Answer:
The area of triangle ABC is 16 times larger than the area of triangle DEF
Step-by-step explanation:
Step 1: Re-state the input
Given two triangles ABC and DEF are similar with ratio k.
Step 2: Derive the information
Suppose that the triangle ABC is k times larger than triangle DEF.
=> It means that all sides and heights of triangle ABC are k times larger than corresponding sides and heights of triangle DEF.
For example:
AB = k x DE
AC = k x DF
BC = k x EF
=> AB + AC + BC = k x (DE + DF + EF)
=> Perimeter of triangle ABC is k times larger than perimeter of triangle DEF
Step 3: Solve the problem step-by-step
Suppose that AH is the height from vertex A to base BC of triangle ABC and DH' is the height from the vertex D to base EF of triangle DEF.
As the above assumption states:
AH = k x DH'
BC = k x EF
Multiply both sides of the two above equations:
=> AH x BC = DH x EF x k x k
Simplify k components:
=> AH x BC = DH x EF x k^2
Multiply (1/2) to both sides:
=> (1/2) x AH x BC = (1/2) x DH x EF x k^2
Apply the formula to calculate the area of a triangle:
=> Area of triangle ABC = Area of triangle DEF x k^2
In other words:
The area of triangle ABC is (k^2) times larger than area of triangle DEK.
Here, the perimeter of triangle ABC is 4 times larger than the perimeter of triangle DEF => k = 4
Step 4: Make the conclusion
=>The area of triangle ABC is (4^2 = 16) times larger than area of triangle DEK.
Hope this helps!
:)
Which number produces an irrational number when multiplied by 1/4
Answer:
D
Step-by-step explanation:
1/4 x -36 = -9
1/4 x 4/3 = 1/3
1/4 x 12 = 3
But...
1/4 x 0.444444... = 0.111111...
So A is the answer
√12 produces an irrational number when multiplied by 1/4
What is an irrational number?A real number that cannot be expressed as a straightforward fraction is referred to as an irrational number. It cannot be described using a ratio. When p and q are integers and q is not equal to 0, N is not equal to p/q if N is irrational.
Given Four numbers to find the number that will produce an irrational number after dividing by 4. We will check them one by one:
For A, 0.4444:
=> 0.444
After multiplying by 1/4
=> 0.1111111
That can also write as 1/9(Not an irrational number)
For C, -√36:
=> -√36
After multiplying by 1/4
=>-√9/4
That can also write as 3/2(Not an irrational number)
For D, 4/3:
=> 4/3
After multiplying by 1/4
=> 1/3
That can also write as 1/3(Not an irrational number)
For B. √12:
=> √12
After multiplying by 1/4
=> √12/4
=>√(3/4)
That can also writes as √(3/4)(yes, an irrational number)
Therefore, The irrational number in the given option is B √12
Learn more about irrational numbers here:
https://brainly.com/question/17450097
#SPJ2
The diameter of the cylinder is 6 cm.
If the height is triple the radius, what is the volume of the cylinder? Use 3.14 for pi and round to the nearest
hundredth.
Answer:
254.34 cubed centimeters
Step-by-step explanation:
Please answer the question stated below
Answer:
76.58 feet.
Step-by-step explanation:
A yard is 3 feet. Change each value to feet. So then we have 2 pieces of rope that are each 48 feet in length, 1 piece of rope that is 4.17 feet in length, and 1 piece of rope that is 123.25 feet in length. Add these all together. 223.42 is what you get. Subtract this from 300. You get 76.58.
Answer:
132.25 feet
Step-by-step explanation:
total rope they have now= (2x16)+(1x12.5)+(1x123.25)= 167.75
additional rope needed= 300-167.75= 132.25
Step-by-step explanation:
Can someone please help me with this?
Answer:
3/4
Step-by-step explanation:
There are 12 marbles in the bag
9 marbles are not blue
P(not blue) = marbles that are not blue / total marbles
= 9/12 = 3/4
Work out the value of x
[tex]x = 67.5 \\ solution \\ x + 3x + 90 = 360(sum \: of \: complete \: turn) \\ or \: 4x + 90 = 360 \\ or \: 4x = 360 - 90 \\ or \: 4x = 270 \\ or \: x = \frac{270}{4} \\ x = 67.5 \\ hope \: it \: helps[/tex]
Answer: x = 67.5°
Step-by-step explanation:
Is this for area or the magnitude of the angle? Ill solve for the angle. A circle has a total degree of 360. And they give us the right angle of 90°.
So the equation we have here is 90 + 3x + x = 360. Subtract 90 from both sides to get 3x + x = 270. Combine the like terms to get 4x = 270. Now just divide each side by 4 to get 67.5°
What is the vale of of???
Answer:
B
Step-by-step explanation:
Because ∠EDF and ∠BDC are vertical angles, ∠D = 9x. Since ∠ABD and ∠BDC are supplementary, our answer is 2x + 105° + 9x = 180° or B.
Answer:
B
Step-by-step explanation:
∠ BDC = 9x ( vertical angles )
∠ ABD and ∠ BDC are supplementary , thus
∠ ABD + ∠ BDC = 180 , substitute values
2x + 105 + 9x = 180 → B
potatoes are 50p a pound . how much for 24oz
Answer:
25p
Step-by-step explanation:
IM NOT SURE IF ITS RIGHT BUT THAT WHAT I THINK. HAVE A NICE DAY!
Answer:
Hi...
The correct ans is 25 p
Hope this helps.....
Pls mark my ans as brainliest....
Sry dude the calculations r longggggggggggg
Be sure to mark my ans as brainliest
What is 25% of $4007
Answer:
$1001.75
Step-by-step explanation:
Do 4007 x 0. 25 on a calculator
Which is the graph of the linear equation 3x – 4y = –12? On a coordinate plane, a line goes through points (0, 3) and (4, 0). On a coordinate plane, a line goes through points (negative 4, 0) and (0, negative 3). On a coordinate plane, a line goes through points (0, negative 3) and (4, 0). On a coordinate plane, a line goes through points (negative 4, 0) and (0, 3).
Answer:
On a coordinate plane, a line goes through points (negative 4, 0) and (0, 3).
Step-by-step explanation:
I graphed the equation on the graph below so you can where I got my answer.
Answer:
the answer is D
Step-by-step explanation:
hope this helps!
What is 1½ ÷ ⅜ plllllllllllzzzzz help!
Answer:
4
Step-by-step explanation:
1 1/2 ÷ 3/8
Change to an improper fraction
3/2 ÷ 3/8
Copy dot flip
3/2 * 8/3
Cancel like terms
8/2
4
Answer:
4
Step-by-step explanation:
all work is in the image below!
Factor the numerator and denominator and cancel the common factors.
((x - 4) + (x + 2)) *
2x – 2
x2 – 8
x2 – 2x – 8
x2 + 2x – 8
Answer:
the 3 one is 4+5=9876
Step-by-step explanation:
Having a hard time on these 2
Answer:
3. A = 363.3 mm²
4. A= A = 1122.4 yd²
Step-by-step explanation:
pretty sure these are correct
plz mark brainliest!
Lucy’s parents built a swimming pool in the backyard. Use 3.14 for π.
What is the distance around the pool? The distance around the pool is
131.4/ 162.8/ 957/ 1114 feet.
What is the area of the pool? The area is 131.4/ 162.8/ 957/ 1114 square feet.
Answer:
Distance around the pool = 162.8 feet
Area of the pool = 957 square feet
Step-by-step explanation:
Distance around the swimming pool = Perimeter of the pool
Perimeter of the pool which is a composite figure will be,
= Circumference of the semicircle + Sum of three sides of the pool
= πr + 2×(length of the pool) + width of the pool
= 3.14×(10) + 2×40 + 20
= 62.8 + 80 + 20
= 162.8 ft
Area of the pool = Area of the semicircle + Area of the rectangular pool
= [tex]\frac{1}{2}(\pi)(r)^{2}+(\text{length}\times \text{Width})[/tex]
= [tex]\frac{1}{2}(3.14)(10)^2+(40\times 20)[/tex]
= 157 + 800
= 957 square feet
Solve the inequality and enter your solution as an inequality comparing the
variable to a number.
x + 10 > 30
Answer here
SUBMIT
Answer: x > 20
Step-by-step explanation:
x + 10 > 30
-10 -10
x > 20
Answer:
x-3
Step-by-step explanation:
x+7-7>10-7
subtract 7 from both sides
A point is one-dimensional
O A. True
O B. False
SUBMIT
Answer:
This is true.
Step-by-step explanation:
A point can only be on one dimension.
Answer:
FALSE
Step-by-step explanation:
i just took it
What is the 10th of a quarter of 1600
Answer:
40
Step-by-step explanation:
A quarter of 1600: 400
A tenth of 400:40
The value of 10th of a quarter of 1600 is 40.
What is a quarter of a number?A quarter of the number is 1/4 times of the number i.e. times of the number.
Quarter of x= (1/4)*x= 0.25 * x
Given in the question that we have to calculate 10th of a quarter of 1600.
Before that we have to first calculate a quarter of 1600 which is calculated by using the above formula
quarter of 1600= (1/4)*1600= 0.25* 1600= 400
Now we have to calculate 10th of a quarter of 1600 i.e. 10th of 400.
10th of 400= (1/10) * 400= 40
Therefore the value of 10th of a quarter of 1600 is 40.
Learn more about the quarter
here: https://brainly.com/question/382406
#SPJ2
i need help please....
Answer:
34
Step-by-step explanation:
area = (1/2)base * height.
area= half of 17 times 4
a=8.5 x 4
a=34
Answer: C
Step-by-step explanation:
Area = 1/2 bh
Area = 1/2 x 4 x 17
= 34 sq inches
76,45,64, 80, 92
Calculate the sample standard deviation
Answer:
15.94490514
Step-by-step explanation:
First, work out the average, or arithmetic mean, of the numbers:
Count: 5(How many numbers)
Sum: 357(All the numbers added up)
Mean: 71.4(Arithmetic mean = Sum / Count)
Then, take each number, subtract the mean and square the result:
Differences:
4.6, -26.4, -7.4, 8.6, 20.6
(Every Number minus Mean)
Differences^2:
21.16, 696.96, 54.76, 73.96, 424.36
(Square of each difference)
Now calculate the Variance:
Sum of Differences2:1271.2(Add up the Squared Differences)
Variance:254.24(Sum of Differences2 / Count)
Lastly, take the square root of the Variance:
Standard Deviation:15.94490514 (The square root of the Variance)
1/4 ( 8x + 16) + 4x
I apparently need 20 characters for a great answer so ignore this <3
Answer:
2x(3x + 2)
Step-by-step explanation:
Answer
102
Step-by-step explanation:
X means 3 not times, lots of people mess that up sometimes. Anyways, do 8+3 which equals 11. 8+3=11. So next what you do is you do 11 + 16 which is 27,
equations:
8+3=11
11+16=27
21/1=27
27/4= 6.75
6 x 3= 27
27 + 72 + 3= 102
Then go back to the beginning and do 1/4. If this confuses let me fix it.
now divide it with 4. Look at the equations list. Okay now do 6.72/4x. MAKE SURE TO MULTIPLY DON'T DIVIDE! You multiply 6 and 4 then you add 72 and three! Then you should end up with 102! I hope this worked message me back if it did :)
Darin has 5 coins that the total 62%. What are the coins?
please help as quickly as possible
Answer:
54/125
Step-by-step explanation:
2/375, 2/125, 6/125, 18/125
It is obvious the common ratio = 3
The next term = 3*18/125= 54/125
Answer: 54/125
Step-by-step explanation:
Write the equation in standard form for the circle passing through (6, 6) centered at the
origin
Answer:
x² + y² = 72
Step-by-step explanation:
The equation of a circle centred at the origin is
x² + y² = r² ( r is the radius )
The radius is the distance from the centre to a point on the circle.
Use the distance formula to calculate r
r = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (6, 6)
r = [tex]\sqrt{(6-0)^2+(6-0)^2}[/tex]
= [tex]\sqrt{6^2+6^2}[/tex]
= [tex]\sqrt{36+36}[/tex]
= [tex]\sqrt{72}[/tex]
Thus
x² + y² = ([tex]\sqrt{72}[/tex] )² , that is
x² + y² = 72 ← equation of circle
Can someone help me with this please!!!
Answer:
first itself we should do the answer and only we can answer it
Step-by-step explanation:
does anyone know this?
Answer:
16x
Step-by-step explanation:
What goes in the box is
4x * 4
16x
The perimeter of the pentagon is 34 inches. Find the length of the side that is unknown. Explain your thinking.
Answer: side = 6.8 inches
Step-by-step explanation:
Side of pentagon = perimeter/5
= 34/5 = 6.8
Brian has to send 13 parcels it will be cheaper to send the parcels by the express service than by the rapid service.
Answer: £ 260.78
Step-by-step explanation:
Please I need help with this questions.....
Answer:
Correct
Step-by-step explanation:
This report is correct because the most people finished in 4 hours
Answer:
I think you are correct. I hope this helps please tell me if you get it right or wrong.
Step-by-step explanation:
anyone wanna help with this short chart right quick
Answer:
should look like this
Step-by-step explanation:
sorry for the messiness was a quick sketch
An employee at a factory is paid $9.25 per hour plus an $8.00 bonus for every 20 transformers assembled. Last week an employee worked 36 hours and assembled 380 transformers. How much money did the factory employee actually earn per hour last week rounded to the nearest cent?
Answer: -$13.47 per hour
Step-by-step explanation:
Hi, to answer this question we have to write an expression:
The total amount earned by the employee will be equal to the product of the number of hours he worked (36) and the amount paid per hour (9.25) ; plus the product of the amount paid for every 20 transformers assembled (8) and the number of transformers assembled (380)divided by 20 :
9.25 (36) + 8 (380/20) =
Solving:
333+ 8 (19) =
333+152 = $485
If we divide the result by the number of hours:
485 /36 = $13.47 per hour
Feel free to ask for more if needed or if you did not understand something.
Answer:
$13.47 per hour
:):):):):):)
According to the table, during which interval did the
average time spent on hold increase?
week 1 to week 3
week 1 to week 4
week 4 to week 6
week 3 to week 5
Answer:
C
Step-by-step explanation:
Got it correct, Edge2020.
Answer:
c. week 4 to week 6
Step-by-step explanation:
got it right on my test
