Answer:
97.4 b)
Step-by-step explanation:
dude ur also right in this question lol
6. Given the right triangle JKL, identify the locations of sides j. k, and I in relation to angle L in terms of opposite, adjacent, and hypotenuse.
Picture Below
Answer:
k is the hypotenuse,
l is the opposite
j is the adjacent
Step-by-step explanation:
assuming L is theta
PLEASE HELP IM STUCK
Step-by-step explanation:
we have
2y = 4x - 9
and we want it to look like
...x + ...y = -9
simple.
the y term is already on the left side. we need to move the x term to the same side.
what do we do ? we subtract the term we want to get rid of on one side from both sides (we always have to do changes in both sides of the equation, or we change the whole meaning of the equation).
2y = 4x - 9 | -4x on both sides
-4x + 2y = -9
and we are finished. that's it.
Answer:
-4x + 2y = -9
Step-by-step explanation:
Pre-Solving InformationWe are given the equation 2y=4x-9, and we want to convert it into standard form.
Standard form is written as ax+by=c, where a, b, and c are free integer coefficients, however a and b cannot be 0.
SolvingNotice how in standard form, x and y are on the same side. Currently, x and y are on different sides.
Therefore, we first need to get x and y on the same side.
We can do this by subtracting 4x from both sides.
2y = 4x - 9
-4x -4x
_____________
-4x + 2y = -9
As indicated by the -9 on the left side, we have solved the question, and are now done.
Hence, the answer is -4x + 2y = -9.
From a point 50 feet in front of a church, the angles of elevation to the base of the steeple and the top of the steeple are 35∘ and 47∘40′ respectively. Find the height of the steeple.
The height of the steeple is 12.66 feet.
Find the number of heightTo find the height of the steeple, we will use the concept of angle of elevation. Angle of elevation is the angle between the horizontal line and the line of sight when we look up at an object.
Let's denote the height of the church as h1 and the height of the steeple as h2. Then, the total height of the church and the steeple is h1 + h2.
Using the concept of angle of elevation, we can write the following equations:
tan(35°) = h1/50 tan(47°40') = (h1 + h2)/50
Solving the first equation for h1, we get:
h1 = 50 * tan(35°) = 35.08 feet
Substituting the value of h1 into the second equation and solving for h2, we get:
50 * tan(47°40') = 35.08 + h2
h2 = 50 * tan(47°40') - 35.08
= 47.74 - 35.08 = 12.66 feet
Therefore, the height of the steeple is 12.66 feet.
Learn more about angle of elevation at https://brainly.com/question/12951657
#SPJ11
Half of a number when added to 42 becomes 50. What is the original number?
Answer:
16
Step-by-step explanation:
50-42=8
8 times 2 is 16
Answer:
16
Step-by-step explanation:
42+8=50 then you double that number and 8x2 is 16 therefore the number must be 16
A hemisphere-shaped security mirror fits exactly inside a rectangular prism box with a square base that has edge length 10 inches. What is a reasonable estimate for the volume of this mirror?
Answer:
Less than 500 cubic inches
I'm not sure if I'm right
Step-by-step explanation:
In the figure below, if line r is parallel to line s, mA = 4x+9 and m
Answer:
(look at the picture)
In the accompanying diagram, name the angle pairs that form a linear pair
Linear pairs are the angles which formed a straight line
Look at your figure
Which angle pairs formed a straight line
Angle 1 and angle 5 formed a straight line
The sum of them = 180 degrees
Angles 1, 2, and 3 formed a straight line
The sum of them = 180 degrees
Angles 2, 3, and 4 formed a straight line
The sum of them is 180 degrees
Angles 4 and 5 formed a straight line
The sum of them = 180 degrees
So, the linear pairs are
Angle 1 and angle 5
Angle 4 and angle 5
Paul has $65 saved in his bank account. He withdrew $3 each month until he had $38. For how many months did Paul withdraw money
Answer: 9 months
Explaination: First subtract the total price which is $65 and subtract it by the final amount of money he had which is $38. Doing this you should get $27. To find the number of months divide it by 3 and you should get 9 months! Hope this helps! :)
Answer:
9 months
Step-by-step explanation:
$65 - $38 = $27 (the amount of money he had withdrew.)
27 ÷ 3 = 9
(since every month Paul withdrew $3.)
So, Paul withdrew $27 from his original balance of $65 to get his ending balance of $38. That means, if Paul withdrew $3 each month, he withdrew money for 9 months.
I would appreciate brainliest, if not that's ok!
I need this asap
13 points (SHOW WORK)
Answer: 23
6*6=36 total area
3*3=9
2*2=4
9+4=13
36-13=23 shaded area
Consider the function given below: (defun things (x) (if (null x ) '() (if (>(carx) 10) (cons(+(carx) 1) (things (cdrx))) (cons (- (car x) 1) (things (codr x)) ) 1 ) 1 Show the evolution resulting from the following call: USP> (things '(11-2 31))
The evolution of the function call (things '(11 -2 31)) is as follows:
(things '(11 -2 31)) -> (things '(-2 31)) -> (things '(31)) -> (things '()) -> '() the final result of the given call is '().
The given function is a recursive function called "things" that takes a list as input. It checks if the list is empty (null), and if so, it returns an empty list. Otherwise, it checks if the first element of the list (car x) is greater than 10. If it is, it adds 1 to the first element and recursively calls the "things" function on the rest of the list (cdr x). If the first element is not greater than 10, it subtracts 1 from the first element and recursively calls the "things" function on the rest of the list. The function then returns the result.
Now, let's see the evolution resulting from the call (things '(11 -2 31)):
1. (things '(11 -2 31))
Since the list is not empty, we move to the next if statement.
The first element (car x) is 11, which is greater than 10, so we add 1 to it and recursively call the "things" function on the rest of the list.
The recursive call is (things '(-2 31)).
2. (things '(-2 31))
Again, the list is not empty.
The first element (car x) is -2, which is not greater than 10, so we subtract 1 from it and recursively call the "things" function on the rest of the list.
The recursive call is (things '(31)).
3. (things '(31))
The list is still not empty.
The first element (car x) is 31, which is greater than 10, so we add 1 to it and recursively call the "things" function on the rest of the list.
The recursive call is (things '()).
4. (things '())
The list is now empty, so the function returns an empty list.
To know more about function visit:
brainly.com/question/30721594
#SPJ11
Direction: Choose the letter that you think best answers each of the following questions. 1. What is that branch of pure mathematics that deals with the relations of the sides and angles of triangles? A. algebra B. geometry C. trigonometry D. calculus side? 2. With respect to the given angle, what is the ratio of the hypotenuse to the opposite A. sine B. cosine C. cosecant D. secant 3. What is the opposite side of angle D? A. DF B. DE C. EF D. DEF D E F
Answer:
1. C
2.A
3.A
Step-by-step explanation:
Help me with this question.
Answer:
The equation for the nth term of the arithmetic sequence is:
\(a_{n} = a + (n-1)d\\\)
The \(a_{30}\) is 140
Step-by-step explanation:
"a" represents the first term which is -5.
"d" represents the common difference which is 5.
To find the common difference, just subtract the 2nd and 1st term.
0 - (-5) = 5
Now put the values in the equation:
\(a_{n} = a + (n - 1)d\\a_{n} = (-5) + (n - 1)5\)
We are finding the 30th term so just put 30 to the "n" to help us find the 30th term of the sequence.
\(a_{30} = -5 + (30-1)5\\a_{30} = -5 + (29)5\\a_{30} = -5 + 145\\a_{30} = 140\)
So the 30th term is 140
pls help I give brainiest
Answer:
-6
Step-by-step explanation:
The equation for this line is y=x-3, so the equation turns into
y=-3-3
-3-3=-6
so therefore, y=-6 when x=-3
Answer:
It would be Zero, because x is -3.
So y would be 0.
Step-by-step explanation:
an insurance company has determined that each week an average of nine claims are filed in their atlanta branch. what is the probability that during the next week: exactly seven claims will be filed? no claims will be filed? less than four claims will be filed?
There is a 9.16% probability that exactly seven claims will be filed in the next week.
There is a 0.0123% probability that no claims will be filed in the next week.
There is a 5.73% probability that less than four claims will be filed in the next week.
In this scenario, the insurance company has determined that the average number of claims filed in their Atlanta branch each week is nine. To calculate the probability of specific outcomes for the next week, we can use the Poisson distribution formula, which is commonly used to model the probability of rare events occurring over time.
The formula is:
P(x) = \((e^-\lambda \times \lambda ^x)\) / x!
Where:
P(x) = the probability of x events occurring
e = the mathematical constant approximately equal to 2.71828
λ = the average number of events that occur in a given time period (in this case, nine claims per week)
x = the number of events we are interested in
Using this formula, we can calculate the probability of the following outcomes for the next week:
Exactly seven claims will be filed:
P(7) = \((e^{-9} \times 9^7)\) / 7! = 0.0916 or approximately 9.16%
No claims will be filed:
P(0) = \((e^{-9} \times 9^0)\) / 0! = 0.000123 or approximately 0.0123%
Less than four claims will be filed:
P(0) + P(1) + P(2) + P(3) = \((e^{-9} \times 9^0) / 0! + (e^{-9} \times 9^1) / 1! + (e^{-9} \times 9^2) / 2! + (e^{-9} \times 9^3) / 3!\) = 0.0573 or approximately 5.73%
To know more about probability here
https://brainly.com/question/11234923
#SPJ4
It is known that the length of a certain product X is normally distributed with μ = 18 inches. How is the probability P(X > 18) related to P(X < 18)?
Group of answer choices P(X > 18) is smaller than P(X < 18).
P(X > 18) is the same as P(X < 18).
P(X > 18) is greater than P(X < 18).
No comparison can be made because the standard deviation is not given.
The correct answer is, P(X > 18) is the same as P(X < 18). Option b is correct. The probability P(X > 18) is related to P(X < 18) in such a way that: P(X > 18) is the same as 1 − P(X < 18).
Explanation:
The mean length of a certain product X is μ = 18 inches.
As we know that the length of a certain product X is normally distributed.
So, we can conclude that: Z = (X - μ) / σ, where Z is the standard normal random variable.
Let's find the probability of X > 18 using the standard normal distribution table:
P(X > 18) = P(Z > (18 - μ) / σ)P(Z > (18 - 18) / σ) = P(Z > 0) = 0.5
Therefore, P(X > 18) = 0.5
Using the complement rule, the probability of X < 18 can be obtained:
P(X < 18) = 1 - P(X > 18)P(X < 18) = 1 - 0.5P(X < 18) = 0.5
Therefore, the probability P(X > 18) is the same as P(X < 18).
Hence, the correct answer is, P(X > 18) is the same as P(X < 18). Option b is correct.
Visit here to learn more about probability brainly.com/question/32117953
#SPJ11
How do you find the answer for surface area?
Answer:
720 m²
Step-by-step explanation:
The surface area of the prism is the sum of the areas of its 5 surfaces.
Area of triangle= ½ ×base ×height
Area of front face
= ½(6)(8)
= 24 m²
Area of back face= 24 m²
Area of rectangle= length ×breadth
Area of base
= 8(28)
= 224 m²
Area of right surface
= 10(28)
= 280 m²
Area of left surface
= 6(28)
= 168 m²
Total surface area
= 24 +24 +224 +280 +168
= 720 m²
Two exponential functions, f(x) and g(x), are graphed on the same coordinate plane. Graph of f of x equals 2 to the x power going through points 0 comma 1 and 1 comma 2 and graph of g of x equals 2 to the x power plus 4 going through points 0 comma 5 and 1 comma 6. What effect does adding 4 to the parent function have on the transformed function? a Adding 4 to the parent function shifts the function down four units. b Adding 4 to the parent function shifts the function up four units. c Adding 4 to the parent function shifts the function right four units. d Adding 4 to the parent function shifts the function left four units.
Answer:
b Adding 4 to the parent function shifts the function up four units.
Step-by-step explanation:
The original function is y(x) = 2^x
Adding four is y(x) = 2^x + 4
We've simply told y to take whatever value is generated for x and add four to it.
So the new value for the same x would have 4 added to y: (x,y+4),
Point (1,2) would shift to point (1,6).
Adding four to the parent function will shift the entire graph up by 4. See ate attached graph.
how do you solve solving system by substitution can someone give me the steps plz
Answer:
Isolate one variable in one of the equations and substituting it into the other equation. *note* in example the first substitution is given to you
Step-by-step explanation:
For example:
-3x-4y=-2
y=2x-5
Substitute -4y with second equation
-3x-4(2x-5)=-2
PEMDAS
-3x-8x+20=-2
-11x+20=-2
Subtract 20 on both sides of the = sign
-11x=-22
Divide both sides
x=2
Plug that into the second equation
y=2(2)-5
y=4-5
y=-1
Jenna used 3¼ cups of butter for her secret sugar cookie recipe. Her recipe bakes 18 cookies. If she needs to bake 45 cookies for her school’s bake sale, how many cups of butter should she use?
Answer:
well, 45/18 = 2.5
So she will need 2.5 as much of everything in her recipe
what is 2.5*(3 1/4) ?
do it as 2.5*3.25 or (5/2)(13/4)
Step-by-step explanation:
Does anyone know the answer for 7 and 8?
Answer:
7) A 8) C
Step-by-step explanation:
number 7 tells us that y=x+1
so we just basically plug it in
2x+3(x+1)=4 Answer: A
to eliminate x's in number 8, we have to multiply one of the equations by -1
let's multiply the second one
4x+3y=6
4x ·-1-y·1=2·-1
4x+3y=6
-4x+y=-2
x's eliminate
4y=4, meaning that the answer is C
Where could you put parentheses in 8x-9-12x + 5 to make a new
expression that is still equivalent to the original expression? How do you know
that your new expression is equivalent?
Answer:
132
Step-by-step explanation:
es ciento treinta y dos
Answer:
you can put them anywhere pretty much as long as you don't make it multiply
Step-by-step explanation:
you can do :
(8x-9) -12x+5
you cant do:
8x(-9)-12x+5
If you prove that △ABD is congruent to △CDB, which general statement best describes what you have proved?
Given: Opposite Sides Of Quadrilateral ABCD Are Parallel
A: Opposite sides of a parallelogram are congruent
B: The diagonal of a parallelogram connects two non-consecutive vertices
C: Diagonals of a parallelogram are congruent
D: Diagonals of a parallelogram bisect each other
Answer:
A: Opposite sides of a parallelogram are congruent
Step-by-step explanation:
The only diagonal involved is BD, so none of the statements regrading diagonals has been proven. The only thing proven is ...
AB ≅ CD . . . . opposite sides are congruent
AD ≅ CB . . . . opposite sides are congruent
a type of medicine is given in a 100 miligram dosage. the medicine comes in a 12 gram bottle. how many 100 milligram doses are in a bottle?
The medicine bottle has 120 doses of 100 miligram each.
As per the known fact, 1000 miligram is 1 gram. So, the amount of medicine in the bottle in milligrams = 12×1000
Performing multiplication on Right Hand Side of the equation
Amount of medicine in bottle = 12000 milligrams.
Now, number of dose of 100 miligram medicine = 1
Amount of dose of 12000 miligram medicine = (1/100)×12000
Performing division and multiplication on Right Hand Side of the equation
Amount of doses in 12000 miligram medicine = 120
Thus, there are 120 doses in a medicine.
Learn more about dosage calculations -
https://brainly.com/question/24793154
#SPJ4
The real statue of liberty is 152 feet tall. If you wanted to build a toy model of the statue to sell to tourists that is 2:101 Scale factor, how tall should your model be?
Answer:
Height of toy model liberty statue = 3 feet (Approx.)
Step-by-step explanation:
Given:
Height of real liberty statue = 152 feet
Scale factor = 2:101
Find:
Height of toy model liberty statue
Computation:
Scale factor = 2:101
1 feet toy model = 101 / 2 = 50.5 feet
Height of toy model liberty statue = Height of real liberty statue / Scale factor
Height of toy model liberty statue = 152 / 50.5
Height of toy model liberty statue = 3 feet (Approx.)
To find the uncertainty in slope of a linear trend line, your group-mates decide to use uncertainties they listed in each measurement. But they forget how to use it. How should they use the listed uncertainties
To find the uncertainty in the slope of a linear trend line, your group-mates can use the uncertainties listed in each measurement by following these steps:
1. Plot the data points on a graph, including the uncertainties as error bars for each point. The error bars represent the range of possible values for each measurement due to uncertainty.
2. Fit a linear trend line to the data points, either by using a statistical software or by drawing a best-fit line manually.
3. For each data point, calculate the vertical deviation from the fitted trend line. This is the difference between the observed value (including the uncertainty) and the value predicted by the trend line.
4. Square each deviation and sum them to get the total sum of squares.
5. Calculate the uncertainty in the slope by dividing the total sum of squares by the number of data points minus two. This is known as the "degrees of freedom" (n-2).
6. Take the square root of the result to get the standard deviation of the slope, which represents the uncertainty in the slope.
By following these steps, your group-mates can accurately determine the uncertainty in the slope of a linear trend line using the uncertainties listed in each measurement.
Learn more about uncertainty in the slope here: brainly.com/question/14889571
#SPJ11
what is that name of this figure
Answer:
bru.hh
Step-by-step explanation:
a trapezoid
Answer
Trapezoid or a quadrilateral
Step-by-step explanation:
if a shape has four sides it is a quadrilateral in this case, it does and the name of that shape is a trapezoid.
Equations and Expressions 1
Calculate if the value given for the variable is the solution or not.
6x-13=5 x=3
⅓(x+4)=20 x=48
4x+5.25=13.25 x=2
Solve
x/7=11
x-5=4
4x=20
x+3=5
Draw a rectangular array on graph paper for 24 x 18. Solve the problem 24 x 18 using the partial-products algorithm. Use your array to explain why the partial-products algorithm calculates the correct answer to 24 x 18.
To draw a rectangular array for 24 x 18 on graph paper, we create a grid with 24 rows and 18 columns.
The partial-products algorithm for multiplying 24 and 18 involves breaking down the multiplication into smaller, manageable steps. The array helps visualize these steps and demonstrates why the algorithm yields the correct answer. Using the array, we start by dividing the 24 x 18 rectangle into smaller squares that represent individual partial products. Each row in the array corresponds to a digit in the multiplier (24), and each column corresponds to a digit in the multiplicand (18). We fill in the array by multiplying the corresponding digits in the multiplier and multiplicand.
For example, the first partial product is obtained by multiplying the rightmost digit of the multiplier (4) by each digit in the multiplicand (8, 1). We place the result, 32, in the corresponding square in the array. Similarly, we calculate the other partial products and place them in the corresponding squares. To find the final product, we sum up all the partial products in the array. In this case, we add up the values in all the squares to get 432, which is the correct answer to 24 x 18.
The array demonstrates why the partial-products algorithm works. By breaking down the multiplication into smaller steps and organizing them in the array, we ensure that each digit in the multiplier is multiplied by each digit in the multiplicand. The array visually represents the distributive property of multiplication, where each digit in one number is multiplied by each digit in the other number. Adding up the partial products gives the total product, ensuring the correct result. The array provides a visual proof of why the partial-products algorithm yields the correct answer to the multiplication problem.
To learn more about rectangular array click here:
brainly.com/question/29199707
#SPJ11
What is the exact value of sin(x/2), cos(x/2) and tan(x/2) if cos(x/6)=3/5
+explaination
Step-by-step explanation:
x/2 = 3×x/6
sin(x/2) = sin(3x/6)
cos(x/2) = cos(3x/6)
tan(x/2) = tan(3x/6) = sin(3x/6)/cos(3x/6)
looking up triple angle identities for trigonometric functions we find :
cos(3x) = 4cos³(x) - 3cos(x)
so,
cos(x/2) =
cos(3x/6) = 4cos³(x/6) - 3cos(x/6) = 4(3/5)³ - 3×3/5 =
= 4×27/125 - 9/5 = 108/125 - 9×25/125 =
= 108/125 - 225/125 = -117/125 =
= -0.936
sin(3x) = 3×sin(x) - 4×sin³(x)
so,
sin(x/2) =
sin(3×x/6) = 3×sin(x/6) - 4×sin³(x/6)
also remember,
sin²(x) + cos²(x) = 1
therefore,
sin²(x/6) + cos²(x/6) = 1
sin(x/6) = sqrt(1 - cos²(x/6)) = sqrt(1 - (3/5)²) =
= sqrt(1 - 9/25) = sqrt(25/25 - 9/25) =
= sqrt(16/25) = 4/5 = 0.8
so, again
sin(x/2) =
sin(3×x/6) = 3×sin(x/6) - 4×sin³(x/6) =
= 3×4/5 - 4×(4/5)³ =
= 12/5 - 4×64/125 = 12×25/125 - 256/125 =
= 300/125 - 256/125 = 44/125 =
= 3×0.8 - 4×0.8³ = 0.352
tan(x/2) = sin(x/2)/cos(x/2) =
= 44/125 / -117/125 = -44/117 =
= 0.352 / -0.936 =
= -0.376068376...
given the function h(x)=3x+1 and g(x)= x/3 find
a) h^-1 (x)
b)gh^-1 (7)
Answer:
h‐¹(x)= (x-1)/3
To do this switch the x and y variables in this case it would be x=3y+1 and rearrange to get the y alone
gh‐¹(7)=(x-1)/9=(7-1)/9=2/3
For this section substitutethe x in the g(x) equation with h-¹(x) and then simplify to get your final expression then substitute 7 in place of x to get your integer answer
Hope it's clear, cheers!