Richard wants to paint the top and sides of the block column. What is the surface area he needs to cover?
Answers
The Surface area to be painted = 512 ft²
What is the Surface Area of a Rectangular Prism?The surface area of a rectangular prism = 2(w × l + h× l + h × w). Where:
w = width of the rectangular prism
h = height of the rectangular prism
l = length of the rectangular prism
The block column has a shape of rectangular prism. Therefore, the surface area that Richard needs to paint which excludes the bottom of the block = 2(w × l + h× l + h × w) - l × w.
l = 10 fth = 12 ftw = 8 ftPlug in the values
Surface area to be painted = 2(8 × 10 + 12 × 10 + 12 × 8) - 10 × 8
Surface area to be painted = 592 - 80
Surface area to be painted = 512 ft²
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Related Questions
large pies cost $5, and small pies cost $2. if 45 pies were sold for $120, how many small pies were sold ?
Answers
Answer:
35 small pies
Step-by-step explanation:
Framing system of linear equations and solving:Let the number of large pies be 'l' and
The number of small pies be 's'.
Total pies sold = 45
⇒ l + s = 45 ------------(I)
l = 45 - s -------(II)
Cost of 45 pies = $120
Cost of 1 large pie = $5
Cost of 'l' large pies = 5*l = 5l
Cost of 1 small pie = $2
Cost of 's' small pie = 2*s = 2s
5l + 2s = 120 --------------(III)
Solving : substitution method
Substitute l = 45 -s in equation (III)
5*(45 - s) + 2s = 120
5*45 - 5*s + 2s = 120
225 - 5s + 2s = 120 {Combine like terms}
225 - 3s = 120
-3s = 120 - 225 {Subtract 225 from both sides}
-3s = -105
s = -105 ÷ (-3) {Divide both sides by (-3)}
s = 35
Substitute s = 35 in equation (II),
l = 45 - s
= 45 - 35
l = 10
[tex]\sf \boxed{\text{\bf 35 small pies were sold}}[/tex]
15 blank CDs for $5; 45 blank CDs for $15
Answers
The cost of 45 blank CD's will be equal to $ 14.85.
It is given that 15 blank CD's costs $5.
We have to find out what will be the cost of 45 blank CD's.
What is the unitary method?
The unitary method is a method in which we find the value of a unit and then the value of the required number of units.
As per the question ;
Cost of 15 blank CD's = $5
So ;
The cost of 1 blank CD will be ;
= 5 ÷ 15
= $ 0.33
And
The cost of 45 blank CD's will be ;
= 45 × $0.33
= $ 14.85
Thus , the cost of 45 blank CD's will be equal to $ 14.85.
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Using the diagram and the given angle measure to find the other three angle measures
Answers
Based on the given.
If [tex]m∠2 = 59°[/tex]
Then, [tex]m∠4 = 59 °[/tex]
(reason: vertically opposite angles are equal)
If [tex]m∠4 = 59 °[/tex]
Then, [tex]m∠1⟹ 180 - 59 = 121 °[/tex]
(reason: angles on a straight line = 180°)
If [tex]m∠1 = 121°[/tex]
Then, [tex]m∠3 = 121°[/tex]
(reason: vertically opposite angles are equal)
Therefore:
[tex]m∠1 = 121°[/tex]
[tex]m∠3 = 121°[/tex]
[tex]m∠4 = 59 °[/tex]
See attached image for the placement of the values.
dr. aguilera conducts psychological research that examines factors associated with college student academic performance. she administered a survey to 127 participants from her university’s student subject pool. in the survey, she asked students to report their current college grade point average (gpa). dr. aguilera also asked questions about sleeping, eating habits, and social media use.
Answers
According to Dr. Aguilera's findings, excessive levels of anxiety are associated with poor academic performance. Sleep duration, on the other hand, is unrelated to excellent or poor academic performance.
we are able to reach this end due to the fact:Dr. Aguilera determined a main significance in the relationship among anxiety and academic success.moreover, this quantity is terrible, indicating a poor dating between these variables.consistent with this bad connection, the greater the value of one variable, the lower the fee of the opposite. As a result, the extra anxiety, the decrease the educational achievement.The phrase "correlation" refers back to the hyperlink between two variables. As a end result, if the adjustment is equal to zero, there may be no link between the two variables.The association among sleep hours and educational fulfillment became nil. this means that those elements have no effect on each other and are unrelated.it is important to word that the operational definition of this test is big since it presentations the measurements utilised to acquire the findings in addition to the general control of the test.nevertheless, the cohort impact is important for averting hurdles to size and research methodologies.To learn more about the cohort effect, visit :
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5. The box plot represents the distribution of the number of points scored by a cross country team at 12 meets.
Answers
Answer:5 teams
Step-by-step explanation:
the figure, ray OJ is perpendicular to ray OE. If ∠JOL=6x+10 and ∠LOE=x+10, find the measure of ∠LOE.
Answers
Answer:
∠ LOE = 20°
Step-by-step explanation:
since OJ is perpendicular to OE then ∠ JOE = 90°
from the diagram
∠ JOL + ∠ LOE = ∠ JOE ( substitute values )
6x + 10 + x + 10 = 90
7x + 20 = 90 ( subtract 20 from both sides )
7x = 70 ( divide both sides by 7 )
x = 10
Then
∠ JOE = x + 10 = 10 + 10 = 20°
4 ÷ 2/5
Help (( 15 points ))
Answers
[tex]4 \div \frac{2}{5} [/tex]
[tex]4 \times \frac{5}{2} [/tex]
[tex]2 \times 5[/tex]
[tex]10[/tex]
Answer:10
Step-by-step explanation:
first step 4× 5/2
second step 4x5
2
third step is to simplify 20/2 which is
10
in the eight-term sequence $a$, $b$, $c$, $d$, $e$, $f$, $g$, $h$, the value of $c$ is 5 and the sum of any three consecutive terms is 30. what is $a h$?
Answers
The value of A + H is 25 for the given sequence.
What is a series?A sequence's series is the total number of terms in the sequence.
A series follows some pattern for example if you take data set of natural numbers then there will be a sequence of that data and something will be due to that we can form that series.
Given that sum of any three consecutive terms is 30
Since c = 5
So a + b + c = 30
a + b = 25
⇒ (a+b)+(c+d+e)+(f+g+h)
⇒ 25 + 30 + 30 = 85
Now,
a+b+c+d+e+f+g+h = 85
a + h +(b+c+d)+(e+f+g) = 85
a + h + 30 + 30 = 85
a + h = 25
Hence "The value of A + H is 25 for the given sequence".
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for exercises 17 and 18, find the acute angle between the given lines by using vectors parallel to the lines. y
Answers
Your question was incomplete. Please refer the content below:
For Exercises 17 And 18, Find The Acute Angle Between The Given Lines By Using Vectors Parallel To The Lines.
y = x , y = 2 x + 3
The acute angle between the lines y = x and y = 2 x + 3 is 18.4349°.
We are given the lines:
y = x
y = 2 x + 3
The formula for finding the angles between two vectors is given by:
cos θ = u · v / | u | | v|
We know that (0,0) and (1, 1) lies on the line y = x.
Now, vector u for the line y = x will be:
u = (1,1) - (0,0) = {1, 1}
(0,3 ) and (1, 5) lies on the line y = 2 x + 3
Similarly, vector v will be equal to:
v = (1, 5) - (0, 3) = {1, 2}
cos θ = {1, 1} · {1, 2} / √1 + 1 √1 + 4
cos θ = 1 + 2 / √10
cos θ = 3 / √10
θ = cos⁻¹ ( 3 / √10)
θ = 18.4349°
Therefore, the acute angle between the lines y = x and y = 2 x + 3 is 18.4349°.
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a consumer affairs investigator records the repair cost for 1010 randomly selected vcrs. a sample mean of $72.82$72.82 and standard deviation of $24.17$24.17 are subsequently computed. determine the 90�% confidence interval for the mean repair cost for the vcrs. assume the population is approximately normal. step 1 of 2 : find the critical value that should be used in constructing the confidence interval. round your answer to three decimal places.
Answers
Your question was incomplete. Please refer the content below:
Consumer affairs investigator records the repair cost for 10 randomly selected VCRs. A sample mean of $72.82 and standard deviation of $24.17 are subsequently computed. Determine the 90% confidence interval for the mean repair cost for the VCRs. Assume the population is approximately normal. Construct the 90% confidence interval. Round your answer to two decimal places.
We get that the critical value of the 90 % confidence interval is 1.833 and the interval is (58.81, 86.83).
We are given that the number of VCRs are 10.
So, we get that:
Sample size = n = 10
Now, we get the degree of freedom as:
d o f = n - 1
d o f = 10 - 1
d o f = 9
For 90% confidence interval , critical value will be:
t (0.10, 9) = 1.833
Lower limit of 90% confidence interval will be:
Lower interval = Mean - t (0.10,9) × s / √n
= 72.82-1.833 × 24.17 /√10
= 58.81
Upper limit of 90% confidence interval will be:
Upper interval = Mean + t (0.10,9) × s /√n
= 72.82 + 1.833 × 24.17/√10
= 86.83
Therefore, we get that the critical value of the 90 % confidence interval is 1.833 and the interval is (58.81, 86.83).
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if the rate of inflation is 3.9% per year, the future price pt (in dollars) of a certain item can be modeled by the following exponential function, where t is the number of years from today.
Answers
The current price of the item = 400 dollars
The price in 8 years from today = 543.23 dollars
Given the rate of inflation = 3.9%
The exponential function modelling the future price, p(t) in t years for a certain item is, [tex]p(t)=400(1.039^t)[/tex]
We have to find the current price of the item. This is given by substituting t = 0 in p(t).
That is, p(0) = 400 x 1 = 400 dollars
Therefore current price = 400 dollars
To find the price of the product in 8 years, substitute t = 8 in p(t).
That is, p(8) = [tex]400(1.039^8)[/tex] = 543.23 dollars
Therefore, the future price of the item in 8 years = 543.23 dollars
The question is incomplete. Find out the complete question below:
If the rate of inflation is 3.9% per year, the future price p(t) (in dollars) of a certain item can be modeled by the following exponential function, where t is the number of years from today. p(t)= 400(1.039^t).Find the current price of the item and the price 8 years from today.
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with show work please!
Answers
Check out the attached photo
solve the following quadratic equation by extracting the square root.
4(m-1)²-4=0
thank u!!!
Answers
Step-by-step explanation:
[tex] \sqrt{} 4(m - 1) ^{2} = \sqrt{} 4 [/tex]
Answer:
4(m-1)^2=4
(2(m-1))^2=2^2
2(m-1)=2
2m-2=2
2m=4
m=2
mrs. temple has just finished grading a quiz for a class of 26 students and has calculated measures of center and spread on the scores. while writing the grades on the quizzes, she realizes she made a mistake, and the highest grade should be 10 points higher. which one of the following sets of measurements will he have to recalculate?
Answers
Measures of central tendency assist in the discovery of a data set's middle, or average. The mean is the only set of measurements that will have to recalculate.
What is the measure of central tendency?Measures of central tendency assist in the discovery of a data set's middle, or average. The mode, median, and mean are the three most popular metrics of central tendency.
Mode: It is the most common value in a given data set.Median: In an ordered data set, the median is the number in the middle.Mean: It is the total number of values divided by the sum of all values.Given that Mrs. temple has just finished grading a quiz for a class of 26 students and has calculated measures of center and spread on the scores. Now, if she made a mistake, the highest grade should be 10 points higher. Therefore, there will be no change in the median because the median is measured by the center value or is affected by the center value.
Also, the mode will not change because it is the most common value in a given data set. Therefore, the one that is repeating a lot of time.
Further, the only value that will change is the mean, because it is the sum of the observations divided by the number of observations, now since the sum is changed, therefore, the mean will be changed.
Hence, the mean is the only set of measurements that will have to recalculate.
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please help!
not sure how to solve 6
write the slope intercept form of the equation of the line through the given point with the given slope
Answers
Answer: x = 1
Step-by-step explanation:
Since the slope is undefined, that means it will be a vertical line. The equation of a vertical line is: x = h, where h is the x-value/coordinate it runs through. Based on your given point (1, 3), the x-coordinate is 1, so that makes the equation of your line x = 1.
x-4 1/3=9 2/3 ive been trying to find the answer to this for hours someone please help
Answers
Answer:
x = 14
Step-by-step explanation:
1. Change the equation to x + -4 1/3 = 9 2/3
2. Add 4 1/3 to each side of the equation to get rid of the -4 1/3
3. You will be left with x = 14
a hexagon inscribed in a circle has three consecutive sides each of length 3 and three consecutive sides each of length 5. the chord of the circle that divides the hexagon into two trapezoids, one with three sides each of length 3 and the other with three sides each of length 5, has length equal to $m/n$, where $m$ and $n$ are relatively prime positive integers. find $m n$.
Answers
According to given conditions, m+n is equal to 409.
Consider the diagram below.
In the hexagon ABCDEF, let
AB = BC = CD = 3;
DE = EF = FA = 5;
Arc BAF is equal to one-third of the circle's circumference.
Hence, ∠BCF = ∠BEF = 60°;
Similarly, ∠CBE = ∠CFE = 60°;
Let the point of intersection of BE and CF be P, BE and AD be Q and CF and AD be R.
∴ Δ EFP and Δ BCP are equilateral, and so Δ PQR is also equilateral.
Also, ∠ BAD and ∠ BED subtend the same arc and so do ∠ ABE and ∠ ADE.
∴ Δ ABQ is similar to Δ EDQ
[tex]\frac{AQ}{EQ} = \frac{BQ}{DQ} = \frac{AB}{ED} = \frac{3}{5}[/tex]
Also,
[tex]\frac{\frac{AD - PQ}{2} }{PQ + 5} = \frac{3}{5}[/tex]
and [tex]\frac{3 - PQ}{\frac{AD + PQ}{2} } = \frac{3}{5}[/tex]
On solving these simultaneous equations, we get AD = 360/49
∴ m + n = 409.
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A stack of one dozen cookies with diameter of 5in. exactly fits in a cylindrical container of volume 176.715 in^3. which is the thickness of each cookie?
Answers
The thickness of each cookie is 0.75 inch.
The cookies are in cylindrical container, hence, the shape of cookies will also be cylindrical. Now, the volume of cylinder is given by the formula : V = πr²h, where V refers to volume, r refers to radius and h represents height.
So, volume of 12 cookies will be equal to the cylindrical container.
Radius of cookies = Diameter÷2
Radius of cookies = 5÷2
Radius of cookies = 2.5 inches
Taking π as 3.14
Volume of a stack of cookies = 3.14×2.5²×h
Volume of a stack of cookies = 19.625h
Relating both the volumes to find the value of h
19.625h = 176.715
h = 176.715 ÷ 19.625
Performing division to find the height
h = 9 inches
So, height of 12 cookies is 9 inches
Height of 1 cookie = 9 ÷ 12
Height of 1 cookie = 0.75 inch
Thus, the thickness of each cookie is 0.75 inch.
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ASAP!!! PLEASE HELPPP!!Write an equation for the following sentence, then solve for the unknown value.
3 times the difference of a number and 8 is less than 15.
Answers
Answer:
3(x - 8) < 15
Step-by-step explanation:
3(x - 8) < 15
3x - 24 < 15
3x < 39
x < 13
What is an equivalent form of 12(p + 5) − 11(3q + 4)?
−21pq + 1
60p − 77q
12p − 33q + 16
12p − 33q + 9
Answers
Answer:
12p − 33q + 16
Step-by-step explanation:
Let's simplify step-by-step.
12(p+5)−11(3q+4)
Distribute:
=(12)(p)+(12)(5)+(−11)(3q)+(−11)(4)
=12p+60+−33q+−44
Combine Like Terms:
=12p+60+−33q+−44
=(12p)+(−33q)+(60+−44)
=12p+−33q+16
=12p−33q+16
A recipe calls for of a cup of milk for 12 cookies. How many cups of milk are needed to make 72 cookies?
Answers
Answer: 6 cups of milk
Step-by-step explanation:
Set-up proportion
[tex]\frac{1}{12} =\frac{x}{72}[/tex]
1*72=72/12=6
6 cups of milk
A line passes through the points (5, 6) and (6, 9). What is its equation in slope-intercept
form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Submit
Answers
Answer:
y = 3 x - 9
Step-by-step explanation:
Find the equation of the line in slope-intercept form with the properties:
point: p_1 = (5, 6)
point: p_2 = (6, 9)
The slope of the line through points (x_1, y_1) and (x_2, y_2) is m = (y_2 - y_1)/(x_2 - x_1):
m = (9 - 6)/(6 - 5) = 3
Substitute the slope m = 3 and point (x_1, y_1) = (5, 6) into the point-slope equation y - y_1 = m (x - x_1):
y - 6 = 3 (x - 5)
Add 6 to both sides:
y = 6 + 3 (x - 5)
Distribute: 3 (x - 5) = 3 x - 15:
Answer: y = 3 x - 9
let v = (2, 3, 1), w = (1, 1, 1), and 3u + 2v 4w = (1, 2, 3). find (a) the vector u (b) the linear combination: 2u 3v + 5w
Answers
The vector u is [tex]\frac{-7}{3} i -\frac{8}{3}j -k[/tex].
The linear combination 2u + 3v + 5w is 19/3 i + 17/3 j + 6k.
According to the given question.
v = (2, 3, 1)
w = (1, 1, 1)
And
3u + 2v + 4w = (1, 2, 3)
From,
v = (2, 3, 1)
⇒ v = 2i + 3j + 1k
w = (1, 1, 1)
⇒ w = i + j + j
a). Let vector u be xi + yj + zk
Here,
3u + 2v + 4w = (1, 2, 3)
⇒ 3u + 2v + 4w = i + 2j + 3k
⇒ 3(xi + yj + zk) + 2(2i + 3j + k) + 4(i + j +k) = i + 2j + 3k
⇒ 3xi + 3yj + 3zk + 4i + 6j + 2k + 4i + 4j + 4k = i + 2j + 3k
⇒3xi + 3yj + 3zk + 8i + 10j + 6k = i + 2j + 3k
⇒ 3xi + 3yj + 3zk = i + 2j + 3k - 8i -10j -6k
⇒ 3xi + 3yj + 3zk = -7i -8j -3k
⇒ xi + yj + zk = (1/3)(-7i -8j-3k)
⇒ xi + yj + zk = [tex]\frac{-7}{3} i -\frac{8}{3}j -k[/tex]
b). The linear combination
2u + 3v + 5w
= 2(-7/3i -8/3j - k ) + 3(2i + 3j + k) + 5(i + j + k)
= -14/3 i -16/3j -2k + 6i + 6j + 3k + 5i + 5j + 5k
= -14/3 i -16/3j -2k + 11i + 11j + 8k
= 19/3 i + 17/3 j + 6k
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The sum of 3 consecutive even numbers is 60. What are they?
Answers
Answer:
18, 20 and 22.
Step-by-step explanation:
Let the lowest number be n, then:
n + n + 2 + n + 4 = 60
3n + 6 = 60
3n = 54
n = 18.
So the other 2 are 20 and 22.
62 + 14 ÷ 2 - 8
Which operation appears first in the given expression?
Which operation did you select first in order to evaluate the expression?
Which operation is not included in the expression?
(the number problom goes with all questions)
Answers
The addition is the operation that appears first, the division is the operation that is selected first in order to evaluate and multiplication is the operation that is not included in the given expression.
The given expression can be evaluated using the BODMAS rule which tells the order of priority to give to solve an equation with multiple operations
BO stands for Bracket off means to solve the bracket first
D stands for division
M stands for multiplication
Stands for addition
S stands for subtraction
Now we should look at the expression given which is 62 + 14 ÷ 2 - 8
Although the addition operation appears first in the given expression, we would select the division operation first that can be bracketed because of BODMAS rule and then addition and then Subtraction at last which results
62 +( 14 ÷ 2) - 8
62 + 7 -8
69 -8
61
Hence, Using the BODMAS rule the expression is solved and the result is 61
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Help please! For highschool algebra! You will get 20 points and no links please :)
Answers
Answer: a. 12x+19
b. 67
Step-by-step explanation:
a. P=a+b+c+d
P=x+7+2x+2+8x+x+10
P=x+2x+8x+x+7+2+10
P=3x+9x+19
P=12x+19
b. P=12(4)+19
P=48+19
P=67
Someone Help please
Answers
Answer:
is B espero que esto te ayude yo también estoy nececicando ayuda con mis trabajos
please answer this its due by 12
Answers
Answer:
4. 4(x+1)
5. 7(d+4)
6. y(y+3)
Answer:
I could be totally wrong but ill tr7
Step-by-step explanation:
4. 12 OR 4x+4
5. 56 (28+28)
6. y^2 + 3y
60 is what percent of 180?
Answers
Answer:
about 33%
Step-by-step explanation:
Answer:e
Step-by-step explanation:
e
Is this answer correct?
Answers
Answer:
yes this is correct
Step-by-step explanation:
this is correct because angle gqh is adjacent to mqk, meaning they are the same degree which would mean kqg and hqm are adjacent