Answer: 6√2m or 8.49.
Step-by-step explanation:
Drawing the right angled triangle and label the sides, AC, which is the hypotenuse and the longest, AB , one if the sides, and BC the third sides. Since it is an isosceles right angle triangle with the right angle at B, based on my own diagram here, two of the sides are equal.
AB = BC = 6m
Now to find the hypotenuse, we apply the Pythagoras theorem which states that the square of the sum of the two sides equal the square of the hypotenuse side.That is
AC² = AB² + BC²
AC² = 6² + 6²
= 36. + 36
= 72
AC² = 72, Therefore, AC which is the hypotenuse
AC = √72
= √36 × √2
= 6√2m. or 8.49m
the sum of a number and five is seventeen what is the number?
The sum of two numbers is twenty-five. One number is five less than the other.
Answer: x=15, y=10
*Note: x and y are only variables used to solve this problem, but know that the two numbers are 15 and 10.
Step-by-step explanation:
For this problem, we can use system of equations. Let's use x for one number and y for the other.
First Equation:
x+y=25
We get this equation because it states that the sum of the two numbers is 25.
Second Equation:
y=x-5
We get this equation because it says one number (y) is 5 less than the other (x).
Since we have two equations, we can use substitution method to solve.
[tex]x+(x-5)=25[/tex] [distribute 1 to (x-5)]
[tex]x+x-5=25[/tex] [combine like terms]
[tex]2x-5=25[/tex] [add both sides by 5]
[tex]2x=30[/tex] [divide both sides by 2]
[tex]x=15[/tex]
Now that we have x, we can plug it into any of the equations to find y.
[tex]x+y=25[/tex] [plug in x=15]
[tex]15+y=25[/tex] [subtract both sides by 15]
[tex]y=10[/tex]
Finally, we have our answer, x=15 and y=10.
Answer:25,-5
Step-by-step explanation:
v = s^2 + 1/2sh ; solve for h
please provide answer & clear explanation
Answer:
h = 2 (v − s²) / s
Step-by-step explanation:
v = s² + ½sh
Subtract s² from both sides.
v − s² = ½sh
Multiply both sides by 2.
2 (v − s²) = sh
Divide both sides by s.
2 (v − s²) / s = h
Which statement is false?
Some integers are irrational.
Some integers are whole numbers.
Some rational numbers are integers.
Some real numbers are irrational.
Some integers are irrational is false
Answer:
A.) Some integers are irrational
Step-by-step explanation:
Integers are natural numbers, their opposites, and zero. (-2,-1,0,1,2)
Natural numbers, whole numbers, and integers are all rational numbers.
Irrational numbers cannot be written as quotients of integers, and they have decimal representations that do not repeat or terminate ([tex]\sqrt{2},\pi[/tex]).
The other statements are true
What is the cost of x students paying tuition of $2800 each?
Answer:
Total cost of x students tuition = $2,800x
Step-by-step explanation:
Total cost of x students tuition
= Amount of tuition × number of students
Amount of tuition= $2,800
Number of students = x
Total cost of x students tuition
= Amount of tuition × number of students
= $2,800 * x
= $2,800x
Total cost of x students tuition = $2,800x
For example, if there are 2 students in total
Total cost of x students tuition = $2,800x
When x= 2
= $2,800 × 2
= $5,600
Total Cost of students paying tuition of $2,800 each is $5,600
A whale that is 460 feet below sea level rises up and breaches out of water to a height of 27 feet above sea level. What is the vertical distance the whale travels.
Answer:
487ftStep-by-step explanation:
Let the initial point of of the sea level be 0. If the whale was initially 460 feet below sea level, then its distance from the surface of sea level to the 460ft below the sea level will be 460 - 0 = 460ft.
Also, if the whale rises up and breaches out of water to a height of 27 feet above sea level, then its distance from the surface of sea level to the 27ft above the sea level will be 0 - 27 = 27ft.
The vertical distance that the whale travels = distance from the sea level to 460ft below the sea level + distance from the sea level to 27ft above the sea level
The vertical distance that the whale travels = 460ft + 27ft
The vertical distance that the whale travels = 487ft
You are selling cakes at a bake sale for $6.75 each. You spend $86 to buy ingredients and supplies.
There is no charge to have a table at the sale. Write an expression that shows your profit from
selling n cakes. Then find the profit if you sell 25 cakes.
Answer:
Profit from selling n cakes = $6.75n - $86
Profit from selling 25 cakes = $82.75
Step-by-step explanation:
You are selling cakes at a bake sale for $6.75 each.
You spend $86 to buy ingredients and supplies.
Profit from selling n cakes is;
Profit = Selling price - cost price
Profit = $6.75n - $86
Profit for selling 25 cakes is;
Profit = $6.75(25) - $86 = $82.75
Is this the correct answer for a statistical question?
Answer:
yes it think
Step-by-step explanation:
You are correct. A statistical question is one where you apply things like random sampling and averages to answer questions such as choice B. With that many people, there's variability in the height so there isn't one set height. So instead we have an average height.
The other questions are simple straightforward answers that don't require statistics. There isn't any variability in the dataset for these types of questions.
The type of light waves that living things give off naturally is called O gamma radiation. infrared light. O visible light. O radio waves.
Answer:
Infrared light
Step-by-step explanation:
Infrared cameras capture heat signals from living or warm objects. Body heat is given off as infrared energy; our natural eyes can't see it.
Answer:
Infra-red Light
Step-by-step explanation:
Is A and V a collinear?
Yes
No
Answer:
yes
Step-by-step explanation:
yes because they are in the same line
A local church has a congregation consisting of 480 adult members. The church's administrators would like to estimate the average weekly donation per member per week. A random sample of 65 members was found to have an average donation of $50.40 and a standard deviation of $12.30. The 95% confidence interval to estimate the average weekly donation is ________.
Answer:
The confidence interval = ($47.41, $53.39)
Step-by-step explanation:
Confidence Interval formula
= Mean ± z × Standard deviation/√n
Mean = $50.40
Standard deviation = $12.30
z score for a 95% confidence interval = 1.96
n = 65
Confidence Interval = $50.40 ± 1.96 × $12.30/√65
= $50.40 ± 2.9902293815
Confidence Interval =
$50.40 - 2.9902293815 =
47.409770618
≈$47.41
$50.40 + 2.9902293815 = 53.390229381
≈$53.39
Therefore, the confidence interval = ($47.41, $53.39)
Use the given graph to determine the limit, if it exists. (4 points) A coordinate graph is shown with an upward sloped line crossing the y axis at the origin that ends at the open point 3, 1, a closed point at 3, 7, and a horizontal line starting at the open point 3, 3. Find limit as x approaches three from the right of f of x.
Answer:
65x and 32 that your answer
65x and 32 is your answer to the question.
Solve the inequality. Enter any fractions as reduced improper fractions. 4x ≤ -2/5(6x + 6) The solution is _____
Answer:
x≤ -3/8
Step-by-step explanation:
[tex]4x\le \:-\frac{2}{5}\left(6x+6\right)\\[/tex]
Expand ;
[tex]\mathrm{Expand\:}-\frac{2}{5}\left(6x+6\right):\quad -\frac{12}{5}x-\frac{12}{5}[/tex]
[tex]4x\le \:-\frac{12}{5}x-\frac{12}{5}\\\\\mathrm{Add\:}\frac{12}{5}x\mathrm{\:to\:both\:sides}\\\\4x+\frac{12}{5}x\le \:-\frac{12}{5}x-\frac{12}{5}+\frac{12}{5}x[/tex]
Simplify
[tex]\frac{32}{5}x\le \:-\frac{12}{5}\\\\Multiply \:both\:sides\:by\:5\\5\times\frac{32}{5}x\le \:5\left(-\frac{12}{5}\right)\\\\Simplify\\32x\le \:-12\\\\Divide \:both\:sides\:by\:32\\\frac{32x}{32}\le \frac{-12}{32}\\\\Simplify\\x\le \:-\frac{3}{8}[/tex]
Central High wants to estimate the number of seniors who plan to go to a 4-year college. Answer the following.
Answer:
plz ask question correctly
Which sequence of transformations means the image would be congruent to the original figure instead of similar to it?
dilation and rotation
translation and rotation
translation and dilation
reflection and dilation
Answer:
B.) translation and rotation
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Solve the following for y: 4x + 2y = −2 (5 points)
Answer:
y= -1-2x
Step-by-step explanation:
[tex]4x + 2y = −2[/tex]
Move 4x to the right and change it's sign
[tex]2y = - 2 - 4x[/tex]
Divide through by 2
[tex] \frac{2y}{2} = \frac{ - 2}{2} - \frac{4x}{2} [/tex]
Simplify
[tex]y = - 1 - 2x[/tex]
PLEASE HELP ME I AM IN DIRE NEED OF ASSISTANCE EXTRA POINTS INCLUDED BRAINLIEST GUARANTEED. Explain how to solve 5x − 2 = 8 using the change of base formula log base b of y equals log y over log b. Include the solution for x in your answer. Round your answer to the nearest thousandth.
Answer:
5x - 2 = 8
5x = 8 + 2
5x = 10
x = 10/5
x = 2
The fastest pizza box folder can assemble 2 pizza boxes in 5 seconds. At this rate, how long would it take to assemble 20 pizza boxes?
Answer:
50 seconds
Step-by-step explanation:
2 boxes in 5 seconds
20÷2=10
10×5=50
50 seconds = 20 pizza boxes
Answer:
50
Step-by-step explanation:
2=5secs
20=?
to make 20 from 2 you do =2×10
so,
5×10=50seconds is the time he would take to assemble 20pizza boxes
PLEASE HELP QUICKLY AS POSSIBLE THANK YOU:)
Answer:
10 c
Step-by-step explanation:
4 c = 2 qt
8c + 2c = 10c
Does this seem as the correct answer?
Which expression is equivalent to the one below?
Answer:
B. [tex]5*\frac{1}{7}[/tex]
Step-by-step explanation:
5÷7 is also [tex]\frac{5}{7}[/tex]--that divided sign is what the fractional bar represents in a fraction.
now multiply [tex]5*\frac{1}{7}=\frac{5}{1}*\frac{1}{7}=\frac{5*1}{1*7}=\frac{5}{7}[/tex]
both are the same result, so your answer is Choice B.
A 36 foot long rope is cut into two pieces, and one of the pieces is twice as large as the other. a. What does the variable 'x' mean in this problem? b. Set up an equation from the problem's description and your variable. c. Find the length of the two pieces of rope.
a.
x - the length of the shorter piece
b.
twice as large means:
2x - the length of the loger piece
so:
x + 2x - the sum of length of pieces {total of rope}
the equation: x + 2x = 36
c.
x + 2x = 36
3x = 36
÷3 ÷3
x = 12 ft
2x = 2×12 = 24 ft
The length of the shorter piece is 12 ft
The length of the loger piece is 24 ft
(20a - 1) ÷ b when a= 2 and b= 13
Answer:
3
Step-by-step explanation:
(20a - 1) ÷ b
a = 2
b = 13
(20(2) - 1) ÷ 13
(40-1)÷13
39÷ 13
= 3
answer: 32a^{13}b
your welcome
3. If mZEFH = (5x + 1), mZHFG = 62°, and
mZEFG = (18x + 11), find each measure.
Answer/Step-by-step explanation:
Given:
m<EFH = (5x + 1)°
m<HFG = 62°
m<EFG = (18x + 11)°
Required:
1. Value of x
2. m<EFH
3. m<EFG
SOLUTION:
1. Value of x
m<EFH + m<HFG = m<EFG (angle addition postulate)
(5x + 1) + 62 = (18x + 11)
Solve for x using this equation
5x + 1 + 62 = 18x + 11
5x + 63 = 18x + 11
Subtract 18x from both sides
5x + 63 - 18x = 18x + 11 - 18x
-13x + 63 = 11
Subtract 63 from both sides
-13x + 63 - 63 = 11 - 63
-13x = -52
Divide both sides by -13
-13x/-13 = -52/-13
x = 4
2. m<EFH = 5x + 1
Plug in the value of x
m<EFH = 5(4) + 1 = 20 + 1 = 21°
3. m<EFG = 18x + 11
m<EFG = 18(4) + 11 = 72 + 11 = 83°
Order the following values from least to greatest |-2| |4.5| -7 3
Answer:
-7, |-2|, 3, |4.5|
Step-by-step explanation:
-7 is the lowest number, since it is a negative. The absolute value of -2, or |-2|, is 2 making it the second lowest. 3 comes next. The absolute value of 4.5 is 4.5, being the greatest number.
Answer:
-7, |-2|, 3, |4.5|
Step-by-step explanation:
First, let's find -2 and |4.5| .
Absolute value of a number is its distance from 0. Remember, absolute value is always zero or positive.
Now, let's use a number line to order the numbers. Numbers to the left are less than numbers to the right.
The values in order from least to greatest is as follows: -7, |-2|, 3, |4.5|.
What is the following lines is not parelle of y=4x+7
Answer: 4y - x = 8
y = 4x + 7
This equation is in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. The slope of this line is 4. Parallel lines have the same slope, thus a line not parallel to this line will not have a slope of 4. Let's check which of these lines does not have a slope of 4.
y - 4x = 9
y = 9 + 4x (add 4x to both sides)
y = 4x + 9 (switch the constant and x-term)
This line has a slope of 4.
4x - y = 8
-y = 8 - 4x (subtract 4x from both sides)
y = -8 + 4x (divide both sides by -1)
y = 4x - 8 (switch the constant and x-term)
This line has a slope of 4.
4y - x = 8
4y = 8 + x (add x to both sides)
y = 8/4 + x/4 (divide both sides by 4)
y = x/4 + 2 (simplify and switch constant and x-term)
This line has a slope of 1/4. It is thus not parallel to the line y = 4x + 7.
Answer: 4y - x = 8
Hoped I helped
The data below are the temperatures on randomly chosen days during the summer and the number of employee absences at a local company on those days. Construct a 95% prediction interval for y, the number of days absent,
given x = 95 degrees and y= 0.449x - 30.27
Temperature, x 72 85 91 90 88 98 75 100 80
Number of absences, y 3 7 10 10 8 15 4 15 5
Answer:
The critical region is t ≥ t(0.025, 7) = 2.365
Since the calculated value of t= 18.50249 falls in the critical region we reject the null hypothesis and conclude that there is sufficient reason to support the claim of a linear relationship between the two variables.
Step-by-step explanation:
We set up our hypotheses as
H0: β= 0 the two variable X and Y are not related
Ha: β ≠ 0. the two variables X and Y are related.
The significance level is set at α =0.05
The test statistic if, H0 is true, is t= b/s_b
Where Sb =S_yx/√(∑(X-X`)^2 )
Syx = √((∑(Y-Y`)^2 )/(n-2))
In the given question we have the estimated regression line as y= 0.449x - 30.27
X Y X2 Y2 XY
72 3 5184 9 216
85 7 7225 49 595
91 10 8281 100 910
90 10 8100 100 900
88 8 7744 64 704
98 15 9604 225 1470
75 4 5625 16 300
100 15 10000 225 1500
80 5 6400 25 400
∑779 77 68163 813 6995
Now finding the variances
∑(Y-Y`)^2 = ∑〖Y^2- a〗 ∑Y- b∑XY
= 813 – (- 30.27)77 - 0.449(6995)
= 813+2330.79 – 3140.755
= 3.035
∑(X-X`)^2 = ∑X^2 – (∑〖X)〗^2 /n
= 68163 – (779)2/9
= 736.22
Syx = √((∑(Y-Y`)^2 )/(n-2)) = √(3.035/7) = 0.65846 and
Sb =S_yx/√(∑(X-X`)^2 ) = (0.65846 )/27.13337 = 0.024267
t= b/s_b = 0.449/ 0.024267 = 18.50249
The critical region is t ≥ t(0.025, 7) = 2.365
Since the calculated value of t= 18.50249 falls in the critical region we reject the null hypothesis and conclude that there is sufficient reason to support the claim of a linear relationship between the two variables.
please help// geometry question
a. Since a line doesn't have endpoint, it doesn't matter which
two points we use to name a line so we could call this line DC.
b. A ray is a figure that starts at and endpoint and continues
forever in one single direction. So a ray here would be ray AB.
c. Opposite rays are two rays that share a common endpoint,
have no other points of intersection, and all points are collinear.
So ray EC and ray ED would be opposite rays.
A) Line names are made using two letters, since line CD passes through E, line CD could be renamed CE
B) a Ray has one end point and goes in one direction. If A is the endpoint, the line goes through point B
The Ray would be AB with an arrow pointing to the right above the letters.
C) Opposite rays create a straight line and have the same point.
Ray ED is opposite EC
Find the area of the triangle whose base is 12 cm and height is 4 cm.
Answer:
24 square cm
Step-by-step explanation:
[tex]area \: of \: \triangle = \frac{1}{2} \times base \times height \\ = \frac{1}{2} \times 12 \times 4 \\ = 6 \times 4 \\ = 24 \: {cm}^{2} \\ [/tex]
Solve the equation: 61 – p = 14
Answer:
p= 47
Step-by-step explanation:
61 - p = 14
p = 61 - 14
p = 47.