Step-by-step explanation:
1) The area of rectangle is ( 30x²y + 20xy ) cm² and its breadth is 10xy cm .Find its length....
= Solution ,
Length ( L ) = ?
breadth ( b ) = 10xy cm
area ( a ) = ( 30x² + 20xy )
Now ,
area ( a ) = l × b
or, ( 30x²y + 20xy ) = L × 10xy cm
[tex]or,\frac{30 {xy + 20xy}^{2} }{10xy} = l \\ [/tex]
[tex]or, \: l = 3 {x}^{2 - 1} + 2cm[/tex]
[tex]\boxed{\sf{l = (3x+2)cm}}[/tex]
2) Subtract the quotient when 20x⁴y² is divided by 5x³y from the product of 2x and 3y.
= Solution,
[tex] = \frac{20 {x}^{4} {y}^{2} }{5 {x}^{3} y} \\ [/tex]
[tex] = 4xy[/tex]
The product of 3x and 4y = 6xy
= 6x - 4xy
[tex] = \boxed{\sf {2xy}}[/tex]
hope it helped !!!!
5) Paul invests $3,092 in a savings account
with a fixed annual interest rate
compounded 4 times per year.
After 9
years,
the balance reaches $4,835.71.
What is the interest rate of the account?
Answer:
R = 5% per year
Step-by-step explanation:
Solving for rate r as a decimal
r = n[(A/P)^1/nt - 1]
r = 4 × [(4,835.71/3,092.00)^1/(4)(9) - 1]
r = 0.05
Then convert r to R as a percentage
R = r * 100
R = 0.05 * 100
R = 5%/year
Summary:
The interest rate required to get a total amount of $4,835.71 from compound interest on a principal of $3,092.00 compounded 4 times per year over 9 years is 5% per year.
A particle moves along a hyperbola
xy = 12.
As it reaches the point (4, 3), the y-coordinate is decreasing at a rate of 3 cm/s. How fast is the x-coordinate of the point changing at that instant?
first off, let's notice that "x" and "y" are encapsulating a function in terms of time or namely "t", and that dy/dt is decreasing at a rate of 3 cm/s, since the rate is decreasing, that makes the rate negative, thus is changing at -3 cm/s.
[tex]xy=12\implies \stackrel{product~rule}{\cfrac{dx}{dt}y~~ + ~~ x\cfrac{dy}{dt}}~~ = ~~0\implies \cfrac{dx}{dt}y~~ + ~~x(-3)~~ = ~~0 \\\\\\ \cfrac{dx}{dt}y=3x\implies \left. \cfrac{dx}{dt}=\cfrac{3x}{y} \right|_{(\stackrel{x}{4},\stackrel{y}{3})}\implies \cfrac{3(4)}{3}\implies 4[/tex]
Complete the frequency table for the following set of data. You may optionally click a
number to shade it out.
12, 4, 11, 3, 4, 0, 13, 13,
2, 6, 11, 0, 10, 11, 3, 4,
0, 10, 13, 2, 11, 9
12=1
4=3
11=4
3=2
0=3
13=3
2=2
6=1
10=2
9=1
A rectangle is 8 meters long and 5 meters wide. The area of the rectangle is square meters. The solution is
Answer:
40 square meters
Step-by-step explanation:
Length of rectangle = 8 m
Width of rectangle = 5 m
A(rectangle) = Length * Width
-> A(rectangle) = 8*5
-> A(rectangle) = 40 square meters
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
(49,-56)
Step-by-step explanation:
I not sure but scale factor show the magnitude therefore you multiply by the scale factor to get the image.
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
8.9
Step by Step Explanation:
[tex]x =6 \: { \tan} \: 56 \degree \\ \\ \implies \: x = 8.8953658111\\ \\ \implies \: x \approx 8.9[/tex]
Tina poured 2/3 of the juice from a 2 litter bottle while serving guests at a banquet. How many juice, in liters, is still left in the bottle?
1.3333l
hope it helps...!!!
Circle K has an area of 80 cm^2. Circle M has a radius that is 2 times the radius of Circle K. What is the area of Circle M?
Answer:
Two shapes are similar when they have the same shape while their sizes may be the same or different
Therefore, two similar shapes are shapes that have a relationship such that the dimensions of one of the shapes can be obtained from the dimensions of the other shape by multiplying by a scale factor
All circles have the same shape and are defined by their center and radius
Given circle with center at 'x' and radius 'r' and circle with center 'y' and radius 's', then there exist a scale factor a = s/r such that we have;
r × a = s
Where a = s/r, we get;
r × s/r = s
We can therefore, obtain a circle with with the same size as the circle with center 'y' and radius 's' by multiplying the radius of the circle with center at 'x' and radius 'r' by a
Therefore the circle with center at 'x' and radius 'r' is similar to the circle with center 'y' and radius 's'Step-by-step explanation:
How many edges are there in a cube
Answer:
12
Step-by-step explanation:
If anyone can answer these 4 questions it would be greatly appreciated beyond words can describe
Answer:
answer your own
brainliest me now
A regular hexagon is dilated by a scale factor of 4/3 to create a new hexagon. How does the perimeter of the new hexagon compare with the original perimeter?
oPTIONS:
The perimeter of the new hexagon is 4/3 the perimeter of the original hexagon.
The perimeter of the new hexagon is 12/3 the perimeter of the original hexagon.
The perimeter of the new hexagon is 16/3 the perimeter of the original hexagon.
The perimeter of the new hexagon is 16/9 the perimeter of the original hexagon.
Answer:
When a figure is dilated by a scale factor of a/b, then the new perimeter is a/b of the original perimeter and the new area is a 2 b 2 of the original area. Therefore, if the hexagon is dilated by a scale factor of , then the new perimeter is of the original perimeter.
An ice cream truck was parked near a beach, and some kids ran to it and formed a line. Then, more kids joined the line by filling in each empty space between the kids in the original line. This happened two more times before the ice cream truck driver finally came back from his lunch break, and there were 49 kids in line. How many kids were in the first line?
Answer:
7
Step-by-step explanation:
So, we know that this process happened 3 times in total. The original amount of kids we can call x, so the next wave filled in the gaps inbetween, so we call that amount x-1, the next wave would be (x+x-1)-1 or 2x-2, and the last would be 4x-4
adding this all up we get 8x-7=49, so 8x = 56 or x = 7
Any polygon can be the base of a prism?
A. True
B. False
Answer:
the answer is true
Step-by-step explanation:
any polygon is based on a prism so the answer will always be true no matter what polygon. pls mark me brainliest i need it. hope this helped.
Find the value of x. Round your answer to the nearest tenth
Answer:
13.8
Step-by-step explanation:
Let us use tan theta to find the value of x.
tan Θ = Opposite ÷ Adjacent
Given that,
Opposite ⇒ 12
Let us solve it now.
tan Θ = Opposite ÷ Adjacent
tan 41 = 12 ÷ x
0.8692 = 12 ÷ x
x = 12 ÷ 0.8692
x = 13.80
x ≈ 13.8
please Hurryyy
Triangle HIJ has side lengths h=12, i = 17, j = 7. What is the measure of angle J?
35.4°
16.0⁰
124.8*
19.8°
The measure of angle J is 19.8°, and the correct option is D.
What is the formula of cosine?The law of cosine or cosine rule in trigonometry is a relation between the side and the angles of a triangle. Suppose a triangle with sides a, b, c and with angles cosC.
The following formula is used to find the angle j is;
[tex]\rm j^2 = h^2 + i^2 -2hicosC[/tex]
Triangle HIJ has side lengths h=12, i = 17, j = 7.
Substitute all the values in the formula;
[tex]\rm j^2 = h^2 + i^2 -2hicosJ\\\\(7)^2=(12)^2+(17)^2-2 \times 12 \times 17 cosJ\\\\49=144+289-408cosJ\\\\144+289 -49 =408cosJ\\\\384 =408cosJ\\\\cosJ=\dfrac{384}{408}\\\\cosj = 0.94\\\\J =cos^{-1}(0.94)\\\\J=19.8[/tex]
Hence, the measure of angle J is 19.8°, and the correct option is D.
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Which of the following could be the lengths of the sides for a triangle that is
similar to the one shown?
12
16
24
O A. 16, 18, and 48
OB. 12, 24, and 48
OC. 4, 6, and 14
D. 6, 8, and 12
Answer:
D
Step-by-step explanation:
6x2 is 12
8x2 is 16
12x2 is 24
the scale factor is x2
PLEASE help ………………….
Answer:
1st Part: Infinitely many solutions
2nd Part: Exactly one solution
3rd Part: No Solutions
Step-by-step explanation:
First Part: 4(x - 1) = 4x - 4
Distribute. 4x - 4 = 4x - 4
Because the equations are the same, any value can be substituted for x and both the equations' values would still be equivalent.
2nd Part:
x + 4 = 4(x + 1)
x + 4 = 4x + 4
Minus 4 both sides
x = 4x
Only 0 can make this equation true, meaning it only has ONE solution.
Third Part:
4x + 1 = 4(x - 1)
Distribute.
4x + 1 = 4x - 1
Subtract 4x both sides
1 = -1
Obviously, 1 and -1 are not equivalent, meaning there are no value that can be substituted for x to make this equation true.
Write a percent proportion and sa
22 is 44% of what number?
Describe how the graph of the function is related to the graph of its parent function.
y=-2X+1
O A Reflected across the y-axis and shifted up 1 unit
shirjeno
OB. Reflected across the x-axis and shifted up 1 unit
O C. Reflected across the y-axis and shifted to the right 1 unit
O D. Reflected across the x-axis and shifted to the right 1 unit
Answer:
B
Step-by-step explanation:
The -2 reflects across the x -axis
The + 1 shifts it up one unit
In a village, 80% of the houses have straw roofs
and 34% of the houses have no electricity. A
quarter of the houses with straw roofs has no
electricity: What percentage of the houses has
nelther straw roofs nor electricity? 5 marks
Answer:
20%
Step-by-step explanation:
I can’t comment on anything on brainly. I think I’ve been banned forever
Answer:
Thats fun try on this one
Step-by-step explanation:
Brainlyist?
What value of x makes this equation true? -24 = 6 + x
Answer:
x = -30
Step-by-step explanation:
-24 = 6 + x
we'll subtract 6 to get x alone:
-24 - 6 = x
-30 = x
____________
then to check, we plug it back in
-24 = 6 + (-30)
-24 = -24 true! so -30 is right :)
Answer:
-30
Step-by-step explanation:
You can backtrack to find x:
-24-6=-36
-30+6=-24
What is the cost of six filters if eight filters cost $39.94
Answer:
29.95
Step-by-step explanation:
You need to divide 39.94 by 8 to find the value of each filter and then multiply the cost of one by 6.
The subtotal for a TV was $950.00. What does that mean
The cost of the TV after taxes and other fees are added to it.
The cost compared to similar TV’s in different stores.
The total cost for the TV.
The cost of the TV before taxes and other fees are added to it.
The subtotal for a TV was $950.00. so it is the cost of the TV before taxes and other fees are added to it.
What is subtotal?Subtotal is defined as the actual cost of any product when there will not be any taxes or charges are levied on the product.
The subtotal for a TV was $950.00. so it is the cost of the TV before taxes and other fees are added to it.
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Which computation should be done last 2x9 -3x5+4?
answer asap and only if yk 100% its correct
Answer:
6
Step-by-step explanation:
the answer is 6 because to solve for perimeter you just need to add up all the sides. so 2.4+2.1+1.5=6
there are two hydrogen atoms and one oxygen atom in a water molecule. complete the table, and graph the ordered pairs on the coordinate graph.
Answer:
______ allows data to be transmitted by the computer in ahu-man-of riendly from
Lucy is counting by 2s. She starts with the number 2 and stops at the number 50.
Which number would Lucy not count?
A 11
B 22
C 34
D 48
The number which Lucy did not count is A = 11
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Lucy is counting by 2s, starting with 2, which means that she is counting all even numbers between 2 and 50.
To find the number that Lucy would not count, we need to find the odd number between 2 and 50.
On simplifying the equation , we get
The odd numbers between 2 and 50 are: 3, 5, 7, 9, 11, 13, 15, 17, 19, 21, 23, 25, 27, 29, 31, 33, 35, 37, 39, 41, 43, 45, 47, and 49.
Hence , Lucy would not count the even number that corresponds to the odd number 11
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Jayden has plantains and pineapples in a ratio of 35:270. How many pineapples does he have if he has 7 plantains?
would the sequence 5,11,18,26 be arithmetic/ geometric or neither
arithmetic: common difference
geo: common ratio
neither: how if the pattern obtain ?
Answer:
Neither: The pattern is (1/2)n^2 + 4.5n
Step-by-step explanation:
You can use quadratic regression to figure it out