Answer:
35%
Step-by-step explanation:
A square carpet of side length 9 feet is designed with one large shaded square and eight smaller, congruent shaded squares, as shown.If the ratios $9:\text{S}$ and $\text{S}:\text{T}$ are both equal to 3 and $\text{S}$ and $\text{T}$ are the side lengths of the shaded squares, what is the total shaded area?
Answer:
[tex]3\sqrt{3} + 72[/tex]
Step-by-step explanation:
I attached an image to aid the understanding of the question.
Looking at the image, we see that the 8 shaded parts are congruent, as affirmed in the question as well. And we are told that T = 3, this implies that the area of the square with T as it's side is 9ft². Since all the 8 squares are congruenrt, it means each square has its area to be 9. Therefore, the total area of the 8 shaded squares will be:
[tex]9 \times 8 = 72ft^{2}[/tex]
It remains the area of the shaded square with side S.
From the question, we have the following ratio:
[tex]\frac{9}{S} = \frac{S}{T}[\tex]
But
[tex]\frac{9}{S} = \frac{S}{3}[\tex]
Multiplying through by 3S we have
27 = S² and this gives:
[tex]S = \sqrt{27} = 3\sqrt{3}[/tex]
I did not add ± because length is always positive, so the case of negative is eliminated.
Now the areas of S is [tex]3\sqrt{3}[/tex]
Therefore, the total area of the shaded squares is
[tex]3\sqrt{3} + 72[/tex]
Answer:
17
Step-by-step explanation:
We are given that [tex]$\frac{9}{\text{S}}=\frac{\text{S}}{\text{T}}=3.$\[\frac{9}{\text{S}}=3\][/tex]gives us S=3, so[tex]\[\frac{\text{S}}{\text{T}}=3\][/tex]gives us T=1. There are 8 shaded squares with side length [tex]$\text{T}$[/tex] and there is 1 shaded square with side length [tex]$\text{S},$[/tex] so the total shaded area is [tex]$8\cdot(1\cdot1)+1\cdot(3\cdot3)=8+9=\boxed{17}.$[/tex]
3125x=−62 value of x.
Answer:
x= -0.01984
Step-by-step explanation:
You divide both sides by 3125 to get x alone.
You get x=-0.01984
Hope this helps!
can someone please help me .. will mark brainliest !
Answer:
a
Step-by-step explanation:
i don't really know just Draco told me i should answer this
someone please please helppp... I need to submit this ttoday..I will mark you the brainliest
Problem 3
I'm not sure what your teacher is asking here. Identities are equations, but your teacher didn't give you an equation.
=============================================
Problem 4
To show that we have an identity, I'm only going to manipulate the left hand side to transform it into the right hand side. The right hand side will remain the same the entire time.
(3x+7)^2 - 84x = (3x-7)^2
(3x+7)(3x+7) - 84x = (3x-7)^2
(9x^2+21x+21x+49) - 84x = (3x-7)^2
9x^2+42x+49-84x = (3x-7)^2
9x^2-42x+49 = (3x-7)^2
(3x-7)^2 = (3x-7)^2
The two formulas
(a+b)^2 = a^2+2ab+b^2(a-b)^2 = a^2-2ab+b^2may be handy in terms of expanding out (3x+7)^2 and factoring 9x^2-42x+49
=============================================
Problem 5
x + 1/x = 11
a + b = 11 .... where a = x and b = 1/x
(a+b)^2 = 11^2
a^2 + 2ab + b^2 = 121
x^2 + 2*x*(1/x) + (1/x)^2 = 121
x^2 + 2 + 1/(x^2) = 121
x^2 + 1/(x^2) = 121-2
x^2 + 1/(x^2) = 119
An alternative route is to solve x + 1/x = 11 for x. You'll get two solutions. Use either solution to plug into x^2 + 1/(x^2) to find the result is 119.
Can someone help me with geometry??
Answer:
B
Step-by-step explanation:
Peter rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total of 11.
Hi please answer urgently
Answer:
5+6=11
So,the probability to get 11 is 5+6
Step-by-step explanation:
Answer:
5 + 6 = 11
Step-by-step explanation:
a dice contains 6 numbers
1, 2, 3, 4, 5 and 6
Peter rolls 2 fair dice and adds the results from each.
So, 5 + 6 = 11
in fraction = 2/11
-TheUnknownScientist
Growing up, Joe lived in a small town. When he left for college, the population was 840.
The population has grown by 5% after Joe's first year of college. What is the new
population?
Answer:882
Step-by-step explanation:5 percent of 840 is 42 so 840 plus 42
Answer:
882
Step-by-step explanation:
evaluate the expression for the give value of the variable.
3d — 4
d = 1.2
HELP ME ASAP PLEASSSSE?!?!
What is the measure of A?
Answer:
D. 50
Step-by-step explanation:
Answer:
50°
Step-by-step explanation:
180-130=50
Maricella solves for x in the equation 4 x minus 2 (3 x minus 4) + 4 = negative x + 3 (x + 1) + 1. She begins by adding –4 + 4 on the left side of the equation and 1 + 1 on the right side of the equation. Which best explains why Maricella’s strategy is incorrect?
Answer:
It is wrong because she should simplify both sides of the equation,distribute, combine like terms,subtract and divide to get the final answer.
4x−2(3x−4)+4=−x+3(x+1)+1
Step 1: Simplify both sides of the equation.
4x−2(3x−4)+4=−x+3(x+1)+1
4x+(−2)(3x)+(−2)(−4)+4=−x+(3)(x)+(3)(1)+1(Distribute)
4x+−6x+8+4=−x+3x+3+1
(4x+−6x)+(8+4)=(−x+3x)+(3+1)(Combine Like Terms)
−2x+12=2x+4
−2x+12=2x+4
Step 2: Subtract 2x from both sides.
−2x+12−2x=2x+4−2x
−4x+12=4
Step 3: Subtract 12 from both sides.
−4x+12−12=4−12
−4x=−8
Step 4: Divide both sides by -4.
−4x−4=−8−4
x=2
Answer:
x=2
Answer:
it is in order to combine like terms on one side of the equation, the inverse operations must be used
Step-by-step explanation:
trust me I took it on edge
Which is the graph of the function f(x) = 1/2x2+2x-6?
Answer:
This is how the graph would look like
Step-by-step explanation:
The graph of the function [tex]f(x) = 0.5x^{2} + 2x - 6[/tex] is attached below.
What is plotting of graph of a function?The graph of the function [tex]f(x) = 0.5x^{2} + 2x - 6[/tex] can be created by plotting a few coordinates that lie on the function.
When x = 0, y = -6
Coordinate = (0, -6)
When y = 0, [tex]0.5x^{2} + 2x - 6 = 0[/tex]
[tex]x^{2} + 4x - 12 = 0\\\\x^{2} + 6x - 2x - 12 = 0\\\\x(x+6) - 2(x+6) = 0\\\\(x-2)(x+6) = 0\\\\x = 2, -6\\[/tex]
Coordinates = (2,0), (-6,0)
Abscissa of vertex of graph = -b/2a = -2
Ordinate of vertex of graph = 0.5 *4 -4 - 6 = -8
coordinate = (-2, -8)
Learn more about plotting graph of a function here
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Sandy bought a soft drink for 3 dollars and 8 candy bars. She spent
a total of 35 dollars. How much did each candy bar cost ?
H
Answer:
Step-by-step explanation:
1 soft drink = $3 35-3=32 32/8=4
therefor each candy bar costs $4
Hope this helped!!! :)))
Answer:
4
Step-by-step explanation:
Sandy got 8 bars and a drink for 3 bucks and ended up wasting 35 dollars what you have to do is 35-3 and that = 32 and what you do to that 32 is ÷ it by 8 which gets you 4
Are these answers right or some wrong? If some wrong plz answer them correct thanks!
You are wrong.
1, 2, 3 and 4 are correct.
5. 75%
6 is also correct
7. 100%
8. 50%
Solve: -9/10 + p = 1/5
Answer:
p=11/10
Step-by-step explanation:
Answer:
p=-55
Step-by-step explanation:
Simplify the expression
(-a)^-18
The sum of two consecutive even integers is 48 less than 3 times the largest integer. Find both integers algebraically.
Answer:
44 and 46Step-by-step explanation:
Let the integers be:
n and n + 2Then we have:
n + n + 2 = 3(n + 2) - 48Solving for n:
2n + 2 = 3n + 6 - 483n - 2n = 2 + 48 - 6n = 44So the numbers are 44 and 46
1. NC.6.RP.3 An airplane travels at a constant speed of 360 miles per hour. How far, in
miles, will the airplane travel in 45 minutes?
a. 270 miles
b. 16,200 miles
C. 60 miles
d 720 miles
9514 1404 393
Answer:
a. 270 miles
Step-by-step explanation:
In 3/4 of an hour, the plane will fly 3/4 of 360 miles, so 270 miles.
If correct will mark brainliest!!!!!
Answer:
Step-by-step explanation:
1 - right triangle
2 - Acute triangle
3 - Acute triangle
4 - Obtuse triangle
5 - Acute triangle
Answer:
1. right
2. obtuse
3. acute
4. obtuse
5. acute
Step-by-step explanation:
If a video game was 10% off and the amount of the discount was $6 what was the original price?
Answer: the original price was $60! <3
Step-by-step explanation:
For the function F defined by F(x)=x2−2x+4, find F(−2).
Answer:
F(-2) = 12
Step-by-step explanation:
F(-2) = (-2)²- 2(-2) + 4
= 4 - (-4) + 4
= 4 + 4 + 4
= 12
The required value of function F(x) = x² − 2x + 4 at F( -2 ) is 12.
A quadratic function is given F(x) = x² − 2x + 4, value of the function is to be determined at x = -2.
What is a polynomial function?
A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the quadratic equation, cubic equation, etc. ax+b is a polynomial.
F(x) = x² − 2x + 4
Above given function is a quadratic function,
in order to find F(-2) , we have to put x = -2 in above given function.
F( -2 ) = ( -2 )² − 2( -2 ) + 4
F( -2 ) = 4 + 4 + 4
F( -2 ) = 16
Thus, the required value of function F(x) = x² − 2x + 4 at F( -2 ) is 12.
Learn more about polynomial function here:
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Which is the graph of f(x)
= 4(1/2)x?
PLEASE HELP ME
Answer:
[tex]4 (\frac{1}{2} )x \\ = 2x[/tex]
hopefully can help
a line passes through 8,-8 and has a slope of -5/4, write an equation in slope intercept form for this line
Answer:
y = -1.25x +2
Step-by-step explanation:
Using Point-Slope formula we can create an equations.
y - y1 = m(x - x1)
substitute:
y + 8 =-5/4(x - 8)
-5/4 = -1.25
y + 8 = -1.25 ( x - 8)
Distribute:
y + 8 = -1.25x + 10
subtract 8 from both sides:
y = 1.25x + 2
Hope this helps!
Three friends grow groups of sunflowers.
Some think that Anna’s flowers are the tallest because the mean height of her flowers is the greatest.
Others think Anna’s flowers are the shortest because the median height of her flowers is the least.
The plots show the heights for each friend’s flowers.
Which is the most likely plot for Anna’s flowers?
Step-by-step explanation:
es la numero 3
Answer:
Option 3 is the most common plot for Anna’s flowers
Helpp plzzz!! Identify the corresponding side to side MN.
Answer:
st i think
Step-by-step explanation:
Answer:
I seem to have learned this, but I just don't remember how to do it? Even if I remember, I don't know how to count it?
Can somebody help me with this please?
its an eqilateral triangle. they are always “positioned” at 180 degrees.
HELP ASAP!!! determine how if possible the triangles are similar
Answer:
d not simlar just letting u know ur getting it wrong
Step-by-step explanation:
Answer:
I think A or C would be the answer! Hope this helped a little!!
Solve for x.
(1/9)^x=27^x/9^2x-1
Answer:
x=-2
Step-by-step explanation:
A local grocery store sells frozen fish sticks in packages of 18. If the cost for a package of 18 frozen fish sticks is $1.95, what is the approximate cost per frozen fish stick?
Answer:
$0.11 per frozen fish stick
Step-by-step explanation:
If a package of 18 fish sticks cost $1.95, to find the cost per frozen fish stick you need to divide $1.95 by 18
$1.95 / 18 frozen fish stick = $0.108 or $0.11 per frozen fish stick
7(1 - x) = -3(x - 2)
Answer:
the answer is x= 1/4 :D .....
Answer: bro its x=1 over 4
Step-by-step explanation:
67,132 divided by 7= ?
Round your answer to the nearest tenth.
Answer:
DONE!
Step-by-step explanation:
67132/7 = 9590.28571429
Rounded to the nearest tenth: 9590.3
Answer:
9590.3
Step-by-step explanation:
finally got to answer lol