Answer:
10
Step-by-step explanation:
The least common denominator is basically the least common multiple of the denominators (bottom numbers) of the fraction:
Let's start by listing the multiples of 5 and 10:
5: 5, 10
10: 10
They share a common multiple of 10, and it's the least common multiple therefore the least common denominator is 10
Expand and simplify (x+4) (x-3) (3x+2)
Three polygons are still use the drop-down menus to describe the polygons use a protractor click the protractor button below
Answer:
3 vertices
Acute
Step-by-step explanation:
Question
Three polygons are still use the drop-down menus to describe the polygons use a protractor click the protractor button below
answer: 3 vertices first drop down
acute second drop down
If the sin 90º = 1, then which statement is true? (6 points)
cos 0º = 1, because the cosine and sine are complements
O cos 90º = 1, because the cosine and sine are supplements
O cos 0º = 0, because the cosine and sine are complements
O cos 90º = 0, because the cosine and sine are supplements
Based on the complementary relationship between sine and cosine, if sin 90º = 1, then cos 0º = 1 is the true statement. The cosine of 0º is equal to 1 because 0º is the complement of 90º.
Given that sin 90º = 1, we can determine the corresponding value of the cosine for certain angles based on the complementary relationship between sine and cosine.
In trigonometry, the cosine and sine are complementary functions. This means that the sine of an angle is equal to the cosine of its complement, and vice versa. The complement of an angle is the difference between that angle and a right angle (90º).
In this case, sin 90º = 1 implies that the angle 90º has a sine value of 1. Since the sine and cosine are complements, we can conclude that the cosine of the complement of 90º, which is 0º, must also be 1. Therefore, cos 0º = 1.
To summarize, based on the complementary relationship between sine and cosine, if sin 90º = 1, then cos 0º = 1 is the true statement. The cosine of 0º is equal to 1 because 0º is the complement of 90º.
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When examining the geology of a region for potential useable aquifers, what characteristics or factors would you consider? Also, taking into account certain natural and human factors, which areas would you avoid?
200-300 word response
Factors considered for potential aquifers: permeability, porosity, recharge. Avoid areas near contamination or high population density.
What factors are considered when evaluating potential useable aquifers and which areas should be avoided?Examining the geology of a region for potential useable aquifers involves considering various characteristics and factors. Permeability, the ability of rocks or sediments to transmit water, is a key attribute. Highly permeable formations like sandstone or limestone facilitate water movement, making them favorable for aquifer development. Porosity, the amount of empty space within rocks or sediments, indicates the storage capacity of an aquifer. High porosity allows for greater water storage.
Recharge rates, the rate at which water replenishes the aquifer, are also important. Areas with consistent and sufficient rainfall or access to water sources like rivers and lakes tend to have higher recharge rates, making them suitable for aquifer utilization.
However, it is crucial to consider natural and human factors to determine areas to avoid. Proximity to contamination sources, such as industrial activities or landfills, can pose a risk to the water quality of an aquifer. Additionally, regions with high population density often face increased demands for water, which may lead to excessive groundwater extraction, causing depletion and long-term sustainability concerns.
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If there are 3 apples for every 4 oranges, how many apples would you have if you had 20 oranges?
Answer:
6 Apples
Step-by-step explanation:
There would be six apples and 2 oranges left over.
Hope this Helps!
:D
Answer:
I was kind of confused on this one but is it 15 apples?
Step-by-step explanation:
3, 6, 9, 12, 15
4, 8, 12, 16, 20
I think the answer is 15 apples.
HELP ASAP PLSSSS
Square ABCD has vertices at A(−2, 5) and B(4, 3).
The slopes of the sides of ABCD given in simplified form are −1/3 and ?
Answer:
The slopes of the sides of the square ABCD are -1/3 and 3
Step-by-step explanation:
The coordinates of the vertices are;
A(-2, 5) and B(4, 3), therefore, we have;
The slope of segment AB, m, is given as follows;
\(Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\)
Where, (x₁, y₁) = (-2, 5) and (x₂, y₂) = (4, 3), we have;
\(Slope, m \ of \ line \ AB, \ m_{AB}=\dfrac{3-5}{4-(-2)} = \dfrac{-2}{6} = -\dfrac{1}{3}\)
Therefore, given that the adjacent sides of a square are perpendicular, we have;
The slope of a line perpendicular to another line with slope, m is equal to the negative inverse of the slope of the line
Therefore, the given that the slope of a line = m, the slope of the perpendicular = -1/m
Therefore;
\(The \ slope \ of \ the \ perpendicular \ to \ the \ line \ AB = -\dfrac{1}{The \ slope \ of \ the \ line \ AB }\)
\(The \ slope \ of \ the \ perpendicular \ to \ the \ line \ AB = -\dfrac{1}{-\dfrac{1}{3} } = 3\)
Given that the one other side is parallel to the line AB, whereby the slope of parallel lines are equal, and that two sides are perpendicular to the line AB, we have, the slopes of the sides of the square ABCD are;
-1/3 and 3.
given: f(x) = 1/x (<- that’s division sign btw)
g(x) = x-4
can you evaluate (g°f)(0) ?Explain why or why not.
To evaluate \((g \circ f)(0)\), you'd start by rewriting this as \((g \circ f)(0) = g\big(f(0)\big)\) and your first step of evaluation is to evaluate \(f(0)\).
When you evaluate \(f(0)\), you have the following:
\(f(0) = \dfrac{1}{0}\)
and this is undefined. Since you cannot perform the first step of the evaluation, you cannot evaluate \((g\circ f)(0)\).
Find the slope of the line on the graph
Answer:
m = 1/2
Step-by-step explanation:
Use two points on the line given.
(0 , 2) & (-4 , 0)
You are solving for the slope. The slope formula:
m (slope) = (y₂ - y₁)/(x₂ - x₁)
Let:
(x₁ , y₁) = (-4 , 0)
(x₂ , y₂) = (0 , 2)
Plug in the corresponding numbers to the corresponding variables:
m = (2 - 0)/(0 - (-4))
Simplify:
m = (2)/( 0 - (-4))
m = (2)/(0 + 4)
m = 2/4
Simplify the slope. Divide the common factor 2 from both the numerator and denominator:
m = (2/4)/(2/2) = 1/2
1/2 is your slope.
~
Answer:
0.5
Step-by-step explanation:
the rise is 4 and the run is 8 so it would be 4/8 or 1/2 which would equal 0.5
Gavin had 24 pieces of candy and was on his way to meet his friends but tripped and lost 3 pieces he divided the candy he had left amongst himself and his 6 other friends how many pieces did each friend get (put the expression and answer)
Answer: (24-3)/7=3 Each friend gets 3 pieces of candy.
Step-by-step explanation: Gavin lost three candies which brought his total down to 21. He then divides the candy between 6 friends and himself so you divide the total candy (21) by 7 which leaves 3 pieces of candy per friend.
Need help fast
(X-5)^2+11=20
Answer:
X= 8, 2
Step-by-step explanation:
So, to solve answers like these you have to have to take the root of both sides and then solve. Please let me know if you have any questions or if I did not answer it correctly or misunderstood the question so that I can help correct my mistakes. Hope this helps!!
Answer:
Answer: (x-2) • (x-8)
(X-5)^2+11=20
Step by Step explanation:
1. 1 • 16 = 16
2. Find two factors of 16 which will be -10
-16 + -1 = -17
-8 + -2 = -10
3. x2 - 8x - 2x - 16
4. x • (x-8)
2 • (x-8)
5. (x-2) • (x-8)
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En el autoservicio del barrio reciben al proveedor de gaseosas cada 8 dias,al de lacteos cada 3 dias y al de galletitas cada 12 dias . El 5 de abril fueron los 3. A¿Cuantos dias pasaran para qie se encuentren nuevamente?
Respuesta:
24 días
Explicación paso a paso:
Para calcular el día en que se volverán a reunir después del 5 de abril; tomamos el mínimo común múltiplo de la cantidad de días de cada visita:
Por lo tanto, tomamos el mínimo común múltiplo de 8, 3 y 12.
Múltiple de:
8: 8, 16, 24, 32, 40, 48
3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30
12:12, 24, 36, 48, 60
El mínimo común múltiplo es 24;
Todos se volverán a encontrar después de 24 días.
5 de abril + 24 días = 29 de abril
What does x equal? 8x=72
Answer:
x=9
Step-by-step explanation:
PLEASE HELP I'LL GIVE A BRAINLIEST PLEASE 30 POINTS!!! PLEASE I NEED A STEP BY STEP EXPLANATION PLEASE.
Answer:
(a) \(x=\frac{19}{4}=4.75\)
(b) \(x=-\frac{1+\sqrt{193}}{6}\approx-2.4821, x=-\frac{1-\sqrt{193}}{6}\approx2.1487\)
Step-by-step explanation:
The detailed explanation is shown in the attached documents below.
Juli walks a path that is 1.6 miles long.
When he reaches the end of the trail, he turns around and goes back the same way. He stops to rest every 0.5 miles.
Which option explains how he can find how many times he stops to rest in total?
A.You have to divide 0.5 by 1.6.
B.She has to divide 1.6 by 0.5.
C.You have to multiply 1.6 by 2 and then divide the product by 0.5.
D.You have to multiply 1.6 by 2 and then multiply the product by 0.5.
(help)
Answer:
C
Step-by-step explanation:
Multiplying 1.6 gets you how far he walks, and then dividing the answer gives you how many times he would be stops, roughly 6.4 times
What’s the answer for this question?
Answer:
The value of x° = 23°
Step-by-step explanation:
Given the angles of the right-angled triangle
90°67°x°We know that the sum of angles of a triangle is 360°.
so,
90° + 67° + x° = 180°
157° + x° = 180°
Subtracting 157° in both sides
157° + x° - 157° = 180° - 157°
x° = 23°
Therefore, the value of x° = 23°
question in photo. i'll give brainliest to whoever gets it right/done quickest. thank you!
find an equation of the tangent line to the curve at the given point. y = 2ex cos(x), (0, 2)
The equation of the tangent line to the curve `y = 2ex cos(x)` at the point (0,2) is given by `y = 2ex + 2`.
To find an equation of the tangent line to the curve at the given point (0,2) whose equation is given by `y = 2ex cos(x)`, we need to determine the derivative `y'` of `y = 2ex cos(x)` first. Using the product rule, we have;
`y = 2ex cos(x)`...let `u = 2ex` and `v = cos(x)`, then `u' = 2ex` and `v' = -sin(x)`.`y' = u'v + uv'` `= 2ex cos(x) - 2ex sin(x)` `= 2ex(cos(x) - sin(x))`
Therefore, the derivative of `y = 2ex cos(x)` is `y' = 2ex(cos(x) - sin(x))`.
The equation of the tangent line to the curve at the point (0,2) is obtained by using the point-slope formula, which is given by: `y - y1 = m(x - x1)`where `(x1,y1)` is the point of tangency, `m` is the slope of the tangent line.
Substituting the values of `m`, `x1` and `y1`, we obtain: `m = y' |(0,2)` `= 2e(1 - 0)` `= 2e`Using the point-slope formula with `(x1,y1) = (0,2)` and `m = 2e`, we have: `y - 2 = 2e(x - 0)` `y - 2 = 2ex` `y = 2ex + 2`
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Parallel lines and transversals
The circumference of a wheel is 320.28 centimeters.
a) Determine the radius of the wheel.
b) Determine the area of the wheel.
Answer:
radius is 50.95
area is 8158.55
Step-by-step explanation:
cirumference = 2pi×r
or,320.28=2×(22/7)×r
or, r=320.28/(2×(22/7))
r=50.95 cm
area=(22/7)r^2
=8158.55
the scale of a map is 1:10000000. what is the real distance between two cities if the distance between them is 1.7dm
Answer:
See below:
Explanation:
1.7 dm = .17 m assuming dm is decimeter
.17m * 10^7 scale = 1.7 x 10^6 m = 1.7 x 10^3 km = 1700 km
An airplane is flying at 4000 feet above the ground. If the angle of depression from the airplane to the beginning of the runway is 5.4°, what is the horizontal distance to the nearest tenth of a mile of the airplane to the beginning of the runway?
Answer:
42315.6
Step-by-step explanation:
Let the horizontal distance be x.
\(\tan 5.4^{\circ}=\frac{4000}{x} \\ \\ x=\frac{4000}{\tan 5.4^{\circ}} \\ \\ x \approx 42315.6\)
HELP ASAP ASAP ASAP ASAP PLS HELP HELP
Answer:
i hope my answer help you
Step-by-step explanation:
1st=8+4=12
2nd the answer is to the nearest 7.06
3rd =2+2³.7=2+13=15
4th=(36÷(4+5))+25=36÷9+25=4+25=29
5th=16÷16+8-3=1+8-3=9-3=6
6th=8-2.4=5.6
Jennifer installs solar panels. Today it takes her 8
hours to install 2 solar panels. She plans to install
solar panels for 40 hours next week.
10 solar panels according to me is the answer
Answer: 10
Step-by-step explanation:
40 hours/8 hours = 5 hours
5 hours *2 solar panels = 10 solar panels
Since it takes her 8 hours to install 2 solar panels, we need to multiply 5 with 2.
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what is the tangent of an angle equal to
Answer:
Tangent= "Toa" = opposite by adjacent
What is the correct answer?
\( \huge\fbox\orange{ANSWER} \)
\( \mathsf \purple{v = l \times w \times h}\)
\( \mathsf \pink{v = 4.4 \times 2.9 \times 1}\)
\( \mathsf \purple{v = 12.76 {yd}^{3} }\)
12.76 cubic yards
The moon forms a right triangle with the
Earth and the Sun during one of its phases,
as shown below:
Earth
y
C
Sun
Moon
A scientist measures the angle x and the
distance y between the Sun and the moon.
Using complete sentences, explain how the
scientist can use only these two
measurements to calculate the distance
between the Earth and the moon. (10
points)
The distance between the Earth and the Moon is equal to the distance between the Sun and the Moon multiplied by the sine of angle x.
Let,
EM = the distance between the Earth and the Moon.
y = the distance between the Sun and the Moon.
we know that,
In the right triangle of the figure
The sine of angle x is equal to divide the opposite side to angle x (distance between the Earth and the Moon.) by the hypotenuse (distance between the Sun and the Moon)
so, sin(x) = EM/y
Solve for EM
EM = (y)sin(x)
Therefore, the distance between the Earth and the Moon is equal to the distance between the Sun and the Moon multiplied by the sine of angle x.
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Solve for x !! Help !!
Answer:
9
Step-by-step explanation:
2x-9+x-2=16
3x-11=16
3x=27
x=9
Answer:
x = 9
Step-by-step explanation:
2x - 9 + x - 2 = 16
→ Simplify
3x - 11 = 16
→ Add 11 to both sides
3x = 27
→ Divide both sides by 3 to isolate x
x = 9
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Choose the similarity statement that best represents the triangles. Provide evidence.
A. Triangles are similar by AA similarity.
B. Triangle are similar by SAS similarity.
C. Triangles are similar by SSS similarity.
D. Triangles are not similar.
Answer: D, these Triangles are not similar.
Step-by-step explanation:
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