(Q3) a=13 mm, b=84 mm, c=85 mmThe triangle is a(n) _____ triangle.
Answers
The triangle with sides a=13 mm, b=84 mm, and c=85 mm is a(n) right triangle. This is because it satisfies the Pythagorean theorem (a² + b² = c²). In this case, 13² + 84² = 169 + 7056 = 7225, and 85² = 7225, so the theorem holds true.
A right triangle is a triangle with two perpendicular sides and one angle that is a right angle (i.e., a 90-degree angle). The foundation of trigonometry is the relationship between the sides and various angles of the right triangle.
The hypotenuse, or side c in the illustration, is the side that is opposite the right angle. Legs are the sides that meet at the correct angle. Side a may be thought of as the side that is opposite angle A and next to angle B, whereas side b is the side that is next to angle A and next to angle B.
A right triangle is considered to be a Pythagorean triangle and its three sides are referred to as a Pythagorean triple if the lengths of all three of its sides are integers.
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Related Questions
Use the rules to find derivatives of the functions at the specified values.
f(x) = 4x^3 at x = 2
f(2) = _____
Answers
The value of the function f(x) at x = 2 is 48.
The question asks us to find the value of the function f(x) = 4\(x^3\) at x = 2 and its derivative f'(x) at x = 2.
The value of the function f(x) at x = 2, we simply plug in x = 2 into the function and evaluate:
f(2) = 4\((2)^3\) = 4(8) = 32
Therefore,
The value of the function f(x) at x = 2 is 32, which we can write as f(2) = 32.
To find the derivative of the function f(x) at x = 2, we first need to find the general formula for the derivative of f(x), which we can do using the power rule for derivatives.
The power rule states that
To find the derivative of f(x) at x = 2, we simply plug in x = 2 into the formula for f'(x) that we just found:
f'(2) = \(12(2)^2\) = 48
Therefore,
The derivative of the function f(x) at x = 2 is 48, which we can write as f'(2) = 48To find the derivative of the function
f'(x) = 12\(x^2\)
To find the value of f(2), we can simply plug in x = 2 into the original function:
f(2) = 4\((2)^3\) = 32
To find the value of f'(2), we can plug in x = 2 into the derivative we just found:
f'(2) = 12\((2)^2\) = 48
Therefore,
f(2) = 32 and f'(2) = 48.
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How can we find that when a system of two equations, two unknowns has Infinite Solutions. I want a solution with matrix. I know this method (which is not with matrix):
Answers
Step-by-step explanation:
To determine if a system of two equations with two unknowns has infinite solutions using matrices, you can perform Gaussian elimination or row reduction on the augmented matrix of the system. If the reduced form of the matrix is the identity matrix, then the system has a unique solution. If the reduced form is a row of zeros except for the last column, then the system has no solution. If the reduced form has a row with all zeros except for the last column being non-zero, then the system has an infinite number of solutions.
In other words, the system has infinite solutions if the row reduced form of the augmented matrix has a row of the form [0 0 c], where c is a non-zero scalar. This means that there is a non-trivial solution that satisfies the equation, indicating that there are infinitely many solutions.
John is running in a 1 km race. If he finishes the race in 350s what was his speed in m/s
Answers
Answer:
187
Step-by-step explanation:
Is anyone able to help me on this?? I need serious help! Thank ya!
Answers
Answer:
The function is f(x)=2x
Step-by-step explanation:
Since every single y is 2 times x, it will be 2x. This function just doubles whatever x you put in.
Answer:
Step-by-step explanation:
Those are coordinate points on a line but they are written in table form.
For the first point, when x=1, y=2 (that's given from the table) but it's a point on the line (1, 2)
The next point (2,4),
(3,6) and so forth.
The format for a line is
y=mx+b (slope-intercept form)
or
\(y-y_{1} = m(x-x_{2})\) (point-slope form)
They did not give you the y-intercept (that's when x=0) in the chart. You may have been able to figure it out by looking at the pattern but if not we will use the second formula, point slope form, because we know a point from the chart and we can find slope
\(slope=m=\frac{y_{2}- y_{1} }{x_{2}- x_{1} }\)
pick any 2 points from the chart to find slope. I will pick (1,2) and (2,4)
\(m=\frac{4-2}{2-1 } =\frac{2}{1} =2\)
Now that i know slope m=2 and i will pick (1,2) to plug into formula
\(y-y_{1} = m(x-x_{2})\)
y-2=2(x-1) distribute 2
y-2=2x-2 add 2 to both sides
y=2x
The function is increasing at a rate of 2 and the y-intercept is 0.
if the ladder extends to a length of 158 inches, what is the height of the house, rounded to the nearest hundredth of an inch?
Answers
By applying the Pythagorean theorem (c² = a² + b²) to the right triangle formed by the ladder, ground, and house height, the height of the house is calculated as approximately 156.9 inches.
To determine the height of the house when the ladder extends to a length of 158 inches, you need to use the Pythagorean Theorem which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides (legs).
The ladder represents the hypotenuse of the right triangle formed by the ladder, the ground, and the height of the house. Thus, you can use the formula c² = a² + b², where c is the length of the ladder, and a and b are the length and height of the house, respectively. Rearranging the formula to solve for b, you get b = √(c² - a²).
Substituting c = 158 inches and a = 24 inches (assuming the ladder touches the ground at a distance of 24 inches from the base of the house), you get b = √(158² - 24²) = √(24644) = 156.9 inches, rounded to the nearest hundredth of an inch.
Therefore, the height of the house is 156.9 inches when the ladder extends to a length of 158 inches.
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A box of cereal weighs 600 grams. How much is this weight in pounds? Explain or show your reasoning. (Note: 1 kilogram = 2.2 pounds)
Answers
Answer: it weighs 1.3lbs and i dont know how to explain it
Classify the following triangle. Check all that apply.
A. Isosceles
. B. Equilateral
C. Scalene
E D. Acute
E. Right
E F. Obtuse
Answers
Answer:
Options A and E
Step-by-step explanation:
Isosceles triangle → Two sides and opposite angles of the equal sides will be equal
In the given triangle measure of all sides are different.
Therefore, it's not an isosceles triangle.
Equilateral triangle → All sides and opposite angles are equal.
Given triangle is not an equilateral triangle.
Scalene triangle → All sides and angles are different in measure.
It's an scalene triangle.
Since, one angle of the triangle is a right triangle, it's a right triangle.
Option A and E are the correct options.
A tower stands on top of a hill. From a point on the ground that is 148 meters directly east of a point directly under the tower, the angle of elevation to the bottom of the tower is 18 degrees. From the same point, the angle of elevation to the top of the tower is 34 degrees. Find the height of the tower.
Answers
Answer:
62.2 m
Step-by-step explanation:
From 148m away at ground level, the angel of elevation to the tower base is 18 degrees. Imagining this as a right angled triangle, if considering the angle of 18 degrees, 148m is the adjacent and the opposite is the height of the hill:
tanA=opposite/adjacent
tan18=opposite/148
opposite = 57.8357059295m
From 148m away at ground level, the angel of elevation to the tower top is 34 degrees. Imagining this as a right angled triangle, if considering the angle of 34 degrees, 148m is the adjacent and the opposite is the height of the hill+the tower:
tanA=opposite/adjacent
tan34=opposite/148
opposite = 120.062515998m
Knowing the height of the hill and tower is 120.062515998m and the height of the hill is 57.8357059295m, we can say the height of the tower is the difference:
120.062515998 - 57.8357059295 = 62.2268100685 m
In one version of a trail mix there 4 cups of peanuts mixed with 2 cups of raisins. In another version of trail mix there are 6 cups of peanuts mixed with 3 cups of raisins are the ratios equivalent for the two mixes
Answers
Answer:
No, they are not equivalent.
on a bicycle, renee rides for 6 hours and is 56 miles from her house. after riding for 8 hours, she is 74 miles away. what is renee's average rate over the last 2 hours of her trip?
Answers
The average speed of Renee over the last 2 hours of her trip is 9 miles/hour.
Let the average speed of Renee in 2 hours in between 6th and 8th hour be x miles / hours.
So the distance covered by Renee in 6 hours is = 6x
So the distance covered by Renee in 8 hours is = 8x
So the distance covered by Renee in this 2 hours in between 6th and 8th hours is = 8x - 6x
So according to the information the distance covered by Renee in this same 2 hours = 74 - 56 = 18 miles.
The equation best situated to the situation is,
8x - 6x = 18
2x = 18
x = 18/2
x = 9
Hence the average speed of Renee over the last 2 hours of her trip is 9 miles/hour.
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I need help guys . Anyone help me ?
Answers
Answer:
2:3
Step-by-step explanation:
15/25 are girls
10/25 are boys
10/25 to 15/25
2/5 : 3/5
2:3
1. Match the directed line segment with the image of Polygon P being transformed to Polygon Q by translation by that directed line
segment.
Answers
Answer:
The question seems to be incomplete, so i will answer in a general way.
In this case, the translations are defined by a line segment.
Such that in each translation, you can easily find the segment PQ (the measure and the direction).
And all the points in the Polygon P will be connected by that same segment PQ to the equivalent point in the Polygon Q. (where you only move the segment to the correct location, but the lenght and direction remains constant)
So to find the line segment for each transformation, you need to correctly measure the length of the segment PQ, and also the direction (that can be defined by an angle).
With that information, you can find the directed line segment for all the given transformations.
Answer:Translation 1
Step-by-step explanation:
There are 30 giraffe and 6 penguin at the zoo. Which tatement correctly compare the two quantitie?
Answers
To compare the two quantities, divide the number of giraffes by the number of penguins There are 5 times as many giraffes as penguins at the zoo.
To compare the two quantities, you need to divide the number of giraffes by the number of penguins.
30 giraffes / 6 penguins = 5
This means that there are 5 times as many giraffes as penguins at the zoo.
There are 5 times as many giraffes as penguins at the zoo. To compare the two quantities, divide the number of giraffes by the number of penguins (30/6 = 5). This means that there are 5 times more giraffes than penguins at the zoo.
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Jack is thinking of a number, which he calls n. He adds 4 to the number and then doubles the sum. *
10 points
n (2 + 4)
2n +4
2 (n +4)
(n +2)²
Emily is thinking of a number, which she calls n. She finds 1/4 of a number and then subtract 3. *
10 points
1/4 -3
(1/4)n -3
3 - 1/4n
3n -1/4
The expression 2( n+ 9) represents Steve's final number. Steve's starting number n is 5. What is Steve's final number? *
10 points
26
28
30
16
The expression 3( 2n+ 4) represents Mark's final number. Mark's starting number n is 8. What is Mark's final number? *
10 points
42
72
48
60
At Cycle and Sport, customers can rent bikes, electric scooter, kayak, canoes, or paddleboards by the hour. Kenny rents a bike and a helmet. The expression 9b +6 represents the total cost to rent the bike for b hours, plus the fee for the helmet. What does the term 9b represent? *
10 points
the cost to rent a helmet
the number of hours
the cost to rent a bike
the total cost, including the helmet rental
Which expression represents the total cost for Peter to rent a bike for b hours and Meg to rent a scooter for s hours. *
10 points
Captionless Image
9 + 10 • b + s
9 + 10
9b + 10s
(9 + b) + (10 + s )
Which expression represents the total cost for Peter to rent a bike for b hours and Meg to rent a scooter for s hours. Peter rents the bike for 4 hours, and Meg rents the scooter for 3 hours. What is the total cost of the rentals. *
10 points
Captionless Image
$ 76
$ 19
$ 67
$ 66
At the Ski Shack, customers can rent skis, snowboards, boots, and poles by the day. Ann is renting a snowboard. Lucy has her own skis, but she needs to rent boots. Which expression represents the total cost for Ann to rent a snowboard for s days and rent boots for b days? *
10 points
Captionless Image
52s + 30b
30s + 48b
52 + 30
none of the above
At the Ski Shack, customers can rent skis, snowboards, boots, and poles by the day. Ann is renting a snowboard. Lucy has her own skis, but she needs to rent boots. Ann rents the snowboard for 4 days. Lucy rents the boots for 5 days. What is the total cost of the rentals? *
10 points
Captionless Image
$ 258
$ 358
$ 368
$ 386
At the Ski Shack, customers can rent skis, snowboards, boots, and poles by the day. Amanda is renting skis and poles. She has a coupon for $18 off. Which expression represents the total cost for Amanda to rent skis for s days and poles for p days? *
10 points
Captionless Image
48s + 12p -18
s(48 + 12) - 10
48 +12 - 18
48s + 12p + 18
Answers
Answer:
there you go its below
Step-by-step explanation:
1. (n +2)²
2. (1/4)n -3
3. 28
4. 42
5. the cost to rent the helmet
6. 9b + 10s
7. 67
8. none of the above
9. $ 368
10. 48s + 12p - 18
in a study of breast cancer, a mother was considered exposed if she first gave birth at 30 years of age or older. among 1,628 mothers who were exposed, 31 subsequently developed breast cancer. among the 4,450 mothers who first gave birth before the age of 30, 65 subsequently developed breast cancer. what type of study design was used for this investigation of the association age at first birth and breast cancer?
Answers
The compared to mothers who gave birth for the first time at the age of under 30 to determine the incidence of breast cancer.
The study design used for this investigation of the association between age at first birth and breast cancer is Cohort Study.What is a cohort study?A cohort study is an analytical research approach in which a group of people with a shared trait or experience are followed over time. Cohort studies are used to determine the incidence of a disease, changes in morbidity and mortality rates, and to recognize risk factors for a disease. In this study of breast cancer, the mothers who gave birth for the first time at the age of 30 or older were considered exposed, and they were compared to mothers who gave birth for the first time at the age of under 30 to determine the incidence of breast cancer.
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The asymmetric cryptography algorithm most commonly used is:
O GPG
O RSA
O ECC
O AES
Answers
Answer
Step-by-step explanation:
Opposite angles formed by two intersecting lines are called _______ angles.
Answers
Answer: vertical angles
these angles are also congruent
hope this helps!
Answer:
vertical lines
Step-by-step explanation:
that's answer choice
PLS HELP ASAPP!!!
Use the figure below to match the type of angles with the correct angles.
ANSWER CHOICES:
Supplementary
Alternate Exterior Angles
Corresponding Angles
Vertical Angles
Alternate Interior Angles
Same-Side Exterior Angles
Same- Side Interior Angles
Complementary
Answers
Answer:
here use some of these
Step-by-step explanation:
Also google is a really good source, just type the name and then click images
The graph represents the distribution of the lengths of play times, in minutes, for songs played by a radio station over one hour.
A graph shows the horizontal axis numbered 2.6 to x. The vertical axis is unnumbered. The graph shows an upward trend from 2.8 to 3.4 then a downward trend from 3.4 to 4.
Which statement is true about the songs played during the one-hour interval?
Most of the songs were between 3 minutes and 3.8 minutes long.
Most of the songs were 3.4 minutes long.
Most of the songs were less than 3.2 minutes long.
Most of the songs were more than 3.6 minutes long.
Answers
The correct statement is Most of the songs were between 3 minutes and 3.8 minutes long.
Based on the given information from the graph, we can determine the following:
The graph shows an upward trend from 2.8 to 3.4 on the horizontal axis.
Then, there is a downward trend from 3.4 to 4 on the horizontal axis.
From this, we can conclude that most of the songs played during the one-hour interval were between 3 minutes and 3.8 minutes long. This is because the upward trend indicates an increase in length from 2.8 to 3.4, and the subsequent downward trend suggests a decrease in length from 3.4 to 4.
Therefore, the correct statement is:
Most of the songs were between 3 minutes and 3.8 minutes long.
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Answer:
A
Step-by-step explanation:
Please help me please pleaee
Answers
Hello,
A.i. the circumference of a circle is nothing else but its perimeter which formula is π × diameter = π × 2 × radius
Let π = 22/7 ≈ 3.142857, the egyptian approximation
Then if C is the circumference of the circle i., C = 22/7 × 21 = (22 × 21) / 7 = (22× 7×3 )/7 = 22 ×3 = 66 cm
ii. Applying the same formula for the second circle gives us C = 22/7 × 8 = 176/7 ≈ 25.14 meters, rounded to the nearest hundredth...
Good luck !
Answer:
a) 66cm. b) 50.28cm. or 50 2/7cm.
Step-by-step explanation:
The circumference of a circle is C=2πr or C=πd.
π=22/7
a) C=πd
Plugin the diameter.
C=22/7 x 21
=66cm.
b) C=2πr
Plugin the radius.
C=2 x 22/7 x 8
=50.28cm. or 50 2/7cm.
Hope this helps :)
What is 3|-a+5| if a is 7
Answers
Answer:
6
Step-by-step explanation:
The I I is just absolute value, so it will give a positive result. if a=7,
3I-7+5I
-7+5=-2, but because this is absolute value, -2=2
Then you have 3(2),
3*2=6
x = \(\frac{2}{3}\)x - 5 WHAT IS X
Answers
x = -15
Step-by-step explanation:
\(x = \frac{2}{3} x - 5\)
Collect like terms and simplify
\(x - \frac{2}{3} x = - 5 \\ \frac{1}{3} x = - 5\)
Cross multiply
\(x = - 5 \times 3 \\ \\ x = - 15\)
PLS HELP ME ANSWER AT LEAST ONE OF THESE QUESTIONS ASAP
What restrictions may be necessary to the domain and range of linear equations?
How can you write the linear function given 2 points?
What restrictions may be necessary to the domain and range of linear equations?
Answers
Answer:
1. If x is under a square root then x cannot equal a negative number. If x is in the denominator of a fraction then x cannot equal zero.
2. ax2 + bx + c
Step-by-step explanation: Hope this helps :)
Suppose the relationship between x and y is proportional. When x is 7 , y is . 147 Identify the constant of proportionality of y to x.
Answers
Answer:
its 21
Step-by-step explanation:
Please help I do not understand this Do the images below represent a translation explain your answer
Answers
No the image in the figure dont represent a translation in the graph
what is translation ?
Translation is the process of moving or transforming an object from one position to another without changing its shape or size. In mathematics, translation is commonly used to describe the movement of geometric figures, such as points, lines, or shapes, along a coordinate plane.
what is graph ?
In mathematics, a graph is a visual representation of a set of objects, typically represented as points or vertices, connected by lines or edges. Graphs are commonly used to model relationships between objects, such as connections between people, locations, or data points.
In the given question,
Translation in graph refers to the process of moving or transforming a graph from one position to another without changing its shape or size. This transformation can be achieved by applying a set of rules or functions to the coordinates of each point in the graph.
The most common types of graph translations are vertical and horizontal translations. A vertical translation moves the graph up or down along the y-axis, while a horizontal translation moves the graph left or right along the x-axis.
To perform a vertical translation, you can add or subtract a constant value from the y-coordinates of all the points in the graph. For example, to move a graph up by 3 units, you would add 3 to the y-coordinates of all the points in the graph.
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PLZ HELP. Will give brainliest if answered correctly with explanation.
Answers
Answer:
90 degrees
Step-by-step explanation:
given:
ABCD~EFGH
mB=mBCD=90
mBAD=128
find mFGH
this means that we are looking for angle G, and it is given that G is equal to C. it is also given that C is equal to B in mB=mBCD. finally, it is given that mB and mBCD, which are both equal, are 90 degrees. this means that mC is 90 degrees, and since mC is equal to mG, mG is equal to 90 degrees
Use the remainder theorem to find the remainder when
dividing
f(x) = -4x^3 + 2x^3 -3x+5 by x - 2
Answers
-17.
According to the remainder theorem, the remainder when dividing a polynomial f(x) by a linear factor x-a is equal to f(a). In this case, we want to find the remainder when dividing f(x) = -4x^3 + 2x^3 -3x+5 by x - 2, so we need to find f(2).
f(2) = -4(2)^3 + 2(2)^3 -3(2) + 5
f(2) = -4(8) + 2(8) -6 + 5
f(2) = -32 + 16 -6 + 5
f(2) = -17
Therefore, the remainder when dividing f(x) = -4x^3 + 2x^3 -3x+5 by x - 2 is -17.
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Please help no links
Answers
Answer:
x=11
Step-by-step explanation:
These add up to 180 since a straight line = 180 degrees
Your equation is: 4x+15+11x=180
15x+15=180
15x=165
x=11
Answer:
X=11
HOPE THIS HELPS
- Todo ❤️
Step-by-step explanation:
4x+15+11x=180
15x+15=180
180-15=165
165/15=11
X=11
Zachary brought $38. 25 to the state fair. He bought a burger, a souvenir, and a pass. The burger was 1 6 as much as the souvenir, and the souvenir cost 3 4 the cost of the pass. Zachary had $4. 50 left over after buying these items
Answers
It is not possible for Zachary to buy a burger, a souvenir, and a pass with the given prices and have $4.50 left over.
What was the total cost of the burger, souvenir, and pass that Zachary bought at the state fair, if he had $4.50 left over and the burger was 1/6 as much as the souvenir, while the souvenir cost 3/4 the cost of the pass?Let's represent the cost of the souvenir as x.
Then, according to the problem:
The cost of the burger is 1/6 of the cost of the souvenir, which is (1/6)x.
The cost of the pass is 4/3 times the cost of the souvenir, which is (4/3)x.
The total cost of the burger, souvenir, and pass is equal to the amount Zachary brought to the state fair, which is $38.25.
Zachary had $4.50 left over after buying these items, so the cost of the burger, souvenir, and pass must be $33.75.
Putting all this information together, we can write an equation:
(1/6)x + x + (4/3)x = 33.75
Simplifying the left side of the equation:
(7/6)x = 33.75
Multiplying both sides by 6/7:
x = 30
Therefore, the cost of the souvenir is $30, the cost of the burger is (1/6) * 30 = $5, and the cost of the pass is (4/3) * 30 = $40.
To check that these values are correct, we can add them up:
30 + 5 + 40 = 75
And we can subtract the total cost from the amount Zachary brought:
38.25 - 75 = -36.75
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\( \frac{?}{32} = \frac{25}{100} \)
fill in the blank
Answers
8 is your answer.