The height of the plane sighted by the two observer is 13.5 km.
How to find the height of the plane?The plane is sighted by two observers 1 km apart at angles 74 degrees and 78 degrees.
The height of the plane can be calculated as follows:
The side of the triangle can be gotten using sine law.
The law of sine or the sine law states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides
a / sin A = b / sin B = c / sin C
Hence,
x / sin 74 = 1 / sin 4
cross multiply
x sin 4 = 1 sin 74
divide both sides by sin 4
x = 1 sin 74 / sin 4
x = 0.96126169593 / 0.06975647374
x = 13.7794598314
Therefore, let's find the height of the plane using trigonometric ratio,
sin 78° = opposite / hypotenuse
sin 78° = h / 13.8
cross multiply
h = 13.8 × sin 78
h = 13.4984368901
h = 13.5 km
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Answer: The correct answer is the plane is flying at a height of 13.5 km.
Step-by-step explanation:
Using the Sine Law, you can find the side of the triangle as it has been defined.
Angles A+B+C=180
Angle A = 74
Angle B = 78
Angle C = 28
x/sin74 = 1/sin4
xsin4 = 1sin74
x = 1sin74/sin4
x = 13.7794598
Height = 13.779*sin 78
Height = 13.4984 rounded to 13.5 km
HELP! WILL GIVE BRAINLIEST IF YOUR ANSWER IS RIGHT Maria lives in Mexico. Both of her parents are Mexican. Maria is a Mexican citizen. She was born in an American hospital when her parents were on a short vacation in San Diego, California. Was Maria an American citizen at birth? Explain your answer.
Yes, Maria was a "citizen" of America.
What is citizenship?A legal status and relation between an individual and a state that entails specific legal rights and duties.
Given that, Maria lives in Mexico. Both of her parents are Mexican. Maria is a Mexican citizen. She was born in an American hospital when her parents were on a short vacation in San Diego, California.
The answer is yes,
A child born in American soil will be an American citizen.
Hence, Maria an American citizen at birth.
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5 x + 2 = 22
What is
Answer:
Step-by-step explanation:
5x + 2 = 22
Bringing like terms on one side
5x = 22 - 2
5x = 20
x = 20/5 = 4
What is the cube of the cube root of 27?
Answer:
\( { \sqrt[3]{27} }^{3} \\ we \: can \: solve \: this \: in \: two \: ways \\ 1)cube \: root \: means \: power \frac{1}{3} \\ so \: { \sqrt[3]{27} }^{3} = { {27}^{ \frac{1}{3} } }^{3} = {27}^{ \frac{3}{3} } = 27 \\ 2) { \sqrt[3]{27} }^{3} \\ \sqrt[3]{27} = 3 \\ so \: {3}^{3} = 27 \\ thank \: you\)
2x-1=y
3x-1=y
Consider the system of equations above. Which of the following statements about this system is true?
Answer:
B; There is only one (x,y) solution and y is negative
Step-by-step explanation:
First, I graphed the two equations. Attached is an image of the equations graphed. Next, I looked for overlapping points. Wherever the two points overlap, there is a solution. When looking at the graph, we can see the lines overlap at only one point, (0,-1). Since y is negative, the answer must be B; there is only one (x,y) solution and y is negative.
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Solve the equation, 3/4x + 3 - 2x = -1/4 + 1/2x + 5
Answer:
I think x= -1
Step-by-step explanation:
Triangle LMN was dilated to create L’M’N. The coordinates of the pre-image and the image are shown in the table belowL(0,4) M(0.8) N(5.10) L’(0,10) M’(0,20) N’(12.5,25) find the scale favor that used in the dilation record your answer on the gird
Answer:
L'M'N' is scaled by 2.5
Step-by-step explanation:
10 / 4 = 2.5
20 / 8 = 2.5
A school carnival sold 24 early-admission tickets and 72 regular tickets. What percentage of the tickets sold were early-admission tickets? Write your answer using a percent sign (%).
Answer:
25%
Step-by-step explanation:
add both kinds of tickets first to get the total
24 early admission + 72 regular = 96 total tickets
then divide 24 early tickets by 96 total tickets to get the decimal, then multiply by 100 to get percent
\(\frac{24}{96} = 0.25 * 100 = 25\)%
Fill in the P = X x values to give a legitimate probability distribution for the discrete random variable X , whose possible values are − 2 , 1 , 2 , 3 , and 6 .
Answer:
2
Step-by-step explanation:
whose possible values are − 2 , 1 , 2 , 3 , and 6 .
For which of the following values of x is the function f(x) = 14- X2 NOT defined as a real number? [square root] A. -2 B. 0 C. 2 D. 4
We want to find the value for which the function,
\(f(x)=\sqrt[]{4-x^2}\)not defined as a real number.
The square root of a number is a real number when the number is a positive number.
So, if we put in the values of x , we see that.
\(\begin{gathered} \sqrt[]{4-(-2)^2}=\sqrt[]{4-4}=0\text{ this is a real number } \\ \sqrt[]{4-(0)^2}=\sqrt[]{4}=2\text{ this is also a real number} \\ \sqrt[]{4-(2)^2}=\sqrt[]{4-4}=0\text{ this is a real number too} \\ \sqrt[]{4-(4)^2}=\sqrt[]{4-16}=\sqrt[]{-12}\text{ this is NOT a real number} \end{gathered}\)We see that, the value of x that does not return a real number is x = 4, Option DW
PLEASE HELP ALGEBRA 2 WORK
The domain of a function is all the possible input values for which the function is defined.
What is function?Function is a block of code that performs a specific task. It is a reusable piece of code that can be called from other parts of the code, reducing the amount of code that needs to be written and making the code easier to read and maintain. Functions can take in parameters and return values, allowing for increased flexibility and reusability. Functions can also be used to break up large programs into smaller, more manageable pieces.
In this case, the reasonable domain for the function f(x) = 4x³-50x²+150x would be all real numbers. This is because the function is a polynomial, which is continuous, meaning that it is defined for all real numbers.
The input of the function is a width, and the output is a volume. Therefore, the domain of the function should include all reasonable widths that could produce a volume. This means that the domain should include all positive real numbers, as any negative value would produce a negative volume, which is not reasonable. Thus, the reasonable domain for the function f(x) = 4x³-50x²+150x is all positive real numbers.
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1.
I Which number line shows the solution to the inequality
-3x - 5 < -2?
A.
B.
C.
D.
-3 -2 -1 0 1
-3 -2 -1 0 1
0++
0 1
3 -2 -1 0
2 3
2 3
2 3
+++
-3 -2 -1 0 1 2 3
ANSWER PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answer:
ok
Step-by-step explanation:
domain = (3,3)
range= (1,1)
funtion=discrete?
The temperature in a town is 35.2°F during the day and -24.5°F at night. Find the difference in the temperatures
Answer:
\(\huge\boxed{\bf\:59.7^{\circ}\:F}\)
Step-by-step explanation:
Temperature during the day = \(35.2^{\circ}F\)
Temperature at night = \(-24.5^{\circ}F\)
Difference in the temperatures
= Temperature during the day - Temperature at night
= \(35.2^{\circ}F - (- 24.5^{\circ}F)\\= 35.2^{\circ}F + 24.5^{\circ}F\\=\boxed{\bf\:59.7^{\circ}F}\)
Difference in the temperatures = 59.7° F
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Wich if the following is the slope of a line that passes through the points below ? Show all work
Answer: m = -1/2
Use (y2-y1)/(x2-x1) to find the slope.
These shapes are similar.
Find X.
5
5
30
24
30
Answer: 4
Step-by-step explanation:
If you have 32 DVD’s how many more do you need to equal 50
X-y=5 and x^2y=5x+6
By applying algebraic handling on the two equations, we find the following three solution pairs: x₁ ≈ 5.693 ,y₁ ≈ 10.693; x₂ ≈ 1.430, y₂ ≈ 6.430; x₃ ≈ - 0.737, y₃ ≈ 4.263.
How to solve a system of equations
In this question we have a system formed by a linear equation and a non-linear equation, both with no trascendent elements and whose solution can be found easily by algebraic handling:
x - y = 5 (1)
x² · y = 5 · x + 6 (2)
By (1):
y = x + 5
By substituting on (2):
x² · (x + 5) = 5 · x + 6
x³ + 5 · x² - 5 · x - 6 = 0
(x + 5.693) · (x - 1.430) · (x + 0.737) = 0
There are three solutions: x₁ ≈ 5.693, x₂ ≈ 1.430, x₃ ≈ - 0.737
And the y-values are found by evaluating on (1):
y = x + 5
x₁ ≈ 5.693
y₁ ≈ 10.693
x₂ ≈ 1.430
y₂ ≈ 6.430
x₃ ≈ - 0.737
y₃ ≈ 4.263
By applying algebraic handling on the two equations, we find the following three solution pairs: x₁ ≈ 5.693 ,y₁ ≈ 10.693; x₂ ≈ 1.430, y₂ ≈ 6.430; x₃ ≈ - 0.737, y₃ ≈ 4.263.
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Metric units please help 50 points plus brainliest
Answer:
100 centimeters is equivalent to about 1 yard
500 grams is equivalent to about 1 pound
250 milliliters is equivalent to about 1 cup
Step-by-step explanation:
I researched some of these to find there equivalency
A road has a speed limit sign at the beginning that is noticed by 84 % of people. 95 % of people who didn't notice the sign speed on the road. Of those who notice the sign, 75 % follow the speed limit.
How many percent of people speeding on this road noticed the sign? In other words, how many people on this road speed on purpose. Give your answer in percentage.
The percentage is the indicating hundredth thus the percentage of people speeding on this road who noticed the sign would be 84% - 75% = 9%.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
As per the given,
Percentage of people who notice the speed limit = 84%
The percentage of people who notice the sign and follow the speed limit is 75%.
Therefore, 84% - 75% = 9% are the percentage speeding and noticed.
Hence "The percentage is the indicating hundredth thus the percentage of people speeding on this road who noticed the sign would be 84% - 75% = 9%".
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suface area of cuboid 9 5 4
The cuboid in question has a surface area of 202 square units.
We must sum together the areas of all six faces to determine a cuboid's surface area.
The dimensions of the given cuboid are:
length (l) = 9 units
width (w) = 5 units
height (h) = 4 units
The area of each face is given by:
Top and bottom faces:\(lw = 9 * 5 = 45\) square units each
Front and back faces: \(lh = 9 *4 = 36\) square units each
Left and right faces: \(wh = 5 * 4 = 20\) square units each
Therefore, the total surface area of the cuboid is:
\(2(lw + lh + wh) = 2(45 + 36 + 20)\\ = 2(101) \\= 202 \ square \ units\)
Hence, the surface area of the given cuboid is 202 square units.
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Evaluate the following absolute value function for x=-1
y = 5|x+4|
Answer:
y=15
Step-by-step explanation:
y = 5|-1+4|
y=5|3|
y=15
Given the following estimated regression, please give the correct magnitude of the coefficients, and provide a one sentence interpretation of the relationship between Y and X as talked about in class Wage = 15.00 + 0.28-YrsEdu. Where Wage is currently in dollars, and YrsEdu. are in years. A) Suppose we want Wages to be in thousands of dollars instead of dollars. B) Suppose we want Yrsedu. to be in terms of weeks instead of years. C) Suppose we want Wages to be in hundreds of dollars AND YrsEdu. in days (given that a year of education is only 180 days).
Answer:
Following are the answer to the given choices:
Step-by-step explanation:
In potion A:
The model, that will be formed can be defined as follows:
\(\widehat{W age} = \hat b_{0} + \hat b_{1} x Y_{rs} \epsilon done \\\\ \hat B_1 = \frac{\sum_{i=1}^{n} (W_{age}i - \widehat{W age} \times (Y_{rs} Edui - \widehat{Y_{rs}\epsilon})}{\int S_{yrs}\epsilon dre}\\\)
\(\ the \ new \ W_{age} = 10^{-3} \times W_{age} \\\\\hat {B_{1 new}} = 10^{-3} \hat {B}\\\\ \hat{B_{0}} = \widehat{W age} -\hat {B_1} \bar{Y_{rs}\epsilon dus} \\\\\hat{B_{0 \ new}} = \widehat{W age} \times 10^{-3} - 10^{-3} \hat {B_1} Y_{rs}\epsilon dus \\\)
\(= 10^{-3} \hat {B_0}\\\)
\(\hat B_{0 \ new} = 15 \times 10^{-3} \\\hat B_{1 \ new} = 0.28 \times 10^{-3} \\\)
In potion B:
\(\ The \ new \ Y_{rs}\epsilon dus = \frac{Y_{rs} \epsilon dus}{7} \\\hat b_{1 \ new} = 7 \hat b_1\\\hat b_{ 0 \ new } = \widehat{W_{age}} - 7 \hat b_1 \times \frac{\bar Y_{rs}\epsilon dus}{7} \\\hat b_{0 \ new} = \hat B_{0}\\\hat b_{0} = 15.00 \\\hat b_{1} = 0.04 \\\)
In potion C:
\(\ Y_{rs}\epsilon dus \ new = \frac{Y_{rs} \epsilon dus}{180} \\\\\widehat{W_{age} new} = \widehat{W_{age}} \times 10^{-2} \\\\\hat b_{1 \ new} = \hat b_{1} \times 10^{-2} \times 180 = \hat b_1 \times 1.8 \\\\\ hat b_{ 0 \ new } = 10^{-2} \widehat{W_{age}} - \hat b_1 \times 1.8 \times \frac{\bar Y_{rs}\epsilon dus}{180} \\\\\)
\(= 10^{-2} \ \hat B_{0}\\\)
\(\hat b_{0 \ new} = 0.15 \\\hat b_{1 \ new} = 0.504 \\\)
Maria’s vegetable garden measures 5⅔ feet by 6⅚ feet. What is the area of the garden?
Maria’s vegetable garden measures 5⅔ feet by 6⅚ feet. 38.72 feet² is the area of the garden. This can be solved using the concept of the area of rectangle.
What is area of a rectangle?A rectangle is a sort of quadrilateral with parallel sides that are equal to one another and four vertices that are all 90 degrees apart. Because of this, it is also known as an equiangular quadrilateral. Because the opposing sides of a rectangle are equal and parallel, it can also be referred to as a parallelogram.
Each and every square is a rectangle since it is a quadrilateral with right angles on all four sides. But not all rectangles are squares; for a shape to be a square, all of its sides must have the same length.
So a square is also a rectangle and a rhombus. There is no square shape in the rectangle or rhombus. The trapezium shape is a parallelogram.
Maria’s vegetable garden measures 5⅔ feet by 6⅚ feet.
So, it is a rectangular garden.
Now, area = 5⅔ feet × 6⅚ feet
or, area = 17/3 feet × 41/6 feet
or, area = 697 /18 feet²
or, area = 38.72 feet²
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What is five times that quantity
Answer:
basically multiplication, (that quantity) times 5
Step-by-step explanation:
Pls answer these correctly I need it ASAP
Simply ask your parents or someone to help you your welcome.
8.2: Word Problems - UNDERLINE key words, set up your division sentence, then solve!
Ms. K's cooking club needs 2 1/4 cups of flour to make enough crepes for everyone in the class. The
club split into 6 smaller groups, each making their own batch. How much flour does each group
need?
Answer:
3/8
Step-by-step explanation:
hope it helps :)
3 5/12 + 1 3/8
WAT IS IT
Answer:
4 19/24
Step-by-step explanation:
3 5/12 + 1 3/8
denominators multiplied by 3 and the numerators
= 3 10/24 + 1 9/24=4 19/24
ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing because people usually guess on my questions.
Answer:
A
Step-by-step explanation:
(f-g)(x) means that the 2 functions are being subtracted.
\(3^{x}\) +10x -(5x-3) =\(3^{x}\) +10x-5x+3
simplify!
\(3^{x}\) +5x+3
the answer is A
Are the lines -x-5y= 7 and the lines 5x-y=-9 perpendicular?
Any line that is perpendicular to a given line y = ax + b must have slope -1/a
For the lines -x - 5y = 7 and 5x - y = -9, first, we rewrite them in the slope-intercept form:
y = -x/5 - 7/5
y = 5x + 9
We can check that the slope of the first line is the negative inverse of the slope of the second line. Therefore, the lines are perpendicular.
Solve 7x+23x-5=6(5x+8). Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. x=
OB. The equation has infinitely many solutions.
OC. The equation has no solution.