Answers
Answer:
The length of the third side of the triangle is 30.
Step-by-step explanation:
Here is the formula for the Pythagorean Theorem:
[tex]a^{2} + b^{2} = c^{2}[/tex]
The hypotenuse, based on the problem, is 50. Anyways, let's get back to calculating!
We need to multiply 40 times 40 and 50 times 50.
40 times 40, or 40 squared, equals to 1600.
50 times 50, or 50 squared, equals to 2500.
[tex]c^{2} - b^{2} = a^{2}[/tex]
Now, let's subtract. 2500 - 1600 = 900. We need to find the square root of 900--which is 30, because 30 times 30, or 30 squared, equals to 900.
Answer:
30
Step-by-step explanation:
c=√a^2+b^2
a=√c^2-b^2 = √50^2-40^2 = 30
Related Questions
exact decimals of 7 5/6
Answers
Answer:
7.83 repeating
Step-by-step explanation:
Cal’s
Steps:
First change it to a mixed number.
47/6
Then, divide the numerator by the denominator.
_
47/6= 7.83 with the 3 repeating
Games-R-Us offers a video game rental program with a monthly fee of $10 plus $2 per game rental. Games2Go charges a $2 monthly fee plus $4 per game. Given the same to stores Games-R-Us and Games2Go, how many games would you have to rent from each company to have your total cost be the same amount?
Answers
Answer:
4 games
Step-by-step explanation:
Let the number of games rented from both be represented by: g
For Games - R - Us
Games-R-Us offers a video game rental program with a monthly fee of $10 plus $2 per game rental.
$10 + $2 × g
= 10 + 2g
For Games2Go
Games2Go charges a $2 monthly fee plus $4 per game.
$2 + $4 × g
= 2 + 4g
Hence,
Games-R-Us = Games2Go
10 + 2g = 2 + 4g
Collect like terms
10 - 2 = 4g - 2g
8 = 2g
g = 8/2
g = 4 games
Therefore, number of games you would have to rent from each company to have your total cost be the same amount is 4 games
A dolphin is 40 feet below sea level. It swims up and jumps out of the water to a height of 10 feet above sea level.
How many feet did the dolphin change it's position?
Answers
Answer: 50 feet
Step-by-step explanation: it went 40 feet to get to the surface of the water then it went and extra 10 feet above water so 40+10=50
Tell whether the statement is always, sometimes or never true.
A positive integer is greater than its opposite.
Answers
An integer is a whole number that can be either greater than 0, called positive, or less than 0, called negative. Zero is neither positive nor negative. Two integers that are the same distance from the origin in opposite directions are called opposites.
Help please!!!!!!!!!!!!!!!!!!
Answers
Answer:
trapezoid
Step-by-step explanation:
A 45 foot tall tree casts a shadow that is 58 feet long. Find the measure of the angle of elevation of the sun from the tip of the shadow to the top of the tree. Round your answer to the nearest degree.
Question options:
A 90
B 38
C 45
D 52
Answers
Answer:
d
Step-by-step explanation:
Joe bidenisapedophi and likes little children recomend u stay away from the freak
9. The Strawberry Festival is finally here! Mrs.
Sullivan bought two gourmet pretzels and four
boxes of strawberries for a total cost of $43. Mr.
Hawke bought two gourmet pretzels and two
boxes of strawberries for $30
a. Write the system to represent the situation.
b. Solve the system (using the method of your
choice) to find how much a box of strawberries
cost.
Answers
[tex]\left \{ {{- \atop {2(21.5-2y)+2y=30}} \right.[/tex]Answer:
Step-by-step explanation:
a)
x= gourmet pretzels
y= boxes of strawberries
system will be:
[tex]\left \{ {{2x+4y=43 \atop {2x+2y=30}} \right.[/tex]
b)
[tex]\left \{ {{2x+4y=43 \atop {2x+2y=30}} \right.[/tex] [tex]\left \{ {{x=21.5-2y \atop {2x+2y=30}} \right.[/tex][tex]\left \{ {{- \atop {2(21.5-2y)+2y=30}} \right.[/tex][tex]\left \{ {{- \atop {43-4y+2y=30}} \right.[/tex][tex]\left \{ {{- \atop {-4y+2y=30-43}} \right.[/tex][tex]\left \{ {{- \atop {-2y=-13}} \right.[/tex][tex]\left \{ {{- \atop {y=\frac{13}{2} }} \right.[/tex][tex]\left \{ {x=21.5-2(6.5)}} \atop {y=6.5}} \right.[/tex][tex]\left \{ {{x=8.5} \atop {y=6.5}} \right.[/tex]
a box of strawberries is 6.5
Evaluate
41+31
21
Answers 10’ 8’ 15
Answers
Answer:
the answer its 15 I hope helps you
Step-by-step explanation:
QUIC what is the LCM of 6 and 8
Answers
Answer:
24
Step-by-step explanation:
guys pls i post two more questions that i dont kno and i want to pass my test sorry ,but they are important
Answers
Using the given table of an exponential function, determine the growth/decay factor as well as the rate of increase/decrease. Type your answers in as numbers. Example: Growth Factor: 3.5, Rate of Increase: 2.5. (Do not input your rate of increase as a percent.)
Answers
Answer:
Growth rate is -0.25
Growth factor is 0.75
Step-by-step explanation:
The general form of an exponential equation is;
y = a(1 + r)^x
Where a is the initial value
r is the growth rate
For x = 3; we have
168.75 = 400(1 + r)^3 •••• (i)
For x = 2, we have
225 = 400(1 + r)^2 •••••(ii)
Divide i by ii
That will be;
168.75/225 = 1 + r
1 + r = 0.75
r = 0.75-1
r = -0.25
The growth rate is -0.25
The growth factor is 1-0.25 = 0.75
Which expression fits this description?
-The expression is the sum of two terms.
-the first term is the product of 2 and a.
-the second term is the quotient of b and 4.
-----------------------------------------------------------------
(2+a)+(b-4)
2a+(b-4)
2a+b/4
(2+a)+b/4
Answers
Answer:
i didthe math, its c
What is the equation of the line that passes
through the points (-7, -10) and (-6, -8)?
Answers
1. Explain whether each following example is proportional or non-proportional.
(a)y=7x-3
(b)The graph is for b
(c) A gallon of milk costs $1.99. A half-gallon of milk costs $3.89.
(d)
x y
2 13
3 19.5
4 26
5 32.5
Answers
9514 1404 393
Answer:
(a), (b), (c) are non-proportional
(d) is proportional
Step-by-step explanation:
An equation or graph with a non-zero y-intercept is non-proportional. That is true for (a), (b), (c).
The table of (d) is proportional, with a constant of proportionality of 6.5.
__
Comment on (c)
In a proportional relation, price would go up with quantity, not down. If the prices both end in 9, one cannot be double the other, as would be required for the price of a gallon to be proportional to the price of a half-gallon.
the sale price of a 26$ item are a 50% discount
Answers
Pleaseeeee help meeeee !!!!!!!!!!!!!!!!!!! Answer correctly please !!!!!!!!!!!!!!!!!!!!
Answers
Step-by-step explanation:
8^2+√34^2
64+1156
1227
√1227
35.02
Please help ASAP.
A ferris wheel has a diameter of 42 feet. About how far does it travel if it makes 10 revolutions?
Answers
Answer:
the freak
Step-by-step explanation:
Need help for this one!!
Answers
I need help! and someone to tell me how to do it
step by step i have my exams tmr!
Answers
Answer:
Step-by-step explanation:
if you look at the graph 0-3 is positive
so that gives us 3+
3-2(you count 3 to -2 is negative since it goes left
so that gives us 3+(-5)
thks
What is the solution to this equation?
9x + 5 = 86
Answers
Answer: 9(9)+ 5 = 86
Step-by-step explanation: the x equals 9 so means 9(9) + 5 = 86
Answer:
x = 9
Step-by-step explanation:
9x + 5 = 86, minus 5 of both sides
9x = 81, divide 9 on both sides
x = 9
how many solutions does the following equation have?
4(2x+3)-7=8x+5
a- infinite
b- no solution
c- one solution
Answers
Unit #2 - Lesson #7 Exit Ticket: Solve the equation shown below for the variable x. Place your answer in the answer box.
Answers
Answer:
[tex]x = bc + 2b[/tex]
PLEASE MARK ME AS BRAINLIEST
What is the value of x in the equation 3 - 2x= -1 5x?
Answers
Answer:
x = -2
Step-by-step explanation:
Simplifying
2x + -5x = 3x + 12
Combine like terms: 2x + -5x = -3x
-3x = 3x + 12
Reorder the terms:
-3x = 12 + 3x
Solving
-3x = 12 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
-3x + -3x = 12 + 3x + -3x
Combine like terms: -3x + -3x = -6x
-6x = 12 + 3x + -3x
Combine like terms: 3x + -3x = 0
-6x = 12 + 0
-6x = 12
Divide each side by '-6'.
x = -2
Simplifying
x = -2
-2=-2/3x
write in standard form pls answer quick
Answers
Answer:
2x=6
Step-by-step explanation:
13.If one-seventh of a number minus 5 is 4, then the number isRequired to answer.
Answers
Answer:
Step-by-step explanation:
63
1/7x-5=4
1/7x=9
X=63
Help plz test !! Four more than the product of a number and 10 is at most the opposite of 12.
Answers
Answer:
-1.6
Step-by-step explanation:
4 + 10x = -12
10x = -12 -4
x= -1.6
[tex]4x-38=53[/tex]
Solve for 'x'.
Answers
Answer:
x = 22.75
Step-by-step explanation:
Step 1: 4x - 38 = 53 <----- Here is the original problem.
Step 2: 4x - 38 + 38 = 53 + 38 <----- Add 38 to both sides.
Step 3: 4x = 91 <----- Simplify
Step 4: [tex]\frac{4x}{4} =[/tex] [tex]\frac{91}{4}[/tex] <----- Subtract both sides by 4.
x = 22.75
Hope this helps! :D
suppose the depth of the tide in a certain harbor can be modeled by y = 20 + 5 cos (pi/6 t), where y is the water depth in feet and t is the time in hours. Consider a day in which t = 0 represents 12:00 midnight. For that day, when are high tide and low tide and what is depth of each
Answers
Answer:
- high tide occurs at 12 noon and 12 midnight
- Low tide occurs at 6 a.m and 6 p.m
- maximum depth value = 20 ft
- Minimum depth value = 15 ft
Step-by-step explanation:
The depth is modelled as;
y = 20 + 5 cos (πt/6)
We are told that t = 0 represents 12:00 midnight.
This is high tide because at t = 0, the cos function will be at it's maximum value of 1 since cos 0 = 1.
Max depth value is;
y = 20 + 5(0)
y = 20 ft
Minimum depth value will be the low tide and it will be when the cos function is equal to -1.
Thus;
y = 20 + 5(-1)
y = 15 ft
Since t represents number of hours and since at 12 midnight, t = 0, thus; high tide will occur again at;
12 noon
Also, let's check for low tide.
Let's try t = 6 which means 6 a.m
Thus;
y = 20 + 5 cos (π(6)/6)
y = 20 + 5 cos π
Cos π has a value of -1
Thus;
y = 20 + 5(-1)
y = 20 - 5
y = 15 ft
Thus;
Low tide occurs at 6 a.m and 6 p.m
manuel has $15 to spend.on apps and music. Apps cost $2 each and songs cost $1 each. If x represents the number of apps purchased and y represents the number of songs purchased, write a linear equation that represents the combination of apps and songs manuel can purchase.
Answers
Answer:
2x + y = 15
Step-by-step explanation:
Total amount with Manuel = $15
Cost of apps = $2
Cost of song = $1
x = number of apps purchased
y = number of songs purchased
Cost of apps × number of apps purchased + Cost of song × number of songs purchased = Total amount with Manuel
2*x + 1*y = 15
2x + y = 15
The linear equation that represents the combination of apps and songs manuel can purchase is 2x + y = 15
Plz answer corecctlt 4 1⁄6 ÷ 1 1⁄3 = and also give the mixed fraction
Answers
Answer:
The answer is 0.5 and the Mixed Fraction is 1/2
Step-by-step explanation:
Answer:
3 1/8
Step-by-step explanation:
im only answering this late incase if someone else is looking for the right answer