Answer: 261 cm²
Step-by-step explanation: 87 x 3 = 261
Answer:
783 cm²------------------------------
The area is the function of two dimensions.
The scale factor is 3. It means each dimension is 3 times greater.
Therefore the surface area is 3*3 = 9 times greater:
S(B) = 9*S(A) = 9*87 = 783 cm²............ i need help past due
Answer and explain for 10 points!
Answer: 100
Step-by-step explanation:
To solve this expression, we can start by performing the operations inside the parentheses first:
560 divided by 7 + 140 divided by 7
= 80 + 20
= 100
So the result of the expression is 100.
I hope this helps! Let me know if you have any questions.
40-(-16)=
Can someone help me with this please I really am confused
Answer:
56
Step-by-step explanation:
When you subtract a negative number. Just consider it addition.
So, 40+16
It's very simple from there.
Answer:
56!
Step-by-step explanation:
The question is 40 minus negative 16.
When you subtract a negative, it's the same as adding.
So 40 - (-16) is the same as 40 + 16, which equals 56.
Example:
If you have 3 apples, and you remove negative 3 apples from 3, now you have 6.
So, 3 - (-3) = 6.
Hobi mows two lawns. The first lawn is 7 feet long and 3 feet wide.
The area of the second lawn is 4 times as big but has the same
width as the first.
What is the length of the second lawn?
Answer:
28 feet long
Step-by-step explanation:
we find the area of the first lawn using recent angle formula (l)(w)=a
(7)(3)
21
Now we multiply this by 4 since the second lawn is four times it
21x4
84
Now we rearrange the rectangle area formula to where length is what we are trying to find
a=(l)(w)
/w. /w
a/w=l
Now we fill in this formula
84/3=a
28
Hopes this helps
What is the value of x?
Enter your answer in the box.
Step-by-step explanation:
angle bisector theorem :
the ratio of the 2 baseline segments is the same as the ratio of the 2 legs of the main triangle.
in our case :
44.8/56 = (x + 4)/35
x + 4 = 44.8×35/56 = 44.8×5/8 = 28 mm
x = 24
FYI : one way of explaining the theorem is : we could see this as 2 projections originating from E at the same angle but onto a tilted projection screen.
the length on the projection screen (HD or GD) is directly related to the distance from the projection point to the end of the tilted projection : ED or EG. and so the ratios of both projections must be equal (due to the equal angle).
so, in our case
35/56 = (x + 4)/44.8
which leads, of course, to the same result
44.8×35/56 = x + 4
PLEASE HELP ILL GIVE BRAINLIEST AND STUFF!!!!!
Answer:
The distributions of the income of the 3 states are pretty similar. The highest income in Maine is 50s, in Indiana it is pretty evenly spread out and Connecticut is highest in 60/70 and has multiple stragglers in 170 - 200 and a few near 300. The main place where most of the plot points are is 10 - 150.
Not completely sure if this helps, but I hope it does.
Fabio and Carlos play on a basketball team together. In the last game, Fabio had 7 points less than 2 times as many points as Carlos. Fabio scored 31 points in the game. How many points did Carlos score?
Carlos points are 12
Let , Fabio points = x= 31
Carlos points = Y
Fabio had 7 points less than 2 times as many points as Carlos.
X = 2Y - 7
X = 2Y - 7
X + 7 = 2Y
Y = (x + 7)/2
X = (31 - 7)/2
x = 24/2
X = 12
Carlos points are 12
To learn more about other example:
https://brainly.com/question/839610?referrer=searchResults
You ask your best friend to lend you 200 to buy your favourite toy. She says she can lend you the money
only if you give her an extra 2 for every month that passes before you return it.
What is the annual rate of interest she is charging you?
The annual rate of interest she is charging you is 12%.
Given that, you ask your best friend to lend you $200 to buy your favorite toy.
What is the rate of interest?An interest rate tells you how high the cost of borrowing is, or high the rewards are for saving. So, if you're a borrower, the interest rate is the amount you are charged for borrowing money, shown as a percentage of the total amount of the loan.
Here,
Extra money per month =$2
Extra money per year = $2×12
Extra money per two year = 2×2×12 = 4×12 = $48
Money lend = $200
Money given after two years = $(200+48) = $248
Now, the rate of interest can be find using SI=(P×R×T)/100
48= (200×R×2)/100
⇒ 48= 4R
⇒ R=12%
Hence, the annual rate of interest she is charging you is 12%.
To learn more about the rate of interest visit:
brainly.com/question/28236069.
#SPJ1
"Your question is incomplete, probably the complete question/missing part is:"
You ask your best friend to lend you $200 to buy your favorite toy. She says she can lend you the money only if you give her an extra $2 for every month that passes before you return it. What is the total amount you must pay her if you return it after two years? rupees What is the annual rate of interest she is charging you?
Help me please with this math question find the equation that matches this table
The equation that matches this table is X=Y*k,k=12, Hence Given table is direct variation.
What is Direct variation?X=12,Y=1
X=Y*kk=12=1*12=12X=24,Y=2
X=Y*kk=12=2*12=24 and so on.The relationship between two variables in which one is a constant multiple of the other is referred to as direct variation. For instance, two variables are said to be in proportion when one affects the other. b = ka is the equation if b is directly proportional to a. (where k is a constant). When two variables are coupled in a way that ensures the ratio of their values never changes, this relationship is referred to as being in direct variation. Different mathematical structures are used to express direct variation. Since the ratio of y to x never changes, y and x fluctuate directly in equation form.As follows is the Direct Variation Formula:X=KYTo learn more about direct variation refer to:
https://brainly.com/question/2098610
#SPJ1
A jar contains three marbles; 1 yellow (y), 1 orange (o), and 1 red (r). Which list shows all the possible outcomes for choosing two marbles at random from the jar if the first marble is replaced after it is drawn?
The list that shows all the possible outcomes for choosing two marbles at random is yy, oo, ro, yo, oy, ry, yr, or, rr
How to determine the list of possible outcomes?From the question, we have the following parameters that can be used in our computation:
Orange = o
Red = r
Yellow = y
From the question, we understand that the selection is with replacement
This means that it is possible to select a marble two times
So, we have the following representation
yy oo ro
yo oy ry
yr or rr
Hence, the list is yy, oo, ro, yo, oy, ry, yr, or, rr
Read more about combination at
https://brainly.com/question/11732255
#SPJ1
Two students, Mattie and Pete agreed to display their work.
Their work is shown below.
Pete is correct because the student used multiplication as the correct function operation to simplify the expression.
In right triangle ABC, m∠C=3y-10, m∠B=y+40, and m∠A=90 What is the measure of ∠C?
The unknown angle of the right angle triangle is as follows:
∠C = 35°How to find the angle of a right angle triangle?A right angle triangle is a triangle that has one of its angles as 90 degrees. The sides of a right angle triangle can be named base on the position of the angles. The sides includes hypotenuse side, opposite side and adjacent side.
The sum of angles in a right angle triangle is 180 degrees. Therefore, let's find the ∠C in the triangle ABC.
Therefore,
180 = ∠A + ∠B + ∠C
m ∠B = y + 40
m ∠C = 3y - 10
m ∠A = 90°
Hence,
180 = 3y - 10 + y + 40 + 90
180 = 4y + 120
180 - 120 = 4y
y = 60 / 4
y = 15
Hence,
m ∠C = 3(15) - 10
m ∠C = 45 - 10
m ∠C = 35 degrees
learn more on right angle triangle here: https://brainly.com/question/13737075
#SPJ1
2. A loan is amortized over five years with mnthly payments at a nominal interest rate of 9%
compounded monthly. The first payment is ₱10,000 and is to be paid one month from the
date of the loan. Each succeeding monthly payment will be 2% lower than the prior payment.
Calculate the outstanding loan balance immediately after the 40th payment is made.
Answer:
Step-by-step explanation:
hard
Please help me with this
The consequence of the two functions f(x) = (1 / 6) · ∛x and g(x) = 6 · x³ by composition is f[g (x)] = (1 / 6) · ∛3 · x and g[f (x)] = (1 / 6) · x³, respectively.
How to use composition between two functions
In this question we must use the definition of composition between two functions f and g, where the independent variable of the function f is substituted by function g. That is to say:
f ° g (x) = f [g(x)]
If we know that f(x) = (1 / 6) · ∛x and g(x) = 6 · x³, then the result of each composition is:
f [g (x)] = (1 / 6) · ∛(6 · x³)
f[g (x)] = (1 / 6) · ∛3 · x
g[f (x)] = 6 · [(1 / 6) · ∛(6 · x³)]³
g[f (x)] = 6 · (1 / 216) · (6 · x³)
g[f (x)] = (1 / 6) · x³
The results of the compositions of the two functions f(x) = (1 / 6) · ∛x and g(x) = 6 · x³ are f[g (x)] = (1 / 6) · ∛3 · x and g[f (x)] = (1 / 6) · x³, respectively.
To learn more on composition of functions: https://brainly.com/question/14626983
#SPJ1
what is the equation of the line that passes through the point (5, 4) and is perpendicular to the line whose equation is 2x y
The equation of the line that passes through the point (5, 4) and is perpendicular to the line whose equation 2x + y = 3 is y = 1/2x + 3/2
The given equation of the line is
2x + y = 3
y = 3 - 2x
y = -2x + 3
The slope of the line is -2
The slope of the original line will be negative inverse of -2
= - 1/-2
= 1/2
The line is passing through the point (5, 4)
The slope intercept form is
y = mx + b
Substitute the values in the equation
4 = 1/2(5) + b
4 = 5/2 + b
b = 4 - (5/2)
b = 3/2
Therefore, the equation of the line is y = 1/2x + 3/2
Learn more about slope intercept form here
brainly.com/question/29146348
#SPJ4
f(-5)=5, f(0)=10, write a linear function f with the given values
Answer:
F(x)= x +10 (Cus when x is 0, Function is 10)
Answer:
y=x+10
Step-by-step explanation:
You first need to find the y intercept using the coordinates where x equal 0. Then you can figure slope by solving for m when you plug in the other points.
Solve each system by elimination: 4x+3y=19 3x-4y=8
Answer: x =4 , y =1
Step-by-step explanation:
Multiply the first equation by 4,and multiply the second equation by 3.
4(4x+3y=19)
3(3x−4y=8)
Becomes:
16x+12y=76
9x−12y=24
Add these equations to eliminate y:
25x=100
Then solve 25x=100 for x:
25x=100
(Divide both sides by 25)
x =4
Now that we've found x let's plug it back in to solve for y.
Write down an original equation:
4x+3y=19
Substitute4forxin4x+3y=19:
(4)(4)+3y=19
3y+16=19( Simplify both sides of the equation)
3y+16+−16 = 19+−16 (Add -16 to both sides)
3y=3
(Divide both sides by 3)
y=1
Write the equation of the line in
fully simplified slope-intercept form.
the equation of the straight line is y = -x-7
What is equation straight line?
Y = mx + c is the general equation for a straight line, where m denotes the line's slope and c the y-intercept. It is the version of the equation for a straight line that is used most frequently in geometry. There are numerous ways to express the equation of a straight line, including point-slope form, slope-intercept form, general form, standard form, etc. A straight line is a geometric object with two dimensions and infinite lengths at both ends. The formulas for the equation of a straight line that are most frequently employed are y = mx + c and axe + by = c. Other versions include point-slope, slope-intercept, standard, general, and others.
In the graph the slope m = -1
the y-intercept will be -7
Hence the equation of the st. line is y = -x-7
Learn more about straight line, by the following link
https://brainly.com/question/16949303
#SPJ1
i need help with this please!!
There is no horizontal asymptote since n > m.
What is the explanation?Find the place where the phrase x 2 x 2 x 15 x 2 x 12 is undefined.
x = 0
When n is the degree of the numerator and m is the degree of the denominator, the rational function R (x) = an x n b x m is used.
1. The x-axis, with y = 0, is the horizontal asymptote if n m.
2. If n = m, then the line y = a b is the horizontal asymptote.
3. There is no horizontal asymptote if n > m. (there is an oblique asymptote).
Identify n and m.
n= 4 m = 2
There is no horizontal asymptote since n > m.
Domain and Range
Domain: (−∞,0)∪(0,∞),{x|x≠0}
Range: (−∞,∞),{y|y∈R}
Oblique Asymptotes: y = x 2 x 3 x 12.
To learn more about horizontal asymptote refer to:
https://brainly.com/question/4138300
#SPJ1
In a class of students, the following data table summarizes how many students have a
cat or a dog. What is the probability that a student chosen randomly from the class
has a cat or a dog?
The probability that a student is chosen randomly from the class has a cat or a dog is 26/29.
What is the probability?It is based on the probabilities that something could happen. The theory of probability primarily relies on the justification for probability. A coin is tossed, for instance, and the theoretical likelihood of randomly receiving a head is 1 in 2.
explanation:
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
The total strength of the class is 29
The probability that a student is chosen randomly from the class has a cat or a dog = Number of favorable outcomes / total number of outcomes
P(E) = 26/29
Hence, The probability that a student is chosen randomly from the class has a cat or a dog is 26/29.
Learn more about probability from the given link
https://brainly.com/question/13604758
#SPJ1
The area of a given triangle is 35 square meters. The height of the triangle is (g-11) meters and the base is (g- 8) meters.
area of triangle = (b × h) ÷ 2
where b is the base so (g - 8)m,
h is the height so (g - 11)m
and area is 35
35 = (g - 11) × (g - 8) /2
35 = g² - 19g + 88 / 2
35 = 1/2g² - 19/2g + 44
1/2g² - 19/2g + 9 = 0
use the quadratic formula to find the two values of g and you will get:
g = 18 and g = 1
if we use g as 1 we will get negative metres for the values for the base and height so we use g = 18 instead!
base = (18) - 8
= 10m
height = (18) - 11
= 7m
Given x>0x>0 and y>0,y>0, select the expression that is equivalent to [tex]\sqrt[4]{256x^6y^10}[/tex]
By simplifying the expression we get [tex]4x^{\frac{3}{2} }y^{\frac{5}{2} }[/tex]
What is square root ?A number can be obtained by multiplying the square root of that integer by itself. The word "square root" is represented by the symbol [tex]\sqrt[2]{}[/tex] .The opposite of squaring an integer is finding its square root.
According to the given information
Given x > 0
y > 0
we need to simply the following expression
[tex]\sqrt[4]{256x^{6}y^{10} }[/tex]
By simplifying
we get
= [tex](4^{4}x^{6} Y^{10}) ^{\frac{1}{4} }[/tex]
= [tex]4x^{\frac{6}{4} } y^{\frac{10}{4} }[/tex]
= [tex]4x^{\frac{3}{2} }y^{\frac{5}{2} }[/tex]
Hence
By simplifying the expression we get [tex]4x^{\frac{3}{2} }y^{\frac{5}{2} }[/tex]
To know more about Square roots
https://brainly.com/question/3120622
#SPJ1
The x-intercept is -4 and the y-intercept is 5. What is the slope of the line?
Answer:
y = 1.25x + 5
Step-by-step explanation:
I found the answer using linear regression.
solve the system of equations?
7x+10=-4x-23
Answer:
x = -3
Step-by-step explanation:
7x+10 = -4x-23
11x+10 = -23
11x = -33
x = -3
Answer:
x= -33/4
Step-by-step explanation:
What is 4.5 repeating as a fraction?
Answer:
4.5 as a fraction is 9/2.
Step-by-step explanation:
Please give the brainliest.
an english professor assigns letter grades on a test according to the following scheme. a: top 13 % of scores b: scores below the top 13 % and above the bottom 61 % c: scores below the top 39 % and above the bottom 22 % d: scores below the top 78 % and above the bottom 6 % f: bottom 6 % of scores scores on the test are normally distributed with a mean of 75.1 and a standard deviation of 9.1. find the numerical limits for a d grade. round your answers to the nearest whole number, if necessary.
The numerical top and bottom limits for a d grade is 68 and 61 respectively
What can we learn from mean and standard deviation?
In statistics, the measurement of variability known as the standard deviation (SD) is frequently utilised. It demonstrates how different things are from the norm (mean). While a high SD shows that the data are dispersed throughout a wide range of values, a low SD suggests that the data points tend to be close to the mean.
Given,
Mean = 75.1
Standard Deviation = 9.1
For a D grade at / 6th Percentile and 78th Percentile critical
Z- Scores are -0.77 and -1.55 respectively
The Corresponding Top grade for d
x + z * σ
75.1 + (-0.77) * 9.1 =68
The Corresponding Bottom grade for d
x + z * σ
75.1 + (-1.55) * 9.1 =61
A d grade has numerical top and bottom limitations of 68 and 61, respectively.
To learn more about Standard deviation visit:
brainly.com/question/23907081
#SPJ4
Write a story that can be represented using the equation y=x+1/5x
A story that can be represented using the equation y=x+1/5x is "John has an apple and he cut another apple into 5 equal parts and took on part. What's the rural fraction of apple that he has?
How to illustrate the equation?An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.
In this case, if John has an apple and he cut another apple into 5 equal parts and took on part.
This can be illustrated as:
y = x + 1/5x
Learn more about equations on:
brainly.com/question/2972832
#SPJ1
Solve for each variable
x = 2 , y' = 70 , x' = 30 : by using the property of SAS(side angle side) in ΔKMN and ΔKLI as they were similar polygon.
What is SAS property of triangle ?The property of a triangle whose two sides and the angle between these sides are stated is "SAS," which stands for "Side, Angle, Side". The SAS formula can be used to determine the area of a given triangle ABC with two known sides and an included angle between these sides.
Assume that the triangle's three sides are a, b, and c.
A SAS Triangle's perimeter
The following formula can be used to determine a triangle's area using SAS:
When sides "b" and "c" are known, along with angle A, the triangle's area is equal to: 1/2 bc sin(A)
The area of the triangle is equal to 1/2 ab sin(C) when sides 'b' and 'a' as well as included angle B are known
when sides "a" and "c" were added using SAS in triangle 1ΔMKN ~ ΔJKL
So, MN/KN = JL/KL
(x+1)/12 = (3x-2)/32
∴ 5x = 10 ⇒ x = 2
Using same property (SAS) in triangle 2
J = 80
∴ 30 = <x'
∵ in a triangle sum of angles is equal to 180° so, y' + <
J + 30 = 180
∴ <J = 80
then, y' = 70 and x' = 30
Learn more about congruence here:
https://brainly.com/question/20880990
#SPJ1
Gerald is conducting an experiment with 3 possible outcomes. Kasey is conducting an experiment with 20 possible outcomes. Which statement best relates the possible outcomes to the number of trials needed to produce results similar to their predicted outcomes?
Answer:
Step-by-step explanation:
The number of trials needed to produce results similar to their predicted outcomes is likely to be higher for Kasey's experiment with 20 possible outcomes than for Gerald's experiment with 3 possible outcomes.
If 1.5kg of self raising flour costs 0.60$ find the cost of 1kg