Answers
Answer:
20 units
Step-by-step explanation:
To find the hypotenuse length of one of the sides of this rhombus we have to use the pythagoram theorem.
if you make the point (1,0) the origin, we can see that it forms a triangle, with a base of 3, and a height of 4, next to the BE line.
a^2+b^2=c^2
9+16=c^2
25=c^2
c=5
if each diagnol length is 5 units long, the perimeter is
20 units.
Answer:
20 units.
Step-by-step explanation:
Formula for the perimeter of a rhombus = 4a.
Meaning all sides multiplied by 4
The point (1,0) is made A.
From D to F is 8 units, and from E to G is 6 units. Half of 6 is 3, and half of 8 is 4.
Imagine a right-angled triangle on one side of the rhombus(eg. ∆GAD), meaning that you'll have to find the hypotenuse.
*Use Pythagoras Theorem*
x² = 3² + 4²
x² = 9 + 16
x = √25
x = 5
The perimeter of the rhombus if one side is 5 units:
5 units × 4 sides = 20 units.
Related Questions
(x+3)(x-5)=(x+3)(x−5)=
Answers
Answer:
(x+3)(x-5)=(x+3)(x-5)
x^2-2 = x^2-2
Step-by-step explanation:
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Let's solve your equation step-by-step.
[tex]( x + 3) ( x - 5) = ( x + 3 ) ( x - 5 ) =[/tex]
Step 1: Simplify both sides of the equation.
[tex]x^2 - 2x - 15 = x^2 - 2x - 15 - x^2\\-2x - 15 = -2x - 15[/tex]
Step 3: Add 2x to both sides.
[tex]-2x - 15 = -2x - 15\\-15 = -15[/tex]
Step 4: Add 15 to both sides.
[tex]-15 + 15 = -15 + 15 \\0 = 0[/tex]
Answer : All real numbers are solutions.
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If this helped you, could you maybe give brainliest..?
Also Have a great day/night!
❀*May*❀
El reto consiste en convertir la igualdad en verdadera, haciendo 1 movimiento y luego, otra opción, haciendo dos movimientos. (no está permitido retirar fósforos)
Answers
12
Step-by-step explanation:
9+3 =12
pls make me brainiest
Step-by-step explanation:
Un movimiento:1 opción:
Del primer 9:
retirar el fósforo de la parte superior de tal manera que este nueve se convierte en 5 y colocarlo en la parte inferior del segundo nueve de tal manera que se convierte en 8:
5 + 3 = 8
2 opción:
en el primer nueve trasladar el fósforo vertical de la parte superior derecha a la parte inferior izquierda de tal manera que este se convierte en 6:
6 + 3 = 9
Dos movimientos:Del primer nueve retirar el fósforo vertical superior izquierdo de tal manera que este se convierte en 3 y ese fósforo colocarlo de forma vertical en la parte inferior izquierda del 3 y recorrer de este 3 el fósforo vertical superior derecho hacia la izquierda de tal manera que se convierte en 6:
3 + 6 = 9
Which statement is true regarding the traits of scatterplots?
A) The strength of a correlation is independent of whether the correlation of a scatterplot is positive or negative. A scatterplot with positive correlation can have either weak correlation or strong correlation.
B) The slope of a line is independent of whether the correlation of a scatterplot has positive or negative correlation. A scatterplot with a negative slope can have either positive correlation or negative correlation.
C) The nonlinear association of a scatterplot depends on whether it has a weak or strong correlation. A scatterplot with nonlinear association will have a strong correlation.
D) The nonlinear association of a scatterplot depends on whether it has a positive or negative correlation. A scatterplot with nonlinear correlation will have a negative correlation.
Answers
Answer:
The strength of a correlation is independent of whether the correlation of a scatterplot is positive or negative. A scatterplot with positive correlation can have either a weak correlation or strong correlation.
Step-by-step explanation:
Answer:
The answer to your question would be A.) The strength of a correlation is independent of whether the correlation of a scatterplot is positive or negative. A scatterplot with positive correlation can have either weak correlation or strong correlation.
Step-by-step explanation:
I got it right on edge 2020
A tap takes 3 hours to fill a tank. A discharge tap takes 6 hours to empty the same tank. How long will it take to fill the tank with both taps open?
Answers
Answer:
2 hours
Step-by-step explanation:
first tap= 3hours
therefore work done is = 1/3
second tap= 6hours
therefore work done = 1/6
so, 1/3+ 1/6
=2/6 + 1/6
=3/6
=1/2
=2/1 hours
=2 hours
Four different animals live in the forest. They sleep during the daytime and hunt at night. They have similar physical characteristics but their skin colors are different as shown in the following table. Animal Skin Color A White B Brown with white spots C Dark brown D Black and white stripes Which animal is least likely to be captured by predators? Animal A Animal B Animal C Animal D
Answers
Answer:
I would gues c because brown is the hardest to see in the dark
Answer:
C dark brown
Step-by-step explanation:
The number of pages per book on a bookshelf is normally distributed with mean 248 pages and standard deviation 21 pages. Using the empirical rule, what is the probability that a randomly selected book has less than 206 pages?
Answers
Answer:
The probability is 0.0228
Step-by-step explanation:
We proceed by calculating the z-score value
Mathematically;
z-score = (x - mean)/SD
where x = 206, mean = 248 and SD = 21
Substituting these values, we have;
z-score = (206-248)/21 = -42/21 = -2
So the probability we want to calculate is;
P(z < -2)
We can use the standard normal distribution table for this;
P(z < -2) = 0.0228
Answer:
i need this as a percentage
Step-by-step explanation:
Jerry wants to gravel an area represented by a square with side lengths of 3/4ft. What is the area he needs to fill.
Answers
Answer:
0.5625 ft^2
Step-by-step explanation:
area of square = side * side
A = s^2
A = (0.75 ft)^2 = (0.75 ft)(0.75 ft) = 0.5625 ft^2
Question. 1 The product of a monomial and a binomial is a (a) monomial (b) binomial (c) trinomial (d) None of these
Answers
Answer:
The answer to this question is (D)
A Gallup poll asked 1200 randomly chosen adults what they think the ideal number of children for a family is. Of this sample, 53% stated that they thought 2 children is the ideal number.
Answers
A Gallup poll asked 1200 randomly chosen adults what they think the ideal number of children for a family is. Of this sample, 53% stated that they thought 2 children is the ideal number. Construct and interpret a 95% confidence interval for the proportion of all US adults that think 2 children is the ideal number.
Answer:
at 95% Confidence interval level: 0.501776 < p < 0.558224
Step-by-step explanation:
sample size n = 1200
population proportion [tex]\hat p[/tex]= 53% - 0.53
At 95% confidence interval level;
level of significance ∝ = 1 - 0.95
level of significance ∝ = 0.05
The critical value for [tex]z_{\alpha/2} = z _{0.05/2}[/tex]
the critical value [tex]z _{0.025}= 1.96[/tex] from the standard normal z tables
The standard error S.E for the population proportion can be computed as follows:
[tex]S,E = \sqrt{\dfrac{\hat p \times (1-\hat p)}{n}}[/tex]
[tex]S,E = \sqrt{\dfrac{0.53 \times (1-0.53)}{1200}}[/tex]
[tex]S,E = \sqrt{\dfrac{0.53 \times (0.47)}{1200}}[/tex]
[tex]S,E = \sqrt{\dfrac{0.2491}{1200}}[/tex]
[tex]S,E = 0.0144[/tex]
Margin of Error E= [tex]z_{\alpha/2} \times S.E[/tex]
Margin of Error E= 1.96 × 0.0144
Margin of Error E= 0.028224
Given that the confidence interval for the proportion is 95%
The lower and the upper limit for this study is as follows:
Lower limit: [tex]\hat p - E[/tex]
Lower limit: 0.53 - 0.028224
Lower limit: 0.501776
Upper limit: [tex]\hat p + E[/tex]
Upper limit: 0.53 + 0.028224
Upper limit: 0.558224
Therefore at 95% Confidence interval level: 0.501776 < p < 0.558224
Sixty-five percent of employees make judgements about their co-workers based on the cleanliness of their desk. You randomly select 8 employees and ask them if they judge co-workers based on this criterion. The random variable is the number of employees who judge their co-workers by cleanliness. Which outcomes of this binomial distribution would be considered unusual?
Answers
Answer:
The outcomes of this binomial distribution that would be considered unusual is {0, 1, 2, 8}.
Step-by-step explanation:
The outcomes provided are:
(A) 0, 1, 2, 6, 7, 8
(B) 0, 1, 2, 7, 8
(C) 0, 1, 7, 8
(D) 0, 1, 2, 8
Solution:
The random variable X can be defined as the number of employees who judge their co-workers by cleanliness.
The probability of X is:
P (X) = 0.65
The number of employees selected is:
n = 8
An unusual outcome, in probability theory, has a probability of occurrence less than or equal to 0.05.
Since outcomes 0 and 1 are contained in all the options, we will check for X = 2.
Compute the value of P (X = 2) as follows:
[tex]P(X=2)={8\choose 2}(0.65)^{2}(0.35)^{8-2}[/tex]
[tex]=28\times 0.4225\times 0.001838265625\\=0.02175\\\approx 0.022<0.05[/tex]
So X = 2 is unusual.
Similarly check for X = 6, 7 and 8.
P (X = 6) = 0.2587 > 0.05
X = 6 not unusual
P (X = 7) = 0.1373 > 0.05
X = 7 not unusual
P (X = 8) = 0.0319
X = 8 is unusual.
Thus, the outcomes of this binomial distribution that would be considered unusual is {0, 1, 2, 8}.
The function f(x)=x^2 + ax + b has a minimum at (3,9) what are the values of a and b
Answers
Answer:
Step-by-step explanation:
The function is f(x)=x^2 + ax + b
Derivate the function:
● f'(x)= 2x + a
Solve the equation f'(x)=0 to find a
The minimum is at (3,9)
Replace x with 9
● 0 = 2×3 + a
● 0 = 6 + a
● a = -6
So the value of a is -6
Hence the equation is x^2 -6x+b
We have a khown point at (3,9)
● 9 = 3^2 -6×3 +b
● 9 = 9 -18 + b
● 9 = -9 +b
● b = 18
So the equation is x^2-6x+18
Verify by graphing the function.
The vetex is (3,9) and it is a minimum so the equation is right
Is f(x) =(x+5)2 a function, an odd function, both or neither
Answers
Explanation:
f(x) = (x+5)^2 = x^2+10x+25 = x^2+10x^1+25x^0
The exponents for that last expression are 2, 1, 0
The mix of even and odd exponents in the standard form means f(x) is neither even nor odd. We would need to have all exponents even to have f(x) even, or have all exponents odd to have f(x) be odd.
Ella's pet snake is 42 inches long, and Roya's pet snake is 8 feet long. How many inches longer is Roya's snake?
Answers
96-42=54 so royas snake is 54 in longer
Answer:
54 inches
Step-by-step explanation:
First, let's convert the measurements into a common measurement.
Since inch is the smallest measurement here, let's use that.
Ella's pet snake is 42 inches long.
Roya's pet snake is 8 feet long. There are 12 inches in one foot. Therefore, 8 feet would mean 12 times 8 or 96 inches.
Therefore, Roya's snake is 96 inches long.
To find out how many inches longer is Roya's snake, subtract:
96 - 42 = 54.
Therefore, Roya's snake is 54 inches longer than Ella's.
help pleaseeeeee!!!!!!!!!! How many unit cubes would it take to completely fill the prism with no gaps between unit cubes?
Answers
Answer:
72
Step-by-step explanation:
As you can see the top - view is a rectangle of 2 by 9 dimensions. Respectively the right - side view is a rectangle of 2 by 4 dimensions. The common dimension among both rectangles would be 2, making this rectangular prism have dimensions 2 by 4 by 9.
Therefore the rectangular prism will have a volume of 2 [tex]*[/tex] 4 [tex]*[/tex] 9
2 [tex]*[/tex] 4 [tex]*[/tex] 9 = 8( 9 ) = 72 cubic units
Solution : 72 unit cubes
Factor completely 3x^2 + 5x + 1. (3x + 1)(x + 1) (3x + 5)(x + 1) (3x − 5)(x + 1) Prime
Answers
Answer:
prime
Step-by-step explanation:
3x^2 + 5x + 1
3x^2 factors in to 3x and x
1 factors into 1 and 1
( 3x + 1) ( x+1)
We need to verify the middle is 5
3x+1x = 4x
so this is not true
We cannot factor this so it is prime
Answer:
[tex]\large \boxed{\sf Prime}[/tex]
Step-by-step explanation:
[tex]3x^2 + 5x + 1[/tex]
We need to find two numbers that add to 5 and multiply to get 1.
There are no real numbers.
The expression cannot be factored. The expression is prime.
PLEASE help me solve this question! No nonsense answers, and attach full solutions please!
Answers
Answer:
6.4 seconds
Step-by-step explanation:
Using the second equation of motion.
d= 200m/s.
a= 9.8ms^-1 . Acceleration due to gravity.
t= time.
substituting,
t=
[tex] \sqrt{2 \times \frac{200}{9.8} } [/tex]
t= 6.4 seconds
There are two types of boxes containing mangoes. Each box of the larger type contains 4 more mangoes than the number of mangoes contained in 8 boxes of the smaller types. Each box has 100 mangoes. Find the number of mangoes contained in the smaller box.
Answers
Answer:
12 mangoes
Step-by-step explanation:
Two types of boxes contains mangoes
The larger box contain 4 mangoes than the number of mangoes that is present in 8 smaller box
Each of the box have a total of 100 mangoes
Let y represent the number of mangoes that is present in the smaller box
Therefore, the number of mangoes in the smaller box can be calculated as follows
8y + 4= 100
Collect the like terms
8y= 100-4
8y= 96
Divide both sides by the coefficient of y which is 8
8y/8= 96/8
y= 12
Hence the number of mangoes that is present in the smaller box is 12
20 POINTS!!! Please Help! No nonsense answers please!
Answers
Answer:
[tex](2-\sqrt{7}, 2+\sqrt{7})[/tex]
Step-by-step explanation:
The graph below represents which of the following functions?
Answers
Answer:
Option (B).
Step-by-step explanation:
From the figure attached,
There are two pieces of the function defined by the graph.
1). Curve with the domain (-∞, 2)
2). Straight line with domain (2, ∞)
1). Function that defines the curve for x < 2,
f(x) = |4 - x²|
2). Linear function which defines the graph for x ≥ 2 [Points (2, 2), (4, 4), (6, 6) lying on the graph]
f(x) = x
Therefore, Option (B) will be the answer.
classify what type of number is 8/2
Answers
Answer:
unsimplified improper fraction
Step-by-step explanation:
8/2 could be simplified into 4 and its an improper fraction bc proper fraction form is 4/1 or just 4
Solve the equation below for y. 6x – 3y = 36 A. y = 2x − 12 B. y = 12 − 2x C. y = 12x + 6 D. y = 6 – 12x
Answers
Answer:
y=-12+2x
Step-by-step explanation:
The equation was transformed step-by-step to isolate y on one side, and we obtained y = 2x - 12 as the final solution.
Hence, the correct answer is A. y = 2x - 12.
Given is an equation 6x - 3y = 36, we need to solve for y.
To solve the equation 6x - 3y = 36 for y, we need to isolate y on one side of the equation.
Here's the step-by-step process:
Start with the given equation: 6x - 3y = 36
Get rid of the constant term (36) on the right side by subtracting 36 from both sides:
6x - 3y - 36 = 36 - 36
6x - 3y = 0
Divide both sides of the equation by -3 to isolate y:
(6x - 3y) / -3 = 0 / -3
(6x)/(-3) - (3y)/(-3) = 0
-2x + y = 0
Add 2x to both sides to isolate y:
-2x + y + 2x = 0 + 2x
y = 2x
So, the equation was transformed step-by-step to isolate y on one side, and we obtained y = 2x - 12 as the final solution.
Hence, the correct answer is A. y = 2x - 12.
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find the last common denominator for these two rational expressions
Answers
Answer:
Least common denominator = (x - 1)²(x - 2)
Step-by-step explanation:
Least common denominator of two rational expressions = LCM of the denominator of the expressions.
[tex]\frac{x^3}{x^2-2x+1}[/tex] and [tex]\frac{-3}{x^{2}-3x+2}[/tex]
Factorize the denominators of these rational expressions,
Since, [tex]x^{2}-2x+1[/tex] = x² - 2x + 1
= (x - 1)²
And x² - 3x + 2 = x² - 2x - x + 2
= x(x - 2) -1(x - 2)
= (x - 1)(x - 2)
Now LCM of the denominators = (x - 1)²(x - 2)
Therefore, Least common denominator will be (x - 1)²(x - 2).
He’s asking which number is not supposed to be there
Answers
Answer:
65
Step-by-step explanation:
They all between 9
Answer:
the answer is 65......
the angle of elevation of the top of a tower from a point 42m away from the base on level ground is 36 find the height of the tower
Answers
Answer:
30.51 meters
Step-by-step explanation:
Given that:
The distance from the point to the base of the tower = 42 m, the angle of elevation = 36°.
According to sine rule if a,b,c are the sides of a triangle and its respective opposite angles are A, B, C. Therefore:
[tex]\frac{a}{sin(A)} =\frac{b}{sin(B)}=\frac{c}{sin(C)}[/tex]
Let the height of the tower be a and the angle opposite the height be A = angle of elevation = 36°
Also let the distance from the point to the base of the tower be b = 42 m, and the angle opposite the base of the tower be B
To find B, since the angle between the height of the tower and the base is 90°, we use:
B + 36° + 90° = 180° (sum of angles in a triangle)
B + 126 = 180
B = 180 - 126
B = 54°
Therefore using sine rule:
[tex]\frac{a}{sin(A)} =\frac{b}{sin(B)}\\\\\frac{a}{sin(36)}=\frac{42}{sin(54)}\\\\ a=\frac{42*sin(36)}{sin(54)}\\ \\a=30.51\ meters[/tex]
The height of the tower is 30.51 meters
Define the six trigonometric functions in terms of x and y
Answers
Answer: Since y = tan θ = y / x , and y and x are coordinates of a point, y can be any real number and x can be any real number except 0. Thus, the ratio y / x can be any real number, and we conclude that the range of y = tan θ is all real numbers. ... y = csc θ = r/ y , since sin θ and csc θ are reciprocals of one another.
Step-by-step explanation:
Since y = tan θ = y / x , and y and x are coordinates of a point, y can be any real number and x can be any real number except 0. Thus, the ratio y / x can be any real number, and we conclude that the range of y = tan θ is all real numbers. ... y = csc θ = r/ y , since sin θ and csc θ are reciprocals of one another.
The period of the function is the interval between repetitions of any function. A trigonometric function's period is the length of one whole cycle. As a starting point, we can use x = 0 for any trigonometry graph function. Trigonometric functions have a periodic nature. As opposed to tangent and cotangent, which have period, sine, cosine, secant, and cosecant all have period 2.
What is trigonometry?Studying the correlations between triangle side lengths and angles is the subject of trigonometry, a branch of mathematics. By using geometry to study astronomy, the field first appeared in the Hellenistic civilization during the third century BC. The earliest documented tables of values for trigonometric ratios (sometimes called trigonometric functions) such as sine were developed by mathematicians in India, while the Greeks concentrated on chord calculation.
Geodesy, surveying, celestial mechanics, and navigation are just a few of the fields where trigonometry has been used historically. The various identities of trigonometry are well recognized.
These trigonometric identities are frequently used to simplify, discover a more practical form for, or solve equations involving trigonometric expressions.
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complete question:
Explain what is meant by the period of a trigonometric function. what are the periods of the six trigonometric functions?
Hey, please help solve the question.
Answers
Answer:
75%=x-125
90%=x+250
subtract the second from the first
15%=375
100%=?
100%×375/15
100%=2500marked price is 2500
2500+250=2750
90%=2750
100%=?
cost price=3055.56
How do you figure out the answer to this sum ???20x48
Answers
Answer:
Step-by-step explanation:
20
×48
-------
160
800
---------
960
Hope this helps
plz mark as brainliest!!!!!!!
Answer:
960Step-by-step explanation:
20×48 =
= 20×(40+8) =
= 20×40 + 20×8 =
= 2×4×100 + 2×8×10 =
= 800 + 160 =
= 960
Or:
20×48 = 2×48×10 = 96×10 = 960
7x-x ............................ .
Answers
Answer:
6x
Step-by-step explanation:
Answer:
6x
Step-by-step explanation:
Here are the ages (in years) of 10 professors at a college. , 47, 44, 48, 43, 35, 65, 56, 37, 7351 What is the percentage of these professors who are younger than 50?
Answers
Answer:
50%
Step-by-step explanation:
We are given this set of data: Age of professors in years
47, 44, 48, 43, 35, 65, 56, 37, 73,51
We can firstly rearrange the years properly in ascending order.
Hence we have:
35, 37, 43, 44, 48, 51, 53 56, 65, 73
The number of the professor given = 10 professors
The number of professors younger 50 years = 5
Therefore, the percentage of these professors who are younger than 50
Is:
5/10 × 100 = 50%
Therefore, 50% of the professors are younger than 50
please help me please
Answers
Answer:
14 cm
Step-by-step explanation:
Answer:
14 cm will be the answer
