The value of x in the triangle δhij is 18.2.
Given that in the triangle δhij, the measure of angle h is (x-1)°, the measure of the angle i is (2x+5)°, and the measure of the angle j is (7x-6)°. We are required to find the value of x.
Since the sum of the measures of the angles in a triangle is always 180°, we have:
m∠h + m∠i + m∠j = 180°
Substituting the given values, we get:
(x-1)° + (2x+5)° + (7x-6)° = 180°
Simplifying the equation, we have:
10x - 2 = 180
10x = 182
x = 18.2
Therefore, we can conclude that the value of x is 18.2.
Learn more about angle at https://brainly.com/question/18800350
#SPJ11
I need help!!!!!!!!!!!
i) less than
ii) greater than
iii) less than
iv) greater than
Step-by-step explanation:
do you need the calculations too?
Find the value of y. Express your answer in simplest radical form. a y = 48√3 b y = 12 c y = 12√3 d y = 12√2
The value of y is 24.
Non of the given option is correct.
To find the value of y in the given triangle, we can apply the Pythagorean theorem.
The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In the given triangle, we have a right angle and one leg of length 12. The other leg has a length of 12√3. Let's assume y represents the length of the hypotenuse. Applying the Pythagorean theorem, we have:
(12)^2 + (12√3)^2 = y^2
144 + 432 = y^2
576 = y^2
Taking the square root of both sides, we get:
y = √576
y = 24
Non of the given option is correct.
For more questions on Pythagorean theorem
https://brainly.com/question/343682
#SPJ8
What is the slope of the line?
Answer:
-1/2 !
Step-by-step explanation:
This one, you can tell in negative because the line's direction goes down! Other than that, you can use RISE/RUN to figure out the slope, from any solid point on the line! Since you go up one and to the left two, the slope is -1/2!
I hope this helps, and I'm here if you need me! :)
Prove that the given transformation is a linear transformation, using the definition (or the Remark following Example 3.55) T is a linear transformation if and only if X2 Tc1V1 + c2V2) = c1 T(V1) c:TV2), where V1 = V2 calcP Operati Functio Symbol Relation Sets Vectors Then, entering your answers in terms of C1, C2, X1, X2. У1, and y2 + Trig Greek Help C2X2 + C2Y2 C1X1 C1Y1 X2 t Y2 x1 Y1 and thus T is linear.
To prove that the given transformation T is a linear transformation, we need to show that it satisfies the two conditions of linearity which are Additivity and homogeneity
1. Additivity: T(v1 + v2) = T(v1) + T(v2)
2. Homogeneity: T(c * v) = c * T(v)
where v1 and v2 are vectors, and c is a scalar constant.
Given T(c1 * v1 + c2 * v2), we want to show that it equals c1 * T(v1) + c2 * T(v2).
Step 1: Apply the transformation T to the sum of the vectors c1 * v1 + c2 * v2.
T(c1 * v1 + c2 * v2)
Step 2: Use the additivity property of linear transformations.
T(c1 * v1) + T(c2 * v2)
Step 3: Use the homogeneity property of linear transformations.
c1 * T(v1) + c2 * T(v2)
Since we have shown that T(c1 * v1 + c2 * v2) = c1 * T(v1) + c2 * T(v2), we can conclude that the given transformation T is indeed a linear transformation.
To know more about linear transformation click on below link :
https://brainly.com/question/30822858
#SPJ11
Write the expression as a radical expression. If the expression is equivalent to an integer, write that integer.
49⁷⁄₄
Answer:
i
Step-by-step explanation:
Answer:
the square root of 7 to the 7th power
Step-by-step explanation:
(7²)^7/4 = 7^7/2 which is the square root of 7 to the 7th power
what is 2+2? I have this in my state test, im only in 8th grade and need help
Answer:
Step-by-step explanation:
2+2=4
Answer: It took me seven hours on this! I hope this is put to good use
1+1=2
1+2=3
2+2=4
Hope u do well!
Please solve this (I know the answer is -1 I just need a way to solve it)
\(2Log(x+11)=(\frac{1}{2})^{x}\)
Answer:
the way to solve it
Step-by-step explanation:
so -1.
Choose all of the following angles that cannot
be an interior angle in a regular polygon.
40° 45° 108° 132° 179°
Answer:
40 45 because the minimum internal angle is 60
A message digest is defined as him) - (m*7;2 MOD 7793. If the message m = 23, calculate the hash
The hash of the given message is 135.
In computing, a message digest is a fixed-sized string of bytes that represents the original data's cryptographic hash. This hash is used to authenticate a message, guaranteeing the integrity of the data in the message.
Here, it is given the message m = 23
The formula to calculate hash is him) - (m*7;2 MOD 7793.
So, let's calculate the hash : him) - (m*7;2 MOD 7793(him) - (23*7;2 MOD 7793
⇒ (8*23) - (49 MOD 7793)
⇒ 184 - 49= 135.
So, the hash of the given message is 135.
To know more about message digest, please click here:
https://brainly.com/question/6384456
#SPJ11
orange squash diluted 1 part squash to 7 parts water. Making 2 litres of diluted squash. How much water is needed?
We need 1.75 litres of water to make 2 litres of diluted squash with a ratio of 1 part squash to 7 parts water
The number of waterTo make 2 litres of diluted squash with a ratio of 1 part squash to 7 parts water, we need to calculate how much water is needed.
We can do this by using the following formula:
Water = Diluted Squash - Squash First, we need to find out how much squash is in 2 litres of diluted squash.
Since the ratio is 1:7, we can divide 2 litres by the total number of parts (1 + 7 = 8) to find out how much squash is in 2 litres of diluted squash: Squash = 2 litres / 8 = 0.25 litres
Now we can use the formula to find out how much water is needed:
Water = 2 litres - 0.25 litres = 1.75 litres
Therefore, we need 1.75 litres of water to make 2 litres of diluted squash with a ratio of 1 part squash to 7 parts water.
Learn more about dilution at https://brainly.com/question/28548168
#SPJ11
help on math will give brain list middle school question not high school
Answer: 5, | 4 |, | -1 |, -2
Answer:
0, l-1l, l-2l, l4l, 5
Step-by-step explanation:
The absolute value bars l l, turn any negative number positive and any positive number remains positive.
A recent Health of Boston report suggests that 14% of female residents suffer from asthma as opposed to 6% of males (Boston Globe, August 16, 2010). Suppose 250 females and 200 males responded to the study.
Let p1 represent the population proportion of females with asthma and p2 the population proportion of males with asthma. Let females and males represent population 1 and population 2, respectively.
a. Develop the appropriate null and alternative hypotheses to test whether the proportion of females suffering from asthma is greater than the proportion of males.
H0: p1 − p2 ≤ 0; HA: p1 − p2 > 0
H0: p1 − p2 = 0; HA: p1 − p2 ≠ 0
H0: p1 − p2 ≥ 0; HA: p1 − p2 < 0
b. Calculate the value of the test statistic and its associated p-value. (Round intermediate calculations to 4 decimal places, "test statistic" value to 2 decimal places and "p-value" to 4 decimal places.)
Test statistic p-value c. At the 5% significance level, what is the conclusion? Do the data suggest that females suffer more from asthma than males?
No, since we reject H0
No, since we do not reject H0
Yes, since we reject H0
Yes, since we do not reject H0
The data suggest that females suffer more from asthma than males.
The null and alternative hypotheses for this problem are:
H0: p1 - p2 = 0; HA: p1 - p2 ≠ 0
The value of the test statistic is 3.7775 and its associated p-value is 0.0002. At the 5% significance level, the conclusion is that we reject the null hypothesis, and therefore we can say that the data suggest that females suffer more from asthma than males.
Learn more about Suffer
brainly.com/question/26395294
#SPJ11
what is the gratest common factor of 36 and 18?
Answer:
the greatest common factor is 18
Step-by-step explanation:
just trust it is hard to explain
Answer:
it is 18
Step-by-step explanation:
What additional information is obtained from an ordinal scale compared to a nominal scale?
An ordinal scale provides more information than a nominal scale since values linked with an ordinal variable will be in natural order, whereas values connected with the nominal variable won't.
Types of Variables:Ordinal variables as well as nominal variables are the two categories of variables listed here. This sort of variable cannot be submitted to the same forms of statistical tests as interval and ratio variables, hence it is crucial to be able to recognize them accurately. Both of these variables fall within the qualitative category. This contrasts with interval as well as rate variables, both of which are categorized as quantitative.
An illustration of an ordinal variable is a Likert scale with words for mood (such as joyful, neutral, or sad). An illustration of a nominal variable is the names of cities in the Canadian province of Alberta.
To know more about Variables visit:
https://brainly.com/question/17344045
#SPJ4
I will give brainliest
Answer:
The first graph represents y<2x-3
For this use some values for x e.g
X= 2 2(2)-3=y=1
So when x is 2 y is 1 so search for the graph that crosses the coordinate (2,1)
Which is graph A
Lesson 7: Exit Ticket
Footprints in the Sand
A scale model of an Egyptian pyramid has a square base of 4 feet on each side and a height of
3 feet. The model is packed for shipping in a rectangular box in which the pyramid fits tightly.
a. What is the minimum volume of the box?
b. What is the volume of the empty space that needs to be filled with packing peanuts to protect
the model?
The minimum volume of the box is 48 feet³.
The volume of the empty space that needs to be filled with packing peanuts to protect the model is 32 feet³.
What is Volume?Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume.
Given:
Pyramid base= 4 cm, height= 4 cm
So, Volume of pyramid
= a²h/3
= 16 x 3 /3
= 16 feet³
and, Volume of Cuboidal box
= lbh
= 4 x 4 x 3
= 16 x 3
= 48 feet³
So, Volume of empty space in box
= 48- 16
= 32 feet³
Learn more about Volume here:
https://brainly.com/question/27403755
#SPJ9
out of 150 coins, 90 are quarters. of the remaining coins, 40% are nickels and the rest are dimes and pennies. there are 5 dimes for every penny. how many pennies are there?
There are 6 pennies in a total of 150 coins.
Given that,
Ninety of the 150 coins are quarters. 40 percent of the remaining coins are nickels, with the remainder being dimes and pennies.
and also,
For every penny, there are five dime.
Total = 150 coins
Out of it, 90 are quarters so the remaining coins are 60
It is said that,
In that 60 coins 40% are nickels which means
40% of 60 is 24
So remaining coins are 36 (by subtracting 24 from 60)
It is said that there are 5 dimes for every penny which means
Using Algebra,
x + 5x = 36
6x= 36
x= 6
Therefore, there are 6 pennies in a total of 150 coins.
Learn more about Algebra :
brainly.com/question/24875240
#SPJ4
Which of these are irrational and which are rational ?
Answer:
-51/5 and √64 are rational, the rest are irrational
Step-by-step explanation:
Irrational numbers are numbers that never end; 9.68, line of the 8 means the number would be 9.6888888888... going on forever, meaning its irrational. 2.010010001... goes on forever, and the square root of 6 also goes on forever.
-51/5, however, does not go on forever. The square root of 64 is 8, so these two are rational.
Answer:
see attached
Step-by-step explanation:
Demonstrate your knowledge by giving clear, concise solutions to each problem. Be sure to include all relevant drawings and justify your answers (show all your work). You may show your solution in more than one way to investigate beyond the requirements of the problem. 1. Some important formulas are given below Area of a circle is A=πR^2 where r is the radius of the circle.
A)Write a formula for the area of the figure below. (5pts)
Answer:
A = 8a + \(\frac{1}{2}\)πa²
Step-by-step explanation:
The figure consists of a rectangle and a semi- circle
area of rectangle = 4 × 2a = 8a
area of semi- circle = \(\frac{1}{2}\)πr² ( r is the radius = a )
= \(\frac{1}{2}\)πa²
Then area (A ) of figure is
A = 8a + \(\frac{1}{2}\)πa² ← factor out \(\frac{1}{2}\) a from each term
= \(\frac{1}{2}\) a(16 + aπ)
Question 38.
Write the first six terms of the arithmetic sequence with the first term, a1 = 240, and common difference, d= 24.
The first six terms are a1 = ,a3= , a4= ,a5= , and a6= .
\(a(1) = 240 \\ a(2) = a(1) + d = 240 + 24 = 264 \\ a(3) = a(2) + d = 264 + 24 = 288 \\ a(4) = a(3) + d = 288 + 24 = 312 \\ a(5) = a(4) + d = 312 + 24 = 336 \\ a(6) = a(5) + d = 336 + 24 = 360\)
Suppose you take a standardized test and you are in the 8 th percentile. What does this percentile mean? a) you scored 8% lower than the class average b) 8% of the scores were higher than your score c) 8% of the scores were your score or lower d) you scored 8% higher than the class average
The correct answer is (c) 8% of the scores were your score or lower. The 8th percentile means that your score is higher than 8% of the scores in the population and lower than 92% of the scores.
In other words, if 100 people took the same test, you scored better than 8 of them and worse than 92 of them. Percentiles are a way to compare your performance to the rest of the population and understand where you stand in terms of performance. They are often used in standardized tests, college admissions, and job assessments.
Learn more about averages:
https://brainly.com/question/130657
#SPJ4
let a = r − {1} and define f : a → a by f (x) = x x − 1 for all x ∈ a. (a) prove that f is bijective. (b) determine f −1. (c) determine f ◦ f ◦ f
(b) The value of f^(-1) is g.
(c) The value of f ◦ f ◦ f = f ◦ (f ◦ f) is f((f ◦ f)(x)) = f((x * (x-1))*((x * (x-1)) - 1)).
According to the question
(a) To prove that f is bijective, we need to show that it is both injective (one-to-one) and surjective (onto).
Injectivity: Let x, y ∈ a such that f(x) = f(y). Then, x * (x-1) = y * (y-1). Multiplying both sides by x-1, we get x = y, meaning that f is injective.
Surjectivity: Let z ∈ a. Then, z = z * (z-1) / (z-1), which means that there exists an x ∈ a such that f(x) = z. This shows that f is surjective.
Therefore, f is bijective.
(b) To find the inverse of f, we need to find a function g: a → a such that f(g(x)) = x and g(f(x)) = x for all x ∈ a.
Consider the function g: a → a defined by g(x) = x / (x-1) for all x ∈ a.
Let x ∈ a. Then, f(g(x)) = f(x / (x-1)) = (x / (x-1)) * ((x / (x-1)) - 1) = x. Similarly, g(f(x)) = g(x * (x-1)) = x * (x-1) / (x * (x-1) - 1) = x. This shows that f and g are inverses.
Therefore, f^(-1) = g.
(c) To find f ◦ f ◦ f, we first evaluate f ◦ f and then evaluate f of the result.
Let x ∈ a. Then, (f ◦ f)(x) = f(f(x)) = f(x * (x-1)) = (x * (x-1)) * ((x * (x-1)) - 1). Hence, f ◦ f ◦ f = f ◦ (f ◦ f) = f((f ◦ f)(x)) = f((x * (x-1)) * ((x * (x-1)) - 1)).
To know more about function on brainly : brainly.com/question/12431044
#SPJ4
can some pls help me with this
what is the equation of a line that is perpendicular to y=4x-5 and passes through (-4,6)
Answer:
y=-1/4x+5
Step-by-step explanation:
perpendicular lines have slopes that multiply to -1.
Our given line:
y=4x-5
the slope (m) in it is 4. To find the slope of the perpendicular line:
4m=-1
divide by 4
m=-1/4
the slope of the new line is -1/4
here's our equation so far:
y=-1/4x+b
Since the line will pass through the point (-4,6) we can use it to solve for b (y intercept)
so substitute (-4,6) into the equation
6=-1/4(-4)+b
6=1+b
5=b
the y intercept is 5
so our equation is:
y=-1/4x+5
hope this helps! :D
The regular price of a baseball hat is $16.85. If Ernesto buys the baseball hat on sale for 20% off the regular price, how much change will
receive after paying with $20?
Answer:
$6.52
Step-by-step explanation:
The price of the hat would be $13.48 after the discount.
So the amount of change he would receive would be 20-13.48 which is $6.52
(d) #260 (e) #280 25. Find the area of a square whose perimeter is 60 centimeter. (a) 3600cm² (b) 360cm² (c) 240cm² (d) 225cm (e) 60cm² 2
Answer:
225 cm^2
Step-by-step explanation:
60/4=15 cm
15*15=225 cm^2
(A* m script file is required for this question) Plot the following surface using the surf function: z=sin(u+v) where 0≤u≤2π, and 0≤v≤2π, you need to add axis labels and a graph title.
A MATLAB script file can be used to plot the surface z = sin(u + v) using the `surf` function, with axis labels and a graph title added for clarity.
% Create a grid of u and v values
[u, v] = meshgrid(0:0.1:2*pi);
% Compute the z values based on the given function
z = sin(u + v);
% Plot the surface using surf function
surf(u, v, z);
% Add axis labels and a graph title
xlabel('u');
ylabel('v');
zlabel('z = sin(u + v)');
title('Surface Plot of z = sin(u + v)');
To know more about MATLAB refer here
https://brainly.com/question/30763780#
#SPJ11
Look at the steps used when solving 3(x - 2) = 3 for X.
3(x - 2) = 3
3x - 6 = 3
3x - 6 + 6 = 3 + 6
3x = 9
Write the original equation.
Use the Distributive Property.
Step 1
Step 2
3x 9
3
3 3
Step 3
x = 3
Step 4
Which step is the result of combining like terms?
Which step is justified by division property of equality?
Answer in at least TWO COMPLETE SENTENCES.
Answer:
3×-6=3
3×=3+6
3×=9
×=3
Step-by-step explanation:
multiply 3 by the variables in the bracket.
then you will get 3×-6=3.
take the -6 to the right hand side and it becomes+6
then you get 3×=3+6 therefore =3×=9
then divide both sides by 3.
3×÷3 and 9÷3
×=3
Problem
3x + 5 + 2x = 12 + 4x
Answer:
x=7
Step-by-step explanation:
because u add the like terms so
3x+2x
which would be
5× so now its
5x+5=12+4x
-4. -4
x+5=12
-5. -5
x=7
I need help with homework
Answer:
C
Step-by-step explanation:
Point C is on the x-axis.
Answer:
c
Step-by-step explanation:
the x axis is labeled
x axis is always horizontal (think the horizon)
y axis is always vertical