The correct classification for this triangle is an acute triangle.
How to solveThe angle measures given are 51, 89, and 40 degrees.
There are no angles that are either equal to or greater than 90 degrees among those mentioned. Consequently, the triangle does not contain any angles that are either right or obtuse.
To categorize a triangle according to its angles, the total of the angles within the triangle, which is invariably 180 degrees, is taken into account.
51 + 89 + 40 = 180
Given that the total of the angles is 180 degrees, we can deduce that this particular triangle is acute in nature. An acute-angled triangle is a type of triangle that has three angles which are each smaller than 90 degrees.
Therefore, the correct classification for this triangle is an acute triangle.
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What is an important requirement for an emergency fund?
Answer:
While some call having one to two months' wages in reserve ideal, most financial experts say that the recommended emergency fund amount should cover three to six months' worth of household expenses. That's a great idea, and a key part of any sound financial plan, but it also requires some effort to achieve.
church,
"From Martina's World"
Martina, a 3-year-old with flaming red hair and bright blue eyes, is admitted to the pediatric unit w
bronchitis. In addition to her medical condition, Martina has autistic disorder. Martina does not seem
nurse's presence in the room but is intensely occupied with a blue stuffed dog. The nurse is prepar
ister scheduled oral medications to the child. Martina's mother is present in the room.
What approach would help the nurse to establish a trusting relationship with Martina
To establish trust with Martina, the nurse should show respect, use non-verbal communication, incorporate play, involve the parent, and individualize the approach.
To establish a trusting relationship with Martina, the nurse can employ several approaches:
Respect and empathy: The nurse should approach Martina with genuine respect and empathy, recognizing her unique needs and individuality. This can be conveyed through a calm and patient demeanor.
Non-verbal communication: Since Martina may not be responsive to verbal cues, the nurse can utilize non-verbal communication to establish connection and trust. This can include maintaining eye contact, using gentle touch, and respecting Martina's personal space.
Play and familiar objects: Given Martina's engagement with the blue stuffed dog, the nurse can incorporate play into their interactions. Bringing familiar objects or toys that Martina finds comforting can help create a sense of familiarity and security.
Parental involvement: Involving Martina's mother in the care process can be beneficial. The nurse can communicate with the mother, seek her input, and involve her in the administration of medications. This helps build trust not only with Martina but also with her caregiver.
Individualized approach: Recognizing Martina's autistic disorder, the nurse should tailor their approach to her specific needs. Understanding her sensory sensitivities and preferences can help create a safe and comfortable environment.
By implementing these strategies, the nurse can foster trust and a positive therapeutic relationship with Martina, promoting her overall well-being and care.
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Complete Question:
What approach would help the nurse establish a trusting relationship with Martina, a 3-year-old with bronchitis and autistic disorder, who is intensely occupied with a blue stuffed dog and does not seem responsive to the nurse's presence in the room, while the mother is also present?
What the meaning of statement this?
The statement "Every set can be considered a class" means that every object in set theory, including sets, can be considered a class. This is because classes are simply collections of objects, and sets are a type of collection.
What does the statement implies?The statement "If S is a set, consider the formula x S and the class {x: x = S}" means that if S is a set, then we can consider the formula x S, which states that x is an element of S, and the class {x: x = S}, which is the class of all objects that are equal to S.
In other words, the statement is saying that every set can be considered a class, and that we can define a class for any set by considering the formula that defines the set and the class of all objects that satisfy that formula.
For example, the set {1, 2, 3} can be considered a class by considering the formula x ∈ {1, 2, 3}, which states that x is an element of the set {1, 2, 3}, and the class {x: x ∈ {1, 2, 3}} is the class of all objects that are elements of the set {1, 2, 3}. This class is equal to the set {1, 2, 3}.
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Under her cell phone plan, Micaela pays a flat cost of $47.50 per month and
$4 per gigabyte, or part of a gigabyte. (For example, if she used 2.3 gigabytes,
she would have to pay for 3 whole gigabytes.) She wants to keep her bill under
$55 per month. What is the maximum whole number of gigabytes of data she
can use while staying within her budget?
The maximum whole number of gigabytes is 1 gigabyte
How to determine the maximum whole gigabytesFrom the question, we have the following parameters that can be used in our computation:
Flat cost = $47.50
Rate = $4 per gigabyte
Using the above as a guide, we have the following:
f(x) = 47.50 + 4x
She wants to keep her bill under $55 per month
So, we have
47.50 + 4x < 55
Evaluate
4x < 7.5
Divide by 5
x < 1.875
So, we have
x = 1
Hence, the whole gigabyte is 1 gb
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The following angles are supplementary to each other.
m∠C = (x + 19)° and m∠D = (3x − 19)°
Determine x.
60
45
38
19
Answer:
45
Step-by-step explanation:it gives you the answer chiices if you plug each number into x and then do the equation you will get 180
Answer: 45
Step-by-step explanation:
Did the test.
Restrictions must be indicated for rational functions involving a denominator because__________
is not defined
Answer:
rational expressions
hope I helped! :)
Diana pays $33 for 12 gallons of gas. Manny pays $37.10 for 14 gallons of gas. How much less per gallon does Manny pay than
what is the area of a circle with the diameter of 22 in
Answer:380.1 square inches
Step-by-step explanation:Area of a circle in terms of diameter: Area = π· (d2) 2 = 3.14· (222) 2 = 3.14· (11) 2 = 380.1 square inches (*)
9. (a) (b) (c) (d) (e) Bako is twice as old as he was five years ago. His mother was then six times as old as he was. She is now 35 years old. How old is Bako? 10 How old was his mother when Bako was five? How old will Bako be when his mother is 50? How old was Bako's mother when he was born? What is the difference between Bako's age and his mother's?
Answer:
(a) Bako is 10 years old
(b) His mother was 30 years old when Bako was 5
(c) Bako will be 25 years old when his mother is 50
(d) Bako's mother was 25 years old when he was born
(e) The difference between Bako's age & his mother's is 25 years
Step-by-step explanation:
Let Bako's age five years ago be x years
Presently, Bako is 2x years old (according to the 1st statement)
Normal, Bako's present age should have been (x + 5) years; since he was x years old 5 years ago.
This simply means that Bako's present age is BOTH 2x years & (x + 5) years.
We have to equate them since they mean the same thing (Bako's present age)
x + 5 = 2x
2x - x = 5
Therefore x = 5 years
Remember that x signified Bako's age five years ago... This simply means that Bako's age five years ago was 5 years.
This simply means that Bako's age now is 10 years old.
His mother was then six times 5 years = 30 years old (from the 2nd statement).
If Bako was 5 years old five years ago and his mother was 30 years old... It simply means that Bako was born ten years ago when his mother was 25 years old.
This simply means that Bako's mother is older than him with 25 years.
Therefore, Bako will be 25 years old when his mother is 50 years old
-54\3 PLEASE SHOW WORK AND HURRY
Can u do 25 and how to do it
Answer:
f(- 1) = 10
Step-by-step explanation:
using the rule of exponents
\((\frac{a}{b}) ^{-1}\) = \((\frac{b}{a}) ^{1}\) = \(\frac{b}{a}\)
to find f(- 1) substitute x = - 1 into f(x)
f(- 1) = 5\((\frac{1}{2}) ^{-1}\) = 5 × \(\frac{2}{1}\) = 5 × 2 = 10
Ms. Keenan is a high school teacher who wants to know how much time students spend studying each day. She finds that the average student spends 3.00 hours a day studying (s - 0.75). Assuming that studying hours is normally distributed, what percentage of students study less than 2.50 hours a day?
© 25.14 percent
© 19.15 percent
© 10.93 percent
© 24.86 percent
The requried, percentage of students who study less than 2.50 hours a day is approximately 25.14 percent.
What is the Z -a score?A Z-score is stated as the fractional model of data point to the mean using standard deviations.
We need to convert 2.50 hours to a standard score (z-score) using the formula,
z = (x - μ) / σ
where x is the value we want to convert, μ is the mean, and σ is the standard deviation.
z = (2.50 - 3.00) / 0.75
z = -0.67
This means that 2.50 hours is 0.67 standard deviations below the mean.
We can use a standard normal distribution table or a calculator to find the percentage of the distribution that falls below this standard score. For example, using a standard normal distribution table, we can look up the area to the left of z = -0.67 and get:
P(z < -0.67) = 0.2514
So the correct answer is (a) 25.14 percent.
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arrange the following fractions in order from least to greatest. 5/8,11/18,7/12,5/9
Step-by-step explanation:
5/9
7/12
11/18
5/8
i hope i will help u
at a water park 893 out of 940 ticket sold were child ticket, what percentage of the ticket were child ticket?
thank you for the help
50 Points! Multiple choice algebra question. Photo attached. Thank you!
Answer:
B. 3188.5 cubic inches.
Step-by-step explanation:
The volume of a cone is calculated using the following formula:
Volume = (1/3) * π * r² * h
Where:
π is the mathematical constant pi, approximately equal to 3.14.r is the radius of the base of the cone.h is the height of the cone.In this problem, we are given that r = 17 inches and S.h = 20 inches.
First we need to find height h.
py using Pythagorous theorem,we get
c²=a²+b²
here c= slight height and a is radius
20²=17²+b²
20²-17²=b²
111=b²
b=√(111)
Plugging these values into the formula, we get:
Volume = ⅓*π* 17² *√(111) = 3188.5 cubic inches
Therefore, the volume of the cone is 3188.5 cubic inches.
The median of the values 3.4, 4.7, 1.9, 7.6, and 6.5
Answer:
4.7
Step-by-step explanation:
the median is the middle number in a set of numbers so first we need to put them in order
1.9 3.4 [4.7] 6.5 7.6
this one is easy since we have an odd number of digits
the answer is 4.7
If 10 people can paint a fence in 3 days, how long would it take 6 is this:
A) Direct proportion
B) Inverse proportion
Answer:
B.Inverse proportion
Evaluate the absolute of w if w = -8 -5
Answer:
13
Step-by-step explanation:
w = -8 -5 =-13=13
A shoe manufacturer claims that among the general adult population in the United States that the length of the left foot is longer than the length of the right foot. To compare the average length of the left foot with that of the right foot, we will take a random sample of adults and measure the length of the left foot and then the length of the right foot. Based on our sample, does the data indicate that the length of the left foot is greater than the length of the right foot? Is the hypothesis one-tailed or two-tailed?
We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot.
How to test the data indicate that the length of the left foot is greater than the length of the right foot?A statistical test is required to determine whether the length of the left foot is greater than the length of the right foot. The null hypothesis states that there is no difference in average length between the left and right feet. The alternative hypothesis is that the left foot's average length is greater than the right foot's average length.
This hypothesis is one-tailed, as we are only interested in whether the left foot is longer than the right foot. We are not considering the possibility that the right foot could be longer than the left foot.
A t-test can be used to determine whether the difference in average length between the left and right feet is statistically significant. We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot if the p-value of the t-test is less than the chosen significance level (e.g., 0.05).
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Help
Plz!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
angle G
sin inverse (21/29) = 46.4
GH
c^2 - b^2 = a^2
29^2 - 21^2 = a^2
a = √(29^2 - 21^2)
GH = 20
therefore ans is B) <G = 46.4º, <I = 43.6º, GH = 20
if you want to have $20,000 in your account in 3 years and earn 6% interest compounded monthly, how much money do you need to put in the account now?
Officer Jacobi drove 180 miles in his patrol car during part of May. The distance represents 40% of May. How many miles did he drive all of May? a) 710 miles b) 420 miles c) 720 miles d) 450 miles Need Help on How to work this problem out, what formula would I use?
Answer:
D: 450 miles
Step-by-step explanation:
So we know that Officer Jacobi drove 180 miles, which represents 40% of the total distance driven. In other words, 40% of the total distance traveled is 180. Thus (let D be the total distance traveled):
\(0.4D=180\)
This equation is basically saying that 40% (0.4) of the total distance driven is 180 miles. To solve for the total distance D, we can divide both sides by 0.4. Thus:
\(0.4D=180\\D=450\)
So the answer is D or 450 miles.
Note that there isn't a specific formula you would use. These types of problems require you to write out an equation yourself.
Order these integers from least to greatest.
Answer:
-18,-12,-7,0,+3,+7,+15
Step-by-step explanation:
Answer:
-18,-12,-7,0,+3,+7,+15
A laboratory technician needs to make a 28-liter batch of a 40% acid solution. How can the laboratory technician combine a batch of an acid solution that is pure acid with another that is 20% to get the desired concentration?
The total amount of acid in the final equation solution is 700% + 420% = 1120%, which is 40% of the total volume:
What is equation?In arithmetic equations, the identical sign (=) is used to denote the equivalence of two assertions. It is demonstrated that using mathematical methods, which have acted as manifestations of reality, it is feasible to compare different numerical factors. For fact, the equal sign splits the number 12 into two separate parts, even if the answer is y + 6 = 12. It is possible to determine how many letters are also present on either end of this character.
Here,
Let x be the number of liters of pure acid solution needed, and y be the number of liters of 20% acid solution needed to make 28 liters of a 40% acid solution.
x + y = 28 (total volume of the solution)
100x + 20y = 40(28) (total amount of acid in the solution)
Simplifying the second equation, we get:
100x + 20y = 1120
Dividing both sides by 20, we get:
5x + y = 56
Now we can solve the system of equations by substitution or elimination. Here we will use the substitution method.
Solving the first equation for y, we get:
y = 28 - x
Substituting this expression for y into the second equation, we get:
5x + (28 - x) = 56
Simplifying and solving for x, we get:
4x = 28
x = 7
So the technician needs 7 liters of pure acid solution and 21 liters of 20% acid solution to make 28 liters of a 40% acid solution.
To check this answer, we can calculate the amount of acid in each solution and verify that the total amount of acid in the final solution is indeed 40%.
7 liters of pure acid solution contain 7 × 100% = 700% acid.
21 liters of 20% acid solution contain 21 × 20% = 420% acid.
The total amount of acid in the final solution is 700% + 420% = 1120%, which is 40% of the total volume:
1120% ÷ 28 liters = 40%
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Mimi eats 6 times as many raisins as mary.mary eats 9 raisins. Write an equation with an unknown to find the number of raisins Mimi eats.
Answer:
54 :/
Step-by-step explanation:
Well if mary ate 9 raisins and Mimi ate 6 times as much you just have to do:
9 x 6 = 54
y = 9 x 6?
there are two identical fridges for desserts. one of the fridge has 5/8 of its room left and the other fridge is only 1/8 full. how much room is left?
Answer:
1.5
Step-by-step explanation:
5/8 + 7/8= 1.5 or 1 1/2
Answer:
Read below.
Step-by-step explanation:
First fridge: \(\frac{8}{8} -\frac{5}{8} =\frac{3}{8}\)
Second fridge: \(\frac{8}{8} -\frac{1}{8} =\frac{7}{8}\)
\(\frac{7}{8} +\frac{3}{8} = \frac{10}{8} = 1 \frac{2}{8}=1\frac{1}{4}\)
Combined \(1 \frac{1}{4}\) fridge space is left.
need help asap. pls somebody help.
Answer:
D
Step-by-step explanation:
why the panic ? you only need to compare the tiles with the actual terms in the equations and add them up.
x²
-x²
-x -x
x x x x (clearly that means 4x)
-1 -1 -1
1 1
so, we see it is D.
What is the volume of this cone?
Use a = 3.14 and round your answer to the nearest hundredth
13 mm
6 mm
how do i get the answer
Pi times radius squared times (height÷3)
if radius is 6 then 490.09
if radius is 13 then 1061.86
find the number of ordered triples (a,b,c) where a , b , and c are positive integers, a is a factor of b , a is a factor of c , and a b c
The number of ordered triples (a, b, c) where a, b, and c are positive integers and a is a factor of b, a is a factor of c, and abc=N, is 64.
To find the ordered triplets, Firstly Factorize N into its prime factors.For each prime factor. we can choose its exponent as the value of a, b, and c. The total number of ordered triples (a, b, c) is (number of exponents + 1)^3.
let N = 24. The prime factorization of 24 is 2^3 * 3^1.
The number of possible values of a is 4 (from 0 to 3), so the number of possible values of b and c is also 4.
The number of ordered triples is 4^3 = 64.
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5x-y=54 x=10 what is the answer
Answer:
Y = 4
Step-by-step explanation:
5x-y=54
50-y=54
circle y and subtract 50 from itself then subtract 50 from 54.
after subtracting you should have y=4