The sketch of this crayon represents an irregular polygon. Find the area of the figure. 21.75 cm²
75 cm²
37.5 cm²
40.5 cm²
Answers
The total area of the sketch will be 40.5 cm².
What is Area?The area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.
Given, The sketch of this crayon represents an irregular polygon.
Dimension of the polygon are given in the figure,
To calculate the area of the given figure first we need to break this into two parts:
The first one will be rectangular form with a length of 12.5 cm and a width of 3 cm
The second one will be in triangular form with a height of 2 cm and a base of 3 cm.
Area of rectangle = length * width
in our case,
Area of rectangle = 12.5*3
Area of rectangle = 37.5 square cm
Area of triangle = 1/2 base *height
In our case,
Area of triangle = 1/2* 3 * 2
Area of triangle = 3 square cm
So,
The total area of the sketch = area of rectangle +area of the triangle
The total area of the sketch = 37.5 + 3
The total area of the sketch = 40.5 Square cm
Therefore, the total area of the sketch will be 40.5 cm².
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Related Questions
Explain how to solve the equation
b - 7 = 12
Answers
Answer:
add 7 on both sides. b-7+7=12+7 to eliminate 7. you get b=19. hope this helps.
The vertices of quadrilateral MNPQ are M(−3,−2),N(−1,4),P(2,4), and Q(4,−2). Translate quadrilateral MNPQ using the vector ⟨3,−4⟩.
Answers
Answer:
M'(0,-6),N'(2,0),P'(5,0) and Q'(7,-6)
Step-by-step explanation:
We are given that the vertices of quadrilateral MNPQ are M(-3,-2),N(-1,4),P(2,4) and Q(4,-2).
We have to translate the quadrilateral MNPQ using vector <3,-4>
The translate the coordinates of vertices (x,y) using the vector <a,b> is given by the rule
[tex](x,y)\rightarrow (x+a,y+b)[/tex]
Using the rule
The new coordinates of M
[tex](-3,-2)\rightarrow (-3+3,-4-2)[/tex]
[tex](-3,-2)\rightarrow (0,-6)[/tex]
The new coordinates of N
[tex](-1,4)\rightarrow (2,0)[/tex]
The new coordinates of P
[tex](2,4)\rightarrow (5,0)[/tex]
The new coordinates of Q
[tex](4,-2)\rightarrow (7,-6)[/tex]
Hence, after translation the new vertices of quadrilateral are
M'(0,-6),N'(2,0),P'(5,0) and Q'(7,-6)
Here are the ingredients to make 12 cupcakes.
For 12 cupcakes
200 g butter
200 g caster sugar
4 eggs
250 g flour
Mark is making cupcakes to sell at his school play.
Mark wants to make 1 cupcake for each adult and 2 cupcakes for each child.
There will be 152 adults and 80 children at the school play.
Mark can get these ingredients from the school kitchen.
5 kg butter
5 kg caster sugar
90 eggs
5 kg flour
Make a shopping list of any ingredients Mark still needs, showing the amount of each
ingredient.
Answers
Answer:
Mark needs 2 kg butter, 2 kg caster sugar, 14 eggs, and 1.5 kg flour.
Step-by-step explanation:
Alright, first you double the number of kids, as Mark wants each kid to have two cupcakes, not one. (Then add 80+80 to get 160)
Now add the adults to children: 160+152=312
now divide by 12 to see how many batches of cupcakes he needs to make.
312÷12=26 So he needs to make 26 batches
Now here are the ingredients needed to make 12 batches of cupcakes (I multiplied the amount of each ingredient by 26)
5200 g (5.2 kg) butter, 5200 g (5.2 kg) caster sugar, 104 eggs, and 6500 g (6.5 kg) flour.
now make the measurements the same as Mark's ingredients (or the other way around)
(to save time I am not showing each one, just the normal ingredients turned into kg and compared)
5 kg butter < 5.2 kg butter
5 kg caster sugar < 5.2 kg butter
90 eggs < 104 eggs
5 kg flour < 6.5 kg flour
Now do a little subtraction.....
5.2 kg-5 kg = 2 kg butter is needed....
5.2 kg - 5 kg = 2 kg caster sugar is needed....
104 - 90 = 14 eggs needed....
6.5 kg - 5 kg = 1.5 kg flour needed....
And there you go!!! Hope this helped!!! :D
The amount of ingredients that Mark still requires after getting it from the kitchen is needed.
The amount of ingredients Mark still needs is
200 g of butter
200 g of caster sugar
14 eggs
1500 g of flour
The number of cupcakes that are needed for 152 adults and 80 children is
[tex]152+2\times 80=312[/tex]
For the 12 cupcakes the ingredients are
200 g butter
200 g caster sugar
4 eggs
250 g flour
For 1 cupcake the ingredients are
[tex]\dfrac{200}{12}=\dfrac{50}{3}\ \text{g}[/tex] of butter
[tex]\dfrac{200}{12}=\dfrac{50}{3}\ \text{g}[/tex] of caster sugar
[tex]\dfrac{4}{12}=\dfrac{1}{3}[/tex] eggs
[tex]\dfrac{250}{12}=\dfrac{125}{6}\ \text{g}[/tex] of flour
For 312 cupcakes
[tex]312\times \dfrac{50}{3}=5200\ \text{g}[/tex] of butter
[tex]312\times \dfrac{50}{3}=5200\ \text{g}[/tex] of caster sugar
[tex]312\times \dfrac{1}{3}=104[/tex] eggs
[tex]312\times \dfrac{125}{6}=6500\ \text{g}[/tex] of flour
The required ingredients are
[tex]5200-5000=200\ \text{g}[/tex] of butter
[tex]5200-5000=200\ \text{g}[/tex] of caster sugar
[tex]104-90=14[/tex] eggs
[tex]6500-5000=1500\ \text{g}[/tex] of flour
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Is(1, 9)a solution to the inequality y ≤ 6x + 2?
Answers
Answer:
nope
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
It wouldn't be 1,9 it would 1,8 instead also if need help with those an app called desmos helps a lot
Over the summer Marty reads 4 times as many pages as the number of pages Nelson and Jennifer read combined Marty reads 1,860 pages and Nelson reads 240 pages
Answers
Can someone help me I don't know how to do it?Please and thank u
Expand - 2 (1 - 2x + 2)
Answers
= 4x-6
Make sure to distribute everything and then combine like terms.
Answer: 4x-6
Answer:
Step-by-step explanation:
solution -4x+6
3. Ivan has completed 45% of his walk.
He has already walked 9 km. How much farther does he have left to walk?
Answers
Answer:
11
Step-by-step explanation:
The required distance left to the walk will be 11 km.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
Let the total distance of the walk would be x km
As per the given information, the required solution would be as:
⇒ 45% of x = 9
45% is expressed as 45/100 in fractional form
⇒ (45/100)x = 9
45/100 is expressed as 0.45 in decimal form
⇒ 0.45x = 9
⇒ x = 9/0.45
⇒ x = 20
So the total distance of the walk is 20 km
Since he has already walked 9 km.
So, he has left to the distance of the walk = 20 - 9 = 11 km
Therefore, the required distance left to the walk will be 11 km.
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pls help due asap
thanks
Answers
Answer:
D) CE=10
Step-by-step explanation:
FG=6x-7
CE=18-4x
2FG=CE
2(6x-7)=18-4x
12x-14=18-4x
simplify
16x=32
x=2
substitute
CE=18-4(2)
CE=18-8
CE=10
Answer:
I don't understand what you're trying to ask the picture is blurry
Help I nee this ASAP, What is the price of 1 tennis ball if a package of three tennis balls cost $4.95?
Answers
Answer:
$1.65
Step-by-step explanation:
4.95/3=1.65
Answer:
One tennis ball costs $1.65
Step-by-step explanation:
?= price of one tennis ball
1 - ?
3 - 4.95
Solve: 4.95×1÷3= 1.65
What is m∠DEF?
Enter your answer in the box.
There is a triangle DEF in which side DE is congruent to side EF and G is the midpoint of the side DF. Segment EG intersect the side DF at point G. The measure of angle DEG is (3y+4) degrees and the measure of angle FEG is (5y-10) degrees.
Answers
Answer:
m<DEF = 8y - 6
Step-by-step explanation:
Given that: DEG = [tex](3y +4)^{o}[/tex], and FEG = [tex](5y-10)^{o}[/tex].
The given triangle is an isosceles triangle with sides DE ≅ DF.
But,
m<DEF = DEG + FEG
= [tex](3y +4)^{o}[/tex] + [tex](5y-10)^{o}[/tex]
= 3y + 4 + 5y - 10
= 8y - 6
m<DEF = 8y - 6
Therefore, the measure of < DEF is 8y - 6.
This car dealership pays the salesperson a bonus for selling the car equal to 6.5% of the sale price. How much commission did the salesperson lose when they decided to offer a 10% discount on the price of the car? Show your work.
Answers
Answer: 1%
Step-by-step explanation:
Let x be the sale price.
Commission = 6.5% of x = 0.065x (Before discount)
Discount amount = 10% of x = 0.1x
Final sales price = x- 0.1x = 0.9x
Commission after discount = 6.5% of (0.9x)
= 0.065 (0.9x)
= 0.0585x
Loss = ( Commission before discount ) - (Commission after discount )
= 0.065x - 0.0585x
= 0.0065x
Loss percent = [tex]\dfrac{0.0065}{0.65}\times100=1\%[/tex]
Hence, the salesperson lose 1% when they decided to offer a 10% discount on the price of the car.
The sales person lost a commission of 10%.
Let's assume that the price of the car is 1000. The commission the salesperson earns is $65(0.065 x 1000). The price of the car after the 10% discount is $900 (0.9 x 1000). The commission the salesperson earns on the discounted car is $58.5(0.065 x $900). The commission lost = (58.5 / 65) - 1 = 10%To learn more about how to calculate discounts, please check: https://brainly.com/question/9350849
Solve 6 - 5x = 7 + 3x
Answers
Answer:
hol up
x=-1/8 negative one over eight
Step-by-step explanation:
Simplify Using the Distributive Property –(3a2 + 5a - 4)
Answers
Answer:
[tex]-3a^2 - 5a + 4[/tex]
Step-by-step explanation:
N/A
Answer:
-3a2 -5a +4
Step-by-step explanation:
since there us a negative at the front, the sign/ operations change
Y=x (58 power) /5
solve for y
Answers
Answer:
y = x^58/5
Step-by-step explanation:
Nothing further can be done with this topic. just remove the parentheses and it becomes x^58 and u cannot dive because they’re like terms
Evaluate the function. f(x)=-4x^2+10 find f(-2)
Answers
Answer:
[tex]f(-2)=-6[/tex]
Step-by-step explanation:
[tex]f(x)=-4x^{2} +10[/tex]
At x=-2
[tex]f(-2)=-4(-2)^{2} +10[/tex]
[tex]f(-2)=-4(4) +10[/tex]
[tex]f(-2)=-16 +10[/tex]
[tex]f(-2)=-6[/tex]
1 and 2 is all I need and you guys would help me from not getting beat
Answers
Answer:
1. -10
2. -11
Step-by-step explanation:
Use the description below for Exercises. A rectangle has a length of 12 inches and a perimeter of 42 inches.
The rectangle is dilated using a scale of 4. Find the perimeter and the area of the dilated rectangle.
Answers
Answer:108
Step-by-step explanation:
12+12+42+42
please help like right now
Answers
Answer:
y-interceptSloperise over runnegativepositiveUndefinedZeroSlopey-interceptStep-by-step explanation:
I'm not sure about what the answer is for the last two questions. If somebody else does know please right it in the comment section. :)
A new watch costs $120 at the store. If it goes on sale for 75% off and has a sales tax of 6%, what is the final cost of the watch?
Answers
You pay $11.20 to buy drink boxes for the football team. Each drink box cost $0.40. How many drink boxes did
you buy?
Answers
13 Points. Find the perimeter.
Answers
Answer:
15.7 cm
Step-by-step explanation:
The perimeter of the entire circumference is
entire perimeter = 2п r
п = 3.14 (aprox)
r = radius = 3cm
entire perimeter = 2*3.14*3 = 18.84 cm
the entire perimeter of the circumference corresponds to 360 degrees
then,
proportions:
18.84 cm ⇔ 360°
F cm ⇔ 300°
F = 18.84*300/360
F = 15.7 cm
Classify this triangle by its sides?
Answers
Answer:
Scalene
Step-by-step explanation:
Rewrite in y=mx+b form
- (y + 2) = 2(2x + 1)
Answers
Answer:
y=-4x-4
Step-by-step explanation:
Answer:
y=-4x+4
Step-by-step explanation:
Use order of operations, PEMDAS, to put it in y=mx+b form.
Identify who made the error and what she did wrong.
1) Amelia made the error when she added 3.
2) Amelia made the error when she subtracted 4x.
3) Susie made the error when she subtracted 2.
4) Susie made the error when she subtracted 2x.
Answers
When you are moving the number to the other side, you are supposed to change the sign.
She was supposed to add 2, not subtract.
Simplify: (3x-4)+(-2x+8).
Answers
Answer:
Step-by-step explanation:
x+4
Help me out please and thank you ;)
Answers
Explanation:
Shoe size and letters in your name have nothing to do with each other
can someone help me out here pls?
how much butter is needed to make a cake for 10 people
ingredients for 4 person cake
'80g plain flour'
'60g almonds'
'90g brown sugar'
'60g butter'
Answers
The slope of the line below is 5. Which of the following is the point-slope form
of the line?
(-1,3)
5
A. y + 3 = -5(x - 1)
B. y + 3 = 5(x - 1)
C. y - 3 = 5(x+1)
D. Y-3 = -5(x + 1)
Answers
The point-slope form of the line in the graph is y-3 = 5(x+1). The correct option is C.
What is the point-slope form of the line?The point-slope form of the line is y-y₁ = m( x-x₁)
Here, m is the slope of the line.
The graph given in the question has a slope of 5
It passes through the point ( -1,3)
The point slope form of the line is
y - 3 = 5 ( x - (-1))
y-3 = 5(x+1)
This is represented by option C.
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5m=−10
Please
Help
Vinnie
Answers
m=-2
-2*5=-10
Hope this helps!
May I please have brainliest? :D
A box of tissues has a length of 11.2 centimeters,a width of 11.2 centimeters and a height of 13 centimeters.What is the volume of the tissue box?
Answers
Answer:
The volume of the box is 1630.72
Step-by-step explanation:
11.2x11.2x13= 1630.72
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