To draw a scaled copy of the polygon using a scale factor of 1/3, just multiply the given sides of the polygon with 1/3 and the outcome is the new polygon with a scale factor of 1/3.
What is a scale factor?You shall specify the extent of the shape's enlargement when describing one. The scaling factor refers to this. A scale factor of 2, for instance, indicates that the new shape is twice as large as the previous shape.
The size of the shape reduces when the scaling factor is a fraction, yet we still refer to this as an enlargement. A scale factor of 1/4 therefore indicates that the new shape is 1/4 as large as the old one.
Make sure you never confuse the scale factor. One might mistake a scale factor of 2 for a scale factor of 12, or a scale factor of 4 for a scale factor of 14.
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Which is the graph of the system of equations y = 3x + 6 and y = 3x +1?
Answer:
See the picture attached. The purple line is y=3x+6 and the red line is y=3x+1.
Step-by-step explanation:
When graphing lines, start with the y-intercept and then use the slope to plot points to help you draw the line.
The equations are in y=mx+b form, where mx is the slope and b is the y-intercept. To get the points, plug in a number where x is. Whatever result you get is the y coordinate for that number.
For example, on the graph in the picture 3(1)+1 = 4. Using that, you would plot the point (1,7).
Hope that makes sense!
Janet has $25.37 in her bank account. She decides to purchase a video game online which costs $49.99. The bank will automatically withdraw money from her account. How much money will Janet owe the bank?
Answer:
She will owe the bank $24.62
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A bag contains 5 blue, 8 yellow, and 7 purple marbles. If a marble is selected at random, what it the P(not yellow)?
the answer its 12.5% i swer its ok and hope helps you
Ann is 10.5 years old. Marco is 11and 7/11 years old. How many years older is Marco than Ann?
Answer:
I think 22 but not really sure
Step-by-step explanation:
What is the magnitude (size) of 6.8?
O A. 68, because |6.8| = 68
O B. -6.8, because |6.8| = 6.8
C. 6.8, because |6.8|= 6.8
O D. 6.8, because |6.8| = -6.8
Answer:
C. 6.8, because |6.8|= 6.8
Step-by-step explanation:
The magnitude of a directed number is a property that turns the number to a positive of its value. Thus, the magnitude of a negative number equals its positive value. Examples:
Find the magnitude of the following numbers:
i. -20
ii. 10
iii. -5
iv. 2
The magnitudes of the numbers can be expressed as:
i. |-20| = 20
ii. |10| = 10
iii. |-5| = 5
iv. |2| = 2
Therefore, the magnitude of 6.8 = 6.8, because |6.8|= 6.8.
Solve for x x^2-2x+1=0
Answer:
x=1
Step-by-step explanation:
By factoring, you'll compress the equation to (x-1)^2=0
Next take out the square: x-1=0
Now subtract one to the other side to get x! x=1
Hope this helps! :)
Please help me with 7
Answer:
Third choice, 7/25
Step-by-step explanation:
14 + 11 + 10 + 15 = 25 + 25 = 50, they also already stated this in the question so u don't have to calculate this
14 out of 50 students voted for nicholas, so it's a 14/50 chance, simplified would be 7/25
The Canadian $2 coin has a copper centre surrounded by a ring of nickel. The diameter of the coin is 2.8 cm. The area of the copper centre is 2.0 cm2 . What is the area of the nickel ring
Answer:
6.0 cm²Step-by-step explanation:
Area of the coin:
[tex]A_c = d\pi\\\\A_c = 2.8\pi\approx8.8\ cm^2[/tex]
So area of the ring:
A = 8.8 - 2.0 = 6.0 cm²
Answer:
4.15
Step-by-step explanation:
d = 2.8cm, a = 1.4cm
a = πr2
a = 3.14 * 1.42
a = 3.14 * 1.96
a = 6.15cm2
6.15 - 2 = 4.15
The area of the nickel ring is 6.15cm2
2. When 9 is added to the number that is produced by tripling the number x, the result is
equal to 6 times the number that is 3 less than x. Write an equation to represent the
situation and use it to find the value of x.
The equation that represents the situation is:
9 + 3x = 6(x - 3)
The value of x is x = 9
Word problem on linear equationLet the number be represented by x
Triple the number = 3x
9 added to the number that is produced by tripling the number x = 9 + 3x
3 less than x = x - 3
6 times the number that is 3 less than x = 6(x - 3)
Therefore, the equation that illustrates the situation is:
9 + 3x = 6(x - 3)
Solve for x in the equation above
9 + 3x = 6x - 18
6x - 3x = 9 + 18
3x = 27
Divide both sides by 3
3x/3 = 27/3
x = 9
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Pls be right will give brainliest
Answer:
D: Yes, a reasonable estimate is around 5 · $7 = $35.
Step-by-step explanation:
None
Are these triangles congruent? If so, why?
Answer:
GFH and BAC are congruent by SAS (SIDE-ANGLE-SIDE) criterion where the 2 angles and the side between those angles are congurent in both triangles. This makes both congruent by ASA criterion
Step-by-step explanation:
Answer:
3rd option
Step-by-step explanation:
because angles are equal and side between them is also equal
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A Boeing 747 travels 938 miles from Houston, Texas to Chicago, Illinois with the wind in two hours. The return trip, flying against the wind, takes three hours. Find the speed of the plane in still air, and the speed of the wind.
Answer:
speed = 469 miles per hour
speed = 312.6667 miles per hour
Step-by-step explanation:
The speed along wind is 469 mph and against wind is 312.66 mph.
What is Speed- distance formula?Speed = Distance/TimeDistance = Speed X Time, Time = Distance / SpeedGiven:
Boeing 747 travels 938 miles with the wind in two hours.
and, Boeing 747 travels 938 miles against the wind, takes three hours
So, speed along wind
= 938 / 2
= 469 mph
and, speed against wind
= 938 / 3
= 312.66 mph
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find the value of x so that the ratios are equivalent 2:7 and 8:x
Answer:
x = 28
Step-by-step explanation:
question 9(multiple choice worth 1 points) (04.01 mc) a watering can dispenses water at the rate of 0.20 gallon per minute. the original volume of water in the can was 8 gallons. which set of ordered pairs shows the volume of water in the can in gallons (y), as a function of time in minutes (x), from the first minute after can starts dispensing water? {(7.8, 1), (7.6, 2), (7.4, 3)} {(1, 7.8), (2, 7.6), (3, 7.4)} {(8.0, 1), (7.8, 2), (7.6, 3)} {(1, 8.0), (2, 7.8), (3, 7.6)}
The ordered pairs that shows the volume of water in the can in gallons (y), as a function of time in minutes (x), from the first minute after can starts dispensing water: {(1, 7.8), (2, 7.6), (3, 7.4)}
For given question,
A watering can dispenses water at the rate of 0.20 gallon per minute.
The original volume of water in the can was 8 gallons.
We need to find the ordered pairs that shows the volume of water in the can in gallons (y), as a function of time in minutes (x), from the first minute after can starts dispensing water.
The ordered pair is of the form (x, y) means the first coordinate is time in minutes and the second coordinate is the volume of water in the can in gallons.
Initially, for x = 0 minutes, y = 8 gallons
After 1 minute, the amount of water in can is 8.0 - 0.20 = 7.8 gallons.
So, the ordered pair of the form (time, volume of water) are: {(1, 7.8), (2, 7.6), (3, 7.4)}
Therefore, the ordered pairs that shows the volume of water in the can in gallons (y), as a function of time in minutes (x), from the first minute after can starts dispensing water: {(1, 7.8), (2, 7.6), (3, 7.4)}
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I’ll love you forever if you help me with this ASAP PLEASE
Answer:
y = 4
or (0, 4)
Step-by-step explanation:
intersecting the y-axis is basically when x is equal to 0.
1.5(0) +4.5y = 18
y = 4
So your y-intersect is (0, 4) and thats when it intersects the y-axis.
What is the ratio for sin A?
According to the given triangle the value of sin A = 4/5
In a right-angled triangle, the sin of an angle is equal to the ratio of the opposing side to the hypotenuse according to the sin theta formula.
Sin A = Opposite angle / hypotenuse= 4/5
There are about six trigonometric ratios—sine, cosine, tangent, cosecant, secant, and cotangent—which describe the many configurations that can be made in a right-angled triangle.
Trigonometry can only be used to solve a side of a right-angled triangle when the lengths of the other two sides and the angle of a side are already known. Before utilizing algebra to determine the value for the unknown side, one must first select a ratio that includes both the unknown and the given sides.
We are aware that the angle-length relationship in right-angled triangles will be covered in trigonometry.
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In the picture there is a triangle with ABC angles. Sides AB=5, BC=3, CA=4. The ratio of SinA=3/5.
Given that,
In the picture there is a triangle with ABC angles.
Sides AB=5, BC=3, CA=4
Trigonometric ratios, which contain the values of all trigonometric functions, are based on the ratio of sides of a right-angled triangle. The ratios of a right-angled triangle's sides with regard to a certain acute angle are known as its trigonometric ratios.
The right triangle's three sides are as follows:
Hypotenuse (the longest side)
Perpendicular (opposite side to the angle)
Base (Adjacent side to the angle)
According to the sin theta formula, the sin of an angle in a right-angled triangle is equal to the ratio of the opposite side to the hypotenuse.
Sin A = Opposite side / hypotenuse
SinA=3/5
Therefore, SinA=3/5.
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pls answer I give brainliest
Ama is sliding down the Super Mega Ultra Slide at a local amusement park. She slides at a rate of 8 m/s downward, and after 3 seconds is 5 m off of the ground. How many seconds will it take her to slide to the ground from the top? Round your answer to the nearest tenth. *
Answer:
3.0625 seconds
Step-by-step explanation:
From the question,
✓She slides at a rate of 8 m/s downward
✓after 3 seconds is 5 m off of the ground
We can calculate the the number of seconds she will use to get to the ground by
Velocity= distance/time
Time= distance/ velocity
=5/8 seconds
=0.625seconds
To know how many seconds it will take her to slide to the ground from the top can be calculated as
( 3seconds + 0.625 seconds)
= 3.0625 seconds
What is the length of the third side of the window frame below?
(Figure is not drawn to scale.)
58 in
42 in
a
16 inches
b
20 inches
с
40 inches
d
50 inches
Answer:
C 40 inches
Step-by-step explanation:
You can use the pythagorean theorem to solve for the second leg. When you plug in 42 for a and 58 for c, you get 42^2 + b^2 = 58^2, then you can isolate b, which should be 40 inches.
What is the solution to this system of equations?
x − 2y = 15
2x + 4y = -18
Step-by-step explanation:
just substitute them in the x and y variables.
if the answer is equal to the answers on the other side of the equation than it correct
Answer:
x=3 , y=-6
Step-by-step explanation:
x − 2y = 15 is one of the problems. so x in this problem stays as 3, and double of y is -12, so if we take 3 - (-12) or more simply, 3+ 12, which is 15.
2x + 4y = -18 is the other problem. so x is doubled making x equal to 6, and four times y, or -6, is equal to -24 . So bringing the while thing together, 6 + -24, or put more simply, 6-24=-18, making the answer
x=3 , y=6
whats the answer giving brainliest:)(: .
Answer:
D
Step-by-step explanation:
x -91
Answer:
The answer is B. X /91
Step-by-step explanation:
All the other answers indicate the number is/will end up being bigger than 91
Is 3 a factor of 73? ( Yes ) or ( No )
Answer:
The correct answer is no.
Step-by-step explanation:
If a number is a factor of another number, that means that it can be equally divided into it evenly.
I know that 3 x 20 = 60, and 73 - 60 = 13.
Since 3 is not a factor of 13, it is also not a factor of 73.
Hope this helps! :D
What equation has the solution to X= -3
Answer: A equation that could have "x= -3" as a solution could be "235x - 18 = -723".
This warning sign appears on the Australian Eyre Highway. If you were a truck driver on the highway, for how many more miles would you expect to see camels, wombats, and kangaroos?
Using proportions, it is found that you would expect to see camels, wombats, and kangaroos for the next 57.17 miles.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.
Each km has 0.621371 miles, hence:
92 km = 92 x 0.621371 = 57.17 miles.
You would expect to see camels, wombats, and kangaroos for the next 57.17 miles.
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Janet hikes a trail at a local forest each day. The trail is 3.6 miles long, and she has hiked 5 days in the past week. How many miles has Janet hiked in the past week?
Answer:
Janet hiked 18 miles during the past week.
Step-by-step explanation:
Length of hiking trail = 3.6 miles
Number of days she hiked during past week = 5 days
We need to find how many miles has Janet hiked in the past week?
We will multiply length of trail with number of days she hiked that trail
Miles Janet hiked in the past week = 3.6 * 5
= 18 miles
So, Janet hiked 18 miles during the past week.
X^2+16x-2=11 completing the square
Answer:
x = -8 ± √77
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Property
Algebra I
Completing the SquareStep-by-step explanation:
Step 1: Define
x² + 16x - 2 = 11
Step 2: Solve for x
Add 2 on both sides: x² + 16x = 13Complete the Square: x² + 16x + 64 = 13 + 64Simplify: (x + 8)² = 77Square root both sides; x + 8 = ±√77Subtract 8 on both sides: x = -8 ± √77A family travels 613.4 miles in 11.4 how many miles do they drive in one hour?
Answer:
Step-by-step explanation:The population in the trapezoid-shaped region shown is about 7000 people. How many people are there per square mile?
Fwd:The hardware store is having a 15% off sale on lawn mowers this weekend. If x is the original price of a lawn mower, what will be the final sales price, excluding tax? Select two that apply. (0.15 + x) , x - 0.15 , 0.15x, (x - 0.15x) , x(1.00 - 0.15)
Answer:
(x - 0.15x) and x(1.00 - 0.15)Step-by-step explanation:
Let x be the original price of a lawn mower,
If the hardware store is having a 15% off sale on lawn mowers this weekend, the amount discounted is expressed as;
= 15 % of x
= 0.15 of x
= 0.15x
Final sales price = Original price - discounted price;
Final sales price = x - 0.15x
Factor out x;
x - 0.15x = x(1 - 0.15)
Hence the correct equations are (x - 0.15x) and x(1.00 - 0.15)
Use the Pythagorean Theorem.
Round to the nearest tenth.
somebody please help me !!
Answer:
16
Step-by-step explanation:
i think this is right