PLEASE HELP ME PLEASEEEEEEEEEEE
A triangle is inscribed in a square, as shown. Write a simplified function r in terms of x that represents the area of the shaded region.
Answers
This is the same as (1/2)x^2 because 1/2 = 0.5
We could rewrite that into [tex]\frac{x^2}{2}[/tex]
=========================================================
Explanation:
The base of the white triangle (aka unshaded region) is x, while the height is also x
The area of the white triangle is
A = 0.5*base*height
A = 0.5*x*x
A = 0.5*x^2
The area of the entire square is x*x = x^2. Subtract off the area of the white triangle to get the area of the two blue shaded regions combined
shaded region = (square area) - (white triangle area)
shaded region = (x^2) - (0.5x^2)
shaded region = x^2 - 0.5x^2
shaded region = 1x^2 - 0.5x^2
shaded region = (1-0.5)x^2
shaded region = 0.5x^2
So the white triangle occupies half of the square, while the blue shaded region occupies the remaining 50% of the square.
Because 0.5 = 1/2, we can write this as (1/2)x^2, but I think using decimals in this case is easier.
Related Questions
An isosceles triangle is shown. What is the measure of F?
A)32°
B)58°
C)64
D)Cannot be determined
Answers
Answer: A
Step-by-step explanation:
Answer: 64
Step-by-step explanation:
angles G and E are congruent, add 58 + 58 then subtract by 180 so sum up 64
The sides of a triangle in cm, are , x , 2x – 5 and 2x – 3 . The perimeter of the triangle is 32 cm . i) Write down an equation for x
Answers
9514 1404 393
Answer:
32 = (x) +(2x -5) +(2x -3)
Step-by-step explanation:
The perimeter is the sum of the side lengths:
P = a + b + c
32 = (x) +(2x -5) +(2x -3)
__
This can be simplified to ...
32 = 5x -8
and solved to find x:
x = (32 +8)/5 = 8
How do you Convert fractions to a decimal
Answers
What is the greatest common factor of 3 and 6? O3 O 6 O 18 O 36
Answers
Answer:
3 I believe
Step-by-step explanation:
The factors of 3 are: 1, 3
The factors of 6 are: 1, 2, 3, 6
Then the greatest common factor is 3.
Answer:
3 is the great common factor
Step-by-step explanation:
factors:
3- 1,3
6- 1,2,3,6
hope it helps:))
Which equation represent a circle with a center at (2,-7) and a radius of 4 units ?
Answers
Answer:
[tex] {(x - 2)}^{2} + {(y + 7)}^{2} = 16[/tex]
Step-by-step explanation:
[tex] {(x - 2)}^{2} + {(y + 7)}^{2} = 16[/tex]
A rectangular prism has a length of 7 inches and a width of 5 inches. The lateral area is 192 square inches. What is the height of the prism?
Answers
Answer:
I think it would be 5.49 as the height of the prism.
Step-by-step explanation:
I just did 7 × 5 which is 35, and then I did 192 ÷ 35 and got 5.49. I'm not completely sure but that's my best answer I hope it helps!
Anthony downloaded 8 total items onto his phone. The games he purchased were $2.00 each and songs were $1.00. How many of each did he buy after spending $11.00?
Answers
Answer:
he downloaded 9 songs and 1 game
Step-by-step explanation (3x2= 6) (5x1= 5) (3+5= 8) $6.00 + $5.00 = $11.00
so add 3 items to the games that would be $6.00 so 5 items would remain put the rest of those items into the music that would be 5x1 =$5.00. So $6.00+$5.00= $11.00 so the answer is $11.00.
(2x - 4)+ ( x + 9)
A. 3x+5
B.x+5
C.3x-13
D.x+9
Answers
Answer: option A, 3x + 5
first, i rewrote it and removed the parentheses.
2x - 4 + x + 9
then, i collected the like terms.
3x + 5
Can someone help me with this trigonometry question
Answers
==================================================
Explanation:
Apply the law of cosines to find angle C
c^2 = a^2 + b^2 - 2*a*b*cos(C)
19^2 = 11^2 + 17^2 - 2*11*17*cos(C)
361 = 121 + 289 - 374*cos(C)
361 = 410 - 374*cos(C)
361 - 410 = -374*cos(C)
-49 = -374*cos(C)
-374*cos(C) = -49
cos(C) = (-49)/(-374)
cos(C) = 0.131016042780749 ..... which is approximate
C = arccos(0.131016042780749)
C = 82.4716905247836
C = 82 degrees
Notes:
arccos is shorthand for "arccosine". It is the same as inverse sine.Make sure your calculator is in degree mode. You can check by computing cos(60) and you should get 0.5h=(500-260)divided by 2
Answers
Answer:
h = 120
Step-by-step explanation:
The required, division of h=(500-260)divided by 2 is 120..
The division is a mathematical operation that involves distributing or sharing a quantity into equal parts. It is the inverse operation of multiplication. In division, a dividend is divided by a divisor to obtain a quotient.
h = (500 - 260) divided by 2
To solve this expression, we first perform the subtraction within the parentheses:
h = (240) / 2
Simplifying further:
h = 120
Therefore, the value of h is 120.
Learn more about division here:
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What is true about the dilation?
On a coordinate plane, the image rectangle has points (0, 0), (0, 8), (9, 8), (8, 0). The pre-image has points (0, 0), (0, 2.5), (3, 2.5), (3, 0).
It is a reduction with a scale factor between 0 and 1.
It is a reduction with a scale factor greater than 1.
It is an enlargement with a scale factor between 0 and 1.
It is an enlargement with a scale factor greater than 1.
answer my question pls
Answers
Answer:
The answer is D.Step-by-step explanation:
This is because only a reduction can be 0-1, as it will shrink, while if you multiply a number by a number greater than 1, is will largen.
The dilation is an enlargement with a scale factor greater than 1. Thus, the correct option is D.
How does dilation affect length, area, and volume of an object?(SCALING ZOOMING SIMILAR FIGURES)
Suppose a figure (pre image) is dilated (dilated image) by scale factor of k.
So, if a side of the figure is of length L units, and that of its similar figure is of M units, then:
L = k × M
where 'k' will be called as scale factor.
The linear things grow linearly like length, height etc.
The quantities which are squares or multiple of linear things twice grow by square of scale factor. Thus, we need to multiply or divide by k² to get each other corresponding quantity from their similar figures' quantities.
So area of first figure = k² × area of second figure
Similarly, Volume of first figure = k³ × volume of second figure.
It is because we will need to multiply 3 linear quantities to get volume, which results in k getting multiplied 3 times, thus, cubed.
As it can be seen in the image below that the red rectangle is the pre-image therefore, it is the original figure.
The blue rectangle is the image of the original figure.
Now, as it can be seen that the pre-image is a smaller rectangle, while the image is a large rectangle, therefore, the dilation made is of enlargement.
Also, it can be observed that the ratio of any corresponding sides of the two rectangles is more than 1.
Hence, the dilation is an enlargement with a scale factor greater than 1. Thus, the correct option is D.
Learn more about Dilation:
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Please help i dont get this
Answers
Answer:
11-2m
Step-by-step explanation:
33-6m/3
= 3(11-2m)/3
= 11-2m (the 3 cancels out)
What is the value if f(0)?
Answers
Answer:
D
Step-by-step explanation:
Where f(0) is or x=0, y= 4
Answer:
4
Step-by-step explanation:
( d ). 4. is correct
we have. to see x (0) n on the 0 we have. to find the no: of y that cross the on it
What is the slope of y = -4x - 3
Answers
Answer:
-4
Step-by-step explanation:
Answer:s
slope of -4x-3: m=-4
what is the image of the point ( -4, 8) after a rotation of 90° counterclockwise about the origin
Answers
Answer:(-8,-4)
Step-by-step explanation:
Can someone help with this please
Answers
Answer:
no solution
Step-by-step explanation:
because the x values got cut out, there's no solution
Please Solve!!!!
And show steps
log(x+4)+ log(x)= log(x+4)
Answers
Answer: log(x+4) + log(x)=log(x+4)
Group like terms
log(x+4)-log(x+4)=-log(x)
Log((x+4)/(x+4))=-log(x)
log(1)= -log(x)
log(1)=0
=> 0=log(x)
x=10^0
x=1
Step-by-step explanation:
Before one can solve log questions, he/she must know the laws.
Put x= 1 in to the main equation to test your answer
Log(5) +log(1)=log(5)
log (1) is 0
log(5)=log(5)
Simplify 3 ( x + 2 ) − 2 ( x 2 + 2x − 4 ).
Which of the polynomials below represents the answer written in standard form?
Select one:
a. - 2x 2 − x + 14
b. - 2 + 7x + 2x 2
c. - 3x 4 + 14
d. 2x 2 + 7x − 2
Answers
Answer:
The polynomials that represents the answer is -2x² - x + 14 ⇒ a
Step-by-step explanation:
Let us solve the question
∵ The expression is 3(x + 2) - 2(x² + 2x - 4)
→ Multiply each bracket by the number before it
∵ 3(x + 2) = 3(x) + 3(2)
∴ 3(x - 2) = 3x + 6
∵ 2(x² + 2x - 4) = 2(x²) + 2(2x) + 2(-4)
∴ 2(x² + 2x - 4) = 2x² + 4x + (-8)
→ Remember (+)(-) = (-)
∴ 2(x² + 2x - 4) = 2x² + 4x - 8
∴ 3(x + 2) - 2(x² + 2x - 4) = (3x + 6) - (2x² + 4x - 8)
→ Multiply the (-) by all the terms in the 2nd bracket
∴ 3(x + 2) - 2(x² + 2x - 4) = 3x + 6 - 2x² - 4x + 8
→ Add the like terms
∵ 3(x + 2) - 2(x² + 2x - 4) = -2x² + (3x - 4x) + (6 + 8)
∴ 3(x + 2) - 2(x² + 2x - 4) = -2x² + (-x) + 14
∴ 3(x + 2) - 2(x² + 2x - 4) = -2x² - x + 14
∴ The polynomials that represents the answer is -2x² - x + 14
OK I KNOW I HAVE ASK MORE THAN ONE QUESTION BUT PLZ HELP You are a high school senior with a part-time job at a retail store. Your employer pays you $9.75 per hour. Last week, you worked a total of 30 hours.
The following payroll deductions were taken from your gross pay:
Federal income tax (withholding) at 10%
Social Security tax at 6.2%
Medicare tax at 1.45%
Use the check stub below to help you think through the problem.
You are encouraged to use scratch paper or Chrome Canvas as a scratch pad. You are allowed to check your calculations with a calculator.
check stub
The amount for MEDICARE TAX for this pay period was $
Blank.
Answers
Help Please! △ABC is given with line m drawn through A parallel to BC¯¯¯¯¯¯¯¯. In the course of proving that the interior angle measures of △ABC sum to 180°, which of the following will be shown? Select the two correct answers.
∠1≅∠B
∠1≅∠C
m∠1+m∠BAC+m∠2=180°
m∠BAC+m∠C+m∠2=180°
∠2≅∠A
Answers
not sure but i thibj the second one
a 100oz bottle costs $2.97 and a 200oz bottle costs $5.78 what is the unit price of each one?
Answers
Answer: BOTTLE 1 =0.0297 BOTTLE 2 =0.0289
Step-by-step explanation:
In a unit rate, the denominator is always 1. So, to find unit rate, divide the denominator with the numerator in a way that the denominator becomes 1. For example, if 50 km is covered in 5.5 hours, the unit rate will be 50 km/5.5 hours = 9.09 km/hour
bottle 1: $2.97/100 oz = unit rate
bottle 2: $5.78/200 oz=unit rate
BOTTLE 1 =0.0297
BOTTLE 2 =0.0289
h(n) = 3^n+3; Find h (3n)
Answers
Answer:
The option which you chose is absolutely right.
Step-by-step explanation:
h(n) = 3^ n + 3
h(3n) = 3 ^3n + 3
Hope it will help :)
help me pleaseee pleaseee
Answers
Answer:
x = 3
m<PAW = 1
Step-by-step explanation:
☆They are supplementary angles.
☆Supplementary angles equal 180 degrees.
[tex]- 11x + 17 3 - 1x + 43 = 180 \\ - 12x + 216 = 180 \\ \frac{ \: \: \: \: \: \: \: \: \: \: \: \: \: - 216 = - 216}{ \frac{ - 12x}{ - 12} = \frac{ - 36}{ - 12} } \\ x = 3[/tex]
☆Plug in for m<AEZ
[tex] - 1(3) + 4 \\ - 3 + 4 \\ 1[/tex]
☆m<PAW is corresponding to m<AEZ
☆Corresponding angles are congruent.
☆m<PAW equals 1.
The position of county commissioner was added in what year? 1865 1777 1733 1868
Answers
Answer:
1868 is the answer your looking for
Step-by-step explanation:
Answer:
1868
In 1868, the position of county commissioner was added to the elected officials of a county.
Lake Chad in Africa had a surface area of about 10,000 square miles in 1963. Because of climate changes and increased water usage by humans, the surface area decreased to about 850 square miles in 2001. By what percent did the surface area change from 1963 to 2001?
Answers
Answer:
iuebyefyurbfuyrfbofrvfeybyrvfewqybqwyboiwqebfiwuqefbiwuqefbipuwqefbipuwqefbpiuwqef
Step-by-step explanation:
What is the y intercept of the following equation -5y-3x=10
It has to look something like this
Answers
Answer:
-2
Step-by-step explanation:
First, let's put this in slope-intercept form:
-5y-3x=10
5y = -3x - 10
y = (-3/5)x - 2
The y-intercept is -2.
?????????????????????????????
Answers
Step-by-step explanation:
[tex] \underline{ \underline{ \text{Given}}} : [/tex]
∠ABC = 60° , ∠BAC = 60° & ∠ACD = x °[tex] \underline{ \underline{ \text{To \: find}}} : [/tex]
Value of x[tex] \underline{ \sf{∠ACD= ∠ABC\: + \: ∠BAC}}[/tex] { Exterior angle of a triangle is equal to sum of the two non - adjacent interior angles }
[tex] \sf{x \degree = 60 \degree + 60 \degree}[/tex]
[tex] \sf{x \degree = 120 \degree}[/tex]
[tex] \blue{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt x = 120 \degree}}}}}}[/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
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Find the slope of the line.
Plz, I need help!
Answers
Answer:
The slope of this line is
[tex] \frac{1}{2} [/tex]
So, in order to do this, we would just take two points on the graph and see how many units we have to go up which will be our Rise and then how many units we have to go across which will be our run.
So, for example, let’s the the coordinates(-6,1) and (-4,2)
So, we will start at (-6,1) and we need to get to (-4,2).
To do this. We are going to go up 1 unit which is our Rise and then, we are going to go over to the right 2 units which is our run.
So, the slope of this line is M = 1/2.
what is the area of DEF
Answers
Answer:
yo you know you can use the brainly scan &solve
Answer:
240 cm^2
find the scale factor of the length
k=20/6=3.33...
multiply the area of triangle ABC by the scale factor so 72 x 3.333..=240
what is the square root of 72x as a power of 6 / x squared
Answers
Answer is : 6 √ 72 x 2 Rewrite 72 x2 as ( 6 x ) 2 ⋅ 2 . Tap for more steps... 6 √ ( 6 x ) 2 ⋅ 2 Pull terms out from under the radical.
6 ( 6 x √ 2 ) Multiply 6 by 6 . 36 x √ 2
thank me later