Find the missing measure.
51°
x
Answers
Answer: It's 129°
Step-by-step explanation: Because we know x and 51 are supplementary angles (add up to 180), We can do x + 51 = 180, to figure out that x is equal to 129°.
Hope this helps :)
Related Questions
does the graph show a proportional relationship? explain.
Answers
Mr. Evans is currently 4 times as old as his son, Dan. If Mr. Evans was 46 years old 2 years ago, how old is Dan now?
Answers
Answer:
the son age is 13band Evans age is 52 years old at present day
Dan is 12 years old.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
let the Age of Dan is x years
Mr. Evans Age = 4x
If Mr. Evans was 46 years old 2 years ago
The, Present age of Mr. Evans = 48 years
So, Dan's Age = 48/4
= 12 years.
Hence, Dan is 12 years old.
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On a horizontal number line, -45 is located to the left of -35
Answers
Answer:
true
Step-by-step explanation:
<________________________>
-45 -35 0
A statue in a harbor is approximately 295 feet tall. If the angle of the elevation of a ship to the top of the statue is 21.7 degrees, how far is the ship from the statue’s base?
Answers
Answer:
741.3 feet if rounding to the nearest tenth
Step-by-step explanation:
You will do 295/tan21.7 which gives you approximately 741.3 feet
The curve with equation y = x - 3x + 1 is reflected in the x-axis.
Select the equation of the reflected curve.
Answers
Answer:
Step-by-step explanation:
C
1 point
1. To win a prize, Jada must get a ball with an even number. Should she try
to win the prize using the tank of table tennis balls or the tank of golf balls?
A large fish tank is filled with table tennis balls with numbers written on them. Jada chooses 10
table tennis balls from the tank and writes down their numbers.
1
3
5
1
3.
2
4
1
5
3
A second tank is filled with golf balls with numbers written on them. Jada chooses 10 golf balls
from the tank and writes down their numbers.
1
4
5
2
6
2
2.
1
4
8
O Jada should use the tank of tennis balls.
O Jada should use the tank of golf balls.
1b. Explain your reasoning."
3 points
Your answer
Answers
Answer:
Jada should use the tank of golf balls
Step-by-step explanation:
Jada should choose the tank that has a higher probability of choosing a ball with even number from.
Tank of tennis balls has two even numbers out of the ten balls (2, 4)
Tank of golf balls has seven even numbers out of the ten balls.
Tank of golf balls would give Jada more chance to pick an even number to win the game
Therefore, Jada should use the tank of golf balls
Two systems of equations are given below.
For each system, choose the best description of its solution.
If applicable, give the solution.
System A
x+3y=9
-x-3y=9
System B
-x-3y=-3
x+3y=3
O The system has no solution.
O The system has a unique solution:
(x, y) = (
O The system has infinitely many solutions.
They must satisfy the following equation:
y = 0
O The system has no solution.
O The system has a unique solution:
(x, y) = (D)
O The system has infinitely many solutions.
They must satisfy the following equation:
y=0
Answers
The system A has no solution.
The system B has the solution y=( 3-x )/3
What is the solution to an equation?
In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.
System A:
x+3y=9..........(1)
-x-3y=9 ..........(2)
(1) => x=9-3y........(3)
Substitute (3) into (2)
(2) = > - ( 9-3y ) - 3y = 9
-9 + 3y - 3y = 9
-9 =9
This is false.
So, the system has no solution.
System B:
-x-3y=-3..........(1)
x+3y=3..........(2)
(2) => x=3-3y........(3)
Substitute (3) into (1)
-(3-3y)-3y=-3
-3+3y-3y= -3
-3=-3
This is true,
So, the solution is:
x=3-3y
=> 3y= 3-x
=> y=( 3-x )/3
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The land in Mexico City is subsiding over time. What is the primary cause of this problem?
A.
too many dams being built along rivers
B.
deforestation caused by cutting down trees
C.
too many buildings being constructed
D.
underground aquifers being overpumped
Answers
Answer: D.
Step-by-step explanation:
Water is continually pumped out of underground aquifers to prevent flooding and to provide drinking water. This makes the soil compact, causing the city to sink.
Answer:
The correct answer is D. underground aquifers being over pumped
Step-by-step explanation:
Find the circumference of a
circle with diameter, d = 10.8cm.
Give your answer rounded to 3
SF.
Answers
Answer:
33.9
Step-by-step explanation:
r = d/2
= 5.4
\(2\pi \: r\)
\( = (2)(\pi)(5.4)\)
=33.93
C=33.912
rounded 33.9
This is my first time doing this if it’s wrong literally Pretend this wasn’t even here
PLEASE best explanation gets brainliest
Answers
Answer:
55
Step-by-step explanation:
Because you would minus 180-125 to get angle 1 and they said that angle 2 is parallel so they would be the same anwser so the answer is 55.
Find the length of the third side. If necessary, round to the nearest tenth.
4.
2
Answers
Formula:
C^2 =a^2 + b^2
Answer = 4.47
Nearest tenth= 4.5
The length of the third side of the triangle is 4.5 units.
What is Pythagoras Theorem?
The Pythagorean theorem, or Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle.
Here, sides of triangle is AB = 4 , BC = 2
By Pythagoras Theorem,
AC² = AB² + BC²
AC² = 4² + 2²
AC² = 20
AC = √20
AC = 4.47
AC = 4.5
Thus, the length of the third side of the triangle is 4.5 units.
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You lease a car at $23,495 for 3 years at $429.95 a month with a $500 down payment. The interest is 30% of the payments and $4,643.46 in interest is paid over 3 years. What is the remaining balance when the lease ends? How did you arrive at $12,160.26?
Answers
Answer:
Step-by-step explanation:
total interest paid is given as $4,643.46.
total payments = $429.95 x 36 months = $15,478.20
total lease payments = total payments - total interest
total lease payments = $15,478.20 - $4,643.46 = $10,834.74
Remaining balance = Total cost of the lease - Total lease payments
$23,495 - $10,834.74 = $12,660.26
uppose that a single die with 8 sides (numbered 1, 2, 3, ... , 8) is rolled twice. What is the probability that the sum of the two rolls equals 5
Answers
Answer:
1/16 = 0.0625 = 6.25% probability that the sum of the two rolls equals 5.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
Die with 8 sides
This means that the total number of outcomes is \(T = 8^2 = 64\)
Outcomes in which the sum of the two rolls is 5:
(1,4), (4,1), (2,3), (3,2)
4 desired outcomes, so \(D = 4\)
What is the probability that the sum of the two rolls equals 5?
\(p = \frac{D}{T} = \frac{4}{64} = 0.0625\)
1/16 = 0.0625 = 6.25% probability that the sum of the two rolls equals 5.
The probability that the sum of the two rolls equals 5 is 1/16
What is probabilityProbability is the likelihood or chance that an event will occur.
Probability = Expected outcome/Total outcome
Given a single die with 8 sides (numbered 1, 2, 3, ... , 8) is rolled twice, the total outcome will be:
Total outcome = 8^2
Total outcome = 64
For the sum of two rolls, the expected outcome will be:
E = {(1, 4), (4, 1), (3, 2), (2, 3)}
n(E) = 4
Pr(sum of the two rolls is 5) = 4/64
Pr(sum of the two rolls is 5) = 1/16
Hence the probability that the sum of the two rolls equals 5 is 1/16
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Find the slope of the tangent line to the curve defined by 4x2+5xy+y4=370
at the point (−9,−1)
Answers
Answer:
The slope of the tangent line to the curve at the given point is -11/7.
Step-by-step explanation:
Differentiation is an algebraic process that finds the gradient (slope) of a curve. At a point, the gradient of a curve is the same as the gradient of the tangent line to the curve at that point.
Given function:
\(4x^2+5xy+y^4=370\)
To differentiate an equation that contains a mixture of x and y terms, use implicit differentiation.
Begin by placing d/dx in front of each term of the equation:
\(\dfrac{\text{d}}{\text{d}x}4x^2+\dfrac{\text{d}}{\text{d}x}5xy+\dfrac{\text{d}}{\text{d}x}y^4=\dfrac{\text{d}}{\text{d}x}370\)
Differentiate the terms in x only (and constant terms):
\(\implies 8x+\dfrac{\text{d}}{\text{d}x}5xy+\dfrac{\text{d}}{\text{d}x}y^4=0\)
Use the chain rule to differentiate terms in y only. In practice, this means differentiate with respect to y, and place dy/dx at the end:
\(\implies 8x+\dfrac{\text{d}}{\text{d}x}5xy+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)
Use the product rule to differentiate terms in both x and y.
\(\boxed{\dfrac{\text{d}}{\text{d}x}u(x)v(y)=u(x)\dfrac{\text{d}}{\text{d}x}v(y)+v(y)\dfrac{\text{d}}{\text{d}x}u(x)}\)
\(\implies 8x+\left(5x\dfrac{\text{d}}{\text{d}x}y+y\dfrac{\text{d}}{\text{d}x}5x\right)+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)
\(\implies 8x+5x\dfrac{\text{d}y}{\text{d}x}+5y+4y^3\dfrac{\text{d}y}{\text{d}x}=0\)
Rearrange the resulting equation in x, y and dy/dx to make dy/dx the subject:
\(\implies 5x\dfrac{\text{d}y}{\text{d}x}+4y^3\dfrac{\text{d}y}{\text{d}x}=-8x-5y\)
\(\implies \dfrac{\text{d}y}{\text{d}x}(5x+4y^3)=-8x-5y\)
\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{-8x-5y}{5x+4y^3}\)
To find the slope of the tangent line at the point (-9, -1), substitute x = -9 and y = -1 into the differentiated equation:
\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{-8(-9)-5(-1)}{5(-9)+4(-1)^3}\)
\(\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{72+5}{-45-4}\)
\(\implies \dfrac{\text{d}y}{\text{d}x}=-\dfrac{77}{49}\)
\(\implies \dfrac{\text{d}y}{\text{d}x}=-\dfrac{11}{7}\)
Therefore, slope of the tangent line to the curve at the given point is -11/7.
What happens if you can write a function as a composite in different ways? Do you get the same derivative each time? The Chain Rule says you should. Find
dy/dx if y=x by using the Chain Rule with y as a composite of the following functions. Complete parts (a) and (b) below.
Answers
Using the Chain Rule, we have: dy/dx = f'(g(x)) * g'(x) = 1 * 1 = 1.The derivative of y with respect to x is 1.
When we compose a function, it may be possible to write it in a variety of different ways. Differentiating such functions can result in different derivatives, but the Chain Rule indicates that the derivatives of the compositions should be the same regardless of how the function is written, if the function is continuous and differentiable.For instance, consider the function f(x) = sin(x²). It can be written as f(g(x)) where g(x) = x² and f(x) = sin(x). Furthermore, it can be written as f(h(x)) where h(x) = x² and f(x) = sin(x). These are both compositions of functions, but they are different compositions that lead to different derivatives.However, if the function is a composite of differentiable functions, the Chain Rule tells us that the derivative of a composite function is the derivative of the outer function multiplied by the derivative of the inner function.
To find dy/dx if y = x using the Chain Rule with y as a composite of the following functions, we must first rewrite y as a composite function: y = f(g(x)) where g(x) = x and f(x) = x. This composite function can be written in a variety of different ways, such as y = f(h(x)) where h(x) = x and f(x) = x, or y = f(k(x)) where k(x) = x and f(x) = x. However, regardless of how we write it, the Chain Rule tells us that the derivative of y is equal to the derivative of the outer function (f(x) = x) multiplied by the derivative of the inner function (g(x) = x).
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A survey among seniors at a large university revealed that the number of hours spent studying the week before final exams was normally distributed with a mean of 25 hours and a standard devation of 7. Twenty percent of the seniors spent less than what amount of time studying?
Round your answer to 1 decimal places.
Answers
If a survey among seniors at a large university revealed that the number of hours spent studying the week. 20% of the seniors spent less than approximately 19.1 hours studying.
How to find the amount spent?We are given that the number of hours spent studying by seniors is normally distributed with a mean of 25 hours and a standard deviation of 7 hours.
Let X be the number of hours spent studying, then we can write:
X ~ N(25, 7^2)
We want to find the amount of time that 20% of the seniors spent less than.
Let's find the z-score that corresponds to the 20th percentile of the standard normal distribution:
z = invNorm(0.20) ≈ -0.84
We can use the formula for standardizing a normal distribution to find the corresponding value of X:
z = (X - μ) / σ
Substituting the values, we get:
-0.84 = (X - 25) / 7
Solving for X, we get:
X = -0.84 * 7 + 25
X ≈ 19.1
Therefore, 20% of the seniors spent less than approximately 19.1 hours studying.
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The mug is 5/8 full, the mug contains 3/4 of water find the capacity of the mug
Answers
The capacity of the mug is 1.2. The capacity of the mug can be found by using the equation C = (3/4) ÷ (5/8).
What is capacity?It is the maximum amount of output that can be produced in a given period of time. Capacity is usually expressed in terms of units per unit of time, such as gallons per minute or passengers per hour.
In this equation, 3/4 represents the amount of water in the mug, and 5/8 represents the amount the mug is full.
Let the capacity of the mug be x.
Given,
Mug is 5/8 full and contains 3/4 of water
So, 5/8 of the mug is filled with water
Therefore,
5/8 of x = 3/4
(5/8 )x = (3/4)
x = (3/4) × (8/5)
x = (24/20)
x = 1.2
Therefore, the capacity of the mug is 1.2.
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Help me
Plssssssssssssss
Answers
Answer:
18 mi per hr
16 mi per hr
18 mi per hr
14 mi per hr
Step-by-step explanation:
72 miles in 4 hours
\(72 \div 4 = 18\)
18 miles in 1 hour (18 miles per hour)
96 miles in 6 hours
\(96 \div 6 = 16\)
16 miles per hour
36 miles in 2 hours
\(36 \div 2 = 18\)
18 miles per hour
70 miles in 5 hours
\(70 \div 5 = 14\)
14 miles per hour
A bakery is making apple pies and carrot cakes. Each
apple pie nets $5 profit. For each carrot cake, they
make $10 profit. Each pie take 4 hours to prepare and
1.5 hours to bake. The carrot cakes take 0.5 hours to
prepare and 0.5 hours to bake. The maximum
preparation time is 20 hours. The maximum baking
time is 10 hours. How many pies and cakes should be
made to maximize profits?
Answers
Answer:
8 thats how many pies and cakes you can do
Step-by-step explanation:
you have 20 minutes and 10 and the most cakes you can get with left over is 8
The pies and cakes should be made to maximize profits is 8 pies.
What is profit?Profit is defined as the sum of revenue and income after all costs have been deducted by a business. A function with a business-oriented focus is called a profit function. The main goal of a business is to generate income through the sale of goods and services, minus the costs associated with producing those goods and services, in order to turn a profit.
Revenue minus costs equals profit.
Costs comprise both variable costs and fixed costs, whereas revenue is the total amount of positive cash flow that a business generates.
The maximum number of cakes you can get with leftovers in 20 minutes and 10 is 8.
Thus, the pies and cakes should be made to maximize profits is 8 pies.
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Edna purchased a table for
$403.20. This amount already included the sales tax. If the price of the table before sales tax was $360.00, what percent was the sales tax?
Answers
Answer:
1.12
Step-by-step explanation:
I divided 403.20 and 360.00.
Hope this helps
Dean ran 2.3 fewer kilometers than Sam. If Dean ran 6.8 km, how far did Sam run?
A 2-column table with 4 rows. Column 1 is labeled Situation with entries increasing, difference, finding part of a total, sharing or grouping. Column 2 is labeled Operation with entries +, minus, times, divided by.
Select all that apply.
You know the difference in the distances the boys ran, so this is a subtraction problem.
You are finding the total distance the boys ran, so this is an addition problem.
Dean ran part of the distance Sam ran, so this is a multiplication problem.
The correct equation is s + 2.3 = 6.8.
The correct equation is s – 2.3 = 6.8.
The correct equation is 2.3s = 6.8.
Answers
Answer:
A,E
Step-by-step explanation:
Operation: Minus
To find how far Sam ran, we need to subtract 2.3 from Dean's distance of 6.8 km.
6.8 km - 2.3 km = 4.5 km
Therefore, Sam ran 4.5 km, since Dean ran 2.3 km fewer than Sam.
Answer:
a and e
Step-by-step explanation:
got it right on homework
Find the percent of tip: cost of meal $19.50, Tip $3.12
Answers
Answer:
16%
Step-by-step explanation:
The tip percentage is the fraction multiplied by 100%.
$3.12/$19.50 × 100% = 16%
Question 6
Which is the graph of y=-x-3?
Graph B
Graph C
Graph A
Answers
Answer:
Step-by-step explanation:
The population of a city was 10,000 in 2010. The population increase at an annual rate of 2.5% per year. Is the growth model function that represents the population of the city linear?
Answers
Answer:
The growth model that represents the population of this city is not linear--it is exponential:
\(f(t) = 10000( {1.025}^{t} )\)
\(t = 0 \: represents \: 2010\)
FIND THE AREA PLEASE
Answers
Answer:
the area of the shape is 48m
Step-by-step explanation:
10*4=40
2*4=8
40+8=48
brake it up into two triangles. one is a triangle that is 10m tall and 8m wide at the top. you can solve that by doing 4*10=40. the other triangle is 4m wide at the bottom and 2m tall. you can solve that by doing 2*4=8. and 40+8=48.
Plz help me well mark brainliest if correct!!....
Answers
Answer:
35 square units
Step-by-step explanation:
take the amount of each side and multiply. so it would be 5 times 7. that gives you the total area.
Answer:
Your answer is 35!
Step-by-step explanation:
You just count the squares along the sides of the rectangle. Since you need length and width to find area, you count the bottom side and one of the sides. Then multiply! Or just count the squares inside the rectangle :)
A cookie costs $1.95. How much would 15 cookies cost at the same price per cookie?
Answers
Answer:
cost of cookie = $1.95
cost of 15 cookies = $1.95 *15
cost of 15 cookies = $29.25
Step-by-step explanation:
What is the surface area of the figure? 408ft^2 458ft^2 545ft^2 720ft^2
Answers
9514 1404 393
Answer:
(b) 458 ft²
Step-by-step explanation:
The total area is the sum of the L-shaped front and back areas and the areas of the 6 rectangular faces.
The front L-shaped area can be considered to be a 12 ft × 12 ft square with a 5 ft × 7 ft rectangle cut from the upper left corner. Its area is then ...
(12 ft)(12 ft) -(5 ft)(7 ft) = (144 -35) ft² = 109 ft² . . . . front area
__
The sum of the areas of the rectangular faces is the product of the width of the figure (5 ft) and the perimeter of the L-shaped face. That perimeter is the sum of the edge lengths. Starting from the lower-left corner and working clockwise, we find the perimeter to be ...
7 ft + 7 ft + 5 ft + 5 ft + 12 ft + 12 ft = 48 ft
Then the sum of rectangular face areas is ...
(48 ft)(5 ft) = 240 ft² . . . . rectangular face area
The total surface area is then ...
2×front area + rectangular face area
= 2×109 ft² +240 ft² = 458 ft² . . . . total surface area
4. Sue and Ann earned the same amount of money, although one worked 6 days more than the
other. If Sue earned $36 per day and Ann earned $60 per day, how many days did each work?
Answers
36S = 60A
S = A + 6
Substitute
36(a + 6) = 60a
36a + 216 = 60a
216 = 24a
a = 9
Ann worked 9 days, Sue worked 15 days
Check
36(15) = 60(9)
540 = 540
How to solve step by step
