Mathematics High School

4. An airplane at T(80,20) needs to fly to both U(20,60) and V(110,85). What is the shortest possible distance for the trip?
165units
170units
97units
169 units
is the answer A?

Answers

Answer 1
The distance formula for two points in a plane is 
D=sqrt( (x1-x2)^2 + (y1-y2)^2 ) 
 From T to U
 D= sqrt((80-20)^2 + (20-60)^2) = 72.11 
 Then flying from U to V
 D= sqrt((20-110)^2 + (60-85)^2) = 93.4 
 So T to U to V = 72.11+93.4 = 165.5 
 BUT checking also T to V to U
 From T to V
 D= sqrt((80-110)^2 + (20-85)^2) = 71.6
 Then from V to U
 D= sqrt((110-20)^2 + (85-60)^2) = 93.4 
 So from T to V to U = 165
 Pretty much the same both directions
 So yes the answer is A

Related Questions

I need help with this one

Answers

This one is false, since A and B are independent events to say the probability of B given A (this is what P(B|A) means) is equal to P(B) and not P(A).

So this is False

n a recent survey of 50 10-year olds, it was discovered that 14 liked both McDonald's and Burger King. Overall, 36 of the children surveyed liked McDonald's and 24 liked Burger King. How many of the children surveyed did not like either restaurant? Please show your statistical thinking to support your answer.,

Answers

Sample size /Universal Set, n(U) = 50 n(McD ∩ BK) = 14 n(McD) = 36 n(BK) = 24 N(McD ∪ BK) = n(McD)+n(BK)-n(McD ∩ BK) = 36+24-14 = 46 46 respondents like either McDonald's or Burger King. Hence number of children that did not like either restaurant = n(U)-n(McD ∪ BK) = 50-46 = 4

There are 18 animals and 40 legs in all so lets see how many cows could be born. 4,8,16,12,24,28,32,36,40. so there could be 9 cows and now lets see on chickens 2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40. so the could be 20 chickens so if u think. i think the ancewer is 30 chickens and 10 cowws thx!!!!

Answers

--------------------------------------
Given information
--------------------------------------
Total animals = 18
Total legs = 40

--------------------------------------
Assumed all are chickens
--------------------------------------
Total legs = 18 x 2 = 36

--------------------------------------
Calculate extra legs
--------------------------------------
40 - 36 = 4

--------------------------------------
Difference in legs between the cow and chicken
--------------------------------------
4 - 2 = 2

--------------------------------------
Find the number of cows
--------------------------------------
4 ÷ 2 = 2

--------------------------------------
Find the number of chickens
--------------------------------------
18 - 2 = 16

--------------------------------------
Answer: 16 chickens and 2 cows
--------------------------------------

Given f(x) =10x-2x find f(7)

Answers

replace x with 7
 10(7) -2(7)

70 - 14

56

f(7) = 56

Complete the synthetic division problem below. What is the quotient in polynomial form?

Answers

The polynomial would be 2x+5.

We bring down the first number inside the box, 2, unchanged.

    _______
-1|  2   7   5
    _______
      2

Now we multiply that 2 by the number outside, -1:
    _______
-1|  2   7   5
          -2     
      2

Now we add the two numbers in the middle column:
    ________
-1|   2   7   5
           -2       
       2   5

Multiply the 5 we brought down by the -1:
    ________
-1|   2   7   5
           -2  -5 
       2   5   

Add the numbers in the last column:
    ________
 -1|   2   7   5
            -2  -5
        2   5   0

The 3 numbers under the box represent the coefficients of x² and x, as well as the constant.  When we finish, we no longer have an x², but start at the next level down, which would be x.  2 would be the coefficient of x and 5 would be the constant, with 0 remainder.

if f(x)=5x-1 thenF-1(x)

Answers

-then F+4x hope it is in your chooses 

Which calculation can be used to find the value of y in the equation y^3 = 27?
y equals 27/3
y equals cube root of 27
y equals square root of 27 divided by 3
y equals square root of 27

Answers

y = cube root of 27
another answer is
y equals square root of 27 divided by 3
Provided it is square root of (27 divided by 3)


Which of the following is the image of A after a rotation of -90° about the origin?

(0, -2)
(0, 2)
(-2, 0)

Answers

A would be located at (0,-2)

Answer:

Option A. (0, -2)

Step-by-step explanation:

In the given graph coordinates of point A are (2, 0).

Now this point is rotated by -90° about the origin, that means rotation has been done clockwise by 90°.

Now after rotation this point A will lie on the negative side of the y-axis and the new coordinates become (0, -2).

Therefore, option A. (0, -2) is the correct option.

helppppppppppppppppp

Answers

Answer:
14.1 in

Explanation:
The equation relating the length of arc, radius of circle and angle is:
S = rθ
where:
S is the length of the arc
r is the radius of the circle = 6 in
θ is the angle in radians = 135 degrees = (135*π) / 180 = 0.75 π radian

Substitute with the givens in the above equation to get the length of the arc as follows:
S = rθ
S = 6 * 0.75π
S = (9/2) π which is approximately 14.1in

Hope this helps :)

PLEASE HELP ASAP!!! WILL GIVE BRAINLIEST!!!

Two florist purchased flower bouquets and vases at the same store. The first florist bought 2 flower bouquets and 2 vases for a total of $12.50. The second florist bought 8 flower bouquets and 2 vases for a total of $29.00.

Let b represent the cost of one flower bouquet and v represent the cost of one vase. Write AND SOLVE a system of equations to find the price of each type of arrangement. SHOW ALL WORK!

THANKS FOR ALL YOUR HELP

Answers

2f + 2v = $12.50
8f + 2v = $29.00

-2f. - 2v = -12.50
8f + 2v = 29.00

6f = $16.50

f= $2.75 each flower bouquet

2(2.75) + 2v = 12.50

5.50 + 2v = 12.50

2v = $7.00

v = $3.50 each vase

(x+10)+(3x+2)=180
What is x

Answers

Hi there!

To solve this problem, we need to simplify.

(x + 10) + (3x + 2) = 180
x + 3x + 10 + 2 = 180

We combine like terms first:
4x + 12 = 180

And isolate x.
4x = 168

Now, we divide both sides of the equation by 4 to solve for x.
x = 168 ÷ 4

x = 42

Hope this helps!
Hi there (: I hope this helps:

Step 1: Simplify both sides of the equation.x+10+3x+2=180(x+3x)+(10+2)=180 (Combine Like Terms)4x+12=1804x+12=180
Step 2: Subtract 12 from both sides.4x+12−12=180−124x=168
Step 3: Divide both sides by 4.4x/4=168/4
x=42

William works at a nearby electronics store. He makes a commission of 6 % 6%6, percent on everything he sells. If he sells a computer for $ 7 6 4 . 0 0 $764.00dollar sign, 764, point, 00, how much money does William make in commission?

Answers

For this case, what we can do is solve the problem using the following rule of three:
   $ 764 ----> 100%
   $ x --------> 6%
 We clear the value of x:
 x = (6/100) * (764)
 x = 45.84 $
 Answer: 
 William makes $ 45.84 in commission

Answer:

x = 45.84 $

late but i need points

Step-by-step explanation:

Tim predicts he will get 98 points on the next exam. If Tim actually earned 62 points, what was Tim's percent error? Round your answer to the nearest tenth of a percent.

Answers

% change= (new # - original #) ÷ original # x 100

original #= 98
new #= 62

% change= (62-98)/98 x 100
= -36/98 x 100
= -0.36734 x 100
= -36.73%

Rounded to nearest 10th of %= -36.7%

CHECK:
= 98 - (98 * 36.73%)
= 98 - (98 * 0.3673)
= 98 - 36
= 62 new #

ANSWER:
Her percent error was 36.7% (rounded to the nearest tenth of a percent). The negative indicates a decrease.

Hope this helps! :)

Answer: 58.1

Step-by-step explanation:

98 - 62 / 62 = rounds to 58.1 Thank me Later..

n quadrilateral LMNO, LO ∥ MN. What additional information would be sufficient, along with the given, to conclude that LMNO is a parallelogram? Check all that apply. ML ∥ NO ML ⊥ LO LO ≅ MN ML ≅ LO MN ⊥ NO

Answers

Answer:  The correct options are

(A) ML ∥ NO,

(C) LO ≅ MN.

Step-by-step explanation:  Given that in quadrilateral LMNO, LO ∥ MN.

We are to select the correct additional information that would be sufficient along with the given information to conclude that LMNO is a parallelogram.

PARALLELOGRAM:  A parallelogram is a quadrilateral if ine of the following conditions are satisfied:

(i) Two pairs of opposite sides parallel

or

(ii) one pair of opposite sides parallel and congruent.

The given condition is

LO ∥ MN.

So, the other additional sufficient condition will be

either the other pair of opposite sides parallel, i.e., ML ∥ NO,

or

the same pair of parallel sides are congruent, i.e,  LO ≅ MN.

Thus, the correct statements are ML ∥ NO and  LO ≅ MN.

Option (A) and (C) are correct.

Answer:

a and c

Step-by-step explanation:

Find two numbers, if
Their sum is 3/5 and their difference is 7 1/5

Answers

Let the numbers be represented by x and y.
.. x + y = 0.6
.. x - y = 7.2
Add these equations to get
.. 2x = 7.8
.. x = 3.9
Then you can find y from
.. y = 0.6 -3.9 = -3.3

The two numbers are -3.3 and 3.9.

Answer:

3.9 and -3.3

Step-by-step explanation:

A bakery bakes 10 cakes per hour & had 3 from the day before. What equation represents this?

A.y = 10x + 3
B.y = 3x + 10
C.y = x + 13
D.y = 13x

Answers

y represents the total number of cakes the bakery make.
x represents the number of hours spent

y = 10x + 3

-----------------------------
Answer: 10x + 3
-----------------------------

39 is 75% of what number

Answers

Hi!

IF 39 is 75%, divide 39 by 3. 

39/3= 13

Multiply that by 4. 

13*4= 52 

39 is 75% of 52. 

Have a nice day! 

A triangular playground has angles with measures in ratio 8: 3: 9 what is the measure of the smallest angle

Answers

8x + 3× + 9x = 180

20x = 180
x = 180/20
x = 9

The smallest angle is: 3×9 = 27 degrees

Note: 180 degrees is the sum of angles in a triangle

Answer:

The measure of the smallest angle is 27°

Step-by-step explanation:

The triangle has angles with measure ratio 8:3:9, so the sizes of the angles are going to change depends on the ratio.

Let’s name the common value as “α”.

Basing on the angle-sum property, we already know that the sum of the angle in a triangle is 180°.

The measure of each one are:

8α, 3α, 9α

The sum of these is 180°.

Then,

8α + 3α + 9α = 180°

Let’s sum similar values:

20α =180°

α= 180°/20

α= 9

Replacing values, we going to find the measure of each angle:

8(9) = 72°

3(9) = 27°

9(9) = 81°

The measure of the smallest angle is 27°

Emily’s pet snake is 5 feet long. Kristen’s snake is 50 inches long. Kristen says her snake is much longer because 50 is so much bigger than 5. Is Kristen right? Why or why not?

Answers

kristen is wrong because 50 inches as feet is 4 feet and 2 inches so therefore emily snake is longer

What is the simplest form of root 3.025

Answers

Answer: √3025

Explanation:

1) By convention if you do not mention the index of the root it is square root.

2) By definition the square root of a number x is the numberwhose square is the original number, i.e.

√3025 = 55 because 55^2 = 3025.

3) 3025 is a perfect square because it is the square of a whole numbe.

4) It is easy to find the square root of a perfect square, but if the number is not easily reknownm as a perfect square you will have to probe with several numbers until finding the square root.

For example, you might easily realize that 50^2 is 2500, and that 60^2 is 3600, so you start testing numbers greater thatn 50 and less than 60 until you get 55^2 = 3025.

5) How can you simplify a radical? If you know the properties of radicals you can simplify a radical easily.

You start by decomposing 3025 into its prime factors.

That will result into:

[tex]3025 =5^2{11}^2[/tex]

Then, by radical properties:

[tex] \sqrt{5^2{11}^2} = \sqrt{5^2} \sqrt{{11}^2} =(5)(11)=(55)[/tex]

So, the simplest form of √3025 is 55.

Which equation finds the value of x in the triangle below?

Answers

we have that

1) cot 70=x/12

Cot 70=[opposite side]/[adyacent side]=x/12

The option 1 is correct

2) cot 70=12/x

Cot 70=[opposite side]/[adyacent side]=x/12

The option 2 is not correct

3)sec 20=x/12

Sec 20 =1/cos20

Cos 20==[opposite side]/[hypotenuse]=12/z

1/(1/cos20)-------> 1/(12/z)------> z/12

The option 3 is not correct

 
4) sec 20=12/x

Sec 20 =1/cos20

Cos 20==[opposite side]/[hypotenuse]=12/z

1/(1/cos20)-------> 1/(12/z)------> z/12

The option 4 is not correct


the correct value is
1) cot 70=x/12



Answer:

A:  cot 70 degrees = x/12

Step-by-step explanation:

on edg... Good Luck!!!

What happens to the surface area of a rectangular prism when each of the dimensions is doubled? (1 point) i?

Answers

The surface area will be 4 times the original size. Here is why: You are doubling each dimension, and area is a 2 dimensional measurement. Because of this whatever you are doing to the length of the side will happen 2 times. In this case it would be x2 x2 which equals 4. You can provide evident by using a cube. The surface area of a cube with side lengths of 1 would be 1 x 6=6 square inches. If you double the side length, it would be 4 x 6= 24 square inches.

Final answer:

The surface area of a rectangular prism increases by four times when each of the dimensions is doubled because surface area scales in proportion to the square of the linear dimensions.

Explanation:

When the dimensions of a rectangular prism are doubled, the surface area of the prism increases by a factor of four. This is because the surface area is proportional to the square of the linear dimensions. If the length, width, and height of the prism are doubled, the new surface area (A') compared to the original surface area (A) is calculated as follows:

A' = 2l × 2w + 2l × 2h + 2w × 2h

A' = 4(lw + lh + wh)

A' = 4A

Thus, if each dimension is doubled, the surface area increases by four times.

Check my answers please?

1. What are the first five terms of the sequence given by the formula a_n=6n+1
a. 7,13,19,25,31
b.1,7,13,19,25
c. 6,12,18,24,30 <---
d.13,19,25,31,37
3. Write an explicit definition for the sequence -3, 1, 5, 9,...
a. a_n=-3+4(n-1)
b. a_n=-3+ 4n <---
c. a_n= -3+(n-1)
d. a_n= -3+4(n+1)

7. what is the 12th term of the sequence 20,16,12,...
a. -30
b. -20
c. -28
d. -24 <----

8. Find the missing term of the arithmetic sequence 20, __, 32,...
a.42
b.18
c.34 <----
d. 36
10. what is the 10th term of the sequences 625,125,25,...
a. 1/3,125
b. 1/

Answers

1. Correct answer is a (since when you are not given the n values, it is implied that the first value is 1). 
3. Correct answer is a (a(n)=-3+4(1-1)=-3).
 7. The pattern is to reduce the previous value by 4, thus the 12th term of the sequence is -24 (a(n)=20 - 4(n-1)=20 - 4(12-1)=-24).
 8. Missing term is 26 (32+20=52; 52/2=26).
 10. Pattern is 625/1=625; 625/5=125; 125/5=25; 25/5=5, thus. the 10th term is 1/3125 (answer a).

Which expression shows a sum of three terms? (1 point)

3x

3 + x

x^3

x + 3 + x

Answers

The last expression shows the sum of three terms. The sum is the amount resulting in addition.

The answer is x + 3 + x

Answer:

x + 3 + x

Step-by-step explanation:

3x :

This is a product of two terms, where x is any variable.

3 + x :

This is sum of two terms,where x is any variable.

x^3 :

This expresses x to the power of three. It can also be written as  (x times x times x ). Thus it is the product of three terms, where x is any variable.

x + 3 + x :

This is the sum of three terms, where x is any variable.

Thus answer is x + 3 + x

helpppppppppppppppppppp

Answers

For this case, the first thing to do is to see the behavior of the function when evaluating some values.
 For the function:
 y = exp (x) -4
 We see that for x = 0 we have:
 y = exp (0) -4
 y = 1-4
 y = -3
 Which is consistent with the graph.
 Answer:
 y = exp (x) -4
 option 4

Lines AB and CD are parallel. If the measure of W equals 129°, what is the measure of X?

Answers

30 is the answer of x

Evaluate the expession. x=12, y=8, z=3 4x-yz

Answers

Given:
 x=12,  y=8, z=3

4x-yz = 4(12) - (8)(3)
4x-yz = 48 - 24
4x-yz = 24

The value of the given expression is 24.

The given expression is 4x-yz.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Put, x=12, y=8 and z=3 in the given expression, we get

4x-yz = 4×12 - 8×3

= 48 - 24

= 24

Therefore, the value of the given expression is 24.

To learn more about an expression visit;

https://brainly.com/question/28170201.

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PLEASE HELP ME ON THIS QUESTION AND DON'T FORGET TO EXPLAIN!!!

Please show ur work and correct answer will get brainliest

Answers

Here is one answer that's possible
f(x) [3rd one down] added to the middle g(x) should give you h(x)
f(x)_down 3 + g(x)_middle_g(X)_second column = -2x + 3 + 7x - 9 Now collect the like terms.
f(x) + g(x) = 5x - 6 which is h(x).

These guys sure believe in reading problems. 
 

Identify the GCF of 10x4y3 − 5x3y2 + 20x2y.

10x2y

10x3y

5x2

5x2y

Answers

The GCF, or greatest common factor, is the greatest positive integer that evenly multiplies to make the numbers in the set. For simple numbers, GCF(12, 80, 44) is 4.

The strategy for expressions with variables is still to factor out the greatest term.

For [tex]10x^4y^3-5x^3y^2+20x^2y[/tex], we look for the largest factor in each term.

For [tex]10x^4y^3[/tex], the largest factors are [tex]x^4[/tex] and [tex]y^3[/tex]. We'll come back to the coefficients in a minute.

For [tex]-5x^3y^2[/tex], the largest factors are [tex]x^3[/tex] and [tex]y^2[/tex]. Now, looking back to the previous term and also considering the coefficients, the largest factor of the two is [tex]5x^3y^2[/tex]. You could rewrite the first term as [tex](5x^3y^2)(2xy)[/tex] and the second term as [tex]-1(5x^3y^2)[/tex].

Now, we consider the last term, [tex]20x^2y[/tex]. The largest factor common to the two other terms is [tex]5x^2y[/tex].

And that's our final answer for the GCF (answer D).
Answer:

The GCF of the given expression is:

                          [tex]5x^2y[/tex]

Step-by-step explanation:

The GCF ( greatest common factor ) is the greatest divisor which divides all the terms completely.

Here we have the expression as:

[tex]10x^4y^3-5x^3y^2+20x^2y[/tex]

Here we see that the factors of the first term are:

[tex]10x^4y^3=2\times 5\times x\times x\times x\times x\times y\times y\times y[/tex]

The factor of the second term is:

[tex]-5x^3y^2=-1\times 5\times x\times x\times x\times y\times y[/tex]

and the factor of the third term is:

[tex]20x^2y=2\times 2\times 5\times x\times x\times y[/tex]

i.e. the factor which is common to all the three terms are:

[tex]5\times x\times x\times y=5x^2y[/tex]

Hence, the GCF is:   [tex]5x^2y[/tex]

The mean weight of five complete computer stations is 167.2 pounds. The weights of four of the computer stations are 158.4 pounds, 162.8 pounds, 165 pounds, and 178.2 pounds respectively. What is the fifth computer station?

Answers

The mean weight of five complete computer stations is 167.2 pounds.

The weights of four of the computer stations are 158.4 pounds, 162.8 pounds, 165 pounds, and 178.2 pounds.

We have to determine the weight of fifth computer station.

Let the weight of fifth computer station be 'x' pounds.

Mean is calculated by sum of all the observations divided by the total number of observations.

So, [tex] \frac{158.4+162.8+165+178.2+x}{5}=167.2 [/tex]

[tex] \frac{664.4+x}{5}=167.2 [/tex]

[tex] {664.4+x}=167.2 \times 5 [/tex]

[tex] {664.4+x}=836 [/tex]

x= 171.6 pounds

The weight of fifth computer station is 171.6 pounds.

Final answer:

To find the weight of the fifth computer station, subtract the sum of the weights of the four given stations from the mean weight.

Explanation:

The mean weight of five complete computer stations is 167.2 pounds. To find the weight of the fifth computer station, we can calculate the sum of the weights of all five stations and then subtract the sum of the weights of the four given stations. The weight of the fifth station can be found by subtracting the sum of the weights of the four given stations from the mean weight.

Sum of the weights of all five stations = 5 * 167.2 pounds

Sum of the weights of the four given stations = 158.4 pounds + 162.8 pounds + 165 pounds + 178.2 pounds

Weight of the fifth station = Sum of the weights of all five stations - Sum of the weights of the four given stations

Learn more about Mean Weight here:

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Which of these is an example of the line marked "Artificial Price"?Farm subsidiesMarket priceMinimum wageRent controls i said farm., Three dice are going to be rolled. What is the probability that the first die rolled is a 1, the second die rolled is a 2, and the third die rolled is a 3? (If necessary, round to the nearest tenth) In the following lines, the author compares a bobolink to a ______________ to describe the liveliness of the bird's song."After the arrival of the thrushes (a type of bird) came the bobolinks (a type of bird), gushing, gurgling, inexhaustible fountains of song, pouring forth floods of sweet notes over the meadows."A. FountainB. SongC. FloodD. Meadow PLZ HELP!!!!!! The assessment for this lesson is to participate in a discussion about composite figures. You will be able to participate in the discussion throughout the unit. You are required to complete the following: 1) Respond to the discussion topic. 2) Respond to your two of your classmates ideas as well. Discussion Topic: What is an example of a composite figure in your home or community? How would you decompose it to find the area? Can you think of another reason that it would be helpful to decompose these figures in addition to making it easier to find the area of the figure? Before participating in the discussion, please review the discussion guidelines and grading rubric used to evaluate your participation. In many european parliamentary systems, prime ministers are elected by __________, whereas in the united states, presidents are elected ___________. quizkit Alcohol is a stimulant or depressant What is the measure of angle B in the triangle?mB= [???]A triangle labeled ABC with angle A: 120, angle B: x [unknown] and angle C as ( x+16).What is the value of X (aka angle B.) When does the confirmation bias occur?A. When an individual only researches information that is consistent with personal beliefs. B. When an individual only makes a decision after all perspectives have been evaluated. C. When an individual becomes more confident in ones judgments after researching alternative perspectives. D. When an individual believes that the odds of an event occurring increase if the event hasnt occurred recently. Classify these elements by whether they get oxidized or reduced in the reactions shown here: 2Ca(s)+ O 2 (g) F 2 (g)+2Li(s) 2CaO(s) 2LiF(s At the climax of the story, Sanger Rainsford has an epiphany about _____. Find the midpoint of side EF. Figure EFGH is shown. E is at negative 2, 3. F is at 1, 6. G is at 4, 3. H is at 1, 0. (1, 4) (0.75, 4.25) (0.5, 4.5) (0.25, 4.75) What resource(s) are interest groups able to use to influence politics? ASAPAnthony spent $11.23 on his lunch while Margo spent $8.96 on her lunch. Anthony paid with a twenty dollar bill and gave a $2.25 tip. How much did Anthony have left from his twenty dollar bill?A.$13.48B.$8.77C.$6.52D.$2.24 After the breakup of the roman empire, many europeans felt tied together by where is 90 percent of earths ice found A patient with metastatic lung cancer is suspected to have malnutrition. the nurse reviews the results of the serum albumin and serum prealbumin laboratory studies. how should the nurse interpret the findings? which are the roots of the quadratic function f(q) = q^2 - 125? check all that apply. A person uses a shared needle to inject a drug and comes in contact with infected blood. Which type of contact is this? What were some factors that led to the Stock Market Crash of 1929? I hope you can see the picture