What is the surface area of the triangular prism shown?
A. 860 ft 2
B. 920 ft 2
C. 1,040 ft 2
D. 760 ft 2
Answers
surface area=2*area of the base+perimeter of base*height
area of the base=b*h/2
b=8 ft
h=15 ft
so
area of triangle=8*15/2-------> 60 ft²
perimeter of base=a+b+c
a=15 ft
b=8 ft
c=?
applying the Pythagoras theorem
c²=a²+b²------> c²=15²+8²------> c²=225+64------> 289
c=√289------> c=17 ft
perimeter=15+8+17=40 ft
height of the prism=20 ft
surface area=2*60+40*20------> 920 ft²
the answer is the option
B. 920 ft 2
The Answer to the problem is B. 920 ft 2
Related Questions
Which shows the decimal 0.14 repeated expressed as a fraction in simplest form?
Answers
Which expression represents the calculation “subtract 30 from 40, then multiply by 4"? A) (30 − 40) × 4 B) 40 − (30 × 4) C) 4 − (40 × 30) D) 4 x (40 − 30)
Answers
Help me asap please!!
Answers
b. 20 cups
c. 27 cups
To find the volume of a hemisphere, we must use the formula: 2/3[tex] \pi [/tex][tex] r^{3} [/tex] . Then, to determine how many cups he needs to scoop the water out, we have to find the volume of water that each cup can hold, and divide by the total volume the sink can hold. These processes are shown in the attached image.
anyone can help make sure my answers is right. Thanks
Answers
3. The answer is the green paint jar, because 4/8 is less than 4/6.
4. The answer is flour, because 2/3 is greater than 1/3.
5. You need to give an explanation for how you compare the fractions. Here, you make both denominators (bottom numbers) the least common denominator by multiplying the first fraction by 4/4 and the second by 3/3, which gives you 20/24 and 15/24. Now that they are the same, you can ignore the denominators. 20 is clearly greater than 15.
If the profits in your consulting business increase by 5% one year and decrease by 3% the following year, your profits are up by ____% over two years. How do I solve this question?
Answers
105/100×x=$1.05x
3% reduction in new profits ill give us the latest amount to be:
97/100×1.05x
=$1.0185x
comparing our new profits to our original amount of $x we shall have new percentage increase to be:
(1.0185x-x)/x×100
=1.85%
Thus our final increase 1.85%
Final answer:
To calculate the change in profits over two years with a 5% increase followed by a 3% decrease, the successive percentage change formula was used which resulted in a value 1.85% (approximately).
Explanation:
To solve the question, we need to consider the successive percentage changes in profits over two years. If profits increase by 5% one year and decrease by 3% the following year, we can calculate the overall percentage change using the formula for successive percentage changes.
Let's assume the initial profit is $100. After increasing by 5%, the profit becomes $105. Then, after decreasing by 3%, the profit becomes $105 * (1 - 0.03) = $105 - $3.15 = $101.85. Therefore, over two years, profits are up by 1.85% (approximately).
when 6 less than 3 lots of a number is doubled the result is 18
Answers
The unknown number is 5.
Let's represent the unknown number as "x."
The statement "6 less than 3 lots of a number" can be written as 3x - 6.
The next part of the statement is "doubled the result is 18," which translates to 2 * (3x - 6) = 18.
Now, we can solve for "x" using the equation:
2 * (3x - 6) = 18
Expand the expression on the left side:
6x - 12 = 18
Next, isolate "6x" by adding 12 to both sides:
6x = 18 + 12
6x = 30
Now, solve for "x" by dividing both sides by 6:
x = 30 / 6
x = 5
Therefore, the unknown number is 5.
To verify:
"6 less than 3 lots of 5" is (3 * 5) - 6 = 15 - 6 = 9.
"Double the result" of 9 is 2 * 9 = 18, which matches the given result. Hence, the solution is correct.
Read more about algebraic expressions at:
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I WILL GIVE BRAINLIEST!!!!
A line is shown on the coordinate grid.
Which is the equation of this line?
Question 5 options:
y = -1/3 X + 3
y = -3x - 1
y = 1/3 X - 1
y = 3x + 3
Answers
Because the slope is rise/run and in this case you rise 1 and run 3. And the y-intercept is -1 because that is where the line crosses the y-axis.
hope this helps :)
slope = (0+1)/(3-0) = 1/3
b = -1
equation
y = 1/3(x) - 1
answer
y = 1/3(x) - 1
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP!!!!!!!
WILL GIVE BRAINLIEST AND 15 POINTS!!!
EXPLAIN HOW YOU GOT EVERYTHING, INCLUDING VALUES FOR A, B, C AND D!!!!!!!!!!!!!!!!!!! PLZZZZZZZZZZZZ
Using the two functions listed below, insert numbers in place of the letters a, b, c, and d so that f(x) and g(x) are inverses.
f(x)= x+a
------
b
g(x)=cx−d
Answers
------
b
g(x) = cx - d
flip values of x and y in each equation, then solve for y:
x = y + a
-------
b
y = a - bx
``````````````````````````````````````````````````````````
x = cy - d
y = x + d
-------
c
Answer:
[tex]a = 2; \ d = 2; \ c=1; \ b=1[/tex]
Step-by-step explanation:
Two functions are inverse where their composition results in a variable only:
[tex]f(g(x))=x[/tex]
So, we have to insert the right numbers in place of letters a, b, c and d, to fulfil this definition. Those value would be: [tex]a = 2; \ d = 2; \ c=1; \ b=1[/tex]
Replacing these values, we have:
[tex]f(x)=x+2[/tex]
[tex]g(x)=1x-2=x-2[/tex]
Applying the composition [tex]f(g(x))[/tex]:
[tex]f(g(x))=\frac{cx-d+a}{b}[/tex]
We observe that with this values, these functions are inverse, because it composition results x.
[tex]f(g(x))=\frac{1x-2+2}{1}=x[/tex]
Therefore, the values are [tex]a = 2; \ d = 2; \ c=1; \ b=1[/tex]
I am a number less than 3000. When you divide me by 32, my remainder is 30. When you divide me by 58, my remainder is 44. What number am I?
Answers
.. 798
.. 1726
.. 2654
****UGRENT****A popular board game company hired a group of students to build a gigantic float for an upcoming parade. The main attraction of the float will be two large number cubes. The side length of each number cube must be 18 ft.
How much material is need to cover all sides of both number cubes?
Answers
Answer:3,888
Step-by-step explanation: hope I helped
Categorize these samples as representative or not representative of the given populations.
Answers
1) Tina interviews the school's soccer team about the exercise habits of the students at her school. (implying all the students). This means that Tina only goes to the soccer team instead of the whole school to find out the whole school's exercise habit.
2) Alana also counts as representatives, because she did not interview ALL of the teachers, rather just a selected majority (in this case)
5) For Jeremy, he only interviews 5 students from each class rather than all students
Not Representatives: Each person is given a choice of opinion and does not affect other people.
3) Joe talks to fathers of high school students, which could be larger than just 'representatives', and implies a larger group of people, and is not as selective as having representatives
4) Social Media constitutes of a large group of people, generally larger than a school, and if people take time to take the survey, it will generate a larger test-group. Also, everybody answering the survey would take time to think about themselves, and only represent themselves, and not others.
hope this helps
Answer:
1) Tina interviews the school's soccer team about the exercise habits of the students at her school. (implying all the students). This means that Tina only goes to the soccer team instead of the whole school to find out the whole school's exercise habit.
2) Alana also counts as representatives, because she did not interview ALL of the teachers, rather just a selected majority (in this case)
5) For Jeremy, he only interviews 5 students from each class rather than all students
Not Representatives: Each person is given a choice of opinion and does not affect other people.
3) Joe talks to fathers of high school students, which could be larger than just 'representatives', and implies a larger group of people, and is not as selective as having representatives
4) Social Media constitutes of a large group of people, generally larger than a school, and if people take time to take the survey, it will generate a larger test-group. Also, everybody answering the survey would take time to think about themselves, and only represent themselves, and not others.
Step-by-step explanation:
hope dis help no cap facts gang gang
Use ratio box to solve problem
Five hundred fifty students attended the assembly. If the ratio of boys to girls in the assembly was 5 to 6, how many girls attended the assembly
Answers
Explaination:
The ratio is 5 boys to 6 girls, and a total of 550 students attending. To find the answer you have to multiply both ratio numbers by the same amount to get a correct answer. (See equation below)
[tex](5 \times 50) + (6 \times 50) = 550[/tex]
And to find how many girls and boys simply solve each one (5×50=250 boys) and (6×50=300 girls)
Final answer:
To find the number of girls attending an assembly given a boys-to-girls ratio, divide the total students by the total parts of the ratio and then multiply by the girls' part of the ratio. 300 girls attended the assembly.
Explanation:
Ratios provide us with comparative information. In this case, the ratio of boys to girls is 5 to 6. To find the number of girls, we need to divide the total students by the total parts of the ratio (5 + 6) and then multiply by the girls' part of the ratio:
Calculate total parts of the ratio: 5 (boys) + 6 (girls) = 11.
Divide total students by total parts of the ratio: 550 / 11 = 50.
Multiply by the girls' part of the ratio: 50 (students per part) * 6 (girls) = 300 girls attended the assembly.
A recent survey of 2500 seventh graders from across the state shows 2 out of 5 of them do not eat breakfast. How many of the students surveyed do not eat breakfast?
Answers
Out of the 2500 seventh graders surveyed, 1000 of them do not eat breakfast, based on the proportion of 2 out of 5.
To find out how many seventh graders surveyed do not eat breakfast, we can use the proportion of students who do not eat breakfast from the survey results.
Given:
- Total number of seventh graders surveyed: 2500
- Proportion of seventh graders who do not eat breakfast: [tex]\( \frac{2}{5} \)[/tex]
To find the number of seventh graders who do not eat breakfast, we multiply the total number of seventh graders surveyed by the proportion who do not eat breakfast:
[tex]\[ \text{Number of students not eating breakfast} = \frac{2}{5} \times 2500 \]\[ \text{Number of students not eating breakfast} = \frac{2 \times 2500}{5} \]\[ \text{Number of students not eating breakfast} = \frac{5000}{5} \]\[ \text{Number of students not eating breakfast} = 1000 \][/tex]
Therefore, out of the 2500 seventh graders surveyed, 1000 of them do not eat breakfast.
5 years = ______ months
Answers
Hope this helped ;)
You would do 12×5 which would be 60
What is the surface area of the figure shown? (Use 3.14 for π.)
A. 178.98 in.2
B. 178.98 in.3
C. 235.5 in.2
D. 235.5 in.3
Answers
Select three equations that have no solution.
A.19 + b + 12b – 8 – 5b = 2b – 7 + 3b + 3b – 4
B.4b – 9b – 13 – 6 + 16b = 1 – 8 + 6b + 5b – 12
C.7 + 7b – 2 – 15b + b = 4b – 5 – 11b + 2 + 10
D.10b + 8b + 9 – 18b + 3 = 5 + 6b – 2b – 12 + 7
E.9 – 19b – 9 – 2b + 7b = 4b + 3 + 14 – 4b – 17
F.8b – 10 + b + 3b + 2 = 7 + 2b + 10b – 18 – 3
Answers
b. true
c. false
d. b=3
e. b=0
f. false
Answer: A. C. F.
The three equations that have no solutions are A ,C and F
What is Linear Equation in 1 variable?
The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution
Given data ,
A )
19 + b + 12b – 8 – 5b = 2b – 7 + 3b + 3b – 4
On Simplifying , we get
8b + 11 = 8b - 11
Hence , the option has no solution
B )
4b – 9b – 13 – 6 + 16b = 1 – 8 + 6b + 5b – 12
On Simplifying , we get
11b - 19 = 11b - 19
Adding 19 on both sides , we get
11b = 11b
Divide by 11 on both sides , we get
b = b
Hence , the option has a solution
C )
7 + 7b – 2 – 15b + b = 4b – 5 – 11b + 2 + 10
On Simplifying , we get
- 7b + 5 = - 7b + 7
Hence , the option has no solution
D )
10b + 8b + 9 – 18b + 3 = 5 + 6b – 2b – 12 + 7
On Simplifying , we get
0 + 12 = 4b + 0
4b = 12
Divide by 4 on both sides , we get
b = 3
Hence , the option has a solution
E )
9 – 19b – 9 – 2b + 7b = 4b + 3 + 14 – 4b – 17
On Simplifying , we get
0 - 14b = 0
b = 0
Hence , the option has a solution
F )
8b – 10 + b + 3b + 2 = 7 + 2b + 10b – 18 – 3
On Simplifying , we get
12b - 8 = 12b - 12
Hence , the option has no solution
Therefore , the three equations that have no solutions are A ,C and F
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Zachary is solving the following equation
3/4(x - 8)= 12
Which is the best first step to begin to simplify the equation?
A.Multiply both sides of the equation by 3/4
B.Divide both sides of the equation by 4/3
C.Distribute 3/4 over (x - 8)
D.Distribute 4/3 over (x - 8)
Answers
The first step in a math problem with distribution involved is to take care of the parentheses (PEMDAS). This means you have to distribute 3/4 to the (x - 8).
I hope this helped!
Answer:
C. Distribute 3/4 over (x - 8)
Step-by-step explanation:
There are multiple ways to begin solving this problem.
If we want to cancel the 3/4 without using the distributive property, we would divide both sides by 3/4. Dividing by 4/3 will not cancel it.
When dividing by fractions, we multiply by the reciprocal; this would be multiplying both sides by 4/3. Multiplying by 3/4 will not cancel it.
Using the distributive property, we multiply (x-8) by the number in front of parentheses, 3/4. We cannot distribute 4/3, since it is not part of the equation.
A recipe calls for 2 cup so of flour, 1/4 cup sugar, 1/3 cup milk. What Ismaili the total volume of the three ingredients?
Answers
like, first check for flour, he has 15 cups, i.e. 15/2.5 = 6 cups can be made.
then come to sugar, sugar per cup (if he wants to make 6 cups of recipe) = 16/6 = 2+2/3 (what he has), but he need 2+3/4; so not available.
So, ans =5
please help i will mark brailiest
Answers
Answer:
its 49
Step-by-step explanation:
By what percent will a fraction increase if its numerator is increased by 60% and its denominator is decreased by 20%?
Answers
= 160% * 5/4
= 200%
Rewrite the following equation in slope-intercept form. 3x − 18y = 20 Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answers
y = (1/6) x - (10/9)
Explanation:
The slope-intercept form has the following formula:
y = mx + c
where:
m is the slope
c is the y-intercept
The given is:
3x - 18y = 20
To put this in slope-intercept form, we will need to isolate the y as follows:
3x - 18y = 20
18y = 3x - 20
y = (3/18) x - (20/18)
y = (1/6) x - (10/9)
where:
m is the slope = 1/6
c is the y-intercept = -10/9
Hope this helps :)
3x = 20
X = 20/3
X = 0
-18y = 20
Y = 20/-18
Simplified equal
10/-9
if a 42.9ft tall flagpole casts a 253.1ft long shadow then how long is the shadow that a 6.2ft tall woman casts?
Answers
flagpole/shadow = woman/her shadow.
f/s1 = w/s2
f = 42.9
s1 = 253
w = 6.2
s2 = ??? = x
42.9/253 = 6.2 / x
42.9 x = 253*6.2
42.9 x = 1568.6
x = 1568.6 / 42.9
x = 36.56 The womans shadow is 36.56 feet long <<<< ===== answer.
If a large Rubik's cube has a volume of 1331 cubic inches what is its surface area ?
Answers
Triangle ABC has vertices A(5, 3) , B(3, 7) , and C(1, 4) . Triangle ABC is dilated, and the vertices of the image are A′(1.25, 0.75) , B′(0.75, 1.75) , and C′(0.25, 1) . The center of dilation is the origin.
What is the scale factor of the dilation?
A.) 0.25
B.) 0.5
C.) 2
D.) 4
Answers
To find the scale factor, we need to determine how the points are changing.
Point A is changing from (5, 3) to (1.25, 0.75). Therefore, we can write the following two equations using K as the scale factor.
5k = 1.25 or 3K = 0.75
Solving either equation will give you a scale factor of 0.25.
Good luck,
MrEQ
You buy a watch for $60. There is a 6% sales tax. What is your total cost for the watch?
Answers
hope this helps
PLEASE HELP ASAP!!!
A circular sinkhole has a circumference of 75.35 meter. A week later, it has a circumference of 150.42 meters.
a.) Estimate the diameter of the sinkhole each week
b,) How many times greater is the diameter of sinkhole now compared to the previous week?
Please explain your anwser ( i didn't understand the part about EACH WEEK)
Thanks in advance!
Answers
[the length of a circumference is]=2*pi*r
r=[length of a circumference]/(2*pi)
Part a)
a.) Estimate the diameter of the sinkhole each week
Let
first week----------> previous week
second week-----> actual week (now)
for the first week
length=75.35 m
r=75.35/(2*pi)---------> r1=12 m
Diameter=2*r---------> D1=2*12---------> D1=24 m
for the second week
length=150.42 m
r=150.42/(2*pi)---------> r2=23.95 m
Diameter=2*r---------> D2=2*23.95---------> D2=47.90 m
Part b)
b,) How many times greater is the diameter of sinkhole now compared to the previous week?
[diameter of sinkhole now compared to the previous week]=D2/D1
= 47.9/23.95----------> 2
the answer Part b)
the diameter of sinkhole now compared to the previous week is 2 times greater
Final answer:
Using the circumference formula, the estimated diameters of the sinkhole are approximately 24 meters for the first week and 48 meters for the second week. The diameter in the second week is 2 times greater than in the first week.
Explanation:
The question asks for the estimation of diameters of a circular sinkhole at two different times based on their circumferences and how much greater the diameter is in the second week as compared to the first week.
To estimate the diameter of the sinkhole, we use the formula for the circumference of a circle, which is C = πd, where C is the circumference and d is the diameter. We rearrange the formula to solve for the diameter, giving us d = C/π. Using π ≈ 3.14, we calculate the diameter for each week. In the first week, the diameter is approximately 75.35 meters/3.14 = 24 meters, and in the second week, it's approximately 150.42 meters/3.14 = 48 meters.
To find how many times greater the second diameter is compared to the first, we divide the second diameter by the first diameter: 48 meters/24 meters = 2. This means the diameter of the sinkhole in the second week is 2 times greater than the first week.
The sketch shows two parallel lines cut by a transversal. Angle 1 is 58°. What is the measure of angle 7?
Answers
we have that
m∠1=58°
m∠7=?
we know that
m∠1+m∠3=180°------------> supplementary angles
and
m∠3=m∠7--------------------> corresponding angles
then
m∠3=180°-m∠1-----------> m∠3=180°-58°=122°
m∠7=m∠3=122°
the answer is m∠7=122°
The measure of angle 7 for the given set of parallel lines with given measure of angle 1 as 58 degrees is equal to 122°.
Here line m is parallel to line n and 'q' is the transversal.
In general, when two parallel lines are cut by a transversal, any pair of corresponding exterior angles are congruent.
Angles 1 and 5 are corresponding pair of exterior angles, which are always congruent.
So, the measure of angle 5 is the same as the measure of angle 1, which is 58°.
And measure of angle 5 and angle 7 are linear pair .
This implies,
Measure of ( angle 5 + angle 7 ) = 180°
⇒Measure of angle 7 = 180° - 58°
⇒Measure of angle 7 = 122°
Therefore, the measure of the angle 7 is equal to 122 degrees.
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The above question is incomplete, the complete question is:
The sketch shows two parallel lines cut by a transversal. Angle 1 is 58°. What is the measure of angle 7?
Attached figure.
What is the solution to this equation
Answers
X= 0
Y= 15
Hope this help
Answer with explanation:
⇒The given equation of line in two variable is :
y = 10 x + 15
If we have to find the solution of the equation of a unique line,as on a line there are infinite number of points lying on it.
So, Line, y=10 x + 15, has infinite number of solution.
Substituting different value of , x we will get different value of y,and by Substituting Different values of y, we will get different values of x.
→→If, x=k, then solution set of line, y=10 x + 15 ,will be,
(x,y)=All the points lying on the line, that is of the form,(k, 10 k +15).
PLEASE HELP ME!!! Will mark brainliest
a) A two-digit number is 18 more than that number reversed. What could that number be? List all possibilities.
b) The sum of digits in a two-digit number is 14. If you double the reversed number and add the result to the original number, the sum would be 222. Find the original number.
c) The sum of the digits of an odd 2-digit number is 17. What is the number?
Answers
B. 86
C. 89
Josh book has 64 pages. Josh read 27 pages in the morning He reads 18 more pages that night How many pages does josh need to read to finish the book
Answers
Final answer:
Josh has read a total of 45 pages after reading 27 pages in the morning and 18 at night. With 64 pages in the book, he needs to read 19 more pages to finish it.
Explanation:
Josh's book has 64 pages in total. He read 27 pages in the morning and 18 more pages at night. To calculate the number of pages Josh still needs to read to finish the book, we do some quick math:
Add the number of pages read in the morning to the number read at night: 27 pages + 18 pages = 45 pages.Subtract the total number of pages read from the total number of pages in the book: 64 pages - 45 pages = 19 pages.Therefore, Josh needs to read 19 more pages to finish his book.