Answers
c = [tex] \sqrt{a^{2}+b^{2} } [/tex]
We could square c to get rid of the square root.
[tex] c^{2} = a^{2} + b^{2} [/tex]
And then subtract [tex] a^{2} [/tex] from both sides
c ^ 2 - a ^ 2 = b ^ 2
Then square root both sides
[tex] \sqrt{ c^{2} - a^{2}} = b [/tex]
Related Questions
A culture of 1.75×1018 bacteria is in petri dish A. A culture of 6.25×1015 bacteria is in petri dish B. How many times greater is the number of bacteria in petri dish A than petri dish B
Answers
6.25x1015 = 6343.75 bacteria
Now take 6343.75 / 1781.50 = 3.56 times greater
Petri dish A has 280 times more bacteria than petri dish B.
To determine how many times greater the number of bacteria in petri dish A is compared to petri dish B, we use division.
The number of bacteria in petri dish A is [tex]1.75*10^{18[/tex].The number of bacteria in petri dish B is [tex]6.25*10^{15.[/tex]We divide the number of bacteria in dish A by the number of bacteria in dish B: [tex](1.75*10^{18}) / (6.25*10^{15})[/tex].Since division of exponents with the same base involves subtracting the exponents, we have: [tex]1.75 / 6.25 * 10^{(18-15)} = 0.28 * {10^3.[/tex]Converting 0.28 into a coefficient with a single digit gives us [tex]2.8 * 10^2.[/tex]Thus, the number of bacteria in petri dish A is 280 times greater than in petri dish B.You caught a red snapper that is 8 5/12 inches long. Your friend caught a red snapper that is 8 6/13 inches long. Who caught the larger red snapper?
Please show work so I can understand
Answers
6/13=8.46
And 5/12= 8.42
Then the person who caught the 8 6/13 red snapper caught the bigger snapper.
Emily can ride her scooter 18 miles in 50 minutes at same rate how far she ride in 2 hrs
Answers
Emily's scooter riding speed is 0.36 miles per minute. Multiplying this rate by 120, the number of minutes in 2 hours, we find that she would be able to travel a distance of 43.2 miles in 2 hours.
Explanation:To answer your question, we first need to find what Emily's speed is. That's how fast she's going. We know that Emily can ride her scooter 18 miles in 50 minutes. So, her speed is 18 miles/50 minutes. When we calculate this, it comes out to be 0.36 miles per minute.
The problem wants us to determine how far Emily can ride in 2 hours if she continues at this same speed. Since there are 120 minutes in 2 hours, we have to multiply her rate by 120.
Doing the multiplication: 0.36 miles/minute * 120 minutes = 43.2 miles. So, Emily could travel 43.2 miles in 2 hours at the same rate.
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The function m=30-3r represents the amount m (in dollars) of money you have after renting r video games.
Find the domain and the range of the function. Is the domain discrete or continuous? Explain.
Answers
m = 30 - 3r = 0
r = 10
The domain is therefore [0, 10].
The range is the value of the dependent variable which would be from 0 to the point when no video game is played. This is, [0, 30].
The function is discrete because r and m cannot take every value in the number line.
Domain and Range of the function are [tex][0, 10] \; \&\; [0,30][/tex] and it is a discrete function.
Explanation:
Given: The function [tex]m=30-3r[/tex] represents the amount [tex]m[/tex] (in dollars) of money you have after renting [tex]r[/tex] video games.
According to question,
Function is [tex]m=30-3r[/tex].
Domain of function is calculated as [tex]30-3r=0[/tex]
[tex]-3r=-30\\[/tex]
[tex]r=\frac{-30}{-3} \\r=10[/tex]
Domain of function is [tex][0, 10][/tex].
Now, range of the function is the value which is dependent variable on domain of the function.
Range of the function is [tex][0,30][/tex].
Here, The given function [tex]m=30-3r[/tex] is discrete because the values of [tex]r[/tex] and [tex]m[/tex] cannot take every value in the number line.
Therefore, Domain and Range of the function are [tex][0, 10] \; \&\; [0,30][/tex] and it is a discrete function.
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jennifer has started a blog and is using the bar chart below to keep track of how many followers she has, how many followers will she has on day n, pattern is adding 2 followers every day
Answers
Choose the correct definition for this term. median
A. middle value
B. average
C. most frequent value
Answers
Is correct!
An easy way to remember this is median(middle).
Hope this helped! God Bless!
Help me
Insert parentheses in Expression 2 so that it has a value of 19. Then show why your expression has a value of 19. Expression 2: 5+4×2+6-2×2-1
Answers
5+4 is 9
mulitpy by 2 to get 18
add 6 to get 24
subtract 4 (2x2) to get 20
then minus 1
The expression with required parentheses symbols is (5+4)×2+6-(2×2)-1 which has a value of 19.
What is the expression?Expressions are mathematical statements with a minimum of two terms containing variables or numbers.
We have been the given expression as
⇒ 5+4×2+6-2×2-1
We have to insert parentheses in the given expression so that it has a value of 19.
Here 5+4 = 9
Using parentheses symbols in (5+4) pairs to group
And multiply by 2 to get 18
After adding 6, we get 24
Here subtract (2×2) = 4 to get 20
Using parentheses symbols in (2×2) pairs to group
And then minus 1
⇒ (5+4)×2+6-(2×2)-1 = 19
Therefore, the expression with required parentheses symbols is (5+4)×2+6-(2×2)-1 which has a value of 19.
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A crew ship has 148 rooms with fifty on each of the two upper decks and the rest on the two lower decks.An upper deck room cost $1,000 and the lower deck room costs $900. Use the four-step plan to find the greatest possible room sales on one trip.
Answers
50 rooms on each upper deck x 2 decks = 100 rooms
100 rooms x 1000 per room = 100,000
That leaves 48 rooms on the 2 lower decks, so 48/2=24 rooms per lower deck
48 rooms x 900 per room = 43,200
100,000 + 43,200 = $143,200 (maximum room sales amount)
Hope this helps!! :)
Final answer:
To find the greatest possible room sales on the cruise ship, multiply the number of rooms on each deck by their respective prices and add the totals, resulting in a maximum possible sale of $143,200 for one trip.
Explanation:
The question involves finding the greatest possible room sales on a cruise ship during one trip. There are a total of 148 rooms, with fifty rooms on each of the two upper decks, totaling 100 upper deck rooms. The remaining 48 rooms are therefore on the two lower decks. Since an upper deck room costs $1,000 and a lower deck room costs $900, the greatest possible room sales can be calculated by assuming all rooms are occupied during a trip.
The total sales from the upper deck rooms would be 100 rooms × $1,000, which equals $100,000. The sales from the lower deck rooms would be 48 rooms × $900, which equals $43,200. Therefore, the greatest possible room sales on one trip would be the sum of the upper and lower deck sales:
Upper deck sales: 100 × $1,000 = $100,000
Lower deck sales: 48 × $900 = $43,200
Adding these together yields a total of $100,000 + $43,200 = $143,200 for the greatest possible room sales on one trip.
Is 1/8<-1/2 a solution or no?
Answers
Move the decimal point in 250,000 to The left as many places as necessary to. Find a number that is greater than or equal to 1 and Less than 10
Answers
you're making cookies for a party. The recipe calls for 1 bag of chocolate chips, 2 sticks of butter, 2 eggs, 2 cups of flour, 1 teaspoon of salt, 1 teaspoon of baking soda, 1 teaspoon of vanilla, 3/4 cup of sugar, and 3/4 cup of brown sugar. You need to scale the recipe up to 3 times to have enough cookies. List the amount of ingredients you will need.
Answers
during the NBA finals LeBron James scored six more points than kyrie Irving as Kevin love scored four more points than kyrie. How many points did they score if they scored 70 points a'll together?
Answers
Answer:
Step-by-step explanation:
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Which statement is true about a line and a point?
A point and a line have length as a dimension to measure.
A point is a location, and a line has many points located on it.
A line and a point cannot lie on the same plane.
A line and a point cannot be collinear.
pls help :(
Answers
Therefore, 2 is right
Answer:
B. A point is a location, and a line has many points located on it.
Step-by-step explanation:
Convert 2.5 into a whole number
Answers
Solve the following system of equations algebraically
-24-8x=12y
1+5/9y=-7/18x
Answers
Divide by 12
y = -2/3x - 2
1 + 5/9y = -7/18x
Subtract 1
5/9y = -7/18 - 1
Divide by 5/9, or multiply by 9/5
y = -7/10x - 9/5
Find the x-value they intersect at...
-2/3x - 2 = 7/10x - 9/5
Add 2
-2/3x = 7/10x + 1/5
Subtract 7/10x
(-20/30x - 21/30x) = 1/5
-41/30x = 1/5
Divide -41/30
x = -6/41
Alberto is saving money to buy a pair of shoes that cost $58 He already saved $ 32 he still needs to save d dollars
Answers
first person to answer all will earn bristliest
1. what is -6y+17=3y-10
2. what is 3x-32= -7x+28
3. what is 3.2-16=4a
4. what is 16.8-v=6v
Answers
Subtract 3y from both sides.
-6y - 3y + 17 = -10
Subtract 10 from both sides.
-6y - 3y = -12 - 10
Simplify.
-9y = -27
Divide both sides by -9.
y = 3
2) 3x - 32 = -7x + 28
Add 7x to both sides.
3x + 7x - 32 = 28
Add 32 to both sides.
3x + 7x = 28 + 32
Simplify.
10x = 60
Divide both sides by 10.
x = 6
3) 3.2 - 16 = 4a
Simplify.
-12.8 = 4a
Divide both sides by 4.
a = -3.2
4) 16.8 - v = 6v
Add v to both sides.
16.8 = 6v + v
Simplify.
16.8 = 7v
Divide both sides by 7.
v = 2.4
To check all answers, simply plug in the value of the variable that you found, then simplify.
~Hope I helped!~
A nutrition label indicates that one serving of Apple crisp oatmeal has 2.5 grams of fat. How many grams of fat are there in 3.75 servings? Justify your answer
Answers
To find the total grams of fat in 3.75 servings of Apple crisp oatmeal, multiply the fat per serving (2.5 grams) by the number of servings, resulting in 9.375 grams of fat.
To calculate the number of grams of fat in 3.75 servings of Apple crisp oatmeal, we can multiply the amount of fat in one serving by the number of servings. Given that one serving contains 2.5 grams of fat, we would perform the following calculation:
2.5 grams of fat/serving times 3.75 servings = 9.375 grams of fat
Therefore, there are 9.375 grams of fat in 3.75 servings of Apple crisp oatmeal. The nutrition label helps us understand the nutritional content of food, like the breakdown of macronutrients such as fats, carbohydrates, and proteins, as well as the caloric content of these macronutrients.
Find the three consecutive odd integers whose sum is 36.
Answers
Answer: No solution
Step-by-step explanation: We can start this problem in the usual way by setting up our three consecutive odd integers as followed.
X ⇒ first integer
X + 2 ⇒ second integer
X + 4 ⇒ third integer
X + (X + 2) + (X + 4) = 36
3x + 6 = 36
-6 -6
3x = 30
÷3 ÷3
X = 10
Notice however that 10 is an even number and in the original problem, we are asked to find odd integers. Even though we can work this problem all the way through, we say that this answer doesn't make sense so we say there is no solution.
Solve the inequality for b
10 ≥ - 2/3 (9+12B)
Answers
[tex]10 \geq \frac{-2}{3}*9 +\frac{-2}{3}*12B [/tex]
[tex]10 \geq (-2*3) +(-2*4B)[/tex]
[tex]10 \geq -6 -8B[/tex]
[tex]-8B \leq 10 + 6[/tex]
[tex]-8B \leq 16[/tex]
[tex]B \leq \frac{16}{-8} = -2[/tex]
B ≤ -2
Hence, B is any number less than or equal to -2.
Final answer:
To solve the inequality 10 ≥ - 2/3 (9+12B) for b, first eliminate the fraction by multiplying both sides by -3/2, then isolate b, resulting in b ≥ -2.
Explanation:
The student has asked to solve the inequality for b: 10 ≥ - 2/3 (9+12B). To do this, follow these steps:
Multiply both sides of the inequality by the reciprocal of -2/3, which is -3/2, to get rid of the fraction. This step is crucial for simplifying the inequality.
The inequality becomes: -15 ≤ 9 + 12B.
Subtract 9 from both sides to isolate the term with b on one side: -24 ≤ 12B.
Divide both sides by 12 to solve for b: b ≥ -2.
Therefore, the solution to the inequality 10 ≥ - 2/3 (9+12B) is b ≥ -2.
What is the unit price for 3 1/4 yards for $13?
Answers
[tex]3 \frac{1}{4} /3\frac{1}{4}=1 [/tex]
Therfore to find the cost for unit, we must divide the cost by:
[tex]3 \frac{1}{4}[/tex]
[tex]=13/3\frac{1}{4}[/tex]
Simplify.
[tex]=\frac{13}{1} /3\frac{1}{4}[/tex]
Convert mixed number into improper fraction.
[tex]=\frac{13}{1} /\frac{13}{4}[/tex]
Simplify.
[tex]=\frac{13}{1}*\frac{4}{13}[/tex]
[tex]=\frac{52}{13}[/tex]
Convert back to mixed number.
[tex]=4[/tex]
The unit cost for a yard is $4.
Hope this helps.
-Benjamin
Write a word problem for an expression that is three times as grest as (15+7). Then write the expression.
Answers
Lindsey buys 15 grapes, and then she adds 7 more. She decided to go back to the store and buy 3 times as many.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
Write a word problem for an expression that is three times as great as (15+7).
Lindsey purchases 15 grapes, then she purchases an additional 7. She made the decision to return to the store and purchase three more.
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find the measure of an angle whose compliment is seventeen times its measure.
Answers
So:
x + 17x = 90
18x = 90
x = 5
Hope this helps!
lets angle : x
its complement: 90-x
x + 17x = 90
18x = 90
x = 5
90 - 5 = 85
answer
angle = 5
compliment = 85
Triangle PQR is transformed to similar triangle P’Q’R’:
A coordinate plane is shown. Triangle ABC has vertices A at 2 comma 6, B at 2 comma 4, and C at 4 comma 4. Triangle A prime B prime C prime has vertices A prime at 1 comma 3, B prime at 1 comma 2, and C prime at 2 comma 2.
What is the scale factor of dilation?
1 over 2
1 over 3
1 over 4
1 over 5
Answers
Triangle ABC was dilated by a scale factor of 1/2 to form similar triangle P’Q’R’.
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Dilation is the increase or decrease in the size of a figure by a scale factor.
Triangle ABC was dilated by a scale factor of 1/2 to form similar triangle P’Q’R’.
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Please find the value of x
Answers
4x+26 = 12x-38
4x+64=12x
64 = 8x
x = 64/8 = 8
x = 8
4x+26=12x-38
Add 38 to both sides
4x+26+38=12x-38+38
4x+64=12x
Subtract 4 from both sides
4x+64-4x=12x-4x
64=8x
Divide both sides by 8
64/8=8x/8
8=x
Hope this helped!
The line segment is rotated 270 degrees counterclockwise about the origin to form A'B'. Which statement describes A'B'?
Answers
The coordinate of the A' and B' after 270 degrees counterclockwise will be (3, -1) and (3, -5), and it is shown below.
What is a transformation of a point?A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.
Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.
The line segment is rotated 270 degrees counterclockwise about the origin to form A'B'.
The coordinate of the A' and B' after 270 degrees counterclockwise will be (3, -1) and (3, -5), and it is shown below.
More about the transformation of a point link is given below.
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is 2/3 a irrational number rational number integer or whole number?
Answers
Please help! Quick!
Problem:
On a trip to the lake, Kerrie and Shelly rode their bicycles four more than three times as many miles in the afternoon as they rode in the morning. If the entire trip is 112 miles, how far did they ride in the morning and how far in the afternoon?
Please SHOW ALL OF YOUR WORK!
Answers
Answer:
The answer is 27 miles in the morning and 85 miles in the afternoon.
Step-by-step explanation:
So first you have to set up an equation.
X represents: the number of miles they rode in the morning.
3X + 4 represents: 4 more than 3 times this many in the afternoon
3X+4 + X = 112 represents: adding the morning miles and the afternoon miles together to get the total trip of 112 miles
Your equation to solve 3X+4+X =112
Now you can solve the equation
3X+4+X =112
Combine like terms (x's)
3X + X = 4X
4X+4=112
Subtract 4 from each side:
4X+ 4 - 4= 112-4
4-4 = 0 and 112-4 = 108
4X = 108
Divide both sides by 4
4X/4 = 108/4
4/4 = 1X and 104/4 = 27
X = 27
Remember X represents the number of miles they rode in the morning, so they rode 27 miles in the morning.
Remember 3X+4 represents the number of miles they rode in the afternoon.
3X+4 =
3(27)+4 =
81+4 =
85 miles.
That means in the afternoon, they rode 85 Miles
how would you simplify 9v-12v
Answers
Simply pretend as if there was no "v."
What is 9-12?
9 - 12 = -3
So, 9v - 12v = -3v
~Hope I helped!~
9v - 12v = (9 - 12)v = -3v
So, -3v is the answer.
There is a seven 1/2% sales tax added to the party bill. Mrs. Gutierrez also wants to add an 18% tip for the servers. This will be figured before tax is added. What will be the total cost of the party?