Answers
Notice they are all right triangles. You will need Pythagorean theorem, which is a² + b² = c²
If you write down all the "equations" you can find, it is the following:
y² + 4² = x²
5² + y² = z²
x² + z² = 9²
Substitute them into one equation:
y² = x² - 4²
z² = 5² + (x² - 4²) Notice that the y² is replaced with what you found above
x² + (5² + x² - 4²) = 9² Notice that the z² is replaced with what's above
Now that it is just one line with one variable, you should be able to find value of x easily.
The answer is 6 if my calculations are correct.
Related Questions
Question in the pic, please explain your answer
Answers
The statement translated to an algebra equation will give the value of the unknown number w = 11/5
What is algebra?Algebra is the branch of mathematics that helps to represent problems or values in the form of mathematical expressions using letters to represent unknown values.
Let us represent the unknown number with the letter w so that the statement can be written as the equation:
5w - 8 = 3
add 8 to both sides
5w - 8 + 8 = 3 + 8
5w = 11
divide through by 5
5w/5 = 11/5
w = 11/5
Therefore, the statement translated to an algebra equation will give the value of the unknown number w = 11/5
Read more about algebra here: https://brainly.com/question/4344214
#SPJ1
2,400/12 = and pls put how to sovle it
Answers
Answer:
The answer is 200
How I solved it is that go to a calculator and type in 2400 / 12
Answer:
200
Step-by-step explanation:
The first step is pretend the zeroes aren't there and divide 24/12. Your answer to this is 2. Add the two zeroes from before to the end to get 200.
This trick works for all division problems that go in evenly without a remainder.
Hope it helps!
find the period of y = 2 sin 0-3
Answers
Answer:
2π
Step-by-step explanation:
Given :-
y = 2 sinθ - 3And we need to find out the period of it . Now using the form ,
\(:\implies\) y = a sin ( bx - c ) + d
On comparing we have ,
a = 2b = 1c = 0d = -3We can find the period using formula ,
\(:\implies\) Period = 2π/ |b|
\(:\implies\) Period = 2π/|1|
\(:\implies\) Period = 2π
Hence the period is 2π .
How are commercial banks are funded?
Answers
Answer:
Commercial banks are funded through Customer deposits as well as with the fees charged against their services provided to customers. The Banks provide many services like funding to customers and many form loans, they also deposit their money.
Step-by-step explanation:
this is the correct answer happy
Answer:
CUSTOMER DEPOSITS
Step-by-step explanation:
CORRECT VIA EDMENTUM 2022
there are 365 days in a year, 24 hours per day, 12 months per year, and 60 minutes per hour. use these data to determine how many minuytes are in a month
Answers
A month has 43,800 minutes, according to the information given.
Multiplication is what?Multiplication in the context of integers or counting numbers is just repeated addition. Consequently, 3 x 5 equals:
5 is added to 0 and placed in the "accumulator."
For a total of three times, repeat operation (1).
As a/b times c/d = ac/bd, we can simply extend multiplication to rational integers. By the way, this definition enables us to say that multiplication is closed for rational numbers.
What distinguishes addition from multiplication?
Concentrating on the words "sum" and "product" in relation to "things that aren't numbers" is still beneficial. In logic, the terms "sum" and "product" have a non-numerical sense as the union and intersection of sets.
For instance, a "blue circle" is a reasonable outcome. It is where the "blue" and "circle" sets cross. The only components in the logical combination of the two sets would be those that are "blue" or "circular."
The no: of minutes in a month is 30*24*60=43200 minutes in a month
To learn more about multiplication visit:
brainly.com/question/5992872
#SPJ4
TThe Education Trust publishes data on U.S. colleges and universities. Six-year graduation rates and student-related expenditures per full-time student for 2007 were reported for the seven primarily undergraduate public universities in California with enrollments between 10,000 and 20,000. Suppose that a 90% confidence interval for the prediction of student expenditures at a university with a graduation rate of 40% was (5,304, 8,686).
Required:
a. Determine the point estimate for the prediction of student expenditures at a university with a graduation rate of 40%.
b. Calculate the margin of error.
c. Calculate the standard error of the prediction of student expenditures at a university with a graduation rate of 40%.
Answers
Answer:
a) The point estimate is 6995.
b) The margin of error is of 1691.
c) The standard error is of 1000
Step-by-step explanation:
a. Determine the point estimate for the prediction of student expenditures at a university with a graduation rate of 40%.
The point estimate is the mean of the two bounds of the confidence interval. So
\(P = \frac{5304 + 8686}{2} = 6955\)
The point estimate is 6995.
b. Calculate the margin of error.
The margin of error is the difference between the bounds and the point estimate. So
M = 8686 - 6995 = 6995 - 5304 = 1691
The margin of error is of 1691.
c. Calculate the standard error of the prediction of student expenditures at a university with a graduation rate of 40%.
Now I have to expand a bit into the confidence interval.
We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:
\(\alpha = \frac{1 - 0.9}{2} = 0.05\)
Now, we have to find z in the Ztable as such z has a pvalue of \(1 - \alpha\).
That is z with a pvalue of \(1 - 0.05 = 0.95\), so Z = 1.645.
The margin of error is:
\(M = zs\)
In which s is the margin of error.
We have that M = 1691. So
\(M = zs\)
\(s = \frac{M}{z} = \frac{1645}{1.645} = 1000\)
The standard error is of 1000
100 pts and brainiest for the right answer
A skateboard halfpipe is being designed for a competition. The halfpipe will be in the shape of a parabola and will be positioned above the ground such that its focus is 20 ft above the ground. Using the ground as the x-axis, where should the base of the halfpipe be positioned? Which equation best describes the equation of the halfpipe?
(0, 20); y equals one over eighty times x squared plus 20
(0, 20); y equals one over eighty times x squared minus 20
(0, 10); y equals one over forty times x squared plus 10
(0, 10); y equals one over forty times x squared minus 10
Answers
Answer:
Option A , (0, 20); y equals one over eighty times x squared plus 20
Step-by-step explanation:
The equation of parabola is given by
(X-h)^2 = 4p(Y-k)^2
In this case h = 0
So we get
Y = X^2/4P +k
Focus point is (h, p+k) , p+k = 40
Hence h, k = (0,20)
P = 40-k = 20
Equation Y = X^2/80 +20
Hence, option A is correct
plz mark brainliest
Answer: A
Step-by-step explanation:
I GIVE BRAINLIEST!!
Look at the photo attached and answer!
Answers
Answer:
a, and b are your answers
explanation: plug them in
The scatter plot shows a regression line of advertising dollars spent and sales. If the company were to spend $6,500 on advertising, what would be the predicted sales?
A) $110,000
B) $114,000
C) $118,000
D) $122,000
HELPPP PLEASE IM GIVING OUT BRAINLIEST
Answers
Answer:
C
Step-by-step explanation:
Find the slope of this problem
Answers
Answer:
1/9 rise 1 run 9
Step-by-step explanation:
if you graph the y coordinate as 3 and find the x value, x value should be 0. Point (0,3) and (-9,2) and do rise over run
A bag contains 10 green,8 blue, and 2 white balls. Naomi seclets 2 balls from the bag at random, one at a time, without replacing them. What is the probability that she selects all two white balls?
E.) 2/95
F.) 1/95
G.) 1/190
H.) 1/380
Answers
To find the probability that Naomi selects both white balls, we need to consider the total number of possible outcomes and the number of favorable outcomes.
Total number of outcomes:
Naomi selects 2 balls without replacement, so the total number of outcomes is the number of ways she can choose 2 balls out of the total number of balls in the bag. This can be calculated using combinations:
Total outcomes = C(20, 2) = (20!)/(2!(20-2)!) = (20 * 19)/(2 * 1) = 190
Number of favorable outcomes:
Naomi needs to select 2 white balls. There are 2 white balls in the bag, so the number of favorable outcomes is the number of ways she can choose 2 white balls out of the 2 white balls in the bag:
Favorable outcomes = C(2, 2) = 1
Probability = Favorable outcomes / Total outcomes = 1/190
Therefore, the correct answer is (G) 1/190.
The average rainfall amounts for two of the world's wettest places are given. Determine which location has the greater average rainfall and by how many inches. Round
to the nearest inch
Kukui (Hawaii): 9,293 millimeters and Melchior (Antartic Peninsula): 47 inches
Click the icon to view a table of English and Metric Equivalents.
Answers
Answer: Kukui (Hawaii) has the greater average rainfall than Melchior (Antarctic Peninsula) by 8,099.2 millimetres.
Step-by-step explanation:
Given: The average rainfall amounts for two of the world's wettest places:
Kukui (Hawaii): 9,293 millimetres
Melchior (Antarctic Peninsula): 47 inches
Since 1 inch = 25.4 millimetres
∴ 47 inches = 47 × 25.4 millimetres
= 1193.8 millimetres
i.e. Melchior (Antarctic Peninsula) has 1193.8 millimetres of average rainfall.
Clearly, 9,293 millimetres> 1193.8 millimetres
So, Kukui (Hawaii) has the greater average rainfall .
Difference = 9293 - 1193.8 = 8099.2 millimetres
So Kukui (Hawaii) has the greater average rainfall than Melchior (Antarctic Peninsula) by 8,099.2 millimetres.
if f(x)=5x-7,what isf(3)?
Answers
Answer:
Explanation:
f ( − 3 ) basically means substitute − 3 for x in the function − 5 x
f
(
−
3
)
=
−
5
(
−
3
)
−
7
f
(
−
3
)
=
15
−
7
f
(
−
3
)
=8
Step-by-step explanation:
The moon has a radius of 1738 km. Find the surface area to the nearest tenth. Use 3.14 for pie
Answers
Answer:
surface area = 4πr² = 4(3.14)(1738²) = ? (something like 37, 939,290 km²)
My calculator will not go that high
Step-by-step explanation:
surface area = 4πr² = 4(3.14)(1738²) =
Does each pair of expressions form an equation when joined with an equals sign?
Select Yes or No for each pair of expressions.
Expressions Yes No
(15)2+1 and 2⋅1225
Yes – 1 5 2 +1 and 2⋅ 12 25
No – 1 5 2 +1 and 2⋅ 12 25
(1+14)2 and 2−716
Yes – 1+ 1 4 2 and 2− 7 16
No – 1+ 1 4 2 and 2− 7 16
NEED HELP ASAP GIVING BRAINLIEST
Answers
Answer:
yes
Step-by-step explanation: I
go to k 12.
Five times the sum of a number and 7 is 3 more than the double of a number. Find the number.
Show all work.
Please I will make you BARINLIEST!
Answers
Step-by-step explanation:
5 = x + 3. The product of 2 times a number is 10. 2x = 10. One half a number is 10 x/2 = 10. Five times the sum of x and 2 5(x + 2). Seven is greater than x.
Answer:
35
Step-by-step explanation:
This is how you can solve for the missing number that is doubled: ( x )
7 = 3 + 2x
7 ( -3 ) = 3 ( -3 ) + 2x
4 = 2x
4 ( /2 ) = 2x ( /2 )
2 = x
This is how you solve for the number the question is asking for: ( y )
y = 5 ( 3 + 2x )
y = 5 ( 3 + 2 ( *2 ))
y = 5 ( 3 + 4 )
y = 5 ( 7 )
y = 5 * 7
y = 35
(RATIO QUESTION) Apple crumble is made using the following ingredients.
Serves 8 people
700 g apple
250 g sugar
180g flour
40g butter
c) Sienna has 500g of apples and plenty of the other ingredients.
Can she make apple crumble for 6 people? Yes/No
Explain how you got your answer.
Answers
a) He needs 500 g of sugar to make apple crumble for 16 people.
b) She needs 45 g of flour to make apple crumble for 2 people.
c) 500g of apples is enough to make apple crumble for 6 people.
How to obtain the amounts?The amounts for this problem are obtained according to the proportions given in the problem.
For 8 people, the amount of sugar needed is of 250 g. For 16 people, the number of people doubles, hence the amount of sugar needed will also double, as follows:
2 x 250 = 500 g.
For 2 people, the amount of each item is divided by 4, hence the amount of flour needed is given as follows:
180/4 = 45 g.
The amount of apple needed per people is of:
700/8 = 87.5 grams.
For 6 people, the amount is given as follows:
6 x 87.5 = 525 grams.
Hence 500g of apples is enough to make apple crumble for 6 people.
More can be learned about proportions at https://brainly.com/question/24372153
#SPJ1
Determine the level of measurement of the variable. the medal received (gold, silver, bronze) by an Olympic gymnast
Answers
Answer:
The medal received by an Olympic gymnast has a nominal level of measurement.
Step-by-step explanation:
The variable, X can be described as the type of medal received by an Olympic gymnast.
The values that X can take are: gold, silver and bronze.
The variable X is a qualitative variable, since it describes the different categories of winning a medal.
There are two types of qualitative variable level of measurement:
NominalOrdinalIn case of nominal level of measurement, words, letters, and alpha-numeric symbols are used to denote the category. For instance, the data about individuals belonging to three different gender categories, the data about individual’s different eye color.
Thus, the medal received by an Olympic gymnast has a nominal level of measurement.
find the coordinates of p so that p partitions segment ab in the part-to-whole ratio of 1 to 5 with a(-9, 3) and b(1, 8)
Answers
The coordinates of p so that p partitions segment ab in the part-to-whole ratio of 1 to 5 with a(-9, 3) and b(1, 8) is (-44/6, 23/6).
To find the coordinates of point P, we can use the following formula:
P = ( (5 x Ax + 1 x Bx) / 6 , (5 x Ay + 1 x By) / 6 )
Here, Ax and Ay are the x and y coordinates of point A, and Bx and By are the x and y coordinates of point B. By plugging in the values we have, we get:
P = ( (5 x (-9) + 1 x 1) / 6 , (5 x 3 + 1 x 8) / 6 )
P = ( (-45 + 1) / 6 , (15 + 8) / 6 )
P = ( -44/6 , 23/6 )
So the coordinates of point P are (-44/6, 23/6).
To check if we got the right answer, we can measure the distance between A and P and the distance between P and B, and make sure that the ratio is indeed 1 to 5. We can use the distance formula for this:
Distance between A and P:
√( (-9 - (-44/6))² + (3 - 23/6)² )
= √( (35/6)² + (5/6)² )
= √( 1225/36 + 25/36 )
= √( 1250/36 )
= 5/6 x √(50)
Distance between P and B:
√( (1 - (-44/6))² + (8 - 23/6)² )
= √( (55/6)² + (41/6)² )
= √( 3025/36 + 1681/36 )
= √( 4706/36 )
= 5/6 x √(94)
The ratio of the distance between A and P to the distance between P and B is:
(5/6 x √(50)) / (5/6 x √(94)) = √(50/94)
Simplifying this gives us:
√(50/94) = √(25/47)
The ratio of the distances is indeed 1 to 5, which confirms that our answer for the coordinates of P is correct.
To know more about coordinates here
https://brainly.com/question/27749090
#SPJ4
Please help
A can holds 345 milliliters of orange juice. How many liters of orange juice is
this?
Metric Units of Capacity
1,000 milliliters (ml) = 1 liter (L)
100 centiliters (CL) 1 liter
10 deciliters (dL) = 1 liter
1 dekaliter (dal) = 10 liters
1 hectoliter (L) = 100 liters
1 kiloliter (KL) = 1,000 liters
Answers
Answer:
0.345 L
Step-by-step explanation:
so we know that 1L = 1000 mL
now we have 345 mL so it equals 0.345 L
Divide using synthetic division. Write the answer as a polynomial x^3+7x^2+3x-11=0; (x-1)
Answers
Synthetic Division
We are given the polynomial
\(x^3+7x^2+3x-11\)It's required to divide it by x-1 using synthetic division. It's also known as the Ruffini method.
To apply the synthetic division, we only take the coefficients of the polynomial: 1, 7, 3, -11
And fill up a row with them. To divide it by x-1, we use the value x=1 and start the procedure as follows:
Since the last result is 0, the division is exact, and the quotient is:
\(\frac{x^3+7x^2+3x-11}{x-1}=x^2+8x+11\)
point k is between j and l. if jk = x^2 - 4x , kl = 3x - 2 and jl = 28 write and solve an equation to find the lengths of jk and kl
Answers
Answer:
JK=12
KI=16
Step-by-step explanation:
\(K\in\ [JI]\ \Rightarrow\ |JK|+| KI |=|KI|\\\\x^2-4x+3x-2=28\\\\\Longleftrightarrow\ x^2-x-30=0\\\\\\\Longleftrightarrow\ x^2+5x-6x-30=0\\\\\\\Longleftrightarrow\ x(x+5)-6(x+5)=0\\\\\\\Longleftrightarrow\ (x+5)(x-6)=0\\\\x=-5\ (excluded)\ or\x=6\\\\\\\Longleftrightarrow\ \\|JK|=x^2-4x=6^2-4*6=36-24=12\\|KI|=3x-2=3*6-2=18-2=16\\\\Proof: 12+16=28\\\)
Can you pleas help me with this fraction?
Answers
Answer:
Your answer would be 2/10
Step-by-step explanation:
So first do -1/4 + 3/8 which is 0.125 in decimal form if you prefer to do decimal way
Next: 5/8 is 0.625
Finally: 0.125 divided by 0.625 is 0.2 which in fraction form is 2/10
Hope this helped
A textbook store sold a combined total of 259 chemistry and sociology textbooks in a week. The number of sociology textbooks sold was 81 less than the number of chemistry textbooks sold. How many textbooks of each type were sold?
Answers
178
259-81 you have to subtract
Identify the axis of symmetry, vertex, and range for the quadratic function.
Answers
A long year-end status report for work is 79 pages long. You need to print 18 copies for a meeting next week. How much is the paper going to cost for those reports? Paper is sold in reams (500 pages) for $3.29 each.
Answers
Answer:
$9.87
Step-by-step explanation:
18 copies × 79 pages each = 1422 total pages
1422 total pages ÷ 500 papers per ream = 2.844 reams which rounds up to 3 (only sold in reams of 500)
3 reams × $3.29 = $9.87
Please help me solve this
Answers
Cecelia is paid $120 for 6 hours of work. At this rate, how much money will she make if she works for 2.5 hours? Show your work or explain your reasoning.
I REALLY NEED IT ITS FOR A SUMMITIVE
Answers
calculate the average rate of change for the given graph from x=-2to x=0 and select the correct answer below
Answers
Answer:
\({ \tt{ \delta x = \frac{x _{2} - x _{1} }{2} }} \\ \)
substitute for the values of x :
\({ \tt{ \delta x = \frac{0 - ( - 2)}{2} = \frac{2}{2} }} \\ \\ { \underline{ \tt{ \: \: \delta x = 1 \: \: }}}\)
Find the coordinates of the intersection of the diagonals of the parallelogram with the vertices
W(-2,5), X(2, 5), Y(4, 0), and Z(0, 0).
The coordinates of the intersection are ( , )
Answers
Step-by-step explanation:
the intersection of the diagonals of a parallelogram is always the middle point of either of the diagonals.
so, all we need to do is identify a diagonal and find is middle point.
a diagonal is e.g. from all the way on the left and up (-2, 5) to all the way right and down (4, 0).
the middle point between 2 points is
((x1 + x2)/2, (y1 + y2)/2)
so, here
((-2 + 4)/2, (5 + 0)/2) = (1, 2.5)
the coordinates of the intersection are (1, 2.5).