Since the triangles fullfil:
\(\frac{10}{5}=\frac{8}{4}\)which means that the sides are proportional between each other, and the angle between those sides are equal (the right angle) we conclude that the triangles are similar by the SAS theorem.
-2n divided by 3 + (4n - n), when n = 6
Step-by-step explanation:
Divisor = -2n = -2 * 6 = - 12
Dividend = 3 + ( 4 * 6 - 6) = 3 + 18 = 21
Now
21 / -12
dividing numerator and denominator by 3
= - 7 / 4
Step-by-step explanation:
= -2n
= -2×6
= -12
again,
=3+(4n-n)
= 3+4×6-6
=3+24-6
=21
now,
= -12
21
hope it helps.
Plzzz hurry I’ll give you brainiest
Given the line and a point on the line, what is the equation of the line in point-slope form?
A) y +60 = 2(x + 40)
B) y + 60 = 2(x - 40)
Oy - 60 = 2(x + 40)
D) y - 60 = 2(x – 40)
Which statement is correct?
A.
All terminating decimals are rational.
B.
All numbers are natural numbers.
C.
All square roots are irrational.
D.
All integers are negative numbers.
If 1=3
2=3
3=5
4=4
5=4, then 6=?
Answer:
six equal to eight?????
The area of a kite is 51.68 square inches. One diagonal measures 15.2 inches. What is the measure of the other diagonal?
3.4 inches
6.8 inches
13.6 inches
15.2 inches
Answer:
6.8
letters till 20 characters
Step-by-step explanation:
we know that The area of a Kite is equal to where D1 and D2 are the diagonals of the kite In this problem we have Substitute in the formula and solve for D2 therefore the answer is the option B
The measure of the other diagonal is 6.8 inches. The correct option is the second option 6.8 inches
Areas of plane shapesFrom the question, we are to determine the measure of the other diagonal
If a kite has diagonals p and q, then the area of the kite is given as
\(A =\frac{pq}{2}\)
Where A is the area of the kite
From the given information,
One of diagonal measures 15.2 inches
Let p = 15.2 inches
and
A = 51.68 square inches
Putting the parameters into the formula, we get
\(51.68 = \frac{15.2 \times q}{2}\)
Then,
15.2 ×q = 51.68 × 2
15.2q = 103.36
q = 103.36 ÷ 15.2
q = 6.8 inches
Hence, the measure of the other diagonal is 6.8 inches. The correct option is the second option 6.8 inches
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Find the slope of the line passing through the points (9, - 4) an
(5,6)
Answer:
-5/2
Step-by-step explanation:
(9,-4) and (5,6)
Slope = y2-y1/x2-x1
(6-(-4)/5-9
10/-4
-5/2
Hope this helps!
Write 15/2 as a mixed number.
Give your answer in its simplest form.
Answer:
\(7 \frac{1}{2}\)
hope this helps :))
A furnace is designed to heat a 10,000 cubic feet of space. Will this furnace be adequate for a 1,400 square foot house with a 9foot ceiling.
To determine whether the furnace will be adequate for a 1,400 square foot house with a 9-foot ceiling, we need to calculate the volume of the house and compare it to the volume the furnace is designed to heat.
The volume of the house can be found by multiplying the square footage by the ceiling height:
1,400 sq ft x 9 ft = 12,600 cubic feet
Since the furnace is designed to heat 10,000 cubic feet, and the house has a volume of 12,600 cubic feet, the furnace may not be adequate for heating the house. The furnace is not capable to heat the entire house.
Identify whether each function is linear or exponential.
Function A:
Function C
Function D:
You have $200 in
a savings
account that
earns 1% annual
interest
b. Which function has the greatest growth factor? Justify your response.
Answer:
A)
Function A: Exponential
Function B: Linear
Function C: Exponential
Function D: Exponential
B) Function A
Step-by-step explanation:
Function A: This is exponential because- (1, 3)(2,9)(3,27)
It is not going up by the same number each time. However, it is multiplying by 3 each time which means it is exponential.
Function B: This is linear because- (1, 64)(1, 80)(1, 96)
It is going up by 16 each time, (a constant number) which means it is linear.
Function C: This is exponential because- there is a curve, linear is always a straight line. But, this has a curve which means it is exponential.
Function D: This is exponential because- It is increasing by a percentage and not a constant number. It is increasing by 1% which means it is exponential.
The function that has the greatest growth factor is Function A because, Function A multiplies by 3 each time. Function B is linear, exponential functions always pass linear functions despite how "steep" they are. Eventually, the exponential function will surpass it. Function C is also exponential but is not as "steep" as Function A. Function A multiplies by 3 each time but Function C increases less. Function D is also exponential, and for the same reasons as Function C, Function A has the greatest growth factor.
need help with this one please
helo please show work
Answer:
Step-by-step explanation:
Solution:
We can simplify the ratio 305 : 60 by dividing both terms by the greatest common factor (GCF).
The GCF of 305 and 60 is 5.
Divide both terms by 5.
305 ÷ 5 = 61
60 ÷ 5 = 12
Therefore:
305 : 60 = 61 : 12
In the kite below, mAngle B is-congruent-to mAngle D. The measure of Angle D = 87 degrees, and the Angle C = 74 degrees.
What is the measure of Angle A?
90°
112°
122°
199°
Answer:
112°
Step-by-step explanation:
Answer:
112
Step-by-step explanation:
(sinx) / (1-cosx) =cscx+cotx
Prove the identity.
Note that each Statement must be based on a Rule chosen from the Rule menu. To see a detailed description of a Rule, select the More Information Button to the right of the Rule.
\(~~\text{L.H.S}\\\\=\dfrac{\sin x}{1-\cos x}\\\\\\=\dfrac{\sin x(1+ \cos x)}{(1 -\cos x)(1+ \cos x)}\\\\\\=\dfrac{\sin x + \sin x \cos x}{1- \cos^2 x}\\\\\\=\dfrac{\sin x+ \sin x \cos x}{\sin^2 x}\\\\\\=\dfrac{\sin x}{ \sin^2 x}+ \dfrac{\sin x \cos x}{ \sin^2 x}\\\\\\=\dfrac{1}{ \sin x} + \dfrac{\cos x}{ \sin x}\\\\\\=\csc x + \cot x\\\\\\=\text{R.H.S}\\\\\text{Proved.}\)
PLEASE HELP ITS DUE TODAY!!
Please look at photo. Thank you!
Polynomial and rational functions:
A) Find all x and y intercepts. Check all that apply:
X intercepts: 4, 0, 1, and/or none.
Y intercepts: 1, 4, 0 and/or none.
B) write the equations for all vertical and horizontal asymptotes. Enter the equations by writing “and” or “none” when necessary.
C) find the domain and range of f. Write each answer as an interval or union of intervals.
A) All x- and y-intercepts include the following:
x-intercepts: none.
y-intercept: 1.
B) The equation for vertical asymptote is x = 4 and the equation for horizontal asymptote is y = 0.
C) The domain and range of f are:
Domain = [-∞, 4) U [4, ∞]
Range = [0, ∞]
What is the x-intercept?In Mathematics, the x-intercept is the point at which the graph of a function crosses or touches the x-coordinate and the y-value or value of "y" is equal to zero (0).
Part A.
Based on the graph of this rational function, the x-intercept and y-intercept include the following:
x-intercept: none.
y-intercept: 1.
Part B.
An equation that represents the vertical asymptote is x = 4 while the equation represents the horizontal asymptote is y = 0 because the line does not cross those points.
Part C.
By critically observing the graph of this rational function, we can logically deduce the following domain and range:
Domain = [-∞, 4) U [4, ∞] or {x|x ≠ 4}.
Range = [0, ∞] or {y|y ≥ 0}.
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hay 1230 personas, entre hombres y mujeres. Si se sabe que el número de mujeres, supera en 150 al número de hombres. ¿Cuántos hombres están habitando la mini ciudad?
There are 540 men living in the mini city.
x + (x + 150) = 1230
Simplifying this equation, we get:
2x + 150 = 1230
Subtracting 150 from both sides, we get:
2x = 1080
Dividing both sides by 2, we get:
x = 540
Therefore, there are 540 men living in the mini city.
To check our answer, we can substitute x = 540 into our original equation:
540 + (540 + 150) = 1230
690 = 1230
This is false, so there must be an error in our calculation. We can double-check our work by trying a different approach.
We know that the number of women exceeds the number of men by 150, so we can represent the number of women as (x + 150). We also know that the total number of people is 1230, so we can set up an equation:
x + (x + 150) = 1230
Simplifying this equation, we get:
2x + 150 = 1230
Subtracting 150 from both sides, we get:
2x = 1080
Dividing both sides by 2, we get:
x = 540
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if cp=rs 400, loss=10% find sp
Answer:
cp = rs 400
loss = 10%
Then SP = 400 - 10% of 400
= 400 - 40
= 360
Therefore SP = Rs. 360
Please help anything is appreciated
Answer:
q = -2
Step-by-step explanation:
Constant = whole number
If the two lines are parallel the slopes would be equal.
So if the first line is y = -2x + 5/3
The the second line would become y = -2x + 6.
If q becomes -2, it will be a constant and the two lines will also be parallel
Coach trainer timed his athletes running 40 yard dash. The fastest time was 4.58 and the difference between the slowest and fastest time was 1.17 seconds. Find the slowest time.
The slowest time of the 40 yard dash is given by the equation A = 3.41 sec
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the slowest time be represented as A
Now , the equation will be
Let the total length of the yard = 40 yard dash
Let the fastest time be represented as F
The value of F = 4.58 seconds
The difference between the fastest and the slowest time = 1.17 seconds
Substituting the values in the equation , we get
Fastest time - slowest time = 1.17 seconds
So ,
4.58 - A = 1.17
On simplifying the equation , we get
Adding A on both sides of the equation , we get
A + 1.17 = 4.58
Subtracting 1.17 on both sides of the equation , we get
A = 4.58 - 1.17
A = 3.41 seconds
Therefore , the value of A is 3.41 seconds
Hence , the equation is A = 3.41 seconds
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Find the distance between 23 and - 16.
Hey there!
Basically the word “distance” means subtract, so that either means you’re taking away or going downward (like to the (LEFT side of your number line since you’re counting DOWN)
So, question reads….
Find the DISTANCE BETWEEN 23 & -16
That means your equation should look like:
23 - (-16)
Simplify it:
23 - (-16)
= 23 - -16
= 23 + 16
= 39
Therefore, your answer should be:
39
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Find the center of the ellipse defined by the equation shown below. If necessary, round to the nearest tenth. 100pts
the center of the given ellipse is (-1, 1).Hence, the required answer is (-1, 1).
The given equation of the ellipse is
100pts9x²+4y²+18x - 8y-23=0.
To find the center of the ellipse, Rearrange the given equation of the ellipse to standard form by completing the square. To complete the square for x terms, we need to add
(18/2)²=9²=81
to both sides of the equation. To complete the square for y terms, we need to add
(-8/2)²=4²=16
to both sides of the equation.
100pts9x²+18x+4y²-8y=23+81+16-100pts100pts(9x²+18x+81) + 100pts(4y²-8y+16) = 120100pts(3x+3)² + 100pts(2y-2)² = 120 + 100pts100pts3(x+1)² + 100pts2(y-1)² = 180
The standard form of the given equation of the ellipse is:
100pts(3(x+1)²)/180 + (2(y-1)²)/180 = 1
Divide throughout by
180:100pts(3(x+1)²)/180 + (2(y-1)²)/180 = 1 Simplify:100pts(3(x+1)²)/36 + (2(y-1)²)/90 = 1
The center of the ellipse is (-1, 1) (h, k), where h is the x-coordinate of the center and k is the y-coordinate of the center.
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Answer:
Center = (-1, 1)
Step-by-step explanation:
To find the center of the ellipse, we first need to write the equation in its standard form by completing the square.
Given equation:
\(9x^2+4y^2+18x-8y-23=0\)
Arrange the equation so that all the terms with variables are on the left side and the constant is on the right side.
\(9x^2+18x+4y^2-8y=23\)
Factor out the coefficient of the x² term and the coefficient of the y² term:
\(9(x^2+2x)+4(y^2-2y)=23\)
Add the square of half the coefficient of x and y inside the parentheses of the left side, and add the distributed values to the right side:
\(9(x^2+2x+1)+4(y^2-2y+1)=23+9(1)+4(1)\)
Factor the two perfect trinomials on the left side and simplify the right side:
\(9(x+1)^2+4(y-1)^2=36\)
Divide both sides by 36 so the right side equals 1:
\(\dfrac{9(x+1)^2}{36}+\dfrac{4(y-1)^2}{36}=\dfrac{36}{36}\)
\(\dfrac{(x+1)^2}{4}+\dfrac{(y-1)^2}{9}=1\)
The standard form of the equation of an ellipse with center (h, k) is:
\(\boxed{\dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1}\)
Comparing the rewritten equation with the standard equation, we can determine that h = -1 and k = 1.
Therefore, the center (h, k) of the ellipse is (-1, 1).
Sophia tested two versions of a program on her website, one with badges for user accomplishments and one without. The sample of users exposed to the version with badges spent an average of 12 minutes on the site during the testing month with a standard deviation of 26 minutes. The sample who didn't have badges spent an average of 8 minutes with a standard deviation of 22 minutes during the month. There were 30 users in each sample.
Assume that the conditions for inference have been met.
file is attached for further details
There are total 40 test in the examination.
What is average?In everyday terms, an average is one number chosen to represent a list of numbers; it is typically the sum of the numbers divided by the number of numbers in the list (the arithmetic mean). The average of the numbers 2, 3, 4, 7, and 9 is, for instance, 5. An average could be another statistic like the median or mode depending on the situation.
Because the mean would be higher if the personal incomes of a few billionaires were included, the median—the amount below which 50% of personal incomes fall and above which 50% of personal incomes rise—is frequently used to represent the average personal income. It is advised to avoid using the word "average" when discussing measures of central tendency because of this.
Given:
80% of the test = 32 questions
100% of the test = x questions
Cross multiply
80*x = 100 * 32 Combine the right
80x = 3200 Divide by 80
x = 3200/80
x = 40
Hence , there are 40 questions on the test.
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30 POINTS JUST TELL ME THE ASNWER DONT EXPLAIN IT IM ON A TIGHT SCHEDULE
Answer:
1/4
Step-by-step explanation:
8 pencils for$2.24 i need help with my math can some one help me with it
Answer:
8 x 2.24 = 17.92
Pls mark me brainliest
Are you trying to find the price of 1 pencils?
If Yes The Answer is below.
Answer:
0.28
Step-by-step explanation:
To find the price of 1 pencils.
Divide 2.24 by 8 which gives you 0.28
Therefore the price of 1 pencils is 0.28
D Answer each question.
1. What is the range of frequencies a human ear can hear?
2. What is the speed of sound?
3. Whích two animals locate things by echoes?
nitch of your voice?
Answer:
Step-by-step explanation:
1. Humans can detect sounds in a frequency range from about 20 Hz to 20 kHz.
2. speed of sound is 343 m/sec.
3. two animals are Bats and Whales.
4.The voiced speech of a typical adult male will have a fundamental frequency from 85 to 180 Hz, and that of a typical adult female from 165 to 255 Hz.
Please show your work and I will give you Brainest Solve using elimination (IXL Skill ZQV). Show all your work.
6x + 3y = 12
-2x - 5y = 20
Answer:
(5, - 6)Step-by-step explanation:
Given system:
6x + 3y = 12-2x - 5y = 20Triple the second equation and add up with the first one to eliminate the variable x:
6x + 3y - 6x - 15y = 12 + 60-12y = 72y = - 6Find x:
6x - 6*3 = 126x - 18 = 126x = 30x = 5A skyscraper casts a shadow 200 ft long. If the angle of elevation of the Sun is 38 degrees, then the height of the skyscraper is approximately _____.
A. 200 ft
B. 173.34 ft
D. 156.26 ft
The height of the skyscraper is D. 156.26 ft
How to determine the valueTo determine the height of the skyscraper, we need to consider the following trigonometric identities listed thus;
sinecosinetangentcotangentsecantcosecantFrom the information given, we have that;
Angle, θ = 38 degrees
The shadow casted is the adjacent side of the angle and is 200 ft
The height off the skyscraper is the opposite side
Now, using the tangent identity, we have that;
tan θ = opposite/adjacent
tan 38 = h/200
cross multiply the values, we get;
h = 200(0.7812)
Multiply the values
h = 156. 26 ft
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nearest thousandth for 53125
Answer:
53,000
Step-by-step explanation:
The one is rounded down to a zero making it stay at 53000
IS THIS RIGHT? (28 points easy!!)
Step-by-step explanation:
yes, the step is correct.
a² = cx | multiply by c
ca² = c²x
I am just not sure how that simplified the equation.
what do you want to achieve ? what's the goal here ?
to solve the equation for x it would be to divide both sides by c, which gives
a²/c = x
I need the coordinates like ASAP