Answer:
L=8.062 feet
Step-by-step explanation:
wall=7
distance=4
Pythagorean theorem
7^2+4^2=L^2
49+16=L^2
65=L^2
L=8.062 feet
The required length of the ladder is given as 8.06 feet.
What are Pythagorean triplets?In a right-angled triangle, its sides, such as hypotenuse, perpendicular, and base are Pythagorean triplets.
here,
As mentioned in the question,
perpendicular length = 7, base length = 4 feet,
Let the length of the ladder be x,
Following the Pythagoras theorem,
x² = 7 ² + 4²
x ² = 49 + 16
x² = 65
x = √65
x = 8.06
Thus, the required length of the ladder is given as 8.06 feet.
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I need 2 more!! So can you help
Answer:
✔️2a + 6 + 7a
✔️2a + 7a + 6
✔️9a + 6
Step-by-step explanation:
Given:
2(a + 3) + 7a
Required:
3 equations equivalent to the given expression
Solution:
2(a + 3) + 7a = 2a + 6 + 7a = 2a + 7a + 6
= 9a + 6
From the above, we can pick 3 expressions that are equivalent to 2(a + 3) + 7a. They are:
✔️2a + 6 + 7a
✔️2a + 7a + 6
✔️9a + 6
Can someone please help and explain I will mark brainliest
Answer:
I really don't know I am sorry.
Step-by-step explanation:
Answer:
i = integers greater than n
n < i
n = smallest integer
a = 2nd largest integer
b = 3rd largest integer
c = largest integer
d = sum of all the integers
n + a + b + c = 2174
Step-by-step explanation:
x - 6
———
x + 8
=
9
—
3
Step 1 of 2: State any restriction(s) on the variable, if they exist.
need help asap!!
yes those are fractions ^^
Answer:
dont know....mmm sorry
Simplify 7-(3x+5y)+6(2x-3y)+8y
Answer:
Step-by-step explanation:
First get rid of the parentheses. Distribute the - sign and the +6 to each one.
[tex]7-3x-5y+12x-18y+8y\\7+9x-5y-18y+8y\\7+9x-15y[/tex]
20% of the applicants for a certain sales position are fluent in both Chinese and Spanish. Suppose that four jobs requiring fluency in Chinese and Spanish are open. Find the probability that two unqualified applicants are interviewed before finding the fourth qualified applicant, if the applicants are interviewed sequentially and at random.
Answer:
The probability that two unqualified applicants are interviewed before finding the fourth qualified applicant = 0.164
Step-by-step explanation:
Let,
The number of unqualified applicants are interviewed before finding the fourth qualified applicant = x
So,
X be the negative Binomial (n = 4 , P = [tex]\frac{20}{100} = 0.2[/tex] )
As , we know that
P(X = n ) = ⁿ⁺⁴⁻¹Cₙ × (1 - 0.2 )⁴ × (0.2)ⁿ for n = 0, 1, 2, ....
As we have to find the probability that two unqualified applicants are interviewed before finding the fourth qualified applicant
⇒n = 2
∴
P(X = 2 ) = ²⁺⁴⁻¹C₂ × (1 - 0.2 )⁴ × (0.2)² for n = 0, 1, 2, ....
= ⁵C₂ × (0.8 )⁴ × (0.2)²
= [tex]\frac{5!}{2! (5-2)!}[/tex] × 0.41 × 0.04
= [tex]\frac{5.4.3!}{2.1! (3)!}[/tex] × 0.0164
= [tex]\frac{5.4}{2}[/tex] × 0.0164
= 10 × 0.0164 = 0.164
∴ we get
The probability that two unqualified applicants are interviewed before finding the fourth qualified applicant = 0.164
A field is a rectangle with a perimeter of 1240 feet. The length is 400 feet more than the width. Find the width and length of the rectangular field.
The width
Answer: The length is 510 and the width is 110.
Step-by-step explanation:
To find the area of a rectangle, you will have to add the 2 times the length plus 2 times the width because a rectangle have 4 sides. Two widths and two lengths.
You can now use the formula P= 2l + 2w
were P is the perimeter , l is the length, and w is the width.
the length is 400 more than the width, so we can represent that by the equation, l = w + 400
And now we know that the width is w.
So now we will input the perimeter, length, and into the formula to solve for w.
1240 = 2(w + 400) + 2w
1240 = 2w + 800 + 2w
1240 = 4w + 800
-800 -800
440 = 4w
w = 110
L= 110 + 400
L = 510
Check :
1240 = 2(510) + 2(110)
1240 = 1020 + 220
1240 = 1240
my father bought a robot for 670 2.50 and a toy car for 300 19.25 how much change did he get for his 1000.00
A.7.25 B.15.75cm C.27.75cm D.10.25
Answer:
Step-by-step explanation:
If it is supposed to be 672.50 and 319.25 then you can just go 1000 minus 672.50 which is 327.50 and then subtract 319.25 to get 8.25. But your answers show cm and none show the right answer. So, if it's rounding then choose A.
the EXACT value of 2÷(0.01)2 is
The EXACT value of 2÷(0.01)2 is 100.
The question asks that we divide 2 by (0.01)2. Division is a basic mathematical operation. The expression in the question can be rewritten as [tex]\frac{2}{(0.01)2}[/tex].
The first step to take in order to determine the answer is to simplify the denominator. Bracket means to multiply. So, 0.01 would be multiplied by 2. 0.01 x 2 = 0.02. Now that the denominator has been simplified, divide the numerator by the denominator.
2 / 0.02 = 100
A similar question was answered here: https://brainly.com/question/22357901
The EXACT value of 2÷(0.01)2 is 100.
The question asks that we divide 2 by (0.01)2.
Division is a basic mathematical operation.
The expression in the question can be rewritten as : 2/ (0.01)2
now, we get,
The first step to take in order to determine the answer is to simplify the denominator.
Bracket means to multiply.
So, 0.01 would be multiplied by 2.
i.e. 0.01 x 2 = 0.02.
Now that the denominator has been simplified, divide the numerator by the denominator.
we get,
2 / 0.02 = 100
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8/9 ÷ 4/9 = ????????
Answer:
2
Step-by-step explanation:
Does the point (7, 4) satisfy the equation y = x − 3?
Answer:
Yes.
Step-by-step explanation:
If we wrote the equation down
7=4-(-3)
Then, we do keep, change, change
7 = 4+3
Y = 7
The equation is true, so that means the points are.
Job-sharing is an innovative employment alternative that originated in Sweden and is becoming popular in the United States (for example, in 2001, 26% of companies in the U.S. offered it as a flexible work option). Firms that offer job-sharing plans allow two or more persons to work part-time, sharing one full-time job. For example, two job-sharers might alternate work weeks, with one working while the other is off. Job-sharers never work at the same time, and may not even know each other. Job-sharing is particularly attractive to working mothers and to people who frequently lose their jobs due to fluctuations in the economy. In a recent survey of 1,035 major U.S. firms, approximately 23% offer job-sharing to their employees.
For each of the questions, select the correct answer from choices i. through xi. listed below.
a. What is the population of interest?
b. What is the variable measured?
c. What is the sample selected?
d. What is the parameter?
e. What is the statistic?
i. All major U.S. firms
ii. All major firms in the world
iii. All U.S. firms
iv. Job-sharing availability
v. Proportion of employees who are working mothers
vi. The 1,035 firms surveyed
vii. The percentage of all U.S. major firms which o↵er job-sharing to their employees
viii. The percentage of the 1035 major firms surveyed which o↵er job-sharing to their employees
ix. 25%
x. The percentage of all U.S. major firms which employ working mothers
xi. All workers in the U.S. who have participated in he job-sharing program
Answer:
a. The population of interest is:
xi. All workers in the U.S. who have participated in the job-sharing program
b. The variable that is being measured is:
viii. The percentage of the 1035 major firms surveyed which offer job-sharing to their employees
c. The sample selected is:
vi. The 1,035 firms surveyed
d. The parameter is:
v. Proportion of employees who are working mothers
e. The statistic is:
ix. 25% (stated as 23%)
Step-by-step explanation:
The parameter of a population is a fixed value calculated from every individual in the population. It is different from a statistic, which is computed from a sample of the population. The statistic is meant to approximate a population parameter.
You can use the definition of parameter and statistic to distinguish between the two.
The answers to the given sections are:
a. The population of interest is
xi. All workers in the U.S. who have participated in he job-sharing program
b. The variable measured is
viii. The percentage of the 1035 major firms surveyed which o↵er job-sharing to their employees
c. The sample selected is
vi. The 1,035 firms surveyed
Since this was the collection which was selected for study and thus, called sample from the population as all major US firms.
d. The parameter is
vii. The percentage of all U.S. major firms which o↵er job-sharing to their employees
e. The statistic is
ix. 25% (in question it is written 23% which might be mistakenly written, or that it is mistakenly written in option given)
What is a population and parameter?The entire group or system which we are taking in consideration is population. Nothing bigger than it lies there in consideration.
Ex: If we're taking about health problem in a country, then the whole country people form a population.
If we're taking about numbers on a 6 face die, then those 6 numbers on 6 faces form a population.
Those numbers who summarize information about population are called parameter.
What is sample and statistic?A portion of population taken and analyzed to predict information about population is called sample of that population.
Ex: When someone surveys a group, then he/she surveys a portion and not whole population in general.
Those numbers who summarize information about sample are called statistic.
(Statistic is different than statistics)
Using the above definitions to find the answersa. The population of interest is
xi. All workers in the U.S. who have participated in he job-sharing program
b. The variable measured is
viii. The percentage of the 1035 major firms surveyed which o↵er job-sharing to their employees
c. The sample selected is
vi. The 1,035 firms surveyed
Since this was the collection which was selected for study and thus, called sample from the population as all major US firms.
d. The parameter is
vii. The percentage of all U.S. major firms which o↵er job-sharing to their employees
e. The statistic is
ix. 25% (in question it is written 23% which might be mistakenly written, or that it is mistakenly written in option given)
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How many milliliters should she measure to equal .62liters?
Answer:
620 milliliters
Step-by-step explanation:
All you need to do is multiply the volume value by 1,000
.62 x 1,000
620
Hope this helped!
Have a supercalifragilsticexpialidocious!
Look at pic plz help
Answer:
tree C was planted first
Step-by-step explanation:
Since Tree c was 10 inches tall when it was first grown and Tree A was 5 at first and Tree B was 3 inches tall. 10>5 10>3
A curve has equation y = f(x). (a) Write an expression for the slope of the secant line through the points P(2, f(2)) and Q(x, f(x)). x − 2 f(x) − f(2) f(2) − 2 f(x) − x f(x) − x f(2) − 2 f(x) − f(2) x − 2 (b) Write an expression for the slope of the tangent line at P. lim x→0 f(x) − f(2) x − 2 lim x→2 x − 2 f(x) − f(2) lim x→2 f(x) − f(2) x − 2 lim x→0 f(x) − x f(2) − 2
The sum of two consecutive mile markers on the interstate is 331. Find the numbers on the markers
Answer:
165 and 166
Step-by-step explanation:
Let two consecutive mile markers be x and x+1.
According to the question,
x+x+1=331
2x = 331-1
2x = 330
x = 165
So, the number be 165 and 166.
Which polygon appears to be regular?
O Figure A
O Figure B
O Figure C
Figure A
Figure B
O Figure D
Figure C
Figure D
Figure C appears to have all sides and angles the same.
What are regular polygons?A regular polygon is a closed shape that has straight sides of equal length and interior angles of equal measure.
This means that all of the sides and angles of a regular polygon are congruent (i.e., have the same size).
We have,
Some examples of regular polygons include equilateral triangles, squares, pentagons, hexagons, and so on.
A regular polygon can have any number of sides, and its name reflects the number of sides it has.
For example, a polygon with three sides is called a triangle, a polygon with four sides is called a quadrilateral, a polygon with five sides is called a pentagon, and so on.
Thus,
Figure C appears to have all sides and angles the same.
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2x²+2 (2x) +5=0
solve indices
Step-by-step explanation:
2x²+4x+5=0
.....
solve it by using the factorisation method or completing the square method
don't mind the hand writing
am I correct btw
Looking for right triangle side a is 1 inch long,and side b is 2 inches long. What is the length of side c?
Answer:
[tex]\sqrt{5}[/tex]
Step-by-step explanation:
[tex]a^{2} + b^{2} = c^{2}[/tex]
In this situation a = 1, b = 2
[tex]1^{2} + 2^{2} = c^{2}[/tex]
1 + 4 = [tex]c^{2}[/tex]
5 = [tex]c^{2}[/tex]
c = [tex]\sqrt{5}[/tex]
This is an important mathematical theorem to know. It's called the Pythagorean Theorem.
Maria found that 4 bags of leaves weight 6 pounds and 8 bags of leaves weight 12 pounds .She made a graph to help her find the weight of the other bags
which ordered pair follows the pattern in the graph
Answer:
Each bag had weighed about 1 1/2 (or 1.5) pounds.
Step-by-step explanation:
6 divided by 4 should end in a result of the unit weight 1.5 lbs.
I hoped this Helped and i Hope that You have a Splendid day!!!Answer:
3, 4
Step-by-step explanation:
i divided 6 and 8 by 2 and got 3,4
boom magic
HELP ASAP
Plzzzzzzz
Answer:
106°
Step-by-step explanation:
180-74=106°
Answer:
106
Step-by-step explanation:
supplementary means 2 angles = 180
so..
180-74=106
SPEED, DISTANCE AND TIME
please please !!!!!!!!!!!!!!!!!!!!!!!!!!!!!! emergency will give thanks
1) A cyclist travels a distance of 90 miles in 5 hours. What
was her average speed?
2) How far along a motorway would you travel if you drove at
70 mph for 4 hours?
3) I drive to Bude in Cornwall from Sheffield in about 6
hours. The distance from Sheffield to Bude is 315 miles.
What is my average speed?
4) The distance from Leeds to London is 210 miles. The train
travels at an average speed of 90 mph. If I catch the 9.30 am
train in London, at what time should I expect to arrive in
Leeds?
5) How long will an athlete take to run 2000 m at an average
speed of 4 metres per second?
6) The distance between Sheffield and Land’s End is 420
miles.
a) What is the average speed of a journey from Sheffield to
Land’s End that takes 8 hours 45 minutes?
b) If Sam covered the distance at an average speed of 63
mph, how long would it take him?
Answer:
1 --- The cyclist's average speed was 18 miles per hour.
2 --- I would travel 280 miles far.
3 --- Your average speed was 52.5 miles per hour.
4 --- You should expect to arrive in Leeds at 11:50 AM.
5 --- The athlete will run 2000 m in 8 minutes and 20 seconds.
6A --- The average speed of the journey is 48 miles per hour.
6B --- It will take him 6 hours and 40 minutes.
Step-by-step explanation:
1) 90 / 5 = 18
2) 70 x 4 = 280
3) 315 / 6 = 52.5
4) 210 / 90 = 2.3333
0.333 = 0:20
9:30 + 2:20 = 11:50
5) 2000 / 4 = 500
500 / 60 = 8.3333
0.3333 = 0:20
8.3333 = 8:20
6A) 0:45 = 0.75
420 / 8.75 = 48
6B) 420 / 63 = 6.666
6.6666 = 6:40
The perimeter of a rectangular wall divider is 100 feet. Its height is 15 feet. What is its width?
A. 15 feet
B. 35 feet
C. 85 feet
D. 100 feet
Answer: I think it's C.
Step-by-step explanation:
Answer:
Step-by-step explanación: La temperatura al interior de un congelador es de 20 °C y, luego de ... Por unidad su costo es $ 85 y el precio de venta es de $ 100. ... litros se pueden llenar 1 latas de bebida, si cada una contiene con 15 _ 2 0,35 litros? ... a los pies se demora 0,015 segundos,
-3m + 5>26
How to answer this question
9514 1404 393
Answer:
m < -7
Step-by-step explanation:
Maybe you want to find the value of m.
Subtract 5, then divide by -3.
-3m +5 > 26 . . . given
-3m > 21 . . . . . . subtract 5 from both sides
m < -7 . . . . . . . . divide by -3. Dividing by a negative number reverses the inequality.
Write a ratio, in simplest form, and a percent for the shaded area. (3x4)
3/10, 27%
1/2, 50%
1/3, 33.33%
3/10, 30%
9 - 3x +7y -Зу +3
Thx!!!
Solve the system of equations and choose the correct answer from the list of options. (4 points)
2x + y = −4
y = 3x + 2
Question 4 options:
1)
negative 6 over five comma negative 8 over 5
2)
negative 8 over 5 comma negative 6 over 5
3)
negative 5 over 6 comma negative 11 over 5
4)
negative 11 over 5 comma negative 6 over 5
Answer:
Negative 8 over 5 comma negative 6 over 5
William bought 5 rulers for $7.50. If r represents the cost of one ruler, which equation represents this situation?
Group of answer choices
5r = 7.50
r/5 = 7.50
r + 5 = 7.50
7.50r = 5
Answer:
5r = 7.50
Step-by-step explanation:
As, the cost of 1 ruler = r
So, r times 5 ruler will give u the cost of 5 rulers, which is 7.50
So, 5r = 7.50
2. ABCD is a square and P, Q are the midpoints of BC,CD respectively. If AP = a
and AQ = b. find in terms of a and b the directed line segments (i) AB (ii) AD
(iii) BD and (iv) AC.
Answer:
The answer is below
Step-by-step explanation:
A square is a quadrilateral (four sides and angles). All the sides and angles of a square are equal. Each angle of a square is 90° and the diagonals are equal.
In square ABCD:
AB = BC = CD = AC (all the sides of a square are equal)
Given that P is the midpoint of BC and Q is the midpoint of CD. AP = a and AQ = b.
a) Triangle APB is a right angled triangle:
BC = AB (all sides of a triangle are equal)
PB = 1/2 (BC) = 1/2(AB) = 0.5AB
Using Pythagoras theorem:
AB² + PB² = AP²
substituting:
AB² + (0.5AB)² = a²
AB² + 0.25AB² = a²
1.25AB² = a²
AB² = 0.8a²
AB = a√0.8
b) Triangle AQD is a right angled triangle:
AD = DC (all sides of a triangle are equal)
DQ = 1/2 (DC) = 1/2(AD) = 0.5AD
Using Pythagoras theorem:
AD² + DQ² = AQ²
substituting:
AD² + (0.5AD)² = b²
AD² + 0.25AD² = b²
1.25AD² = b²
AD² = 0.8b²
AD = b√0.8
c) In right triangle ADB, Using Pythagoras theorem:
AB² + AD² = BD²
But AB = AD
Substituting:
0.8a² + 0.8b² = BD²
BD = √(0.8a² + 0.8b²)
But AD = AB, hence 0.8a² = 0.8b²
BD = √(1.6a²)
BD = a√1.6
D) AC = AD (diagonals of a square are equal)
AC = √(0.8a² + 0.8b²)
AC = √(1.6b²) = b√1.6
sum of two numbers is 35 and the difference is 15
Answer
IM not too sure
Step-by-step explanation:
Not too sure sorry kid
Answer:
25 and 10 are the numbers
Step-by-step explanation:
can somebody help me with this?
Answer:
x=11
Step-by-step explanation:
Since this is a 90º angle, 46º+(4x)º has to equal 90º, and you can make and solve an equation for this:
46+4x=90
4x=44
x=11
Check:
46+4x=90
46+4(11)=90
46+44=90
90=90