Jorge's drawing of the triangle is greater than the first drawing.
How to analyze and interpret scales
Scales are ratios between two lengths, herein we find an example of scales, defined as ratios of real length to reduced length from drawings. In a nutshell, we have a case of augmentation scales. Mathematically speaking, each scale is represented by the corresponding formulas:
x / y = 30 (1)
x / z = 10 (2)
By (1) and (2) we find the relationship between the two lengths of the two drawings:
30 · y = 10 · z
z = 3 · y
Jorge's drawing of the triangle is greater than the first drawing.
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Prove that the expression x^2 +2x+2 can only have positive values
See below for the proof that the expression x^2 +2x+2 can only have positive values
How to prove that the expression x^2 +2x+2 can only have positive valuesThe expression is given as
x^2 + 2x + 2
The above expression is a quadratic expression
A quadratic expression is represented as
ax^2 + bx + c
Where the discriminant (d) is
d = b^2 - 4ac
So, we have
d = 2^2 - 4 * 1 * 2
Evaluate
d = -4
Because d is negative, it means that the expression has only complex roots
Quadratic expressions that have only complex roots can only have positive values
Hence, the expression x^2 +2x+2 can only have positive values
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To pass a test in a water safety course, a student must get 80% of the questions
correct. There are 90 questions on the test. How many questions must a student
answer correctly to pass the test?
The student should answer 72 questions correctly to pass the test.
What is the percentage?Percentages are basically fractions with a denominator of 100. We use the percent symbol (%) besides a number to indicate that it is a percentage. For instance, if you answered 75 questions correctly out of 100 on a test (75/100), you would have received a 75%.So, a number of correct questions for 80%:
90/100 × 800.90 × 80= 72Therefore, 72 questions must a student answer correctly to pass the test
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How to graph of a piecewise function.
The required equations are y = -10, y = 3x / 2 + 21/ 2 and y = x /5 - 58/5.
The equation is the relationship between variables and is represented as y =ax +b is an example of a polynomial equation.
Here,
For the line present at the left and third quarter is y = 3x / 2 + 21 / 2
For the horizontal curve, the equation is y = -10,
For the line in the fourth quadrant, the equation is y = x / 5 - 58/ 5.
Thus, the required equations are y = -10, y = 3x / 2 + 21/ 2 and y = x /5 - 58/5.
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Find the value of each variable
Answer:
x = 22, y = 12.
Step-by-step explanation:
5x + 4 = 114 (opposite angles).
5x + 4 + 3x - 24 + 2y = 180 (adjacent angles are supplementary)
From first equation:
5x = 110
x = 22.
Substituting for x in the second equation:
114 + 3(22) - 24 + 2y = 180
2y = 180 - 114 - 66 + 24
2y = 24
y = 12.
degree of monomial 2a^6b^3
Answer:
6th degree monomial
Step-by-step explanation:
The highest exponent is 6. Therefore, the monomial is a 6th degree monomial.
Hope this helps!
Please mark as brainliest if correct!
Have a great day!
For every $2 that Miguel saves his parents give him $4 if Miguel saves $60 how much money will his parents give him
Simplify each expression. 2x + 3y - 5x + 2y
Answer: −
3
x
+
5
y
Step-by-step explanation:
The height of a golf ball hit into the air is modeled by the equation \large h=-16t^2+48t, where \large hrepresents the height, if feet, and \large t represents the number of seconds that have passed since the ball was hit.
What is the height of the ball after 2 seconds?
a
80 feet
b
16 feet
c
64 feet
d
32 feet
Answer:
32 feet.
Step-by-step explanation:
If t is the time in seconds and the problem asks us what the height is after 2 seconds, then that would mean t = 2.
So, now we can substitute 2 for t and solve.
-16 × 2² + 48 ×2
-16 × 4 + 96
-64 + 96
= 32 ft.
Hope this helps!
X intercept of y=10x+8
Answer:
this will look like
x= y + 4
__ __
10 5
the / are over so y on top of 10 and 4 over 5
URGENTTT ! PLEASE HELP :(((
1. 9miles
2. 6miles
3. 3miles
Solve the following math problem I. Picture pls
Answer:
the answer is null in other words you cant
Step-by-step explanation:
SAT/ACT The sum of three consecutive integers is -48 . What is the least of the three integers?
A -15
B -16
C -17
D -18
E -19
The sum of three consecutive integers is -48 then the least of the three integers is -16.
What is meant by consecutive numbers?Consecutive numbers are numbers that follow each other in descending order from smallest to largest.
Consecutive numbers are those that come after each other in descending order from the smallest to the largest. The difference between consecutive numbers is always fixed and follows a predictable pattern.
The numbers are x-1, x, and x+1.
(x-1) + (x) + (x+1) = -48
simplifying the above equation, we get
x - 1 + x + x + 1 = -48
x + x + x + 1 - 1 = -48
3x + 1 - 1 = -48
3x = -48
Dividing throughout by 3, we get
x/3 = -48/3
x = -16
The value of x = -16.
The sum of three consecutive integers is -48 then the least of the three integers is -16.
Therefore, the correct answer is option B. -16.
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Select the correct answer.
The length of a rectangle is 3 meters more than the width. The perimeter of the rectangle is 26 meters. If the width is b, which equation represents the situation? How many solutions will this equation have?
Answer Choices:
A. (b + 3)(b) = 26, which has one solution
B. 2(b + 3) + 2b = 26, which has infinitely many solutions
C. 2[(b + 3) + b] = 26, which has one solution
D. 2[(b + 3) + b] = 26, which has no solution
The equation which represents the situation is 2[(b + 3) + b] = 26 and the equation has one solution.
The correct answer option from above is option C
What is meant by the perimeter of rectangle?The perimeter of a rectangle is the addition of all the sides of the rectangle, that is, the addition of the two length and two width.
Width of the rectangle = bLength of the rectangle = (b + 3)Perimeter of the rectangle = 26 metersPerimeter of the rectangle = 2(length + width)
26 = 2{(b + 3) + b}
26 = 2(b + 3 + b)
26 = 2(2b + 3)
open parenthesis26 = 4b + 6
Then substract 6 from both sides26 - 6 = 4b
20 = 4b
b = 20/4
b = 5
Width of the rectangle = b
= 5 meters
Length of the rectangle = (b + 3)
= (5 + 3)
= 8 meters
So therefore, length and width of the rectangle given the perimeter is 8 meters and 5 meters respectively.
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Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: ________
What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?
x < –3
x > –3
x < 3
x > 3
==================================================
Explanation:
We need to divide both sides by -2 to fully isolate x.
Dividing both sides by a negative number will flip the inequality sign
We go from -6 < -2x to 3 > x
Then we flip 3 > x to x < 3 which is choice C
-----------------
A slightly longer approach:
-6 < -2x
-6+2x < 0 .... add 2x to both sides
2x < 6 .... add 6 to both sides
2x/2 < 6/2 .... divide both sides by 2
x < 3
We get the same answer as the previous section. It helps show why the sign flip happened when dividing both sides by a negative number.
PLEASE ANSWER CORRECTLY Finding the initial amount and rate of change given a table for a linear function
The initial amount and rate of change given a table for a linear function are $1160 and -$30, respectively
How to find the initial amount and rate of change given a table for a linear function?The table of linear function represents the given parameter
On the table, we have the following points
(x, y) = (6, 980) and (12, 800)
The rate of change is calculated as
Rate = (y2 - y1)/(x2 - x1)
So, we have
Rate = (980 - 800)/(6 - 12)
Evaluate
Rate = -30
This means that the rate of change is -$22.5
The initial amount is calculated as
y = m(x - x1) + y1
Where
m = -30
So, we have
y = -30(x - x1) + y1
Using one of the points, we have
y = -30(x - 6) + 980
Set x = 0
So, we have
y = -30(0 - 6) + 980
Evaluate
y = 1160
Hence, the initial amount and rate of change given a table for a linear function are $1160 and -$30, respectively
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HELP SSP SHOW UR WORK WILL BRAINLEST SND 10 points
Answer: number 1. 4 number2. 7
Step-by-step explanation:
I hope this helps!
Answer:
Step-by-step explanation:
1. Given
Jordan paid $550
from $550 $240 is for the parts
he paid $65 per hour
so 550-240
= 310
then if
1 hour = $65
? =$310
310*1/65
=4.76 hour
final answer for first question is 4.76 hour
The inside of a flashlight surrounding the bulb is shaped like a parabola in which the base of the bulb represents the vertex and the top of the bulb represents the focus. Which of the following standard equations represents the parabola in which the base of the bulb is at (4, 6) and top of the bulb is at (4, 3)?
(x – 4)2 = –12(y – 6)
(x – 4)2 = –24(y – 6)
(x + 4)2 = 12(y + 6)
(x + 4)2 = 24(y + 6)
The standard equation which represents the parabola in which the base of the bulb is at (4, 6) and top of the bulb is at (4, 3) is: A. (x - 4)² = -12(y - 6).
How to determine the equation of a parabola?Mathematically, the standard equation with the vertex for any parabola that opens up and symmetric about the y-axis is given by:
(x - h)² = 4a(y - k)
where:
h and k represents the vertex.a is a point.In Geometry, the focus on the coordinate plane of a parabola is generally "n" units away from the vertex, and it's directly on the right side if it opens to the right or on the left side if it opens to the left.
Given the following data:
h = 4 and k = 6
a = 3 - 6 = -3
Substituting the given parameters into the formula, we have;
(x - h)² = 4a(y - k)
(x - 4)² = 4(-3)(y - 6)
(x - 4)² = -12(y - 6)
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Determine whether the polygons are always, sometimes, or never similar. Explain your reasoning. (Lesson 7-2)
A right triangle and an isosceles triangle
Given polygons a right triangle and an isosceles triangle sometimes be similar.
As given ,
Given polygons : A right triangle and isosceles triangle.
Polygon a right triangle and isosceles triangle never be similar.
Reason:
A right triangle is a triangle with one of the angle equals to 90 degree.A right triangle can be isosceles if and only if two acute angles are congruent to each other.If a right triangle is isosceles then they are similar.Through the transformation of dilation one can map one triangle onto others.Therefore, given polygons a right triangle and an isosceles triangle sometimes be similar.
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Help Please
A 30-foot ladder is leaning against a building. The base of the ladder is 18feet from the side of the building. How high does the ladder reach along the side of the building? The ladder reaches _____ feet high on the building.
Answer:
Step-by-step explanation:
a² + b² = c²
18² + b² = 30²
324 + b² = 900
b² = 576
b = 24
Answer: 24
Step-by-step explanation: you use the formula: a^2 + b^2 = c^2. If you drew a picture, it would form a triangle with 30 as the length of the hypotonuse, and 18 as one of the legs. This given, we would have a^2 + 18^2 = 30^2 (hypotonuse = c) Then, solve.
What's total amount of rope that extends to the two stakes supporting tree in trigonometry?
According to the question, the total amount of rope needed to extend the two stakes supporting the tree in trigonometry can be determined by using the functions sine and cosine.
Explain trigonometric function with example.
If the rope can be tied with the tree trunk then the staked rope makes an angle with respect to the ground. And it can be calculated with the help of the trigonometric functions. And it states that the ratio of the length of the opposite sides and the hypotenuse of the right angle triangle. And the result of the ratio is sine function.
Therefore, the total amount of two ropes needed so that it extends to the two stakes of the supporting trees.
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If K is the midpoint of JL, JK=8x+11 and KL=14x-1, find JL.
Given that K is the midpoint on segment JL, the numerical value of segment JL is 54.
What is the numerical value of segment JL?A midpoint is simply a point that divides a segment into two equal halves.
Given the data in the question;
K is the midpoint on segment JLSegment JK = 8x + 11 Segment KL= 14x - 1Numerical value of segment JL = ?Given that K is the midpoint on segment JL, this means segment JK is divided into two equal halves, Segment JK is equal to Segment KL.
Segment JK = Segment KL
8x + 11 = 14x - 1
Collect like terms
8x - 14x = -1 - 11
-6x = -12
x = -12/-6
x = 2
Hence, the numerical values of Segment JK and Segment KL will be;
Segment JK = 8x + 11 = 8(2) + 11 = 16 + 11 = 27
Segment KL = 14x - 1 = 14(2) - 1 = 28 - 1 = 27
Since Segment JK and Segment KL makes up segment JL, the numerical value of Segment JL is the sum of Segment JK and Segment KL.
Segment JL = 27 + 27 = 54
Given that K is the midpoint on segment JL, the numerical value of segment JL is 54.
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Sophie spends a winter day recording the temperature once every three hours for
science class. At 9 am, the temperature was -1.7°F. Between 9am and noon, the
temperature increased by 18.1°F. Between noon and 3pm, the temperature increased
by 14.8°F. Between 3pm and 6pm, the temperature dropped 14.6°F. What was the
temperature at 6pm?
The temperature at 6pm based on the information will be 16.6°F.
How to illustrate the information?From the information, at 9 am, the temperature was -1.7°F, between 9am and noon, the.temperature increased by 18.1°F, between noon and 3pm, the temperature increased by 14.8°F and between 3pm and 6pm, the temperature dropped 14.6°F.
Therefore, the temperature at 6pm will be:
= -1.7°F + 18.1°F + 14.8°F - 14.6°F
= 16.6°F.
Therefore, the temperature at 6pm based on the information will be 16.6°F.
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Simplify each sum or difference. State any restrictions on the variables.
1 / x² - 4 + 6 / x+2
The simplification of difference of the given two rational expressions [tex]\frac{1}{x^{2} -4}+\frac{6}{x+2}[/tex] is equal to (6x-11)/ (x-2)(x+2).Restriction on the variables is given by x≠ -2, x≠ 2.
As given in the question,
Given expression is [tex]\frac{1}{x^{2} -4}+\frac{6}{x+2}[/tex]
Simplify the given two rational expressions by factorizing them,
[tex]\frac{1}{x^{2} -4}+\frac{6}{x+2}\\\\= \frac{1}{(x-2)(x+2)}+\frac{6}{x+2}\\\\= \frac{1+6(x-2)}{(x-2)(x+2)}\\\\= \frac{1+6x-12}{(x-2)(x+2)}\\\\= \frac{(6x-11)}{(x-2)(x+2)}[/tex]
Restriction on the variables is given by x≠ -2, x≠2.
Therefore, the simplification of difference of the given two rational expressions [tex]\frac{1}{x^{2} -4}+\frac{6}{x+2}[/tex] is equal to (6x-11)/ (x-2)(x+2). Restriction on the variables is given by x≠ -2, x≠ 2.
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find the volume of a sphere
Answer:
the volume of the sphere is 1436.76
Each side of an equilateral triangle is 4 m shorter than twice the length of each side of a square. Their perimeters. are the same. How long is each side of the triangle?
Answer: 8m
Step-by-step explanation:
2 3/4 divded by 5/6 , 1 1/3 divded by 1/4 , 2/5 divded by 1 2/5, 5/7 divded by 3 1/5 , 2 2/7 divded by 2 2/7 . PLEASEEE HELP ME IF ANYONE IS WILLING TO HELP ME COMPLETE ALL MY ASSINGMENTS PLS ADD AND MESSAGE ME THNX
Answer:
2 3/4 divided by 5/6 = 3 3/10
1 1/3 divided by 1/4 = 5 1/3
2/5 divided by 1 2/5 = 2/7
5/7 divided by 3 1/5 = 25/112
2 2/7 divided by 2 2/7 = 1
solve the expression
[tex]4( {3}^{3} - 7) \div 10[/tex]
The solution of the given expression is fraction 4/5.
What is square of a number?The result of multiplying an integer by the same integer is recognised as a square number.
A square number is essentially a number formed by the product of 2 identical numbers. The area of a square to 'n' as the length equal (in which n is an integer) is the clearest illustration of a square number in geometry.Square numbers always have the digits 0, 1, 4, 5, 6, and 9 at the end. For instance, 25, 49, 81, 100, and so on are perfect square numbers, whereas 37, 48, 22, and so on are not.A square number always has an even number of zeros just at end. This means that if a number ends with an odd number of zeros, it is not a square number.The given expression is;
= 4(3² - 7)/10
we know that 3² = 3x3 = 9, put the value;
= 4(9 - 7)/10
= 8/10
Divide both numerator and denominator by 2.
= 4/5
Thus, the obtained expression is 4/5.
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An octagon has all equal side lengths and angle measures. a point is at the center of the octagon. what is the smallest angle of rotational symmetry for the regular octagon? °
There is a regular octagon with n = 8 sides. The minimum rotational symmetry angle is,
= 360/n
= 360/8
= 45 degrees.
Rotating this amount does not change the regular octagon. The front and back look the same.
Suppose that we are given a regular polygon with N sides, the angles of rotational symmetry are:
A = n * 360° / N
where n can take values = 1, 2, N, and there are N different angles. It is the minimum rotational symmetry when n equals 1.
So, in this case,
A = 360 / N , R = 30°
And we want to find the number N.
30° = 360° / N
N = 360° / 30°
N = 12
This means that a regular polygon has 12 sides.
12 Upright Step by step:
360° ÷ 8 = 45°
8 because the octagon has 8 sides.
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Answer:
45 Degrees
Step-by-step explanation:
just answered <3
At a football stadium, 5% of the fans in attendance were teenagers. If there were 260 teenagers at the football stadium, what was the total number of people at the stadium?
Answer:
5200 people
Step-by-step explanation:
1. Divide 100 by 5 (How many sets of 5 are there in 100)
100/5 = 20
2. Multiply 260 by 20 (To find the number of people, you need to find 100%)
260*20 = 5200
Answer:
5200
Step-by-step explanation:
Evaluate each expression for the given values of the variables.
4a+7b+3 a-2 b+2 a ; a=-5 and b=3
The result of the expression 4a+7b+3a-2b+2a for the variables a= -5 and b= 3 is -30
Given,
The algebraic expression = 4a+7b+3a-2b+2a
Rearrange the terms
=4a+3a+2a+7b-2b
Combine the like terms
=9a+5b
We know
a= -5
b= 3
Substitute the values in the expression
9(-5)+5(3)= -45+15
=-30
Hence, the result of the expression 4a+7b+3a-2b+2a for the variables a= -5 and b= 3 is -30
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