How many square meters are there in a floor that is 9 meters long by 12 meters wide?
99
108
109
117
Answer:
108
9×12
Step-by-step explanation:
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Problem 1: Verify whether these two functions are inverses: (x + 5) f(x) = (2x + 1) and g(x) = (5 - x) (2x - 1) What is g(x))? Use your keyboard and the keypad to enter your answer. Then click Done
g(f(x)) = x
What is inverse function?
An inverse function is defined as a function, which can reverse into another function.
[tex]f(x)= \frac{(x + 5)}{(2x + 1)}[/tex]
[tex]g(x)= \frac{(5 - x)}{(2x - 1)}[/tex]
[tex]g(f(x))=g( \frac{(x+5)}{(2x +1)})[/tex]
Substitute the value of f(x),
[tex]g(f(x))= \frac{(5 - \frac{(x + 5)}{(2x + 1)})}{(2 \frac{(x + 5)}{(2x + 1)} - 1)}[/tex]
[tex]g(f(x))= \frac{\frac{10x+5-x-5}{2x+1} }{ \frac{2x+10-2x-1}{2x+1}}[/tex]
[tex]g(f(x)) = \frac{9x}{9}[/tex]
g(f(x)) = x
Hence, g(f(x)) = x
Learn more about inverse function
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Find the exact value of sin(255∘)
Check the picture below.
[tex]\textit{Sum and Difference Identities} \\\\ sin(\alpha + \beta)=sin(\alpha)cos(\beta) + cos(\alpha)sin(\beta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ sin(255^o)\implies sin(135^o+120^o) \\\\\\ sin(135^o)cos(120^o)~~ + ~~cos(135^o)sin(120^o) \\\\\\ \left( \cfrac{\sqrt{2}}{2} \right)\left( -\cfrac{1}{2} \right)~~ + ~~\left( -\cfrac{\sqrt{2}}{2} \right)\left( \cfrac{\sqrt{3}}{2} \right)\implies -\cfrac{\sqrt{2}}{4}~~ - ~~\cfrac{\sqrt{6}}{4}\implies \cfrac{-2-\sqrt{6}}{4}[/tex]
Solve the quadratic equation by using either a numeric or a graphic approach. x squared + 2 x minus 3 = 0 a. x = -1.1 or x = -2 c. x = 2 or x = -5 b. x = 2.3 or x = -0.82 d. x = 1 or x = -3
[tex]x^2+2x-3=0\\\\\implies x^2 +3x -x -3 =0\\\\\implies x(x+3) -(x+3)=0\\\\\implies (x-1)(x+3)=0\\\\\implies x =1 ~ \text{or}~ x = -3[/tex]
Use the following table to find the probability that a randomly chosen member of the Student Government Board is a graduate student or lives in
on-campus housing. Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
Students on the Student Government Board
Classification
On-Campus Housing Off-Campus Housing
Freshman
1
4
Sophomore
2
0
Junior
1
2
Senior
2
0
Graduate Student
2
3
Prey
Next
Copy Data
Answer How to enter your answer opens in new window) 2 Points
Keypad
Keyboard Shortcuts
56°F
Using it's concept, it is found that there is a [tex]\frac{11}{17}[/tex] probability that a randomly chosen member of the Student Government Board is a graduate student or lives in on-campus housing.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, a total of 1 + 4 + 2 + 0 + 1 + 2 + 2 + 0 + 2 + 3 = 17 students were sampled.
Of those, 1 + 2 + 1 + 2 + 2 = 8 live in on campus housing, and 3 live off campus but are graduate students, hence there are 11 desired outcomes and the probability is given by:
[tex]\frac{11}{17}[/tex]
More can be learned about probabilities at https://brainly.com/question/14398287
Determine the measure of the interior angle at vertex C.
Answer:
B. 120 Degrees
Step-by-step explanation:
We know that the total interior angle of any five sided polygon is 540 Degrees.
The total interior angle of this polygon is
4x + 4x + 4x + 3x + 3x = 18x 540 = 18x
Divide by the lowest ratio 540/18 = 30
30 = x
C = 4x
4X30 = 120
C = 120 Degrees
help me please mark U as BRAINLIEST
Hope this helps. Good luck
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 8. If there were 6600 no votes, what was the total number of votes?
Answer:
The total number of voters = 10725
Step-by-step explanation:
The total number of votes cast was 5 + 8
The no votes ratio is 8/ 13
This question is a a proportion question.
A proportion question is 2 ratios equal to other. Three of the parts of the ratios are known and you are asked to find the fourth. In this question the no votes are known to be 8 and the total is 13.
The total no votes = 6600. So the three parts are known are
no vote ratio = 8No vote number =6600total vote ratio part = 13You are asked to find the total number of voters.8/13 = 6600/x Cross multiply
8x = 13*6600 Combine the right.
8x = 85800 Divide by 8
8x/8 = 85800/8
x = 10725
The total number of voters = 10725
Find the value of each variable in the parallelogram.
Answer:
x = 9 and y = 15
Step-by-step explanation:
this is the answer because each side is equivalent to the parallel line so y would be whatever is across from it
Answer:
y=15
x=9
Step-by-step explanation:
they are parallel and equal to the opposite sides
how many three-letter "words" can Bob make using just these letters?
Answer:
two
Step-by-step explanation:
the two "words" Bob can make using the three letters t, o, and a are;
oat and tao
hope this helps
Assume you have two six-sided dice - both numbered 1 to 6 - and add the total of the dice after each roll. Leave all answers as a fraction a/b. What is the probability of rolling a 4
The side of the clip on a clip board appears to be a right triangle. The
leg lengths are 2 millimeters and 2.1 millimeters and the hypotenuse
is 2.9 millimeters. Is the side of the clip a right triangle?
Answer:
Yes, it is a right triangle.
Step-by-step explanation:
Answer:
Yes, this is a right triangle.
Step-by-step explanation:
For this, you would use the Pythagorean theorem a^2 + b^2=c^2
Here we have 2^2+2.1^2=2.9^2
So we must check to see if that checks out. What we find is that both sides are equal to 8.41 which means we have a right triangle.
what is
A two-column proof
Answer:
A two-column geometric proof consists of a list of statements, and the reasons that we know those statements are true. The statements are listed in a column on the left, and the reasons for which the statements can be made are listed in the right column.
The length of a rectangle is 2ft longer than it’s width. If the perimeter of the rectangle is 32 ft, find it’s area
Answer:
Area of rectangle is 63 feet²Step-by-step explanation:
Given:
The length of a rectangle is 2ft longer than it’s width. If the perimeter of the rectangle is 32 ftTo Find:
Area of the rectangle.Solution:
Let's assume Width of rectangle be x feet and length be 2 +x. to Find the are of the rectangle firstly we need to the length and width of the Rectangle:
Using formula:
Perimeter of rectangle = 2(L + B)→ 32 = 2(x + 2 + x)
→ 32 = 2(2x + 2)
→ 32 = 4x + 4
→ 32 - 4 = 4x
→ 28 = 4x
→ 28/4 = x
→ 7 = x
Hence,
Length of the rectangle = 2 + x = 9 feetWidth of the rectangle = x = 7 feet.Now,
→ Area of rectangle = Length × Width
→ Area fo rectangle = 9 × 7
→ Area of rectangle = 63 feet²
Hence, Area of the rectangle is 63 feet²Answer:
63 sq.ft⠀
Step-by-step explanation:
⠀
As it is given that, the length of a rectangle is 2ft longer than it’s width and perimeter of the rectangle is 32 ft.⠀
So, let us assume the width of the rectangle as w ft and therefore the length will (w + 2) ft .
⠀
Now,
⠀
[tex]{\longrightarrow \qquad{ {{\boldsymbol {2 ( Length + Breadth )= Perimeter_{(Rectangle)} }}}}}[/tex]
⠀
[tex]{\longrightarrow \qquad {\rm{2(w + 2 + {w})= 32 \ }}}[/tex]
⠀
[tex]{\longrightarrow \qquad {\rm 2({2w + 2= 32 ) }}}[/tex]
⠀
[tex]{\longrightarrow \qquad {\rm{4w +4= 32 \ }}}[/tex]
⠀
[tex]{\longrightarrow \qquad {\rm{4w = 28\ }}}[/tex]
⠀
[tex]{\longrightarrow \qquad {\rm{w = \dfrac{28}{4} }}}[/tex]
⠀
[tex]{\longrightarrow \qquad{ \mathfrak{{\pmb{w = 7 }}}}}[/tex]
⠀
Therefore width of the rectangle is 7 ft .⠀
Now, We are to find the length of the rectangle:
[tex]{\longrightarrow \qquad{ {{\rm{Length = w + 2 }}}}}[/tex]
⠀
[tex]{\longrightarrow \qquad{ {{ \rm{Length = 7 + 2 }}}}}[/tex]
⠀
[tex]{\longrightarrow \qquad{ { \frak{ \pmb{Length = 9}}}}}[/tex]
⠀
Now, we are to find the area of the rectangle :
⠀
[tex]{\longrightarrow \qquad{ {{\boldsymbol{ Area_{(Rectangle)} = Length \times Breadth }}}}}[/tex]
⠀
[tex]{\longrightarrow \qquad{ {{ \rm{ Area_{(Rectangle)} = 9 \times 7 }}}}}[/tex]
⠀
[tex]{\longrightarrow \qquad{ { \pmb{\boldsymbol{ Area_{(Rectangle)} = 63 }}}}}[/tex]
⠀
Therefore,
The area of the rectangle is 63 ft².⠀
Find MQ in parallelogram LMNQ .
Answer:
MQ = 16.4
By the Parallelogram Diagonals Theorem , MP = PQ
So MQ = 2 · MP
Step-by-step explanation:
Parallelogram Diagonals Theorem
The diagonals of a parallelogram bisect each other, i.e. they divide each other into two equal parts.
P is the point of intersection of the diagonals.
Therefore, MP = PQ and LP = PN
If MP = 8.2, then PQ = 8.2
⇒ MQ = 8.2 + 8.2 = 16.4
What is the measure of Zx?
Angles are not necessarily drawn to scale.
Answer:
17°
Step-by-step explanation:
First, see what's the angle of "AOC"
Here, it's 90° (since it shows the Box at the bottom of the angle instead of a semicircle.
Now, lets subtract 90 by 73
that will be 17
so hence, the value of X is 17°
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If you see someone without a simle, give them one of yours!
Thanks!
Have a great day!
:D
Find a degree 3 polynomial whose coefficient of x^3 equal to 1. The zeros of this polynomial are -5, -4i, and 4i. Simplify your answer so that it has only real numbers as coefficients.
I got an answer by solving (x^3+5x^2-16x-80) but it says thats incorrect.
Answer:
x^3+5x^2+16x+80
Step-by-step explanation:
You know that you can write your polynom this way : (x-r1)(x-r2)(x-r3) with r1,r2 and r3 the roots so you get :
(x+5)(x+4i)(x-4i)
Simplify (x+4i)(x-4i) with the formula (a-b)(a+b)=a²-b²
so you have (x^2+16)=(x+4i)(x-4i)
Your polynom looks like this :
(x^2+16)(x+5) just expand it
and you get x^3+5x^2+16x+80
if josh gives 13 fried fish and molly eats 10 how many left are there
Answer:
13-10=3 hence, the Q of ans is 3
Find the value of x. Write answer in simplest form.
Answer:
x=8
Step-by-step explanation:
x²+x²=(8 root2)²
2x²=128
÷2 on both sides
=x²=64
square root each side
so x=8
Apply Pythagorean theorem
P²+B²=H²x²+x²=(8√2)²2x²=(8√2)²2x²=128x²=128/2x²=64x=√64x=8
One natural number is 4 more than another one. The product of the two numbers is three times the square of the lesser
number. Find the numbers.
Answer:
2 and 6
Step-by-step explanation:
Each of 7 students reported the number of movies they saw in the past year. This is what they reported.
13, 8, 6, 6, 18, 11, 4
Find the median and mean number of movies that the students saw.
If necessary, round your answers to the nearest tenth.
(a) Median:
(b) Mean:
Answer:
A is 6
B is 9.4
Step-by-step explanation:
First you put the numbers in order. then you take the middle number of the data set. This is how you find the median. For the mean you add all of the number in the data set then divide by how many numbers are there
Due today pls helpp I will give brainlist
Answers:
jamal has 30 stickers in total.
chris has 7 stamps in each group.
Step-by-step explanation:
1. use multiplication, 6*5=30
2. use division, 56/8=7
hope this helped! ♡
Answer:
jamal has 30 stickers in total.
chris has 7 stamps in each group.
Step-by-step explanation:
Find the area of the figure.
Answer:
6 x 8 = 48
Step-by-step explanation:
can someone pls help me with this. WILL MARK BRAINLIEST
Answer:
The answer is D :)
Step-by-step explanation:
I think this because when you multiply the unit value of PR, 4, by 3 it equals 12, which is TVs, value. If you do the same to QP's unit value, 3, by 3 again, you will get UT's unit value, 9.
Have an amazing day!!
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Sancho paints the new sign for his bike shop. One quart of paint covers 200 square feet, and Sancho plans on applying three coats of paint. One quart of paint cost $8.97. What is the square footage of his sign and ow much must Sancho spend to paint the sign?
I will give crown thingy
A group of friends go out for a meal and the meal costs £148.
They are given a discount of 25% because of a mix-up on their orders.
How much discount did the group of friends receive?
£
How do you solve this
2x + 3 = 12
[tex]======================================[/tex]
In order to solve this equation, we should first subtract 3 from both sides:
[tex]\pmb{2x=12-3}[/tex]
Which equals
[tex]\pmb{2x=9}[/tex]
Divide both sides by 2
[tex]\pmb{x=\displaystyle\frac{9}{2} }[/tex]
[tex]======================================[/tex]
note:-Hope everything is clear; if you need any more explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
Answer:
If you are trying to find slope this is how you solve it.
Step-by-step explanation:
2x+3=12
-2x -2x
3=-2x+12
÷3 ÷3 ÷3
y=-2/3x+4
So if you are trying to find the slope it is -2/3x and the y intercept is 4.
I need help quick please
Angle A = 137
Angle B = 93
what is a quadrialateral?
A quadrilateral is four sided polygon. squares and rectangles are more common examples of a quadrilateral. Each quadrilateral has it's unique features however generally the sum of angles of a quadrilteral is 360
Introducing angle C such that
A + C = 180 (angle on a straight line)
C + 47 + 90 = 180 (sum of angles of a trianlge)
C = 180 - 90 - 47
C = 43
hence
A + 43 = 180
A = 180 - 43
A = 137
A + B + 90 + 40 = 360 (sum of angles of a quadrilateral )
37 + B + 90 + 40 = 360
B = 360 - ( 137 + 90 + 40 )
B = 93
Read more on quadrilaterals here: https://brainly.com/question/16691874
250 gram as a percentage of 1 kg
Hey there!
Answer: 25%
[tex] \rightarrow \: (\sf{ \frac{250}{1000} ) \times 100}[/tex]
[tex] \rightarrow \: ( \sf{0.25) \times 100}[/tex]
[tex] \rightarrow \: \sf{ = 25\%}[/tex]
Answer:
25%
Step-by-step explanation:
the quantities must have the same units
1 Kg = 1000 grams
express the quantities as a fraction and multiply by 100%
[tex]\frac{250}{1000}[/tex] × 100% = 0.25 × 100% = 25%
Find the mass of an object that has a weight of 910kg
Answer:
91kg
Step-by-step explanation:
weight= mass × gravitational force
910kg = m× 10ms^-2
m= 910÷ 10
m= 91