Answer:
[tex]A = 4500 ft^2[/tex]
Step-by-step explanation:
By definition:
The pre-meter P of a triangle ABC is equal to the sum of the length of its sides.
We know that:
[tex]P = 450\ ft\\AB = 9x\\BC = 41x\\CA = 40x[/tex]
The perimeter is:
[tex]P = AB + BC + CA\\P = 450 = 9x + 41x + 40x\\90x = 450\\x = 5[/tex]
Now we find the length of the sides:
[tex]AB = 45\\BC = 205\\CA = 200[/tex]
Once the length of the sides is known, we use Heron's formula to calculate the area.
First I find the semiperimeter S.
[tex]S = 0.5(45 + 205 +200)\\S = 225[/tex]
Then the Area is:
[tex]A = \sqrt{s(s-AB)(s-BC)(s-CA)}\\\\A = \sqrt{225(225-45)(225-205)(225-200)}\\\\A = 4500\ ft^2[/tex]
solve for x 6=1 over 3x+5
[tex]6 = 1 \: \over 3x + 5[/tex]
A group of students were asked whether they take French class, Art class, both classes or neither classes. The table shows the probabilities of the results
Art | Not Art | Total
French | 0.2 | 0.4 | 0.6
Not French | 0.35| 0.05 | 0.4
Total | 0.55 | 0.45 | 1.00
Let A represent taking French class and B represent taking Art class.
Which statement is true?
A. Taking Art class and taking French class are not independent events because P(A|B)=P(A) and P(B|A)=P(B) .
B. Taking Art class and taking French class are independent events because P(A|B)=P(A) and P(B|A)=P(B) .
C. Taking Art class and taking French class are independent events because P(A|B)≠P(A) and P(B|A)≠P(B) .
D. Taking Art class and taking French class are not independent events because P(A|B)≠P(A) and P(B|A)≠P(B) .<<<<<<<
Answer: D. Taking Art class and taking French class are not independent events because P(A|B)≠P(A) and P(B|A)≠P(B) .
Step-by-step explanation:
We know that for dependent events A and B , the conditional probability of getting a given that B is given by :-
[tex]P(A|B)=\dfrac{P(A\cap B)}{P(B)}[/tex]
From the given table, if A represent taking French class and B represent taking Art class.
Then P(A)=0.6
and P(B)=0.55
[tex]P(\cap B)=0.2[/tex]
Now, [tex]P(A|B)=\dfrac{0.2}{0.55}=0.036363\approx0.036[/tex]
[tex]P(B|A)=\dfrac{P(A\cap B)}{P(A)}=\dfrac{0.2}{0.6}=0.33333\aprox0.333[/tex]
Clearly, [tex]P(A|B)\neq P(A)[/tex]
[tex]P(B|A)\neq P(B)[/tex]
Therefore taking Art class and taking French class are not independent events because P(A|B)≠P(A) and P(B|A)≠P(B) .[ By definition of independent events]
The correct statement is D; Taking Art class and taking French class are not independent events.
Consider A represent taking a French class and B represents taking an Art class.
The formula to determine whether two events are independent or not is P(A and B) = P(A) x P(B),
where P(A and B) is the probability of both events happening together, P(A) is the probability of event A happening, and P(B) is the probability of event B happening.
D. Taking Art class and taking French class are not independent events because P(A|B)≠P(A) and P(B|A)≠P(B).
This statement is incorrect because the formula to determine whether two events are independent or not is;
P(A and B) = P(A) x P(B),
not P(A|B) ≠ P(A) and P(B|A) ≠ P(B).
Using the values in the table:
P(A) = 0.6 (taking French class)
P(B) = 0.55 (taking Art class)
P(A and B) = 0.2 (taking both classes)
P(A and B) ≠ P(A) x P(B)
0.2 ≠ 0.6 x 0.55
The correct statement is option D.
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Describe a square using geometric vocabulary
Answer:
parallelogram with equal diagonals that bisect the angles
Step-by-step explanation:
A square is a geometric shape with four equal sides and four right angles. Its diagonals are equal and bisect each other at right angles. The perimeter is calculated as 4 times the side length, and the area is the side length squared.
A square is a fundamental geometric shape, characterized by several distinct properties:
A square has four equal sides, meaning each side has the same length.It has four right angles, with each angle measuring 90 degrees.The diagonals of a square are equal in length and bisect each other at right angles, dividing the square into four right-angled isosceles triangles.The perimeter of a square can be calculated as 4 times the length of one side (P = 4s).The area of a square can be calculated as the side length squared (A = s²).For example, if each side of a square is 2 feet long,
area= 2 feet x 2 feet = 4 square feet.
These geometric properties make squares an important figure in mathematics and are often found in various structures and designs, emphasizing clarity and symmetry.
A football field is 100 yards long and 60 yards wide. Whats the length of a diagonal of the football field
Answer:
pythag. theorem
100^2 +60^2 =c^2
10,000+3600= (take sq. root) 13,600
c= 116.62ft
Step-by-step explanation:
The length of the diagonal of the football field is 116.62 yards.
What is the Pythagorean theorem?The Pythagorean theorem states that in a right-angled triangle, the sum of the squares of the two smaller sides is equal to the square of the hypotenuse.
The length of the diagonal can be found as follows:A football field is rectangular in shape.
The diagonal of a rectangle divides it into two right-angled triangles.
Therefore, the diagonal becomes the hypotenuse of the right-angled triangles.
Therefore, diagonal² = length² + width²
⇒ diagonal² = 10,000 + 3600 yards²
⇒ diagonal² = 13,600 yards²
⇒ diagonal = 116.62 yards
Therefore, the length of the diagonal of the football field is 116.62 yards.
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so if marissa walks from her home to the store, then to the park,then back home. How far does she walk in all?
Answer:
1 23/24
Step-by-step explanation:
Add up distance between park, home, and store. 7/8 + 1/4 + 5/6 = 47/24
Turn into mixed number (simplest form). 1 23/24 miles
F(x)=x^2-3x-2 is shifted 4 units left. The results is g(x). What is g(x)?
Answer:
B. [tex]g(x)=(x+4)^2-3(x+4)-2[/tex]
Step-by-step explanation:
The given function is
[tex]f(x)=x^2-3x-2[/tex]
If [tex]f(x)[/tex] is shifted to the left 4 units and the result is [tex]g(x)[/tex].
Then;
[tex]g(x)=f(x+4)[/tex]
We substitute [tex](x+4)[/tex] into [tex]f(x)=x^2-3x-2[/tex] to find the [tex]g(x)[/tex].
[tex]g(x)=(x+4)^2-3(x+4)-2[/tex]
The correct choice is B.
52,940 written in expanded form
Answer:
Fifty two thousand nine hundred forty
Step-by-step explanation:
Thank you!!
Please mark this as the brainliest one!!!
How many references should you have ready to list if an employer asks for them? a. 1-3 b. 3-5 c. 5-7 d. 7-9 Please select the best answer from the choices provided A B C D
B 3-5 is the correct answer.
Final answer:
You should prepare a separate sheet with 3-5 references when an employer requests them, choosing them strategically and ensuring they agree to vouch for you.
Explanation:
When an employer asks for your list of references, you should be prepared to provide a separate sheet with this information, rather than listing it directly on your résumé. A generally accepted number of references is three, so the best answer to how many references should be ready to list if an employer asks for them is 3-5. These references could include a mix of superiors, co-workers, clients, or instructors. It is important to contact each reference to confirm their willingness to speak on your behalf and to ensure your reference sheet is consistent with the look of your cover letter and résumé. Moreover, always choose references strategically, selecting those who can positively attest to your skills, knowledge, and work habits.
Which statements is an axiom of euclidean geometry?
A. If two lines intersect, their intersection is a plane.
B. If two planes instersect, their intersection is a point.
C. If two points lie in a plane, the line containing those points lies in the same plane.
D. If two points lie in a plane, the line containing those points lies in the same plane.
E. Given any two points A and B, there are exactly two lines that contain those points.
Answer:
C. If two points lie in a plane, the line containing those points lies in the same plane.
D. If two points lie in a plane, the line containing those points lies in the same plane.
Best regards
A boat travels 60 miles downstream in the same time it takes to go 36 miles upstream the speed of the boat in Stillwater is 15 mph greater than the speed of the current find the speed of the current
Final answer:
To find the speed of the current, we can set up equations for the boat's downstream and upstream speeds and solve for the current speed.
Explanation:
To find the speed of the current, let's assume the speed of the boat in still water is x mph. Since the boat's speed downstream is 60 mph, we can set up the equation:
(x + c) * t = 60
Where 'c' represents the speed of the current, and 't' represents the time taken. Similarly, the equation for the upstream speed of the boat (36 mph) can be written as:
(x - c) * t = 36
Simplifying these equations, we get:
x + c = 60/t
x - c = 36/t
Adding these equations, we obtain:
2x = 96/t
Solving for x, we get:
x = 48/t
Substituting this value back into one of the original equations, we can solve for t:
(48/t) + c = 60/t
Simplifying, we find:
c = 12/t
Therefore, the speed of the current is inversely proportional to the time taken for the downstream and upstream journeys.
How to transform this to vertex form 2x^2-18x+8
Answer:
see explanation
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square
• The coefficient of the x² term must be 1
y = 2(x² - 9x) + 8
• add/subtract (half the coefficient of the x- term)² to x² - 9x
y = 2(x² + 2 (- [tex]\frac{9}{2}[/tex]) x + (- [tex]\frac{9}{2}[/tex])² - (- [tex]\frac{9}{2}[/tex])²) + 8
y = 2(x - [tex]\frac{9}{2}[/tex])² - 2([tex]\frac{81}{4}[/tex] + 8
= 2(x - [tex]\frac{9}{2}[/tex])² - [tex]\frac{65}{2}[/tex] ← in vertex form
A father who is 42 years old has a son and a daughter. The daughter is three times as old as the son. In at present? 10 years, the sum of all their ages will be 100 years. How old are the two siblings
Answer:
The son is 7 and the daughter is 21
Step-by-step explanation:
So, if they’re his kids they must be younger than him which means that both ages are more than 42. One number also has to be the other one times 3. 7*3 = 21 and they are also both less than 42. That means it’s your answer.
Brainliest please
After 10 years, the two siblings are 12 years and 36 years old.
What is an equation?Two algebraic expressions having same value and symbol '=' in between are called as an equation.
Given:
A father who is 42 years old has a son and a daughter.
The daughter is three times as old as the son.
Let x be the age of the son, then 3x be the age of the daughter.
After 10 years, the sum of all their ages will be 100 years.
That means,
x + 10 + 3x + 10 + 42 = 100
4x = 48
x = 12
Then 3x = 36.
Therefore, the ages of the siblings are 12 and 36.
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What expression is equivalent to 4(2x+1)-(-6x)
The expression 4(2x+1)-(-6x) simplifies to the equivalent expression 14x + 4 using the distributive property and the rule for subtracting negative numbers.
Explanation:The expression given is 4(2x+1)-(-6x). To simplify this expression, we should use the distributive property and also the rule that subtracting a negative is the same as adding a positive.
Let's break down the steps:
First, distribute the 4 inside the parentheses: 4 × 2x + 4 × 1, which gives us 8x + 4.Next, consider the term -(-6x). Subtracting a negative number is equivalent to adding: -(-6x) = +6x.Finally, combine the like terms: 8x + 6x + 4 which simplifies to 14x + 4.The equivalent expression for the given problem is found to be 14x + 4.
Can you guys pls help me out
Answer:
A. $240,000
Step-by-step explanation:
look at the chart - find $30,000 and find 35 year old / 75%.. go down and to the right of the chart and find 8.0.. multiply 30,000 by 8.0 = 240,000.
hope this helps!!
which of the following are leisure activities
Leisure activities can be categorized as either active or passive and include a variety of pursuits from bowling, hunting, and team sports to reading, computer games, and television viewing. Technological advancements have led to an increase in sedentary leisure activities such as web surfing.
Explanation:Leisure activities encompass a range of pursuits that individuals engage in during their free time for enjoyment, relaxation, and entertainment.
In contemporary society, leisure activities have evolved to include both active and passive forms.
Examples of active leisure activities that were popular in the past include sports such as bowling, hunting, fishing, boating, and golf, as well as attendance at team sports like baseball, basketball, and football.
These activities usually involve physical exertion and outdoor participation.
On the other hand, sedentary or passive leisure activities have grown in prevalence with advancements in technology, including computer games, web surfing, and television viewing.
Furthermore, cultural activities such as reading books and magazines, enjoying music, dancing, and art have remained significant leisure pursuits.
Examples of recreational goods and services include televisions, cable television, pets and pet products, sports equipment, and admissions to events or locations relating to these activities.
Which best describes the graphs of the line that passes through (0,2) and (6,4) and the line that passes through (2,1) and (5,7)?
Answer:
The line which has slope 1/3 is a shallow line.
The line which has slope 2 is a steep line.
Both are increasing.
Step-by-step explanation:
Compare the lines by finding the slope between each pair of points.
Using the slope formula, substitute the points.
[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{4-2}{6-0} = \frac{2}{6} = \frac{1}{3}[/tex]
[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{7-1}{5-2} = \frac{6}{3} = 2[/tex]
The line which has slope 1/3 is a shallow line.
The line which has slope 2 is a steep line.
the diagram shows three different bicycle routes taken by Frank,alexis,and juan to get to the electronics store. Frank-8kilo Alexis-6kilo juan ? kilometers
Answer:
10 km
Step-by-step explanation:
8^2+6^2=10^2
Answer:
Juan traveled 10 km.
Step-by-step explanation:
is also right on EDGEN.
perform the multiplication
(a–5)^2(5+a)^2
[tex]\bf \textit{difference of squares} \\\\ (a-b)(a+b) = a^2-b^2 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ (a-5)^2(5+a)^2\implies (a-5)^2(a+5)^2\implies [(a-5)(a+5)]^2\implies \stackrel{\stackrel{\textit{difference}}{\textit{of squares}}}{[a^2-5^2]^2} \\[2em] [a^2-25]^2\implies (a^2-25)(a^2-25)\implies \stackrel{\mathbb{F~O~I~L}}{a^4-50a^2+25^2}\implies a^4-50a^2+625[/tex]
The soccer coach claimed that on average only 80% of the team come to practice each day if the team has 20 members how many team members should come to practice to uphold the coach’s claim
Answer:
16 team members.
Step-by-step explanation:
To find 80% of 20, multiply 20 by 0.8.
20 × 0.8 = 16.
You own 6 pairs of jeans and want to take 2 of them with you on vacation,in how many ways can you choose 2 pairs of jeans?
A-10
B-12
C-15
D-20
Answer:
your answer is 20. Hope this helped! :)
Step-by-step explanation:
Answer:
Step-by-step explanation:
its 15
HELP PLZZZZ BRAINLIEST! Which stem-and-leaf plot represents the data 10, 70, 37, 65, 88, 86, 70, 10, 15, 15, 15?
Answer:
The correct answer is C.
Step-by-step explanation:
For stem leaf plot, the only thing you do is put the number on the tens place under "stem" and the number on the ones place under "leaf".
The stem-and-leaf plot that represents the data is the Stem and leaf of option C.
Option C is the correct answer.
What are stem and leaf?In statistics, a stem-and-leaf plot is a way to display a set of numerical data in a visual format that allows for easy analysis of the distribution of the data.
We have,
The data are:
10, 70, 37, 65, 88, 86, 70, 10, 15, 15, 15
This can be written in stem and leaf form as:
Stem and leaf of option C.
Now,
There are 5 numbers where the first value is 1.
i.e
10, 10, 15, 15, and 15.
This can be seen in the Stem and leaf of option C.
Thus,
The stem-and-leaf plot that represents the data is the Stem and leaf of option C.
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If the radius of the circle was doubled what effect would it have on the area
Answer:
Step-by-step explanation:
If the radius of a circle is doubled, the area of the circle will be quadrupled and the circumference will also be doubled. This makes sense because the area of a circle is directly proportional to the square of the radius of the circle (if the radius of a circle is increased x times, its area will be increased to x^2 times the original area), whereas the circumference is proportional to the size of the radius (if the radius of a circle is increased x times, its circumference will increase x times).
Amir has a stand where he sells lemonade for $1.00 per cup and packages of chocolate chip cookies for $1.50. If he earns $280 on his first weekend and sells twice as many cups of lemonade as packages of cookies, how many of each did he sell? Wrote and solve a system of equations.
Answer:
160 cups of lemonade and 80 packages of cookies.
Step-by-step explanation:
l = lemonade
c = cookies
l+1.5c=280
2c=l
Substitute.
3.5c=280
Simplify.
c=80
Substitute into the second equation.
l=160.
Plug it back into the equations to check.
Which odd number comes right after 14?
the odd number after 14 is 15
Answer:
The odd number after 14 is 16
Please help it will help so much
Answer:
8:10
Step-by-step explanation:
If you add the amount of minutes it takes for her to get ready, then add them to 7:15 (55 minutes after 7:15) you get 8:10
The answer is d. I already did the math on the calculator
What is the inverse of the function
f
(
x
)
=
−
1
2
(
x
+
3
)
f(x)=−
2
1
Answer:
f
−
1
(
x
)
=
2
x
+
6
?
f^-1(x)=2x+6 is the answer i believe
Answer:
−2x−3
Step-by-step explanation:
I don't know if right
Need to show a 5 step problem on how to get the answer. Using x and y
Answer: $5.64
Step-by-step explanation:
Let x represent 1 box of batteries
Let y represent 1 case of batteries
Given: 14x = 3y
Given: 158 = 14x + 3y
Use substitution: 158 = 14x + 14x
Simplify: 158 = 28x
Divide by 28: 5.64 = x
A teacher has 24 students in her class. She wants to divide them into 4 equal groups. Write an expression to represent the number of students in each group.
let's set up an equation
4x=24
solve normally:
x=6
so the expression is 4x=24 and she can have 6 kids in each group
Analyze the diagram below and complete the instruction that follow.
Answer:
x=10
Step-by-step explanation:
The two angles form a straight line so they add to 180 degrees
7x-3 + 12x-7 = 180
Combine like terms
19x-10 = 180
Add 10 to each side
19x-10+10 = 180+10
19x = 190
Divide by 19
19x/19 = 190/19
x= 10
Answer:
10
Step-by-step explanation:
We are given a diagram which we are to analyze and and solve for x.
We can see the a straight line is intersected by another line thus forming two angles which are supplementary. It means that the sum of these angles is equal to 180 degree.
So we can write them as:
[tex] ( 7 x - 3 ) + ( 12 x - 7 ) = 180 \\\\ 12 x + 7 x = 180 + 3 + 7 \\\\ 19 x = 190 \\\\ x = \frac { 190 } { 19 }\\\\ x = 10 [/tex]
Therefore, the correct answer option is 10.
Ayuda por favor
I need help
Answer:
B
Step-by-step explanation:
Multiplying something by 10^-1 is just dividing it by 10.
So 3.02 / 10 = 0.302 since the decimal point moves one to the left.
B
Explication pas à pas:
[tex]3.02 / 10 = 0.302[/tex]
le point décimal se déplace de un à gauche.