The number of small tiles are needed is 300 tiles.
Number of tiles neededUsing area of rectangular formula
Area of the room = length(l) × breadth (b)
Area of the room=300 cm×180 cm
Area of the room=54,000 cm²
Number of tiles needed = Area of rectangular region / Area of one tile
Number of tiles needed=54,000/180
Number of tiles needed=300 tiles
Therefore the number of small tiles are needed is 300 tiles.
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What is the additive inverse of the complex number –8 + 3i?
–8 – 3i
–8 + 3i
8 – 3i
8 + 3i
The additive inverse of the complex number –8 + 3i will be 8 – 3i. Then the correct option is C.
What is Additive Inverse?To produce an answer equal to 0, additive inverse simply entails switching the sign of the quantity and adding it to the original figure.
The complex expression is given below.
⇒ –8 + 3i
Then the additive inverse of the complex number will be
Let x be the additive inverse of the complex number.
Then we have
x + (–8 + 3i) = 0
x = –(–8 + 3i)
x = 8 – 3i
Then the correct option is C.
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Answer:
C
Step-by-step explanation:
Edge 2022
find the values of y
y² =225
A bag contains 1 blue, 2 green, 3 yellow, and 3 red marbles, as shown.
What is the probability of drawing a red marble out of the bag without looking?
19
29
Answer:
1/3 or 33%
Step-by-step explanation:
What is the solution(s) to the system of equations y = x² +4 and y = 2x + 4
Answer:
[tex](x,y) = (0,4)~ \text{and}~ (x,y) = (2,8)[/tex]
Step by step explanation:
[tex]y = x^2 +4~~~~~~~~~...(i)\\\\y = 2x +4~~~~~~~~~...(ii)\\\\\text{From (i) and (ii):}\\\\~~~~~~x^2 +4 = 2x+4\\\\\implies x^2 = 2x\\\\\implies x^2 -2x = 0\\\\\implies x(x-2) = 0\\\\\implies x =0,~ x = 2[/tex]
[tex]\text{Substitute x = 0 in eq (i):}\\\\y = 0^2 +4 = 4\\\\\text{Substitute x = 2 in eq (i):}\\\\y=2^2+4 = 4+4 = 8\\\\\text{Hence,}~ (x,y)= \{(2,8), (0,4)\}[/tex]
Jack walked up a hill at a speed of $(x^2-11x-22)$ miles per hour. Meanwhile, Jill walked a total distance of $(x^2-3x-54)$ miles in $(x 6)$ hours. If Jack and Jill walked at the same speed, what is that speed, in miles per hour
Jack and Jills' speed in miles per hour is 4
How to determine the speed in miles per hour?The given parameters are:
Jack speed = x^2-11x-22
Jill distance = x^2-3x-54 and time = x + 6
Speed is calculated as:
Speed = Distance/time
So, we have:
Jill speed = x^2-3x-54/x + 6
Factorize the numerator
Jill speed = (x + 6)(x - 9)/x + 6
Cancel the common factor
Jill speed = x - 9
Both speeds are equal.
So, we have:
x^2-11x-22 = x - 9
Collect like terms
x^2-11x - x -22 + 9 = 0
Evaluate
x^2 - 12x - 13 = 0
Factorize the expression
(x + 1)(x - 13) = 0
Solve for x
x = -1 or x = 13
x cannot be negative.
So, we have:
x =13
Substitute x =13 in Jill speed = x - 9
Jill speed = 13 - 9
Evaluate
Jill speed = 4
Hence, their speed in miles per hour is 4
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What is the slop and the y-intercept of the line with the given equation: -x+4y= -24?
Answer:
Slope: 1/4
y - int: (0,-6)
Step-by-step explanation:
-x+4y=-24
4y = -24+x
y=1/4 * x - 6
The vertices of a triangle are A(2,5), B(1, 2), and C(3, 1). Find the coordinates of the image after a dilation with respect
to the origin using a scale factor of 2 and then a translation 2 units left and 1 unit up.
A" (). B" (). c" ()
The coordinates of the image after a dilation with respect to the origin is A'' (2,10), B" (0,4), C" (4,2) .
How does dilation work?Dilation of a figure will leave its sides get scaled (multiplied) by same number. That number is called the scale factor of that dilation.
Its also called scaling of a figure, but due to the involvement of coordinates, it involves a center of a dilation, which is like a pinned point that stays at the same place after dilation.
Its like we enlarge or shorten the size of the figure (or keep it same, when scale factor = 1).
The vertices of a triangle are A(2,5), B(1, 2), and C(3, 1).
A' = 2(2.5) = (4,10)
B' = 2(1,2) = (2,4)
C' = 2(3,1) = (6,2)
Translation of 2 units left means change in x
A'' = (4-2,10) = (2,10)
B" = (2-2,4) = (0,4)
C" = (6-2,2) = (4,2)
Translation of 1 units up means change in y
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Help me please!!! 10 points!!
Answer:
2√3
Step-by-step explanation:
The shown triangle is a 30-60-90 special right triangle due to the right angle and the thirty degree angle(the other angle has to be 60 degrees).
The hypotenuse of a 30-60-90 triangle is twice the leg opposite the 30 angle. The leg opposite the 30 degree angle is √3, so x would be 2√3.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve for x ~
We can apply Trigonometric ratios here, since the given triangle is a right angled triangle
so,
[tex]\qquad \sf \dashrightarrow \: \sin(30) = \dfrac{ \sqrt{3} }{x} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{1}{2} = \dfrac{ \sqrt{3} }{x} [/tex]
[tex]\qquad \sf \dashrightarrow \:x = 2 \times \sqrt{3} [/tex]
[tex]\qquad \sf \dashrightarrow \:x = 2 \sqrt{3} [/tex]
i hope you you understood
Translate Triangle A by vector (3, -1) to give triangle B.
Then, rotate your triangle B 180° around the origin to give triangle C.
Describe fully the SINGLE transformation that maps triangle A onto triangle C.
Answer:
Translation as Triangle A has been translated by vector (3,-1) to now being (-2,-3)
Translation as Triangle A has been translated by a vector (3,-1) to now being (-2,-3).
What is translation?The process of changing the location of the image on the coordinate system will be known as the translation.
A translation in mathematics does not turn a shape; instead, it moves it left, right, up, or down. They are congruent if the translated shapes (or the image) seem to be the same size as the original shapes. They have merely changed their direction or directions.
Given that Translate Triangle A by a vector (3, -1) to give triangle B. Then, rotate your triangle B 180° around the origin to give triangle C.
Triangle A translation ⇒ (3,-1)
The second translation = (-2,-3).
Therefore, the translation as Triangle A has been translated by a vector (3,-1) to now being (-2,-3).
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The value of the car is depreciating at a rate of 2.33% per year. at the same of purchase the car was worth $35,098. how much will the car be worth in 13 years?
Answer:
Step-by-step explanation:
A = P(1-r)^n
A = 35098(1-2.33%)^13
= $25 833.18
A square pyramid has a base with sides of length x inches and a height of 6 inches. which expression
represents the volume of the pyramid in cubic inches?
Answer:
length • width = area
expression:
area • height = (result) • 1/3 = volume
Example:
x (area) • 6 (height) = 6x
6x • 1/3 = 2x(inches)³ or 6x ÷ 3 = 2x(inches)³
What is the midpoint of FB
Point L is the midpoint
The midpoint is halfway between the two points. In this case, Point F and Point B are 10 units away from each other. The midpoint is the distance between the points (10) divided by 2.
Write the product using exponents.
(-6)x(-6)x(-6)
The expression is
Answer:
(-6)³z² or -6³z²
Step-by-step explanation:
An exponent is used to signify the number of times a factor appears in a product.
__
In the expression (-6)·(-6)·(-6)·z·z, the factor (-6) appears 3 times, and the factor z appears 2 times. Written with exponents, this could be ...
(-6)³z²
_____
Additional comment
We can simplify this by realizing the product of the constant factors will be negative. (There is an odd number of minus signs.) The expression can also be written as ...
-6³z²
The version with (-6) being cubed is a more direct translation to the use of exponents.
What is a divided by a% of a?
Answer:
[tex]\frac{100}{a}[/tex]
Step-by-step explanation:
Hello!
a% is the same as [tex]\frac a{100}[/tex].
a% of a can be found by multiplying them both, giving us [tex]\frac {a^2}{100}[/tex]
Solve:[tex]\frac{a}{\frac{a^2}{100}}[/tex][tex]a * \frac{100}{a^2}[/tex][tex]\frac{100a}{a^2}[/tex][tex]\frac{100}{a}[/tex]The value of the expression is [tex]\frac{100}{a}[/tex]
Triangle DEF has vertices D(0,2) , E(2,4) , and F(4,0) . Graph the image of the triangle after a reflection across the x-axis, followed by a dilation by a scale factor of 1.5.
The attached figure represents the image of the triangle after a reflection and a dilation
How to determine the image of the triangle?The vertices are given as:
D(0,2) , E(2,4) , and F(4,0) .
The transformations are given as:
Reflection across the x-axisDilation by a scale factor of 1.5.The rule of reflection across the x-axis is
(x,y) -> (x,-y)
So, we have:
D' = (0,-2)
E' = (2,-4)
F' = (4,0)
The rule of dilation by a scale factor of 1.5 is:
(x,y) -> 1.5(x,y)
So, we have:
D'' = 1.5 * (0,-2) = (0,-3)
E'' = 1.5 * (2,-4) = (3,-6)
F'' = 1.5 * (4,0) = (6,0)
See attachment for the image of the triangle
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Triangle FGH is formed by connecting the midpoints of the side of triangle CDE The lengths of the sides of triangle FGH are shown. Find the perimeter of triangle CDE. Figures not necessarily drawn to scale.
Answer: 36
Step-by-step explanation:
By the triangle midsegment theorem, CE=16, CD=10, and ED=10.
So, the perimeter of triangle CDE is 10+10+16=36
HELP PLEASE ‼️‼️‼️‼️ I WILL MARK BRAINLIEST
Answer:
102
Step-by-step explanation:
HELP ASAP 50 POINTS
this week Raj scored five points less than twice the number of points he scored last week. he scored 25 points this week. which equation could be used to find X, the number of points scored last week.
A 2x - 5 = 25
B 2x + 5 = 25
C 2x + 25 = 5
2x = 35 - 5
Answer:
A.
Step-by-step explanation:
It says he scored five points less than twice the number of points he scored last week.
2x-5=25
the 2x represents the number of points last week.
the -5 represents the five points less.
the number 25 is the points this week.
Hope this helps!
If not, I am sorry.
In which number does the digit 1 have a value that is ten times as great as the value of the digit 1 in the number 215,784?
The number that the digit 1 has a value that is ten times as great as the value of the digit 1 in the number 215,784 is 2.
What is place value?Place value can be defined as the value that's represented by a digit on the basis of the position of the digit.
It should be noted that the value of the digit 1 in 215784 is 10000. On the other hand, the value of 2 is 200000. It's in hundred of thousands. Therefore, it's 10 × (10000).
Therefore the digit is 2.
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Answer:
it is 103,748
Step-by-step explanation:
because it was wrong when I pressed 15,839
Which are correct representations of the inequality -3(2x-5) <5(2-x)? Select two options.
x<5
-6x-5<10-x
-6x + 15 < 10-5x
5> ( number line )
-5< ( number line )
Given the Equation y squared-Ay-6=0, where A is a constant, find the solutions for y in terms of A
Answer:
do u still need help with this
Find the slope of -8yx+5y=0
Answer:
0
Step-by-step explanation:
0, it is a flat line on a graph
A pigeon was sitting 40 feet from the base of a telephone pole and flew 50 feet to reach the top of the pole. How tall is the telephone pole?
Answer:
90 feet
Step-by-step explanation:
40 + 50= 90 feet.
40 feet from the base is 40 feet high and 50 feet up is this equation.
Hope it helps sry if I’m wrong
Answer:
24 ft
Step-by-step explanation:
50 ^ 2 - 40 ^ 2 = b^2
2500 - 1600 = b^2
900 = b^2
√900 = √b^2
24 = b
How do I know AM is congruent to segment CM?
Answer:
Because Rhomboids have adjacent sides that makes it equal, and also both sides have the same meeting point which is M.
Step-by-step explanation:
What’s the inequality of x-3>8
Answer:
x>11
Step-by-step explanation:
To simplify this inequality, we add 3 from both sides to get x-3+3>8+3. Since -3+3 cancels out to 0, we are left with x>8+3. 8+3=11 so x>11.
Hope this helps! If you need further explanation let me know :)
Figure BORT- Figure XZGJ. What are the pairs of congruent angles?
Answer:
First option.
Step-by-step explanation:
Look at the position of letters, you don't really need to look at the picture.
BQRT ~ XZGJ means figure BQRT is similar to figure XZGJ and congruent angles are written in same order.
So first letter of BQRT is B and first letter of XZGJ is X.
That means that angle B is congruent to angle X.
You can write that as: ∠B ≅ ∠X
Second letter of BQRT is Q and second letter of XZGJ is Z.
Angle Q is congruent to angle Z.
∠Q ≅ ∠Z
And same for last two pairs of angles.
Final answer:
∡B ≅ ∡X, ∡Q ≅ ∡Z, ∡R ≅ ∡G, ∡T ≅ ∡J
Emma earned a grade of 95% on her multiple choice history final that had a total of
180 problems. How many problems on the final exam did Emma answer correctly?
Answer:
171
Step-by-step explanation:
180×95/100
180×95=17100
17100/100=171.
That is how I got my answer.
The total length of a road trip was 18.4 hours. If highway signs are posted every 0.08 hours, including one at the end of the road trip, how many highway signs will there be on the road trip?
There are 230 highway signs during road trip.
What is length?Length is defined as the act of measuring the length of objects in some specified units which can be standard or non-standard.
Here, The total length of a road trip = 18.4 hours.
Highway signs are posted = after every 0.08 hours.
To find: Number of highway signs.
The number of highway signs is found = 18.4 / 0.08 = 230.
Thus there are 220 highway signs available during the road trip.
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Find the area of this circle. Use 3 for π.
A = πr²
r=10 cm
Answer:
A ≈ 300 cm²
Step-by-step explanation:
Area of a circle: πr² (where r is the radius)
π (pi) ≈ 3r (radius) = 10 cmSubstitute the given values into the formula:
⇒ A = πr²
⇒ A ≈ (3)(10)²
⇒ A ≈ 3(100)
⇒ A ≈ 300 cm²
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Hey there!
[tex] \red{\underline{\bold{\blue{Area \: of \: a \: circle}}}} [/tex]
[tex] \\ [/tex]
Answer :[tex] \red{\boxed{\bold{\blue{A \approx 300{cm}^{2}}}}} [/tex]
Explanation:The area of a circle is calculated using the following formula :
[tex] \sf{\blue{A} = \orange{\pi} \times \red{r}^{2}} \\ \sf{where \: \red{r}\: is \: the \: radius \: of \: the \: circle} [/tex]
⇢Here, we consider that π = 3 but in reality, π ≈ 3 replace [tex] \orange{\pi} [/tex] with 3 and [tex] \red{r} [/tex] with 10 :
[tex] \sf{\blue{A} = \orange{\pi} \times \red{r}^{2} } \: \: \: \\ \sf{\blue{A} \approx \orange{3} \times \red{10}^{2} } \\ \sf{\blue{A} \approx \orange{3} \times \red{100} } \\ \green{ \boxed{\sf{\blue{A} \approx300{cm}^{2}}}} [/tex]
⇒Therefore, the area of the circle is about 300cm².
[tex] \\ [/tex]
please help me need the answer before 3:00
Answer:
26cm
Step-by-step explanation: