATION NEEDED!) <3

Answers

volume=l1*l2*l3

=8*15*20=2400cm^3

Volume = length x breadth x height = 20 x 15 x 8 = 2400 sq cm

HALP !Find the next term of the series: -3 + -1 + 1 + ...

Answers

Answer:

3

Step-by-step explanation:

We are adding 2 each time

-3 +2 = -1

-1 +2 = 1

To get the next term add 2

1 +2 = 3

Answer: 3

Step-by-step explanation:

The slope-intercept form of the equation of a line that passes through point (-3, 8) is y=-2/3x+6. What is the point-slope form of the
equation for this line?

Answers

Answer:

b. y - 8 = -2/3(x + 3)

Step-by-step explanation:

Well point-slope form takes one point in this case (-3,8) and puts it into the equation.

So this is point slope form,

[tex]y -y_{1} = m(x - x_{1} )[/tex]

The 2 negatives in the -y and -x means you have to change the number to a negative to a positive to a negative.

We plug in (-3,8) to the equation.

y - 8 = m(x + 3)

Well we change the -3 to a 3 because of the negative.

So with the given slope -2/3 we plug that in for m.

y - 8 = -2/3(x + 3)

Thus,

answer choice b is correct.

Hope this helps :)

Find the value of x in the
following parallelogram:
2x - 5
X + 10
x = [?]

Answers

Answer:

15

Step-by-step explanation:

Opposite sides in a parallelogram are equal.

2x - 5 = x + 10

Subtract x and add 5 on both sides.

2x - x = 10 + 5

Combine like terms.

x = 15

Answer:

[tex]\boxed{\red {x= 15}}[/tex]

Step-by-step explanation:

We know that opposite sides in a parallelogram are equal.

So, in this sum value of the sides in a parallelogram

[tex]x + 10 \: \: \: and \: \: \: 2x - 5[/tex]

So now let's create an equation

[tex]x + 10 = 2x - 5[/tex]

Now let's solve for x

[tex]x + 10 = 2x - 5 \\ 10 + 5 = 2x - x \\ 15 = x[/tex]

I need an answer asap. I really would like some help with this

Answers

Answer:

(x + 4)² + (y + 1)² = 4

Step-by-step explanation:

From the graph attached,

Extreme ends of the diameter of the circle,

(-4, 1) and (-4, -3)

Center of the circle = Midpoint of the diameter

Center = [tex](\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]

           = [tex](\frac{-4-4}{2},\frac{1-3}{2})[/tex]

           = (-4, -1)

Radius of the circle = Distance between the center and extreme end

                                = 2 units

Since standard equation of the circle is,

(x - h)² + (y - k)² = r²

where (h, k) is the center and 'r' is the radius of the circle

By substituting the values in the standard equation,

(x + 4)² + (y + 1)² = 2²

(x + 4)² + (y + 1)² = 4

in which table does y vary inversely with x?

Answers

Answer:

Table B

Step-by-step explanation:

Note that for y to vary inversely as x, an increase in x will cause a decrease in y. Therefore, by careful observation of tables A, B, C, and D, we would notice the following:

In table C:

As x increases from 1 to 2 to 3, y also increases from 26 to 52 to 78. Which means that an increase in x causes an increase in y. This is not an inverse variation.

In table D:

As x increases from 1 to 2 to 3, y also increases from -7 to -1 to 6. Which means that an increase in x causes an increase in y. This is also not an inverse variation.

We are left with options A and B

If y varies inversely as x, the following relationship must hold:

[tex]y \alpha \frac{1}{x}\\y = \frac{k}{x}[/tex]

Where k is a constant of proportionality

considering option B:

When x = 1, y = 36

36 = k/1

k = 36 * 1

k = 36

when x = 2, y = 36/2

y = 18

when x = 3, y = 36/3

y = 12

These tally with all that is indicated in the table. Option B is an inverse variation

Be nice and answer my question

Answers

Answer:

look below

Step-by-step explanation:

hi

A family has two cars. The first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of 30 miles per gallon of gas. During one particular week, the two cars went a combined total of 1650 miles, for a total gas consumption of 65 gallons. How many gallons were consumed by each of the two cars that week? Firstcar:gallons= Secondcar:gallons=

Answers

Answer:

First car: 30 gallons

Second car: 35 gallons

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations:

Total gas consumption was 65:

x+y=65

Where:

x = gallons consumed by the first car

y = gallons consumed by the second car

The first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of 30 miles per gallon of gas, the two cars went a combined total of 1650 miles:

x 20+y 30 = 1650

The system is:

x+y=65 (1)

x 20+y 30 = 1650 (2)

Isolating y on (1)

y = 65-x

Replacing y= 65-x on (2):

x 20+(65-x)30 = 1650

20x +1,950-30x= 1650

20x-30x= 1650-1950

-10x= -300

x= -300/-10

x = 30 gallons

Back to (1)

y =65-x

y =65-30

y= 35 gallons

Feel free to ask for more if needed or if you did not understand something.  

The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times the measure of the first angle. The third angle is 10 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles.

Answers

Answer:

x= 118 y= 26 and z=36

Step-by-step explanation:

The sum of the measures of the angles of a triangle is 180

can be written as x+y+z=180

The sum of the measures of the second and third angles is four times the measure of the first angle.  

It can be written by:  x+y=4z

The third angle is 10 more than the second

It can be written as z=y+10

By solving the equations systems the above values can be determined.

x + y + z = 180

Substituting,

4z + z = 180

5z = 180

z = 180 / 5 = 36

z = y + 10

36 - 10 = y

y = 26

x + y + z = 180

x + 26 + 36 = 180

x = 180 - 62

x = 118

Romeo is using a common algorithm to find the product of 8,125 × 9. Drag the correct numbers to the problem to show the partial products and to complete the multiplication for Romeo.

Answers

Answer:

its harddd

Step-by-step explanation:

rightttttttt

Which geometric model using algebra tiles represents the factorization of x2 – 5x + 6? An algebra tile configuration. 4 tiles are in the Factor 1 spot: 1 is labeled + x and 3 are labeled negative. 3 tiles are in the Factor 2 spot: 1 is labeled + x and 2 are labeled negative. 12 tiles are in the Product spot: 1 is labeled + x squared, 5 are labeled negative x, and 6 are labeled +. An algebra tile configuration. 3 tiles are in the Factor 1 spot: 1 is labeled + x and 2 are labeled negative. 3 tiles are in the Factor 2 spot: 1 is labeled + x and 2 are labeled negative. 11 tiles are in the Product spot: 1 is labeled + x squared, 4 are labeled negative x, and 6 are labeled +. An algebra tile configuration. 3 tiles are in the Factor 1 spot: 1 is labeled + x and 2 are labeled negative. 3 tiles are in the Factor 2 spot: 1 is labeled + x and 2 are labeled negative. 11 tiles are in the Product spot: 1 is labeled + x squared, 4 are labeled negative x, and 6 are labeled +.

Answers

Answer:

Step-by-step explanation:

The factorization of x² - 5x + 6 can be determined thinking critically about two numbers, that if we multiply those two numbers together it will result into a value of +6 and if we add those numbers together , we will have -5

The numbers are -3 and -2 ; if we multiply -3 and -2 , we have = 6

If we add -3 + (-2) ; we have,

-3-2 = -5

Now the factorization of

x² - 5x + 6 = 0 is as follows.

x² - 3x - 2x + 6

By factorization,

x(x - 3) - 2 (x - 3) = 0

(x - 2) or  (x-3) = 0

Now, using An algebra tile configuration. The diagrammatic expression showing how an algebraic tile configuration should looks like can be found in the attached image below.

Hint:

Let represent ,

1   =   x² tile

-5 = - x tiles

6  =  1 tiles

Answer:

The answer is the first tile choice.

Step-by-step explanation:

Which of the following shows the polynomial below written in descending order ?

Answers

Answer:

A. 4x¹¹ + x⁷ + 3x³ - 5x + 9

Step-by-step explanation:

order the exponents from largest to smallest. variables always come first; therefore, -5x before 9

the answer will be A.

5.
Evaluate x(-y + z) for x = 3, y = 3, and z = 1.
10
-8
12
-6

Answers

Answer:

-6

Step-by-step explanation:

x(-y + z)

Let x= 3 y =3 and z =1

3( -3+1)

Parentheses first

3 ( -2)

Then multiply

-6

Answer:

Hello! The answer to your question is -6

Steps will be provided below.

Step-by-step explanation:

This is how to solve your question:

Question:

Evaluate x(-y + z) for x = 3, y = 3, and z = 1.

Answer and how to solve:

The answer is -6 because....

If you do the steps correctly it will be...

Do the Parentheses first.

3x-(2)

Now you just multiply and you will get your answer.

Which will give you -6

SO THE ANSWER TO YOUR QUESTION IS -6

⭐️Hope this helps! :) ⭐️

Have a wonderful day! :D

A movie theater sells up to 10 tickets at a time online. what is the domain of this graph?

Answers

Answer:

i will say c

Step-by-step explanation:

c

Answer:

B. Whole numbers from 0 to 10

Step-by-step explanation:

this is a dot graph, so only those dots, whole numbers of tickets, are valid input, that is, domain of the graph.

Suppose the probability that a randomly selected​ man, aged 55​ - 59, will die of cancer during the course of the year is StartFraction 300 Over 100 comma 000 EndFraction . How would you find the probability that a man in this age category does NOT die of cancer during the course of the​ year?

Answers

Answer:

The probability that a man in this age category does NOT die of cancer during the course of the​ year is 0.997.

Step-by-step explanation:

Suppose the probability of an event occurring is [tex]P_{i}[/tex].

The probability of the given event not taking place is known as the complement of that event.

The probability of the complement of the given event will be,

[tex]1 - P_{i}[/tex]

In this case an events X is defined as a man, aged 55​ - 59, will die of cancer during the course of the year.

The probability of the random variable X is:

[tex]P (X) = \frac{300}{100000}=0.003[/tex]

Then the event of a man in this age category not dying of cancer during the course of the​ year will be complement of event X, denoted by X'.

The probability of the complement of event X will be:

[tex]P(X')=1-P(X)[/tex]

          [tex]=1-0.003\\=0.997[/tex]

Thus, the probability that a man in this age category does NOT die of cancer during the course of the​ year is 0.997.

 Shelby baked 48 cookies with 6 scoops of flower. how many scoops of flour does Shelby need in order to bake 64 cookies? Solve using unit rates.

Answers

Answer:

8 scoops of flour

Step-by-step explanation:

It asks for you to solve using unit rates so we need to find out the rate of how much flour you need to bake a single cookie since the question is about how many scoops of flour Shelby needs to bake 64 cookies.

So first, do 6/48, which is 1/8.

It takes 1/8 scoop of flour to bake one cookie.

Unit rate: 1/8 scoop of flour per cookies.

Now, we can multiply 1/8 by 64 since 64 is the number of cookies Shelby needs and 1/8 is the amount of flour for one single cookies. 1/8 * 64 = 8.

Shelby needs 8 scoops of flour to bake 64 cookies

1) In rectangle ABCD, AE is perpendicular on diagonal BD, BE=3DE and AC∩BD={O}.
1. DE/EO=?
2. If BD=8√2 inches, find out the lenght of AE
3. Calculate the measure of angle AOD.

2) In rectangle MNPQ, MA⊥NQ, A∈NQ, MA∩PQ={B}. If AN measures 12 inches, AQ=27 inches, calculate the lenght of MA and MB.

Please help me with these. Or at least with one of them.

Answers

Answer:

to be honest I'm not sure how to do

Find side AC and round your answer to the nearest hundredth, help please.

Answers

Answer:

Step-by-step explanation:

Side AC is the side opposite the reference angle of 70 degrees while side BC is the side adjacent to the reference angle. AB is the hypotenuse since it is across from (or opposite) the right angle. The trig ratio that uses the sides opposite from and adjacent to the reference angle is the tangent. Setting up to solve for AC:

[tex]tan(70)=\frac{?}{3}[/tex] and

3tan(70) = ? so

? = 8.24

For water to be a liquid, its temperature must be within 50 Kelvin of 323 Kelvin. Which equation can be used to determine the minimum and maximum temperatures between which water is a liquid? |323 – 50| = x |323 + 50| = x |x – 323| = 50 |x + 323| = 50

Answers

Answer:

Mark as BRAINLIEST plz

|x-323|<50: answer

Step-by-step explanation :

For water to be a liquid, the temperature must be within 50 Kelvin of 323 K.

So, the range of the temperature of water will lie between 50 kelvin more than 323 kelvin and 50 kelvin less than 323.

The equation that can be used to determine the maximum temperature at which water is a liquid can be given by :  x < 323 + 50

The equation that can be used to determine the minimum temperature at which water is a liquid can be given by : x > 323 - 50

So the resultant equation can be written as :

|x-323|<50

The solution of inequality equation is  | x - 323 | < 50

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the temperature of the water be = x Kelvin

Now , the equation will be

For water to be in the liquid state, the temperature must be within 50 kelvin (K) of 323 K

So , the value of the temperature of water will lie between 50 kelvin more than 323 kelvin and 50 kelvin less than 323

Substituting the values in the inequality equation , we get

For maximum temperature ,

x should be 50 more than 323 and

For minimum temperature ,

x should be 50 less than 323

So ,

The inequality relation is

x > 50 + 323   be equation (1)

x < 323 - 50   be equation (2)

So , the modulus function is expressed as

It always gives a non-negative value of any number or variable. Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → (0,∞) and x ∈ R.

Therefore , the value is | x - 323 | < 50

Hence , The solution of inequality equation is  | x - 323 | < 50

To learn more about inequality equations click :

https://brainly.com/question/11897796

#SPJ6

In how many ways can 6 commercials be played in 6-time slots in a 1-hour program?

Answers

Answer:

6

Step-by-step explanation:

I think the answer is 6

A local high school has 1250 students in grades 9 through 12. Twenty-eight percent of the students in the school are in the ninth grade. One-half of the ninth-grade students ride the bus to school. How many ninth-grade students ride the bus?

Answers

Answer:175

Step-by-step explanation:

1. Turn 28% into a decima: 0.28

2. Multiply 1250 by 0.28 to get the amount of ninth grade students:350

3. Half the amount of ninth grade students:175

Answer:

The answer is 175

Step-by-step explanation:

Because I read the problem carefully and identified that the explanation is way too long so I am gonna make this short and easy for you. I am correct, just Trust me :)

Please help I been stuck
for the longest

Answers

Answer:

6^5  * 9^5

Step-by-step explanation:

( 6*9) ^5

We know that ( ab) ^c = a^ c* b^c

6^5  * 9^5

Consider the right triangle. Determine whether each equation is correct. Select yes or no for each question.

Answers

Step-by-step explanation:

Given

Opp=8

Adj=6

Hyp=10

Answer

1)Sin<A=Opp/Hyp

8/10=4/5... Yes

2)Cos<A=Opp/Adj

8/6=4/3... No

Given

Opp=6

Adj= 8

Hyp= 10

Answer

1)Sin<B= Opp/Hyp

6/10=3/5... No

2)Cos<B= Opp/Adj

6/8=3/4... No

Hope this helps ❤❤❤

Other Questions
Austria is made up of regions known as Lander, which share power with the central government. What type of government does Austria have? A. _____ can contaminate raw produce; can cause damage to the liver. B. _____ outbreaks have been associated with raw or undercooked eggs and undercooked poultry; can be prevented by thoroughly cooking foods. C. _____ found in the intestinal tracts of cattle; outbreaks have been linked with raw and undercooked ground beef and fresh produce; can be prevented by thoroughly cooking meat. D. _____ found in soil and water; outbreaks have been traced to untreated garlic-and-oil products and improperly canned foods. E. _____ illness from this pathogen can cause diarrhea, nausea, and vomiting; found in contaminated water. The figure shows the location of 3 points around a lake. The length of the lake, BC, is also shown. (Figure is not drawn to scale.) Which of the following options is closest to the distance (in miles) between points A and B? 6.71 miles 7.35 miles 8.66 miles 10.82 miles What was one of the major consequences of the U.S. shift toward a foreignpolicy of dtente?O A. Chinese leaders decided to abandon communism and attack theSoviet Union.B. Poland launched a violent rebellion against its pro-Sovietcommunist government.C. The Soviet Union instituted democratic reforms such asguaranteeing freedom of the press.O D. The United States and the Soviet Union agreed to limit theirnuclear weapons stockpiles. Advances in transportation allow companies to source cheaper raw materials from foreign nations. This decreases the (blank) of production and allows (blank) to manufacture a higher volume of goods. a) A and B are the subsets of a universal set U in which there are n (U) = 54,n (A) = 32, n (B) = 22 and n (AB) = 9.(i) Draw a Venn-diagram to illustrate the above information.(ii) Find the value of n (AUB). Marked price of a pen is Rs 20. It is sold at a discount of 15%. Find the selling price? In order for a dead organisms remains to become fossilized certain conditions must be met. summarize three of these conditions. Read the advertisement. For vim and vigor, drink VitaSip! This amazing new sports drink will make you feel energetic, clear-headed, and ready to face the world. VitaSip is chock full of the vitamins and minerals your body needs for optimum health. Whats more, VitaSip tastes good. So sip your way to better health. Drink VitaSipIts sip-ly delicious! Which revision would make the advertisement more persuasive? A/an ___________ locus of control is related to passivity and learned helplessness and a/an __________ locus of control has been positively related to confidence in ones ability to successfully perform tasks. A. positive, negative B. negative, positive C. external, internal D. internal, external The four-member math team at Pecanridge Middle School is chosen from the math club, which has three girls and five boys. How many different teams made up of two girls and two boys could be chosen? A right triangle has legs with lengths equal to 10 inches and 9x inches. Its hypotenuse measures (x + 10) inches. What is the approximate value of the hypotenuse? 10 inches 10.25 inches 20.25 inches 81 inches please help answer this!!! Identify the key components of the following events and how each led to the Civil War: Missouri Compromise, Compromise of 1850, Fugitive Slave Law, Dred Scott Decision, Kansas-Nebraska Act, Bleeding Kansas, Slavery issue in lands acquired from the Mexican Cession PLEASE HELP! If (x+1) is the factor of polynomial p(x) = ax+x+1, then find a. The mantle of the moon Select one: a. is composed of two layers. b. may have high levels of iron. c. contains the mineral olivine. d. all of the these. Part 1 Household consumption, which accounts for about _______% of the economy, grew at a 4.2% annualized rate during the second quarter of 2016. Part 2 Which component of GDP would cause the largest increase in GDP if it increased by 5% It is sometimes argued that nation should not depend too heavily on other countries for supplies of certain key products. This argument is commonly known as the _______________. Group of answer choices This chart shows US citizens' participation in wartime activities.Citizen Participation in Wartime Activities in the US (Millions of Citizens)Type of participation1916191719181919Active military0.180.842.971.27Total number of employed workers40.141.544.042.3What relationship does the chart show between active military and employed workers?The number of active military increased as the number of employed workers decreased.O The number of active military and employed workers decreased steadily.O The number of active military and employed workers jumped at the same time.O The number of active military decreased as the number of employed workers increased. Which point is a solution to y