Answer:
8.94 if no rounding is necessary.
Step-by-step explanation:
Pythagorean Theorem. What we know is only one leg and the hypotenuse, sooo...
8² + b² = 12²
64 + b² = 144
Subtract 64 from both sides...
64 - 64 + b² = 144 - 64
b² = 80
[tex]\sqrt{80}[/tex] = 8.94 if you're not rounding.
If DB = 18cm and AC = 24cm, Use the properties of rhombus to find the length of one side of the rhombus please helppp!!!!
Answer:
15 cm
Step-by-step explanation:
You need to remember 2 theorems about a rhombus.
1. The diagonals of a rhombus bisect each other
2. The diagonals of a rhombus are perpendicular to each other
In other words, the diagonals of a rhombus are perpendicular bisectors.
BE = 9 and AE = 12
ΔAEB is a right triangle. So, the Pythagorean theorem says
[tex]9^{2} + 12^{2} = AB^{2}[/tex]
[tex]AB^{2}[/tex] = 81 + 144
= 225
AB = [tex]\sqrt{225} = 15[/tex] cm
A negative number is always = the absolute value of a number
Answer:
To find the absolute value of an negative number, just take away the negative sign
The absolute value of a number can NEVER be negative
Step-by-step explanation:
For example, to find the absolute value of -22, it would be 22, since it is 22 points away from zero. To find the absolute value of -99.9, it would be 99.9.
A negative number is NOT always the absolute value of a number.
For example, the absolute value of 34 is, 34. If you plot it on a number line, it is 34 points away from zero, therefore proving a negative number is NOT always the absolute value of a number.
The absolute value of a number can NEVER be negative.
Answer:
The absolute value of a number is always POSITIVE! To find the absolute value, all you need to do is take away the negative sign!
Have a great day!
Milan has a total of 51 nickels and dimes worth $4.95. How many of each coin does she have?
Answer: 75 coins total, 51 nickels and 24 dimes.
Step-by-step explanation:
Based on the scatterplot below what is the most likely value for “Pounds of Apples” when “Number of Apples” is 60?
What value of "p" will the pair of equations
3x + 4y = 12 and px + 12y = 30 NOT have a
unique solution? (Hint: find the slopes
and equate]
Answer:
9
Step-by-step explanation:
Slope is the same as coefficient of x
From the equation
3x+4y=12
Y=(-3/4)x+3
The slope for this eqn is -3/4
For this equation
Px+12y=30
12y=-p+30
Y= (-p/12)x +30/12
The slope is -p/12
To get p
-p/12=-3/4
P=9
The value of "p" is 9 for the pair equations [tex]3x + 4y = 12[/tex], [tex]px + 12y = 30[/tex] which do not have a unique solution. The condition for the pair of equations that do not have a unique solution is that their slopes are equal i.e., [tex]m_1=m_2[/tex].
Solutions to a system of linear equationsA system of linear equations can have,
no solutionexactly one solution or unique solutioninfinitely many solutionsConditions:A system of linear equations is said to have no solution if and only if their slopes are equal and y-intercepts are not equal i.e., [tex]m_1=m_2[/tex] and [tex]c_1\neq c_2[/tex]A system of linear equations is said to have a unique solution or exactly one solution if and only if their slopes must not be equal i.e., [tex]m_1\neq m_2[/tex]A system of linear equations is said to have infinitely many solutions if and only if their slopes, as well as y-intercepts, are equal i.e., [tex]m_1=m_2[/tex] and [tex]c_1=c_2[/tex]Calculating the "p" value for the given pair of equations:Given pair of equations
[tex]3x + 4y = 12\\px + 12y = 30[/tex]
Representing them in the slope-intercept form:
[tex]y=-\frac{3}{4} x+3\\y=-\frac{p}{12}x+\frac{5}{2}[/tex]
As we know that the slope of an equation in the form [tex]y=mx+c[/tex] is m
So, for the two equations slopes are,
[tex]m_1=-\frac{3}{4}[/tex] and
[tex]m_2=-\frac{p}{12}[/tex]
Since it is given that there is no unique solution for the given pair of equations we can write,
[tex]m_1=m_2[/tex]
⇒[tex]-\frac{3}{4} =-\frac{p}{12}[/tex]
⇒[tex]p=9[/tex]
Therefore, the value of "p" when the pair of equations [tex]3x + 4y = 12[/tex] and [tex]px + 12y = 30[/tex] do not have a unique solution is 9.
Learn more about linear equations here:
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A flag pole has a rope that attaches to the ground from the top of the flagpole the rope create a 30° angle with the ground and is attached 10 m from the bottom of the pool how long is the rope in how tall is the flagpole
Answer:
[tex]5.77\ \text{m}[/tex]
[tex]11.54\ \text{m}[/tex]
Step-by-step explanation:
p = Height of pole
h = Length of role
b = Distance between the bottom of the rope and bottom of the pole = 10 m
[tex]\theta[/tex] = Angle between the rope and the ground = [tex]30^{\circ}[/tex]
[tex]\tan\theta=\dfrac{p}{b}\\\Rightarrow p=b\tan\theta\\\Rightarrow p=10\tan30^{\circ}\\\Rightarrow p=5.77\ \text{m}[/tex]
The length of the rope is [tex]5.77\ \text{m}[/tex]
[tex]\cos\theta=\dfrac{b}{h}\\\Rightarrow h=\dfrac{b}{\cos\theta}\\\Rightarrow h=\dfrac{10}{\cos30^{\circ}}\\\Rightarrow h=11.54\ \text{m}[/tex]
The length of the pole is [tex]11.54\ \text{m}[/tex]
which rule descibes the pattern?
Answer:
-1/2
Step-by-step explanation:
I think not 100% sure tho
Answer:
“multiply by 2 and then subtract 1.
Step-by-step explanation:
Juan determines that a triangle has sides that measure 5 cm, 12 cm, and 13 cm. The same triangle also has one 90°° angle and two angles that are less than 90°°. Which best describes the triangle Juan is measuring?
isosceles right
scalene acute
scalene right
equilateral right
Answer:
scalene right
Step-by-step explanation:
A scalene right has no equal side lengths, has a right side(90) and will have two angles less than 90 because all three triangle sides need to equal to be 180. So scalene right is your answer. Hope that helped!
Find the slope of the line that passes through (6, 8) and (10, 9).
Simplify your answer and write it as a proper fraction, improper fraction, or integer
Step-by-step explanation:
Slope is equal to the change in y over the change in x, or rise over run.
[tex]m = \frac{change \: in \: y}{change \: in \: x} [/tex]
The change in x is equal to the difference in x-coordinates, and the change in y is equal to the difference in y-coordinates.
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
Substitute in the values of x and y into the equation to find the slope.
[tex]m = \frac{9 - (8)}{10 - (6)} [/tex]
Simplify.
[tex]m = \frac{1}{4} [/tex]
Therefor, the slope is 1/4.
What are the solutions to x2 + x-7≤0
2+x-7≤0
(2-7=-5)
x-5≤0
+5 +5
x≤5
---
hope it helps
[tex]4x + 2x = 20 \\ x + 3x = 50[/tex]
simotenus equation
Answer:
I think there is an error in the question, I assume it reads:
4x+2y=20
x+3y=50
If not, please make appropriate corrections to the question.
Answer: x=-4, y=18
Step-by-step explanation:
4x+2y=20
Simplify, divide by two,
2x+y=10.....................(1)
x+3y=50....................(2)
Multiply (2) by 2
2x+6y=100 ....................(2a)
Subtract (1) from (2a)
2x+6y - (2x+y) = 100 - 10
5y = 90
y=18..............................(3)
Substitute (3) into (1)
2x+(18)=10
2x = 10-18 =-8
x=-4 ............................(4)
Substitute (3) and (4) into (1) for verification
2x+y = 2(-4)+18 = 18-10 = 10 checks.
Substitute (3) and (4) into (2) for verification
x+3y=-4+3(18) = -4+54 = 50 checks.
Have a nice day!
The floor of a storage unit is 6 ft long and 8 feet wide what is the distance between two opposite corners of the floor
Answer:
10 ft
Step-by-step explanation:
Use theorem pythagoras
Length = x
[tex] {x}^{2} = 8 {}^{2} + {6}^{2} \\ x = - 10 \\ x = 10[/tex]
the answer is 10 because length can't be in negative number
Use the passbook page to answer the question.
Name Ken Ritter
Account 10000000004
Date Deposit Withdrawal Interest Balance
1/02/06 $389.00
$389.00
2/05.06 $25.63
A
3/02/06 $122.33
B
4/02/06
$240 С
4/15,06
$500.00
D
5/06/06 $105.00
E
Ken Ritter was saving for a computer.
What was his balance B after he made two deposits?
O $526.36
o S536.96
OS554.26
O S636.86
Answer:
the answer is 536.96
its asking for you to add the balance (389) with the 2 deposits (25.63, 122.33)
hope this helps
I need help with this problem will mark the brainliest
Answer:
angle C = angle E. that my answer
giving brainliest !! *easy*
um here’s the graph
A? is a graphical display of a set of data where each separate piece of data is shown as a
mark above a number line.
Answer:
dot plot a visual display in which each piece of data is represented by a dot above a number line.
Step-by-step explanation:
Karla invests $10,000 into an account with a 2.2% interest that is compounded annually.
How much money will she have in this account if she keeps it for 5 years?
$11, 162.78 amount she have in this account if she keeps it for 5 years.
What is Future value?Future value (FV) is a financial concept that provides a monetary worth to an asset depending on future variables such as interest rates or cashflows. An investor may find it valuable to know how much their investment will be worth in five years given a projected rate of return. Future value is calculated by taking the investment value now, applying predicted growth, and estimating what the investment will be in the future.
We have,
P = $10,000
R= 2.2%
T= 5 years
So, Amount after 5 years
= P (1 + r/2[tex])^{2t[/tex]
= 10,000 (1 + 0.011[tex])^{0.022(5)}\\[/tex]
= $11, 162.78
Learn more about Future value here:
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Find the average rate of change of f(x)=2x^2-8x from x=2 to x=5. Simplify your answer as much as possible.
f(x)=2x^2-8x from x=2 to x=5. Simplify your answer as much.
We need to find [f(b) - f(a)]/(b - a).
Let a = 2
Let b = 5
f(2) = 2(2)^2 - 8(2)
f(2) = 8 - 16
f(2) = -8
We now find f(5).
f(5) = 2(5)^2 - 8(5)
f(5) = 50 - 40
f(5) = 40
[f(5) - f(2)]/(5 - 2)
(40 - (-8))/(3)
(40 + 8)/3
48/3 = 16
The average rate of change is 16.
A local television station sends out questionnaires to determine if viewers would rather see a documentary, an interview show, or reruns of a game show. There were 300 responses with the following results:
90 were interested in a interview and documentary, but not reruns
12 were interested in an interview show and reruns, but not a documentary
42 were interested in reruns but not an interview show
72 were interested in an interview show but not a documentary
30 were interested in a documentary and reruns
18 were interested in an interview show and reruns
24 were interested in none of the three
Required:
How many are interested in exactly one kind of show?
Answer:
144
Step-by-step explanation:
The best way to attempt this question is to solve it using a Venn diagram
From the given information, Let;
D = documentaries
I = interview shows
G = game show reruns
From the images attached below, we will see how the Venn diagrams are being drawn step by step and calculated.
i.e
= 300 - (90 + 60 + 24 + 6 + 12 + 18 + 24)
= 300 - 234
= 66
∴
No of those interested in exactly one kind of show = 66 + 60 + 18
= 144
∴[tex]\text{144 are interested in exactly one kind of show.}[/tex]
Identify the slope and y-intercept of the line.
8x - 3y = 12
Answer:
y=8/3x-4
Step-by-step explanation:
use the app photomath to get the answers or socratic there free and will help you on homework or tests
Answer:
Step-by-step explanation:
8x-3y=12
-3y=12-8x
y=(12/-3)-8x/(-3)
y= -4+8/3x
slope= 8/3
y-int=-4
Pls help me PLSPLSPLSPLSPLSPLS
Answer:
1
Step-by-step explanation:
As all the others suggest more than two which is what the graph shows
Which statement describes the transformation of ΔABC? Is ΔA'B'C' ≅ ΔABC? Explain. A) ΔABC has reflected across the y-axis and translated left 7. ΔA'B'C' ≠ ΔABC because a reflection and translation are rigid transformations. Rigid transformations dilate the original figure. B) ΔABC has reflected across the x-axis and translated left 5. ΔA'B'C' ≅ ΔABC because a reflection and translation are rigid transformations. Rigid transformations have no effect on the side lengths of the original figure. C) ΔABC has reflected across line y-axis and translated left 5. ΔA'B'C' ≅ ΔABC because a reflection and translation are rigid transformations. Rigid transformations have no effect on the side lengths of the original figure. D) ΔABC has reflected across line p and translated left 7. ΔA'B'C' ≅ ΔABC because a reflection and translation are rigid transformations. Rigid transformations have no effect on the side lengths of the original figure.
Answer:
the answer is D
Step-by-step explanation:
because the! ABC moved 7 points and reflected over line p
The director of Washington County Animal Services wants to learn more about the adoptable pets in local animal shelters. Which of these methods will produce the most representative sample of the population of adoptable pets at shelters in Washington County? O A. The director visits each shelter and evaluates the first 10 cats in each place. O B. The director evaluates all adoptable rabbits at area shelters. O C. The director selects adoptable pet ID numbers at random from each shelter. O D. The director evaluates every adoptable pet at one selected shelter.
Answer: It is C, The director selects adoptable pets ID numbers at random from each shelter!
Step-by-step explanation: I took the quiz on A P E X^^
What is the length of PR?
Answer: The length of PR is 7 units.
Step-by-step explanation:The length of PR is 7 units.
Answer:
A.7
Step-by-step explanation:
In a complete sentence, describe the relevant angle relationships in the following diagram. Find the measures of 푥푥 and 푦푦.
Answer:
Um, what is 푦푦?
Step-by-step explanation:
Answer:
Yes, but actually yes.
Step-by-step explanation:
i need help <3 <3 <3 <3 <3 <3 <3 <3 <3 <3 <3\
Answer:
the cordnate for X is 2 the cordnate for Y is -2
Answer: the coordinate for X is 2 the coordinate for Y is -2.
Step-by-step explanation:
What is the common difference between successive terms in the sequence? 0.36, 0.26, 0.16, 0.06, -0.04, -0.14,
Answer:
The common difference between successive terms in the sequence is -0.1
Step-by-step explanation:
Common difference in an arithmetic sequence:
In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.
0.36, 0.26, 0.16, 0.06, -0.04, -0.14
Subtraction of each term by its predecessor. So
0.26 - 0.36 = 0.16 - 0.26 = -0.1
The common difference between successive terms in the sequence is -0.1
What are the three ordered pairs that should be in the table of values y=2x-3
Answer:
(-2, -7), (0, -3), (2, 1)
Step-by-step explanation:
Equation is given as y = 2x - 3.
To complete the table, plug in each value of x into y = 2x - 3 to get their corresponding y-value.
✔️When x = -2:
y = 2(-2) - 3
y = -4 - 3
y = -7
✔️When x = 0:
y = 2(0) - 3
y = -3
✔️When x = 2:
y = 2(2) - 3
y = 4 - 3
y = 1
Domain and range of graph need ASAP
Answer:
Domain: [tex]-6 \leq x \leq 3[/tex]
Range: [tex]-3 \leq x \leq 6[/tex]
Step-by-step explanation:
The domain is the set of real values which can be inputted into a function and produce a real output. In this case, the domain is the following: [tex]-6 \leq x \leq 3[/tex], because this is the set of real values for which the function will produce a real output.
The range is the set of real values which a function outputs when a value from the domain is entered into the function. This is the set of y-values that one can see on the graph, the possible y-values are in between (-3) and (6).
What is the correct expanded form and value of 43?
O 4+4+4= 12
O 4.4.4=64
O 3+3+3+3= 12
O 3.3.3.3= 81
Your answer would be 4.4.4=64.
Answer:
B. 4・4・4= 46 I hope it helps.