1) find the measure <Ø. Round to one decimal place.
2.) find the measure of line BA. round to one decimal place
PLEASE ANSWER QUICKLY, 15 POINTS
Answers
Answer:
Θ = 45°
BA = [tex]3\sqrt{2}[/tex] = 4.243
Step-by-step explanation:
i) the given triangle is a right angled isosceles triangle.
ii) the base and the height are both equal. height = base = 3 cm.
iii) from the rule of triangles the sum of all angles in a triangle is 180° and since the triangle is an right angled isosceles triangle one angle is 90° and the other two angles are equal.
Therefore
Θ° + Θ° + 90° = 180° ⇒ 2Θ° = 180° - 90° = 90° ∴ Θ = 45°
iv) the hypotenuse BA is given by the Pythagoras' theorem
∴ hypotenuse (BA) = [tex]\sqrt{base^{2} + height^{2} }[/tex] = [tex]\sqrt{BC^{2} + CA^{2} }[/tex] = [tex]\sqrt{3^{2} + 3^{2} }[/tex] = [tex]3\sqrt{2}[/tex] = therefore BA = [tex]3\sqrt{2}[/tex] = 4.243
To accurately determine the measure of angle Ø and the length of line BA, specific information or data related to the geometry or vectors involved is required. The measure of angle Ø may be calculated using geometrical principles or trigonometry, and the length of line BA could be determined by measuring or calculation if the context is known.
Explanation:To find the measure of ∠Ø, you would typically need additional information such as the lengths of the sides of a triangle, the measures of other angles, or the coordinates of points if you are working with a graph. Similarly, to find the measure of line BA, information about the specific triangle, polygon, or coordinate grid where line BA exists is necessary. For example, using the Pythagorean theorem for a right-angled triangle or the distance formula for points on a coordinate grid.
If you are given the lengths of sides or the measures of angles, you can apply geometric principles or trigonometric ratios to calculate the desired measurements. Without the specific data or a provided figure, it's not possible to give an exact answer to these questions.
In the case of vector analysis, as mentioned in the reference provided, to measure line BA you would draw vectors on a graph and construct a parallelogram; the length of the diagonal could then be measured to find the result. For angles, you could use a protractor or apply trigonometric functions if you know the components of the vectors.
Related Questions
There are 625 students at Medin Middle School. If there 8% of the students were absent on Tuesday, how many students were absent?
Answers
Final answer:
To calculate the number of absent students at Medin Middle School, multiply the total number of students, 625, by 8%, which results in 50 absent students.
Explanation:
The question is asking to calculate the number of students who were absent from Medin Middle School on a given Tuesday when 8% of the student body did not attend. To find out how many students were absent, multiply the total number of students, 625, by the percentage of absentees, which is 8%.
The calculation is as follows:
Absent students = Total students × Percentage of absence
Absent students = 625 × 0.08
Absent students = 50
Therefore, there were 50 students absent from Medin Middle School on Tuesday.
The first and second grade students told the
dentist how many teeth they have lost this year.
Which type of graph would allow her to compare the median
number of teeth lost for each grade level EASILY? Teeth Lost This Year
per Grade
QUICK WHAT IS THE ANSWERS
Answers
Answer:
Box plot
Step-by-step explanation:
Box plot because it’s comparing the median and I guessed it, and got it right so...
in the equation 3(x - 1) = 2x + c for what value of c will x = 3
Answers
Answer:
0
Step-by-step explanation:
replace x with 3 and you will get the answer
How many solutions does this system have? 12 x - 4 y = - 8. y = 3 x + 2.
Answers
Answer:
infinite
Step-by-step explanation:
if you graph the equation it would overlap.
overlap = infinite
parallel = no solution
intersect = one solution
As a science expirment Mo and Jo want to send their rocket into space. They need 1/4 cup of water and 1/6 cup of a secret component. How much is there of these two components together?
Answers
There are [tex]\frac{5}{12}[/tex] of these components together
Solution:
As a science experiment Mo and Jo want to send their rocket into space
They need 1/4 cup of water and 1/6 cup of a secret component
From given question,
[tex]\text{Cup of water} = \frac{1}{4}\\\\\text{Cup of secret component } = \frac{1}{6}[/tex]
How much is there of these two components together?
So we need to add these together
[tex]\text{Cup of water}+ \text{Cup of secret component } = \frac{1}{4} + \frac{1}{6}\\\\\text{Cup of water}+ \text{Cup of secret component } = \frac{1 \times 6}{4 \times 6} + \frac{1 \times 4}{6 \times 4}\\\\\text{Cup of water}+ \text{Cup of secret component } =\frac{6}{24} + \frac{4}{24}\\\\\text{Cup of water}+ \text{Cup of secret component } = \frac{6+4}{24} = \frac{10}{24} = \frac{5}{12}[/tex]
Thus there are [tex]\frac{5}{12}[/tex] of these components together
Nathan drew a scale drawing of a hotel. A room in the hotel is 55 inches long in the drawing. The actual room is 22 feet long. What scale did Nathan use?
Answers
Answer:
Nathan use scale of 5 inches : 2 feet.
Step-by-step explanation:
Given:
Nathan drew a scale drawing of a hotel.
A room in the hotel is 55 inches long in the drawing.
The actual room is 22 feet long.
Now, to find the scale Nathan use.
The scale drawing of room = 55 inches.
The actual room = 22 feet.
Now, to get the scale Nathan use we set the ratio:
The scale drawing of room : The actual room.
= [tex]55\ inches:22\ feet[/tex]
[tex]=\frac{55}{22}[/tex]
[tex]=\frac{5}{2}[/tex]
[tex]=5\ inches:2\ feet.[/tex]
Therefore, Nathan use scale of 5 inches : 2 feet.
The scale factor Nathan used is 2/5.
Explanation:To find the scale factor, we can set up a proportion using the length in the drawing and the actual length. Let x represent the scale factor. The proportion can be set up as follows:
55 inches / 1 = 22 feet / x
Cross multiplying, we get:
55 * x = 1 * 22
Simplifying, we have:
x = 22 / 55 = 2 / 5
Therefore, the scale factor Nathan used is 2/5.
What is 4.356 rounded to the nearest whole number?
Answers
Answer:
Nearest whole is 4
Step-by-step explanation:
The answer is 4
What are whole numbers?The complete set of natural numbers along with '0' are called whole numbers. The examples are: 0, 11, 25, 36, 999, 1200, etc.
Given here: The decimal number 4.356
Thus rounding to nearest whole number we get 4
Hence, The answer is 4
Learn more about whole numbers here:
https://brainly.com/question/29766862
#SPJ3
Weekly wages at a certain factory are
normally distributed with a mean of
$400 and a standard deviation of $50.
Find the probability that a worker
selected at random makes between
$300 and $350.
Answers
Answer: 0.1359
Step-by-step explanation:
mean = $400
Standard deviation = $50
Since the wages is normally distributed , the first thing is to find the z - score.
z = [tex]\frac{x-mean}{standard deviation}[/tex]
finding the z - value for 300 and 350 , we have
z = [tex]\frac{300-400}{50}[/tex]
z = [tex]\frac{-100}{50}[/tex]
2 = -2
also
z = [tex]\frac{350-400}{50}[/tex]
z = [tex]\frac{-50}{50}[/tex]
z = -1
The next thing is to check the calculated value on z - table.
From z - table :
P (z[tex]\leq[/tex] -2 ) = 0.0228
P ( z [tex]\leq -1[/tex] ) = 0.1587
combining the two
P ( -2[tex]\leq[/tex]z[tex]\leq[/tex]-1 ) = 0.1587 - 0.0228
P ( -2[tex]\leq[/tex]z[tex]\leq[/tex]-1 ) = 0.1359
Therefore , the the probability that a worker
selected at random makes between
$300 and $350 = 0.1359
Answer:13.5
Step-by-step explanation:
Which integer represents the following: –(–(–65))?
65
-65
Answers
Answer:
Step-by-step explanation:
-(-(-65))
a neg times a neg times a neg = negative
ur answer is -65
Answer:
- 65
Step-by-step explanation:
–(–(–65))?
Note: - × - = +
- × + = -
So, +(-65) = -65
The perimeter of a retangular field is 294 yards. If the width of the field is 64 yards what is the length?
Answers
Answer:
83 yards
Step-by-step explanation:
We are given;
Perimeter of rectangle is 294 yards Width is 64 yardsWe are required to determine the length;
we need to know how to get the perimeter of the rectangle;Perimeter = 2( length + width)That is;
P = 2 (L + W)
P = 2L + 2W
Rearranging the formula;
2L = P - 2W
Therefore;
2L = 294 yards - 2 (64 yards)
= 294 - 128
= 166
L = 166 ÷ 2
= 83 yards
Thus, the length of the rectangle is 83 yards.
Rewrite 4^5=1024 as a logarithmic equation.
Answers
Log base 4 of 1024 equals 5.
To rewrite the equation 4^5 = 1024 as a logarithmic equation, we use the definition of a logarithm to get log4(1024) = 5, which indicates that 4 raised to the power of 5 equals 1024.
Explanation:To rewrite the exponential equation 4^5 = 1024 as a logarithmic equation, we need to apply the definition of a logarithm which states that if b^y = x, then logb(x) = y. In this case, our base (b) is 4, the exponent (y) is 5, and the result (x) is 1024. Therefore, the equivalent logarithmic equation is log4(1024) = 5.
Remember that a logarithm essentially answers the question: To what exponent must the base be raised to produce a given number? Here, we are saying that 4 must be raised to the power of 5 to get 1024. This transformation from an exponential to a logarithmic form is a fundamental concept in mathematics, particularly when dealing with logarithmic scales and operations.
please help with ixl problem pls get it right has 2 people get it wrong out of points please help:(
Answers
Answer:
y=2x + 3
Step-by-step explanation:
I checked I'm positive this is right lol
A rocket is dropping to the moons surface at a constant rate of 15 feet per second. After 2 minutes of descent the rocket is at a height of 11,400 feet above the moons surface. At what elevation in feet was the rocket when it started to drop to the moons surface?
Answers
Answer:
13,200 feet
Step-by-step explanation:
So, the rocket starts descending at a given rate and time, so we first need to find the length it passed during that descent.
Length equals to speed multiplied with time:
s = v • t
since speed is given in feet per second, we need to convert minutes to seconds; if one minute has 60 seconds, then two minutes have 120 seconds.
s = 15 feet/s • 120 s
s = 1800 feet
So, the rocket descended 1800 feet, but it still has 11,400 feet to the Moon's surface. That means that the rocket was on 11,400 + 1,800 = 13,200 feet elevation when it started to drop.
multiply 1/4 how many times
Answers
if you multiply it 4 times it will equal one whole
Step-by-step explanation:
not sure if that's what ya wanted but yeah
Karen and Katy were putting a puzzle together. Karen was four times faster at matching the pieces than Katy. If there were 80 pieces to the puzzle, how many pieces did Karen match?
Answers
Answer:
64! For those of you that really need help!
Step-by-step explanation:
Answer:64
Step-by-step explanation:64
The graph below shows the distances, in miles, that a dragonfly can travel in a certain number of hours:
A graph titled Motion of a Dragonfly shows Time in hours on the x axis and Distance in miles on the y axis. The scale on the x axis shows number from 0 to 10 at increments of 2, and on the y axis, the numbers are shown from 0 to 220 at increments of 44. A straight line joins the ordered pairs 0, 0 and 2, 44 and 4, 88, and 6, 132
Based on the graph, what is the dependent variable, the equation relating the two variables, and how far will the dragonfly travel in 24 hours if it continues to fly at the same speed?
The dependent variable is time, the equation is y = 22x, and the dragonfly will travel 528 miles.
The dependent variable is time, the equation is x = 22y, and the dragonfly will travel 1,056 miles.
The dependent variable is distance, the equation is y = 22x, and the dragonfly will travel 528 miles.
The dependent variable is distance, the equation is x = 22y, and the dragonfly will travel 1,056 miles.
Answers
Answer:
The dependent variable is the distance, the equation is y = 22x, and the dragonfly will travel 528 miles.
Step-by-step explanation:
See the graph attached.
It is clear from the graph that the dependent variable is distance and the equation of the straight line is y = 22x, where x is the independent variable times in hours and y is the dependent variable distance in miles.
Now, for x = 24 hours, from the equation we get, y = 22 × 24 = 528 miles.
So, the dragonfly will travel 528 miles. (Answer)
Answer:
The answer is C. The dependent variable is distance, the equation is y = 22x, and the dragonfly will travel 528 miles.
I did the test, oh yeah and good luck on the test!!!!!!
If the numerator and denominator of a fraction are both prime numbers and are not equal to each other, can the fraction be simplified?
Answers
Answer:
No, primes cannot be divided by anything else then the number itself and one. Therefor you cannot divide it by any other prime.
Final answer:
A fraction with a numerator and denominator that are both prime numbers and different from each other cannot be simplified because there are no common factors to remove, as prime numbers only have 1 and themselves as factors.
Explanation:
If the numerator and denominator of a fraction are both prime numbers and are not equal to each other, the fraction cannot be simplified further. This is because prime numbers have only two factors: 1 and themselves. To simplify a fraction, you would prime factorize both the numerator and the denominator and then remove any common factors found in both.
However, since prime numbers have no other factors besides 1 and the number itself, and the two primes in our fraction are not equal, there are no common factors to remove. For example, in the fraction ⅓, both 3 and 5 are prime and there is no number other than 1 that can divide both. Hence, ⅓ is already in its simplest form.
====================================================== Please don't delete this one....
Answers
Answer:
Parallelograms
Step-by-step explanation:
Opposite sides are parallel by definition. Opposite sides are congruent. Opposite angles are congruent.
Answer:
Parallelegrams :)
Step-by-step explanation:
all of them have at least 2 parallel sides
What are the slope and the y-intercept of the linear function that is represented by the equation 8 x minus 2 y = 5?
The slope is Negative five-halves, and the y-intercept is 4.
The slope is Five-halves, and the y-intercept is 4.
The slope is 4, and the y-intercept is Negative five-halves.
The slope is 4, and the y-intercept is Five-halves.
Answers
Answer:
The slope is 4, and the y-intercept is Negative five-halves
Step-by-step explanation:
we have
[tex]8x-2y=5[/tex]
This is the equation of the line in standard form
Convert the equation in slope intercept form
[tex]y=mx+b[/tex]
where
m is the slope
b is the y-intercept
Isolate the variable y
Subtract 8x both sides
[tex]-2y=-8x+5[/tex]
Divide by -2 both sides
[tex]y=4x-\frac{5}{2}[/tex]
therefore
[tex]m=4\\b=-\frac{5}{2}[/tex]
The slope is 4, and the y-intercept is Negative five-halves
Given that,
The linear function that is represented by the equation 8 x minus 2 y = 5.Based on the above information, the calculation is as follows:
8x - 2y = 5
We know that y = mx + b
Here
m is the slope
b is the y-intercept
Isolate the variable y
So,
-2y = -8x + 5
Now divide 2 by both sides
[tex]y = 4x - \frac{5}{2}[/tex]
So,
m = 4
And b [tex]= \frac{-5}{2}[/tex]
Learn more: brainly.com/question/17429689
Is 7 grams greater than 60 milligram
Answers
Answer:
yes 7 grams is greater than 60mg
Step-by-step explanation:
as 1gram is 1000 milligrams
If X = 16 feet and Y = 8 feet, what is the area of the figure above ? Use 3.14 for pi .
A. 153.12 feet^2
B. 178.24 feet^2
C. 228.48 feet^2
D. 52.56 feet^2
Answers
Answer:
A
Step-by-step explanation:
You can probably figure out the rectangle of 16 by 8 so no explaining there. 16×8=128. You know that diameter of the cirkel is equal to y so 8. The diameter of a cirkel is two times its radius. so 8=2r. r=4. The area of a cirkel is calculated by the formula \pi×r^2. Fill in r=4 in \pi×r^2 gives us \pi×4^2=16\pi. You only have half of the cirkel so 16\pi/2=8\pi. 128+8\pi=153.12 which is A.
Please Help!! Questions 15-17.
Show you work
Thank you!!
Answers
Answer:
Step-by-step explanation:
What are the solutions of x2 +6x-6 = 10?
Answers
Answer:
X= 2, -8
Step-by-step explanation:
Hope this helps ;)
Answer:
-8, 2
Step-by-step explanation:
WHATS THE SLOPE
FAST CORRECT ANSWER = Thanks + Brainliest + 5 stars + 8 points
Answers
Answer:
The slope of g(x) is: [tex]m=0[/tex]
The slope of f(x) is: [tex]m-1[/tex]
Step-by-step explanation:
For this exercise you need to know that:
1. By definition the slope of any horizontal line is zero ([tex]m=0[/tex])
2. The slope of a line can be calculated using the following formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
In this case, you can observe in the graph of the function g(x) given in the exercise that it is an horizontal line. Then, based on the explanation given before, you can conclude that its slope is:
[tex]m=0[/tex]
To find the slope of the function f(x) shown in the table attached, you need to follow these steps:
- Choose two points from the table:
[tex](0,3)[/tex] and [tex](4,-1)[/tex]
- You can say that:
[tex]y_2=-1\\y_1=3\\\\x_2=4\\x_1=0[/tex]
- Substitute values into the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]:
[tex]m=\frac{-1-3}{4-0}[/tex]
- Finally, evaluating, you get:
[tex]m=\frac{-4}{4}\\\\m=-1[/tex]
Here’s another one thank u all for helping me. I really appreciate it!
And the last option is 95.6
Answers
Area of Square = 3² = 9 in²
Area of Rectangle = 3x10 = 30 in²
Area of Circle = 3.14(4.5)² = 63.585 in²
Add them all up and you get... 102.585.
answer: second choice
102.6
Why? Cause I took this already
What is the result when the number 17 is increased by 7.3%
Answers
Answer: 18.241
Step-by-step explanation:you have to take 17 times .073. Which is 1.241. Then add that to 17
Final answer:
To calculate a 7.3% increase on 17, multiply 17 by 0.073 to find the increase amount of 1.241 and add it to the original number, leading to a final result of 18.241.
Explanation:
To find the result when the number 17 is increased by 7.3%, we need to calculate the percentage increase and add it to the original number. The calculation is as follows:
Find 7.3% of 17 by multiplying 17 by 0.073 (7.3/100).The result of this multiplication gives us an increased amount.Add this increase to the original number to find the final result.Performing the calculation:
17 times 0.073 = 1.241Now, add this increase to the original number: 17 + 1.241 = 18.241Therefore, when the number 17 is increased by 7.3%, the result is 18.241.
Plz answer urgent...A total of 247 students were surveyed about what they liked best for lunch. The results can be shown in a two-way frequency table. Fill in the table below and answer the questions
Answers
Answer:
Nein, du schlauer Penner
Step-by-step explanation:
Find the value of x. Round your answer to the nearest tenth.
A.) 12.5
B.) 10
C.) 13
D.) 9.7
Answers
Step-by-step explanation:
In given figure,
Base (b) = 11 and Angle = 28°
To find, the value of x = ?
We know that,
[tex]\cos A=\dfrac{b}{h}[/tex]
Where, h is the hypotaneous = x
⇒ [tex]\cos 28=\dfrac{11}{x}[/tex]
⇒ [tex]x=\dfrac{11}{\cos 28}[/tex]
The value of [tex]\cos 28[/tex] = 0.8829
⇒ x = [tex]\dfrac{11}{0.8829}[/tex]
⇒ x = 12.458
⇒ x ≈ 12.5
∴ The value of x ≈ 12.5
Thus, the value of x "option A) 12.5" is required answer.
Jade buys a blouse and a skirt for 3/4 of their original price. Jade pays a total of $31.50 for the two items. What is the original price of the skirt?
Answers
Answer:
The original price of the skirt is $24
Step-by-step explanation:
The complete question is
Jade buys a blouse and a skirt for 3/4 of their original price. Jade pays a total of $31.50 for the two items. If the original price of the blouse is $18, what is the original price of the skirt?
Let
x ----> the original price of the blouse
y ---> the original price of the skirt
we know that
Three fourth of the sum of the original price of the blouse and the original price of the skirt, must be equal to the total paid for the two items
so
The linear equation that represent this situation is
[tex]\frac{3}{4}(x+y)=31.50[/tex]
we have
[tex]x=18[/tex] ----> given problem
substitute the value of x in the expression above and solve for y
[tex]\frac{3}{4}(18+y)=31.50\\[/tex]
Multiply by 4 both sides
[tex]3(18+y)=4(31.50)\\54+3y=126\\3y=126-54\\3y=72\\y=24[/tex]
therefore
The original price of the skirt is $24
Ava and Jiao each swam a two-lap swimming race. Ava took 31.49 seconds to finish her first lap and 30.03 seconds to finish her second lap. Jiao finished her two-lap swimming race 1.76 seconds faster than Ava. What was Jiao’s total swimming time, in seconds, after she finished her two-lap race?
Answers
Answer:
Jiao's total swimming time is 59.73 seconds
Step-by-step explanation:
i) Ava took 31.49 seconds to finish her first lap.
ii) Ava took 30.03 seconds to finish her second lap.
iii) Therefore Ava took 31.49 + 30.03 = 61.49 seconds to complete her two laps.
iv) Jiao finished her two-lap swimming race 1.76 seconds before Ava.
v) Jiao's total swimming time = 61.49 - 1.76 = 59.73 seconds