The expression shows the area of the shaded region in terms of A and B are 4A + B, 1.5B, and 12A.
What is the area of the triangle?The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle.
Given
The area of one of the small right triangles outlined in blue is A cm2, while the area of the square outlined in red is B.
There are 4 triangles with an area of 4 so that is 4A and since there is only one square the area of the whole thing is 4A+B.
Each triangle is also equal to 1/8 of the square.
This means A=B/8 or B=8A.
First replacing B in the previous equation you get 4A+8A which is 12A.
Then replacing A with B/8 you get 4(B/8)+B which is B/2+B which is 3B/2 and 3/2 is 1.5 so 3/2B is equal to 1.5B.
Hence, the expression shows the area of the shaded region in terms of A and B are 4A + B, 1.5B, and 12A.
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Which of the following is NOT a solution of the inequality y<-1
Hello.
y<-1
The sign "<" means "less than"
The solutions of the inequality are less than -1.
For example, -2 is a solution of the inequality (it makes the inequality true)
The numbers that don't make the inequality true are greater than -1.
For example, let's take 3.
3 is greater than -1.
Plug it into the inequality:
3<-1
As we can see, we have a false statement.
Therefore, the answer is:
[tex]\mathrm{Numbers\:greater\:than\:-1\:aren't\:solutions}[/tex]
I hope this helps.
Have a nice day.
[tex]\boxed{imperturbability}[/tex]
Write a function that represents the situation. Let t represent the time in years. You deposit $800 in an account that earns 7% annual interest compounded yearly.
Answer:
pretty sure it's 56 I could be wrong though
Find the area of the figure.
hello, can you please answer this question, ty
don't give links as answers, ty.
Answer:
y=-3
Step-by-step explanation:
the line touches the y-axis in P(0;-3)
:3
Need answer please show work
Let us set up some variabe:
height: hbase: bUse the known information:
b = 2h + 8Now lets find the area
Area = (1/2) * b *h = (1/2) * h * (2h + 8)
Hope that helps!
Solve for x
X- 3x+2/x+1 = 1/x+1
Pleasee help and answer this with proper steps asap!!!
Answer:a)x=6,y=7
b) x=6,y=-1
c)x=-1/2 ,y=13/2
Step-by-step explanation:
1,2,3,4,5 standard deviation
Answer:
1.6
Step-by-step explanation:
Remember that the standard deviation is a measure of the amount of variation or dispersion of a set of values. A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range.
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The Smith family wants to build an addition to the back of their house as shown in the figure below. The area of the addition is (x²+10x-200) ft².
a) What is the length of the addition?
b) What is the area of the original house?
The area of the house is the amount of space on the house.
The length of the addition is x + 20The area of the original house is [tex]x^2 + 30x + 200[/tex]The length of the additionThe area of the addition is given as:
[tex]Area = x^2 + 10x - 200[/tex]
Expand
[tex]Area = x^2 + 20x - 10x - 200[/tex]
Factorize
[tex]Area = x(x + 20) - 10(x + 20)[/tex]
Factor out x + 20
[tex]Area = (x -10)(x + 20)[/tex]
The width of the addition is x - 10.
Hence, the length of the addition is x + 20
The area of the original houseThe dimension of the original house is
x + 20 by x + 10
So, the area is:
[tex]Area =(x + 20)(x + 10)[/tex]
Expand
[tex]Area =x^2 + 20x + 10x + 200[/tex]
This gives
[tex]Area =x^2 + 30x + 200[/tex]
Hence, the area of the original house is [tex]x^2 + 30x + 200[/tex]
Read more about areas at:
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What are the factors of the trinomial? Select two options. X – 14 x 7 x – 7 x – 2 x 2.
Answer:
-13x + 14
Step-by-step explanation:
Please Help, Like Now
Answer:
27
Step-by-step explanation:
if you do the triangle formula bxh/2
9x6/2=27
Answer: 27 cm^2
Step-by-step explanation: With the base of 9 and height of 6, and using the equation A=hb_^b/2, it comes out to 27 cm^2
What is the distance between points A and C?
3.3 units
3.6 units
5.2 units
7.8 units
Answer:
AC ≈ 7.8 units
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = A (- 4, - 4 ) and (x₂, y₂ ) = C (2, 1 )
AC = [tex]\sqrt{(2-(-4))^2+(1-(-4))^2}[/tex]
= [tex]\sqrt{(2+4)^2+(1+4)^2}[/tex]
= [tex]\sqrt{6^2+5^2}[/tex]
= [tex]\sqrt{36+25}[/tex]
= [tex]\sqrt{61}[/tex]
≈ 7.8 ( to 1 dec. place )
6. Margo planted a triangular
vegetable garden.What is the perimeter of the garden?
Answer:
19 11/12
Step-by-step explanation: The answer is this because when doing perimeter you add the sides together.
10 Y plus 9Y minus 6Y plus 6Y simplified
10 y plus 9 y minus 6 y plus 6 y
=> 10y + 9y - 6y + 6y
= 10y + 9y - 0 = 19y
Convert into standard form: y=(x-2)^2+6
The ^2 means to the second power basically
Answer:
x^2 -4x +10
Step-by-step explanation:
Standard form is
x^2-4x+10
Answer:
[tex]y= x^2 - 4x + 10[/tex]
Step-by-step explanation:
Hopes this helps!!
An appliance store decreases the price of a 19-in. television set 17% to a sale price of $518.34. What was the original price?
The original price of the television was $
(Round to the nearest cent.)
Answer:
YE
Step-by-step explanation:
289
divide £70 in the ratio 4:3
Answer:
Total=4 +3=7
For the 4
4÷7×70=£40
For the 3
3÷7×70=£30
So the division of £70 in ratio 4:3 is £40:£30
Need answer for number 4 please show work
Answer:
F
Step-by-step explanation:
I got this by: "d is 17 less than the quotient of n and 4"
d = n/4 - 17
So what we know is that there is a fraction (division) so I went ahead and made that. Then it says that it is 17 less than the quotient of n and 4, which means subtraction. Set it equal to d because that is the one we were trying to "solve" since the begging.
Monique is planning the locations for three exhibit areas at the festival. She drew a model of one of the exhibit areas as shown on the coordinate grid below. To determine the location of the second exhibit area, she will reflect the first area across the dashed line. To determine the location of the third exhibit area, she will translate the second area (x,y)→(x+1,y+6)
The second area was translated 1 unit right and 6 units down to form the third exhibit area.
TransformationTransformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, dilation and rotation.
Translation is the movement of a point either up, down, left or right.
Given the translation (x,y)→(x+1,y+6). Hence:
The second area was translated 1 unit right and 6 units down to form the third exhibit area.
Find out more on Transformation at: https://brainly.com/question/1462871
If a rectangle has a length of 12 inches and a width of 5
inches, what is the value of its perimeter? Include units.
Answer:
34^units
Step-by-step explanation:
12x2=24
5x2=10
absolute value of [4-9]
Answer:
-5
Step-by-step explanation:
==> [4-9]
==>[-5]
==> -5
Please answer the following Question (35 Points)
Answer:
Try the first one I think and I remember when I did this one but I forgot the answer to this
VERY URGENT! What should be the statement for the Step 4 of Manuel’s Proof?
2 values that add up to -40 and 6
Answer:
-20 + -20=-40 4+2=6
Step-by-step explanation:
-20 + -20=40
4+2=6
Answer:
-20 + -20=-40 4+2=6
-20 + -20=40
4+2=6
Step-by-step explanation:
find the area of a circle with a radius of 7 feet. use 3.14 π
Answer:
153.86 ft²
Step-by-step explanation:
Formula to find the area of a circle is :
Area = πr²Here,
r ⇒ radius ⇒ 7 ft
Let us solve now.
A = π r²
= 3.14 × 7 × 7
= 21.98 × 7
= 153.86 ft²
Given :
radius of circle = 7 feetπ = 3.14[tex] \\ \\ [/tex]
To find :
Area of circle[tex] \\ \\ [/tex]
We know :-
[tex] \bigstar \boxed{ \rm Area~of \: a~circle = \pi {r}^{2} }[/tex]
[tex] \\ \\ [/tex]
So:-
[tex] \dashrightarrow\sf Area~of \: a~circle = \pi {r}^{2} [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Area~of \: a~circle = \pi \times {7}^{2} \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Area~of \: a~circle = \pi \times 7 \times 7 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Area~of \: a~circle = \pi \times 49 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\sf Area~of \: a~circle = 3.14 \times 49 \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \dashrightarrow\bf Area~of \: a~circle = 153.86 {feet}^{2} \\ [/tex]
_________________Know more :-Area of square = side²Area of rectangle = length × widthArea of rhombus= (diagonal 1 × diagonal 2)/2Area of cylinder = 2πr(h+r)Area of sphere = 4πr²You have to find f(5)
Answer:
f(5) = -2
Step-by-step explanation:
Hello! So, when we have f(5), that is in the form of f(x). That means that our x = 5. Another thing to note is that f(x) is equivalent to our y-coordinate: the x-coordinate is the x value in the equation and the value is the f(x) in the equation.
Now we need to locate where x = 5 on the graph. When you find that, you need to see what point falls on x = 5. That points y-coordinate is your answer.
So if we look at x=5, the point (5, -2) falls on it. So f(5) = -2.
Let me know if you have any questions.
A box contains light bulbs. Each light bulb is the same size and shape.
Six of the light bulbs are new.
Two of the light bulbs are used.
John will randomly select two light bulbs from the box, without replacement.
What is the probability that John will select a used light bulb and then a new light bulb?
Round your answer to the nearest tenth of a percent if necessary.
37.5%
21.4%
18.8%
12.5%
Answer question B for 30 points!
Answer:
It gotta be 6 because n=6 in the above equation to find the number of sticks in pattern 6 .
What is the greatest common factor of x6 and x9? x3 x6 x9 x15.
Answer: the answer is 3
Step-by-step explanation:
3×3=9
3×2=6
6 can't be multiplied to make 9
9 can't be multiplied to make 6
15 is to big of a number to make either
ms.kitsios spent $2.60 when she bought 4 small hot Cheetos bags from the vending machine how much did each bag of hot Cheetos cost?
Answer:
0.65
Step-by-step explanation:
Divide 2.60 by 4 to figure out the price per bag. When i do this i get 0.65. So he spends 65 cents per bag of Cheetos,
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