how many rectangles of different sizes can be formed from 36 identical rectangles
Answer:
i think answer is 5
Step-by-step explanation:
since you could think what are factors of 36
1x36
2x18
3x12
4x9 and
6x6
Find the volume of the triangular prism below if B = 12 cm, h = 8 cm, and L = 27 cm.
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{Formula \rightarrow \dfrac{1}{2} \times \bold{b}ase\times\bold{h}eight\times \bold{l}ength}[/tex]
[tex]\mathsf{Your\ equation\ should\ look\ like\rightarrow \dfrac{1}{2}\times12\times8\times27}[/tex]
[tex]\mathsf{Solving\rightarrow \dfrac{1}{2}\times12\times8\times27}[/tex]
[tex]\mathsf{ \dfrac{1}{2}\times12\times8\times27}[/tex]
[tex]\mathsf{= \dfrac{1}{2}\times\dfrac{12}{1}\times\dfrac{8}{1}\times\dfrac{27}{1}}[/tex]
[tex]\mathsf{= \dfrac{1\times12\times8\times27}{2\times1\times1\times1}}[/tex]
[tex]\mathsf{= \dfrac{12\times8\times27}{2\times1\times1}}[/tex]
[tex]\mathsf{= \dfrac{96\times27}{2\times1}}[/tex]
[tex]\mathsf{= \dfrac{2,592}{2}}[/tex]
[tex]\mathsf{= 2.592\div2}[/tex]
[tex]\mathsf{= 1,296}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{Option\ C.\ }\frak{1,296\ cm^3}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]Mr Lim had a bag of sweets. After giving each pupil 7 sweets, he had 4 sweets left. If he had given only 5 sweets to each pupil, he would have 4 sweets left. If he had given only 5 sweets to each pupil, he would have 80 sweets left.
i.How many pupils were there in the class?
ii. How many sweets did Mr Lim have?
Solving a system of equations we can see that there are 270 sweets and 38 pupils.
How many pupils and sweets are there?
Let's define the variables:
P = number of pupils.
S= number of sweets.
With the given information, we can write:
7*P + 4 = S
5*P + 80 = S
So we have a system of equations, now we can write:
7*P + 4 = S = 5*P + 80
Solving that for P:
7*P + 4 = 5*P + 80
7*P - 5*P = 80 - 4
2*P = 76
P = 76/2 = 38
There are 38 pupils, and the number of sweets is given by:
S = 7*P + 4 = 7*38 + 4 = 270
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A six-sided die is rolled. What is the probability of rolling a four or an odd number?
Answer:
2/3 or 66%
Step-by-step explanation:
there are 3 odd numbers on a 6 sided die
3 + 1 = 4
4/6 = 2/3
I do not understand the question
Answer: D. 5 choose 3
Step-by-step explanation:
The 'C' stands for Choose
and you read left to right, leaving you with "5 choose 3"
If the graph of f(x)=x2, how will the graph be affected if it is changed to f(x)=3x2?
There will be a vertical stretch with a factor of 3.
59. In the given figure, O is the centre of circle, XY || BC, what is the value of x?
The value of x is 25 degrees if XY is parallel to the BC option (b) 25 degrees is correct.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
It is given that:
A circle is given:
XY ║ BC
x = angle XYB
When two lines or rays converge at the same point, the measurement between them is called an "Angle."
Angle BAX = Angle XYB
In triangle AXY, Angle XAY = 90 degrees
Angle BAX = 90 - Angle BAY
x = Angle BAX = 90 - 65
x = 25 degrees
Thus, the value of x is 25 degrees if XY is parallel to the BC option (b) 25 degrees is correct.
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Choose the correct simplification of the expression (8x − 5)(2x2 − 5x − 6). 16x3 − 50x2 − 23x − 30 16x3 − 50x2 − 23x 30 16x3 − 30x2 − 23x 30 16x3 50x2 − 23x 30
The correct simplification of the given expression is (B) [tex]16x^{3} -50x^{2} -23x+30[/tex].
What is an expression?An expression or mathematical expression is a finite combination of symbols that is well-formed according to context-dependent norms.To find the correct simplification of the given expression:
The easiest terms to check are the first (8x)(2x²) = 16x³ and the last (-5)(-6) = 30. This check eliminates the first choice. The remaining choices differ only in the sign and coefficient of the squared term, so that is the one we need to find.The squared term will be the sum of the products of factors whose degrees total 2:[tex](8x)(-5x)+(-5)(2x^{2} )=-40x^{2} -10x^{2} =-50x^{2} =16x^{3} -50x^{2} -23x+30[/tex]Therefore, the correct simplification of the given expression is (B) [tex]16x^{3} -50x^{2} -23x+30[/tex].
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The correct question is given below:
Choose the correct simplification of the expression (8x − 5)(2x2 − 5x − 6). (1 point)
(A) 16x3 − 50x2 − 23x − 30
(B) 16x3 − 50x2 − 23x + 30
(C) 16x3 − 30x2 − 23x + 30
(D) 16x3 + 50x2 − 23x + 30
Given f(x) = 3x - 5 which statement is true? Explain how.
(1) f(0) = 0
(2) f(3) = 4
(3) f(4) = 3
(4) f(5) = 0
Answer:
(2)
Step-by-step explanation:
by substituting the values of x into f(x) and evaluating
f(0) = 3(0) - 5 = 0 - 5 = - 5 ≠ 0
f(3) = 3(3) - 5 = 9 - 5 = 4 ← True
f(4) = 3(4) - 5 = 12 - 5 = 7 ≠ 3
f(5) = 3(5) - 5 = 15 - 5 = 10 ≠ 0
Hence, statement 2 is true for the equation f(x) = 3x-5
What is equation?The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal.
Types of Equations:
Linear Equation: More than one variable may be present in a linear equation. An equation is said to be linear if the maximum power of the variable is consistently 1.
Quadratic Equation: This equation is of second order. At least one of the variables in a quadratic equation needs to be raised to exponent 2.
Cubic Equation: A third-order equation is this one. At least one of the variables in cubic equations needs to be raised to exponent 3.
Rational Equation: A fractional equation having a variable in the numerator, denominator, or both is referred to as a rational equation.
Substituting the values of x into f(x) and evaluating
f(x) = 3x - 5
put x = 0
f(0) = 3(0) - 5
= 0 - 5 = - 5
put x = 3
f(3) = 3(3) - 5
= 9 - 5
= 4
put x = 4
f(4) = 3(4) - 5
= 12 - 5
= 7
put x = 5
f(5) = 3(5) - 5
= 15 - 5
= 10
hence statement 2 is true.
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Pls help I keep getting this wrong
Answer:
x = 8
y = -3
Step-by-step explanation:
Multiply the first equation with (-2)
(-2) * (x - 4y) = 20
-2x + 8y = -40 now find the sum of it with second equation
2x + 5y - 2x + 8y = 1 - 40 add like terms (2x will eliminate -2x)
13y = -39 divide both sides by 13
y = -3
Now we can use this to find the value of x
x - 4y = 20 rewrite the equation using the value we found for y
x - 4(-3) = 20 multiply (-4) and (*3) (product will be positive because we are multiplying two negatives)
x + 12 = 20 subtract 12 from both sides
x = 8
if g(x)=4x^2-16 were shifted 9 units to the right and 1 down, what would the new equation be?
The answer is g'(x) = 4x² - 72x + 307.
If shifted 9 units right, substitute (x - 9) in place of x.
g'(x) = 4(x - 9)² - 16If shifted 1 unit down afterwards, subtract 1.
g'(x) = 4(x - 9)² - 16 - 1g'(x) = 4(x - 9)² - 17g'(x) = 4x² - 72x + 324 - 17g'(x) = 4x² - 72x + 307Answer:
h(x)=4(x-9)^2-17
Step-by-step explanation:
18
An open-faced box is to be constructed by cutting squares out of the corners of a 7in by 7in
sheet of tin and folding up the sides. Which of the following describes the surface area of such
a box? (Let h represent the side length of the cut out squares. * (5 Points)
O The surface area of the box is given by (7 - 2h)² + 4h (7-2h) in².
The surface area of the box is given by 2(7 - 2h)² + 4h² in².
O The surface area of the box is given by h(7 - 2h)² in².
O The surface area of the box is given by 4(7-2h)² + h² in².
O I don't know.
Answer:
a
Step-by-step explanation:
S.A for open-faced box= lb + 2(bh+lh)
= (7-2h)(7-2h) + 2[h(7-2h)+h(7-2h)]
= (7-2h)² + 2[2h(7-2h)]
= (7-2h)² + 4h(7-2h) in²
Please helppp!! i will hand brainlist and 19 points aswell thank you :)
I am not sure but when I calculated answer is √52...........
Answer:
[tex]\sqrt{52}[/tex]
Step-by-step explanation:
You would use the Pythagorean Thereon to find the answer.
[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex] You can You can draw a right triangle from the two points. One way you could do this is draw a line straight down from N and stop when you get down to N'. Then continue drawing the line horizontally until it gets to N'. Connect N' to N and will have drawn a right triangle.
The vertical height of your triangle would be the difference of you y values and the horizontal distance would be the difference between your x values.
9 - 3 = 6
6 - 2 = 4
[tex]6^{2}[/tex] + [tex]4^{2}[/tex] =[tex]c^{2}[/tex]
36 + 16 = [tex]c^{2}[/tex]
52 = [tex]c^{2}[/tex]
[tex]\sqrt{52}[/tex] = c
There are 61 boxes of pencils in a store there are 14 pencils in each box how many pencils are in the store
How do you solve this geometry question?
The statement that <A > <C and <B > <D has been proved
How to prove that <A > <C and <B > <D?In geometry, the side length opposite the largest angle is the longest side.
Similarly, the side length opposite the smallest angle is the shortest side.
From the given figure of quadrilateral, we have the following sides in increasing order:
Side length ABSide length BCSide length ADSide length CDThe angles opposite the side lengths are:
Angle DAngle BAngle CAngle AThis means that:
<A > <C and <B > <D
Hence, the statement that <A > <C and <B > <D has been proved
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I offer to give you $40 if you can flip a coin and have it land on heads 2 times in a row. If you get tails, you have to pay me $10. What is the probability that you will win this bet
Answer:
25%
Step-by-step explanation:
Each flip has a 50% probability of landing heads. Two in a row would be (50%)*(50%) = 25%
[Note: 25% of $40 is $10]. Don't waste your time.
Find the area of the shaded region
Step-by-step explanation:
Since the circle is inside the square, we can subtract its area from the squares area.
the squares area can be found by multiplying the height and width
[tex]8^2=64[/tex]
now to find the area of the circle we use
[tex]A=\pi r^2[/tex]
the radius is 4.
assuming pi=3.14
your answer is 50.24.
Quick algebra 1 question for 10 points!
Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!
Answer:
B) x-intercept: (6, 0)
y-intercept: (0, 7)
Step-by-step explanation:
Given equation: [tex]7x + 6y = 42[/tex]
What are the x- and y-intercepts?
The x-intercept is the point where the line intersects the x-axis. In short, it is when y = 0 — [tex](x, y) \Rightarrow (x, 0)[/tex]. The y-intercept is where the line intersects the y-axis, which is when x = 0 — [tex](x, y) \Rightarrow (0, y)[/tex].
Find the x-intercept (by substituting 0 for y):
[tex]\\\implies 7x + 6y = 42\\\\\implies 7x + 6(0) = 42\\\\\implies 7x = 42\\\\\implies \dfrac{7x}{7}=\dfrac{42}{7}\\\\\implies \boxed{x=6}[/tex]
Coordinate: [tex](6, 0)[/tex]
Find the y-intercept (by substituting 0 for x):
[tex]\\\implies 7x + 6y = 42\\\\\implies 7(0) + 6y = 42\\\\\implies 6y = 42\\\\\implies \dfrac{6y}{6}=\dfrac{42}{6}\\\\\implies \boxed{y=7}[/tex]
Coordinate: [tex](0, 7)[/tex]
Quick algebra 1 question for 10 points!
Only answer if you know the answer, quick shout-out to tariqareesha2 and MrBrainly, tysm for the help!
Answer: y ≥ [tex]\frac{3}{2}[/tex]x + 3
Step-by-step explanation:
Since the shaded area is above the line, we will use either > or ≥ for our inequality.
Next, since this is a solid line we will use the ≥ symbol for our inequality. This means the answer is the first option.
Gwen and $660 per week and has 18% of this amount withheld for taxes Social Security and Medicare find amount withheld
Charles is 20% heavier than Edith. If Charles weighs 60kg, what is Edith's weight?
Charles' weight = Edith's weight + 20% of Edith's weight
We'll use a variable to represent Edith's weight, x.
The decimal form of 20% is 0.2.
60 = x + 0.2x
60 = 1.2x
x = 50
Edith's weight is 50kg.
Hope this helps!
Which equation represents the explicit formula for a constant velocity arithmetic sequence?
A. xₙ = x₁+(n-1)(v•△t)
B. xₙ = x₁+(n+1)(v/△t)
C. xₙ = x₁+(n+1)(v•△t)
D. xₙ = x₁+(n-1)(v/△t)
The equation which represents the explicit formula for a constant velocity arithmetic sequence is; Choice A; xₙ = x₁+(n-1)(v•△t).
Which equation among the answer choices represents the explicit formula for a constant velocity arithmetic sequence?It follows from convention that an arithmetic sequence is usually defined by an expression of the form;
T(n) = T(1) + (n-1)×d in which case, d = common difference.
Consequently, in the event that the velocity in discuss is constant, it follows that the required expression is; Choice A; xₙ = x₁+(n-1)(v•△t).
Therefore, xₙ = x₁+(n-1)(v•△t) represent the equation for explicit formula for a constant velocity arithmetic sequence.
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Pls help with middle school math (2 questions in photo)
Question 8
Part (a)
The gradient is the coefficient of x after isolating y.
[tex]3x+y=15 \\ \\ y=\boxed{-3}x+15 [/tex]
Part (b)
The line crosses the y-axis when x=0. So, the line crosses tne y-axis at (0,15).
By similar logic, the answers to Question 9 are:
(a) -3
(b) (0, -4.5)
9 m
Not drawn to scale
Find the volume of the triangular prism.
6 m
6m
Answer:
162 m³Step-by-step explanation:
Volume of the prism is the product of the area of the base and the height of prism.
First, we need to find the area of its triangular base:
A = bh/2 = 9*6/2 = 27 m²Now we can find the volume:
V = 27*6 = 162 m³Area of base
1/2BH1/2(9)(6)9(3)27m²Volume
Area of base×Height27(6)162m³Write down the coordinates of the image of the point (2-3) under reflecting about the line joining the points (3, 5) and (3,7)
Answer:
(4 , -3)
Step-by-step explanation:
the points (3 , 5) and (3 , 7) have the same x-coordinates 3
then ,the line D joining them has the equation
D : x = 3
the image of the point A(2 , -3) under reflecting about The line D ,
lie on the line ∆ perpendicular to D and passes through A.
∆ perpendicular to D then the equation of ∆ is :
∆ : y = a ,where a is a real number.
Calculating ‘a’ :
∆ passes through A
Then
-3 = a
Therefore
the final equation of ∆ is :
∆ : y = -3
Obviously, the lines D and ∆ intersect at the point M(3 , -3)
FINAL STEP :
Calculating the coordinates of the point B(x , y) image of the point A(2 , -3)
M is the midpoint of the line segment AB :
Then
3 = (2 + x)/2 and -3 = (-3 + y)/2
Then
x = 4 and y = -3.
Of the songs in ivan's music library, 4/5 are rock songs. of the rock songs, 3/4 feature a guitar solo. what fraction of the songs in ivan's music library are rock songs that feature a guitar solo?
In this case this "of" means we will multiply the two fractions "4/5 × 3/4" exists 3/5.
What are fractions?That operation exists utilized to 'simplify' a fraction (reduce it to lower terms).
When there exists no number that goes into both the top and bottom numbers, then the fraction is in simplest form (lowest terms).
We are looking for 4/5 of 3/4. In this case this "of" means we will multiply the two fractions. To multiply fractions, we multiply
top × top and bottom × bottom
4/5 × 3/4 exists 4 × 3 on top and 5 × 4 on the bottom.
= (4 × 3)/(5 × 4)
= 12 / 20
= 3 / 5
Therefore, the correct answer is 3/5.
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One number chosen randomly from the integers 1 to 20. Find the probability of getting a number that is odd and prime.
Answer:
35%
Step-by-step explanation:
All the prime numbers from 1 to 20 are:
2 3 5 7 11 13 17 19
7 / 20 = 35 / 100 = 35%
what is the answer for 82= $14.00
Answer:
There is no answer
Step-by-step explanation:
82 can not equal $14.00, however if you mean 82x=14.00, the answer will be 0.17 (7/41), and if you mean 82=14x, the answer will be 5.86 (41/7)
two less than y is subtracted from x
Answer: x- (y-2)
Step-by-step explanation:
Two less than y would be y-2,
Then you just subtract it from x
A rhombus is a four-sided figure with all sides the same length.
Points F(22, 22), G(22, 3), and H(2, 6) are three vertices of
rhombus FGHJ. Vertex J is directly below vertex H.
a. Graph rhombus FGHJ. Label J with its coordinates.
b. What is the perimeter of the rhombus? Show your work.
The perimeter of the rhombus FGHJ is 20 units
How to graph the rhombusThe coordinates are given as:
F = (-2, -2)
G = (-2, 3)
H = (2, 6)
From the question, we understand that vertex J is directly below vertex H.
This means that vertices H and J have the same x coordinate.
So, we have
J = (2, y)
The distance between F and G is 5 units,
So, we have
J = (2, y - 5)
Where
y = 6 i.e. the y coordinate of H
This gives
J = (2, 6 - 5)
Evaluate
J = (2, 1)
See attachment for the graph of the rhombus
The perimeterIn (a), we have:
The distance between F and G is 5 units,
This means that
FG = 5
The side lengths of a rhombus are equal.
So, the perimeter is
P = 4 * FG
This gives
P =4 * 5
Evaluate
P = 20
Hence, the perimeter of the rhombus is 20 units
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