Answer:
B: (3, 4, 5)
Step-by-step explanation:
You want to know which segment lengths could be used to form a triangle.
Triangle inequalityThe triangle inequality requires the sum of the two short sides of a triangle exceed the length of the longest side.
A: 1+2 = 3 . . . not a triangle
B: 3+4 > 5 . . . forms a triangle
C: 1+10 < 100 . . . not a triangle
D: 1+2 < 5 . . . not a triangle
E: 1+3 = 4 . . . not a triangle
F: 1+20 < 100 . . . not a triangle
__
Additional comment
The above expression of the triangle inequality seems to be the one most commonly used in algebra and geometry courses.
The triangle inequality can also be seen to be expressed as ...
a + b ≥ c . . . . . . where a, b, c are side lengths in any order
The "equal to" case allows triangles of zero height. (They look like a line segment.) Using that formulation, triples A and E in your answer list will also be considered to form a "triangle."
Use fundamental identities to find the value. Step by step can u explain.
To answer this question, we will use the following diagram as reference:
To determine the tangent of θ, we have to find the value of x.
To find x, we use the Pythagorean theorem and get:
[tex]4^2=3^2+x^2.[/tex]Therefore:
[tex]x=\sqrt{4^2-3^2}=\sqrt[]{7}.[/tex]Therefore:
[tex]\tan \theta=\frac{3}{\sqrt[]{7}}.[/tex]Answer:
[tex]\tan \theta=\frac{3}{\sqrt[]{7}}.[/tex]Dalia's living room is 12 feet long and 10 feet wide. Her dining room
is also 10 feet wide. Write two equivalent expressions that each
represent the combined area of the two rooms.
10ft
12 ft-
Living
Room
xft-
Dining
Room
(120 + 10x) sq. feet or 10(12+x) sq. feet will be the combined area of the two rooms.
the given dimensions of the living room are given as follows,
length =12
width/breadth =10
thus the area of the living room will be,
length x breadth, i.e.
=12 x 10
=120 sq. feet
the given dimensions of the dining room are given as follows,
length= x
width/breadth=10
thus the area of the dining room can be calculated as
length x breadth
=10x sq. feet
Now, to calculate the combined area of both the rooms, we have to add the area of the dining room and the area of the living room,
that is,
(120 + 10x) sq. feet
What is area?
The area is the entire amount of space occupied by a flat (2-D) surface or an object's shape.
to learn more about area visit:
https://brainly.com/question/25292087
#SPJ9
How many zeroes are in the product of 40 x 107? O A. 6 B. 7 O C. 8 O D. 9
We need to count the number of zeros in a number multiplied by a power of 10. Which is shown below:
[tex]40\cdot10^7[/tex]The power of 10 will add a certain number of zeros, which is equal to the expoent of the power, in this case it's 7, but there is one more zero which is present in the "40", therefore the total number of zeros will be 8.
The elephants at the zoo eat 3 1/6 buckets of bananas each day. The zookeeper bought 6 1/3 buckets of bananas. How many days will the bananas last?
Write your answer as a fraction or as a whole or mixed number.
The bananas will last 2 days at the zoo (found by division).
According to the question,
We have the following information:
The elephants at the zoo eat [tex]3\frac{1}{6}[/tex] buckets of bananas each day. The zookeeper bought [tex]6\frac{1}{3}[/tex] buckets of bananas.
Now, first we will find the number of days taken in eating 1 bucket of bananas.
[tex]3\frac{1}{6}[/tex] buckets = 1 day
Now, we will convert this mixed fraction into simple fraction.
19/6 buckets = 1 day
1 bucket = 1/(19/6) days
1 bucket = 6/19 days
Now, we have the total number of buckets as [tex]6\frac{1}{3}[/tex].
Now, after converting this mixed fraction, we have:
19/3 buckets
1 bucket = 6/19 days
19/3 buckets = (6/19)*(19/3)
19/3 buckets = 2 days
2 is a whole number.
Hence, the given buckets of bananas will last 2 days.
To know more about division here
https://brainly.com/question/18089147
#SPJ1
What is the correct formula for the volume of a cone? Is the correct answer option A B or C?
The formula for the volume of a cone is a third of the product of pi, its height h and the square of its radius r. Then, it is:
[tex]\frac{1}{3}\pi r^2h[/tex]Answer: C
El área de un sector circular de un círculo con radio igual a 8cm y ángulo central igual a 56° es aproximadamente
The sectorial area of the circle is equal 31.3cm^2
Area of a SectorThe formula for the b of the sector of a circle is /360o (r2) where r is the radius of the circle and is the angle of the sector.
Area of a Sector of Circle = (θ/360º) × πr^2, where, θ is the sector angle subtended by the arc at the center, in degrees, and 'r' is the radius of the circle.
Data;
Radius - 8cmangle = 56 degreesThe area of the sector can be calculated using the formula given
[tex]A = \frac{\theta }{360} * \pi r^2[/tex]
Substituting the values into the formula;
[tex]A = \frac{\theta }{360} * \pi r^2\\A = \frac{56}{360}* \pi * 8^2\\A = 31.27cm\\A = 31.3cm^2[/tex]
The area is equal 31.3cm^2
Translation:
The area of a circular sector of a circle with radius equal to 8cm and central angle equal to 56 degrees.
Learn more on area of a sector here;
https://brainly.com/question/22761976
#SPJ1
Point DD is located at (-6,-5)(−6,−5) on the coordinate plane. Point DD is reflected over the xx-axis to create point D'D ′ . What ordered pair describes the location of D'?D ′ ?
The ordered pair that describes the location of N is (2,6)
Given:
N's coordinates are: (-2,-6)
Point N ′ is produced by reflecting point N over the y-axis.
By reflecting point N' over the x-axis, the final point N" is produced.
x , y = -x , y
N(-2 -6) = N'(2 6)
To locate the ordered pair describing where N" is located.
Point N's coordinates are (-2,-6). Point N ′ is produced by reflecting point N over the y-axis.
x , y = -x , y
N(-2 -6) = N'(2 6)
The resultant point N" is created by reflecting point N' over the x-axis.
The ordered pair for point N" is therefore (2,6) gives its location.
Learn more about ordered pairs at
https://brainly.com/question/22312665
#SPJ9
cost equationcost of producing 7 unitswhat is the break point
Answer:
Part A: C(x) = 0.068x+0.8
Part B: 1.28
Part C: 9.76
Explanation:
Part A:
The cost C equals
cost = revenue - profit
[tex]C(x)=R(x)-P(x)[/tex]which is
[tex]C(x)=0.15x-(0.082x-0.8)[/tex][tex]C(x)=0.15x-0.082x+0.8[/tex][tex]\boxed{C\mleft(x\mright)=0.068x+0.8}[/tex]Part B:
The cost of producing 7 units is found by putting in x = 7 into the above equation. This gives
[tex]C(7)=0.068(7)+0.8[/tex][tex]C(7)=1.28[/tex]Hence, the cost of producing 7 items is 1,28 million dollars.
Part C:
To break even, the cost must equal the revenue
[tex]R(x)=C(x)[/tex]or
[tex]0.15x=0.068x+0.8[/tex]subtracting 0.068 from both sides gives
[tex]0.082x=0.8[/tex]dividing both sides by 0.082 gives
[tex]\boxed{x=9.76}[/tex]which is the break-even point
3.Justify each step of the solution by stating the name of the property that was used to get to each step.Given: Step 1: 1.________________________________Step 2: 2. _______________________________Step 3: 17x = 403. _______________________________Step 4: 4. _______________________________Answer:
We are given the following equation:
[tex]2(10-13x)+9x=-34x+60[/tex]In the first step we will use the distributive property on the left side:
[tex]20-26x+9x=-34x+60[/tex]In step 2, we will add like terms on the left side using associative properties of addition and subtraction and we will subtract 20 from both sides, we get:
[tex](20-20)+(-26x+9x)=-34x+(60-20)[/tex]Solving the operations we get:
[tex]-17x=-34x+40[/tex]In step 3 we will add 34x to both sides, this is the inverse additive inverse:
[tex](-17x+34x)=(-34x+34x)+40[/tex]Solving the operations:
[tex]17x=40[/tex]In step 4, we divide both sides by 17, this is the division property of equality:
[tex](\frac{17x}{17})=\frac{40}{17}[/tex]Solving the operations:
[tex]x=\frac{40}{17}[/tex]2. Math on the Spot Solve each equation.
A. 3n+ 1 = 19
B. 21 = -2p - 5
A.
[tex]3n =19 - 1 \\ 3n = 18 \\ \frac{3n}{3} = \frac{18}{3} \\ n = 6[/tex]
B.
[tex]21 + 5 = - 2p \\ 2p = - 26 \\ \frac{2p}{2} = \frac{26}{2} \\ p = 13[/tex]
HOPE THIS HELPS.
72.7% to nearest 10th percent
Answer:
72.7% to nearest 10th percent would be 73%!
Step-by-step explanation:
Hope it helps! =D
Solve the following linear equation using equivalent equations to isolate the variable. Express your answer as an integer, as a simplified fraction, or as a decimal number rounded to two places.
ANSWER
[tex]u=\frac{1}{5}[/tex]EXPLANATION
We want to solve the given linear equation:
[tex]-6u=\frac{-6}{5}[/tex]To do this, divide both sides of the equation by -6 to isolate u and simplify:
[tex]\begin{gathered} \frac{-6u}{-6}=\frac{-6}{5}\cdot\frac{1}{-6} \\ \Rightarrow u=\frac{1}{5} \end{gathered}[/tex]That is the solution to the linear equation.
Select the correct answer.
What is the product of (7) (-16)(-7) (-1)?
A.
B.
-7
9
B. -16
C. -
D. 192
The product of (7) (-16)(-7) (-1) is - 784 by using simple multiplication.
What is multiplication?Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. The symbols for multiplication are a cross (x), an asterisk (*), and dot (.). You seem to utilize the cross a lot when you write in your notebooks. In both algebra and computer languages, the asterisk and dot are symbols (higher mathematics).
7 × -16 = -112
-112 × -7 = 784
784 × -1 = -784
To know more about multiplication click here:
https://brainly.com/question/26583342
#SPJ13
a line contains the point ( -3, -1 ) and has a slope of 1/3. which equation represents this line?
Given:
Slope = 1/3
Contain the point = ( -3,-1 )
Find-:
The equation of a line.
Explanation-:
The general equation of a line is:
[tex]y=mx+c[/tex]Where,
[tex]\begin{gathered} m=\text{ Slope} \\ \\ c=\text{ y-intercept} \end{gathered}[/tex]Given the slope is 1/3, then the equation of the line become.
[tex]\begin{gathered} m=\frac{1}{3} \\ \\ y=mx+c \\ \\ y=\frac{1}{3}x+c \end{gathered}[/tex]The value of y-intercept is:
The point (-3,-1) contains the line so its satisfied the equation.
[tex]\begin{gathered} (x,y)=(-3,-1) \\ \\ \end{gathered}[/tex][tex]\begin{gathered} y=\frac{1}{3}x+c \\ \\ -1=\frac{1}{3}(-3)+c \\ \\ -1=-1+c \\ \\ c=-1+1 \\ \\ c=0 \end{gathered}[/tex]So equation of line become:
[tex]\begin{gathered} y=mx+c \\ \\ y=\frac{1}{3}x+0 \\ \\ y=\frac{1}{3}x \\ \\ 3y=x \\ \\ x-3y=0 \end{gathered}[/tex]The final equation of line is:
[tex]x-3y=0[/tex]Construct a triangle with the given measures. Label all sides and angle measurements. 1. 4 cm, 6cm
Given the two sides measurement,
• Assuming that the other side represent x and the other side represent y,( 4cm;6cm) , and that we are drawing a right angle triangle .We can constuct a triangle as follows :
• We can find the value of side h by using Pythagorean theorem:
[tex]\begin{gathered} \text{ h = }\sqrt[]{x^2+y^2}\text{ } \\ \text{where x = 4}cm\text{ and y = 6}cm\text{ , } \\ \therefore\text{ h = }\sqrt[]{4^2+6^2} \\ \text{ = 7.2 }cm \end{gathered}[/tex]• Subsequently, we will find angle angle , as shown in the diagram above as follows:
[tex]\begin{gathered} \text{For angle }\beta \\ Tan\text{ }\beta\text{ = opposite /adjacent } \\ \text{Tan }\beta\text{ = }\frac{AB}{BC\text{ }} \\ Tan\text{ }\beta\text{ = }\frac{6}{4} \\ \beta\text{ = }\tan ^{-1}(\frac{6}{4}) \\ \text{ =56.3}\degree \end{gathered}[/tex]• Since we have angle ,= 56.3 °, ,we can find, angle :
,• + + 90° = 180 °,....(angles in a triangle adds up to 180°)
∴ = 180° -90° -56.3°
=33.7°
Which of the following is the correct mathematical expression for:
The difference between three times a number and 4
Answer:
3x - 4
Step-by-step explanation:
"Difference" is a clue word that tells you to use subtraction. The other clue word is "times" but that means times, or multiplication and is pretty straight forward.
"Three times a number" means to multiply a number, but we don't know the number, so we use a variable (a letter). I put x but you could use n or c or almost any letter for the variable.
"the difference of ___ and ___" means to subtract those two things.
So we get 3x - 4
How many inches are in 4 feet 6 inches?
6 inches
54 inches
46 inches
48 inches
Answer:
54 inches
Step-by-step explanation:
There are 12 inches in 1 foot
12in = 1ft
There are 4 feet and 6 inches
If you break it down its 4×12
4 × 12 = 48
Add 6 inches
48 + 6 = 54
Therefore the answer would be 54 inches
Your welcome <3
the sum of two consecutive natural number is 36 find the number
please help meeee i am lost
Answer:
The sum of a sequence is known as a series. Thus means a harmonic series is infinite with no limit
PLEASE HURRY
What is the value of the expression 45x − 16 if x is equal to −6?
Answer:
-286
Step-by-step explanation:
45(-6)-16
= -270 - 16
= -286
Step-by-step explanation:
45x - 16
x = -6
45(-6) - 16
-270 - 16
-286
Hope this helps! :)
Miss sheet,owner of the Bedspread shop knows his customers will pay no more than $145 for a comforter Misu wants a 40percent markup on selling price what is most that Misu can pay for a comforter?
The price that Misu can pay for a comforter based on the markup percentage is $103.57.
How to calculate the value?From the information, the Bedspread shop knows his customers will pay no more than $145 for a comforter Misu wants a 40 percent markup on selling price.
Let the selling price be represented as x. Based on the information given, this will be illustrated as:
x + (40% × x) = 145
x + 0.4x = 145
1.4x = 145
Divide
x = 145/1.4.
x = 103.57
The selling price will be $103.57.
Learn more about percentages on:
brainly.com/question/24877689
#SPJ1
I need help on these questions
Question 16
[tex](f(x), g(x))=x^2, (x-9)[/tex]
Note it wants the pair, so you just include the definitions of the functions, not f(x)= and g(x)=Question 17
[tex](f(x), g(x))=\sqrt{x}, 9+\sqrt{x}[/tex]
The values for first question are f(x) = x², g(x) = (x - 9) and for second question f(x) = √x, g(x) = 9 + √x.
A function may be defined as an expression in which for one value of input variable x there is only one value of output variable y. The input variable is called independent variable and output variable is called dependent variable. A composite function is the one which is written as a combination of two function. For two given functions f(x) and g(x) the composite functions are f(g(x)) and g(f(x)). In the first question the composite function is F(x) = (x - 9)². the parent functions will be f(x) = x² and g(x) = (x - 9).
in the second question the composite function is H(x) = √(9 + √x). The parent functions will be f(x) = √x and g(x) = 9 + √x.
Learn more about Composite functions at:
brainly.com/question/17749205
#SPJ1
What is an equation of the line that passes through the point (8,0)(8,0) and is parallel to the line x-4y=20x−4y=20?
The equation of the line that passes through the point (8, 0) is parallel to the line x - 4y = 20 is 1/4x - y = 2
Given,
The equation of the line: x - 4y = 20
The points which the line passes through, (x₁, y₁) = (8, 0)
We have to find the equation of the line parallel to the given line.
The formula for the slope intercept form:
(y - y₁) = m(x - x₁)
m is the slope of the line.
Lets find the slope of the line given.
x - 4y = 20
x = 20 + 4y
x - 20 = 4y
y = (x - 20) / 4
y = 1/4x - 5
Here, slope of the line is 1/4
Now, substitute the slope of the line and (x₁, y₁) in the slope intercept formula to get the equation of line parallel to the given line
(y - y₁) = m(x - x₁)
(y - 0) = 1/4(x - 8)
y = 1/4x - 8/4
y = 1/4x - 2
1/4x - y = 2
Therefore,
The equation of the line that passes through the point (8, 0) is parallel to the line x - 4y = 20 is 1/4x - y = 2
Learn more about equation of the line here:
https://brainly.com/question/19699006
#SPJ1
Can I please get answer for a and b. I just need the answers. Thanks
When we have a function and want to evalueate it for some "x", we just substitute every "x" with the value in parenthesis. So, to evaluate f(a + 2), we have x = a + 2, so we need to substitute every "x" in the function with a + 2:
[tex]f(a+2)=(a+2)^2-2(a+2)+1[/tex]Now, to simplify, we first need to use the distributive property on the second parenthesis and evaluate the binomial in the first:
[tex]f(a+2)=a^2+4a+4-2a-4+1[/tex]Now, we group the like-terms and add them:
[tex]\begin{gathered} f(a+2)=a^2+4a-2a+4+4+1 \\ f(a+2)=a^2+2a+1 \end{gathered}[/tex]For yhe other one, Let's do each term and then make the substraction:
[tex]\begin{gathered} f(a+h)=(a+h)^2-2(a+h)+1 \\ f(a+h)=a^2+2ah+h^2-2a-2h+1 \\ f(a+h)=a^2+h^2+2ah-2a-2h+1 \end{gathered}[/tex][tex]f(a)=a^2-2a+1[/tex]So:
[tex]\begin{gathered} f(a+h)-f(a)=a^2+h^2+2ah-2a-2h+1-(a^2-2a+1) \\ f(a+h)-f(a)=a^2-a^2+h^2+2ah-2a+2a-2h+1-1 \\ f(a+h)-f(a)=h^2+2ah-2h \end{gathered}[/tex]help meeeeeeeeeeeeeeeeeeeeeeee pleaseeeeee
Answer:
it would be 600
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
[tex]P(0)=0.023(0)^3-0.289(0)^2+3.068(0)+55.170=55.17[/tex]
6. Suppose the class takes a test and the following averages are obtained: mean = 80, median= 90, and mode = 70. Tom, who scored 80, would like to know if he did better than half the class. What is your response?
We know that the mean is 80, the median is 90, and the mode is 70. This means that the majority of students got an 80 on the test.
However, the median is 90, which means half of the class is below 90 where Tom's grade is placed.
Hence, he did not do better than half of the class.The table shows the number of restaurants in five different cities Cities numbers of restaurants Carlsbad 489 potters vale 261 little hath 282 edgbaston 216 barrow 317 how many more restaurants are there in Carlsbad than in barrow?
To answer this question, we will use the next table (obtained from the Question Tab):
City -------- Number of restaurants
Carlsbad 489
Potter Valley 261
Little Heath 282
Edgbaston 216
Barrow 317
If we want to know how many more restaurants there are in Carlsbad than in Barrow, we need to subtract the number of restaurants in Barrow from Carlsbad as follows:
[tex]489-317=172[/tex]From the table, we have that in Carlsbad there are 489 restaurants, while there are 317 in Barrow.
We can check this as follows:
In summary, we can say that there are 172 more restaurants in Carlsbad than in Barrow.
Find g(x), where g(x) is the reflection across the y-axis of f(x) = -9x - 4.
Write your answer in the form mx + b, where m and b are integers.
g(x) =
Answer: [tex]9x-4[/tex]
Step-by-step explanation:
Reflecting across the y-axis means [tex]f(x) \longrightarrow f(-x)[/tex].
[tex]g(x)=-9(-x)-4=9x-4[/tex]
Find the vertex of the parabola y=2x^2+8x+7.
Hi i hope this helps you out