Answers
Step-by-step explanation:
surface area = (2*0.5*12*8) + (2*10*10) + (12*10)
= 96 + 200 + 120
= 416 cm^2
Related Questions
A certain lot consisting of ten items has three defective items and seven nondefective items. How many possible subsets of 2 items can be chosen from this lot?
21
45
90
Answers
Answer:
45
Step-by-step explanation:
The order in which the items are chosen is not important. So we use the combinations formula to solve this question.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
How many possible subsets of 2 items can be chosen from this lot?
Combinations of 2 from a set of 10. So
[tex]C_{10,2} = \frac{10!}{2!(10-2)!} = 45[/tex]
Answer:
45
Step-by-step explanation:
Solve for the missing side
Answers
Answer:
c
Step-by-step explanation:
can someone tell me how to do this
Answers
Answer:
must not be
Step-by-step explanation:
The whole thing equals 360 degrees
Angle B and Angle D are equal; which equals 190 degrees.
Add Angle A to 190 degrees; which is 86 + 190 = 276.
Subtract 360, which is what the whole thing equals, and 276, which is the known angle added together, and you get 56.
In order for this to be a parallelogram, the opposite angles need to be equal.
Since they are not, the answer is must not be.
Bob has taken out a loan of $15,000 for a term of 48 months (4 years) at an interest rate of 6.5%. Using the amortization table provided, what will be his total finance charge over the course of his loan?
Monthly Payment per $1,000 of Principal
Rate 1 Year 2 Years 3 Years 4 Years 5 Years
6.5% $86.30 $44.55 $30.65 $23.71 $19.57
7.0% $86.53 $44.77 $30.88 $23.95 $19.80
7.5% $86.76 $45.00 $31.11 $24.18 $20.04
8.0% $86.99 $45.23 $31.34 $24.41 $20.28
8.5% $87.22 $45.46 $24.65 $24.65 $20.52
9.0% $87.45 $45.68 $31.80 $24.89 $20.76
A.
$355.65
B.
$975.00
C.
$1,682.40
D.
$2,071.20
E.
$17,071.20
Answers
The total finance charge over the course of his loan is $2071.20.
It is required to find the total finance charge.
What is simple & compound interest?Simple Interest can be defined as the sum paid back for using the borrowed money, over a fixed period of time. Compound Interest can be defined as when the sum principal amount exceeds the due date for payment along with the rate of interest, for a period of time. Formula. S.I. = (P × T × R) ⁄ 100.
Given that:
Loan= $15,000
The table tells you that Bob's monthly payment on a 4-year loan at 6.5% will be 23.71 per thousand borrowed.
The sum of those 48 payments is ...
=48 × $23.71 =
=$1138.08
That means, Bob pays $138.08 in total finance charge for each $1000 he borrows. He is borrowing 15 times $1000.
so his total finance charge will be
= 15 × $138.08
= $2071.20
Therefore, the total finance charge over the course of his loan is $2071.20.
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Answer:
D.
$2,071.20
Step-by-step explanation:
[tex]3\sqrt[5]{(x+2)^3}+3=27[/tex]
Show all work
Answers
Answer:
Step-by-step explanation:
[tex]3\sqrt[5]{(x+2)^{3}}+3=27[/tex]
[tex]3\sqrt[5]{(x+2)^{3}}=27-3[/tex]
[tex]ln 3\sqrt[5]{(x+2)^{3}}= ln 24[/tex]
[tex]ln 3 + ln\sqrt[5]{(x+2)^{3}}= ln 3 + ln 8[/tex]
[tex]ln\sqrt[5]{(x+2)^{3}}= ln 8[/tex]
[tex]\frac{3}{5} ln(x+2)= ln 8[/tex]
[tex]ln(x+2)=\frac{5}{3} ln 8[/tex]
x + 2 = [tex]\sqrt[3]{8^{5}}[/tex]
x = [tex]\sqrt[3]{8^{5}}[/tex] -2
What was the percentage decrease in the number of accidents between 1950 and 1976?
Answers
Answer:
the percentage decrease in the number of accidents between 1950 and 1976 is (25.9)
type an equation for the line shown in the graph
Answers
So technically x+2=y
Find the first four terms in the sequence an=15+6n.
A. 18, 12, 6, 0
B. 20, 26, 32, 38
C. 21, 27, 33, 39
D. 20, 14, 8, 2
Answers
The first four terms in the sequence an=15+6n are 21, 27, 33, and 39.
The correct option is C. 21, 27, 33, 39
From the question, the equation to calculate the nth term is given which is
an=15+6n.
Now, let a1, a2, a3 and a4 denote the first, second, third and fourth terms respectively.
For the first term, a1
n = 1,
From the given equation, an=15+6n
∴ a1 = 15 + 6(1)
a1 = 15 + 6
a1 = 21
∴The first term is 21
For the second term, a2
n = 2,
From the given equation, an=15+6n
∴ a2 = 15 + 6(2)
a2 = 15 + 12
a2 = 27
∴The second term is 27
For the third term, a3
n = 3,
From the given equation, an=15+6n
∴ a3 = 15 + 6(3)
a3 = 15 + 18
a3 = 33
∴The third term is 33
For the fourth term, a4
n = 4,
From the given equation, an=15+6n
∴ a4 = 15 + 6(4)
a4 = 15 + 24
a4 = 39
∴The fourth term is 39
Hence, the first four terms in the sequence an=15+6n are 21, 27, 33, and 39.
The correct option is C. 21, 27, 33, 39
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How many tangents that are common to both circles can be drawn?
A.1
B.2
C.3
D.4
Answers
Answer:
D. 4
Step-by-step explanation:
If there are 2 circles drawn in space but not intersecting each other or touching each other at all, there are 4 common tangents.
I hope this helped and have a good rest of your day!
.- Alicia tiene una finca de 1 km2 de superficie. Dedica 28 hm2 a cultivar trigo, 3.900 dam2 a plantar olivos y el resto lo ha plantado de girasoles.¿ Cuántos metros cuadrados ocupan los girasoles?
Answers
Answer:
330 000 m²
Step-by-step explanation:
1. Area of farm
[tex]A = \text{1 km}^{2} \times\left (\dfrac{\text{1000 m}}{\text{1 km}} \right )^{2}= \text{1 000 000 m}^{2}[/tex]
2. Area for wheat
[tex]A = \text{28 hm}^{2} \times \left (\dfrac{\text{100 m}}{\text{1 hm}}\right)^{2} = \text{280 000 m}^{2}[/tex]
3.Area for olive trees
[tex]A = {\text{3900 dam}^{2} \times \left (\dfrac{\text{10 m}}{\text{1 dam}}\right )^{2}}= \text{390 000 m}^{2}[/tex]
4. Area for sunflowers
Total area = 1 000 000 m²
- Area for wheat = 280 000 m²
- Area for olive trees = 390 000
670 000
Area for sunflowers = 330 000 m²
Sunflowers occupy 330 000 m².
Identifying Characteristics Determine the statements that characterize cylinders and cones. Check all that apply. Cylinders have two circular bases. Cones have one circular base. The lateral area of a cylinder is a triangle. The lateral area of a cone is a rectangle. The lateral area of a cylinder is related to circumference of the circular bases.
Answers
Answer:
a,b, and e
Step-by-step explanation:
i did the lesson on edge2020
a) -3 · x = -21
b) -7x + 16 = 2x - 20
help pls
Answers
b) x=4, you add 7x to both sides to get all the x on one side, you then add 20 to both sides to get all constants on both sides. lastly, you divide by 9 to get x by itself.
x=-21/-3
x=7
b) -7x+16=2x-20
-7x-2x=-20-16
-9x=-36
x=-36/-9
x=4
What is 1200 milligrams converted into grams
Answers
Answer:
The answer is 1.2 grams.
Step-by-step explanation: So 1,000 milligrams is 1 gram. So to get this answer you divide 1200 milligrams by 1000 and that gives you 1.2 grams for 1200 milligrams.
20 is what percent of 60
Answers
Answer:
30%
Step-by-step explanation:
Answer:
33.333333333333%
Step-by-step explanation:
Which function has the same range as f(x)=-2√x-3+8?
Answers
Answer:
[tex]g(x)=-\sqrt{x+3}+8[/tex]
Step-by-step explanation:
got it right
g(x) = - √x + 3 +8 has the same range.
What is the range of a function simple?The variety of a feature is described as a set of solutions to the equation for a given input. In different words, the range is the output or y fee of a characteristic. There is the most effective range for a given function.
What is range in a relation?The set which contains all the first elements of all the ordered pairs of relation R is known as the domain of the relation.
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Solve algebraically
x-4y=-10
x+y=5
Answers
Answer:
if x+y=5, then x=5-y
so x-4y=-10
5-y-4y=-10
5-5y=-10
-5y=-15
y=3
x=5-y
x=5-3
x=2
x=2; y=3
Given a triangle with side lengths 4.1 and 1.3, what is the range of possible sizes for x
Answers
Answer:
2.8-5.4
Step-by-step explanation:
4.1 minus 1.3 =2.8 4.1+1.3= 5.4 the answer will look like x<x< or something with the numbers idk for sure how it will look but i know the numbers are right
What is the value of the expression below ? 2[32-(4-1)]
There is a 3 in between the ) 3 ] but it looks like square / cubes something
Answers
The value of the expression [tex]2[32-(4-1)][/tex] is [tex]58[/tex] by simplifying.
SimplificationSimplification is the process of replacing a mathematical expression with an equivalent one, that is simpler and usually shorter.
How to simplify an algebraic expression?Apply the BODMAS rule to simplify the algebraic expression.
Given that the expression is [tex]2[32-(4-1)][/tex]
First, simplify the bracket [tex](4-1)[/tex]
Then, [tex]2[32-(4-1)]=2[32-3][/tex]
Simplify the bracket [tex][32-3][/tex]
Then, [tex]2[32-3]=2[/tex] × [tex]29[/tex]
Multiply the numbers [tex]2[/tex] and [tex]29[/tex]
[tex]2[/tex] × [tex]29=58[/tex]
Hence, the expression [tex]2[32-(4-1)][/tex] is simplified to [tex]58[/tex].
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A fair die is thrown. What is the probability that the score is not a factor of 6?
0000
5/6
1/6
2/3
1/2
Answers
Answer:
[tex]\frac{1}{3}[/tex] chance.
Step-by-step explanation:
The only factors of 6 on a die is 1, 2, 3, and 6
The chance of getting 4 or 5 (not factors of 6) is [tex]\frac{2}{6} =\frac{1}{3}[/tex] chance.
(None of the options you gave is correct)
The probability of getting numbers which is not a factor of 6.
[tex]P(E)=\frac{2}{6}=\frac{1}{3}[/tex]
To understand more, check below explanation.
Probability :The numbers on die which is factors of 6 is,
1,2,3,6
So that, numbers on die which is not factor of 6 is, 4 and 5.
We have to find probability that the score is not a factor of 6.
Total number of favorable outcomes = 2
Total outcomes = 6
Probability that the score is not a factor of 6,
[tex]P(E)=\frac{2}{6}=\frac{1}{3}[/tex]
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Ronny is selling coffee mugs for $3.00. So far, he has earned $228.00. Ronny needs to earn more than $372.00 in order to meet his sales goal. How many more coffee mugs, x, does Ronny need to sell in order to reach his sales goal?
Answers
Answer:
He needs to sell at least 49 mugs.
Step-by-step explanation:
Since Ronny earned $228 and needs to earn more than $372, he needs to earn more than 372-228 = 144.
Since he sells a mug for $3 and needs more than $144, his earning must be greater than 144:
→ 3x > 144, x represents the number of coffee mugs
→ x > 48
→ x must be at least 49
PLZ HELP! WILL MARK BRAINLIEST
Tell what whole number you can substitute for x in the following list so the numbers are ordered from least to greatest.
1/x , x/8, 65%
x=
Answers
Answer:
4
Step-by-step explanation:
If you add 4 it would be 1/4, 4/8, 65% which goes from least to greatest!
Answer:
x= 3
Step-by-step explanation:
1/3 = 33.3%. 3/8 = 37.5%. 65%
Hope this helps.
The marcus family goes out to eat 4 nights during vacation. There are two adults and two children in their family
The first night they go out to a buffet, the cost is 24.99 per adult and 12.99 per child. Plus 8% sales tax, how much did dinner cost?
Answers
answer:
82.0476 i think
Step-by-step explanation:
Answer:
82.04 dollars
i hope this was helpful
Step-by-step explanation:
If you spun the spinner 1 time, what is the probability it would land on a white piece?
Answers
Answer:
4/7
Step-by-step explanation:
Since there are 7 possible outcomes because there are 7 triangles the denominator will be 7. Since there are 4 white squares the chances of landing on one is 4/7
Use Pythagorean Theorem to find the missing side length. Round to the nearest tenth.
Answers
Answer:
15.1
Step-by-step explanation:
The Pythagorean theorem is
a^2 +b^2 = c^2
23^2 + b^2 = 27.5^2
529 +b^2 =756.25
Subtract 529 from each side
529-529+b^2 =756.25-529
b^2 =227.25
Take the square root of each side
b =sqrt(227.25)
b =15.07481343
To the nearest tenth
b = 15.1
Answer:
15.1
Step-by-step explanation:
. You deposit $600 in an account that earns simple interest. The difference between the total interest earned after 5 years and the total interest earned after 3 years is $24. What is the annual interest rate?
Answers
Answer:
The answer is .007874989
Step-by-step explanation:
A survey showed that 7/15 of a class liked soccer and 2/5 liked baseball. Which sport was liked less?
Answers
Answer:
baseball my guy
Step-by-step explanation:QUICK MATHS
Answer: baseball is liked less
Step-by-step explanation: its liked less because the common denominator is 15 and whatever you times the bottom by you times the top by. so 2/5 x 3= 6/15<7/15 hope that helped!:)
If a circle has a diameter of 30 meters, which expression gives its area in
scuare meters
Answers
Answer:
A = pi (15)^2
Step-by-step explanation:
The diameter is 30
The radius is 1/2 of the diameter
r = d/2 =30/2 = 15
The area of a circle is
A = pi r^2
A = pi (15)^2
A = 225 pi
Answer:B
Step-by-step explanation: 30 is the diameter so we divide it by 2 to get 15 which is the radius. Radius to the power of 2 times pi is how you get area so 15^2 times pie equals area.
Solve using elimination.
- 8x + 2y = -20
8x - 5y = 14
Answers
Answer:
x = 3, y = 2
Step-by-step explanation:
~ Through process of elimination ~
1. - 8x + 2y = -20
+ 8x - 5y = 14
2. Simplify to solve for y through simple algebra:
2y - 5y = -20 + 14 ⇒ - 3y = - 6 ⇒ y = 2
3. Now substitute this value of y into the to equation - 8x + 2y = -20 to get x:
- 8x + 2 ( 2 ) = -20 ⇒
-8x + 4 = -20 ⇒
-8x = -24 ⇒
x = 3
I Will pick brainless answer! A recipe for cookies requires 2/3 cup of butter. Rama wants to make 3/4 of the recipe. How many cups of butter should Rama used to make the cookies?
Answers
Answer:
d: 1/2
Step-by-step explanation:
Answer:D. 1/2 c
Step-by-step explanation:A recipe is 100% and 3/4 is 75%. 75% of 2/3 is 1/2.
What is the volume of this rectangular prism?
Answers
Answer:
[tex] \frac{1}{2} {cm}^{3} [/tex]
Step-by-step explanation:
[tex]v = whl \\ = \frac{1}{4} \times 2 \times 1 \\ = \frac{2}{4} \\ = \frac{1}{2} {cm}^{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
