Answer:
Step-by-step explanation:
Ist method - Area of the triangle + Area of the trapezium
Area of triangle = 1/2 × b × h
here, b = 8 cm but h is not given
so we will find h by pythagoras theorem
AC^2 = AB^2 + BC^2
10^2 = 8^2 + BC^2
100 = 64 + BC^2
BC^2 = 36
BC = √36
BC = 6
∴ h = 6cm
area of triangle = 1/2 × b × h
= 1/2 × 8 × 6
= 24 cm^2
Area of trapezium = 1/2 ( a + b ) h
Here a = 13cm
b = 25 - 8 = 17 cm
h = 6 cm
So area = 1/2 ( a + b ) h
= 1/2 ( 13 + 17 ) 6
= 90 cm^2
So total area = Area of the triangle + Area of the trapezium
= 24 cm^2 + 90 cm^2 = 114 cm^2
2nd method - Area of the entire figure
Since the figure is a trapezium,
Area of trapezium = 1/2 ( a + b ) h
here, a = 13cm
b = 25 cm
h = 6 cm
Area of trapezium = 1/2 ( a + b ) h
= 1/2 ( 13 + 25 ) 6
= 114 cm^2
Hope this helps
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answer:
not a very clear diagram sorry luv but i just cant really see the question <3
step-by-step explanation:
f(x)=-4x+2 find f(x) when x=1
Answer:
6
Step-by-step explanation:
plug in 1 for where it says x and you would get 6
Pls halp,due today thank uu
Kelly inherits land which had a basis to the decedent of $95,000 and a fair market value of $50,000 on August 4, 2018, the date of the decedent’s death. The executor distributes the land to Kelly on November 12, 2018, at which time the fair market value is $49,000. The fair market value on February 4, 2019, is $45,000. In filing the estate tax return, the executor elects the alternate valuation date. Kelly sells the land on June 10, 2019, for $48,000. What is herrecognized gain or loss? ($1,000) ($2,000) ($47,000) $1,000 None of the above
Answer:
The correct option is;
Her recognized loss is ($1,000)
Step-by-step explanation:
The given information are;
The basis of the land to the decedent = $95,000
The land's market value on 4th of August 2018 when the decedent died = $50,000
The alternate valuation date = 6 months + The date of death of the decedent = 4th February, 2019
The value filed by the executor on the tax return using the alternate valuation date = The market value of the estate on 4th of February 2019
The market value of the land on 4th of February 2019 = $45,000
∴ The value filed by the executor on the tax return using the alternate valuation date = $45,000
The value of the land on November 12, 2018 when the executor distributed the land to Kelly = $49,000
The value at which Kelly sells the land on June 10, 2019 = $48,000
Given that, recognized gain is the profit made from selling an asset based on the value of the asset when it was obtained, we have;
Kelly's recognized gain or loss = (The value at which Kelly sells the land) - (The value of the land when the executor distributed the land to Kelly)
Kelly's recognized gain or loss = $48,000 - $49,000 = -$1,000 = ($1,000)
Therefore, Kelly's recognized loss = ($1,000).
Drag numbers to complete the table for missing values of x, x2, and x3.
Answer:
Values are:
x x²
10 100
5
Find the average rate of change over the interval [-4, -1] *
f(x) = x^2?
Answer:
ijbibhibhhhvhj
Step-by-step explanation:
A straight angle measures (5x - 50) degrees. What is the value of x?
Answer:
26
Step-by-step explanation:
180-50=130
130/5=26
I believe.
Find the equation of the line
Y= __x +__
Answer:
y = 1x - 5
m = 1, b = -5
Step-by-step explanation:
This equation that we are solving form is known as slope intercept form: y = mx + b.
Given a graph that intersects the x axis at -5, rises one y every one run of x, the slope must be one as the point where (0,-5) → (1,-4) → (2,-3) → (3,-2)..... you can see that y, and x change by positive one every time, so this is the reasoning. A linear equation is always straight so it's slope is always the same, so you can just pick two points and find the difference in x, and y values to get the slope. Think about it like this, you start with negative five and go up one each x. Therefore, your equation is y = x - 5. As a coefficient of 1 or slope of 1 will leave x by itself since multiplying anything by 1 is itself.
Amber is making a scale drawing of a movie screen. The actual dimisions of a screen in her local theater are 60 ft wide and 20 ft tall. In her scale drawing, the screen has a width of 9 in. What will the height of the screen on her drawing be? a 2 inches b 6 inches c 3 inches d 10 inches
Answer:
c 3 inchesStep-by-step explanation:
Given the dimension in feet
Width = 60 ft
Height = 20 ft
Given the dimension in inches
Width = 9in
Height = ?
To get the height in inches, we will use the equality postulate:
60 ft = 9in
20ft = x
Cross multiply
60x = 9*20
60x =180
x = 180/60
x = 3in
Hence the height of the screen will be 3inches
Can someone tell me the answer please. Identify the vocabulary word that matches the picture.
Simplify the expression using the variable replacements.
2a² – 4bifa= 2andb = 1
Answer:
= 4
Step-by-step explanation:
2a^2-4b
=2(2)^2-4(1)
=2×4-4
= 8-4
=4
Complete the sentence about the relation. There is x and y columns. The x column contains two, eight, thirty, and forty six values. The y column contains minus one, nine, and sixteen values. The first arrow starting from value two of column x and ended at the value minus one in column y. The second arrow started from value eight of column x and ended at sixteen in column y. The third arrow starting from value thirty of column x and ended at value nine in column y. The forth arrow starting from point forty six and ended at value sixteen in column y. The domain of the relation is Choose... and the range is Choose... .
Answer:
Domain is [tex]\{2,8,30,46\}[/tex]
Range is [tex]\{-1,9,16\}[/tex]
Step-by-step explanation:
The relation refers to the collection of ordered pairs, which contains an element from one set to another set.
Domain of a relation [tex]y=f(x)[/tex] is all the values [tex]x[/tex] that go into a function, and the range is a set of all the values [tex]f(x)[/tex] that are obtained for the given domain.
The given relation is [tex]\{(2,-1),(8,16),(30,9),(46,16)\}[/tex]
Here, domain is [tex]\{2,8,30,46\}[/tex]
Range is [tex]\{-1,9,16\}[/tex]
Which one of the following words is a pronoun A) Two B) Him C) Boys D) Go
Answer:
I believe it is Him.
Step-by-step explanation:
Answer:
B) Him
Step-by-step explanation:
Him refers to someone else, and that is exactly what a pronoun does!
if X to the second power is 20, what is the value of X????????? can someone please help meeeeeee
Answer:
[tex] {x}^{2} = \: 20 \\ \sqrt{x \: {}^{2} } = \sqrt{20} \\ x = 4.472135955[/tex]
Answer:
x = 2√5
Step-by-step explanation:
Hi there !
x² = 20
x² = 4×5
x² = 2²×5
x = √2²×5
x = 2√5
Good luck !
you are a contractor installing a brick sidewalk. The portion of the sidewalk will occupancy and area of 100 feet long by 4 feet wide. Each brick will occupy and area 8 inches long by 4 inches wide what is the minimyn nuber of bricks will you need to occupy this area
Answer:
1800 bricks
Step-by-step explanation:
Given
Sidewalk = 100ft by 4ft
Brick = 8 inches by 4 inches
Required
Determine the minimum number of bricks
First, we need to determine the area of both;
[tex]Sidewalk = 100ft * 4ft[/tex]
[tex]Sidewalk = 400ft^2[/tex]
[tex]Brick = 8in * 4in[/tex]
[tex]Brick = 32in^2[/tex]
Number of bricks is calculated as follows;
[tex]Number = \frac{Sidewalk}{Brick}[/tex]
[tex]Number = \frac{400ft^2}{32in^2}[/tex]
Convert ft^2 to in^2
[tex]Number = \frac{400 * 144in^2}{32in^2}[/tex]
[tex]Number = \frac{57600in^2}{32in^2}[/tex]
[tex]Number = 1800[/tex]
What is the Y-intercept and The slope of the equation?
2x+7y=14
Can someone please help me with this!!!
Slope choice:
A. 2/7
B. 7/2
C. -2/7
D. -9
Y-intercept choices
A. 2
B. 7
C. -2
D. 0
Answer:
Slope = -2/7; Y intercept = +2
Step-by-step explanation:
First, for this particular question - we want to convert the equation to slope intercept form! You may recognize it already, it looks like this:
y = mx + b
Here's how:
[tex]2x+7y=14\\2x+7y - 2x = -2x+14\\7y=-2x+14\\\frac{7y}{7} =\frac{-2x+14}{7} \\y = \frac{-2}{7}x+2[/tex]
The above shows this equation in slope intercept form: y = -2/7x + 2.
The slope of this line is -2/7 while the y intercept is 2!
*Note*: In the slope-intercept formula, m stands for the slope, and the b is the intercept!
Hope I was of assistance! Algebra can be a little difficult but you'll get it! Have a nice day and spread the love! <3
(x^2-3x+1)(x^2+2x-1) PLEASE SHOW STEP BY STEP ON HOW YOU GOT THE ANSWER
Answer:
first multiply
2x-3x+1+2x+2x-1
add all like terms
3x+1-1
final answer is 3x
Step-by-step explanation:
Answer:
=x4−x3−6x2+5x−1
Step-by-step explanation:
(x2−3x+1)(x2+2x−1)
=(x2+−3x+1)(x2+2x+−1)
=(x2)(x2)+(x2)(2x)+(x2)(−1)+(−3x)(x2)+(−3x)(2x)+(−3x)(−1)+(1)(x2)+(1)(2x)+(1)(−1)
=x4+2x3−x2−3x3−6x2+3x+x2+2x−1
=x4−x3−6x2+5x−1
Two integers have a difference of 18 and a sum of 2. What is the product of the two integers?
Answer:
the product of the two integers is -80
Answer:
-80
Explanation:
it was on a mathcounts competition
Select the smallest fraction from the following list of fractions.
3/4
2 2/3
3/5
1 1/2
7/8
2/3
H e l p? I don't get this
Answer:
2/3 - 1/6 is 3/6
Step-by-step explanation:
why
bc like this
make 2/3 to 4/6
4/6 -1/6 = 3/6
3/6 is half
ez peasy dude
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Claim 1: A dilation of scale factor 13 with the origin as the center of dilation takes line p to itself.
Answer: I don't really get what you're asking but if you're asking what a scale factor is you multiply each point by that number say point A was -3, 2 you'd do: -3 x 13 and 2 x 13
Step-by-step explanation:
are lines a and b parallel? and could you explain?
expand and simple 3(x-3) - (x-4)
Answer:
Distribute the 3 to the parenthesis, and the -1 to the parenthesis.
This will result to:
3x-9-x+4
2x-5
6(x – 1) = 9(x + 2)
Solve
Answer:
x=−8
Step-by-step explanation:
6(x−1)=9(x+2)
Step 1: Simplify both sides of the equation.
6(x−1)=9(x+2)
(6)(x)+(6)(−1)=(9)(x)+(9)(2)(Distribute)
6x+−6=9x+18
6x−6=9x+18
Step 2: Subtract 9x from both sides.
6x−6−9x=9x+18−9x
−3x−6=18
Step 3: Add 6 to both sides.
−3x−6+6=18+6
−3x=24
Step 4: Divide both sides by -3.
−3x/−3=24/−3
What do you need if you have to write the equation of a parabola?
This straight line outside the parabola is called the directrix. For parabolas that open either up or down, the standard form equation is (x - h)^2 = 4p(y - k). For parabolas that open sideways, the standard form equation is (y - k)^2 = 4p(x - h). The vertex or tip of our parabola is given by the point (h, k).
It takes Aaron 5 minutes to squeeze the juice from 3 grapefruits. At this rate, how many minutes will it take him to squeeze the juice from 12 grapefruits?
Drag a description to match each equation.
Pleaseee I am desperate!
Answer:
y is 4 times x
y is 4 more than x
Step-by-step explanation:
sorry if im wrong
En el rombo la diagonal mayor es la mediatriz de la diagonal menor, ¿verdadero o falso?
Answer:
Creo que eso es cierto también grandes habilidades españolas
Step-by-step explanation:
Solve the system of linear equations by graphing.
y=-x+4.
y= 2x – 8
Step-by-step explanation:
suppose,x=1,2 .so y=1+4=5,2+4=6...eq..(I)
and y=2×1-8=-6,y=2*×2-8=-4
now plot in graph where they intercept with each other i.e x and y
I could plot but it's difficult here..and remember u can suppose any point as x for y
After solving the equations for x and y the value of x is 4 and the value of y is 0.
What is an equation?Equations are mathematical expressions that have two algebra on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.
As per the given equations in the question,
y = -x + 4 (i)
y = 2x - 8 (ii)
Solve the equation for x and then solve it for y as well,
-x + 4 = 2x - 8
-x -2x = -8 -4
-3x = -12
x = 4
Substitute this in equation (i)
y = -4 + 4
y = 0
Therefore, the points are (4, 0)
To know more about equations:
https://brainly.com/question/10413253
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how many miles can the car ride drive on 11 gallons of fuel
Answer:
220
Step-by-step explanation:
There are about 20 miles worth of gas per gallon so 20 x 11 = 220
Aiden is replacing the tile in a rectangular kitchen. The length of the kitchen is nine feet shorter than three times its width, w. The perimeter of the kitchen is six times the width. If tiles cost $1.69 a square foot, what is the total costs to tile the kitchen?
Answer:
Total Cost of tile = $273.28
Step-by-step explanation:
From the given information:
Let the width be = x
Then, the length of the rectangular kitchen is L = 3x - 9
The perimeter is = 6x
Suppose the cost of the tile = $1.69 a square foot.
Then the total costs to tile the kitchen is calculated as follows:
The Perimeter of the rectangle = 2(L + b)
The Perimeter of the rectangle = 2(3x - 9 + x)
The Perimeter of the rectangle = 2(4x-9)
6x = 8x - 18
- 2x = - 18
x = 18/2
x = 9
Thus, the width = x = 9 ft
the length = 3x - 9 = 3(9) - 9
the length = 27 - 9
the length = 18 ft
Area = L × W
Area = (18 × 9)ft
Area = 162 sq. ft.
Cost of a Tile = $1.69 per sq. ft.
Thus;
Total Cost of tile = $1.69 × 162
Total Cost of tile = $273.28
Answer:
$273.78
Step-by-step explanation:
the other guy is wrong my dude