Frances walks 15 km west, then turns 90 degrees north and walks 30 km.

Displacement = ?
Distance = ?

Answers

Answer 1
Distance and displacement are 45 km

Related Questions

12. The base angles of an isosceles triangle are represented by (5x + 10) and 50°. Find x. ​

Answers

Answer:

x = 8

Step-by-step explanation:

Base angles of isoceles triangle are equal

5x + 10 = 50

5x = 40

x = 8

PLEASE HELP WILL GIVE BRAINLIEST!!!

Answers

Answer:

angle U ( the third option down)

Step-by-step explanation:

The answer is A hope this helps

Which equation for a line with a slope of -3 and a y intercept of 4? Multiple Choice Answer: y=-4+3, y= - 3/4x+4, y=-3x+4, y= - 4\3x-3. HElP QUICKLY

Answers

y=-3x+4

dedont be suspicoes

A MOP TO CLEAN CULO

c

c

c

c

c

Ted has the following triangle dimensions.

side length of 8

side length of 14

side length of 23

How many triangles can he construct?
He can construct only one triangle.
He can construct two triangles.
He can construct three triangles.
He cannot construct a triangle.

Answers

Answer:

He cannot construct a triangle

Step-by-step explanation:

In order to construct a triangle the two shorter sides added together have to be greater than the longest side if that makes sense

So basically 8+14 has to be greater than 23 in order for it to be side lengths of a triangle

8+14=22

22 is not greater than 23 therefore he cannot create a triangle

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Step-by-step explanation:

its D :)

−2x+y=0, −7x+3y=2 adding

Answers

Answer:

X= -2, y=-4

Step-by-step explanation:

hard to explain it

Example :

3X+4 X=2

3(2)+4

6+4

10



1. 2X-5 X= 7

2. X2 - 15 X= 5

3. X/9 +6 X = 81

4. 8X -4. X = 13

Answers

Answer:

1) 9

2) -5

3) 15

4) 100

those are the answers

9514 1404 393

Answer:

91015100

Step-by-step explanation:

As in the example, put the value where the variable is and do the arithmetic.

1. 2·7 -5 = 9

2. 5^2 -15 = 10

3. 81/9 +6 = 15

4. 8·13 -4 = 100

Your calculator can do the math.

4 points
4.) How could we determine who has the greater total change in the
amount of juice in their carton?
Felicia pours juice from a carton into a glass. Every time she fills the glass, the
amount of juice in the carton changes by -0.44 L. She fills her glass 2 times in
all. Bernadette has a different carton of juice that is the same size. Every time she
fills her glass, the amount of juice in her carton changes by -0.42 L. She fills her
glass 2 times in all. Who has
the greater total change in the amount of juice in
their carton?

A. 2 3/4 multiplied by (-0.44) and 2 2/3 multiplied by (-0.42)

B. 2 3/4 divided by -0.44 and 2 2/3 divided by -0.42​

Answers

Answer:

A is the answer you sent on the question on carton

Your friend Mel says he has an easier way to solve this problem. Here are the first steps in his method.

First, isolate all of the x-terms on the left side. This leaves a constant on the right that isn't equal to 0.

Factor the GCF out of the terms on the left side.

If there's a whole-number factor on the left side, divide both sides by that number. Notice that after you do this, one factor on the left is just x.
Apply Mel's steps to your equation in question 1. (5 points)

The original equation is 2x^2 +6x+4=24 ft.^2

Answers

Simplifying

2x2 + 6x + 4 = 24

Reorder the terms:

4 + 6x + 2x2 = 24

Solving

4 + 6x + 2x2 = 24

Solving for variable 'x'.

Reorder the terms:

4 + -24 + 6x + 2x2 = 24 + -24

Combine like terms: 4 + -24 = -20

-20 + 6x + 2x2 = 24 + -24

Combine like terms: 24 + -24 = 0

-20 + 6x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.

2(-10 + 3x + x2) = 0

Factor a trinomial.

2((-5 + -1x)(2 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying

-5 + -1x = 0

Solving

-5 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '5' to each side of the equation.

-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0

0 + -1x = 0 + 5

-1x = 0 + 5

Combine like terms: 0 + 5 = 5

-1x = 5

Divide each side by '-1'.

x = -5

Simplifying

x = -5

Answer:

Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

-5 + -1x = 0

-5 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0

0 + -1x = 0 + 5

-1x = 0 + 5

Combine like terms: 0 + 5 = 5

-1x = 5

x = -5

Step-by-step explanation:

Kim was sitting in row 5, seat 8 at a soccer game when she discovered her ticket was for row 2, seat 3. Write a rule to describe the translation needed to put her in the proper seat.

Answers

Answer:

Step-by-step explanation:

We can assume we are seeing these seats as points on a graph with her current position being (8, 5) and her destination being (3, 2). Using these values Kim would need to follow the following rules...

Move 3 positions down to point/seat (8, 2)

Move 5 positions to the left to point/seat (3,2)

Following these instructions, she would correctly transition to the correct seat.

the distance an asteroid travel is directly proportional to the amount of time it travels if an asteroid travels 112,000 miles in 2 hours how far will it travel in 24 hours

Answers

Answer:

1,344,000

Step-by-step explanation:

since 2 hours have gone by divide 112,000 by 2 you will get 56,000 meaning the asteroid is going 56,000 Miles Per Hour now Multiply 56,000(MPH) by 24 (Hours)

You're Answer: 1,344,000

A sports tournament has d teams. Each team has 15 players. Using d, write an expression for the total number of players in the tournament.

Answers

Answer:

d x 15=total players.

Step-by-step explanation:

dx15=total number of players in the tournament.

Answer:

15d

Step-by-step explanation:

If there are d teams and 15 people in each team d x 15 = 15d

Please answer 1-5.ASAP.

Answers

Answer:

Step-by-step explanation:

1) Function: y = 5x - 2

2) Slope: 1/2     Y-Int: 4

3) Function: y = 6

4) Slope: -4     Y-Int: 1

5) Function: y = -2x/3

Answer:

Step-by-step explanation:

(1). y = 5x - 2

(2). m = [tex]\frac{1}{2}[/tex] , b = 4

(3). y = 6

(4). m = - 4 , b = 1

(5). y = - [tex]\frac{2}{3}[/tex] x

Ruben adds some water to a glass of juice. The ratio of water to juice in his glass in now 4:6. Which fraction below represents this ratio? A 3/5 C 2/3 B 3/2 D 2/5​

Answers

Answer:

C

Step-by-step explanation:

since we're being told to convert the ratio to fraction then it is C. note that 4 ratio is also the same as dividing 4 by 6

Is -6 a solution for the equation 3(2x - 8)= -4(-6 +21)?

Answers

Answer:

YeS, it is a solution

Step-by-step explanation:

Here, we want to check if -6 is a solution to the question

What we have to do is to replace x by -6

If what we have on the left equals that on the right, then -6 is a solution

Thus, we have it that;

3(2(-6) -8)

= 3(-12-8)

= 3(-20) = -60

for the right hand side

-4 (15) = -60

This means both sides are equal and that -6 is a solution

Solving Logarithmic Equations

Identify the solution set of 3 In 4 = 2 In x.
o {6}
O {-8, 8}
o {8}
DONE
(8)

Answers

Answer:

Step-by-step explanation:

3ln(4) = 2ln(x)

ln(4³) = ln(x²)

4³ = x²

(2²)³ = x²

2⁶ = x²

x = ±√2⁶ = ±2³ = ±8

However, the argument of a logarithm must be positive, so x=8.

The solution set of the equation is {8, -8}, but we can discard the negative solution as it is not physically meaningful in this context. So, the final solution set is {8}. Option D is correct.

To solve the equation, we can use the logarithmic identity that states:

n * log(a) = log(aⁿ)

Using this identity, we can rewrite the equation as:

In(4³) = In(x²)

Simplifying both sides using the natural logarithm properties, we get:

In(64) = In(x²)

Taking the exponential of both sides, we have:

[tex]e^{In 64} = e^{In x^2}\\64 = x^2[/tex]

Taking the square root of both sides, we get:

x = ±8

However, we must check if either of these solutions makes the argument of the natural logarithm negative, which is not allowed. Since the argument of the natural logarithm is positive for both x = 8 and x = -8, both solutions are valid.

Therefore, the solution set of the equation is {8, -8}, but we can discard the negative solution as it is not physically meaningful in this context. So, the final solution set is {8}.

Learn more about logarithmic function here:

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make p the subject of the formula A=p+prt÷100​

Answers

Answer:

p = a - prt x 100

Step-by-step explanation:

a = p + prt ÷ 100

a - prt = p ÷ 100

a - prt x 100 = p

Hope this helps. :)

please help me with this and explain. It’s due in a bit :/

Answers

Answer:

choice D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

they have similar angles and similar sides, and the description choice D gives is also correct

50 points
Help if you know.
Thanks.

Answers

Answer:

Rhombus

Step-by-step explanation:

Refer to attached

You can easily calculate that each of the sides have the length:

AB= BC = CD = AD = [tex]\sqrt{1^2+4^2} = \sqrt{17}[/tex]

Parallel sides have equal slopes:

m = - 4 for AB and CDm = - 1/4 for AD and BC

Diagonals are perpendicular as their slopes are negative reciprocal:

m = 1 for ACm = -1 for BD

So we see the quadrilateral ABCD has two pairs of parallel sides, all sides are equal and the diagonals are perpendicular.

This is the definition of the rhombus.

Find the volume of a pyramid with a square base, where the perimeter of the base is
17 cm and the height of the pyramid is 15 cm. Round your answer to the nearest
tenth of a cubic centimeter.

Answers

Answer:

90.3125 cm³

Step-by-step explanation:

Since the perimeter of the bottom square is 17, you can divide by four to find out what the lenght of each side is.

17/4=4.25 cm

We know the height of pyramid is 15 cm

The formula for the volume of a square pyramid is

V=a²(h/3)

V=a2(h/3)=4.252·15/3=90.3125 cm³

A rectangle has a length of 7 cm and a width of (3x+4)cm. Which expression represents the perimeter?

Answers

7 + (3x + 4) represents the perimeter

Answer:

2{7 + (3x + 4)} represents the perimeter of the rectangle

Roland bought 6 tickets for him and his family to attend the high school basketball game. He bought a combination of student tickets for $3 each and adult tickets for $5 each. If he spent a total of $24 on the tickets, which system of equations could be used to find the number of student tickets, x, and the number of adult tickets, y, he bought?

Answers

Answer:

RM 21 for student and for adults

ITS A ANGLE QUESTON PLS HELP

Answers

This is a right angles triangle

(6x6)/2

18

Hope this helps :>From CambridgePlease give brainliest

Answer:

18 cm²

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 6 and h = 6 , then

A = [tex]\frac{1}{2}[/tex] × 6 × 6 = 3 × 6 = 18 cm²

need help again... asap

Answers

Answer:

9/41

Step-by-step explanation:

cos=adjacent/hypotenuse

adjacent=9

hypotenuse=41

Write the equation of a circle that has a diameter of 12 units if its center is at (4,7).
PLZ HELP ASAP! I will give you BRAINLIEST

Answers

9514 1404 393

Answer:

  (x -4)^2 +(y -7)^2 = 36

Step-by-step explanation:

The equation of a circle with radius r and center at (h, k) is ...

  (x -h)^2 +(y -k)^2 = r^2

When the diameter is 12, the radius is 6 (half the diameter). Then for your center point, the equation is ...

  (x -4)^2 +(y -7)^2 = 36

Wayne is hanging a string of lights 45 feet long around the three sides of his patio, which is adjacent to his house. The length of his patio, the side along the house, is five feet longer than twice its width. Find the length and width of the patio.

Answers

Answer:

The length and width of the patio are 18¹/₃ feet and 6²/₃ feet respectively.

Step-by-step explanation:

Let L and W be the length and width of the patio respectively. Since the patio is a rectangle, its perimeter, P = 2(L + W). This perimeter equals the length of string of lights which is 45 ft.

Now, the length of his patio, the side along the house, is five feet longer than twice its width implies that L = 2W + 5.

Substituting L into P, we have

P = 2(L + W)

= 2(2W + 5 + W)

= 2(3W + 5)

= 6W + 5

Since P = 45 feet,

6W + 5 = 45

6W = 45 - 5

6W = 40

W = 40/6

W = 20/3 feet

W = 6²/₃ feet

Since L = 2W + 5, substituting W = 20/3 into L, we have

L = 2W + 5

= 2(20/3) + 5

= 40/3 + 5

taking the L.C.M, we have

= (40 + 15)/3

= 55/3 feet

= 18¹/₃ feet

So, the length and width of the patio are 18¹/₃ feet and 6²/₃ feet respectively.

find the mean of the given data. 147 141 120 124 128

Answers

147 + 141 + 120 + 124 + 128=660
660/4 =132
hope that helps xo
(147+141+120+124+128) / 5 = 132 :^)

I divided by 5 because there are 5 items in the set of data.

Hope this helped!!

complete the square to solve 3x^2+12x=9
A. x=3+√6
B. x=2+√7
C. x=-2+√7
D. x=-2+√13

Answers

Use the formula
(
b
2
)
2
(
b
2
)
2
in order to create a new term. Solve for
x
x
by using this term to complete the square.
Exact Form:
x
=
±

7

2
x
=
±
7
-
2
Decimal Form:
x
=
0.64575131

,

4.64575131

Step-by-step explanation:

3 {x}^{2} + 12x - 9 = 0

[tex] \frac{ - (12) \binom{ + }{ - } \sqrt{ {12}^{2} - 4(3)( - 9)} }{2(3)} [/tex]

The graph of f(x) = 1/x has been transformed to create the graph of g(x) = a/x

What is the value of a?
2
-3
3
-2

Answers

Answer:

2/x

Step-by-step explanation:

The easy way:

take point (2,1) on graph g

subst the values into g(x)=a/x

1=a/2

a=2

thus -> 2/x

The value of a is 2 for the transformed function g(x) = a/x.

What is a graph?

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The value of a is calculated as,

Take point (2,1) on graph g and substitute the values into g(x)=a/x

1=a/2

a=2

Therefore, the value of a is 2 for the transformed function g(x) = a/x.

To know more about graphs follow

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What is the area of rectangle CDEF?ILL GIVE BRAINLIEST

Answers

Answer:

180 is the answer

Step-by-step explanation:

To find out areas of rectangles, you have to count the left side of the rectangle which is (12) and then count the bottom of the rectangle which is (15)

Then multiply 12 times 15 to find out the area

15 x 12= 180

what do you mean CDEF

and can I get brainliest?

hey I'm chloe can you help me, i will give Brainlest, Thank you :)
Cylender A has a radius of 4 inches and height of 2 inches. Cylinder B has a radius of 2 inches. What is the height of cylinder B if both cylinders have the same volume?

Answers

Answer:

Cylinder B: The height would be 8 inches.

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

V = A * h

CA = 4² = 16 * 2 = 32π

CB = 2² = 4 * 8 = 32π

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