Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number.
11.21 m
34 m
5 m
6 m
Answers
Answer:
755 m²; 785 m²
Step-by-step explanation:
In the picture attached, the prism is shown.
Lateral area = perimeter of base * height
The base is a right triangles, then its perimeter is:
perimeter: 5 + 6 + 11.21 = 22.21 m
Lateral area = 22.21*34 = 755 m²
Surface area = lateral area + 2 (Area of base)
The base is a right triangles, then its area is:
area of base = (1/2)*5*6 = 15 m²
Surface area = 755 + 2*15 = 785 m²
Related Questions
guys i’m begging someone help me please!!!!
Answers
Answer:
x= 35
Step-by-step explanation:
supposing we are finding x, we know that the line in the middle is the dimeter. so we know its a semicircle with an arc of 180 degrees. 180-110=70 divide that by two to get x which is 35.
The length of the hypotenuse of a 30 - 60 - 90 triangle is 16 cm.
Find the length of the other two sides.
Answers
Answer:
8, 8x square root of 3
Step-by-step explanation:
16=2x
x=8
a rectangular field has side lengths that measure 9/10 mile and 1/2 mile. What is the area of the field
Answers
Answer:
9/20, or 0.45 mile.
Step-by-step explanation:[tex]\\[/tex]
To find the area of a rectangle, multiply length times width. In this problem we are given both the length and width.
[tex]\frac{9}{10}[/tex] × [tex]\frac{1\\}{2}[/tex] is just 9/20, which is 0.45.
What is the product?
StartFraction 4 n Over 4 n minus 4 EndFraction times StartFraction n minus 1 Over n + 1 EndFraction
StartFraction 4 n Over n + 1 EndFraction
StartFraction n Over n + 1 EndFraction
StartFraction 1 Over n + 1 EndFraction
StartFraction 4 Over n + 1 EndFraction
Answers
Answer:
Correct option: second one -> n / (n+1)
Step-by-step explanation:
Writting the expression, we have:
[4n / (4n-4)] * [(n-1) / (n+1)]
First we can simplify the numerator of the first part, dividing numerator and denominator by 4:
[n / (n-1)] * [(n-1) / (n+1)]
The first fraction has n-1 in the denominator and the second fraction has n-1 in the numerator, so we can simplify then in the product:
n* [1 / (n+1)] = n / (n+1)
The final expression is n / (n+1), so the correct option is the second one.
The product of the expression, 4n/(4n - 4) × (n - 1)/(n + 1), is: n/(n + 1).
What is the Product of Polynomials?Product is the multiplication of two factors in the simplest form.
Thus:
4n/(4n - 4) × (n - 1)/(n + 1)
[4(n)/4(n - 1)] × [(n - 1)/(n + 1)]
Simplify
n/(n-1) × (n-1)/(n+1)
n/(n + 1)
Therefore, the product of the expression, 4n/(4n - 4) × (n - 1)/(n + 1), is: n/(n + 1).
Learn more about product of polynomial on:
https://brainly.com/question/11333213
If I have a probability of 2/5, what is the percentage of probability.
A. 52%
B. 40%
C. 2.5%
D. 80%
Answers
2 divide by 5= 0.4 which equals to 40%
Answer: 40%
Step-by-step explanation: To write a fraction as a percent, first remember that a percent is a ratio of a number to 100.
So to write 2/5 as a percent, we need to find a fraction equivalent to 2/5 that has a 100 in the denominator.
We can do this by setting up a proportion.
[tex]So[/tex] [tex]we[/tex] [tex]have[/tex] [tex]\frac{2}{5} = \frac{n}{100}[/tex].
Now, we can use cross-products to find the missing value.
So we have (2)(100) which is 200 is equal to (5)(n) or 5n.
So we have 200 = 5n.
Next, dividing both sides of the equation by 5, we have 40 = n.
So 2/5 is equal to 40/100 or 40%.
which value makes the equation
3x - 6 = 36 true?
a) 10
b)12
c)14
d)16
Answers
Answer:
C) 14
Step-by-step explanation:
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
First, add 6 to both sides:
3x - 6 (+6) = 36 (+6)
3x = 36 + 6
3x = 42
Next, divide 3 from both sides:
(3x)/3 = (42)/3
x = 42/3
x = 14
c) 14 is your answer.
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Mrs. Patterson’s bakery sells fruit pastries in packages of 15, while chocolate pastries come in packages of 12. What is the smallest number of each type of package you need to buy to get the same number of both type of pastries? Answer: package (s) of fruits, package (s) of chocolate
Answers
Answer: 4, 5
Step-by-step explanation:
To answer this, first find the lowest common multiple of 12 and 15.
Simplifying 12 and 15 into their factors, we get (2 * 2 * 3) and (5 * 3).
The lowest common multiple is 3.
You can then multiply each package's value by the other's factors, excluding 3. For example, we could multiply 12 by 5 and 15 by 2 * 2.
Both are equal to 60, which is the lowest number of each type of pastry you can buy in equal amounts.
60 / 15 = 4, the amount of packages of fruits needed
60 / 12 = 5, the amount of packages of chocolates needed
Help me please. Im giving 20 points
Brenda is playing hide-and-seek with Cody and Lara. Cody is hiding 16 meters
south of Brenda, and Lara is hiding due east of Cody. If Brenda is 20 meters from
Lara, how far apart are Cody and Lara?
Answers
Answer:
36 meters away
Step-by-step explanation:
If you look at the equation you'll see that Cody is 16 meters away from Brenda and Lara is 20 meters away from Brenda, so if you add those two, you'll get the answer. :)
Answer:
i think they are 36 meters apart
Step-by-step explanation:
16 + 20 = 36
so they are 36 meters away from each other
and you could check your answer by doing 36 - 20 = 16 or 36 - 16 = 20
Hope this helpsRate meBrainliest plzplease respond with the format showed on the picture so use . after the letter and display the answer
Answers
Answer:
a. subtract 7 from 10
Step-by-step explanation:
parenthesis goes before everything in this equation
Which of the following shows the correct solution steps and solution to
3x-2= -11
Answers
Answer:
the third one is correct
Step-by-step explanation:
In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) = x^2 to the number of x-intercepts in the graph of g(x) = -x^2 -5. Be sure to include the transformations that occurred between the parent function f(x) and its image g(x).
Answers
Answer:
f(x) = x^2 has one x-intercept and g(x) = x^2 -7 has two x-intercepts. For f(x) = x^2 to equal g(x) = x^2 -7 you must traslate f(x) = x^2 down seven units.
Can someone help with step by step
Answers
Answer:
b
Step-by-step explanation:
i cant read it
What is the solution to Negative 1 minus 7? A number line going from negative 10 to positive 10. –8 –6 6 8
Answers
Answer:
-8
Step-by-step explanation:
plug it into a calculator. its taking 7 away from an already negative number.
Answer:
-8 correct me if im wrong
Step-by-step explanation:
acute scalene Triangle
right scalene triangle
acute isoceles triangle
right equilateral triangle
Answers
Answer: I hope this helps
Right scalene triangle
Step-by-step explanation:
The triangle that I made with 4cm, 7cm, and 8 cm. had a right angle and also has all unequal sides which is basically the exact definition of a right scalene triangle.
Please mark brainliest if you are satisfied with this answer :)
The bag contains red and white balls.the probability of choosing a red ball is 4/9. Find odds of getting a white ball
Answers
Answer:
well if there are 9 balls and 4 of them are red than the odd of getting a white one is 5/9 which is 55.56%
what is the answer to 6a-15< 2(3a+4)?
Answers
Answer:
3a<38
Step-by-step explanation:
find the missing angle in the triangle
Answers
Answer:
60
Step-by-step explanation:
Since all of the sides of this triangle are shown to be congruent, this must be an equilateral triangle. In an equilateral triangle, all of the angles are equal to 60 degrees. Therefore, x is 60. Hope this helps!
Answer:
60
Step-by-step explanation:
If all sides all have the same angles then we will divide 180 by 3 which will give us our answer 60.
The average wage for an electrician in CA is $25.47/hour. That is 11% above the national average. What is the national average?
a) $22.95
b) $23.99
c) $24.22
d) $25.32
Answers
Answer:
Step-by-step explanation:
let the national average be x
11/100 * x = 11x/100
25.47 - x = 11x/100
100(25.47-x) = 11x
2547 - 100x = 11x
2547 = 11x + 100x
2547 = 111x
x = 2547/111
x = 22.945945945946
22.95
PLEASE HURRY!!!!!!!!! A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). The one-time fixed costs will total $35,070 . The variable costs will be $12 per book. The publisher will sell the finished product to bookstores at a price of $20.75 per book. How many books must the publisher produce and sell so that the production costs will equal the money from sales?
Answers
Answer:
12.5x = 54150
x = 54150%2F12.5
x = 4332 books need to be sold to cover production costs
Step-by-step explanation:
Check:
c = 12.50(4332) + 54150
c = 54150 + 54150
c = 108300
PLEASE HELP ASAP!!
A candy store sells different sized bags of jelly beans. The line plot shows the weights of ten bags.
Weight of Jelly Bean Bags
Answers
Answer:3/8
Step-by-step explanation:1/4 +1/8=3/8
1/4 is equal to 2/8
A student broke this trapezoid into two triangles. She says she has enough information to find the area of it. Is she correct?
Answers
Answer:
Yes.
Step-by-step explanation:
Answer:
Sample response: Yes. The base and height can be determined for both triangles. Use the formula A = 1
2
bh to find the area of each, then add them to get the area of the trapezoid. 10 + 15 = 25 in.2.
Step-by-step explanation:
Find the missing endpoint if the midpoint is at (2,-5) and one endpoint is
at (12,-5).
Answers
Answer:
(-8, -5)
hope this helps you
..........
Match the following.
1. Hormones secreted by the adrenal cortex
2. Glands which are ductless and secrete their products directly into the circulatory system
3. An adrenal hormone (adrenaline) that stimulates autonomic nerve action
4. The hormone secreted by the pancreas which raises the blood sugar level
5. Chemical produced in one part of the body which has its effect on another part
6. A pancreatic hormone which lowers the level of blood sugar
7. The region within the pancreas which produces insulin
8. Four small endocrine glands within the thyroid gland in the neck
9. A hormone secreted by the parathyroid gland which regulates calcium metabolism.
10. A gland in the neck that produces the hormone thyroxine
11. A hormone which regulates the rate of body metabolism
A.parathyroid gland
B.insulin
C.thyroid gland
D.corticoids
E.epinephrine
F.thyroxine
G.parathyroid hormone
H.hormone
I.glucagon
J.islets of Langerhans
K.endocrine gland
Answers
Answer:
D. corticoids 1. Hormones secreted by the adrenal cortex
K. endocrine gland 2. Glands which are ductless and secrete their products directly into the circulatory system
E. epinephrine 3. An adrenal hormone (adrenaline) that stimulates autonomic nerve action
I. glucagon 4. The hormone secreted by the pancreas which raises the blood sugar level
H. hormone 5. Chemical produced in one part of the body which has its effect on another part
B. insulin 6. A pancreatic hormone which lowers the level of blood sugar
J. islets of Langerhans 7. The region within the pancreas which produces insulin
A. parathyroid gland 8. Four small endocrine glands within the thyroid gland in the neck
G. parathyroid hormone 9. A hormone secreted by the parathyroid gland which regulates calcium metabolism.
C. thyroid gland 10. A gland in the neck that produces the hormone thyroxine
F. thyroxine 11. A hormone which regulates the rate of body metabolism
Step-by-step explanation:
Answer:
D.) corticoids #1. Hormones secreted by the adrenal cortex
K.) endocrine gland #2. Glands which are ductless and secrete their products directly into the circulatory system
E.) epinephrine #3. An adrenal hormone (adrenaline) that stimulates autonomic nerve action
I.) glucagon #4. The hormone secreted by the pancreas raises the blood sugar level
H.) hormone #5. Chemical produced in one part of the body which has its effect on another part
B.) insulin #6. A pancreatic hormone which lowers the level of blood sugar
J.) islets of Langerhans #7. The region within the pancreas which produces insulin
A.) parathyroid gland #8. Four small endocrine glands within the thyroid gland in the neck
G.) parathyroid hormone #9. A hormone secreted by the parathyroid gland which regulates calcium metabolism.
C.) thyroid gland #10. A gland in the neck that produces the hormone thyroxine
F.) thyroxine #11. A hormone which regulates the rate of body metabolism
❤ I hope this helps you, ma'am/sir/whatever your pronouns are! ❤
help please now
The table below shows data from a random survey of juice preferences.
Types of Juice Number of People
Orange --------- 75
Apple --------- 110
Kale ---------- 65
Part A
Complete the probability model by listing the probabilities for each event based on the data recorded in the table.
S = { O, A, K}
Events ------------ Probabilities
Prefer orange ----- P(orange)= __ %
Prefer apple ------ P(apple)= __ %
Prefer kale -------- P(kale)= __ %
Part B
Based on the data, estimate how many of 400 juice drinkers will prefer apple juice.
The number of juice drinkers who prefer apple juice is __
Answers
Answer:
Part A
30
44
26
Part B
176
Step-by-step explanation:
Total: 65+110+75 = 250
P(O) = 75/250 × 100 = 30%
P(A) = 110/250 × 100 = 44%
P(K) = 65/250 × 100 = 26%
Apple juice:
44% of 400
44/100 × 400
176
Which is the better buy: one gallon of orange juice for $2.72 or four quarts of
orange juice at $0.48 per quart?
Answers
0.48 per quart is better
Step-by-step explanation:
0.48x4=1.92 < 2.72
Which is the graph of r = 6 cose?
Answers
Evidence everything
For the graphed exponential equation, calculate the average rate of change from x = 1 to x = 4.
-1/3
-5/8
-4/5
-7/8
Answers
Answer:
b
Step-by-step explanation:
Could anyone help me with this please?
Answers
Answer:
2 is -8
Step-by-step explanation:
i'm not sure about the rest sorry good luck
Answer:
2=-8
Step-by-step explanation:
If 1 is -4, and two is twice as much as one, that means that 2 is -8 because that is twice as much as negative 4.
Help ASAP please ! Also explain how you got it
Answers
Answer:
I believe that the answer is C.
Step-by-step explanation:
Collete mapped her vegetable garden on the graph below. Each unit represents 1 foot.
Collete plants an 8-foot row of lettuce in the garden. Which points could tell where the row of
lettuce starts and ends?
(-1,-6) and (8, –6)
(-4, -1) and (-4,7)
(-6, -1) and (-6,8)
(-1,-4) and (7,-4)
Help pls
Answers
Answer:
(-4,-1) and (-4,7)
Step-by-step explanation:
If Collete planted a row of lettuce, that means their coordinates must have the same vertical coordinate, or the same horizontal coordinate. Another important characteristic is that between those points, there must have 8 units of separation, because it's an 8-foot row.
Only the first choice offers these characteristic to properly represent the row of plants with 8 feet distance between the first and the last plant.
Therefore, the answer is (-4,-1) and (-4,7)
