Answers
Radical
x = √10 • tan 45° = √10• 1 = √10
then
x= √10
y= √x^2 + 10 = √ 10 +10 = √20
Then answer is
x=√10
y= √20
Related Questions
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The table shows a proportional relationship.
Workout (hours) 1 2 3
Calories Burned 320 640 960
Create a description in words for the table.
The number of hours working out is dependent on the number of calories burned. For a one-hour workout, there are 320 calories burned, and for a two-hour workout, there are 640 calories burned.
The number of hours working out is dependent on the number of calories burned. For every 320-hour workout, there is 1 calorie burned, and for every 640-hour workout, there are 2 calories burned.
The number of calories burned is dependent on the number of hours working out. For a one-hour workout, there are 320 calories burned, and for a two-hour workout, there are 640 calories burned.
The number of calories burned is dependent on the number of hours working out. For every 320-hour workout, there is 1 calorie burned, and for every 640-hour workout, there are 2 calories burned.
Answers
The description for the table in word will be A. The number of hours working out is dependent on the number of calories burned. For a one-hour workout, there are 320 calories burned, and for a two-hour workout, there are 640 calories burned.
What is a proportional relationship?Proportional connections are those in which the ratios of two variables are equal. Another way to think about them is that one variable in a proportional relationship is always a constant value multiplied by the other. This is known as the "constant of proportionality."
In this case, the table shows a proportional relationship between workout and calories burned. In 1 hour, 320 calories are burned.
In conclusion, the correct option is A.
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If d - 243 = 542, what does d-245 equal? CARA GOIECT CH 1UJAINRIகபட்ட RE Lien Answer: Your answer
Answers
Given the following expression:
[tex]d-243=542[/tex]if we add 243 on both sides of the equation we get the following:
[tex]\begin{gathered} d-243+243=542+243=785 \\ \Rightarrow d=785 \end{gathered}[/tex]thus, d = 785
Use Part Il of the Fundamental Theorem of Calculus to evaluate the definite integral
Answers
Answer:
[tex]4\ln (2)+\frac{49}{3}\approx19.1059[/tex]Given:
[tex]\int ^{-1}_{-2}\frac{7x^5-4x^2}{x^3}dx[/tex]Simplify:
[tex]\int \frac{7x^3-4}{x}dx[/tex]Expand:
[tex]\int (7x^2-\frac{4}{x})dx[/tex]Apply linearity:
[tex]7\int x^2dx-4\int \frac{1}{x}dx[/tex]Apply power rule and the standard integral ln(x)
[tex]7(\frac{x^3}{3})-4\ln (x)[/tex]Now, applying the Fundamental Theorem of Calculus Part 2
[tex]\int ^{-1}_{-2}\frac{7x^5-4x^2}{x^3}dx=(7(\frac{(-1)^3}{3})-4\ln (-1))-(7(\frac{(-2)^3}{3})-4\ln (-2))[/tex][tex]=4\ln (2)+\frac{49}{3}[/tex]Or approximately
[tex]\approx19.1059[/tex]Triangle
A
B
C
was dilated with the origin as the center of dilation to create triangle ′′′
A
′
B
′
C
′
. The triangle was dilated using a scale factor of 14
1
4
.
The lengths of the sides of triangle
A
B
C
are given.
Enter the lengths of the sides of triangle ′′′
A
′
B
′
C
′
below.
(Decimal values may be used.)
Answers
The lengths of the sides of the Triangle A'B'C' is A'B'=2.25 units , B'C' = 2.75 units , C'A' = 1.25 units .
in the question ;
it is given that
the lengths of the sides of the Triangle ABC is
AB = 9 units
BC = 11 units
CA = 5 units
dilation scale = 1/4
the lengths of the dilated triangle can be found using the formula
(Side length)×(Dilation scale)=Dilated length
So,
A'B' = AB*(1/4)
= 9/4 = 2.25 units
B'C' = BC*(1/4)
= 11/4
= 2.75 units
C'A' = CA*(1/4)
= 5/4
= 1.25 units .
Therefore , the lengths of the sides of the Triangle A'B'C' is A'B'=2.25 units , B'C' = 2.75 units , C'A' = 1.25 units .
The given question is incomplete , the complete question is
Triangle ABC was dilated with the origin as the center of dilation to create triangle A′B′C′. The triangle was dilated using a scale factor of 1/4. The lengths of the sides of triangle ABC are given. Enter the lengths of the sides of triangle A′B'C′ . (Decimal values may be used.)
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Given f(x)=3x+2 find f(-4)
Answers
Step-by-step explanation:
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A line has the given slope m and passes through the first point listed in the table. Complete the table so that each point on the table lies on the line.
Answers
A line can be written as an equation in the slope-intercept form:
[tex]y=mx+b[/tex]Where m is the slope and b is the y-intercept.
We know the slope:
[tex]m=3[/tex]The y-intercept is the y value of the graph where it intercepts the y-axis, which happens when x = 0.
We know that the point x = 0 and y = 3 is on the line and, since the value of x is 0. the y value is the y-interceot, so:
[tex]b=3[/tex]Thus, we have the equation:
[tex]y=3x+3[/tex]To calculate the other points, we just need to substitute their x values and get their y values:
x = 1:
[tex]y=3\cdot1+3=3+3=6[/tex]So, when x = 1, y = 6
x = 2:
[tex]y=3\cdot2+3=6+3=9[/tex]So, when x = 2, y = 9.
x = 3:
[tex]y=3\cdot3+3=9+3=12[/tex]So, when x = 3, y = 12;
So, the complete table is:
x | 0 | 1 | 2 | 3
y | 3 | 6 | 9 | 12
a horse race has 14 entries and one person owns 2 of those horses. assuming that there are no ties, what is the probability that those two horses finish first and second (regardless of order)
Answers
Answer:
1/91
Explanation:
Number of entries in the horse race = 14
• The probability that one of those 2 horses will be first = 2/14
,• The probability that the second horse will be second = 1/13
Therefore:
[tex]\begin{gathered} P(\text{those two horses finish first and second)} \\ =\frac{2}{14}\times\frac{1}{13} \\ =\frac{1}{91} \end{gathered}[/tex]The probability is 1/91.
Mrs. Maria's Market buys 75% of eggs from farm A and the rest from farm B. Of the eggs from A,8% are green, and of those from B, 3% are green. If an egg is chosen at random and found to begreen, what is the probability that the egg is from farm B? Enter your answer as a decimal numberrounded to TWO digits after the decimal point.
Answers
0.12
Explanations:What is probability?Probability is the likelihood or chance that an event will occur. It ca be expressed as:
[tex]Probability=\frac{n(E)}{n(S)}[/tex]where:
n(E) is the expected event
n(S) is the total sample space
If Mrs. Maria's Market buys 75% of eggs from farm A and the rest from farm B, the percentage amount of egg bought from B will be 25% (100-75)
n(S) = 25%
If 3% of the eggs from B are green, hence n(E) = 3%
Determine the required probability
Pr(egg is from farm B) = n(E)/n(S)
Pr(egg is from farm B) = 3/25 = 0.12
Hence the probability that the egg is from farm B is 0.12
y-intercept of y=3/2|x-2|
Answers
Answer:
Combine [tex]\frac{3}{2 }[/tex] and | x - 2 |
[tex]y\frac{3|x-2|}{2}[/tex]
А.Translate the triangle.Then enter the new coordinates.A'([?], []).(4,-1) B'([ ], [])C'([],[ ](1,-3)(5,-4)<-2,3)B.
Answers
Given the triangle shown in the picture, you know its vertices:
[tex]A\mleft(4,-1\mright);B\mleft(5,-4\mright);C\mleft(1,-3\mright)[/tex]You have the following translation vector:
[tex]\langle-2,3\rangle[/tex]Therefore, you can identify that to find the Image (the figure translated) of the Pre-Image (the original figure) ABC, you have to translate each vertex 2 units left and 3 units up. Then, you get:
[tex]\begin{gathered} A^{\prime}(4-2,-1+3)=A^{\prime}(2,2) \\ \\ B^{\prime}(5-2,-4+3)=B^{\prime}(3,-1) \\ \\ C^{\prime}(1-2,-3+3)=C^{\prime}(-1,0) \end{gathered}[/tex]Then, the answer is:
[tex]undefined[/tex]Which of the following could be the product of two consecutive prime numbers? A. 2 B. 10 C. 14 D. 15
Answers
15 because it is the product of 3 and 5 which are consecutive prime numbers.
For 5 years, Gavin has had a checking account at Truth Bank. He uses a bank ATM 2 times per month and a nonbank ATM once a month. He checks his account statement online. How much money would Gavin save per month if he switched to Old River Bank?
Answers
EXPLANATION
Let's see the facts:
Number of years: 5
Account period = 2 times/month
Nonbank ATM -------> once/ month
If he switch the account to Old River Bank he would save:
$6 - $4.95 = $1.05
Transaction cost_Trust Bank = $1/transaction * 2 = $2
Nonbank_Trust Bank = $2/transaction = $2
Trust Bank Cost = 2 + 2 + 6 = $10
The account in the Old River Bank would be:
Account Services = $4.95
Bank ATM Cost = $0.00
Nonbank ATM Cost = $2.5/transactions * 1 = $2.5
----------------------
$7.45
The total cost at Old River would be = $7.45
The difference between Truth Bank and Old River would be $10-$7.45 = $2.55
Gavin would save $2.55 per month.
At a point 125 feet from the base of a building, the angle of elevation to the third floor is 22°. What is the height of the third floor?A 53.9 feetB 14,124 feetC. 50.5 feetD. 333.3 feet
Answers
From the problem statement, we can draw the triangle shows below:
H is the height of the building we will solve for.
Shown below >>>
[tex]\begin{gathered} \tan 22=\frac{H}{125} \\ H=125\tan 22 \\ H=50.5\text{ f}eet \end{gathered}[/tex]AnswerCUse compatible numbers to determine if 455+ 229 is more than 650
Answers
Step 1
compatible numbers are the numbers that are easy to add, subtract, multiply, or divide mentally.
Step 2
Math problem
455 + 229
Compatible numbers
455 + 225 = 680
680 is close to 455+229 = 684
Step 3:
Hence
By compatible numbers, 455 + 229 is more than 650.
Darcy mounted a motion sensor so it would light a path to the door on her deck. If you know AB=10 feet, and BE and BD trident angle ABC, what is the perimeter of the deck area to the right of the beam of light ?PART 1: what others angles or sides of triangle BDC can you label given that side AB is 10 feet, BE and BD trisect angle ABC? Label the diagram accordingly, and explain your reasoning
Answers
Part 1
The labelled disgram is shown below.
We would apply the pythagorean theorem which is expressed as
hypotenuse^2 = one leg^2 + other leg^2
Considering triangle ABE
Sin 60 = 10/BE
BE = 10/Sin60 = 11.55
tan60 =10/AE
AE = 10/tan60 = 5.77
Part 1
Side DC of triangle BDC = 10 feet(opposite sides of a rectangle are congruent)
angle DBC = 30 degrees because BE and BD trisect angle ABC. 90/3 = 30
The sum of the angles in a triangle is 180 degrees. Thus,
angle DBC + angle DCB + angle BDC = 180
30 + 90 + angle BDC = 180
angle BDC = 180 = 180 - (30 + 90 = 180 - 120
angle BDC = 60
Sin 30 = CD/BD = 10/BD
BD = 10/Sin30
BD = 20
tan 30 = DC/BC = 10/BC
BC = 10/tan30
BC = 17.32
Perimeter of deck area to the right of the beam of light = perimeter of triangle BDC
= BD + DC + BC
= 20 + 10 + 17.32
Perimeter = 47.32 feet
Which of the following distribution belongs to discrete distribution?Even distributionOdd distributionInteger distributionReal numbers distribution
Answers
Explanation:
Discrete probability distribution:
It counts the occurrences that have countable or finite outcomes.
As the even numbers, odd numbers are countably infinite .
The real numbers are not countable.
So, the discrete distributions are Integer distribution.
it says how many one eights are in the product of 9x7/8
Answers
Answer
63
Explanation
Given the product 9 * 7/8
We are to find the number of one eighths that are in the product
Finding the product;
= 9 * 7/8
= (9*7)/8
= 63/8
= 63 * 1/8
= 63 * one-eighth
This shows that there are 63 one eighth in the product
Rewrite the polynomial in standard form: 2x + 7x^2 - 3+ x^3
Answers
The given polynomial is
[tex]2x+7x^2-3+x^3[/tex]The standard form refers to organizing the terms where the exponents are placed in decreasing order.
[tex]x^3+7x^2+2x-3[/tex]Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.Solve the inequality and describe the solution set.y-6 > 1232, Math symbolsRelations► Geometry► Groups► Trgonometry3 of 3 AnsweredType here to searcho66F Mosty clou
Answers
The problem gives the inequality:
[tex]y-6\ge12[/tex]solving for y we get:
[tex]\begin{gathered} y\ge12+6 \\ y\ge18 \end{gathered}[/tex]The solution set is all real numbers equal or greater than 18, i.e.,
[tex]\lbrack18,+\infty)[/tex]Good evening, I need help on this questions. Thanks :)
Answers
Answer:
A and B ---> decreasing
B and C ---> constant
C and D ---> decreasing
D and E ---> increasing
Explanation:
A function is increasing if we go from left to right and the graph goes up, it is constant when it is a horizontal line and it is decreasing if when we go from left to right the graph goes down.
Therefore, for each part of the function, we get
A and B ---> decreasing
B and C ---> constant
C and D ---> decreasing
D and E ---> increasing
Identify the coffecient of x in the expression below.-5x-4y^2
Answers
A coeffecient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression,
So in the given expression, the value "-5" is placed before x and hence is the coffecient of x .
Answer:
Step-by-step explanation:
3
if a certain number is added to the numerator and denominator of 9/13 the result is 9/11. find the number
Answers
We have the following:
When they tell us a certain number, we will assume a value x.
This number is added to the numerator and denominator of the fractional number 9/13 and gives us the result 9/11.
it is as follows
[tex]\frac{x+9}{x+13}=\frac{9}{11}[/tex]solving for x:
[tex]\begin{gathered} \frac{x+9}{x+13}=\frac{9}{11} \\ 11\cdot(x+9)=9\cdot(x+13) \\ 11x+99=9x+117 \\ 11x-9x=117-99 \\ 2x=18 \\ x=\frac{18}{2}=9 \end{gathered}[/tex]Therefore, the certain number is 9
2 dot plots. Both number lines go from 0 to 10. Plot 1 is titled fifth grade. There are 2 dots above 1, 3 above 2, 1 above 3, 4 above 4, 5 above 5, 5 above 6, 2 above 7, 2 above 8, 0 above 9, 0 above 10. Plot 2 is titled seventh grade. There are 2 dots above 0, 2 above 1, 3 above 2, 5 above 3, 5 above 4, 3 above 5, 3 above 6, 1 above 7, and 0 above 8, 9, and 10.
The dot plot shows the number of hours, to the nearest hour, that a sample of 5th graders and 7th graders spend watching television each week. What are the mean and median?
The 5th-grade mean is
.
The 7th-grade mean is
.
The 5th-grade median is
.
The 7th-grade median is
.
Answers
The mean of the 5th grade students is 4.67
The mean of the 7th grade students is 3.46
The median of the 5th grade students is 5
The median of the 7th grade students is 3.5
What are the mean and median?A dot plot is a graph used to represent a dataset. A dot plot is made up of a number line and dots. The dots in the dot plot represent the frequency of the data. The greater the frequency of a data, the greater the number of dots.
Mean is the average of a dataset. It is determined by adding all the numbers in the dataset together and dividing it by the total numbers in the dataset.
Mean = sum of numbers / total numbers in the dataset
Mean of the 5th grade students = ( 1 + 1 + 2 + 2 + 2 + 3 + 4 + 4 + 4 + 4 + 5 + 5 + 5 + 5 + 5 + 6 + 6 + 6 + 6 + 6 + 7 + 7 + 8 + 8 ) / 24
112 / 24 = 4.67
Mean of the 7th grade students = ( 0, 0, 1 + 1 + 2 + 2 + 2 + 3 + 3 + 3 + 3 + 3 + 4 + 4 + 4 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 7) / 24
83 / 24 = 3.46
Median is the number that is in the middle of a dataset.
Median = (n + 1) / 2
Median of the 5th grade students = (24 + 1) / 2 = 12.5 terms = 5
Median of the 7th grade students = (24 + 1) / 2 = 12.5 term = (3 + 4) / 2 = 3.5.
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use a combination of inverse operations to solve the following equations.2(x-1) = -6
Answers
Given the following question:
[tex]2(x-1)=-6[/tex][tex]\begin{gathered} 2(x-1)=-6 \\ \text{ Divide by two} \\ -6\div2=-3 \\ \frac{2(x-1)}{2}=(x-1) \\ (x-1)=-3 \\ -1+1=0 \\ -3+1=-2 \\ x=-2 \end{gathered}[/tex]Your answer is x = -2.
Helppppppppppppppppppp
Answers
Perpendicular line are reciprocals
slope of the original line = -1/9
slope of the perpendicular line = 9
sum 0f 5 times a and 6
Answers
Answer:
30a
Step-by-step explanation:
Which number line shows the correct solution to 4y - 82-20 ? H 4 -3 -2 -1 0 1 2 3 4 5 HHH O > & -3 -2 -1 0 1 2 3 4 5 HH H -4 -3 -2 -1 0 1 1 2 3 4 5 H → -3 -2 -1 0 1 2 3 4 5
Answers
To find which of the lines represent the solution we first need to solve the inequality:
[tex]\begin{gathered} -4y-8\ge-20 \\ -8+20\ge4y \\ 12\ge4y \\ \frac{12}{4}\ge y \\ 3\ge y \end{gathered}[/tex]the last line is equivalent as:
[tex]y\leq3[/tex]Now that we have the solution we can look at the line that represents it. The solution tells us that y is less or equal to 3, this means that the solutions are to the left of the number 3. Now, since the inequality is not an exact one that means that the 3 is also a solution, which also means that the circle over the 3 has to be a solid one.
With this in mind we conclude that the line representing the solution is the third option.
10. A car dealership offers a loan with 3.9% interest for 36 months, and you plan to purchase a car for $19,500. You can afford a down payment of $2,500.(a) What will your monthly payment be? $(b) How much will you pay in total for the car? $(c) How much will you pay in interest over the life of the loan? $
Answers
The monthly payment formula is :
[tex]M=P\times\frac{r(1+r)^n}{(1+r)^n-1}[/tex]where M is the monthly payment
P is the Financed amount
r is the rate of interest monthly, annual rate divided by 12
n is the number of payments
From the problem,
The financed amount is the difference between the car's cost and the down payment.
P = $19,500 - $2,500
P = $17000
The monthly interest rate is :
r = 3.9%/12 or 0.039/12 = 0.00325
n = 36 months
The monthly payment will be :
[tex]\begin{gathered} M=17000\times\frac{0.00325(1+0.00325)^{36}}{(1+0.00325)^{36}-1} \\ M=501.15 \end{gathered}[/tex]a. M = $501.15
b. The total payment for the car is monthly payment multiplied by the number of payment made together with the downpayment.
501.15 x 36 + 2500 = $20,541.4
c. The interest is the difference between the total payment made and the financed amount.
I = 501.15 x 36 - 17,000 = $1,041.4
6+[(-9)+(-1)] what does this equal
Answers
-4
Explanation:
6+[(-9)+(-1)]
Open the bracket:
6 + (-9) + (-1)
Note: Multiplication of opposite signs give a negative number.
6 - 9 - 1
= 6 - 10
= -4
7(x+2)=
4(x+4)=
9(x+6)=
Answers
Answer:
Step-by-step explanation:
7(x+2) = 7x+14
7(x+2)=7x+7 times 2
4(x+4)= 4x+16
4 times x = 4x
4 times 4 = 16
= 4x+16
9(x+6) = 9x+54
9 times x = 9x
9 times 6 = 54
= 9x+54
