A triangle is a polygon. The total area of the figure can be represented by 12a, (6a+b), and 2b cm².
What is a triangle?A triangle is a polygon with 3 sides and 3 vertices.
Since the area of a single triangle is a cm², and the shape is formed of 12 triangles, therefore, the area of the 12 triangles will be equal to,
[tex]\text{Area of the complete figure} = 12 \times a = 12a\rm \ cm^2[/tex]
Given that the area of the complete dark portion is b cm², therefore, the area of the 6 triangles with a cm² of area each, and the black portion can be written as,
[tex]\text{Area of the complete figure} = (6 \times a)+b = (6a+b)\rm \ cm^2[/tex]
As the dark portion also consists of 6 triangles with an area of a cm² each and the total sum of this dark area is b cm². Also, the light portion consists of 6 triangles with an area of a cm². Therefore, the total area can be written as,
[tex]\text{Total area} = 6a+6a = b+b = 2b\rm\ cm^2[/tex]
Thus, the total area of the figure can be represented by 12a, (6a+b), and 2b cm².
Learn more about Triangles:
https://brainly.com/question/2773823
What is 3/4 of 8/9? Make sure the answer is fully reduced.
Answer:
[tex]\frac{2}{3}[/tex]
----------------------------------------------------------------------------------------------------------
Solve"Of" means to multiply, so start off the equation multiplying the top numbers by the top numbers, and the bottom numbers by the bottom numbers as though they are whole numbers.
[tex]\frac{3*8}{4*9} = \frac{24}{36}[/tex]
Find the greatest common factors of 24 and 36, starting with 24
24: 1, 2, 3, 4, 6, 8, 12, 24
36: 1, 2, 3, 4, 6, 9, 12, 18, 36
As shown, the greatest common factors are 12, so divide by 12 to simplify.
[tex]\frac{24 / 12}{36/12} = \frac{2}{3}[/tex]
Two-thirds cannot be simplified, so that will be your final answer.
Solve |d + 4| > 10
a.d<-14
b. d> 6
c. -14 < d<6
d. d<-14 or d > 6
Answer:
b. d > 6
Step-by-step explanation:
Answer:
D. d<-14 or d>6Step-by-step explanation:
To solve for d, isolate it on one side of the equation.
|d+4|>10
d+4<-10 or d+4>101. d+4<-10First, you have to subtract by 4 from both sides.
[tex]\sf{d+4-4 < -10-4}[/tex]
Solve.
Add or subtract the numbers from left to right.
-10-4=-14
[tex]\Longrightarrow: \boxed{\sf{{d < -14}}}[/tex]
2. d+4>10Subtract by 4 from both sides.
[tex]\sf{d+4-4 > 10-4}[/tex]
Solve.
Subtract the numbers from left to right.
10-4=6
[tex]\Longrightarrow: \boxed{\sf{d > 6}}[/tex]
Therefore, the correct answer is "D. d<-14 or d>6".I hope this helps. Let me know if you have any questions.
Which inequality is represented by this graph? A. B. C. D.
The correct answer is C. This is because the shaded part, the y, is less than the line, so it would be <, but the line is not dotted, so then it would be less than or equal to.
Please help! Please break down what equation or process I need to do to get the answer as well :/
Check the picture below.
Find the surface area of the cylinder. Type an exact answer in terms of pi.
Answer:
154π cm²
Step-by-step explanation:
Radius (r) = 7 cm
Height (h) = 4 cm
Surface area of cylinder
= 2πr (h + r)
= 2π (7) (4 + 7)
= 2π (7) (11)
= 2π (77)
= 154π cm²
______
Hope it helps ⚜
Answer:
154π cm²
Step-by-step explanation:
Formula for the Surface Area of a Cylinder
SA = 2πr (h + r)Solving
Here r = 7 cm and h = 4 cmSA = 2πr (h + r)SA = 2π × 7 (7 + 4)SA = 14π × 11SA = 154π cm²Which triangle would be most helpful in finding the distance between the points (-4,3) and (1, -2) on the coordinate
plane?
Answer:
Right Triangle, the distance between these two coordinates is 5.83 in whatever unit you're measuring.
Step-by-step explanation:
Generally when you're using triangles to find the distance between two graphed points, you're using a right triangle.
[tex]9 + 25 = 34\\\sqrt{34}=5.83[/tex]The reason behind that being you can draw lines on the x and y axis of these points and find where they connect. After doing so, you can directly connect the two points and create a right triangle.
To find the distance between the two points using a right triangle, we can use the formula for the hypotenuse: [tex]a^2 + b^2=c^2[/tex]
A and B is the distance between the point and where the lines you've drawn intersect. C is the resulting distance between the two points.
Plugging in A and B, which is 3 and 5, we can find C. 3 squared is 9 and 5 squared is 25.
[tex]3^2 + 5^2 = 9 + 25[/tex]
Now we add the two and find the square root.
[tex]9+25=34\\\sqrt{34} =5.83[/tex]
Your answer is 5.83
Answer number 1 please. Thank you
Answer:
A and B and C
Step-by-step explanation:
D and E are both resulting in answers that are not 2 and 1/2
4x+3y=9 and 3x +4y = 36
The solution of the system of equations:
( -16.7, 19.28)
How to solve the system of equations?
Here we have the system:
4x+3y=9
3x +4y = 36
First, we need to isolate one of the variables in one of the equations, let's isolate x on the second one:
x = 36/3 - (4/3)y = 9 - (4/3)y
Now we can replace this in the other equation:
4*(9 - (4/3)y) + 3y = 9
36 - (16/3)y + (9/3)y = 9
- (7/3)y = -36 - 9 = -45
y = (3/7)*45 = 19.28
To get the value of x, we get:
x = 9 - (4/3)*19.28 = -16.7
Then the solution of the system is ( -16.7, 19.28)
If you want to learn about systems of equations:
https://brainly.com/question/13729904
#SPJ1
Walmart sells birthday cakes for. $18. After 3 days,they markdown the cakes by 45% . What is the discounted price after 3 days has passed?
please help youll get brainliest
Answer:
B) f(x) = 2/5㏒(x) + 2Step-by-step explanation:
Given graph
f(x) = ㏒₂ xChanges
Transformed up by 2 unitsvertically compressed by factor of 0.4Solving
Shifted up by 2 units
f(x) = ㏒₂ (x) + 2Vertically compressed by factor of 0.4
f(x) = 2/5㏒(x) + 2When f(x) = –3, what is x?
–29
–10
–3
–1
Answer:
x = - 1
Step-by-step explanation:
I hope this will help you
Can someone teach me how do this! Please and thanks!
Check the picture below.
6.
April sold 85 tickets to a school play
and collected a total of $495. If adult tickets cost $10 each and child
tickets cost $5 each, how many adult tickets and how many child tickets did she sell?
Answer:
adult tickets =14
child tickets =71
Step-by-step explanation:
x is adult tickets
y is child tickets
x+y=85
10x+5y=495
y=85-x
2x+y=99
2x+（85-x）=99
x=99-85=14
y=85-x=85-14=71
solve the following....
[tex]-16y = 22 + 6x\\-11y - 4x = 15[/tex]
Answer:
x= -19/3
y= 31/33
Step-by-step explanation:
I hope this helps:)
A flowerbed has an area of 12 square meters. What is the largest possible perimeter of the flowerbed?
Answer:
5 feet long and 1 foot wide, and vise versa.
Step-by-step explanation:
First of all, we can make pairs.
Then just look at what I do
(6, 0) <= This can't be possible
(5, 1) <= This is the largest
(4, 2) <= This isn't the largest
(3, 3) <= This isn't the largest
(2, 4) <= This isn't the largest
(1, 5) <= This is the largest
(0, 6) <= This can't be possible
The ones labled "This is the largest" are the correct ones
A rectangular pool has a length of 10 feet, a width of 8 feet, and a height of 6 feet. What is the volume of the pool?
Answer:
volume = 10 x 8 x 6 = 480
Step-by-step explanation:
that’s the volume equation length x width x height
Please help!!!! Will mark brainliest if correct!!
Find the measure of the arc or angle indicated.
A. 60°
B. 90°
C. 30°
Answer: A
Step-by-step explanation:
Sam is designing a survey to determine how people feel about the military adopting a new weapon. Which question would be MOST appropriate for such a survey? A) Should the military adopt the new weapon system called "Skynet?" B) Should the military adopt the new and very expensive weapon system, "Skynet?" C) Should the military adopt a weapon system which could kill millions of people? D) Should the military adopt a weapon system which will ensure that it is up to date?
Answer:
A(should the military adopt the new weapon system called "Skynet?"
Step-by-step explanation:
Hello.
I need help with this question please.
A bag contains red, blue and yellow counters in the ratio 2:3:5
a) What fraction of the counters are red?
b) 9 of the counters are blue. How many of the counters are yellow?
c) How many counters are in the bag?
Pls reply with answers to a,b and c please.
Thanks
Answer:
a) 2/10
b) 15
c) 30
Step-by-step explanation:
Ratio: 2:3:5 = R:B:Y
If we add them all together, we can find the denominator for the fraction of how many counters are in the bag. 2+3+5 = 10.
If the ratio for R = 2, then the fraction is 2/10 (simplified)
If 9 of the counters are blue, to find the number of the other counters, we multiply the ratio numbers by 3 (because 3 x 3 is 9). So, the number of red counters is (2x3) 6, blue is 9, and yellow is (5x3) 15.
Now, to find the total amount, we can add 6, 9, and 15 together to get 30.
Hope this helps. If you require further explanation, let me know!
- profparis
In the game "Let’s Make a Meal" there are 10 covered dishes to choose from:2 broccoli, 2 carrot, 2 cake, 1 chicken, 2 fish, and 1 meatloaf. What is the probability of choosing a vegetable?
Answer: 4/10 chance or 40%
Step-by-step explanation: Vegetables- 4 Others- 6
if the circumference of a circle is 6.28 what is the circles radius
Answer: 1
Step-by-step explanation: Circumference is 2 x 3.14 × radius
6.28 = 6.28 × radius
Radius is 1
A microwave raises the temperature of water by about 90 F in 5 minutes . Which graph has the slope that represents this rate of increase
Answer:
B.
Step-by-step explanation:
Look at all graphs and find 90 deg on the left side. Follow it to the right until you intersect the graph. then go straight down. You must intersect the x-axis is 5 minutes. The only graph that does this is B.
Answer: B.
I think the answer is B because here's the explenation.
3 ounces for every 3/4 cup
What is the solution to the equation 2(×+2. 4)=6. 4
Answer:
0.8
Step-by-step explanation:
2x + 4.8 = 6.4
2x = 6.4 - 4.8
2x = 1.6
x = 0.8
Answer:
x = 0.8Step-by-step explanation:
In the question we're given with an equation that is 2 ( x + 2.4 ) = 6.4 . And we're asked to find the solution of the equation that means we have to find the value of x .
Solution : -
[tex] \longmapsto \: 2(x + 2.4) = 6.4[/tex]
Step 1 : Removing parenthesis by multiplying 2 with x and 2.4 :
[tex] \longmapsto \: 2x + 4.8 = 6.4[/tex]
Step 2 : Subtracting 4.8 on both sides :
[tex] \longmapsto \: 2x + \cancel{4.8} - \cancel{4.8 }= 6.4 - 4.8[/tex]
On further calculations :
[tex] \longmapsto \:2x = 1.6[/tex]
Step 3 : Dividing by 2 on both sides :
[tex] \longmapsto \: \frac{ \cancel{2}x}{ \cancel{2 }} = \frac{1.6}{2} [/tex]
Calculating further :
Here , we have removed decimal from 1.6 . So it'll become 16 and 10 it'll divided by 10
[tex] \longmapsto \:x = \cancel { \frac{16}{2}} \times \frac{1}{10} [/tex]
Step 4 : Cancelling 16 by 2 :
[tex] \longmapsto \:x = \frac{8}{10} [/tex]
[tex] \longmapsto \: \green{\underline{ \green {\boxed{x = 0.8}}}}[/tex]
Therefore value of x is 0.8 .Verifying : -
We are verifying our answer by substituting value of x in given equation. So ,
2 ( x + 2.4 ) = 6.42 ( 0.8 + 2.4 ) = 6.42 ( 3.2 ) = 6.46.4 = 6.4L.H.S = R.H.SHence, Verified .Therefore, our value for x is correct .
#Keep LearningIn a school 50% of learner's are younger than 10 , 1/20 are 10years old and 1/10 are older than 10 but younger than 12, the remaining learner's are 12 years old . If there are 400 learner's in the school ,how many learner's are there in each age group?.
Answer:
1/20=10 years old
In a school 50% of the students are younger than 10, 1/20 are 10 years old and 1/10 are older than 10 but younger than 12, the remaining 70 students are 12 years or older. How many students are 10 years old?
50%= younger than 10
1/20=10 years old
1/10=older than 10 younger than 12
70=12 years or older
50%- 10/20
1/20-1/20
1/10-2/20
10/20+1/20+2/20=13/20
70 students =7/20
1/20 = 10 years old.
7/20 divided by 7 = 1/20
70 divided by 7=10
10 students are 10 years old
Answer:
~ 10 years old ~
Step-by-step explanation:
1/20=10 : )
144=(n+1)^2 this equation should have 2 answers
Answer:
(12)^2=(n+1)^2
12=n+1
12-1=n
n=11
Step-by-step explanation:
another one
(12)^2-(n+1)^2=0
(12-n-1)(12+n+1)=0
either:-
n=11 or n=-13
[tex]~~~(n+1)^2 =144\\\\\implies n+1= \pm\sqrt{144}\\\\\implies n+1 = \pm12\\\\\implies n = \pm12 -1\\\\\text{Hence,}~ n = 11 ~\text{and}~ n = -13[/tex]
write 701.3% as a whole number or mixed number in simplest form
7013/10
Step-by-step explanation:
first, count the decimal to the right
as you can tell, we can only do it once so therefore we get 10
we then multiply 701.3/1 both sides with 10
then we get out answer 7013/10
two tenths plus blank equals forty nine hundredths
a
fifty one hundredths
b
twenty nine hundredths
c
forty seven hundredths
d
ninety eight hundredths
Answer:
b blank = 29/100
Step-by-step explanation:
2/10 + blank = 49/100
blank = 49/100 - 2/10
We need a common denomonator of r10 and 100. We can use 100.
blank = 49/100 - 20/100
blank = 29/100
Which of the following is the difference of two squares? 16a^2-9b^6 4g-16h 25m^2+100n^2 2x^2-4y^2
Answer:
16a^2 - 9b^6
Step-by-step explanation:
16a^2 - 9b^6 ---> 16a² is the square of 4a; 9b^6 is the square of 3b³
This is the difference of 2 squares
4g - 16h ---> 4g and 16h are not perfect squares.
25m^2 + 100n^2 ---> this is a sum of squares, not a difference of squares
2x^2 - 4y^2 ---> 2x² is not a perfect square
Answer: 16a^2 - 9b^6
IKEA has 6428 glass tables. 5472 People bought glass tables. How many Glass tables left? ikea needs a raise man®™™™‰£
ok awnser
Answer:
956 glass tables would be left.
Step-by-step explanation:
Well, if each person bought a single table and since it would be impossible for all of them to by more than 1 or to buy an amount between 2 and 1, we can find the answer by subtracting 5472 from 6428.
6428 - 5472 is equal to 956.