Answer:
1777
Step-by-step explanation:
A map with a scale of 1 : 50,000 shows the locations of four towns A, B, C, and D.
The distance between Town A and Town B is 6 centimeters, the distance between
Town B and Town C is 7 centimeters, and the distance between Town C and Town D
is 8 centimeters. Given that m2ABC = m_ADC = 90°, find the actual distance
between Town A and Town D.
Answer:
can you please put your question points higher? anyway the answer is C
Step-by-step explanation:
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA 40 POINTS* DONT SKIP :(( .!
Answer:
maybe the second?
Step-by-step explanation:
Anyone knows the answer???
Answer:
351.9 m²
Step-by-step explanation:
\(SA=2\pi r^2+2\pi rh\) where r is the radius of the base and h is the height of the cylinder
We're given the diameter of the base, which is 8 m. Therefore, the radius is 4 m (after dividing by 2).
Plug in 4 as r and 10 as h
\(SA=2\pi (4)^2+2\pi (4)(10)\\SA=2\pi (16)+2\pi (40)\\SA=32\pi +80\pi \\SA=112\pi\)
Therefore, the surface area of the cylinder is approximately 351.9 m² after rounding to the nearest tenth.
I hope this helps!
Solve for x. Round to the nearest tenth of a degree, if necessary.
In the diagram angle TRV = angle VRW
what is the measure of angle SRT ?
20
Step-by-step explanation:
26
Answer:I'm not exactly sure but maybe 26??
Step-by-step explanation:
Let B be a 2 ×2 matrix such that
7B^2 −5B + 3I = 0.
Is B invertible? It so, what are the eigenvalues of B−1? Justify your answer.
Yes, Matrix B is invertible.
And, The eigenvalues of B−1 are;
⇒ (5 ± 7.68) / 14 - 1
What is mean by Matrix invertibility?An Invertible Matrix is a square matrix defined as invertible if the product of the matrix and its inverse is the identity matrix.
Given that;
B be a 2 ×2 matrix such that;
⇒ 7B² −5B + 3I = 0
Now,
Since, B be a 2 ×2 matrix.
And, The expression is,
⇒ 7B² −5B + 3I = 0
⇒ B² −5/7B + 3I/7 = 0
Multiply by B⁻¹, we get;
⇒ B - 5/7 + 3B⁻¹ = 0
Solve for B⁻¹;
⇒ 3B⁻¹ = - B + 5/7
⇒ B⁻¹ = - B/3 + 5/21
Thus, The matrix B is invertible.
And, The eigen value of B are;
⇒ 7B² −5B + 3I = 0
⇒ 7B² −5B + 3I = 0
⇒ B = - (-5) ± √(-5)² - 4×7×3 / 2×7
⇒ B = 5 ± √25 - 84/14
⇒ B = 5 ± √- 59 / 14
⇒ B = 5 ± 7.68 i / 14
⇒ B - 1 = (5 ± 7.68) / 14 - 1
Thus, Matrix B is invertible.
The eigenvalues of B−1 are = (5 ± 7.68) / 14 - 1
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Evaluate: (11 × 12 )−(−6 × 70)
Answer:
552Step-by-step explanation:
(11 × 12 ) − (−6 × 70)= 132 - (420)= 132 + 420= 552\(\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}\)
For the equation f(x)=1.9(0.41)*, state the initial value C, the growth or decay factor a, and percent change R for each unit increase in x.
C=(Type an integer or a decimal.)
Initial value C is 1.9, Decay factor =0.41 and Growth factor = 0.59 when the function f(x)=1.9(0.41)ˣ.
Given that,
The equation f(x)=1.9(0.41)ˣ.
We have to state the initial value C, the growth or decay factor a, and percent change R for each unit increase in x.
We know that,
What is growth and decay?In order to translate their graphs over the 2D coordinate plane, I will offer the vertex form of an exponential equation for both the growth and decay functions.
In the case of growth, f(x) = a(1+r\()^{x-h}\)+k, where b = 1+r
Decay is defined as f(x)=a(1-r)(x-h\()^{x-h}\)+k, where b=1-r.
Consider the function f(x)=1.9(0.41)ˣ.
We write as
f(x)=1.9(1-0.59)ˣ
So, initial value C is 1.9
Decay factor =0.41
Growth factor = 0.59
Therefore, Initial value C is 1.9, Decay factor =0.41 and Growth factor = 0.59 when the function f(x)=1.9(0.41)ˣ.
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In American roulette, you may bet whether the number that comes up is odd (or even) on a ball landing on one of 38 sectors numbered 1 through 36 and including 0 and 00. (Remember that 0 and 00 do not count as either odd or even.) The wager pays even money; that is, if you win, you get whatever you bet, and if you lose, you lose that same amount. What is your expected value for this bet?
The expected value is ((18/37) x (2 x wager [we will receive the wager back and the winnings])) + ((19/37) x 0)
What is American roulette?
Guessing on which number on the wheel ball will come to rest is the objective of American Roulette. Every number contains the same chances as any other number of coming up on each spin (that is winning number on any spin has no effect on the outcome of next spin). The best chance of payout is provided by an outside bet. The possible outcomes of the game of roulette is covered by 'outside bets'. With the higher winning chances, the payout is not going to be incredibly generous(it's only 1:1 for bets like odd or even that covers almost like half the wheel).
Expected value is calculated by adding all the different possible outcomes multiplied by their probabilities.
So, in this case (0.5 x $2) + (0.5 x $1).
For specific example it would be determined by the number of options on a roulette wheel (generally 37).
So winning on this bet in 18 outcomes (the even numbers) and losing on 19 outcomes (the odd numbers + 0).
Putting it all together, the expected value is ((18/37) x (2 x wager [we will receive the wager back and the winnings])) + ((19/37) x 0).
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How many different possible outcomes are there if you spin 2 spinners labeled Red, Blue, Yellow, Green?
Answer:
4
Step-by-step explanation:
Answer:16
Step-by-step explanation:4^2
Please help‼️
Given O below, if XY and YZ are congruent, what is the measure of chord XY?
Answer:
11.2
Step-by-step explanation:
yz = 11.2
since the corresponding arc of yz and xy are same, their measures will ba same too
Answered by GAUTHMATH
Answer:
11.2
Step-by-step explanation:
good luck!
There are 11 reams of paper in a case. How many total reams of paper are in 12 cases?
I need help with this!
The length AC in the kite is 8.7 cm.
How to find the side AC in the kite?A kite is a quadrilateral that has two pairs of consecutive equal sides and
perpendicular diagonals. Therefore, let's find the length AC in the kite.
Hence, using Pythagoras's theorem, let's find CE.
Therefore,
7² - 4² = CE²
CE = √49 - 16
CE = √33
CE = √33
Let's find AE as follows:
5²- 4² = AE²
AE = √25 - 16
AE = √9
AE = 3 units
Therefore,
AC = √33 + 3
AC = 5.74456264654 + 3
AC = 8.74456264654
AC = 8.7 units
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find the product in lowest terms 24/18x2/17x34/3
Answer:
Step-by-step explanation:
To find the product of the given fractions in lowest terms, we can multiply the numerators and denominators together, and then simplify the resulting fraction:
(24/18) * (2/17) * (34/3)
First, we can simplify the fractions by reducing any common factors in the numerators and denominators:
24/18 = (212)/(29) = 12/9 = 4/3
2/17 = 2/17
34/3 = (2*17)/3 = 34/3
Now we can multiply the simplified fractions:
(4/3) * (2/17) * (34/3) = (4234)/(3173) = 272/153
The product of the given fractions in lowest terms is 272/153.
HW 2.2.1 LINEAR FUNCTIONS AND PROPERTIES please help me
The steps to graph and the graph of the first linear equation are provided.
How to graph a linear equation?Here we want to graph some linear equations, so let's do that with the first one, which is:
y = (-1/4)*x + 2
To graph it, just evaluate it in two different values of x, such that:
for x = 0
y = (-1/4)*0 + 2 = 2
So we have the point (0, 2)
for x = 4
y = (-1/4)*4 + 2 = -1 + 2 = 1
So we have the point (4, 1).
Now you just need to graph these two points on a coordinate axis and then connect them with a line. The graph of that line can be seen below.
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Finding the angle when given the right angle and two sides. Please show explanation. Thank you.
The measure of angle A in the right triangle is 75.52°
What is the measure of angle A?The figure in the image is a right triangle.
Measure of angle A = ?
Adjacent to angle A = 2
Hypotenuse = 8
To solve for the measure of angle A, we use the trigonometric ratio.
Note: cosine = adjacent / hypotensue
Hence:
cos( A) = adjacent / hypotensue
cos( A ) = 2/8
cos( A ) = 1/4
Take the cos inverse
A = cos⁻¹( 1/4 )
A = 75.52°
Therefore, the measure of the angle is 75.52 degree.
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There are 5 red marbles, 8 blue marbles, and 12 green marbles in a bag.
What is the theoretical probability of randomly drawing a red marble?
25%
62.5%
20%
41.7%
Answer:
20%
Step-by-step explanation:
The theoretical probability of drawing a red marble can be found by dividing the number of red marbles by the total number of marbles in the bag:
P(red) = number of red marbles / total number of marbles
P(red) = 5 / (5 + 8 + 12)
P(red) = 5 / 25
P(red) = 0.2
So the theoretical probability of randomly drawing a red marble is 20%, which corresponds to option (C).
The points A, B and C have position vectors a, b, c, referred to an origin O. i. Given that the point X lies on AB produced so that AB : BX = 2 : 1, find x, the position vector of X, in terms of a and b. ii. If Y lies on BC, between B and C so that BY : Y C = 1 : 3, find y, the position vector of Y, in terms of a and b iii. Given that Z is the midpoint of AC, Calculate the ratio XY : Y Z.
i. The position vector of X is 2b - a.
ii. The position vector of Y is (3b + c)/4.
iii. The ratio XY : Y Z is \(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\). Simplifying this expression will give us the final ratio.
i. To find the position vector x of point X, we can use the concept of vector addition. Since AB : BX = 2 : 1, we can express AB as a vector from A to B, which is given by (b - a). To find BX, we can use the fact that BX is twice as long as AB, so BX = 2 * (b - a). Adding this to the vector AB will give us the position vector of X: x = a + 2 * (b - a) = 2b - a.
ii. Similar to the previous part, we can express BC as a vector from B to C, which is given by (c - b). Since BY : YC = 1 : 3, we can find BY by dividing the vector BC into four equal parts and taking one part, so BY = (1/4) * (c - b). Adding this to the vector BY will give us the position vector of Y: y = b + (1/4) * (c - b) = (3b + c)/4.
iii. Z is the midpoint of AC, so we can find Z by taking the average of the vectors a and c: z = (a + c)/2. The ratio XY : YZ can be calculated by finding the lengths of the vectors XY and YZ and taking their ratio. Since XY = |x - y| and YZ = |y - z|, we have XY : YZ = |x - y|/|y - z|. Plugging in the values of x, y, and z we found earlier, we get XY : YZ =\(|(2b - a) - ((3b + c)/4)|/|((3b + c)/4) - (a + c)/2|\).
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50 m
50 m
28 m
Find the area of the isoceles triangle.
The area is
square meters.
9514 1404 393
Answer:
672 m²
Step-by-step explanation:
There are several ways you can do this.
It appears you are intended to divide the isosceles triangle into halves that are right triangles with a leg of 14 and a hypotenuse of 50. The height can then be found from the Pythagorean theorem:
h² = 50² -14² = 2304
h = √2304 = 48
Then the area is ...
A = 1/2bh
A = (1/2)(28 m)(48 m) = 672 m² . . . triangle area
_____
Additional comment
You may recognize the right triangle as a (7, 24, 25) Pythagorean triple, multiplied by 2.
Solve 5x^2-2x-1=4x to the nearest tenth
The solutions to the nearest tenth are x = -0.1 and x = 1.3
Solving the equation to the nearest tenthFrom the question, we have the following parameters that can be used in our computation:
5x² - 2x - 1 = 4x
Evaluate the like terms
So, we have
5x² - 6x - 1 = 0
Next, we solve using a graph
The graph of 5x² - 6x - 1 = 0 is added as an attachment
From the attached graph, we can see that the curve intersects with the x-axis at x = -0.1 and x = 1.3
This means that the solutions are x = -0.1 and x = 1.3
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Answer:
The solutions to the equation 5x^2-2x-1=4x to the nearest tenth are x ≈ 1.3 or x ≈ -0.4.
Step-by-step explanation:
To solve the equation 5x^2-2x-1=4x to the nearest tenth, we can start by moving all the terms to one side of the equation.
5x^2-2x-1=4x
5x^2-6x-1=0
Next, we can use the quadratic formula to solve for x:
x = (-b ± sqrt(b^2 - 4ac)) / 2a
where a = 5, b = -6, and c = -1.
Plugging these values into the formula gives:
x = (-(-6) ± sqrt((-6)^2 - 4(5)(-1))) / 2(5)
x = (6 ± sqrt(56)) / 10
x ≈ 1.3 or x ≈ -0.4can someone anwer this pleaseeee
Answer:
D
Step-by-step explanation:
the formula of 90 Degree angle
(y,-x)
Answer:
thay
Step-by-step explanation:
Use the Pythagorean theorem to solve the missing side length round to the nearest tenth if needed
Answer:
h²=b²+p²
15²=6²+p²
225-36=p²
189=p²
13.74=p
Suppose x is a random variable best described by a uniform probability distribution with c = 10 and d = 70. Find P(x < 25).
If you're talking about a discrete distribution, then
\(P(X=x)=\begin{cases}\frac1{61}&\text{for }x\in\{10,11,12,\ldots,70\}\\0&\text{otherwise}\end{cases}\)
(1/61 because there are 61 numbers in the range of integers from 10 to 70) so that
\(P(X<25)=\displaystyle\sum_{x=10}^{24}P(X=x)=\boxed{\dfrac{15}{61}}\)
If the distribution is continuous, we would have the same density function, but x can be any real number in the interval [10, 70]. So we have
\(P(X<25)=\displaystyle\int_{-\infty}^{25}P(X=x)\,\mathrm dx=\frac1{60}\int_{10}^{25}\mathrm dx=\dfrac{15}{60}=\boxed{\dfrac14}\)
Question 2
No calculations are necessary to answer this question.
3/01
3/02
$1.7420 $1.7360
Date
July GBP Futures
Contract Price
O long; long
Based on the closing prices of July GBP Futures Contract over the 3-day period in March 20XX as shown above, you shou
position on 3/01 and a position on 3/02.
O long; short
O short; short
3/03
short; long
$1.7390
The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.
Cooling towers are used to remove or expel heat from a process. A cooling tower's walls are modeled by x squared over 400 minus quantity y minus 110 end quantity squared over 2304 equals 1 comma where the measurements are in meters. What is the width of the cooling tower at the base of the structure? Round your answer to the nearest whole number.
100 meters
50 meters
48 meters
40 meters
The width of the cooling tower at the base of the structure is 40 meters.
Width of the cooling towerGiven equation
x²/400 -(y-90)²/1600=1
Solving for the width
Cooling tower width =2√400
Cooling tower width=2×20
Cooling tower width=40 meters
Therefore the correct option is D. 40 meters.
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Answer:
40
Step-by-step explanation:
Andy is hanging wallpaper in his kitchen. He is to cover 2 2/5 of the walls in the room using 6 rolls of paper. What is the number of rolls of paper used per wall?
The number of rolls of paper used per wall will be 1.5 rolls per wall.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Andy is hanging wallpaper in his kitchen. He is to cover 2 2/5 of the walls in the room using 6 rolls of paper. We know that the room has 4 walls.
Then the number of rolls of paper used per wall is given as,
⇒ 6 / 4
⇒ 1.5 rolls per wall
The number of rolls of paper used per wall will be 1.5 rolls per wall.
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Inequalities - Introduction
Answer:
n = 19
Step-by-step explanation:
2n > 36 ( divide both sides by 2 )
n > 18
and
5n < 100 ( divide both sides by 5 )
n < 20
so n > 18 and n < 20
thus n = 19
If f(-2) = a and (f • g) (-2) = 2a^2, which of the following is g (-2)?
Answer: \(g(-2)=2a\)
Step-by-step explanation:
\((f \cdot g)(-2)=f(-2)g(-2)\\\\\therefore a \cdot g(-2)=2a^2 \implies g(-2)=2a\)
The function g(-2) from the given functions is 2a.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given functions are f(-2)=a and (f·g)(-2)=2a².
Here, (f·g)(-2)=2a²
f(-2)·g(-2)=2a²
a·g(-2)=2a²
g(-2)=2a²/a
g(-2)=2a
Therefore, the function g(-2) is 2a.
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On a bicycle, Reshanda rides for 4 hours and is 30 miles from her house. After riding for 11 hours, she is 79 miles away. What is Reshanda's average rate over the last 7 hours of her trip?
Based on the number of miles that Reshanda rode on her bicycle from her house, her average rate over the last 7 hours of the trip was 7 miles per hour
How to find the average rate?The average rate shows the speed that a person was going over a period of time such that they were able to cover a certain distance, in that period of time.
First, find the number of miles that Reshanda rode in the last 7 hours of her trip on the bicycle:
= Number of miles after 11 hours - Number of miles after 4 hours
= 79 miles - 30 miles
= 49 miles
Reshanda was able to ride for 49 miles in the last 7 hours so her average rate was:
= Distance / Time
= Number of miles ridden / Time ridden
= 49 / 7
= 7 miles per hour
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Need help, pls!!!
ty!
The graph of this function will behave as (b) A graph of this function would slope downward, starting from a price of $100 dollars because the rate of change is less than 0 and the initial value is -10.
The demand function is given by d = 100 - 10p. This means that the quantity demanded (d) decreases as the price (p) increases.
The slope of the demand function is the rate of change of the quantity demanded with respect to the price. In this case, the slope is -10, which is negative. This indicates that as the price increases, the quantity demanded decreases.
The initial value of the demand function is 100, which represents the quantity demanded when the price is zero. This means that the demand function intersects the y-axis at (0, 100).
Therefore, the correct answer is (b) A graph of this function would slope downward, starting from a price of $100 dollars because the rate of change is less than 0 and the initial value is -10.
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