Given a right prism where p is the perimeter of the base, h is the height, BA is the area of the bases, and LA is the lateral area, what is the surface area?
Check all that apply.Mulitple answers not just one answer!
A. SA=16-LA
B. SA=BA+LA
C. SA=1/2 16+LA
D. SA=BA+ph
E. SA=p+LA
Answers
p ----------------> is the perimeter of the base
h ---------------> is the height
BA-------------> is the area of the bases
LA--------------> is the lateral area
we know that surface area is the sum of base areas plus lateral areas
then
SA=[BA]+P*h
but remember that
LA=P*h
then
SA=[BA]+LA----------> SA=BA+LA
the answer are the options B.) SA=BA+LA and the option D.) SA=BA+ph
Answer:
SA= BA+ph
SA= BA+LA
Step-by-step explanation:
Just did this question on APEX.
Related Questions
Azul spun a tri-color spinner twice. What is the probability that the spinner landed on the colors blue and green in any order?
Answers
The outcomes on spinning the spinner twice will be:
(Blue, Blue), (Blue,Green), (Blue,x), (Green, Green), (Green, Blue), (Green, x), (x,x), (x,Blue), (x, Green)
Total number of outcomes = 9
We want to find the probability that spinner lands on the colors blue and green in any order. The favorable outcomes thus will be:
(Blue, Green) and (Green, Blue)
Number of favorable outcomes = 2
The probability that the spinner landed on the colors blue and green in any order = 2/9
So, this means there are a 2 in 9 chances that the spinner landed on the colors blue and green in any order?
Answer:2/9
Step-by-step explanation:
△ABC has interior angles with measures x°, 90°, and 70°, and △DEF has interior angles with measures y°, 70°, and 20°. Using the given information, which statement is true?
a The triangles are similar because they each have an interior angle with a measure 70°.
b The two triangles are not similar because the interior angles are congruent but
the side lengths are different.
c The two triangles are similar because y=90 .
d The two triangles are not similar because x≠y .
Answers
Answer:
c
Step-by-step explanation:
i took the test
Find the next three terms of the sequence.
–6, –24, –96, –384, . . . (1 point)
–768, –1,536, –3,072
–768, –3,072, –12,288
–1,536, –6,144, –24,576
–1,536, –9,216, –36,864
Answers
6, 24, 96, 384, 1536, 6144
you are multiplying each term by 4 to get the next term,
so (384)(4) = 1536 and (384)(4)(4) = 6144 would be the next two terms.
1,2,5,6,9,10,13 (you are to add 1, you add 3, you add 1, you add 3, ...)
1st: 6
2nd: 6*-4 = -24
3rd: 6*(-4)^2 = 96
4th: 6^(-4)^3 -384
5th: 6*(-4)^4
6th: 6*(-4)^5
7th: 6*(-4)^6
Solve the equation n+6.5=20. Then write a real-world problem that involves adding these two quantities
Answers
-6.5 -6.5
n = 13.5.
B. Soni was counting how much money was in her piggy bank. After inserting $6.50, the total of her savings was $20.0. How much money did Soni have before she inserted the $6.50? ($13.50)
the sum of two numbers is 83. The difference of the 2 numbers is 13. What is the product of the two numbers?
Answers
The product of the two numbers whose sum and difference is 83 and 13 respectively is 1680.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is that the sum of two numbers is 83 and the difference of these two numbers is 13.
Assume that the numbers are [x] and [y] respectively. Then -
x + y = 83 ...[1]
and
x - y = 13
x = 13 + y
Substitute (x = 13 + y) in Equation [1], we get -
13 + y + y = 83
2y = 70
y = 35
Therefore, [x] will be equivalent to -
x = 13 + 35
x = 48
Now, the product of [x] and [y] will be -
xy = 35 x 48 = 1680
Therefore, the product of the two numbers whose sum and difference is 83 and 13 respectively is 1680.
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which benchmark fraction could you use to estimate the prodict of 36 x 11/16
Answers
benchmark fractions are commonly used for estimation.
[1/2 1/3 1/4 3/4 2/3]------------> are all benchmark fractions
we have that
36 x 11/16
11/16 is about 12/16 which is 3/4
the answer is 3/4
Which of the following describes a correct method for finding the sum -7/2+3/4
A. Write the sum of the numerators over the sum of the denominators. Simplify.
B. Rewrite using the LCD. Write the sum of the numerators over the sum of the denominators. Simplify
C. Rewrite Using the LCD. Write the sum of the numerators over the common denominator. Simplify
D. Rewrite using the LCD. Write the difference of the numerators over the common denominator. SImplify
Answers
Rewrite Using the LCD
-7/2+3/4 = -14/4 + 3/4
Write the sum of the numerators over the common denominator:
-14/4 + 3/4 = 11/4
Simplify
11/4 = 2 3/4
Kallisto built a rectangle sign that measured 2 3/4 feet in length by 1 1/2 feet in width. To find the area multiply the length and width. What is the area of the sign in square feet to write any Quetion to solve. Please help me this is due tomorrow.
Answers
Mixed number form is 3 7/10
Don’t know if you needed that, just though I’d put it out there, though.
Mike owns two hardware stores. The scatterplots show the number of items sold at a specific price for each store for one week. Which store has more sales revenue ($$)?
A) Store #1
B) Store #2
C) The stores bring in the same amount of sales.
D) This cannot be determined from the scatterplots.
Answers
The revenue from store1 is more. The correct option is A.
What is a scatter plot?A scatter plot is a form of plot or mathematical diagram that displays values for two variables for a collection of data using Cartesian coordinates. One more variable can be presented if the points are programmed.
As per the given Scatter plot the revenue for a store can be calculated by adding the revenue collected by the shop from each particular product.
And to calculate the revenue collected by the store from each particular product, multiplying the cost of a single item to its corresponding price.
Therefore, the revenue from each of the store are:
The revenue collection for store1 is $35,100.
The revenue collection for store2 is $29,800.
Since 35,100>29,800, therefore, the revenue from store1 is more.
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The complete question is:
Mike owns two hardware stores. The scatterplots show the number of items sold at a specific price for each store for one week. Which store has more sales revenue ($$)?
A) Store #1
B) Store #2
C) The stores bring in the same amount of sales.
D) This cannot be determined from the scatterplots.
The Scatterplot for the two stores are mentioned in the images.
if someone could help me, it’d be great!
Answers
A as the first letter
B as the second letter
C as the third letter
The order is important
Similarly with EFG we hae
E as the first letter
F as the second letter
G as the third letter
The order is also important
Based on the orderings, we can say
A corresponds to E
B corresponds to F
C corresponds to G
Which means
A rotates to E
B rotates to F
C rotates to G
The final answer is choice C) Angle C
since we're looking for the angle that rotates or maps to angle G
tom works for a manufacturing plant and makes $7.00 per hour. Last week he worked 49 hours.for the hours above 40,he receives time-and-a-half. what did tom earn last week?
Answers
40×7=280
7÷2=3.5
9×3.5=31.5
31.5+280=311.5
Or You could do this
(40×7)+(3.5×9)=311.5
what is the area of this shape
Answers
A = 252 + 117
A = 369
answer
369 m^2
hope it helps
Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weekly salary is $900. For each salesman, write an equation showing the relationship between their weekly paycheck amount, p, and the number of sales, s, they had that week. Graph the three equations you just wrote for each salesman if they have between 0 and 20 sales in a week. Graph all three equations on the same graph . Make sure you label each line with the salesman it represents, as well as label the axes. Note: The independent variable is s, and the dependent variable is p.
Answers
Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300.
Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn.
Salesman C does not earn any commission. His weekly salary is $900.
Salesman A: 1300 ≤ 65S
Salesman B: P = 40S + 300
Salesman C: P = 900
Salesman A can only have 20 sales. 1,300/65 = 20. It should not go beyond that because it will go beyond the limit of 1,300 per week.
Salesman B will earn 1,100 for 20 sales. P = 40(20) + 300 = 800 + 300 = 1,100.
Salesman C will earn 900 regardless if he had 0 or 20 sales for the week.
You can do your own graph using my equations.
There are 64 teams in the march madness basketball tournament. By the time it is finished how many total number of games will have been played?
Leave the steps on how to solve in your answer please and thank you
Answers
which one of the following tables is a relation that represents a function?
Answers
Table 3
Explanation:
For a relation to be a function, each x value should have only one corresponding y value.
Now, let's check the givens:
Table 1:
x = 1 has two corresponding y-values. Therefore, this is not a function
Table 2:
x = 10 has two corresponding y-values. Therefore, this is not a function.
Table 3:
each x value has only one corresponding y-value. Therefore, this one is a function
Table 4:
x = 7 has two corresponding y-values. Therefore, this is not a function.
Hope this helps :)
Rewrite the following equation in slope-intercept form. 17x + 15y = 5 Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answers
y = [tex] \frac{-17}{15} x[/tex] + [tex] \frac{1}{3} [/tex]
Explanation:
The slope-intercept form of the equation has the following formula:
y = mx + c
where:
m is the slope
c is the y-intercept
The given is:
17x + 15y = 5
To put it in the slope-intercept formula, we should isolate the y as follows:
17x + 15y = 5
15y = -17x + 5
y = (-17/15) x + (5/15)
y = [tex] \frac{-17}{15} x[/tex] + [tex] \frac{1}{3} [/tex]
where:
m is the slope = -17/15
c is the y-intercept = 1/3
Hope this helps :)
Final answer:
Slope-intercept form of the equation 17x + 15y = 5 is y = (-17/15)x + 1/3, with a slope of -17/15 and a y-intercept of 1/3.
Explanation:
To rewrite the equation 17x + 15y = 5 in slope-intercept form, which is y = mx + b where m is the slope and b is the y-intercept, follow these steps:
Subtract 17x from both sides of the equation: 15y = -17x + 5.Divide both sides of the equation by 15 to solve for y: y = (-17/15)x + 5/15.Simplify the fractions to get the final form: y = (-17/15)x + 1/3.Here, the slope (m) of the line is -17/15, and the y-intercept (b) is 1/3.
what is the anwser to x^2-9x-22=
Answers
help meeeeeeeeeeeeeeeeeeeeee
Answers
Y= -2
X= -4
Don’t even thank :))
For this case what you should do is see the intersections with each of the axes and then join the ordered pairs.
We have then:
For the x axis:
y = 0
Substituting in the equation:
x + 2 (0) = - 4
x + 0 = -4
x = -4
For the y axis:
x = 0
Substituting in the equation:
x + 2y = -4
0 + 2y = -4
y = -4 / 2
y = -2
We graph the ordered pairs:
(x1, y1) = (- 4, 0)
(x2, y2) = (0, -2)
Answer:
See attached graph.
The area of a square garden is 50 m². How long is the diagonal? 100 m mc028-1.jpg m 25 m 10 m
Answers
Answer:
Option D, 10m
Step-by-step explanation:
The area of a square garden is 50 m²
We have to find the diagonal of the square garden by Pythagoras theorem.
Since ( diagonal )² = 2(side)²
( diagonal )² = 2 × area
= 2 × 50 = 100 m²
diagonal = √100
= 10 meter
Option D., 10m is the answer.
On Monday it snowed 9 inches. The next day it snowed 1/2 that amount. How much did it snow on the second day?
Answers
351.68 rounded to the nearest hundredth?
Answers
351.68 is already rounded to the nearest hundredth. The digit in the hundreds place is 8.
Hope this helps! Tell me if you meant something else ;)
Use the formula SA=6s2 , where SA is the surface area and s is the edge length of the cube, to solve this problem. Eliz must cover a cube-shaped box with giftwrap. The edge length of the box is 6 1/2 inches. What is the surface area of the box?
Answers
find the equation of the line given two points. (2,1), (5,2). y=?
example answer: (4,0), (5,2). y=2x-8
please help. ive been on this problem for almost an hour now
Answers
Note: the slope is 1/3 and the y intercept is 1/3
------------------------------------------------------
Explanation:
First we need the slope of the line through the two points. Use the slope formula
m = (y2 - y1)/(x2 - x1)
m = (2-1)/(5-2)
m = 1/3
The slope is m = 1/3
Use this slope, along with one of the points. I'll use the point (x,y) = (2,1). Plug these three values into the equation y = mx+b and then solve for b
y = mx+b
1 = (1/3)(2)+b
1 = 2/3+b
1-2/3 = 2/3+b-2/3
1 - 2/3 = b
b = 1 - 2/3
b = 3/3 - 2/3
b = 1/3
So the slope and y intercept are
m = 1/3
b = 1/3
Therefore the equation is [tex]y = \frac{1}{3}x+\frac{1}{3}[/tex]
PLZ HELP!!!!!! (WILL GIVE BRAINLIEST!!!!)
Answers
The distance from Caleb's house to the school is 1.5 miles, and the distance from Ashley's house to the school is 3520 feet. Who lives closer to the school, Caleb or Ashley? Use numbers and words to support your answer.
Answers
Hi there!
To solve this problem, first we need to convert everything into feet.
1.5 mi = 7920 ft
Since
7920 is greater than 3520,
Ashley lives closer to the school.
Hope this helps!
Factor the expression 28r + 42s -35
Answers
7(4r + 6r - 5)
We can't factor anymore.
Answer:
7(4r + 6r - 5)
Step-by-step explanation:
Find an angle at home. Measure the angle. Record the measure. Classify the angle.
Answers
A point undergoes two transformations. The x-coordinate's sign changes and the y-coordinate increases. What were the transformations?
The point was reflected over the y-axis and translated down.
The point was reflected over the x-axis and translated to the right.
The point was reflected over the y-axis and translated up.
The point was reflected over the x-axis and translated to the left.
Answers
Answer:
(C) The point was reflected over the y-axis and translated up.
Step-by-step explanation:
Which quadrants have an abscissa and ordinate that has the same sign?
A. Quadrants I and II
B. Quadrant II and IV
C. Quadrants I and III
Answers
Sam typed 420 words in 10 minutes if he continues to type at his rate how many words will he have typed in 3 hours
A. 756
B.1,260
C.2,520
D.7,560
Answers
420/10= 42
42 words per min
42*180= 7560
Answer-
At this rate Sam will be able to type 7,560 words in 3 hours.
Sam can type 7,560 words in 3 hours if he continues typing at the same speed that is 420 words in 10 minutes.
Explanation:The problem is asking to find out how many words Sam can type in 3 hours if he continues at the rate of typing 420 words in 10 minutes. First, we need to convert 3 hours to minutes since the typing speed is given in terms of minutes. There are 60 minutes in an hour, so 3 hours equals 180 minutes. Typing speed is calculated by dividing the total number of words by the total time. In this case, Sam's typing speed is 420 words / 10 minutes = 42 words per minute. Considering his typing speed, in 180 minutes (3 hours), he should be able to type 42 words per minute * 180 minutes = 7560 words. Therefore, the correct answer is D.7,560.
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