Answer:
HA
Step-by-step explanation:
The hypotenuse-angle theorem proves congruency by comparing the respective hypotenuse and an adjacent angle between two triangles. Since the given values here are the hypotenuse (longest side) and an adjacent angle, the HA theorem can be used to prove congruency between the two triangles.
Hope this helped!
Which line is perpendicular to a line that has a slope of 1 half
Answer:
-2
Step-by-step explanation:
1/2 slope
flip fraction 2/1
change sign -2/1 or -2
$16,000 is deposited into a savings account with an annual interest rate of 2% compounded continuously. How much will be in the account after 4 years? Round to the nearest cent.
The amount in the account after 4 years, rounded to the nearest cent, will be approximately $17,332.8.
Understanding Compound InterestRecall the compounding formula:
A = P * \(e^{rt}\)
Where:
A = Final amount in the account
P = Initial principal (deposit)
e = Euler's number (approximately 2.71828)
r = Annual interest rate (as a decimal)
t = Time in years
Given:
Initial principal (P) = $16,000
Annual interest rate (r) = 2% = 0.02
time (t) = 4 years.
Substitute these values into the formula, we get:
A = $16,000 * \(e^{0.02 * 4}\)
Using a calculator, we can calculate:
A = $16,000 * \(e^{0.08}\)
A = $16,000 * 1.0833
A = $17,332.8
Therefore, the amount in the account after 4 years, rounded to the nearest cent, will be approximately $17,332.8.
Learn more about compound interest here:
https://brainly.com/question/28020457
#SPJ1
Is this a function? Yes or no?
Answer:
NO
Step-by-step explanation:
NO
Will give brainiest
You walk
5/8 miles to a shoe store. Then you walk another 1/3
miles to a grocery store. How many miles have you walked in all?
Write your answer as a fraction in simplest form.
Greetings! Hope this helps!
Answer
7/24 of a mile.
Explanation
5/8 1/3, Find common demoninator
15/24 8/24, Subtract
7/24 simplify
Have a good day!
_______________
A brainliest would help tons! :D
Answer:
23/24 miles
Step-by-step explanation:
You have to simplify the fractions to like terms
The lowest common number that 3 and 8 have in common is 24
1 x 8 = 8
3 x 8 = 24
This makes 8/24
5 x 3 = 15
8 x 3 = 24
This makes 15/24
Now you can add 8/24 and 15/24
8 + 15 = 23
Because it is a common denominator, we do not add it, which makes 23/24
Now you simplify as much as possible (if possible)
Because 23 is not divisable by any other number, 23/24 is the simpliest form
this figure shows Circle O with diameter QS.
mRSQ = 307°, what is the measure of ROQ.
Enter answer in the Box?
Most cats have shoulder heights between 8 and 12 inches. The
following compound inequality relates the estimated shoulder height
(in inches) of a cat to the internal dimension of the skull x (in cubic
inches):
8s 1.03x-32.4 ≤ 12
Which compound inequality represents the range for the skull size of
cats? Answer choices are rounded to the nearest hundredth.
The compound inequality representing the range for the skull size of cats is: 39.32 ≤ x ≤ 43.01.
To find the compound inequality that represents the range for the skull size of cats, we need to solve the given compound inequality:
8 ≤ 1.03x - 32.4 ≤ 12
Let's solve it step by step:
Add 32.4 to all parts of the compound inequality:
8 + 32.4 ≤ 1.03x - 32.4 + 32.4 ≤ 12 + 32.4
40.4 ≤ 1.03x ≤ 44.4
Divide all parts of the compound inequality by 1.03 (the coefficient of x):
40.4/1.03 ≤ (1.03x)/1.03 ≤ 44.4/1.03
39.32 ≤ x ≤ 43.01
Therefore, the range for the skull size of cats can be represented by the compound inequality:
39.32 ≤ x ≤ 43.01
Rounded to the nearest hundredth, the compound inequality representing the range for the skull size of cats is:
39.32 ≤ x ≤ 43.01
Learn more about compound inequality click;
https://brainly.com/question/20296065
#SPJ1
What is the base of a triangle with an area of 207 square inches and a height of 18 inches?
Provide your answer below:
graph each equation by using a table -3=5x-y
The graph of the equation is shown below
Graph of linear equations
From the question, we are to graph the given equation
The given equation is
-3 = 5x - y
To graph the equation,
First we will determine the x-intercept and y-intercept
x-intercept
Put y = 0 in the equation
-3 = 5x - 0
-3 = 5x
x = -3/5
y-intercept
Put x = 0 in the equation
-3 = 5(0) - y
-3 = 0 - y
-3 = -y
y = 3
Using the x-intercepts and y-intercepts, we can plot the graph of the equation.
The graph of the equation is shown below
Learn more on Graphs of linear equations here: https://brainly.com/question/4074386
#SPJ1
what does y intercept mean ?
Answer: The vertical line on a graph representing the vertical coordinate points.
Answer:
In analytic geometry, using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0. Hope this helps.
Step-by-step explanation:
The slope is negative.
True
False
Answer: true
Step-by-step explanation:
Answer:
True
Step-by-step explanation:
The slope provided on the screen shows the function of the graph going in a downward direction from left to right, which is how any slope is negative.
The equation of a parabola is (x−3)2=16(y+7) . What are the coordinates of the vertex and focus of the parabola? What is the equation of the directrix?
The coordinates of the vertex of the parabola are (3, -7). The focus of the parabola is located at (3, -3). The equation of the directrix is y = -11.
The given equation of the parabola is in the form (x - h)^2 = 4p(y - k), where (h, k) represents the vertex and p represents the distance between the vertex and the focus/directrix.
Comparing the given equation with the standard form, we can see that the vertex is at (3, -7).
The coefficient 4p in this case is 16, so p = 4. Since the parabola opens upward, the focus will be p units above the vertex. Therefore, the focus is located at (3, -7 + 4) = (3, -3).
To find the directrix, we need to consider the distance p below the vertex. Since the parabola opens upward, the directrix will be p units below the vertex. Hence, the equation of the directrix is y = -7 - 4 = -11.
In summary, the coordinates of the vertex are (3, -7), the focus is located at (3, -3), and the equation of the directrix is y = -11.
for such more questions on parabola
https://brainly.com/question/29635857
#SPJ8
Wal-Mart is selling cards for $2.75. They bought them for a dollar from the manufacturer. What is the percentage of increase in price?
Answer:
The percentage of increase in price is 175%. To calculate this, you can subtract the cost price (in this case, $1) from the selling price ($2.75) to find the profit ($1.75). Then divide that profit by the cost price and multiply by 100 to express it as a percentage.
$2.75 - $1 = $1.75
$1.75/$1 * 100 = 175%
If you want to calculate the percentage increase in price, use the formula:
Percentage Increase = (New Price - Original Price) / Original Price x 100
In this case, the original price is $1 (the price of buying the cards) and the new price is $2.75 (the price of selling the cards). So, plugging these values into the formula:
Percentage Increase = (2.75 - 1) / 1 x 100 = 175%
The percentage increase in price is 175%.
The Russian ruble coin has a radius of 10.25 mm. What is the circumference in terms of Pi?
5Pi
10Pi
10.25Pi
20.5Pi
Answer:
the answer is 20.5Pi
Step-by-step explanation:
i tried 5pi and it was wrong, it then showed me that 20.5Pi was right
E and F are two events and that P(E)=0.2 and P(F/E)=0.6 what is P(E and F)
The probability of E and F expressed as P(E and F) equals;0.12
How to solve Conditional Probability?We are given;
P(E) = 0.2
P(F|E) = 0.6
Now, P(F/E) is known as conditional probability and it means the probability of event F given the probability of another event E. This can be expressed as; P(F|E) = P(E and F)/P(E)
Thus;
P(E and F) = 0.2 * 0.6
P(E and F) = 0.12
Read more about Conditional Probability at; https://brainly.com/question/23382435
#SPJ1
In the inequality, x (< with line underneath) 8, represents the number of books on a shelf.
How do you know if 8 is a possible value of x?
Answer:
The numbers 8 and lower are possible values of x.
Step-by-step explanation:
The inequality \(x\leq 8\) means x is less than or equal to 8. Therefore, 8 is a possible value of x.
Suppose that the following exponential function gives the dollar value of a certain house that is years old.
A decaying exponential function is modeled as follows:
y = a(1 - r)^t.
In which the parameters are given as follows:
a represents the initial value.r represents the decay rate, as a decimal.For this problem, the function is defined as follows:
y = 476000(0.81)^t.
Hence the values of the parameters are given as follows:
a = 476000, r = 0.19, meaning that the percent decay is of 19%.
More can be learned about exponential functions at https://brainly.com/question/25537936
#SPJ1
Use the two-way frequency table to complete the relative frequency table. Drag the numbers into the boxes.
(30 Points!)
Answer:
Let me know if you can see this SS
Step-by-step explanation:
It has the answers
In a two way frequency table,
"To get the relative frequency divide all frequencies by total frequency"
Therefore, relative frequency table for the given table will be,
Lunch order
Sandwich Pasta Total
Volleyball \(\frac{19}{70}\times 100=27\) \(\frac{15}{70}\times 100=21\) \(\frac{34}{70}\times 100=49\)
Swimming \(\frac{26}{70}\times 100=37\) \(\frac{10}{70}\times 100=14\) \(\frac{36}{70}\times 100=51\)
Total \(\frac{45}{70}\times 100=64\) \(\frac{25}{70}\times 100=36\) \(\frac{70}{70}\times 100=100\)
Learn more,
https://brainly.com/question/12134864
What is the letter for these 2
Answer:
1.) Sin= Sine=opposite/hypotenuse
2.) Tan = well...Tan=opposite/adjecent
Step-by-step explanation:
Soooo, 1.) B
2.) C
sorry if this isn't the answer you're looking for
Is -8 - 2(3 + 2x) + 7x equivalent to -30 -13x?
Answer:
They are NOT equivalent.
Step-by-step explanation:
To find if the expressions are equivalent, we have to simplify the first expression.
Solve:
-8 - 2(3 + 2x) + 7x
Use the distributive property.
-8 - 6 - 4x + 7x
Combine like terms.
-14 - 4x + 7x
-14 + 3x
Since they're not the same, this means that the expressions are NOT equivalent to each other.
Ian gets $9.00 for each hour he works. He also gets $10.00 for each day he works. He made the equation y=9x+10x where x is the number of hours he works.
Explain why his equation will not tell him how much he makes in a day.
Six trigonometric functions of -315.
The quality control manager at a computer manufacturing company believes that the mean life of a computer is 84
months, with a variance of 100
.
If he is correct, what is the probability that the mean of a sample of 99
computers would differ from the population mean by less than 2.5
months? Round your answer to four decimal places.
SEE ATTACHED SOLUTION
At the potluck, there were 6 pecan pies, 7 lemon pies, 13 cherry pies, and 8 apple pies. Determine the ratio of apple pies to the total number of pies.
1. Jamar has two bowls of fruit from which he can choose a
snack when he gets home from school. One bowl has 1 yellow,
1 red, and 2 green apples. The other bowl has 5 each of
boysenberries, strawberries, blueberries, and blackberries.
What is the probability that he gets a yellow apple and a
boysenberry when he reaches into the bowls?
Answer:
One bowl has 1 yellow, 1 red, and 2 green apples. The other bowl has 5 each of boysenberries, strawberries, blueberries, and blackberries.
Step-by-step explanation:
What mathematical formula do you use for the following question. A rectangle whose perimeter is 104 feet has a length that is 12 feet longer than its width what is the area of the rectangle. The answer is 640 square feet 20 feet wide by 32 feet long.
Answer:
Width = 20 inches and Length = 32 inches
Area of rectangle = 640 feet²
Step-by-step explanation:
Perimeter of rectangle = 104 feet
Let width of rectangle = x
Length of rectangle = x+12
We need to find area of rectangle.
First we need to find value of x
The formula used to calculate perimeter of rectangle is: \(Perimeter= 2(Length+Width)\)
Putting values and finding x
\(Perimeter= 2(Length+Width)\\104 = 2(x+12+x)\\104=2(2x+12)\\104=4x+24\\4x=104-24\\4x=80\\x=\frac{80}{4}\\x=20\)
So, Value of x= 20
So, Width x= 20 inches
Length = x+12 = 20+12 = 32 inches
So, Width = 20 inches and Length = 32 inches
Now finding Area
The formula used is: \(Area=Length\times Width\)
Putting values and finding area
\(Area=Length\times Width\\Area=20\times 32\\Area=640 \ feet^2\)
Area of rectangle = 640 feet²
tell weather the fractions are equlivent
Answer:
Step-by-step explanation:
hello :
the fractions a/b and c/d are equlivent if : ad =cb
What are the greatest common factors of 21 and 32?
Answer:
1
Step-by-step explanation:
The biggest common factor number is the GCF number. So the greatest common factor 21 and 32 is 1. Also check out the Least Common Multiple of 21 and 32
The greatest common factor of 21 and 32 is 1.
What is Greatest Common Factor?Greatest common factor or GCF of two numbers is defined as the one common factor of the two given numbers which is the greatest of all the common factors.
GCF is also usually known as Highest Common Factor (HCF).
We have to find the greatest common factors of 21 and 32.
One of the method to find GCF is by prime factorization.
First prime factorize the two numbers. The product of the commonly shared prime factors will be the GCF.
If they don't share any common prime factors, then the GCF will be 1.
21 = 3 × 7
32 = 2 × 2 × 2 × 2 × 2
There are no common prime factors, GCF will be 1.
Hence, the greatest common factor of 21 and 32 is 1 since there are no common prime factors.
To learn more on GCF, click:
https://brainly.com/question/11444998
#SPJ2
Identify the glide reflection rule in the given figure
Answer:
Option (3)
Step-by-step explanation:
Glide reflection of a figure is defined by the translation and reflection across a line.
To understand the glide rule in the figure attached we will take a point A.
Coordinates of the points A and A' are (2, -1) and (-2, 4).
Translation of pint A by 5 units upwards,
Rule to be followed,
A(x, y) → A"[x, (y + 5)]
A(2, -1) → A"(2, 4)
Followed by the reflection across y-axis,
Rule to be followed,
A"(x, y) → A'(-x, y)
A"(2, 4) → A'(-2, 4)
Therefore, by combining these rules in this glide reflections of point A we get the coordinates of the point point A'.
Option (3) will be the answer.
Answer:Reflection along the line y= -1
Step-by-step explanation:
took test
which property is used in the following? 2(8+9)= 2*8+2*9
a. None of the above
b. Association property
c. Commutative property
d. Multiplication property of zero
Answer:
A) None of the above
Step-by-step explanation
it's distributive property
find f(-1) if f(x) = -2x^2 -x
I hope it was helpful to you
if u like follow me