Answers
First, we know that a² + b² = c². We will just be using this in a different way! b² = c² - a²
b² = 32² - 28²
b² = 1024 - 784
b² = 240
b = 15.49
Hope this helps!
Related Questions
Solve:
1. Square both sides of the equation.
2. Expand the left side. (3 − k)(3 − k) = 3k + 1
3. Multiply 9 − 6k + k2 = 3k + 1
4. Write the quadratic equation in standard form. k2 − 9k + 8 = 0
5. Factor the quadratic equation. (k − 8)(k − 1) = 0
6. Use the zero product property.
The solutions to the quadratic equation are
.
The true solution(s) to the radical equation
Answers
The solutions to the equation [tex]3-k=\sqrt{3k+1}[/tex] are k = 1 and 8
The given equation is:
[tex]3-k=\sqrt{3k+1}[/tex]
Square both sides of the equation
[tex](3-k)^2=3k+1[/tex]
Expand the left side of the equation above
[tex](3-k)^2=3k+1\\\\(3-k)(3-k)=3k+1\\\\3^2-3k-3k+k^2=3k+1\\\\9-6k+k^2=3k+1[/tex]
Write the quadratic equation in standard form
[tex]k^2-6k-3k+9-1=0\\\\k^2-9k+8=0\\\\[/tex]
Factor the quadratic equation
[tex](k-8)(k-1)=0[/tex]
Use the zero product property
k - 8 = 0
k = 8
k - 1 = 0
k = 1
The solutions to the equation [tex]3-k=\sqrt{3k+1}[/tex] are k = 1 and 8
Learn more here: https://brainly.com/question/25840704
answer
first one: 8 and 1
second one: is 1
Step-by-step explanation:
slay
The box of cereal used to contain 16 ounces of cereal. The box now holds 12 ounces of cereal what is the percent decrease?
Answers
Hope this helps!
Matilda earns 48$ in 4 hours, How many hours does it take her to earn 288$?
Answers
Answer:
24
Step-by-step explanation:
If Matilda earns $48 in 4 hours, then she must earn 48/4 (12) dollars per hour. We know she earns $12 per hour, and that she made $288, so we divide the total amount earned (288) by her hourly wage ($12) to find she worked 288/12 or 24 hours.
Matilda will earn $288 in 24 hours.
What are word problems?A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
Given is that Matilda earns $48 in 4 hours.
Let us assume that it will take her {x} hours to earn $288.
Then, we can write -
there is earning of $48 in 4 hours.
so, there will be earning of $1 ins (4/48) or (1/12) hours.
hence, she will earn $288 in (1/12 x 288) or 24 hours.
Therefore, Matilda will earn $288 in 24 hours.
To solve more questions on equation modelling, visit the link below -
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I REALLY NEED YOUR HELP DUE AT THE END OF CLASS.
Answers
Answer:
Type 2
Step-by-step explanation:
Equation of the line is:
y=2
slope is 0
What numbers are located exactly 5/3 units from point P on the number line?
Answers
The required numbers are -2.33 and 1 are a distance of 5/3 unit from -2/3 on a number line.
What is Number Line?In math, a number line can be defined as a straight line with numbers arranged at equal segments or intervals throughout. A number line is typically shown horizontally and can be extended indefinitely in any direction.
Here, we have,
We have been given that number line, the numbers that are 5/3 units away from the number -2/3 are the numbers that are 5/3 units to its right and left.
The numbers are given by -2/3 - 5/3 and -2/3 + 5/3.
So the required numbers would be:
⇒ -2/3 - 5/3 = -7/3 = -2.33
⇒ -2/3 + 5/3 = 3/3 = 1
Therefore, the required numbers are -2.33 and 1 are a distance of 5/3 unit from -2/3 on a number line.
Learn more about the number line here:
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4.69 divided by 3.5 please help
Answers
Answer:
1.34
Step-by-step explanation:
Used a Calculator
Answer:
1.34
Step-by-step explanation:
4.69/3.5
=1.34
Here is your answerPlz mark me as brainliestTim is an elementary school art teacher. His students are sculpting a replica of a shark out of clay. Tim has given them one block of clay to make 20 conical shark teeth for the sculpture. The block contains 81 cm3 of clay. If each tooth is solid and has a 2. 5 cm base diameter, what is the maximum height each tooth can be? Assume that the students use all the clay. A. 1. 25 cm B. 2. 27 cm C. 2. 47 cm D. 3. 57 cm E. 4. 50 cm.
Answers
The maximum height each tooth is 2.47cm.
The first step is to determine the maximum volume of a tooth.
Maximum volume of a tooth = volume of the block / number of teeth
81 cm³ / 20 = 4.05cm³
The formula to determine the height of a cone is:
Height = volume ÷ [tex]\frac{1}{3}[/tex]πr²
Where:
π = pi = 22/7 r = radius = 2.5 / 2 = 1.25cmHeight = 4.05 ÷ [tex]\frac{1}{3}[/tex] x [tex]\frac{22}{7}[/tex] x 1.25² = 2.47 cm
To learn more about the volume of a cone, please check: https://brainly.com/question/1315822
Nick is going to roast some marshmallows over a campfire tonight. Nick buys 4 bags of marshmallows. Each bag costs $3. Nick also buys a $2 lighter
Answers
Answer: 14
Step-by-step explanation: I solved the equation
Answer:
14 dollars
Step-by-step explanation:
What are the solutions to the equation ( 5 x − 15 ) 2 = − 100 ?
Answers
Answer:
x = -7
Step-by-step explanation:
( 5 x − 15 ) 2 = − 100
10x - 30 = - 100
10x = -70
x = -7
Answer:
x = -7
Step-by-step explanation:
[tex]\left(5x-15\right)\cdot \:2=-100\\\\\frac{\left(5x-15\right)\cdot \:2}{2}=\frac{-100}{2}\\5x-15=-50\\5x-15+15=-50+15\\5x=-35\\\\\frac{5x}{5}=\frac{-35}{5}\\\\x=-7[/tex]
PLEASE HELP ME WILL GIVE BRAINLIEST FOR RIGHT ANSWER
Answers
Answer:
Step-by-step explanation:
I dont really know how to find out the variables but what i assume to do is this:
Find the square root of n and add it to m. The sum of both you divide by p. then when you figure that out, you distribute the x value into the parenthesis. This might be obvious but i looked at this question for 10 minutes and couldnt find the value sorry :(
m = 11
n = 145
p = -4
As you substitute the equation -2x^2 – 11x + 3 = 0 (from factorising x(-2x-11) = -3) into the quadratic formula to find the values of m, n and p.
Ms. Rowlen went Black Friday shopping and she bought a flat screen TV that originally costs $259.00. She used her super savings coupon of 45%, how much did Ms. Rowlen pay for the tv?
Answers
Answer:
142.55
Step-by-step explanation:
What is the value of b in centimters?
Answers
I estimate about 27 cm
have a nice dayyyy
I need help with something in school.
Answers
Answer:
what do you need help with
Step-by-step explanation:
:)
Answer:
ask......
Step-by-step explanation:
Charles is a real estate agent. He earns 3% commission on every house he sells. He just sold a house for $20,000. What is the commission he earns for selling this house?
Answers
Answer: 600
Step-by-step explanation:
Hope this helps!
Helpppppppppp plssssssssss
Answers
Answer:
12 in.
Step-by-step explanation:
We already know that the bottom line all together is 19 inches, and the line for the top of the square box at the end is also 7in. We can then infer that the top line of 7 cm is the same as the bottom line, so we therefore do 19 - 7 which equals to 12. Hope this helps.
The LCM of 2, 3, and 4 is _____. 24 12 6
Answers
Answer: the answer is 12
Step-by-step explanation: trust me
The LCM of 2,3, and 4 is 12.
What is LCM?The smallest number that can be divided by both numbers is known as the least common multiple (LCM) of two numbers.
The given numbers are 2,3 and 4.
The LCM of 2,3, and 4 is the lowest number that can be divisible by 2,3, and 4.
The lowest number that can be divisible by 2,3 and 4 is 12.
Therefore, the LCM of 2,3, and 4 is 12.
Learn more about LCM:
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Rewrite the fraction 2/7 as a division expression with the same numbers.
Answers
Answer:
EZ. Btw you kinda already did it. 2/7 is a division problem. Another way is 2 divided by 7
Step-by-step explanation:
please help! here’s the question thank you !
Answers
Answer: They just needed to do process of eliminaion. :I
Step-by-step explanation:
what is the 60th term of the sequence 2, -3, -8, -13?
Answers
Answer:
-293
Step-by-step explanation:
The first term of the arithmetic sequence is a1 = 2. The common difference is d = -3-2 = -5. The general term is ...
an = a1 +d(n -1)
an = 2 -5(n -1)
The 60th term is ...
a60 = 2 -5(60 -1) = -293
100 points and only highly intelligent persons are qualified
What is the equation for finding the value of √x. I need to be able to put x into the equation and result in the square root.
Answers
You can solve it by using this steps
Step-by-step explanation:
Isolate the radical on one side of the equation.Square both sides of the equation.Solve the new equation.Check the answer. Some solutions obtained may not work in the original equation.
Answer:
It's probably 12
Step-by-step explanation:
100+100=200
200+100=300 divided by 10 is 12
What has a slope of -1/2 and an x intercept of -8
Answers
Answer:
y=(-1/2)(x)-8
Step-by-step explanation:
Since they give the slope and y intercept, you can literally plug it into the equation:
y=mx+b
where m is slope and b is y interecept.
Therefore, we get
y=(-1/2)(x)-8
On New Year’s Day 2021, your uncle put $3 dollars in his safe for you that he says will grow exponentially until you decide to take it out. If you take the money out on New Year’s Day 2023, the money will have grown to $18.75. You decide that you will ask for the money on New Year’s Day 2031. How much money will you receive then?
Answers
if 18.75 - 3 = 15.75
if every 2 years you get 15.75
if from 2023 to 2031 is 8 years
then 8 divided by 2 = 4
so 15.75 * 4 = 63
then the answer is 63
what is the answer for this question 7(x+4)-7=48-2x
Answers
Answer:
3
Step-by-step explanation:
Expand
7x+28-7 = 48-2x
Simplify
7x+ 21 = 48-2x
Solve
Take 21 away from both sides
7x = 27-2x
Add 2x to both sides
9x = 27
Divide by 9 to find x
x = 3
Tanaka says "When you multiply an odd number and an even number together, you will
always get an odd number'.
Show that Tanaka is wrong.
Answers
Answer: Tanaka is wrong becausee...
2 x 3 = 6
Since Tanaka said "When you multiply an odd number and an even number together, you will always get an odd number." we do not need to show more examples.
Hope this helps :)
88800 divided by 10 to the second power explanation of change in digits
Answers
Answer:
4440
Step-by-step explanation:
easy. 10 to the 2nd power is 20 so whats 88800 divided by 20? To find out you use a calculator like i did :). Or you can count by 20's. either way you'll get 4440.
The 6th term of the geometric sequence is 1/128. The common ratio is 1/2. Find the 9th term of the sequence
1/128
1/256
1/512
1/1024
Answers
Answer:
it's the 4th one
Step-by-step explanation:
A, the one you mentioned
B, the 7th
C, the 8th
D is your answer
Channing jogs 10 miles a week. How many miles will she jog in 57 weeks?
Answers
Answer:
Simple! Multiply 57 by 10...
The answer is 570 miles in 57 weeks!
Answer:
570 miles per 57 weeks
Step-by-step explanation:
set a proportion;
10 miles x miles
----------- = ------------
1 week 57 weeks
57/1 = 57
10 x 57 = 570
x = 570
can someone help me answer this
Answers
[tex]32^{-\tfrac 25}\\\\=(2^5)^{-\tfrac 25}\\\\=2^{-2}\\\\=\dfrac 1{2^2}\\\\=\dfrac 14[/tex]
is this a dilation of 1/2 or a dilation of 2
Answers
Answer:
The dilation is 2 because triangle K'L'P' is 2x bigger than triangle KLP
Ryan, Alec and Amani went to ShopRite to buy boxes of fruit. Ryan bought 2 boxes of strawberries, 1 box of apples, and 4 boxes of blueberries for $34. Alec bought 3 boxes of strawberries, 2 boxes of apples, and 2 boxes of blueberries for $35. Amani bought 5 boxes of strawberries, 3 boxes of apples, and 2 boxes of blueberries for $49. How much does an individual box of strawberries, apples, and blueberries cost?
Answers
Answer:
5.
Step-by-step explanation:
First, we need to add all the number of baskets Ryan bought first. The equation should look something like this;
34÷(2+1+3)
Our answer is 4.8571428571. However, to put it in simplest terms, we can just say 4.85.
Now, we just keep changing up the numbers but with the same division we were using for Ryan's price on the fruit.
Alec's: 35÷(3+2+2)=5
Amani's: 49÷(5+3+2)=4.9
Notice how all the answers we get answers related to 5. If we all round the numbers, we actually get 5!
So, I believe your answer is 5. I'm terribly sorry if I'm incorrect. (If I am, I will try to fix it in the comments for you)