Answer: To determine whether a triangle is acute, right, or obtuse, we need to compare the lengths of its sides to the measure of its angles. The triangle is acute if all three angles measure less than 90 degrees, it is right if one angle measures exactly 90 degrees, and it is obtuse if one angle measures more than 90 degrees.
In the case of a triangle with sides 3, radical7, and 4, we can use the Pythagorean theorem to find the measure of its angles. The theorem states that in a right 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.
Since we know that one side of the triangle has length 4, and another side has length radical7, we can use the theorem to find the length of the third side, which is the hypotenuse. We can write this as an equation: 4^2 + radical7^2 = x^2, where x is the length of the hypotenuse. Solving for x, we get x = 5.
Since the length of the hypotenuse is 5, and one of the other sides has length 4, we can conclude that this triangle is a right triangle. Therefore, the triangle is a right triangle and not acute or obtuse.
There are 6 cards in a bag numbered 1 through 6. Suppose we draw two cards numbered A and B out of the bag(without replacement), what is the variance of A 2B
The Variance of (A +2B) is 12.6724.
What is Variance ?
Variability is measured by the variance. The average of the squared deviations from the mean is used to compute it. The degree of dispersion in your data collection is indicated by variance. The variance is greater in respect to the mean the more dispersed the data.
Here we have to select two card out of 6 card. now suppose we take 2 card (1,2 ) out of six card (1,2,3,4,5,6) . so here A=1 and B=2 but it is also possible that A=2 and B =1 because it represent same two card . Therefore here order of card matter.
Hence the posible out come of selecting 2 card are (without replacement)
-- (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) -- (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) -- (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) -- (4,5) (4,6)
(5,1) (5,2) (5,3) (5,4) -- (5,6)
(6,1) (6,2) (6,3) (6,4) (6,5) --
Therefore A+2B of this outcome are
A B A+2B
1 2 5
1 3 7
1 4 9
1 5 11
1 6 13
2 1 4
2 3 8
2 4 10
2 5 12
2 6 14
3 1 5
3 2 7
3 4 11
3 5 13
3 6 15
4 1 6
4 2 8
4 3 10
4 5 14
4 6 16
5 1 7
5 2 9
5 3 11
5 4 13
5 6 17
6 1 8
6 2 10
6 3 12
6 4 14
6 5 16
therefore there variance of A +2B can be computed as follows
x x2
5 25
7 49
9 81
11 121
13 169
4 16
8 64
10 100
12 144
14 196
5 25
7 49
11 121
13 169
15 225
6 36
8 64
10 100
14 196
16 256
7 49
9 81
11 121
13 169
17 289
8 64
10 100
12 144
14 196
16 256
[tex]\Sigma x=315[/tex] [tex]\sum x^2=3675[/tex]
Therefore variance
[tex]$$\begin{aligned}& =\frac{\sum x^2-\frac{\left(\sum x\right)^2}{n}}{n-1} \\& =\frac{3675-\frac{(315)^2}{30}}{30-1} \\& =\frac{3675-3307.5}{29} \\& =12.6724\end{aligned}$$[/tex]
The Variance of (A +2B) is 12.6724.
To learn more about Variance visit:https://brainly.com/question/14116780
#SPJ4
Is the ordered pair (0, 4) a solution of the inequality y≤x−3? Explain.
The ordered pair (0,4) does not satisfy the inequality thus, it will be not the solution to the given inequality.
What is inequality?A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.
As per the given inequality,
y ≤ x - 3
Put x = 0
y ≤ 0 - 3
y ≤ -3
Since 4 ≤ -3 is the wrong statement thus it will not satisfy the inequality.
Hence "The ordered pair (0,4) does not satisfy the inequality thus, it will be not the solution to the given inequality".
For more about inequality,
brainly.com/question/20383699
#SPJ1
The given ordered pair is not the solution for y ≤ x − 3.
What is linear inequality?Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.
Unlike a linear equation it can have a range of values inside an interval.
The inequality is given as y ≤ x - 3.
The x coordinate for the ordered pair (0,4) is 0.
And, the y coordinate is 4.
Substitute the value of x and y in the given inequality as follows,
y ≤ x - 3
=> 4 ≤ 0 - 3
=> 4 ≤ -3
Which is not true.
Hence, the ordered pair (0, 4) is not solution of the inequality y ≤x − 3.
To know more about linear inequality click on,
https://brainly.com/question/11897796
#SPJ1
Hello Can someone solve this with steps please
Answer:
7.5 x 10^5
Step-by-step explanation:
See the attached worksheet.
Scientific notation is a very convenient protocol for working with, and reporting, very large or small numbers. It allows one to condense all the non-significant zeros into an expression of 10^x. Examples:
1) 0.00000000000000000015 becomes 1.5x10^-19, and
2) 45000000000000000000000 becomes 4.5x10^22
Both numbers are much easier to compare, the notation approach saves space (publishers), takes less time to type, and makes the math much easier, as this problem will demonstrate. It also eliminates many transcription errors. E.g., try dividing these two numbers using long division.
The specific problem here is to divide two very different numbers. The attached worksheet explains the steps.
or How do you write 2.12 × 101 in standard form?
214.12 in standard form .
What does a math standard form mean?
It is possible to express a number in a way that adheres to certain standards by writing it in its standard form.
Any value between 1.0 and 10.0 that can be expressed as a decimal number and multiplied by a power of 10 is referred to as being in standard form.
What does standard form look like?
Ax+By=C is the typical form for linear equations involving two variables. A linear equation in standard form is, for instance, 2x+3y=5. In order to better understand phenomena and make useful predictions, scientists can compare
the orders of magnitude of various quantities using standard form.
Learn more about Standard form
brainly.com/question/17264364
#SPJ1
pls Help me , I need you !!!!
The value of a guitar has been found to be -80y + 800, where y is the number of years since it was released.
By how much is the value of the guitar decreasing per year ?
How much Was the initial value of the comic?
Answer:
13% and 81
Step-by-step explanation:
HELP ME THIS IS DUE TOMARROW
What linear expression would you need to subtract from (5x+3) to have a difference of −x ?
Answer: Expression that is to be deducted will be (6x + 3).
Learn a step-by-step at question: https://brainly.com/question/23113662
-40 + (-25) - ( -80)
Answer:
95
Step-by-step explanation:
What types of values of the test statistic for the kruskal wallace test support the alternative hypothesis?.
One of the non-parametric tests used it as a generalized version of such Mann Whitney U test is the Kruskal-Wallis test.
Explain the term Kruskal-Wallis Test?One of the non-parametric tests used as an expanded version of a Mann Whitney U test is the Kruskal-Wallis test.
It's employed to test the null hypothesis, which claims that "k" samples were taken from the same population or an identical population and that the median for each sample was the same or same. The null hypothesis can be expressed mathematically as S1 = S2=..... = Sk if Sj is the population median again for jth group and sample with in Kruskal-Wallis test. Naturally, the alternative theory would be that Si and Sj are not equal. This indicates that there are different pairs in at least 1 pair of groups and samples.As a result, it has been used to investigate the null hypothesis, which claims that 'k' samples were taken from populations that were either identical or similar and had medians that were similar or slightly similar.
To know more about the Kruskal-Wallis Test, here
https://brainly.com/question/29106748
#SPJ4
I WILL GIVE BRAINLIEST The Cheese Spread restaurant makes a grilled cheese sandwich with 3 oz of Swiss cheese and 5 oz of cheddar cheese. Which table represents the description of the proportional relationship? Cheddar Cheese (oz) 3 1 0 Swiss Cheese (oz) 5 4 3 Cheddar Cheese (oz) 5 4 3 Swiss Cheese (oz) 3 1 0 Swiss Cheese (oz) 3 6 9 Cheddar Cheese (oz) 5 10 15 Swiss Cheese (oz) 5 10 15 Cheddar Cheese (oz) 3 6 9
The table represents the description of the proportional relationship is Swiss Cheese (oz) 3 6 9 Cheddar Cheese (oz) 5 10 15
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Since the restaurant makes cheese sandwich with 3 oz of Swiss cheese and 5 oz of cheddar cheese.
Thus, the table that represents the proportional relationships will be the one that contains 3 oz of Swiss cheese with a corresponding value of 5 oz of cheddar cheese.
the constant of proportionality (k) must be the same (i.e. k = 5/3) for all the values.
Swiss Cheese (oz) 3 6 9
Cheddar Cheese (oz) 5 10 15
k = 5/3 = 10/6= 15/9 =5/3
Hence, the table represents the description of the proportional relationship is Swiss Cheese (oz) 3 6 9 Cheddar Cheese (oz) 5 10 15
To learn more on Ratios click:
https://brainly.com/question/13419413
#SPJ1
(−2/9)÷(−2 1/3÷1/9) HELP PLS!!
Answer:
0.01058201058
Step-by-step explanation:
Identify the parent function and designee the transformations.
A parent function in mathematics is the most basic function within a family of functions that nonetheless upholds the definition of the entire family.
What is the parent function equation?A family of functions' simplest version of an equation is a parent function. Parent functions come in a variety of forms, including: linear processes f(x)=x f(x)=x, where the function's degree is 1 and it symbolises a straight line.The simplest function that nonetheless complies with a certain type of function's specification is a parent function. For instance, y = x would be the parent function when considering the linear functions that make up a family of functions. The most basic linear function is this one.y=x in a linear function. Quadratic Functions with Parabolas: y=x Cubic functions for polynomial functions: y=x. Fundamental Value Functions.Find the attachment answer
Learn more about parent function refer to :
https://brainly.com/question/28308910
#SPJ1
"If you subtract 19 from my number and multiply the difference by -5, the result is -90." What is Elise's number?
Answer: Elise's number is 37
Step-by-step explanation:
-5(x-19)=-90
-5x+95=-90
-5x=-185
x=37
What does the slope of the line y = 2/3x + 5 represent? .) When x increases by 2, y increases by 3 b. When y increases by 2, x increases by 3 c. When x increases by 5, y increases by 1 d. When y increases by 5, x increases by 1
The slope of the line is 2/3. It represents: b. When y increases by 2, x increases by 3.
What is the Slope of a Line?The slope of a line can be described as the change in y over the change in x of the line, or the rise over its run.
The slope of a line is given as the value of "m", in the equation expressed in slope-intercept form as y = mx + b.
Given that a line has the equation, y = 2/3x + 5, in slope-intercept form, we can determine its slope (m), which is given as 2/3.
The value of m, which is 2/3, is the rise over the run of the line, which means that when the y value increases by 2, the x value increases by 3.
Therefore, the slope, m = 2/3 represents: b. When y increases by 2, x increases by 3.
Learn more about the slope of a line on:
https://brainly.com/question/16949303
#SPJ1
During a maths game, Joseph had a total of 2x-6 points. His friend Thomas
had 4 more points than Joseph. Eric told them that he had double their amount.
Find how many points did Eric have in terms of x?
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The number of points Eric have is 8x - 16.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Joseph points = 2x - 6
Thomas points = 2x - 6 + 4 = 2x - 2
Eric points = 2 ( 2x - 6 + 2x - 2 )
Now,
The points Eric have is.
= 2 (4x - 8)
= 8x - 16
Thus,
The number of points Eric have is 8x - 16.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ1
if n is a positive integer, how many integers from 0 through 2n must you pick in order to be sure of getting at least one that is odd? incorrect: your answer is incorrect. how many integers must be picked in order to be sure of getting at least one that is even?
Therefore , the we need to pick n + 2 numbers to be sure of random selection is an odd number.
What is random selection?In statistic, a simple random sample is a subset of people chosen at random from a larger group, all of whom were chosen with the same probability. This procedure involves choosing a sample at random.
Here,
You must choose n + 2 numbers at random in order to guarantee that you will get at least one odd number.
Since n is a positive integer, the following values of n are possible:
{1, 2, 3, 4, ...}
Let's assume n = 1.
Now, in order to guarantee that you choose at least one odd integer from 0 to 2n = 2*1 = 2, how many must you choose (at random)?
There are three numbers from 0 to 2:
0, 1, 2
If you choose these at random, selecting all three digits will guarantee that you receive an odd number.
From 0 to 2*n, there are the following options if n = 2.
0, 1, 2, 3, 4
Five choices.
If you wish to choose at least one odd number for certainty after picking 3 even numbers, you must choose 4 numbers.
From 0 through 2*n, if n = 3, we get:
0, 1, 2, 3, 4, 5, 6
Since 4 of these are even, you must choose 5 of them to guarantee an odd number.
The amount of even numbers is always n + 1, therefore given a random integer n, we will have n + 1 even numbers from 0 to 2n. Therefore, if we want to be certain that we are selecting an odd number at random, we must choose n + 2 numbers.
Therefore , the we need to pick n + 2 numbers to be sure of randomly selecting an odd number.
To know more about random selection , visit
https://brainly.com/question/27975182
#SPJ4
Convert 10 meters 1 min to centimeters mim
The 10 meters /1 min = 1000 centimeters/min.
What is unit conversion meaning?
The same attribute is expressed using a unit conversion, but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometers, feet, or any other measurement unit instead of miles.
We have,
10 meters per 1 min
We know that,
Meters to a centimeters conversion table
Meters (m) Centimeters (cm)
0.1 m 10 cm
1 m 100 cm
2 m 200 cm
3 m 300 cm
so,
10 m 1000 cm
1000 centimeters per min.
Hence, the 10 meters /1 min = 1000 centimeters/min.
To learn more about the unit conversion visit,
https://brainly.com/question/19420601
#SPJ1
Solve for x (round to the nearest degree)
The value of angle x in the right triangle is 35 degrees.
How to find the angle of a right triangle?A right triangle is a triangle that has one of it's angles as 90 degrees. A right triangle sides are named according to the position of the angles.
The sides name are as follows:
opposite sideadjacent sidehypotenuse sideTherefore, let's find the angle x using trigonometric ratios.
hence,
sin x = opposite / hypotenuse
opposite side = 4
hypotenuse side = 7
sin x = 4 / 7
x = sin⁻¹ 0.57142857142
x = 34.8499044793
x = 35 degrees
learn more on right triangle here: https://brainly.com/question/15640939
#SPJ1
Find the length of the segment indicated. Round your answer to the nearest tenth if necessary.
Answer:
B) 10
Step-by-step explanation:
The triangles are congruent by HL. Thus, by CPCTC, [tex]x=10[/tex].
2- Don Benito had 400
Sheep and will sell 3/4 of that amount, how many sheep will she sell?
To find the number of sheep that he will sell, three-fourths of the total number of sheep he had must be calculated. For this, the fraction must be multiplied by the whole number:
[tex]\begin{gathered} \sf \frac{3}{4} \times 400 = \\ \\ \sf \frac{3}{4} \times \frac{400}{1} = \\ \\ \sf \frac{3 \times 400}{4 \times 1} = \\ \\ \sf \boxed{ \sf \frac{ \red{1200}}{ \red4}} = \blue{300}\end{gathered}[/tex]
Therefore, he will sell three hundred sheep.
Answer: She will sell 300 sheep
Step-by-step explanation:
1/4 of 400 sheep is 100 sheep, to find this by, taking 400 divided by 100
So 3/4 will be 300 sheep, to find this by taking 100 timed 3
If you can, please give me a Brainliest, I need 1 more to become an Ace, thank you!
Find the product
(2n + 7)(3n - 4)
Answer:
6n²+13n-28
Step-by-step explanation:
6n²-8n+21n-28
6n²+13n-28
Hope it helps!
Find the equation of the line specified. The slope is 7, and it passes through ( 8, 6). A. Y = 7x - 50 c. Y = 7x + 6 b. Y = 14x - 50 d. Y = 7x + 62 please select the best answer from the choices provided a b c d.
The equation of the line is y = 7x - 36
Equation of the line,
For the given slope and the point the equation of the line is written as,
(y - y1) = m (x - x1)
Given,
The slope is 7, and it passes through ( 8, 6).
Here we need to find the equation of the line.
While we looking into the give equation, we have identified the following,
slope = 7
point = (8,6)
When we apply the values on the formula of equation of the line, then we get,
=> (y - 6) = 7 (x - 6)
When we simplify this one then we get,
=> y - 6 = 7x - 42
Then it can be rewritten as,
=> y = 7x - 36
To know more about Equation of the line here.
https://brainly.com/question/21511618
#SPJ4
how many two digit numbers can you write if you are not dont use 1 and 2
The number of permutations of two digits that we can write without 1 and 2 is 64 digits.
How to find how many two digit number s can be formed without using 1 and 2?To find how many two digit numbers can be formed if we don't use 1 and 2, we find the number of permutations.
What are permutations?Permutations are the number of ways in which n objects can be arranged in x ways. It is given by ⁿPₓ = n!/x!
Now, since we require a two digit number without 1 and 2 in any of the digits, we have 10 digits - 2 digits = 8 digits.
So, we have 8 digits to arrange in both the first digit position and second digit position.
The number of permutations for the first digit is ⁸P₁ = 8.
The number of permutations for the second digit is ⁸P₁ = 8.
So, the total number of permutations for the two digit number is N = ⁸P₁ × ⁸P₁ = 8 × 8 = 64 ways
So, the number of digits that we can write without 1 and 2 is 64 digits.
Learn more about permutations of two digits numbers here:
https://brainly.com/question/15322692
#SPJ1
4) Victoria bought 50 beads. She paid $6 for
the beads. How much did each bead cost?
Define a variable and write an equation.
Solve the equation.
Answer: $0.12
Step-by-step explanation:
50x = 6
Use x as your variable
Simplify: √64r8
O 87r²
O 87r4
O 32r²
O 32r4
[tex]8r^{4}[/tex]
Step-by-step explanation:√(64r^8) = √((8r^4)^2) = 8r^4
_____
You can make use of either or both of these rules of exponents:
(a^b)^c = a^(b·c) . . . . . used above
[tex]\sqrt[n]{a}[/tex] = a[tex]\fra {1}{n}[/tex]
Using the second rule, you can write the expression as ...
[tex]\sqrt{64r^8}[/tex] = [tex]\sqrt{64}[/tex] · [tex]r^8^*1/2[/tex] = [tex]8r^4[/tex]
I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!
How do I solve this. Please explain your method.
Answer:
x > 90 > y
Step-by-step explanation:
You want to know the relationship of the central angles in a rectangle where the diagonals cross.
Angle relationsAssuming we can trust the figure (not always a good idea), we notice that x° is an obtuse angle and y° is an acute angle. (The angle opposite the longer side in this geometry will always be obtuse.)
This means ...
x° > 90°
90° > y°
The two angles form a linear pair, so their sum is 180°.
The correct description is ...
x > 90 > y
__
Additional comment
If the diagonals crossed at right angles, the rectangle would be a square.
Select the correct answer.
What is the right-hand limit of f (x) = x/x-5 as x approaches 5?
The right-hand limit, also known as the right sided limit, is the value of a function when its input approaches a value with a small increment.The answer is + ∞
As x gets closer to 5, what is the right-hand limit of f (x) = x/x-5?The upper bound of what f(x) can be as x moves toward a from the right, denoted by lim xa+f(x)=L.
By choosing x values that are sufficiently close to a where x>a and xa, we can bring the values of f(x) as close to the limit L as we wish.
The expression for the right hand limit of f(x) is:
f = x+c / x+c-5
can be simplified with some algebraic handling:
f = 1/ x+c - 5/x+c
f = 1/1-5/ x +c
Let be , x =5 as is approaching zero, f is positive and becomes bigger, diverging to . + ∞
To learn more about The expression refer
https://brainly.com/question/16616993
#SPJ1
To hike a total of 11/6 miles, she would have to hike for____ days. To hike a total of 1/3 of a mile, she would have to hike for____ days.
To hike a total of 11/6 miles, she would have to hike for 11 days. To hike a total of 1/3 of a mile, she would have to hike for 2 days.
How to calculate days ?She hikes 1/6 a day, to get 11/6 , she would have to hike 11 days
to hike 1/3 of a mile
1/3 / 1/6 = 1/3 * 6/1 = 6/3 = 2
so she would have to hike 2 days
To hike a total of 11/6 miles of distance in 11 days, the person would have to hike an average of 11/6 / 11 = 11/66 miles per day.
To hike a total of 1/3 of a mile in 2 days, the person would have to hike an average of 1/3 / 2 = 1/6 miles per day.
Thus, to hike a total of 11/6 miles, the person would have to hike for 11 days, and to hike a total of 1/3 of a mile, the person would have to hike for 2 days.
To learn more about calculating days refer :
https://brainly.com/question/4592637
#SPJ1
The perimeter of a rectangle is 168 feet. Find the length and width if the length is an integer and the width is 4 times the next consecutive integer.
The length and width of the rectangle are "2.62467ft and 81.38cm "
What is a rectangle?A rectangle is a quadrilateral with four right angles in the Euclidean plane. It may alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equally long sides.
According to the given information:
Using the formula
P=2(l+w)
Solving for l
[tex]l=\frac{P}{2}-w=\frac{5.51}{2}-0.13 \approx 2.62467 \mathrm{ft}[/tex]
Solving for w
[tex]w=\frac{P}{2}-l=\frac{168}{2}-2.62=81.38 \mathrm{~cm}[/tex]
So, the length and width of the rectangle are "2.62467ft and 81.38cm "
To learn more about rectangle visit:https://brainly.com/question/15019502
#SPJ1
Solve using substitution.
x + 7y = 18
2x + 9y = 16
Answer:
x= -10
y= 4
Step-by-step explanation:
it will be easiest to isolate x in the first equation
x+7y=18
-7y. -7y
x=18-7y
now that we know x we will it into second equation
2(18-7y)+9y=16
36-14y+9y=16
36-5y=16
-36. -36
-5y=-20
/-5 /-5
y=4
now fill in y to find x
x+7(4)=18
x+28=18
-28 -28
x= -10
hopes this helps please mark brainliest
There are 35 questions total!! Please answer with an explanation and whoever answers correctly will get BRAINLIEST!!
Answer:
I think the answer will be weak positive