Answer:
6.2 = Altitude
Step-by-step explanation:
Hypotenuse = 8
Base = 5
Altitude = x
Hypotenuse² = Base² + Altitude²
8² = 5² + Altitude²
64 = 25 + Altitude²
64 - 25 = Altitude²
39 = Altitude²
√39 = Altitude
6.2 = Altitude
What is the equation of the line in standard form?
A. x-2y=4
B. x+2y=4
C. 2x+y=2
D. 2r-y-2
Answer:
D. 2x -y = 2
Step-by-step explanation:
You want to know the standard-form equation of the line through points (-1, 4) and (2, 2) as shown on the graph.
Intercept formThe graph shows the x-intercept of the line is a=1, and the y-intercept of the line is b=-2. This means the intercept form of the equation is ...
x/a +y/b = 1
x/1 +y/(-2) = 1
Standard formMultiplying this equation by 2 gives ...
2x -y = 2 . . . . the standard form equation for the line
__
Additional comment
The standard form equation can also be developed from the coordinates of points on the line:
(y2 -y1)x -(x2 -x1)y = (y2 -y1)x1 -(x2 -x1)y1
(2 -(-4))x -(2 -(-1))y = (2 -(-4))(-1) -(2 -(-1))(-4)
6x -3y = -6 +12
Dividing by 3 gives the standard form equation ...
2x -y = 2
Find the measure of the indicated angle.
99⁰
96⁰
98⁰
92°
L
120°
K
N
M
64
Answer:
? = 92°
Step-by-step explanation:
the chord- chord angle ? is half the sum of the measures of the arcs intercepted by the angle and its vertical angle, that is
? = \(\frac{1}{2}\) (LM + AK) = \(\frac{1}{2}\) (120 + 64)° = \(\frac{1}{2}\) × 184° = 92°
Which is the better buy, 36 cans for $3.32, or 9 cans for $0.91 ?
O They are the same.
O 9 cans for $0.91
36 cans for $3.32
Answer:
36 cans for $3.32
Step-by-step explanation:
36 cans = $3.32
1 can =$ 0.092
9 cans = $0.91
1 can = $0.01
0.09 and 0.1 the cheaper is 0.09 dollars so 36 cans for $3.32 is better
Citizen Bank sent a bank statement to Bane Co. showing an ending balance of $ 1,480. On the bank statement there was a service charge of $20. The bookkeeper of Bane Co. noticed in the reconciliation process a deposit in transit of $200 along with checks outstanding of $300. Complete the reconciliation for Bane assuming a beginning balance of $1,400.
The reconciliation for Bane can be summarized as,
Adjusted bank balance = $1380.
What is meant by bank Reconciliation?A bank reconciliation is defined as a method which is used to match the balances for a cash account in an organization's records of accounting with the bank statement.
Given that,
Beginning checkbook balance is $1400.
Service charge = $20
Adjusted balance = $1400 - $20 = $1380
Also, given that,
Ending balance on the statement = $1480
Deposit in transit = $200
Checks outstanding = $300
Adjusted balance = $1480 + 200 - 300
= $1380
Hence the adjusted balance is $1380.
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Solve the proportion x/8= 3/12. Please help.
Answer:
2
Step-by-step explanation:
\( \frac{x}{8} = \frac{3}{12} \\ \\ x = \frac{8 \times 3}{12} \\ \\ x = \frac{24}{12}\\ \\ x = 2\)
Given the figure below .find X and Y to three significant digits.Write your answer in the answer box provided below
Check the picture below.
Make sure your calculator is in Degree mode.
\(\cos(25^o )=\cfrac{\stackrel{adjacent}{x}}{\underset{hypotenuse}{12}}\implies 12\cos(25^o)=x\implies \boxed{10.876\approx x} \\\\[-0.35em] ~\dotfill\\\\ \sin(25^o )=\cfrac{\stackrel{opposite}{z}}{\underset{hypotenuse}{12}}\implies 12\sin(25^o)=z \\\\[-0.35em] ~\dotfill\\\\ \sin(50^o )=\cfrac{\stackrel{opposite}{z}}{\underset{hypotenuse}{y}}\implies y=\cfrac{z}{\sin(50^o)}\implies y=\cfrac{12\sin(25^o)}{\sin(50^o)}\implies \boxed{y\approx 6.62}\)
Two cities,a and are mapped on the coordinate plane. How far apart are they from each other?
Answer:
\(\sqrt{97} \\ \sqrt{9^{2}+4^{2} }\)
Step-by-step explanation:
Which equation can be used to solve for � xx in the following diagram?
Equation which can be used to solve for the value of x is
3x° + 2x° + 80 °= 180° .
Straight angle pair is the sum of two or more angles that are in pair of angles that form a straight line is always equal to 180°.
As shown in the diagram angle on the lines are -
3x ° , 80° , 2x° respectively
Sum of all these angle will be equal to 180°.
3x° + 2x° + 80° = 180
The correct equation to find the value of x is 3x° + 2x° + 80° = 180° .
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What multiple of 4 is also a factor of 12
Answer:
4 is the lowest possible integer that is a multiple of 4 but is also a factor of 12Step-by-step explanation:
Let's start out by listing out the factors and multiples of 12 and 4 respectively.
=> Factors of 12: 1, 2, 3, 4, 6, 12=> Multiples of 4: 4, 8, 12, 16, 20, 24....We can clearly see that the lowest possible integer that is a multiple of 4 but is also a factor of 12 is 4.
Hence, 4 is the answer.
Hoped this helped.
\(BrainiacUser1357\)
Question 5 please and thank you
One reason to compute a correlation coefficient to measure the strength of the relationship between two variables is that ______.
One reason to compute a correlation coefficient to measure the strength of the relationship between two variables is that quantify the strength and direction of the correlation in a precise and standardized way..
When we have two variables that are related, we say that there is a correlation between them. The most common way to visually represent a correlation is by plotting the data on a scatter plot, where each point represents a pair of values for the two variables.
While a scatter plot is a useful tool to visualize the relationship between two variables, it doesn't tell us how strong or weak the correlation is. For instance, two variables might show a positive correlation, but the scatter plot might be quite dispersed, indicating that there is a lot of variability in the data. In this case, we would say that the correlation is weak. On the other hand, if the scatter plot is tightly clustered around the line, we would say that the correlation is strong.
This is where the correlation coefficient comes in. The correlation coefficient is a mathematical measure that quantifies the strength and direction of the relationship between two variables. It ranges from -1 to 1, where a value of -1 indicates a perfect negative correlation, a value of 0 indicates no correlation, and a value of 1 indicates a perfect positive correlation.
To compute the correlation coefficient, we first need to calculate the covariance between the two variables. Covariance is a measure of how much the two variables vary together, and it is defined as the sum of the products of the deviations of the values from their respective means. Once we have the covariance, we can divide it by the product of the standard deviations of the two variables to get the correlation coefficient.
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Question 13(Multiple Choice Worth 2 points)
(Multi-Step Percent Problems MC)
A gaming system costs $600 and is on sale for 35% off. After the discount, there is a 5% tax. What is the final price of the gaming system?
$409.50
$390.00
$220.50
$210.00
what's the slope of line parallel to the line x-4 = -6
Answer:
Parallel slope is undefined.
Step-by-step explanation:
x - 4 = -6
x = -2
Slope does not exist.
When loaded with bricks, a lorry has a mass of 11600 kg. If the mass of the bricks is three times that of the empty lorry, find the mass of the bricks.
Answer:
8700kg
Step-by-step explanation:
b = mass of bricks
l = mass of lorry
b+l = total mass = 11600kg
b = 3l ==> l = b/3
substitute: b + b/3 = 11600
multiply every term by 3 to get rid of denominator: 3b + b = 34800
simplify and solve: 4b = 34800 ==> b = 8700
check: l = 8700/3 = 2900
2900 + 8700 = 11600? YES
How do I draw a line segment ??? RS
Answer:
draw a line from R to S
Step-by-step explanation:
just a simple line connecting the two, leave out Q and T.
Answer:
connect point R and point S with a straight line
Step-by-step explanation:
It's like connect the dots.... but with letters instead of numbers.
Use the following function to complete this question:
f(x)=(x-1)^3+5
Graph the function and fill in the blanks.
If the transformation listed is not applicable write none.
Fill in the blanks in the form:
4 left
5 up
Write infinity in the form: inf
Horizontal shift:
Vertical shift:
Vertical stretch factor:
Vertical compression factor:
Axis of reflection:
Domain:
Range:
Inflection Point:
Pic is attached below
The following is deduced from the equation f(x)=(x - 1)^3 + 5
Horizontal shift: 1 left
Vertical shift: 5 down
Vertical stretch factor: 1
Vertical compression factor: 1
Axis of reflection: -x + 6
Domain: all real numbers
Range: all real numbers
Inflection Point: (1, 5)
What is vertical stretch factor?The vertical stretch factor is a term used in mathematics to describe the transformation that changes the height of a graph while leaving the horizontal axis unchanged. In other words, it's a factor by which the y-values of a function are multiplied to produce a new, stretched or compressed version of the original graph.
The stretch factor is usually represented by the symbol "k". For example, if the equation of a function is y = f(x), then the equation of its vertically stretched image would be y = k * f(x). A positive value of k stretches the graph upward, while a negative value of k compresses the graph downward. If k > 1, the graph is stretched vertically; if 0 < k < 1, the graph is compressed vertically; if k = 1, the graph remains unchanged.
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Triangle D F E is shown. Angle D E F is a right angle. The length of hypotenuse D F is 25, the length of E F is 15, and the length of D E is 20. Consider △DFE. What are the inputs or outputs of the following trigonometric ratios? Express the ratios in simplest terms. sin( ) = Four-fifths cos(F) = tan(D) =
Therefore, the inputs or outputs of the trigonometric ratios for triangle DFE are:
sin(D) = 4/5
cos(F) = 3/5
tan(D) = 4/3
What is the definition of "triangle"?Three sides, three angles, and three vertices make up the enclosed, two-dimensional shape known as a triangle. In a polygon, a triangle is a facet.
To find the inputs or outputs of the trigonometric ratios for triangle DFE, we can use the definitions of the ratios:
sin(θ) = opposite/hypotenuse
cos(θ) = adjacent/hypotenuse
tan(θ) = opposite/adjacent
In triangle DFE, we have:
opposite side of angle D = DE = 20
adjacent side of angle F = EF = 15
hypotenuse DF = 25
So, we can find the trigonometric ratios for the angles in triangle DFE as follows:
sin(D) = DE/DF = 20/25 = 4/5
cos(F) = EF/DF = 15/25 = 3/5
tan(D) = DE/EF = 20/15 = 4/3
Therefore, the inputs or outputs of the trigonometric ratios for triangle DFE are:
sin(D) = 4/5
cos(F) = 3/5
tan(D) = 4/3
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Answer:
sin(F) = 4/5
cos(F) = 3/5
tan(D) = 3/4
A circle has a diameter of 24 yd. What is its circumference?
A circle has a diameter of 24 yd. What is its circumference?
Answer:
75.4
Step-by-step explanation:
Answer: 75.4 yd
Step-by-step explanation:
Using the formulas
C = 2 π r
d = 2 r
Solving for C
C = π d = π x 24 = 75.39822 yd
75.39822 rounded up is 75.4 so the answer is 75.4 yd.
A paper bag has five colored marbles. The marbles are red, green, blue, yellow, and orange. List the sample space when choosing one marble.
S = {1, 2, 3, 4, 5}
S = {red, blue, green, yellow}
S = {g, r, b, y, o}
S = {green, blue, yellow, orange}
The required sample space when choosing one marble is S = {g, r, b, y, o}. Option C is correct.
What is sample space?The sample space of a sample statistic is the collection of all conceivable results. A random experiment's associated event is a subset of the sample space.
here,
A paper bag contains five different colored marbles. The marbles are in the colors red, green, blue, yellow, and orange.
Sample space is given as,
S = {green, red, blue, yellow, orange}
or
Using abbreviations,
S = {g, r, b, y, o}
Thus, the sample space is S = {g, r, b, y, o}.
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I need help with the answer please :)
Answer:
1.339 Canisters
Step-by-step explanation:
Because you are making 5 meatloafs for a party, and according to the recipe you need 1 1/4 cup of breadcrumbs per each meatloaf. In each canister there is 14/3 cups of breadcrumbs which you can see by multiplying the serving size by the servings per container.
Since you need five meatloafs, you can figure out how many cups of breadcrumbs you need by multiplying 1 1/4 cups by 5. This gives you 6 1/4 or 6.25 cups.
In each canister of breadcrumbs, there are 14/3 cups or 4.667 cups of breadcrumbs.
To figure out how many canisters you need, you divide the amount of breadcrumbs you need (6.25 cups) by the amount of breadcrumbs you have (4.667) which gives you 1.339 canisters.
calculate compound interest on rs 10800 for 3 years at 12.5%p.a compounded annually
Answer:
Substituting P = 10800, r = 12.5 and t = 3,
A=10800(1+12.5/100)³
A=10800(1.125)³
A=10800(1.4238)
A=Rs.15377.343
Step-by-step explanation:
The total amount when Rs. 10,800 for 3 years at 12.5% per annum is compounded annually is Rs. 15377.343. This is the required answer.HOPE IT HELPS YOU ITZADMIRER
The compound interest of the amount is RS 15,377.34
What is the compound interest of the amount deposited?Compound interest is when the debt holder pays interest on the principal and the interest rate already accrued,
The formula for calculating compound interest is:
FV = P (1 + r) nmFV = Future value P = Present value R = interest rate N = number of years10.800 x (1.125)^3 = $15,377.34
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Question
A watermelon is assumed to be spherical in shape while it is growing. Its mass, M kg, and radius, rcm, are related by the formula M = kr³, where k is a constant. It is also assumed that the radius is increasing at a constant rate of 0.1 centimetres per day. On a particular day the radius is 10 cm and
the mass is 3.2 kg. Find the value of k and the rate at which the mass is increasing on this day.
Thus, the mass is increasing at a rate of 0.15625 kg per hour, and the mass on this day is 4.5 kg.
Let's consider a general formula for finding the rate of increase:Rate of increase = k x original valueHere, k is a constant that represents the rate of increase per unit of time, and the original value is the initial value of the quantity being measured.
For example, if the original value is 3.2 kg and the rate of increase is 0.5 kg per hour, we can use the formula to calculate the mass at any time t as follows: Mass at
time t = 3.2 + (0.5 x t)
where t is the time elapsed in hours.In order to find k, we need to know the rate of increase and the original value.
Once we have these values, we can rearrange the formula to solve for
k:k = rate of increase / original value
For example, if the mass is increasing at a rate of 0.5 kg per hour and the original value is 3.2 kg, we can calculate k as follows:
k = 0.5 / 3.2k = 0.15625
To find the rate of increase on a specific day, we need to know how much time has elapsed since the original value was measured. Once we have this information, we can plug it into the formula we derived earlier:Mass at time t = 3.2 + (k x t)For example, if 8 hours have elapsed since the original value was measured, we can calculate the mass on that day as follows:
Mass at time t = 3.2 + (0.15625 x 8)
Mass at time t = 4.5 kg
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PLEASE HELP ASAP!! WILL MARK BRAINLIEST
Answer:
y = 7.
Step-by-step explanation:
The work for this is in the attachment. Since WXY = ZOP, then sides OP and XY are congruent.
Therefore, you can use XY on the other side of the equal sign to figure out the variable.
A landscaping company charges $48 per cubic yard of mulch plus a delivery charge of $28. Find a linear function which computes the total cost C (in dollars) to deliver x cubic yards of mulch.
The linear function for the total cost C is:
\(\text{C} = 28 + 48\text{x}\)What is a function?A function is an expression, rule, or law that defines a relationship between one variable.
Example:
\(f(\text{x}) = 2\text{x} + 1\)
\(f(1) = 2 + 1 = 3\)
\(f(2) = 2 \times 2 + 1 = 4 + 1 = 5\)
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
Charge per cubic yard = $48Delivery charge = $28The total cost for x cubic yards.
\(\bold{C = 28 + 48x}\)
Thus, the function is C = 28 + 48x.
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You leave from (-2, 1) near the ball court and head to (5,0) at the Templo Mayor to pay your respects to the gods. How many units did you travel?
Answer:
\(\displaystyle d = 5\sqrt{2}\)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: \(\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)Step-by-step explanation:
Step 1: Define
Identify
Point (-2, 1)
Point (5, 0)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: \(\displaystyle d = \sqrt{(5--2)^2+(0-1)^2}\)[√Radical] (Parenthesis) Subtract: \(\displaystyle d = \sqrt{(7)^2+(-1)^2}\)[√Radical] Evaluate exponents: \(\displaystyle d = \sqrt{49+1}\)[√Radical] Add: \(\displaystyle d = \sqrt{50}\)[√Radical] Simplify: \(\displaystyle d = 5\sqrt{2}\)Answer:
Solution given:
(x1,y1)=(-2,1)
(x2,y2)=(5,0)
distance=?
we have
distance=\( \sqrt{(x2-x1) ²+(y2-y1) ²}\)
d=\( \sqrt{(5+2)²+(0-1) ²}\)
d=\( \sqrt{50}\)
d=\( 5\sqrt{2}\)units
\( 5\sqrt{2}\)units I travelled.
if p(e and f)=.392, p(e/f)=.56 and p(f/e)=.7, then p(e)=
On solving the provided question, we can say that Probability(A and B) = P(A)P(B|A) and P(E or F) = P(E) + P(F) - P(E and F)
What is probability?Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.
Probability(A and B) = P(A)P(B|A).
P(A and B) = P(B and A), this may also be written as P(A and B) = P(B)P(A|B).
Using the general multiplication rule, we have
P(E and F) = P(E)P(F|E)
.392 = P(E)(.7)
P(E) = .56
P(E and F) = P(F)P(E|F)
.392 = P(F)(.56), so
P(F) = .7
P(E or F) = P(E) + P(F) - P(E and F)
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Round the underlined digit to its nearest place value: 84.68=
Answer:
84.68
Rounded to the nearest 0.01 or
the Hundredths Place.
Step-by-step explanation:
84.68_
You rounded to the nearest hundredths place. The 8 in the hundredths place rounds down to 8, or stays the same, because the digit to the right in the thousandths place is _.
84.68
When the digit to the right is less than 5 we round toward 0.
84.68 was rounded down toward zero to 84.68
freè points for All thank you
Answer:
Thanks
Step-by-step explanation:
And no, thank you for giving these points you have worked so hard for away :)
thank you! have a nice day
Need help answering question 5
Answer:
Step-by-step explanation:
How to find missing side of the triangle
Answer:
3
Step-by-step explanation:
Answer:
3 is the answer
Step-by-step explanation:
perpendicular =xcm
base =4cm
hypotenuse =5cm
By the pythagoras theorem,
p=
\( \sqrt{} \)
h^2-b^2
5^2-4^2
25-16
9
3