The required ratio or scale will be 5cm o the map represent 20km on land
Ratio and scalingScaling is a way of enlarging or reducing the figure on an xy-plane. Given the conversion rate;
Given the following
distance between 2 towns is 20km
The distance on map is 5cm. The required ratio or scale will be 5cm o the map represent 20km on land
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Mary measured the heights of two different plants every day. Plant A was 1 inch tall when
Mary began her measuring, and it grew 0.5 inch per day. Plant B was 3 inches tall, and it grew
0.25 inch per day. On which day were plant A and plant B the same height?
A day 5
B.
day 8
C. day 12
D.
day 16
The heights of plant A and plant B will be equal on the day 8.
How to find the heights of the trees?The height of the tree can be found as follows:
The equation for plant A can be described as follows:
y = 1 + 0.5x
where
x = number of days
y = height
The equation for plant B can be described as follows:
y = 3 + 0.25x
Therefore, for the height to be equal
1 + 0.5x = 3 + 0.25x
1 - 3 = 0.25x - 0.5x
-2 = -0.25x
x = 2 / 0.25
x = 8 days
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1. the prices for 6 different jerseys are
$98, $85, $34, $79, $85, and $92.
what is the outlier in the data set?
Answer:
Step-by-step explanation:
8
ramon ate at a restaurant and gave the server a $4 tip the tip was 20% of the cost of the meal how much was the meal
Answer:
The meal was $20
Step-by-step explanation:
20%= 1/5
1/5=4/? ---> one converts to four by multiplying it by 4 so you should do the the same with the denominator which is five.
5×4= 20
i need help finding out the answer
Answer:
D) 5.7 cmStep-by-step explanation:
Let the shorter sides be x.
Given:Isosceles and acute triangle.Longer side is 8 cm.To find:The length of the shorter sides, rounded to the nearest tenth.Solution:The angle at common vertex of congruent sides is less than 90°, since it is acute triangle.
It means the other congruent angles are greater than 45°, according to angle sum theorem.
The vertical bisector divides the triangle in half, with base 8/2 = 4 cm and hypotenuse x.
It gives us the inequality:
4/x < cos 45° ⇒ x > 4 / cos 45° = 5.656 x ≥ 5.7 cmCorrect choice is D
4 x 12 = 6 x n 4
6
8
12
Answer:
2 I believe
Step-by-step explanation:
you do 4x12 then divide it by 6x4 then it would be n equals 2
find the 5th term of the GP is 48 and it 8th term is 384. find the first term and the common
Answer:
[tex]\text{1st term} = 3\\\\\text{Common ratio} = 2[/tex]
Step by step explanation:
[tex]\text{Given that,}\\\\\text{5th term} = ar^{5-1} = ar^4 = 48~~~~~~~~...(i)\\ \\\text{8th term} = ar^{8-1} = ar^7 = 384~~~~~~~...(ii)\\\\\text{1st term,}~ a = ?\\\\\text{Common ratio,}~ r = ?\\\\(ii) \div (i):\\\\~~~~~~\dfrac{ar^7}{ar^4}=\dfrac{384}{48}\\\\\implies r^{7-4} = 8\\\\\implies r^3 = 8\\\\\implies r^3 = 2^3\\\\\implies r =2\\\\\text{Substitute r = 2 in eq (i):}\\\\~~~~~~a\cdot 2^4 = 48\\\\\implies 16a =48\\\\\implies a = \dfrac{48}{16}\\\\\implies a = 3\\[/tex]
The angle by which turns clockwise about point b to coincide with is degrees. if from point b, a point e is drawn directly opposite point c so that b, e, and c are on the same straight line, the angle by which turns counterclockwise to coincide with is degrees.
The first drop-down menu answer is 63.9 And the second drop-down menu answer is 116.1
The complete question is as given below:-
The angle by which turns clockwise about point B to coincide with is degrees. If from point B, a point E is drawn directly opposite point C so that B, E, and C are on the same straight line, the angle by which turns counterclockwise to coincide with is degrees.
What is an angle?The angle is defined as the span between two intersecting lines or surfaces at or close to the point where they meet.
I have attached the figure for this problem and there are two questions for this problem. The first is the angle needed for AB to turn to coincide with BC.
Simply, get add the measures of the angles ABD and DBC. So,
33.3 + 30.6 = 63.6 degrees
The second question is the angle needed for AB to turn to coincide with EB. Angle EBA is complementary with angle ABC. So,
180 - 63.6 = 116.4 degrees
Therefore for first drop-down menu answer is 63.9 And the second drop-down menu answer is 116.1
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Answer:
90
Step-by-step explanation:
90
A dishwasher was advertised at $640 with a further $175 for installation. Calculate the total purchase and installation costs if the cost of the dishwasher (excluding installation) is reduced by 18% due to minor scratching.
Answer:
$699.80
Step-by-step explanation:
$640 - 18% = 524.80
(640x18)/100 = 115.20
640-115.20 = 524.80
524.80+175 = 699.80
Answer:
$699.80
Step-by-step explanation:
640(18%)
640 x 18
100
reduce fraction
640 x 9
50
simplify
64 x 9
5
576
5. or 115 1
5. of 115.20
640 - 115.20 = 524.80 (dishwasher)
524.80 + 175 = 699.80 (total including installation)
The sum of 3 times one number, x, and 6 times a second number, y, is 111. If the sum of the two numbers is 27, find the two numbers.
Enter a system of equations to represent the situation, then solve the system.
Step-by-step explanation:
using elimination method because this is a simultaneous equation
3×x+6×y=111
x+y=27
1×[3x+6y=111]
3×[x+y=27]
3x+6y=111—equation 1
3x+3y=81—equation 2
substrate equation 1 from equation 2
3y=30
divide both sides by 3
y=10
substitute 10 for y in equation 1
3x+6y=111
3x+6(10)=111
3x+60=111
3x=111-60
3x=51
divide both sides by 3
x=17
Please help! 30 points!
Answer:
it would be a vertical shift of 5 down
Step-by-step explanation:
I'm learning the same thing rn and that's right
If 50% of all federal inmates are serving time for extortion and a random sample of 16 federal inmates is selected, then what is the expected number of inmates serving time for extortion? A)
18 B)12 C) 9 D) 8
A force F, of 25 newtons pulls at an angle of 20° above due east
A force F₂ of 35 newtons pulls at an angle of 55° below due west
Find the magnitude and direction of the resultant force
A force F, of 25 newtons pulls at an angle of 20° above due east
A force F₂ of 35 newtons pulls at an angle of 55° below due west
Find the magnitude and direction of the resultant force
An equation in the form ax2+bx+c=0 is solved by the quadratic formula. The solution to the equation is shown below.x=−7±√ "572" What are the values of a, b, and c in the quadratic equation?
A: a= 1, b= -7, c = -2
B: a = 1, b= 7, c = -2
C: a = 2, b = -7, c = -1
D: a = 2, b = 7, c = -1
Question has errors in typing that 572 should be √57/2
Because if it's 572 then 2a=1 so
a=1/2Also
-7=1/2bb=-7(2)b=-14c also comes different
If it's like what I said
then
2a=2a=1and
-b=-7b=7By putting values
c=-2Option B can be correct
Answer:
B: a = 1, b= 7, c = -2
Step-by-step explanation:
Quadratic Formula
[tex]x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when}\:ax^2+bx+c=0[/tex]
Given:
[tex]x=\dfrac{-7\pm\sqrt{57}}{2}[/tex]
Comparing the terms of the given x-value with those of the quadratic formula:
[tex]\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}=\dfrac{-7\pm\sqrt{57}}{2}[/tex]
Therefore:
[tex]2a=2 \implies a=1[/tex][tex]b = 7[/tex][tex]b^2-4ac=57[/tex]Using the found values of a and b to solve for c:
[tex]\implies b^2-4ac=57[/tex]
[tex]\implies (7)^2-4(1)c=57[/tex]
[tex]\implies 49-4c=57[/tex]
[tex]\implies -4c=57-49[/tex]
[tex]\implies -4c=8[/tex]
[tex]\implies c=-2[/tex]
In summary: a = 1, b = 7, c = -2
[tex]\implies x^2+7x-2=0[/tex]
Therefore, option B is the correct solution.
Graph the function f(x) = 5(0.21)x.
Answer: A
Step-by-step explanation: BIG BRAIN
6x-2=8x-8 please i forgot how you do this
Answer:
x = 3
Step-by-step explanation:
6x - 2 = 8x - 8 ( subtract 8x from both sides )
- 2x - 2 = - 8 ( add 2 to both sides )
- 2x = - 6 ( divide both sides by - 2 )
x = 3
Answer:
x=3
Step-by-step explanation:
determine whether sec x -tanxsinx=cosx is a possible identity
[tex]\text{L.H.S}\\\\\sec x - \tan x \sin x\\\\\\=\dfrac{1}{\cos x}- \dfrac{\sin x }{ \cos x } \cdot \sin x\\\\\\=\dfrac 1{\cos x} - \dfrac{\sin^2 x}{\cos x}\\\\\\=\dfrac{1- \sin^2 x}{\cos x}\\\\\\=\dfrac{\cos^2 x}{\cos x}~~~~~~~~~~~~~;[\sin^2 x + \cos^2 x = 1]\\\\\\=\cos x\\\\\\=\text{R.H.S}\\\\\text{Since both sides are equal, the given equation is an identity.}[/tex]
Enzymatic browning, the darkening of cut fruit when exposed to the air, can be lessened by
a. cooking the fruit
b.dipping the fruit in a juice rich in vitamin c
c. freezing the fruit
d.dipping the fruit in chocolate
Which rule describes the relationship between the x- and y-coordinates in the following table?
Y
1
6
4
15
6
21
Choose 1 answer:
A
Multiply by 6 to get y.
B
Multiply by 3. Then add 3 to the result to get y.
8
Answer: B
Step-by-step explanation:
We will test the options and see if they apply to the given values.
[A] ✗
1 * 6 = 6 ✓
4 * 6 ≠ 15✗
[B] ✓
1 * 3 = 3, 3 + 3 = 6 ✓
4 * 3 = 12, 12 + 3 = 15 ✓
6 * 3 = 18, 18 + 3 = 21 ✓
[C] ✗
1 * 8 = 8, 8 - 2 = 6 ✓
4 * 8 = 32, 32 - 2 = 30, 30 ≠ 15 ✗
( geometry) Find the area of a regular hexagon whose sides are 22.6 cm, and whose apothem is 19.6 cm.
Answer:
1328.88 cm^2
Step-by-step explanation:
Area = 6 * 1/2 * 22.6 * 19.6
= 1328.88 cm^2
Part b
what is the area of the target that earns at least 30 points on a throw?
select the correct from the drop-down menu.
the area is ____ square inches.
a) 16
b) 49
c) 121
d) 144
a letter is chosen from the nine letters in the word "bumblebee." what is the probability the letter is a b or an e?
statistics and probability
Answer:
2/3
Step-by-step explanation:
Probability (b or e) :
⇒ There are 3 b's and 3 e's in the word "bumblebee"
⇒ P (b or e) = No. of b's and e's / Total letters
⇒ P (b or e) = 3 + 3 / 9
⇒ P (b or e) = 6/9
⇒ P (b or e) = 2/3
multiply (x^2 - 5x)(2x^2 + x - 3)
Answer:
[tex]\textbf{C.}~2x^4 -9x^3-8x^2 +15x[/tex]
Step-by-step explanation:
[tex]~~~~(x^2 -5x)(2x^2 +x-3)\\\\=2x^4+x^3 -3x^2 -10x^3 -5x^2 +15x\\\\=2x^4 -9x^3-8x^2 +15x[/tex]
Jamaal and his father have 1,920 stamps from around the world. They want to place the stamps in display cases that each hold 72 stamps. How many display cases can Jamaal and his father completely fill with the stamps?
Answer:
26 display cases
Please give brainliest!
Hope this helps :)
if Jamaal has 1920 stamps, and he wants to place them in diplay cases that can each hold 72 stamps, we figure out how many display cases can be filled with stamps by finding out 1920/72
This gives us 26 2/3, but 2/3 isn't 1.
he can fill 26 cases
Please help
Why is this not an equilateral triangle?
The given shape in the image is not an equilateral triangle.
What is an equilateral triangle?The triangle with all three sides equal and all the angles equal is called an equilateral triangle.
In the given figure we can see a triangle this triangle is not an equilateral triangle because the figure is formed between a square grid now if you see closely the base of the triangle can not be equal to the two sides of the triangle.
Because these two sides are the hypotenuse for the remaining right-angle triangle. So the base of the highlighted triangle can not be equal to the other two sides of the triangle.
Therefore given shape in the image is not an equilateral triangle.
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Solve for x. 3x/−8=−2/14
Answer:
4.14
Step-by-step explanation:
3x : -2
-8 14
cross multiply
3x × 14 : -2 × 8
42 + 14x : -16
42+ 16 : 14x
58 : 14x
58 : x
14
4.14 : x
Question 10 of 20
Which polynomial shows the difference of (4x² + 3x - 2) and (x²+2x+4)?
OA. 3x²+x-8
B. 3x²+x+2
OC. 3x² + 5x+2
OD. 3x²+x-6
Answer:
D.3x²+x-6
Step-by-step explanation:
4x²-x²+3x-2x-2-4
3x²+x-6
solve 2(4x-3) = 5(2x-5)
Answer:
x = 19/2 or 9.5
Step-by-step explanation:
Hello!
We can distribute the parenthesis and solve.
Solve2(4x - 3) = 5(2x - 5)2(4x) - 2(3) = 5(2x) - 5(5)8x - 6 = 10x - 25Move all x terms to one side and integer terms to the other
8x - 6 = 10x - 25-6 + 25 = 10x - 8x19 = 2xx = 19/2x = 9.5Saif is building a rectangular pen for his dog. the dimensions are 15 units long and 7 units wide. saif is building a second pen that is 75% the length of the original and 125% the width of the original. write an equation to determine the length of the second pen. what is the length of the second pen? . .
The length of the second pen is 11.25 units.
What is a Rectangle ?A rectangle is a polygon with four sides , the opposite sides are parallel and equal .
it is given in the question that
Saif is building a rectangular pen for his dog. the dimensions are 15 units long and 7 units wide
length new = 75% length initial
Length new = (75/100) * 15
Length new = 0.75 * 15
Length new = 11.25 units
The length of the second pen is 11.25 units.
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Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter. X = t5 1, y = t6 t; t = −1
The equation of the tangent to the curve at the point corresponding to the given value of the parameter will be x + y = c.
How to calculate the tangent of the parameter curves at a point?The curves are given below.
x = t⁵ + 1 and y = t⁶ + t
Then differentiate the functions with respect to t, then we have
[tex]\rm \dfrac{dx}{dt} = 5t^4\\[/tex] ...1
and
[tex]\rm \dfrac{dy}{dt} = 6t^5 + 1[/tex] ...2
Divide equation 2 by equation 1, then we have
[tex]\rm \dfrac{\dfrac{dy}{dt} }{\dfrac{dx}{dt} } = \dfrac{dy}{dx} = \dfrac{6t^5 + 1}{5t^4}[/tex]
Then the slope of the equation at t = −1, then we have
dy/dx = [6(-1)⁵ + 1]/[5(-1)⁴]
dy/dx = (-6+1)/5
dy/dx = -5/5
dy/dx = -1
Then the equation of the tangent line will be
y = -x + c
x + y = c
Where c is a constant.
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Part 1: Come up with and describe two scenarios: one that models a direct variation situation and one that models an inverse variation situation. Do not state explicitly which scenario is which, but provide at least four data pairs for each situation. Your classmates will have to determine which of the scenarios is a direct variation and which is an inverse variation, and the value of k for each.
Answer:
1. I went to a store four days in a row and only bought chocolate bars each day. All chocolate bars were the same and cost the same. On the first day, I bought 2 chocolate bars for $2.38. On the second day I bought 1 chocolate bar for $1.19. On the third day, I bought 10 chocolate bars for $11.90. On the fourth day, I bough 4 chocolate bars for $4.76.
2. A sink is full. It contains 20 gallons of water. The stopper is removed and water starts draining out. One minute after the stopper is removed, the volume of water in the sink is 18 gallons. Two minutes after the stopper is removed, the volume of water in the sink is 16 gallons. Four minutes after the stopper is removed, the volume of water in the sink is 12 gallons. Ten minutes after the stopper is removed, the sink is empty.