Answers
Answer:
2√6
Step-by-step explanation:
1. First, let's solve for the base of the triangle with the help of the Pythagorean Theorem (a^2 + b^2 = c^2).
[tex]5^2 + b^2 = 7^2[/tex] [tex]25 + b^2 = 49[/tex] [tex]b^2=24[/tex] [tex]b = \sqrt{24}[/tex]2. Now, let's find the factors of 24 and see which one is a perfect square:
1, 2, 3, 4, 6, 8, 12, 24As you can see, the factor that's a perfect square is 4, so in order for it to multiply to 24, the other one has to be 6. [tex]\sqrt{24} = \sqrt{4} * \sqrt{6} = 2\sqrt{6}[/tex]Therefore, the answer is 2√6.
Answer:
[tex]b=2\sqrt{6}[/tex]
Step-by-step explanation:
The triangle shown is a right triangle.
Because this triangle is a right triangle, we can use they Pythagorean theorem to find the missing side length.
Pythagorean theorem : [tex]a^2+b^2=c^2[/tex]
where a and b = length of legs and c = hypotenuse ( longest side )
we have the hypotenuse ( 7 ) and a leg (5) and need to find the other leg.
So we know that a = 5 and c = 7 and we need to find b
Using the Pythagorean theorem:
[tex]a^2+b^2=c^2[/tex]
a = 5 and c = 7
[tex](5)^2+b^2=(7)^2[/tex]
simplify exponents 5² = 25 and 7² = 49
[tex]25+b^2=49[/tex]
subtract 25 from both sides
[tex]b^2=24[/tex]
take the square root of both sides
[tex]b=\sqrt{24}[/tex]
simplify radical
[tex]b=2\sqrt{6}[/tex]
And we are done!
Related Questions
Calculate if possible
Answers
Answer:
25/4
Step-by-step explanation:
7 can also be 7/1. Now you have 7/1-3/4. Multiply the denomiator to make them the same so you can subtract. 1*4=4 and 7*4= 28. Now you have 28/4-3/4. Subtract the numerators. 28-3=25. Your answer is 25/4. (6.25 if you need it in decimal form)
convert 14 in base 10 into base 5
Answers
Since
14 = 10 + 4 = 2×5 + 4×1 = 2×5¹ + 4×5⁰,
we have
14₁₀ = 24₅
Find the LCM of 14 and 18 using prime factorizations.
Answers
Answer:
126
Step-by-step explanation:
14 = 2 * 7
18 = 2 * 3 * 3
Take any factors they both have and use that number only once (2)
Then multiply together: 2 * 7 * 3 * 3 = 126
Holly has a credit limit of $2,500 on her credit card. She had a previous balance of $103.23
and made a $100 payment. The total of her purchases is $45.34. What is her available
credit?
Answers
Step-by-step explanation:
$103.23
$100
$45.34
+_____
=248.57
solve pls braniliest
Answers
Explanation: because it says "made" not "making"
Answer:
Past tense
Step-by-step explanation:
The verb ("made") is in the past tense.
Hope this helps :)
Joe paid $345 for a vase. He sold it at a profit of 180% of cost price. Find the selling price of the vase?
Answers
Answer:
966
Step-by-step explanation:
180% is written as 1.80 as a decimal. You can multiply this by 345 to get the profit he made, and to find the total selling price, add the profit (1.80x345) to the original price (345)
Write 2^40 as a power with the following base
a) 2^2
b)2^5
c)2^8
d)2^10
Answers
Answer:
2^2×20
Step-by-step explanation:
2^2×20
because 2×20=40
so, 2^2×20=2^40
The Following are the representation of [tex]2^{40[/tex] as a power in different bases
a) [tex]2^{ 2 * 20}[/tex]
b) [tex]2^{ 5 * 8}[/tex]
c) [tex]2^{ 8 * 5}[/tex]
d) [tex]2^{ 10 * 2}[/tex]
What are Exponents and power?Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion.
For example, if we have to show 3 x 3 x 3 x 3 in a simple way, then we can write it as [tex]3^4[/tex], where 4 is the exponent and 3 is the base.
Given:
[tex]2^{40[/tex] as a power
so, writing the above in given bases
a) 2²
= [tex]2^{ 2 * 20}[/tex]
= [tex]2^{40[/tex]
b)[tex]2^5[/tex]
= [tex]2^{ 5 * 8}[/tex]
= [tex]2^{40[/tex]
c) [tex]2^8[/tex]
= [tex]2^{ 8 * 5}[/tex]
= [tex]2^{40[/tex]
d) [tex]2^{10[/tex]
= [tex]2^{ 10 * 2}[/tex]
= [tex]2^{40[/tex]
Learn more about exponents and power here:
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#SPJ2
Find the Product of (s^2+5s)(s^3+4s^2).
Answers
The result of the product [tex](s^2+5s)(s^3+4s^2)[/tex] is [tex]s^5+9s^4+20s^3[/tex]
The product is given as:
[tex](s^2+5s)(s^3+4s^2)[/tex]
Rewrite as:
[tex](s^2+5s)(s^3+4s^2) = (s^2+5s) \times (s^3+4s^2)[/tex]
Expand the expression on the right-hand side
[tex](s^2+5s)(s^3+4s^2) = s^2\times (s^3+4s^2)+5s \times (s^3+4s^2)[/tex]
Distribute the expressions
[tex](s^2+5s)(s^3+4s^2) = s^5+4s^4+5s^4+20s^3[/tex]
Evaluate like terms
[tex](s^2+5s)(s^3+4s^2) = s^5+9s^4+20s^3[/tex]
Hence, the result of the product [tex](s^2+5s)(s^3+4s^2)[/tex] is [tex]s^5+9s^4+20s^3[/tex]
Read more about products at:
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phythagorean theorum please help
Answers
Answer:
14
Step-by-step explanation:
so the hypotenuse for both triangles is 19.use Pythagoras theorem to get the base of both triangles as 8.5cm each.add the two bases and get 17.minus 17 from 31 to get 14cm as the remaining part
The cost to rent a car from Rent a Wreck is $15 a day plus a $30 deposit. The cost to
rent a car from Barely Running is $20 a day. How many days would you have to rent the
car for the cost of both companies to be the same?
Answers
Answer:
Step-by-step explanation:
Consider the right triangle below. Solve for x. Label the sides in the image as opposite, adjacent, or hypotenuse, then show your work on the sketchpad.
Answers
Answer: 11.9
Step-by-step explanation:
The opposite is across from the 35 degree angle and the ajacent is the side valued at 17.
Answer:
A. 11.9
Step-by-step explanation:
35° = opposite/adjacent
tan(35°) = x/17
tan(35) x 17 = 11.90352814
x = 11.90352814
x = 11.9
someone please help me
Answers
Given info:- In ∆ABC, right-angled at c in which AB = 10in, BC = 26 in and we have to find out the measure of AC = ?
Explanation:
In right angled ∆OCB, AC ⟂ CB,
AB² = AC²+CB²
[By Pythagoras theorem]
(10)² = AC²+(26)²
10*10 = AC²+(26*26)
100 = AC²+676
AC² = 676-100
AC² = 576
AC = √(576)
AC = 24 in.
Hence, the measure of right-agled in which AC is 24 in.
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In a right triangle angle C measures 40 degrees. The hypotenuse of the triangle is 10in long. What is the approximate length of the side adjacent to angle C?....
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An online retailer allows customers to rate items on a scale from −5 to 5. An item receives the scores −1.75, −1, 4.25, 3.75, 1, −4.75, and 2. Find the mean score. Write your answer as a decimal.
Answers
Answer:
mean = 0.5
Step-by-step explanation:
The mean of a set of data is calculated as
mean = [tex]\frac{sum}{count}[/tex]
= [tex]\frac{-1.75-1+4.25+3.75+1-4.75+2}{7}[/tex]
= [tex]\frac{3.5}{7}[/tex]
= 0.5
PLEASE ANSWER!!!!!!!!!! I'LL GIVE BRAIN !!!!!!!!!!!!!!!!!!!!!! A _______ is a ratio that compares two things with different units of measurement.
rate
coordinate
cross
unit
Answers
Answer:
RATE
Step-by-step explanation:
Answer:
A. Rate
Step-by-step explanation:
A rate is an example of comparing two different units of measure. For example, miles per hour is a rate because it compares miles, which is a unit of distance, to hours, which is a unit of time.
Hope this helps.
what is the slope of the line?
Answers
The slope of the line is -(1/2)
Data were collected regarding the prices plumbers charge for their services in a certain
area. Most of their charges include a flat fee and then an hourly charge. Based on the
data gathered, the amount, A, a plumber charges for t hours of work can be modeled
by the equation A = 50 + 80t. Which statement is correct?
Answers
Using the linear function, it is found that the correct option is given by:
On average, plumbers in the city charge a flat fee of $50, and $80 for each hour they work.Linear functions modeling a cost have the following format:
[tex]C(t) = C(0) + at[/tex]
In which:
C(0) is the flat fee.a is the cost per unit of time.In this problem, the cost for t hours of work is modeled by:
[tex]C(t) = 50 + 80t[/tex]
Which means that the correct statement is:
On average, plumbers in the city charge a flat fee of $50, and $80 for each hour they work.To learn more about linear functions, you can take a look at https://brainly.com/question/16302622
If EC $2.50 is equivalent to US $1.00, then EC $20.00 in Us dollars is
Answers
Answer:
22.54$
Step-by-step explanation:
There is a calculator for this
Answer:
EC$20.00 is equivalent to $7.40 US dollars
Step-by-step explanation:
Need help with this question brainliest for correct answer
Answers
Answer:
[tex]\huge\boxed{y=\dfrac{4}{3}x-1}[/tex]
Step-by-step explanation:
Let
[tex]k:y=m_1x+b_1\\l:y=m_2x+b_2[/tex]
then
[tex]k\perp l\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\k\ ||\ l\iff m_1=m_2[/tex]
==========================================
We have:
[tex]y=-\dfrac{3}{4}x-3\to m_1=-\dfrac{3}{4}[/tex]
Let
[tex]y=m_2x+b_2[/tex]
Therefore
[tex]m_2=-\dfrac{1}{-\frac{3}{4}}=\dfrac{4}{3}\Rightarrow y=\dfrac{4}{3}x+b_2[/tex]
Substitute
[tex](0,\ -1)\to x=0;\ y=-1[/tex]
[tex]-1=\dfrac{4}{3}\cdot0+b_2\\\\b_2=-1[/tex]
Find the circumference of a circle with a radius of 3/4 km
Answers
Answer:
3/2pi or 0.47746
Step-by-step explanation:
The ormula for circumference is:
Circumference = 2*pi*radius
Then substitute radius = 3/4km
Circumfrence = 2*pi*(3/4)km = 3/2pi or 0.47746
[ALGEBRA 2 POLYNOMIAL DIVISION/REMAINDER THEOREM]
Help!!! I'm desperate to find the answer, will give brainliest to first person that answers the question in the photo!
Answers
Answer:
k = -4
Step-by-step explanation:
The remainder theorem tells you that the remainder from division f(x)/(x -k) is f(k). You want the value of k such that ...
f(k) = -15
Looking on the given graph, you find that k must be -4. That is, ...
f(-4) = -15
k = -4
_____
The divisor with k=-4 is (x -(-4)) = (x +4). The second attachment shows the division of f(x) by (x+4). The remainder is shown on the bottom line.
Answer to this ?……..
Answers
If you filled out the chart fully:
a = 4
b = 7
c = 6
d = 9
e = 17
Based on the chart, their 7 girls and 10 boys. In this case, it is a better chance of selecting a boy which ratio is:
7:10
There is a greater chance of picking a boy than a girl where there is three more boys than girls.
I am on my knees begging for help i will mark brainlist please hear my cries
Part A: Which of the following pairs of coordinates would represent the missing values in the table?
options:
(3, $2560) & (4, $2048)
(3, $640) & (4, $128)
(3, $2560) & (4, $512)
(3, $640) & (4, $512)
Question 6 (4 points)
Part B: Write an equation that can be used to find the value of the piano, v, after t years
Answers
Answer:
Part A would be: 3, $2560 & 4, 2048 I am pretty sure
Step-by-step explanation:
20% of 3,200 = 640
3,200-640= 2,560
then
20% of 2,560 = 512
2,560-512 = 2,048
hope this helps! :)
Part A: The first answer is correct, or (3, $2560) & (4, $2048)
Part B: V = 5,000(0.8)^t
5000 is the original price, 0.8 shows the value going down 20%, and t shows how many years.
Hope this helps!
Which table represent a linear function
Answers
The linear function must be represented in the form y = mx + b, where y and x are variables.
A linear function is in the form:
y = mx + b
where y, x are variables, m is the rate of change and b is the y intercept
From the table, the linear function must be represented in the form y = mx + b, where y and x are variables.
Find out more on linear function at: https://brainly.com/question/4025726
Evaluate -5.8-3.1x0.5
Answers
Answer:
7.35Step-by-step explanation:
Using DMAS, let's solve.
=> -5.8 - 3.1 x 0.5 (Multiplication)=> -5.8 - 1.55 (Subtraction)=> -7.35 (Solved)Conclusion:
Therefore, the answer is:
7.35Hoped this helped.
[tex]GeniusUser[/tex]
1 lb = 0.45 kg
How many pounds are in 90.9 kilograms?
Answers
Answer:
200.4002 pounds
Step-by-step explanation:
Answer:
The answer is 200.4002
If you have to round to the nearest thousandth then it is 200.400
If you have to round to the nearest hundredth then it is 200.40
If you have to round to the nearest tenth then it is 200.4
If Uber charges $12 for a ride plus $2 per mile, write an equation for the cost (where x is the miles)
Answers
Answer:
12 + 2x = y
Step-by-step explanation:
y would be the total cost
Answer:
$12 + $2 × x
Step-by-step explanation:
yall i need help asap! its due in 1hr!!
Answers
[tex] \frac{7}{20} \times 100 = \\ [/tex]
[tex] \frac{20 \times 5 \times 7}{20} = \\ [/tex]
[tex]5 \times 7[/tex]
[tex] 35 \: \: percent[/tex]
_____________________________________________
Suppose that number is x thus twice a number means :
[tex]2 \times x[/tex]
Plus 6 :
[tex]2x + 6[/tex]
Gives a result 28 :
[tex]2x + 6 = 28[/tex]
_____________________________________________
Have a great day ♡
A Local restaurant offers burgers with a choice of the following toppings: cheese, lettuce, tomato, pickle, onion, jalapeños, avocado, relish, ketchup, mustard and mayonnaise. How many different 3 topping burgers can be made with these toppings?
Answers
GD DAY AND NIGHT EMMANUEL MUDIAY
Which set of ordered pairs represents a function?
{(2, –2), (1, 5), (–2, 2), (1, –3), (8, –1)}
{(3, –1), (7, 1), (–6, –1), (9, 1), (2, –1)}
{(6, 8), (5, 2), (–2, –5), (1, –3), (–2, 9)}
{(–3, 1), (6, 3), (–3, 2), (–3, –3), (1, –1)}
Answers
Answer: {(2,-2), (1,5), (-2,2), (1,-3), (8,-1)}, and {(3,-1), (7,1), (-6,-1), (9,1), (2,-1)
Step-by-step explanation: In order for a given relation to be a function, there can only be 1 x-value that can repeat. The y-values on the other hand can repeat an infinite amount of times. In the last 2 relations, you have (-2,-5), (-2,9) and (-3,1), (-3,2), and (-3,-3). You can also graph these relations and do a vertical line test with your pencil drawing a straight line downward and you'll notice that you will touch the graph more than 1 time. The first 2 relations if you were to graph them and do a vertical line test by using a pencil or pen, you'll notice that you will touch the graph once which shows you that you have a relation that is indeed a function.
Hope this explanation helps.
Answer:
{(3, –1), (7, 1), (–6, –1), (9, 1), (2, –1)}
Can someone please help me .....
Answers
Answer:
y-6=3/5(x-6)
Step-by-step explanation: