Answer:
Similar
Step-by-step explanation:
Both triangles have corresponding sides, so they are similar.
The two triangles A and B are similar to each other.
What is the similarity?If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.
Given that triangle, A has side lengths 3,4, and 6. Triangle B had side lengths 6,8 and 12.
The second triangle is dilated by factor 2. This means in triangle B the sides are two times the side of triangle A.
Therefore, the two triangles A and B are similar to each other.
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Does 2 times 36 equal 3 times 24
Answer:
Yes
Step-by-step explanation:
[tex]2 * 36 = 72\\ 3 * 24 = 72[/tex]
Answer:
Yes.
Step-by-step explanation:
2 times 36 = 72 and 3 times 24 = 72
Hope this helped! ^-^
People attending a baseball game either supported the home team or the visiting team. If 1144 of the people attending supported the home team and 1456 supported the visiting team, what percentage supported the home team?
Answer:
44%
Step-by-step explanation:
2.7 A 3400-lb car is traveling in third gear (overall gear reduction ratio of 2.5 to 1) on a level road at its top speed of 130 mi/h. The air density is 0.00206 slugs/ft3 . The car has a frontal area of 19.8 ft2 , a drag coefficient of 0.28, a wheel radius of 12.6 inches, a drive axle slippage of 3%, and a drivetrain efficiency of 88%. At this vehicle speed, what torque is the engine producing and what is the engine speed (in revolutions per minute)?
Answer:
1) The engine torque is approximately 134.33 N·m
2) The speed of the engine is approximately 4,469.15 revolutions per minute
Step-by-step explanation:
1) The drag coefficient, [tex]c_d[/tex], is given by the formula;
[tex]c_d = \dfrac{2 \cdot F_d}{\rho \cdot u^2 \cdot A}[/tex]
Where;
[tex]c_d[/tex] = 0.28
[tex]F_d[/tex] = The drag force
ρ = The fluid density = 0.00206 slugs/ft³ = 1.06168037 kg/m³
u = The object's flow speed = 130 mi/h = 58.1152 m/s
A = The frontal area = 19.8 ft² = 1.83948 m²
[tex]F_d = \dfrac{c_d \cdot \rho \cdot u^2 \cdot A }{2}[/tex]
∴ [tex]F_d[/tex] = (0.28 × 1.06168037 × (58.1152)² × 1.83948)/2 ≈ 923.4 N
We have;
[tex]F_d = \dfrac{M_e \cdot \varepsilon _0 \cdot \eta _d }{r}[/tex]
Where;
[tex]M_e[/tex] = The engine torque
ε₀ = The overall gear reduction ratio = 2.5
[tex]\eta _d[/tex] = The drivetrain efficiency = 0.88
r = The wheel radius = 12.6 inches = 0.32004 meters
[tex]\therefore M_e = \dfrac{F_d \cdot r }{ \varepsilon _0 \cdot \eta _d}[/tex]
[tex]\therefore M_e = \dfrac{F_d \cdot r }{ \varepsilon _0 \cdot \eta _d} \approx \dfrac{923.4 \times 0.32004 }{ 2.5 \times 0.88} \approx 134.33 \ N\cdot m[/tex]
The engine torque = [tex]M_e[/tex] ≈ 134.33 N·m
The engine torque ≈ 134.33 N·m
2) The speed of the engine, [tex]n_e[/tex], is obtained from the following formula;
[tex]v = \dfrac{2 \cdot \pi \cdot r \cdot n_e \cdot (1 - i)}{\varepsilon _0}[/tex]
Where;
v = The vehicle's speed = 130 mi/h = 58.1152 m/s
r = The wheel radius = 12.6 inches = 0.32004 meters
i = The drive axle slippage = 3% = 3/100 = 0.03
ε₀ = The overall gear reduction ratio = 2.5
[tex]\therefore n_e = \dfrac{v \times \varepsilon _0 }{2 \times \pi \times r \times (1 - i)} = \dfrac{58.1152 \times2.5 }{2 \times \pi \times 0.32004 \times (1 - 0.03)} \approx 74.486 \ rev /second[/tex]
The speed of the engine in revolution per minute = 60 seconds/minute × 74.486 rev/second ≈ 4,469.15 revolutions per minute
The speed of the engine ≈ 4,469.15 revolutions per minute.
if 3 kg of beans cost $1.50, how much does 2 kg cost
Answer:
2/3 of the price
Step-by-step explanation:
The ratio of money in Terry's bank account to Faye's bank account was 3:7.
Terry then put £220 in his account and Faye withdrew £300 from her account.
They now had the same amount in their accounts.
How much did Terry initially have?
Answer:
£390
Step-by-step explanation:
The ratio of money in bank:
Terry : Faye
3 : 7
Terry put £220 in his account
Faye withdrew £300 from her account
Unknown:
Initial amount Terry had = ?
Solution:
Let the real amount terry has = 3x
Faye will have = 7x
Now;
3x + 220 = 7x -300
Solving this equation:
3x + 220 = 7x -300
3x - 7x = -300 - 220
-4x = - 520
4x = 520
x = 130
Originally, Terry has 3x = 3 x 130 = £390
Put these numbers in order from least to greatest
4.9 4.5 314
Find the general term of the quadratic sequence 3, 6, 11, 18, 27,....,...
Answer: 39.
Step-by-step explanation:
As 3+3=6, 6+5=11,11+7=18,18+9=27,27+11=39.
On a set of parallel lines cut by a transversal m<2=(7x-5) and m<6=(x+25) which value of x could show that <2 and <6 are corresponding angles
Answer:
X = 5
Step-by-step explanation:
When the lines are parallel, the corresponding angles are equal in measure then:
m<2 = m<6
7x - 5 = x + 25
7x - x = 25 + 5
6x = 30
x = 5
A triangle has the vertices A (-2, 4), B (-2,-2), and C (2,-2). If the triangle undergoes a dilation and has new vertices A' (-1, 2), B'(-1,-1), and C' (1, -1), what is the scale factor?
A) 1/2
B) -1/2
C) 2
D) -2
Answer: Its A
Step-by-step explanation:
HELP ME PLEASE HURRY
Answer:
x=-2
Step-by-step explanation:
help me pleaseeeeeeeeeeeeeeeeeeeeeee
12. The table shows the height in feet of a stack of medium sized moving boxes. What is the height of a stack of 14 boxes
height = 2.25 * box.
So, 14 boxes = 2.25 * 14 = 31.5.
An open, rectangular box with length of 6 feet, width of 4 feet, and height of 2.5 feet is to be painted on all exterior sides, including the bottom, with a special waterproof coating. Each gallon of this special coating covers 12 square feet of surface area and costs $36.00. The box is then to be filled with water that weighs approximately 62 pounds per cubic foot.
Complete Question
An open rectangular box with length of 6 feet, width of 4 feet and height of 2.5 feet is to be painted on all exterior sides, including the bottom, with a special waterproof coating. Each gallon of this special coating covers 12 square feet of surface area and costs $36.00. The box is then to be filled with water that weighs approximately 62 pounds per cubic foot.
A. Find the cost of painting this open box.
B. Find the weight of the water in the filled box
Answer:
A
[tex]x = \$ 294[/tex]
B
[tex]z = 3720 \ pounds[/tex]
Step-by-step explanation:
From the question we are told that
The length is [tex]l = 6 \ ft[/tex]
The width is [tex]b = 4 \ ft[/tex]
The height is [tex]h = 2.5 \ ft[/tex]
Generally the total surface area of the open, rectangular box is mathematically represented as
[tex] T_ A = 2lb + 2lh + 2bh[/tex]
=> [tex] T_ A = 2(6 * 4) + 2(6 * 2.5) + 2(4 * 2.5)[/tex]
=> [tex] T_ A = 98 \ ft^2 [/tex]
From the question we are told that
$36.00 worth of paint covers [tex]12 ft^2[/tex]
So $x worth of paint covers [tex]98 \ ft^2[/tex]
=> [tex]x = \frac{98 * 36}{12}[/tex]
=> [tex]x = \$ 294[/tex]
Generally the volume of the open, rectangular box is mathematically represented as
[tex]V = l * b * h[/tex]
=> [tex]V = 6 * 4 * 2.5[/tex]
=> [tex]V = 60 \ ft^3 [/tex]
From the question we are told that
[tex]1 ft^3[/tex] weigh 62 pounds
[tex] 60 \ ft^3[/tex] weigh z pounds
=> [tex]z = \frac{60 * 62}{1}[/tex]
=> [tex]z = 3720 \ pounds[/tex]
what is the square root of 30.3 rounded to the nearest hundreth
How do I solve this?(tangent segment)
Answer:
x = 6
Step-by-step explanation:
Given a tangent and a secant from an external point to the circle, then
The square of the tangent is equal to the product of the measures of the external part and the entire secant, that is
x² = 4(4 + 5) = 4 × 9 = 36 ( take the square root of both sides )
x = [tex]\sqrt{36}[/tex] = 6
PLEASE PLEASE HELP!!!!WILL MARK BRAINLIEST
what postúlate proves the triangle congruent
a.ASA
b.HL
c.SAS
d.SSS
e.AAS
1+1+1+1+1+1+2+2+2+3+4=4=====+2233=+
Answer:
78
Step-by-step explanation:
what is 23^a + 23^b ?
Answer:
23^a + 23^b
Step-by-step explanation:
You can't simplify this further because they are different variables.
A family of 5 is going on a cross-country vacation. For a bit of variety, the family of 5 decides that they will frequently change the seating arrangement in their 5-seated vehicle. How many seating arrangements can they make if ALL of them have their driver's license.
Answer:
Step-by-step explanation:
This questions bothers permutation since permutation talks about arrangement.
The number of ways n objects can be arranged is n! ways
n! = n(n-1)(n-2)!
If a family of 5 is going on a cross-country vacation, and decided to change their seating arrangement. The total seating arrangement that they can have is;
5! = 5*4*3*2*1
5! = 20*6
5! = 120 different arrangements
Work out the value of (2x10^4)+(7x10^3) in standard form
Answer:
27000xStep-by-step explanation:
Answer:
27000
Step-by-step explanation:
(2 * 10^4) + ( 7 * 10^3)
rewrite in standard form
20000 + 7000
solve
= 27000
B. In Buffalo, New York, the temperature was -14°F in the morning. If the temperature
dropped 7°F, what is the temperature now? ( 1 mrks)
Answer:
-21
Step-by-step explanation go up in negitive #s just stay in negitive
-14,-15,-16,-17,-18,-19,-20,-21!
Find the LCM (least common multiple) of 15 and 8.
LCM =
Answer:
120
Explanation:
Because I need 20 characters
Answer: The answer to this math question about finding The Least Common Multiple (LCM) of 15 and 8 is 120.
Step-by-step explanation: This is the same thing, according to the online calculator website called, "Calculatorsoup.com", I chose to find the list of the multiples given with the pair of the numbers, so anyways, here are the following steps in order to find The Lowest Common Multiple (LCM) with the given following pairs #15 and #8 are being shown here below:
Find and list multiples of each number until the first common multiple is found. This is the lowest common multiple.1. Here are the list of the multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136.
2. Here are the list of the multiples of 15: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150.
So, therefore, the answer to this math question about finding The Lowest Common Multiple (LCM) of the given pair numbers for #15 and #8 is LCM(8, 15) = 120. As always to remember the legends, according to the online calculator website is called, "Calculatorsoup.com", the bold and the underline is being indicated that the first common multiple is founded, and without the given bold and the underline is being indicated that the first common multiple has not been found yet.I hoped that my given answer with my given explanation is very helpful to your own math question about finding The Lowest Common Multiple (LCM) of the given pair numbers, also using my given hint to find the first common multiple is also helpful to your own math question as well according to the online calculator website is called, "Calculatorsoup.com", that's all for today, please mark me as Brainliest and have a rest of a great day! :D
Sincerely,
Jason Ta,
The ambitious of Brainly and the role of The TDSB and WHCI Student of The High School.
An indoor water park has two giant buckets that slowly fill with 1000 gallons of water before dumping it on the people below. One bucket dumps water every 18 minutes. The other bucket dumps water every 16 minutes. It is currently 2:45 P.M. And both buckets dumped water 15 minutes ago. Find the next two times that both buckets dump water at the same time.
Answer:
The next two times both buckets dump water at the same time are 4:54 P.M and 7:18 P.M.
Step-by-step explanation:
From the question, one bucket dumps water every 18 minutes, say bucket A;
and the other bucket dumps water every 16 minutes, say bucket B.
Also, It is currently 2:45 P.M. and both buckets dumped water 15 minutes ago,
that is, both buckets dumped water at 2:30 P.M.
For bucket A, the next times it will dump water will be:
2:48 P.M, 3:06 P.M, 3:24 P.M, 3:42 P.M, 4:00 P.M, 4:18 P.M, 4:36 P.M, 4:54 P.M, 5:12 P.M, 5:30 P.M, 5:48 P.M, 6:06 P.M, 6:24 P.M, 6:42 P.M, 7:00 P.M, 7:18 P.M, 7:36 P.M, 7:54 P.M, 8:12 P.M, 8:30 P.M etc.
For bucket B, the next times it will dump water will be:
2:46 P.M, 3:02 P.M, 3:18 P.M, 3:34 P.M, 3:50 P.M, 4:06 P.M, 4:22 P.M, 4:38 P.M, 4:54 P.M, 5:10 P.M, 5:26 P.M, 5:42 P.M, 5:58 P.M, 6:14 P.M, 6:30 P.M, 6:46 P.M, 7:02 P.M, 7:18 P.M, 7:34 P.M, 7:50 P.M etc.
From above, we observe that the next two times both buckets dump water at the same time are 4:54 P.M and 7:18 P.M.
Hence, the next two times both buckets dump water at the same time are 4:54 P.M and 7:18 P.M.
A triangle has sides of length 30 98 and 103 is it a right angle
Answer:
No because by definition, theres is no exact 90 degree angle to form a Right angle triangle
Answer:
No this triangle is not a right angle because right angle have exactly 90° value, corresponding to quarter turn.
Review the graph of y = sin(x). Based on the graph, what are the domain and range of the sine function? Y 3+ 2+ domain: [0, 2TT); range: [-1, 1] O domain: (-1, 1); range: [0, 2TT) domain: (-1, 1); range: (-0, 0) domain:(-0, 0); range: [-1, 1] I JT 57 Зл 4 Зл 7л 2 2 4 -1+ -2+ -3+
Answer:
The right answer is domain: (-∞, ∞); range: [-1, 1] ⇒ D
Step-by-step explanation:
In any function,
Domain is the values of x
Range is the values of y corresponding to x
In the function y = sin(x),
∵ The graph ends with arrows
→ That means there is many cycle not 1 cycle
∴ x ∈ R
→ That means x can be any value from -∞ to ∞
∵ x is the domain of the function
∵ R is the set of real numbers
∴ Domain = {x : x ∈ R} = (-∞, ∞)
∵ sin([tex]\frac{\pi}{2}[/tex]) = 1
∵ The greatest value of y is 1 at x = [tex]\frac{\pi}{2}[/tex]
∵ sin([tex]\frac{3\pi}{2}[/tex]) = -1
∵ The smallest value of y is -1 at x = [tex]\frac{3\pi}{2}[/tex]
∴ -1 ≤ y ≤ 1
∵ y is the range of the function
∴ Range = {y : -1 ≤ y ≤ 1} = [-1, 1]
∴ The right answer is domain: (-∞, ∞); range: [-1, 1]
Answer:
D: domain: (–ꝏ, ꝏ); range: [–1, 1]
Step-by-step explanation:
Hope this helps whoever needs more clarification.
are some integers irrational
When a geometric figure turns about a certain point it is called a_____
Answer:
rotation
Step-by-step explanation:
hope this helps
Answer:
Rotation (✿◠‿◠)
Please help me I really need it Big points for help.
The three Miller boys were calculating the volume of their new fish tank to determine how many gallons of water the tank can hold. Each brother measured a different dimension of the tank. Their measurements were 1 yard in length, 1 foot in width, and 18 inches in height.
1. There are approximately 7.5 gallons per cubic foot. If you want to know how many gallons of water the tank can hold, what unit of measure would you use to calculate the volume of the fish tank? Explain why
2. Determine how many gallons of water the fish tank can hold. Carefully show your work and include units of measure.
1. Because you know the number of gallons per square foot. You would want to use cubic feet for the measurement of the tank.
2. Convert all dimensions to feet:
1 yard = 3 feet
18 inches = 1.5 feet.
Volume of tank = 3 x 1.5 x 1 = 4.5 cubic feet.
Multiply gallons per cubic foot by cubic feet of tank:
7.5 x 4.5 = 33.75 gallons.
What value is missing from the table ?
Answer:
B
Step-by-step explanation: