Find each of the missing sides of the right triangles using Pythagorean Theorem.
Answers
We need to apply the Pythagorean Theorem, which says that the square of the Hypothenuse is equal to the sum of the squares of the cathetus. So we have:
[tex]\begin{gathered} 41^2=x^2+9^2 \\ 1681=x^2+81 \\ x^2=1681-81 \\ x^2=1600 \\ x=\sqrt[]{1600} \\ x=40 \end{gathered}[/tex]The missing side is equal to 40.
Related Questions
PLEASE HELP ASAP FOR 20 POINTS
Answers
Answer: 2/3
Step-by-step explanation:
2/9+4/9
6/9
(2 * 3)/(3 * 3)
2/3
What are fractions?
A fraction is a mathematical representation of anything made up of several parts. Knowing how to use operations such as addition, subtraction, multiplication and division to operate them is one of the most useful math skills in everyday situations and provides an important foundation for other math concepts you will encounter.
If this helped you please mark this answer as the brainliest thank you!
select the equation that contains the points (-1,-8) and (3,4)
Answers
it would help if we were given the equations to choose from ^^'
Answer:
y = 3x - 5
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, - 8 ) and (x₂, y₂ ) = (3, 4 )
m = [tex]\frac{4-(-8)}{3-(-1)}[/tex] = [tex]\frac{4+8}{3+1}[/tex] = [tex]\frac{12}{4}[/tex] = 3 , then
y = 3x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (3, 4 ) , then
4 = 9 + c ⇒ c = 4 - 9 = - 5
y = 3x - 5 ← equation containing the 2 points
Find the value of x.answer choicesA. 70B. 65C. 30D. 40
Answers
ANSWER
[tex]70[/tex]EXPLANATION
In the given diagram;
The third angle on the triangle is calculated thus;
Let the third angle of the triangle be y;
[tex]\begin{gathered} y+15+20=180 \\ y=180-(15+20) \\ y=180-35 \\ y=145 \end{gathered}[/tex]Now, the inscribed angle and angle y are on a straight line
Let the inscribed angle be denoted by z, hence;
By sum of angles on a straight line
[tex]\begin{gathered} z+145=180 \\ z=180-145 \\ =35 \end{gathered}[/tex]Recall that intercepted arc is twice of inscribed angle, hence;
[tex]\begin{gathered} x=2z \\ =2\times35 \\ =70 \end{gathered}[/tex]which one is the right answer
Answers
The slope of the line for Carlo's plot represents The average change in the number of hot cocoas sold for every additional degree of the day's high temperature.
How to determine the interpretation of the slope of the line for Carlo's plotInformation given in the question include
A plot the number of hot cocoas he sold relative to the day's high temperature and then draw the line of best fit
The data is plotted as a linear function
What is linear function ?
A linear function consists of functions where the variables has exponents of 1. The graph of linear functions is a straight line graph and the relationship is expressed in the form.
y = mx + c
The slope is represented as m, The slope by definition is the change of the output values to the input values
the output is hot cocoa soldthe input is high temperature in degree FahrenheitThis matches with option B
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A boutique owner needs to sell $1,200 in clothing each week. This week, she is within $125 of her goal.
Write an absolute value equation to represent the scenario. (2 points)
A.
|x + 1,200| = 125
B.
|x - 1,200| = 125
C.
|x + 125| = 1,200
D.
|x - 125| = 1,200
Answers
Answer:
B. |x - 1,200| = 125
Step-by-step explanation:
You want an absolute value equation to represent the fact that a boutique owner is within $125 of reaching her goal of selling $1200 each week.
DifferenceThe equation will represent that the positive difference between sales (x) and the goal (1200) is equal to 125:
|x -1200| = 125 . . . . . . . . matches choice B
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Which expression is a perfect square trinomial?
a.36x2+12x−1
b.100x2−20x+1
c.2x2+64x+36
d.x2−2x+2
Note. Help please i am having trouble
Answers
Answer:
b.
Step-by-step explanation:
100x2−20x+1
= (10x - 1)(10x - 1)
= (10x - 1)^2.
What is the probability of rolling a number less than 4 on a number cube labeled 1 through 6?
Answers
Answer:
1/3
Step-by-step explanation:
just took the quiz
Tom has a new set of golf clubs. Using a club 8, the ball travels an average distance of 100 meters. Using a club 7, the ball travels an average distance of 108 meters. Using a club 6, the ball travels an average distance of 114 meters. How far will the ball go if Tom uses a club 5?
Answers
The ball go 118 m if Tom uses a club 5
Define Arithmetic series?An arithmetic series is the sum of a sequence {a_k}, k=1, 2, ..., in which each term is computed from the previous one by adding (or subtracting) a constant d.
Given,
Using a club 8, the ball travels an average distance of 100 m.
Using a club 7, the ball travels an average distance of 108 m.
Using a club 6, the ball travels an average distance of 114 m.
club 8 → 100 m
club 7 → 108 m (100 + 8)
club 6 → 114 m (108 + 6)
club 5 → 118 m (114 + 4)
The distance is reducing by 2. so we find the series of sequence difference of 2 i.e, 8, 6, 4 and so on
Therefore, the ball go 118 m if Tom uses a club 5.
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Problem: The table shows expressions to represent the number of 8th grade students
enrolled in different electives. The number of students enrolled in Art and Music is equal
to the number of students enrolled in Band and Journalism. Write and solve an equation.
Then find the number of students enrolled in each elective.
Class
Band
Art
Music
Journalism
What are you trying to find out:
Workspace:
# of Students
2n
7n+6
4n-2
2(4n+6)
Total
Solution:
I
Answers
So, the number of students in Band, Art, Music and Journalism are 2n, 7n+6, 4n-2 and 2(4n+6) respectively.
Since the number of students enrolled in Art and Music is equal to the number of students enrolled in Band and Journalism, we have the equation
7n + 6 + (4n-2) = 2n + 2(4n+6).
We now expand the brackets :
7n + 6 + 4n - 2 = 2n + 8n + 12
-> 11n + 4 = 10n + 12
-> 11n + 4 - 10n - 12 = 0
-> n - 8 = 0
-> n = 8.
Therefore, the number of students that enrolled in :
Band : 2n = 16 students.
Art : 7n + 6 = 62 students.
Music : 4n - 2 = 30 students.
Journalism : 8n + 12 = 76 students.
76 = 16 = 62 + 30 = 92, satisfying the requirement.
A rectangle has length 3x + 4 and width 2x - 1. What is the perimeter of the rectangle?
Responses
A 10x + 610x + 6
B 10x + 1010x + 10
C 5x + 35x + 3
D 6x² + 5x - 4
Answers
Answer:
I believe the answer is 10x + 6
Step-by-step explanation:
well we know that the same length and width of a rectangle is twice . this means that you can multiply the length and width by 2 to get the perimeter and add them . so by foiling you will have 2(3x+4) + 2(2x-1). you can solve this and simplify it to get 6x + 8 + 4x - 2 . simplify this more to get 10x + 6.
I'm a little confused because I do not see an answer on your question that says 10x + 6 . can you add a diagram, formatting, or more context if I am wrong?
Given: c || d, <1 = <7
Prove: a || b
(PLEASE HELP IM REFERRING TO QUESTION 5 ON THE IMAGE)
Answers
Prove that a || b
What is Angles?
An angle is a shape created by two rays that share a terminus and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.
Given,
c || d
<1 = <7
We have to prove a || b
∠1 = ∠5 corresponding angles of lines a and b
∠1 = ∠4 are alternate interior angles of lines a and b
∠5 = ∠7 corresponding angles of lines a and b
∠3 = ∠7 corresponding angles of lines a and b
Therefore, a || b by converse corresponding angle theorem
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Jack works as a math tutor. He charged a flat rate of $50 per group per class. He spends $6
for each student' s material.
(a)
y=1
Using variables x to represent the number of students in a group and y to represent the
amount he can make out of each class, write the linear function.
Answers
Answer: yo what?
Step-by-step explanation:
G.C.F for 42 and 19 I dont know what it is help.
Answers
Answer:
1
Step-by-step explanation:
6. In Naleeyah's favorite video game, Coin Collector, she earns 24 points for every 8 coins she
finds. In the first level. Naleeyah found 30 coins. How many points did she earn in the first
level?
Answers
Answer: 6 points
Step-by-step explanation:
add 24 plus 8
you should get the total of 192
after that
divide 30 divided by 8
you should get the answer of 6
now you need to add 24 plus 6 and you will get the sum of 30
Given f(x)=-2x+5, find f (-1)
Answers
Answer:
3
Step-by-step explanation:
Plug -1 into the function f(x):
[tex]f(x)=-2x+5 \\f(-1)= (2)(-1) + 5[/tex]
And solve:
[tex]f(-1)=-2+5 \\f(-1) = 3[/tex]
So, f(-1) is 3.
An auto mechanic converts a metric part to 0.473 in. The part comes only in fractional sized given to the nearest 64th of an inch. What would be the closest size?
Answers
Answer:
30/64 inches.
Explanation:
The size of the converted metric part = 0.473 in.
Now, we know that:
[tex]\frac{1}{64}=0.015625[/tex]Therefore:
[tex]\frac{0.473}{0.015625}=30.272\approx30[/tex]Thus, we have that:
[tex]0.473\approx\frac{30}{64}\text{ inch}[/tex]To the nearest 64th of an inch, the closest size will be 30/64 inches.
Malik went to the store to buy some apples. The price per pound of the apples is $5.50 per pound and he has a coupon for $2.25 off the final amount. With the coupon, how much would Malik have to pay to buy 5 pounds of apples? Also, write an expression for the cost to buy p pounds of apples, assuming at least one pound is purchased.
PLEASE PLEASE PLEASE HURRY NO BAD ANSWERS
Answers
The amount that Malik have to pay to buy 5 pounds of apples is $25.
The expression for the cost to buy p pounds of apples, assuming one pound is purchased is 5.50p - 2.25.
What is an expression?An expression simply consists of one or more numbers that are along the operation that is given. An expression or mathematical expression is a finite combination of symbols that is well-formed according to context-dependent norms.
In this case, the price per pound of the apples is $5.50 per pound and he has a coupon for $2.25 off the final amount.
The amount to amount that Malik have to pay to buy 5 pounds of apples will be:
= 5.50p - 2.25.
where P = number of pounds
p = 5
This will be:
= 5.50p - 2.5
= 5.5(5) - 2.5
= 27.5 - 2.5
= 25
The amount paid is $25.
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BRAINLIEST!!! SOLVING LITERAL EQUATIONS!
Answers
Answer:
(1) x=BC (2) h=A+-πr^2 (3) ef+-ab (4) x=y+-3 (5) x=C+-B
2πr d A
Step-by-step explanation:
See above
determine the equation of the ellipse with center (2,2), focus (2,0), and vertex (2,5).multiple choices
Answers
Given:
The ellipse has center (2,2), focus (2,0), and vertex (2,5).
The equation of elllipse is given as,
[tex]\frac{(x-h)^2}{b^2}+\frac{(y-k)^2}{a^2}=1[/tex]a is the distance between vertex and center.
[tex]\begin{gathered} a=\sqrt[]{(2-2)^2+(5-2)^2} \\ a=\sqrt[]{3^2}=3 \end{gathered}[/tex]c is distance between focus and center.
[tex]\begin{gathered} c=\sqrt[]{(2-2)^2+(0-2)^2} \\ c=\sqrt[]{4} \\ c=2 \end{gathered}[/tex]It gives,
[tex]\begin{gathered} c^2=a^2-b^2 \\ 2^2=a^2-b^2 \\ b^2=9-4 \\ b^2=5 \\ b=\pm\sqrt[]{5} \\ b=\sqrt[]{5}\ldots\ldots\text{ Since b is distance and it should be positive} \end{gathered}[/tex]So, the equation of the ellipse is,
[tex]\begin{gathered} \frac{(x-h)^2}{b^2}+\frac{(y-k)^2}{a^2}^{}=1 \\ \frac{(x-2)^2}{(\sqrt[]{5})^2^{}}+\frac{(y-2)^2}{3^2}=1 \\ \frac{(x-2)^2}{5^{}}+\frac{(y-2)^2}{9^{}}=1 \end{gathered}[/tex]Answer: option b)
Write an equation with a variable on both sides of the equal sign that has indefinitely many solutions. Solve the equation and explain why it has an infinite number of solutions
Answers
Answer:
See below
Step-by-step explanation:
Many answers 3x + 2 = 2x + x + 2
combine like terms
3x + 2 = 3x + 2 Subtract 3x from both sides
2 = 2
This means that there are infinite solutions. Any number that I replace x with will make a true statement.
Lett's say x = 5
3x + 2 = 2x + x + 2
3(5) + 2 = 2(5) + 5 + 2
15 + 2 = 10 + 5 + 2
17 = 17
What if we try 10?
3x + 2 = 2x + x + 2
3(10) + 2 = 2(10) + 10 + 2
30 + 2 = 20 + 10 + 2
32 = 32
When I combine the like terms the left side looks just like the right side.
3x + 2 = 2x + x + 2
3x + 2 = 3x + 2. Any number that I put in for x will work.
Combine like terms on both sides of the equation.
5x + 3 - 4x = 3 + x What to do: (5x + 4x =1x or just x)
x + 3 = 3 + x
Isolate the x term by subtracting x from both sides
x + 3 = 3 + x
-x - x
————————
3=3
Since 3 does, in fact, equal 3, it implies there are an infinite number of solutions to this equation. The solution can be written as indefinite solutions or all real numbers.
Laws of Exponents Solve and put your answers into the blue boxes (put the Exponent into the smaller one). If you are correct part of the mystery picture will be revealed. If you are incorrect the wrong color will appear! Once you have finished all the questions you have the option to highlight any mistakes.
8⁶ ÷ 8⁷ = (5²)⁹ =
9⁸ ÷ 9⁴ = (2⁶)² =
6⁵ · 6² = 2³ ⋅ 2² =
(7⁸)³ = 4⁵ ÷ 4³ =
(5⁶)⁴ = 5⁷ ÷ 5⁸ =
2⁶ · 2⁷ = 3⁵ ⋅ 3³ =
8⁴ · 8⁹ = (7⁵)⁶ =
9³ ÷ 9⁹ = 2² ÷ 2⁸ =
(5⁷)⁴ = 7⁹ ÷ 7⁴ =
9³ ÷ 9⁴ = 9⁴ ‧ 9⁴ =
Laws of Exponents Solve and put your answers into the blue boxes (put the Exponent into the smaller one). If you are correct part of the mystery picture will be revealed. If you are incorrect the wrong color will appear! Once you have finished all the questions you have the option to highlight any mistakes.
8⁶ ÷ 8⁷ = (5²)⁹ =
9⁸ ÷ 9⁴ = (2⁶)² =
6⁵ · 6² = 2³ ⋅ 2² =
(7⁸)³ = 4⁵ ÷ 4³ =
(5⁶)⁴ = 5⁷ ÷ 5⁸ =
2⁶ · 2⁷ = 3⁵ ⋅ 3³ =
8⁴ · 8⁹ = (7⁵)⁶ =
9³ ÷ 9⁹ = 2² ÷ 2⁸ =
(5⁷)⁴ = 7⁹ ÷ 7⁴ =
9³ ÷ 9⁴ = 9⁴ ‧ 9⁴ =
Answers
Answer:
1. 5¹⁸2. 2¹²3. 2⁶4. 4²5. 5¹ or 56. 3⁸7. 7³⁰8. 1/329. 7⁵10. 9⁸find the area of the circle
Answers
Answer:
i got 12.56
Step-by-step explanation:
hope this helped :P
Answer:
12.56
Step-by-step explanation:
2*2*π= 4π. You use 3.14 for π. Then you multiply 2*2*3.14, which is 12.56 inches^2
2,5X+10=15
Solve please
Answers
Answer:
x = 2
Step-by-step explanation:
assuming you mean
2.5x + 10 = 15 ( subtract 10 from both sides )
2.5x = 5 ( divide both sides by 2.5 )
x = 2
Are the lines AB and CD perpendicular if the points defining the lines have coordinates of A(3,-2) B(6,13) C(-5,8) and D(5,6)? Justify your answer.
Answers
we find the slopes of the lines:
first line
[tex]\text{slope}=\frac{y2-y1}{x2-x1}=\frac{13-(-2)}{6-3}=\frac{13+2}{3}=\frac{15}{3}=5[/tex]second lline
[tex]\text{slope}=\frac{6-8}{5-(-5)}=-\frac{2}{5+5}=-\frac{2}{10}=-\frac{1}{5}[/tex]then, Two lines are perpendicular if & only if the product of their slopes equals -1, which is the case for 5 and -1/5.
answer: the lines are perpendicular
Solve number 8 please
Answers
Multiply the Polynomials:
(2x+3) (-x+2y-4)
Answers
The result of multiplying the polynomials is (2x + 3) (-x + 2y - 4) = -2x² + 4xy - 11x + 6y - 12
How to multiply the polynomials?The polynomial expression is given as
(2x + 3) (-x + 2y - 4)
Expand the brackets in the above polynomial expression
So, we have
(2x + 3) (-x + 2y - 4) = 2x * (-x + 2y - 4) + 3 * (-x + 2y - 4)
Open the brackets in the above polynomial expression
So, we have
(2x + 3) (-x + 2y - 4) = -2x² + 4xy - 8x + -3x + 6y - 12
Evaluate the like terms in the above polynomial expression
So, we have
(2x + 3) (-x + 2y - 4) = -2x² + 4xy - 11x + 6y - 12
Hence, the solution is -2x² + 4xy - 11x + 6y - 12
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I need help with #4, I don't get it.
Answers
Answer: Dilation, scale factor of 2.
Step-by-step explanation: The scale factor would be the number we multiply the 4 by 6 rectangle to get the 8 by 12 rectangle print.
Since we start with a rectangle with a length of 6 and a width of 4, and the measurements are changed to 8 and 12, we know the scale factor is 2. The scale factor is two because 4 • 2 is 8, and 6 • 2 is 12. Out of the transformations, (reflection, rotation, translation, dilation) the only one that includes a scale factor would be dilation. We also know it’s a dilation since the print is getting larger, and the pre image and image are not the same.
There are 198,714 people living in Belleville. What is the number of people rounded to the nearest ten thousand?What digit is in the ten thousands place?Which place is used to decide which way to round the ten thousands place?What is the digit in this place?Should you round the number in the ten thousands place up or down?What happens when you round up a 9?What do you do when the value of a place is 10 or more?What is the value of the ten thousands place when the number is rounded to the nearest tenthousand?What is 198,714 rounded to the nearest ten thousand?What is 302,895 rounded to the nearest thousand?What is 7,142 rounded to the nearest ten?Round 24,793 to the nearest hundred.?
Answers
198714 to the nearest ten thousand:
[tex]198714\approx200000[/tex]The digit in the ten thousands place is:
[tex]9[/tex]Which place is used to decide which way to round the ten thousands place:
The second place from the left
--------------------------------
302895 to the nearest thousand:
[tex]303000[/tex]7142 to the nearest ten:
[tex]7140[/tex]24793 to the nearest hundred:
[tex]24800[/tex]How much will you be charged for buying 0.85 yards of fabric if the fabric costs $7.86 per yard
Answers
Answer: 6.68 dollar
Step-by-step explanation:
Since you are charged 7.86 per yard, you multiply that by the amount you would buy. 0.85*7.86 is 6.681. But since you can't spend 0.001, you round to the nearest hundreths, 6.68.
$7.86x
x= yards
x=0.85
$7.86(0.85)= $6.68
You will be charged 6.68 for 0.85 yards of fabric .
my rectangular house is 30 feet by 40 feet. My goat Cassidy is outside on a 50-foot-long leash that is connected to a corner of my house. What is the area of the region in which Cassidy can roam?
Answers
Total area of the region in which the goat can roam is: 6283.2 ft² (nearest tenth)
What is a circle?A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.
The rectangular house is ABCD.
Given that rectangular house is 30 feet by 40 feet. Therefore, the goat Cassidy is outside on a 50-foot-long leash that is connected to a corner of my house.
Area of a circle = πr²
where r is the radius.
Therefore, Total area of the region in which the goat can roam is:
Area = 3/4πr² + 1/4πr² + 1/4πr²
Area = 3/4π(50)² + 1/4π(20)² + 1/4π(10)²
Area = 1875π + 100π + 25π
Area = 2000π = 6283.2 ft² (nearest tenth)
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