La altura del cono es de 8 centimetros.
¿Como encotrar la altura del cono?Sabemos que para un cono de radio R, altura H, y generatriz G se cumple la relación:
R^2 + H^2 = G^2
Resolviendo para la altura obtenemos:
H = √(G^2 - R^2)
En este caso sabemos que le diámetro es de 30 cm, entonces el radio será de:
R = 30cm/2 = 15cm
Y la generatriz es de 17cm, entonces G = 17cm
Reemplazando eso en la ecuación para la altura obtendremos:
H = √((17cm)^2 - (15cm)^2) = 8cm
Concluimos que la altura del cono es de 8 centimetros.
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please help
please hurry
The value indicated of the function indicated on the graph of the function is 2
How to determine the value indicate on the graph of the function?The graph represents the given parameter
The given graph is a linear function
This is so because the graph is represented by a straight line
A linear function is represented as
f(x) = mx + c
Where the vertex is
m represents the slope
c represents the y-intercept
From the given graph of the equation, we have
f(1) = 2
This means that
When x = 1, the value of f(x) is 2
Hence, the value indicated of the function indicated on the graph of the function is 2
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Brett works for the local farmer, delivering feed and produce to the local community. He uses his own truck for the deliveries. He
gets paid a travel allowance of 64 cents per kilometer travelled. How much car travel allowance would Brett get paid for
travelling a total of 87km?
Select one:
O $55.68
O $67.24
O $54.86
O $45.90
If there is currently $139.50 petty cash in the tin how much do I need to withdraw from the bank to make $200.00 in the tin?
Brett will get paid $55.68 for travelling a total of 87 kilometers at an allowance of 54 cents per kilometer.
According to the International System of Units (SI), one kilometer is equal to 1,000 meters in American English. The United States and the United Kingdom are significant outliers, where the statute mile is the unit of measurement used to express distances between geographical locations on land.
One Kilometer is roughly equivalent to 0.621 miles.
Brett delivers produce for the farmer using his truck.
He gets paid a travel allowance of 64 cents per kilometer.
So to calculate his total allowance we multiply the allowance with the distance travelled.
Brett gets paid: $0.64×87=$55.68
Hence Brett gets paid $55.68. So the first option is correct.
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HELP PLEASEEE:)))) THIS IS ALGEBRA II BTWWW
Answer:
The answer is B
Step-by-step explanation:
I am 100% sure
In the figure to the right, if AC=16 and BC=13, what is the radius?
Answer:
Radius AB = 9.3 units
Step-by-step explanation:
BC (tangent) make right angle with radius AB.
AC = 16 units
BC = 13 units
Find:
Radius AB = ?
Computation:
Using Pythagoras theorem:
Radius AB = 9.3 units
Compare -2.3 and -8/3 using symbols <, >, or =.
₋2.3 < ₋8/3 is the correct answer.
Given, we need to compare the terms.
₋8/3 = ₋2.67
therefore, 2.3 is less than 2.667
hence we form it as ₋2.3 < ₋2.67
we form: ₋2.3 < ₋8/3
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Which lines are parallel in the square
pyramid?
Select each correct answer.
о
AB and AD
BC and DE
AD and BC
CL and BE
Step-by-step explanation:
AB and AD, i got the same question and the answer was right
2. A car has a fuel tank that holds 45 liters of fuel. The car consumes 8.0 liters of fuel for
each 100 km driven. A trip of 350 km was started with a full tank of fuel. How much
fuel remained in the tank at the end of the trip?
Answer: 17 liters
Step-by-step explanation:
Make a proportion:
100 km - 8 liters
350 km - x liters
Hence,
[tex]\displaystyle\\x=\frac{350*8}{100} \\\\x=\frac{2800}{100}\\\\x=28\ liters \\\\45-28=\\7\ liters[/tex]
Solve for x.
4x^2 - 10 = 90
Borrowed money for 4 years at 9%. Total interest paid was 2520. How much was borrowed
The required amount that was borrowed is 7000.
Given that,
Borrowed money for 4 years at 9%.
The total interest paid was 2520.
To determine how much money was borrowed.
Simple interest is defined as the percentage of earnings on the lending for a period of time
Here,
interest = [principal * rate * time ] / 100
2520 = [principal * 9* 4] / 100
Principal = 2520 * 100 / 9*4
Principal = 7000
So, the principal amount or initial amount is $7000.
Thus, the required amount that was borrowed is 7000.
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Francisco earns seven dollars an hour at his part-time job last week he worked 16 hours what was his gross pay for the week what was his salary for the year if he works 16 hours a week all year
Answer:
he works 7 dollars an hour so 16 x 7 = 112 that's for a whole week a year would be 356 x 7 = 2,555 that's 1 whole year
Step-by-step explanation:
sorry if i got this wrong
It takes a word processor 45 minutes to word process and spell check 12 pages. Find how long it takes her to word process and
spell check 40 pages.
It takes the word processor
minutes.
I am pretty sure the answer is 150 because, as, first find the how many minutes does it take for 1 page and then the just multiply the answer with 40
Step-by-step explanation:
45/12=3.75 ×40
6. To make your shot, you need the cue ball to hit point C. Find length CD and use it
to identify the location of C in relation to one of the C corner pockets. For example, if C
is on the upper bumper, your answer might be: 15 inches to the right of the upper left
pocket. Round your answer to the nearest inch. (2 points: 1 point for distance, 1
point for location)
33in is length of CD by using angle of reflection.
What is Angle of reflection?
The angle of reflection is the angle formed by the reflected ray and the normal at the point of incidence on a reflecting surface.The angle formed by the incident and reflected rays is split into two equal angles by the normal line. The angle of incidence is the angle formed by the incident beam and the normal. The angle of reflection is the angle formed by the reflected beam and the normal.CD should be a perpendicular line to CB.
Angle of incidence = Angle of reflection
Angle ACD = Angle EAC
Let the perpendicular intersection point from A to side be G
The two right-angled triangles, CDG and CAG, are similar by AAA.
So DG/AG = CD/CA
46/18 = CD/CA
CD+CA = 96-50 = 46
CA = 46-CD
46/18 = CD/(46-CD)
46*46 - 46CD = 18CD
64CD = 46*46
CD = 33.06 = 33in
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determine the monthly payment for a car that cost $42,100 if you put $4000 down and traded in a car for $6500 on a 5 year loan with 4.5% interest rate
===================================================
Explanation:
The down payment and trade-in value add to 4000+6500 = 10,500
Subtract this total from the car's cost
42,100 - 10,500 = 31,600
This is the amount loaned to the customer.
---------------
We have these input values
L = 31,600 = loan amounti = 0.045/12 = 0.00375 = monthly interest rate in decimal formn = 12*5 = 60 months (equivalent to 5 years)Let's compute the monthly payment
P = (L*i)/(1 - (1+i)^(-n))
P = (31600*0.00375)/(1 - (1+0.00375)^(-60))
P = 589.119408031938 approximately
P = 589.12
Which of the following equations are equivalent to -2m-5m - 8 = 3+(-7)+m? Select all that apply
m-4=-7m-8
-8-3m-4-m
-3m-8=4-m
-15m= -4m
-7m-8=m-4
-8-7m=-4+ m
Andy got a loan of $120000 from a bank at a rate of 9% per annum calculate the i for the loan at the end of the first year
Answer:
I=$10800
Step-by-step explanation:
I=($120000×9×1)÷100
I=$1200×9=$10800
the distribution of lengths of rainbow trout from a certain river are normally distributed with a standard deviation of 2.4 inches. it 15% of the rainbow trout are longer than 15 inches, which of the following is closest to the mean of the distribution?
Based on the calculations, the value which closest to the mean of the distribution is equal to: B. 18 inches.
What is a z-value?A z-value is also referred to as a z-score or standard score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.
In Statistics, z-values can either be positive or negative and it can be calculated by using this formula:
Z = (x - μ)/δ
Where:
x represents the sample mean or observed data.μ represents the mean.δ represents the standard deviation.If 15 percent of the rainbow trout are longer than 15 inches, then we have:
P(x > 15) = 0.15
From the z-table, the z-value which corresponds to a mean of 0.15 is given by:
z-value = -1.036
Substituting the given parameters into the formula, we have;
Z = (x - μ)/δ
-1.036 = (15 - μ)/2.4
-1.036 × 2.4 = 15 - μ
-2.4864 = 15 - μ
μ = 15 + 2.4864
Mean, μ = 17.4864
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Complete Question:
The distribution of lengths of rainbow trout from a certain river are normally distributed with a standard deviation of 2.4 inches. it 15% of the rainbow trout are longer than 15 inches, which of the following is closest to the mean of the distribution?
A. 26 inches
B. 18 inches
C. 30 inches
D. 33 inches
E. 34 inches
A deck of cards contains RED cards numbered 1,2,3 and BLUE cards numbered 1,2. Let R be the event of drawing a red card, B the event of drawing a blue card, E the event of drawing an even numbered card, and O the event of drawing an odd card.
Drawing the Blue 2 is an outcome of which of the following events? Select all correct answers
Answer: E & B
Step-by-step explanation:
Help Please!! If cos theta = - square root 2/2 and pie/2 < theta < pie, what are the values of sin theta and tan theta? What is theta in degrees and radians?
The values of the sine and tangent of the angle are √2 / 2 and - 1. By using inverse trigonometric functions, the value of angle is 135° (3π / 4).
How to find the values of other trigonometric functions and the angle behind themAccording to the statement, the cosine of the angle is in the second quadrant and therefore the value of the sine must be positive and the value of the tangent must be negative. Then, the value of the sine is found by the fundamental formula:
sin θ = √(1 - cos² θ)
sin θ = √[1 - (- √2 / 2)²]
sin θ = √(1 - 1 / 2)
sin θ = √(1 / 2)
sin θ = √2 / 2
And the value of the tangent:
tan θ = sin θ / cos θ
tan θ = (√2 / 2) / (- √2 / 2)
tan θ = - 1
By using inverse trigonometric functions, we find that the value of angle is 135° (3π / 4).
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Solving Quadratic Inequalities
1ai. x^2 less than or equal to sign 8
1ei. (x-4)(x+1)>0
Answer:
1ai. x is less than or equal to 8
1ei. x > 4 and x > 1
Step-by-step explanation:
Steps for solving 1ai
Factor x² less then or equal to 8 you would do this by finding two numbers the product is equal to zero and the sum would equal to zero. You would find all factors that would equal to your terms like for example x² has the factors x•x and the factors of 0 are 0 so it would be (x+0)(x+0) is less than or equal to 8Split the factoed terms into two inequalities since you're dealing with polynomial inequalities you will either have one or more solutions. For example you will have to solve x + 0 is less than or equal to 8 Solve for x by doing the inverse operation in this case the addition will become subtraction so it will be x + 0-0 is less than or equal to 8 - 0 which would be x is greater than or equal to 8Steps to solve 1ei
Split the factored terms into 2 inequalities so (x-4) (x+1) >0 will become x-4>0 and x+1>0 Solve for x in this case x-4>0 will become x-4+4> 0+4 which is x>4 and x+1>0 will be x+1-1>0-1 which is x>-1Point G is the midpoint of segment FH. GH= 16x-19 and FG=12x+9. Find GH
Answer:
93
Step-by-step explanation:
By the definition of a midpoint, FG=GH.
[tex]16x-19=12x+9 \\ \\ 4x-19=9 \\ \\ 4x=28 \\ \\ x=7 \\ \\ GH=16(7)-19=\boxed{93}[/tex]
what is 20 squared 2 + 6(9 + 3)
Answer:
[tex]\sf 872[/tex]
Step-by-step explanation:
Parentheses
[tex]9 + 3 = 12[/tex]
[tex]=20^2\cdot \:2+6\cdot \:12[/tex]
Exponents
[tex]20^2=400[/tex]
[tex]=400\cdot \:2+6\cdot \:12[/tex]
M/D(Multiply/Div.)
[tex]6\cdot \:12 = 72[/tex]
[tex]=800+72[/tex]
A/S(Add/Sub.)
[tex]800+72=872[/tex]
[tex]\sf Thus,\\= 872[/tex]
Michael rented a truck for one day. There was a base fee of $16.95, and there was an additional charge of 97 cents for each mile driven. Michael had to pay $277.88 when he returned the truck.
For how many miles did he drive the truck?
Answer: 286.474227
Step-by-step explanation: The answer is correct if doing division, if not then this is wrong. I divided 277.88 with 0.97 and got 286.474227
On Monday, Mia spent 3 1/2 hours studying. On Tuesday she spent another 1 3/5 hours studying. What is the total time she spent studying?
pls help me, srry not college
Answer:
5 1/10
Step-by-step explanation:
let me know if you need an explanation
Jessica determines the remainder of (5x^52-4x^15-11x^2+12)/x+1, using the remainder theorem. How does she proceed to the correct answer?
The remainder and factor of the given algebraic expression [tex]\frac{5x^{5} -4x^{3} -11x^{2} +12}{x+1}[/tex] is [tex](5x^{4} -5x^{3} +x^{2} -12x+12)(x+1)[/tex] and [tex]0[/tex]
As per the given question, we are supposed to find out the factor and remainder of the given algebraic expression [tex]\frac{5x^{5} -4x^{3} -11x^{2} +12}{x+1}[/tex] using remainder theorem concept.
Before solving this, we need to know the concept of remainder theorem.
According to which "When a polynomial is divided by a linear polynomial, the remainder theorem is used to get the remaining. We are aware that long division of polynomials can be used to find the remainder after dividing one polynomial by another. The remainder can instead be discovered using the remainder theorem."
Hence using the same concept we can conclude that the factors are [tex](5x^{4} -5x^{3} +x^{2} -12x+12)(x+1)[/tex] and remainder is [tex]0[/tex]
Algebraic Expression: An algebraic symbol or set of symbols that includes one or more integers, variables, and arithmetic operations.Remainder Theorem: When a polynomial is divided by a linear polynomial, the remainder theorem is used to get the remaining. We are aware that long division of polynomials can be used to find the remainder after dividing one polynomial by another. The remainder can instead be discovered using the remainder theorem.To learn more about Remainder Theorem, click on the link given below:
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-5x+3y=-30
Find x interception
The x-intercept of given equation is x=6 and point is (6,0).
Given the equation is -5x+3y=-30.
Here, we will find the x-intercept of the given equation.
The x-intercept is the point at which a line intersects the x-axis and the y-intersection is the point where a line intersects the y-axis.
We will find the x-intercept by substituting y=0 and applying the inverse operations.
Firstly we will substitute y=0 in equation, we get
-5x+3(0)=-30
Now, we will simplify this, we get
-5x+0=-30
-5x=-30
Further, we will divide both sides with -5, we get
-5x/-5=-30/-5
x=-6
Hence, the x-intercept of the given equation -5x+3y=-30 is x=6.
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Which of the following improper fractions is equal to the mixed number 29/4
The mixed fraction 7[tex]\frac{1}{4}[/tex] is equal to the improper fraction 29/4.
What is Improper Fraction ?Improper Fraction - If the numerator exceeds the denominator in a fraction, it is referred to be Improper Fraction. Some examples include 9/2, 8/5, 10/3, etc.
What is Mixed Number ?Mixed Number - A whole number along with a proper fraction forms a mixed number. Also known as mixed fraction.
For the conversion of 29/4 into mixed number
Divide the numerator 24 by denominator 4
29 ÷ 4 = 7
Remainder = 1
Write the number 7 and then write 1 (the remainder) as the numerator and the 4 as the denominator (the denominator will remain tne same).
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The correct question should be which of the following mixed fraction is equal to the improper fraction 29/4 ?
Write the slope-intercept form of the equation for each line.
Answer: y=4/5x-1.5
Step-by-step explanation: slope intercept form is y=mx+b
m is going to be the slope of the line which in this case is 4/5 (rise over run)
b is going to be where the line intercepts the y-axis, in this case it looks to be at -1.5. Since the y-intercept is in the negatives, we subtract b.
x is an just a variable to be added in for if/when this equation is used.
please help
please hurry
Answer:
It would be the last one D
Step-by-step explanation:
Because -1/x would be the recipricol graphing equation (I think) maybe not the recipricol but because the x is on bottom it's gonna make two graphs. I hope this helps some
Bill weighs 120 pounds and is gaining four pounds each month. Phil weighs 220 pounds and is losing six pounds each month. Which equation could be
used to determine how many months it will take for Bill and Phil to weigh the same amount?
120+4-2202-6
120-62220 + 4z
120r-6-220z+4
120+4r 220-6r
Answer: D
Step-by-step explanation: its just right
Match the equivalent expressions
Answer: The first one is 36. The second one is 0. The third one is 1/216 and the last on is 1/1,296.
Step-by-step explanation:
