Answer: 312.3 square feet
Step-by-step explanation:
The area of Felipe’s bedroom floor is 312.3 square ft.
What is Pythagoras theorem:If we have a right-angled triangle then we can write the following equation,
(Hypotenuse)² = (Base)² + (Height)²
Properties of a rectangle:In the given figure attached below the properties are as follows:
ML = JKKL = JMarea = (Base × Width) = KL × MLIn the given question and in the figure attached below the given values are:
ML = 18 ft.KM = 25 ft.By applying Pythagoras theorem in ΔKML we get,
(KM)² = (KL)² + (ML)²
Putting all the values in the above equation,
(25)² = (KL)² + (18)²
By rearranging,
(KL)² = (25)² - (18)²
Applying the formula, a² - b² = (a + b)(a - b) we get,
(KL)² = (25 + 18)(25 - 18)
(KL)² = 43 × 7
KL = √301 ft.
Now the area is,
area = KL × ML
= (√301 × 18) square ft.
= 312.3 square ft.
Therefore, the area of Felipe’s bedroom floor is 312.3 square ft.
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find the exact value of 2sin30 cos30
Answer:
[tex]\frac{\sqrt{3}}{2}[/tex]
Step-by-step explanation:
Let's take a look at the unit circle below.
Remmeber that cos represents the x-value and that sin represents the y-value.
We see that:
[tex]sin(30)= \frac{1}{2}\\\text{and}\\ cos(30) = \frac{\sqrt{3}}{2}[/tex]
Now we just multiply all the together and we get:
[tex]2*\frac{1}{2}*\frac{\sqrt{3}}{2} =\frac{\sqrt{3}}{2}[/tex]
pls help will give brainliest
The complete table is,
3) Definition of parallelogram.
4) Alternate interior angle theorem.
5) Reflexive property of congruence.
6) By SAS congruency theorem.
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
⇒ ABCD is a parallelogram.
Now, We have complete table is,
Statements Reasons
1) AD || BC Definition of parallelogram.
2) ∠ADB ≅ ∠CBD Alternate interior angle theorem.
3) AB || CD Definition of parallelogram.
4) ∠ABD ≅ ∠CDB Alternate interior angle theorem.
5) DB ≅ DB Reflexive property of congruence.
6) ΔABD ≅ ΔCDB By SAS congruency theorem.
Thus, The complete table is,
3) Definition of parallelogram.
4) Alternate interior angle theorem.
5) Reflexive property of congruence.
6) By SAS congruency theorem.
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In lancaster, the library is 9 miles due south of the courthouse and 4 miles due west of the
community swimming pool. what is the distance between the courthouse and the community
swimming pool? if necessary, round the nearest tenth.
use brainly to find the answer
100 POINTS FOR THE CORRECT ANSWER!!
Answer:
14,11,8
Step-by-step explanation:
If f(1)= 17
and f(n)= f(n-1) -3
f(2)= f(2-1)-3
f(2)=f(1)-3
f(2)=17-3
f(2)=14
f(3)=f(3-1)-3
f(3)=f(2)-3
f(3)=14-3
f(3)=11
f4)=f(4-1)-3
f(4)=f(3)-3
f(4)=11-3
f(4)=8
Answer:
14, 11, 8
Step-by-step explanation:
Given recursive formula:
[tex]\begin{cases}f(1)=17\\f(n)=f(n-1)-3\end{cases}[/tex]
A recursive formula for an arithmetic sequence allows you to find the nth term of the sequence f(n) provided you know the value of the previous term in the sequence f(n-1).
Therefore, the next 3 terms in the sequence are:
[tex]\begin{aligned}\implies f(2) & =f(2-1)-3\\& = f(1)-3\\& = 17-3\\& = 14\end{aligned}[/tex]
[tex]\begin{aligned}\implies f(3) & =f(3-1)-3\\& = f(2)-3\\& = 14-3\\& = 11\end{aligned}[/tex]
[tex]\begin{aligned}\implies f(4) & =f(4-1)-3\\& = f(3)-3\\& = 11-3\\& = 8\end{aligned}[/tex]
sin^2(360°-x)+cosx.cos(360°-x)
Answer:
1
Step-by-step explanation:
sin²(360⁰-x)+cosx.cos(360⁰-x)
sin²x+cosx.(cosx)
sin²x+cos²x
1
I hope it helped you
A student rounded 3872 to the nearest hundred and to the nearest thousand. The student noticed that the results, 3900 and 4000, were not equal. The student claimed that the two results will never be equal when a number is rounded to the nearest thousand
what TWO numbers could be used to show that the student's claim is incorrect
select TWO correct answers.
A. 43,594
B. 55,962
C. 67,299
D. 72,357
E. 81,974
Answer:
C & D
Step-by-step explanation:
The two answers would be the same.
Hope this is correct.
BTW today is my bday.
You randomly choose one Marble from the jar find the favorable outcome of the event
There are 6 blue marbles
4 red marbles and 2 green marbles
1. Choosing a blue marble
2.Not choosing a red marble
(Don’t mind the erased work it was a mistake I made)
Answer:
50% of blue
33.3333...% for not choosing red
Marisols bedroom has an area of 29. 76 square meters. the length of the room is 6. 2 meters. what’s is the width
Answer:
4.8 m
Step-by-step explanation:
The area of a rectangle is the product of length and width. This relation can be used to find any of the dimensions when the other two are known.
__
Here, we know area and length, so we can find width.
A = LW
W = A/L = (29.76 m²)/(6.2 m) = 4.8 m
Mariosol's bedroom is 4.8 meters wide.
Tara has
cup of ice cream. How many --cup servings are in
3
4
cup of ice cream?
1
5
Answer: 3.75 Cups
3/4=_/20, to get that multiply the bottom number by each other, in doing so,you will get 15/20, now lets make 1/5= to 20, so we get 4/20 so therefore saying 4/20+4/20+4/20=12/20, so you can make 3 1/5 cups and you will have 3/20 (scoops? cups?) left of ice cream, so 3.75 cups
Step-by-step explanation: HOPE THIS HELPS U!!! LOV<3
Part 1: find measure of X
Part 2: find measures of PS and QR
Answer:
Step-by-step explanation:
Determine whether the following is a statistical question.
how many boogers does karissa the ogre have in her left nostril?
choose 1 answer:
a
statistical
b
not statistical
Find the value of x that makes ABCD a parallelogram.
D
C
150°
5x
150°
B
O A. 5
O B. 6
C, 30
D. 10
Answer:
the answer is 6
Step-by-step explanation:
5x+150=180( cointerrior angle of traingle)
5x=30
x=6
Select the correct answer.
The equation of a line is y = -3x – 2. What are the slope and the y-intercept of the line?
Question 9 options:
slope = -3 and y-intercept = 2
slope = 3 and y-intercept = -2
slope = 3 and y-intercept = 2
slope = -3 and y-intercept = -2
Answer:
D
Step-by-step explanation:
The formula for y=
y=(slope)x-(y intercept).
So, we are given -3 and -2 in the places-
y=(slope)-3x-(y intercept)-2
So, the answer is -3 and -2.
(D)
Jessica has 573 stickers in her collection. How many sets of 10 stickers does jessica have in her collection?
Answer:
57 3/10 or 57.3 sets
Step-by-step explanation:
573 stickers divided by 10 sets
Answer:
57 sets of 10 stickers
Step-by-step explanation:
573/10 = 57.3
so, 57 sets of 10 stickers.
Hope this helped! Have a nice day!
Please give Brainliest when possible!
- King Jaron
Which property of multiplication is shown below?
If x = a + bi and y = c + di, x × y = y × x.
commutative property
identity property
distributive property
associative property
Answer:
Commutative property
Step-by-step explanation:
Commutative property: In multiplication, when the order of the two numbers are changed, then it doesnot affect the end result.
Answer:
A on edge 2022
0.063 = 0.9 X _____
Pls answer I need ASAP
Step-by-step explanation:
[tex] \frac{0.063}{0.9} = x \\ x = \frac{0.021}{0.3} \\ x = \frac{21}{300} \\ x = \frac{7}{100} \\ x = 0.07[/tex]
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
3:10
Step-by-step explanation:
3:10 is the ratio form of 3/10
You have five employees. They work the following number of hours last week: 42, 26, 39, 12, 55. What is the median number of hours worked
Answer:
39
Step-by-step explanation:
The median is the value separating the higher half of a data sample, a population, or a probability distribution, from the lower half. In simple terms, it may be thought of as the "middle" value of a data set!
Hope this helps
Welcome to the brainiest championship answer the question and you win a brainiest.
Answer:
d
Step-by-step explanation:
Answer: d
Step-by-step explanation:
You want to see how many pieces of candy you can eat per minute. You run a few tests and come up with the equation y=9x
that represents this. What is the unit rate that represents your eating speed?
Prove that equation ax^2+2hxy+by^2 always represent a pair of straight lines passing through the origin
what is the value of 25.761-17.49
Answer - 25.761-17.49=?
Then,
the answer is 8.271
Which of the following describes the domain of y= tan x, where n is any
integer?
O A. x≠npi
O B. x≠pi/2+npi
O C. x≠npi/2
O D. X≠27npi
Answer:
A. x≠npi is right B. x≠pi/2+npi,C. x≠npi/2,D. X≠27npi are wrong
Answer:
B. pi/2 + npi
Step-by-step explanation:
trust me brother
Anthony is 3 years older than his brother. write an equation you can use to find their ages. do not solve
equation: 3+x=
anthony= 3 years older
x= age of his brother
You must add 3 more years to the brother's age.
5) Dane makes a budget for her birthday, she plans to
spend 3/36 Cthree misty-sixths) of her budget on a
cake that costs $24.00. How many much is her total
budget for the birthday.
Answer:
Step-by-step explanation:
She plans to spend 3/36 of her budget on a cake ($24.00).
Because $24.00 is 3/36 of the total budget, you divide 24 by 3/36.
[tex]\frac{24}{1}[/tex] ÷ [tex]\frac{3}{36}[/tex]
Then, multiply the reciprocal of 3/36, which is 36/3.
= [tex]\frac{24}{1}[/tex] × [tex]\frac{36}{3}[/tex]
= [tex]\frac{864}{3}[/tex] = 288
So, Dane's total budget for the birthday is $288.
Hope this helped !
NEED HELP ASAP
In 1997, a restaurant chain had a profit of $45,000. In 2005, the company had a profit of $2,605,000.
Find the average rate of change of the chain's profit in dollars per year.
can someone help with this please I would really appreciate it.
Answer:
The answer is 8 ft ^3
Step-by-step explanation:
1. 4 (base ) x 4 (width) x 2 (height)
2. Get the answer of 32.
3. Do 32 x 1/4 because each square is 1/4 ft.
4. Get the answer of 8
Hope this helps! :)
Show that x = -5 is a solution to the inequality 18x − 42 ≠ 7x
Answer:
See Below
Step-by-step explanation:
Put -5 in place of x
18(-5)-42 does not equal 7(-5)
-90-42 does not equal -35
-90-42=-132, not -35
The value x = -5 is a solution to the inequality 18x − 42 ≠ 7x.
What is inequality?The relation between two expressions that are not equal, employing a sign such as ≠ ‘not equal to’, > ‘greater than, or < ‘less than.
For showing x =-5 is a solution of the inequality 18x − 42 ≠ 7x put x =-5 in the solution if it satisfies the condition then it is a solution of the given inequality.
18x − 42 ≠ 7x
18 x ( -5 ) - 42 ≠ 7 x ( -5 )
-132 ≠ -35
The value x = -5 is satisfying the given inequality. Hence, x = -5 is a solution to the inequality 18x − 42 ≠ 7x.
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Which function matches the graph?
A 2-dimensional graph with an x-axis and a y-axis is given. A parabolic curve is drawn whose axis of symmetry is parallel to y-axis and its vertex is at (1,-3); is passing through co-ordinates (3,1) and (-1,1).
A. f(x) = (x – 3)2 – 3
B. f(x) = (x + 1)2 – 6
C. f(x) = (x + 2)2 – 5
D. f(x) = (x – 1)2 – 3
vertex : (1,-3)
coordinates : (3,1) and (-1,1)
parabola formula : y = a(x -h)² + k
(x, y) - from the coordinates(h, k) - from the vertexso given,
h = 1
k = -3
x = 3
y = 1
solve for a:
1 = a(3 -1)² + (-3)1 = 4(a) - 34(a) = 4a = 1Therefore equation:
y = (x -1)² - 3
check the graph for confirmation:
Answer: Graph the parabola y=x2−7x+2 .
Compare the equation with y=ax2+bx+c to find the values of a , b , and c .
Here, a=1,b=−7 and c=2 .
Use the values of the coefficients to write the equation of axis of symmetry .
The graph of a quadratic equation in the form y=ax2+bx+c has as its axis of symmetry the line x=−b2a . So, the equation of the axis of symmetry of the given parabola is x=−(−7)2(1) or x=72 .
Substitute x=72 in the equation to find the y -coordinate of the vertex.
y=(72)2−7(72)+2 =494−492+2 =49 − 98 + 84 =−414
Therefore, the coordinates of the vertex are (72,−414) .
Now, substitute a few more x -values in the equation to get the corresponding y -values.
x y=x2−7x+2
0 2
1 −4
2 −8
3 −10
5 −8
7 2
Plot the points and join them to get the parabola
in short terms D.
In one week, a music store sold 9 guitars for a total of $3611. Electric guitars sold for $479
each and acoustic guitars sold for $339 each. Write and solve a system of equations to
determine how many of each type of guitar was sold.
Answer:
4 electric guitars and and 5 acoustic guitars were sold.
Step-by-step explanation:
Electric guitars: [tex]x[/tex]
Acoustic guitars: [tex]y[/tex]
[tex]y + x = 9\\y(339) + x(479) = 3611\\[/tex]
--------------------------------
[tex]y + x = 9\\339y + 479x = 3611[/tex]
--------------------------------
[tex](y + x = 9)339\\(339y + 479x = 3611)1[/tex]
--------------------------------
[tex]339y + 339x = 3051\\339y + 479x = 3611[/tex]
--------------------------------
[tex]-140x = -560\\x = \frac{-560}{-140} \\x = 4[/tex]
Choose any of the two equations in the first step and substitute 4 for [tex]x[/tex].
[tex]y + 4 = 9\\y = 9 - 4\\y = 5[/tex]
Therefore, there are 4 electric guitars and and 5 acoustic guitars were sold.
Note: In the elimination method of simultaneous equations, (+) + (+) = (-); (+) + (-) = (+) and (-) + (+) = (+) the signs addition or subtraction.