Answer:
1 1/8 inches.
Step-by-step explanation:
As the sails are similar, corresponding sides are in the same ratio, so we have the equation
:24/3 = 9/b where b = base of the souvenir boat.
Cross multiply:
24b = 9*3
b = 27/24
= 1 1/8 inches.
Based on the shape of the souvenir and dimensions of boat, the base of the souvenir's sail is 1.125 inches
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
WE need to find the base of the souvenir sail.
Given that sail on the souvenir boat has the same shape as the sail on the sailboat. Which means that; they can be used to find each other's dimensions based on a scale factor.
The height of the sailboat = 24 feet.
The height of the souvenir boat's sail = 3 inches.
The scale is:
= 24 / 3
= 8
Then for every inch on the souvenir boat's sail, the sailboat is 8 feet.
The base of the souvenir boat sail;
= 9 / 8
= 1.125 inches
Hence, Based on the shape of the souvenir and dimensions of boat, the base of the souvenir's sail is 1.125 inches
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Help please I don’t understand
Answer:
Both are opposite rays
Step-by-step explanation:
[tex] \overrightarrow {OP} [/tex] and [tex] \overrightarrow {PO} [/tex] are two opposite rays, because their directions are different.
For a group of objects made of the same material, the weight of an object varies directly with its volume. If an object has a volume of 20 cubic inches and weighs 28 ounces, what is the constant of variation?
Answer: 7/5
Step-by-step explanation:
3
Select the correct answer from each drop-down menu.
A cross section is the intersection of a __ and a __
Answer:
nolo se
Step-by-step explanation:
Find two positive numbers satisfying the given requirements.
The product is 152 and the sum is a minimum.
Answer:
8 and 19
Step-by-step explanation:
To some this, let's first list all the factors of 152. They are;
1, 2, 4, 8, 19, 38, 76, 152.
Now, let's arrange them to reflect being multiplied to get 152.
Thus;
1 × 152 = 152
2 × 76 = 152
4 × 38 = 152
8 × 19 = 152
Also, let's do the same for their sum;
1 + 152 = 153
2 + 76 = 78
4 + 38 = 42
8 + 19 = 27
Looking at the figures above, the ones that their product is 152 but have the least sum are 8 and 19
Plz help me plz
Also phone reval XD
Answer:
5.50
Step-by-step explanation:
5 = whole number
.
5 = Tenths
0 = Hundreths
5.50
Hope this Helps!For every dime spent DeVita receive 15 food Pepsi the animals in the petting zoo David has fed the animals a total of 135 food pebbles right in Savon equation to find the number of dimes Davida spent at the petting zoo
Answer:
9
Step-by-step explanation:
135 divided by 15 and u got ur answer
NEED HELP WITH THIS PLEASE DUE TODAY the third picture its together with the second one
Answer:
-3
-2.5
-2
-9/8
-1
-1/4
0
1/4
1
9/8
2
8/3
2.5
3
Two sides of a rectangle are both 4 inches. If the
perimeter is 30 inches, write and solve a two-step
equation to find the missing lengths. Help
Answer: 2(4)+2b=30 /missing lenght=11
Step-by-step explanation: We know the equation of a rectangle is 2a+2b=perimeter "a" and "b" both represent a side length
2(4)+2b=30 <--- Plug in the know side lenght
8+2b=30
8(-8)+2b=30(-8) <--- Subtract "8" from both sides to further solve
2b=22
2b/2=22/2 <--- Divide each side by "2"
b=11
5.
a. Are triangles ABC and DEF similar?
Show or explain your reasoning.
Yes, the triangles are similar to each other by AA rule and EF = 8.
What is similarity in triangles?When two triangles have congruent corresponding angles and corresponding sides in equal ratio, then they are said to be similar.
Given are the triangles, Δ ABC and Δ DEF,
In Δ ABC,
∠A + ∠B + ∠C = 180°
∠B = 180°- (60°+20°)
∠B = 100°
In Δ DEF,
∠D + ∠E + ∠F = 180°
∠F = 180° - (60°+100°)
∠F = 20°
∠A ≅ ∠D
∠B ≅ ∠E
∠C ≅ ∠F
We see, all the corresponding angles are congruent.
Therefore, according to definition of similar triangles Δ ABC ~ Δ DEF,
And,
AB/DE = BC/EF = AC/DF = 3/4
BC/EF = 3/4
6/EF = 3/4
EF = 8
Hence, the triangles are similar to each other by AA rule and EF = 8.
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Mr mcnall brought $562 freezer using a credit card that charges 18% annual interest if he does not make any payments or any additional charges how much will he owe after one month
Respuesta: el deberá $8.43 de interés en un mes.
Explicación paso a paso:
Regla de 3
$562 -- 100%
x --- 18%
x = 101.16
$101.16 es la cantidad de intereses que deberá en un año, pero ¿en un mes?
Para saberlo solo lo dividimos entre la cantidad de meses en un año (12)
101.16 ÷ 12 = 8.43
PLEASE HELP ASAP (8th grade question)
Answer:
m∠2=35°, m∠1=35°
Step-by-step explanation:
∠2 and ∠4 equal 180° when added, so 180-145=35
all angles of a triangle equal 180°, so 180-∠3-∠2=∠1
180-110-35= 35
Work out the value of 4⁵
I think it 1024
Answer:
1024
Step-by-step explanation:
yeah it's 1024 lol
Answer:
4^5 = 1024
Step-by-step explanation:
Write down the # on the left (4) by the # of times on the left (5)
So it would be: 4x4x4x4x4 = ?
You can cut this problem into pieces.
1. 4x4 = 16
2. 4x4 = 16
3. 16x16 = 256 (use standard multiplication method)
4. 256 x 4 = 1024
I hope this helps:)
HELP PLS IF YOU KNOW THE ANSWER
Answer:
x = 1
Step-by-step explanation:
Since the triangles are congruent then AB ≡ DE , that is
DE = AB
5x - 4 = 2x - 1 ( subtract 2x from both sides )
3x - 4 = - 1 ( add 4 to both sides )
3x = 3 ( divide both sides by 3 )
x = 1
1. For the quadratic function shown below, find (a) the direction of the opening, (b) the vertex, and (c) the axis of symmetry.
y=-3(x-3)^2=5
2. For the quadratic function shown below, find (a) the direction of the opening, (b) the vertex, and (c) the axis of symmetry.
y=1/2(x+4)^2-13
3. For the quadratic function shown below, find (a) the direction of the opening, (b) the vertex, and (c) the axis of symmetry.
y=-(x-14)^2+17
Answer:
1a) opens down
b) don't know because equation has two equal signs
c) don't know because equation has two equal signs
2a) opens up
b) (-4, -13)
c) x = -4
3a) opens down
b) (14, 17)
c) x = 14
Step-by-step explanation:
Each time you take your dog to the dog park it costs $175. Write an expression that represents the cost of n visits to the dog park.
Answer:
equation could represent the total cost (y), in dollars, for x teacher ... first 3 days she takes care of a dog and $25 for each day thereafter..... An amusement park has a group rate.
Answer:
c=175n
Step-by-step explanation:
Expand and simply
4(2d + 3) – 2(3d – 5)
Answer:
8d+12-6d+10
2d+22
Step-by-step explanation:
LOTS OF POINTS a. Andre deposited $24.50 into his bank account each week for 5 weeks. What was the total amount Andre deposited?
b. Four friends did a job together that paid $85.20. How much should each get if they all get an equal amount?
DO EACH PART OR I WILL REPORT THANK YOU °ω°
Answer:
122.50
380.80
Step-by-step explanation:
that's both answers have fun go play
Answer:
A. $122.5
B. $340.8
Step-by-step explanation:
A. $24.50 × 5 weeks = $122.5
- He only deposited one time each week so take the amount he puts in every week and multiply it by the amount of times he did it which is 5
B. $85.20 × 4 = $340.8
- 4 friends get the same amount of money just multiply that money amount they earned by all of them which is 4.
Please help due today
Answer:
60 cm^2
Step-by-step explanation:
Answer:
48 cm^2
Step-by-step explanation:
Surface area of a prism is just the sum total of each individual shape's area.
SA = [(3 * 4) + (3 * 3) + (3 * 5) + (1/2 * 3 * 4) + (1/2 * 3 * 4)] cm^2
((Area of rectangle/square is base times height.
Area of triangle is one-half times base times height.))
-2(x - 2) = -3 - 21 I need help with that question, I've been trying to solve it for hours but i cant find the answer
Answer:
x = 14
Step-by-step explanation:
you would first distribute the -2 with x - 2, which should give you -2x + 4, and you want to do the -3 - 21, which would give you -24, then subtract 4 from -2x + 4, then you should have -2x = -28, then divide it by -2, which should give you x = 14
Answer:
x = 14
Step-by-step explanation:
In this problem, we must isolate x
Given: -2(x - 2) = - 3 - 21Simplify the right side: -2(x - 2)= - 24Distribute the -2 to x and -2 (multiply): -2x + 4 = -24Subtract 4 from both sides: -2x = -28Divide both sides by -2: x = 14The system of equations has
options are
1. no solution
2. one solution
3. infinitely many solutions
Answer: no solution
Step-by-step explanation: after simplifying they are parallel which means they have no solutions
What are the coordinates of the point P?
Answer:
P (6 , -3)
Step-by-step explanation:
point P : (6 , -3)
OK OK PLSSS HELPP PLSSS
Answer:
[tex]18in^{2}[/tex]
Step-by-step explanation:
[tex]A=2*2+7*2=18in^{2}[/tex]
There are a total of 375 flamingos, parrots, herons, and chachalacas at the Famous Bird Sanctuary. The ratio of flamingos to parrots to herons is 10:7 … :3, respectively. There are twice as many flamingos as chachalacas. How many chachalacas are at the sanctuary? BRAINLIEST TO FIRST TO ANSWER.
Answer:
75
Step-by-step explanation:
Since the ratio between flamingos and chachalacas is 2:1, we see that the ratio of flamingos to chachalacas to parrots to herons is 10:5:7:3. The sum of these numbers is 25, so every 'ratio number' gets 375/25 = 15 animals. So the number of chachalacas is 15 * 5 = 75.
This is accounting plz help
The chess clubcab have at most 36 members. The are 3 times as many boys as girls in the chess club. Which inequality could be used to determine the possible number of girls, x, in the chess club?
Answer:
The number of girls is at most 9 girls
y ≤ 9
Step-by-step explanation:
The chess clubcab have at most 36 members.
At most means : Less than or equal to 36 members and it is represented by the inequality = ≤
The are 3 times as many boys as girls in the chess club.
Boys = x
Girls = y
Hence,
x = 3y
Which inequality could be used to determine the possible number of girls, x, in the chess club?
Therefore,
x + y≤ 36
3y + y ≤ 36
4y ≤ 36
y ≤ 36/4
y ≤ 9
Girls = y
The number of girls is at most 9 girls
time 0:52:40
Simplify
78 x 7² x 74
7° x 75
Answer:
282828
75
Step-by-step explanation:
25 times 10*6 in normal form
respuesta
[tex]( + 2) ^{5} [/tex]
Triangle EFG is rotated and dilated by a scale factor other than 1 to create triangle E'F'G'. Do triangle EFG and triangle EFG' have the same area? Justify your answer.
Respond in the space provided.
Answer:
yes
Step-by-step explanation:
it was just rotated not dilated
The area of triangle ΔEFG changes after rotation and dilation.
What is Scale factor?The scale factor is a type of measurement which is used to increase or decrease the size of an object keeping its shape as the same. It can be determined by taking the ratio of the new and the original dimension of the object.
Suppose the scale factor is k for the dilation of triangle.
Now, new dimensions of ΔE'F'G' is k times the dimension of ΔEFG.
Area of triangle ΔEFG = 1/2 × b × h
Then, triangle area for ΔE'F'G' = 1/2 × kb × kh = k²(1/2 × b × h)
Thus, the area becomes k² times.
Hence, the given triangles ΔEFG and ΔE'F'G' do not have the same area.
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What is the probability of the spinner stop on an even number?
Answer:
Depends on what numbers are there.
Step-by-step explanation:
If the numbers are 0-10 then there is a 50% chance of the spinner stopping on an even number because there is 5 even numbers and 5 uneven numbers.
The probability of the spinner stopping on an even number will be equal to 5/10.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
The total number on the spinner is 10
The total even number on the spinner is 5.
Probability = 5/10
Therefore, The probability of the spinner stopping on an even number = 5/10
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Complete question: