A piece of wood that is 3/4 meter long is being cut into smaller pieces that are each 1/10 meter long.which equation could be solved to find the number of pieces,n,that can be made?
A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inches.
Use π = 3.14.
What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work.
the cone = 150.8
the cylinder= 301.6 the cones volume is 2x smaller than the cylinders volume. two cones equal one cylinder.
A car manufacturer announced that next year the price of a certain model car would increase by 5.5 %.This year the price is $17,891. Find the increase and the new price.
A wooden fence 6 ft. high and 300 ft. long is to be painted on one side. How many gallons of paint are needed if one gallon covers 400 sq. ft.?
Answer:
4.5 gallons
Step-by-step explanation:
how to do rational numbers
The area of egypt is 386,700 square miles. the area of wyoming is about 97,818 square milesegypt is about how many times as large as wyoming?explain how you solved the problem
Please Hhhellp!! Given AB, explain how to construct a square with sides of length AB
1.A
2.C
3.C
4.C
5.C
6.B
7.D
8.C
Unit 4 Lesson 9 100%
Step-by-step explanation: Short answers you have to look up
Brand X soda advertises, "We will give you 20% more soda than Brand Y for a total price that is 10% less than Brand Y's price!" What is the ratio of the unit price of Brand X soda to the unit price of Brand Y soda? Express your answer as a common fraction. ...?
Answer:
3/4
Step-by-step explanation:
its 3/4 k
Triangle ABD equal to triangle CBD. Name the theorem or postulate that justifies the congruence.
(There is a diagram)
When you get your answer could you please tell me how you got it? Thank you!
Answer:
SAS postulate
Step-by-step explanation:
Triangle ABD equal to triangle CBD.
The postulate that justifies the congruence is - Side angle side.
The Side Angle Side postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.
Here, AD and CD sides are equal and the two triangles ABD and CBD share a common right angle , so these are congruent or equal as per SAS postulate.
AD and CD sides are equal and the two triangles ABD and CBD share a common right angle , so these are congruent or equal as per SAS postulate.
Triangle ABD equal to triangle CBD.
The postulate that justifies the congruence is - Side angle side
The Side Angle Side postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent.
Here, AD and CD sides are equal and the two triangles ABD and CBD share a common right angle , so these are congruent or equal as per SAS postulate.
A four-character secret code can begin with any two of the five vowels and end with any two numerals, from 0 to 9. How many different four-character secret codes are possible?
Grace caught a fish after 38 minutes of fishing. Grace started fishing at8:49 a.m.
9:27
she caught it just add 38 MINSA
What is 27.38 rounded to the nearest wholenumber?
Nine wolves, eight female and one male, are to be released into the wild three at a time.
If the male wolf is to be in the first released group and order does not matter, in how many ways can the first group of three wolves be formed?
The correct answer is 28 ways.
Please give me brainiest and have a great day.
Answer:
Hence, we can form a group of three wolves in:
28 ways.
Step-by-step explanation:
We are given:
Nine wolves, eight female and one male.
We have to release three at a time also the male wolf is to be in the first released group and order does not matter
Then we have to choose 2 female wolves out of 8
as the order does not matter so we have to use combination
Hence, it is given as:
[tex]8_C_2=\dfrac{8!}{2!\times (8-2)!}\\\\8_C_2=\dfrac{8!}{2!\times 6!}\\\\8_C_2=28[/tex]
Hence, we can form a group of three wolves in:
28 ways.
what is the expression in factored form 16x^2+8x
Final answer:
The expression 16x^2+8x in factored form is 8x(2x + 1), obtained by factoring out the greatest common factor, which is 8x.
Explanation:
To factor the expression 16x^2+8x, we look for common factors in each term. Here, we can see that both terms contain a power of x and the number 8 is a common factor. We can factor out 8x from each term.
Step-by-step, this looks like:
Identify the greatest common factor (GCF): both terms have an x and an 8 in common.Factor out the GCF: 16x^2 + 8x = 8x(2x + 1)We've now expressed the original expression in factored form.
Marquis has a gross pay of $816. By how much will his gross pay be reduced if Marquis has the following items withheld?
federal tax of $92
Social Security tax that is 6.2% of his gross pay
Medicare tax that is 1.45% of his gross pay
state tax that is 22% of his federal tax
Answer:
His gross pay would be reduced $174.66.
Step-by-step explanation:
Gross pay of Marquis = $816
His withholding are :
Federal tax = $92.00
Social security tax = 6.2% of $816
= 0.062 × 816
= $50.592
Medicare tax = 1.45% × 816
= 0.0145 × 816
= $11.832
State tax = 22% × 92
= 0.22 × 92
= $20.24
Total withholding = 92 + 50.59 + 11.83 + 20.24
= $174.66
His net pay = $816 - $174.66 = $641.34
His gross pay would be reduced $174.66
What is 20 times greater than 0.08?
Evaluate: 5C2
20
25
10
60
...?
Find the solution set for the open sentence with the given replacement set.
2x + 7 = 19, {4, 5, 6, 7}
To borrow money, you pawn your guitar. Based on the value of the guitar, the pawnbroker loans you $960. One month later, you get the guitar back by paying the pawnbroker $1,472. What annual interest rate did you pay? Round to the nearest tenth of a percent. ...?
The annual interest rate paid for the pawned guitar is calculated to be 640%, which is obtained by dividing the interest paid by the original loan amount to find the monthly rate and then multiplying by 12.
Explanation:To calculate the annual interest rate paid for pawning the guitar, we need to first determine the total interest paid, then the monthly interest rate, and finally convert that to an annual rate. The interest paid is the difference between the amount received from pawning the guitar and the amount paid to redeem it, which is $1,472 - $960 = $512.
As the loan was for one month, we can determine the monthly interest rate by dividing the interest paid by the principal amount. This gives us $512 / $960 = 0.5333 or 53.33%. To find the annual interest rate, we multiply the monthly rate by 12 (the number of months in a year). Thus, the annual interest rate is 53.33% * 12 = 640%.
It's important to note that this is an extremely high rate of interest, which is not uncommon for pawnshop loans or other short-term high-risk loans.
Factor out the greatest common factor: 16a3 - 8a5
What is the 40th term of the arithmetic sequence?
21,18,15,12,9....
A: -99
B: -96
C: 6
D: 138
The 40th term of the arithmetic sequence 21,18,15,12,9.. is -96
using Arithmetic progression formula,
a = first term = 21
common difference = d = 18 - 21 = - 3
Therefore,
aₙ = a + (n - 1)d
a₄₀ = 21 + (40 - 1)-3
a₄₀ = 21 +(39)(-3)
a₄₀ = 21 - 117
a₄₀ = -96
learn more: https://brainly.com/question/25129817?referrer=searchResults
I will fan and medal if you help!
Part A Find the value of x
A. x=9
B. x=15
C. x=41
D. x=77
Part B Find the measure of each of the unlabeled angles in the previous question
A. one angle measures 87° and the other measures 273°
B. one angle measures 161° and the other measures 179°
C. both angles measure 155°
D. both angles measure 25°
if you can explain how you did these questions instead of just the answer that'd be great
In the diagram below, G is the incenter of DEF. m
In the previous question, what is m
Final answer:
The question involves Physics concepts such as vector addition, moment of inertia, and gravitational force calculations. The incenter mentions seem irrelevant to the Physics calculations related to inertia and force.
Explanation:
The question asked is about calculating the moment of inertia for a specific geometric object (a cylinder) and involves understanding the mass distribution relative to an axis of rotation. This is a common concept in the field of Physics, particularly when dealing with rotational dynamics and inertia.
The mention of the incenter of a triangle appears to be unrelated to the main question, which is more focused on moments of inertia, vector addition, and gravitational force equations as indicated by the provided reference information.
For example, the moment of inertia of a cylinder about a given axis can be calculated using established mathematical formulas. Moreover, vector addition (such as Đ = Ả + 2B - F) includes principles such as scaling, displacement and direction, which are crucial in Physics for predicting the outcomes of combined vector forces.
Lastly, the reference to the mass m of an object cancelling in the equation for g is related to calculating the acceleration due to gravity on Earth, which does not depend on the mass of the falling object.
In the previous question, m represents the measure of an angle, and without specific information about which angle in Δ DEF is being referred to, a precise value cannot be determined.
Explanation:The symbol m in geometry typically denotes the measure of an angle. In the context of the given diagram, G being the incenter of Δ DEF suggests that G is the point where the angle bisectors of the triangle intersect. However, to determine the specific measure (m) of an angle, additional details about which angle in Δ DEF is being considered are required.
In geometry, the measure of an angle can vary based on its location within a triangle. The incenter is where the angle bisectors meet, ensuring that the angle formed by connecting G to the vertices of Δ DEF is bisected equally. Without information about the specific angle being referenced, a numerical value for m cannot be provided.
Understanding angle measures and the role of an incenter in bisecting angles is crucial in geometry. Precision in describing angles requires clarity on the specific angle under consideration, allowing for accurate calculations and conclusions.
Kala made 20000 in taxable income last year. Suppose the income tax rate is 0.15 for the first 8500 plus 0.19 for the amount over 8500 . How much must Kala pay in income tax for last year?
(04.02 LC)
Triangle ABC is similar to triangle PQR, as shown below:
Two similar triangles ABC and PQR are shown. Triangle ABC has sides AB = c, BC = a, and AC = b. Triangle PQR has sides PQ = r,
Which ratio is equal to b:q? (1 point)
b:a
c:r
r:a
q:c
∆ABC~∆PQR
AB~PQ , c~r
c:r
Answer:
The correct option is 2.
Step-by-step explanation:
It is given that triangles ABC and PQR are similar triangles.
The sides of the triangle ABC are AB = c, BC = a, and AC = b. Triangle PQR has sides PQ = r, QR=p and PR=q.
If two triangles are similar, then their corresponding sides proportional.
Since ABC and PQR are similar triangles, therefore
[tex]\frac{AB}{PQ}=\frac{BC}{QR}=\frac{AC}{PR}[/tex]
[tex]\frac{c}{r}=\frac{a}{p}=\frac{b}{q}[/tex]
It can be written as
[tex]\frac{c}{r}=\frac{b}{q}[/tex]
[tex]\frac{a}{p}=\frac{b}{q}[/tex]
Therefore b:q is equal to c:r or a:p. Option 2 is correct.
Suppose you are making yourself a sandwich. How many different sandwiches can you make if you have four choices in bread, two choices in meat, and five choices in cheese?
Which of the following is equivalent to45/46 ?
88/92
135/138
46/45
90/93
The quotient of a number and –1.5 is 21
In the diagram, which angle is part of a linear pair and part of a vertical pair?
The options of the question are
A.)BFC B.)CFG C.)GFD D.)EFA
we know that
A linear pair forms a straight angle which contains [tex] 180 [/tex]º, so you have [tex] 2 [/tex] angles whose measures add to [tex] 180 [/tex] degrees, which means they are supplementary.
Vertical Angles are two angles whose sides form two pairs of opposite rays (straight lines).Vertical angles are congruent
in this problem
Part a) Linear Pair
1) m∠EFA+m∠EFD=[tex] 180 [/tex]°
angles ∠EFA and ∠EFD are a linear pair
2) m∠BFD+m∠EFD=[tex] 180 [/tex]°
angles ∠BFD and ∠EFD are a linear pair
3) m∠BFD+m∠BFA=[tex] 180 [/tex]°
angles ∠BFD and ∠BFA are a linear pair
4) m∠BFA+m∠AFD=[tex] 180 [/tex]°
angles ∠BFA and ∠AFD are a linear pair
Part b) Vertical angles
1) m∠EFA=m∠BFD
angles ∠EFA and ∠BFD are a vertical angles
2) m∠AFB=m∠EFD
angles ∠AFB and ∠EFD are a vertical angles
therefore
the answer is the option
D.) EFA
Find the values of x and y that maximize the objective function P=3x+2y for the graph. What is the maximum value? Show all work.
Answer:
27
Step-by-step explanation:
Since coeficient in front of x is larger than coeficient in front of y that means that value of function P depends more on x than on y. That means that we should look for highest posible x and see highest posible y for that x.
Highest x value is 9 and we can only pick y=0 for it
P = 27
Note that if u decrease x by 1 we can take y=1 but now our value is:
P = 8*3 + 2*1 = 26 which is just confirmation why P depends more on x than on y due to coefficient in front of x.
And or
Answer:
27
Step-by-step explanation:
To find the maximum, input the vertices (0,8), (5,4) and (9,0) into the objective function (P = 3x + 2y) to determine which vertex obtains the maximum value.
NOTE: I don't understand why (5,4) was given on your graph as a vertex.
(0,8): P = 3(0) + 2(8) = 0 + 16 = 16
(5,4): P = 3(5) + 2(4) = 15 + 8 = 23
(9,0): P = 3(9) + 2(0) = 27 + 0 = 27 THIS IS THE LARGEST (MAX) P-VALUE