Answer: 99 in²
Step-by-step explanation:
We can use the given formula for a triangular prism. We will substitute our known values and solve.
Surface Area = length * base perimeter + (2 × base area)
Surface Area = length * (1.5 in + 2 in + 2.5 in) + (2 × \(\frac{bh}{2}\))
Surface Area = 16 * (6 in) + (2 × \(\frac{(2\;in)(1.5\;in)}{2}\))
Surface Area = 16 in * (6 in) + (3 in²)
Surface Area = 96 in² + 3 in²
Surface Area = 99 in²
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA POINTS** !! DONT SKIP :((
Answer:
Fraction: 9/10
Decimal: 0.9
Percent: 90%
Find the perimeter of the triangle in units. Round to two decimal
places as necessary.
Answer:
54.56 unitsStep-by-step explanation:
The vertices are:
K(-12,2), L(-7,12), J(3,-10)Find the sides using distance formula:
KL = \(\sqrt{(-7+12)^2+(12-2)^2} = \sqrt{125}\) ≈ 11.18LJ = \(\sqrt{(3+7)^2+(-10-12)^2} = \sqrt{584}\) ≈ 24.17KJ = \(\sqrt{(3+12)^2+(-10-2)^2} = \sqrt{369}\) ≈ 19.21Find perimeter:
P = KL + LJ + KJP = 11.18 + 24.17 + 19.21 = 54.56 unitsAnswer:
54.56 units (2 d.p.)
Step-by-step explanation:
The perimeter of a two-dimensional shape is the sum of the lengths of its sides.
From inspection of the given diagram, the vertices of the triangle are:
J = (3, -10)K = (-12, 2)L = (-7, 12)To find the lengths of each side, use the distance between two points formula.
Distance between two points
\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)
\(\textsf{where }(x_1,y_1) \textsf{ and }(x_2,y_2)\:\textsf{are the two points}\)
Therefore:
\(\implies JK = \sqrt{(x_K-x_J)^2+(y_K-y_J)^2}\)
\(\implies JK = \sqrt{(-12-3)^2+(2-(-10))^2}\)
\(\implies JK = \sqrt{369}\)
\(\implies KL = \sqrt{(x_L-x_K)^2+(y_L-y_K)^2}\)
\(\implies KL = \sqrt{(-7-(-12))^2+(12-2)^2}\)
\(\implies KL=\sqrt{125}\)
\(\implies LJ = \sqrt{(x_J-x_L)^2+(y_J-y_L)^2}\)
\(\implies LJ = \sqrt{(3-(-7))^2+(-10-12)^2}\)
\(\implies LJ=\sqrt{584}\)
Therefore:
\(\begin{aligned}\implies \sf Perimeter & = \sf JK + KL + LJ\\& = \sqrt{369}+\sqrt{125}+\sqrt{584}\\& = 54.55580455...\\& = 54.56\:\: \sf units\:(2\:d.p.)\end{aligned}\)
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A cylinder has a height of 15 feet in a diameter of 14feet
The surface area of the cylinder will be \(968feet^{2}\)
The surface area of a cylinder is the area occupied by its surface in three-dimensional space. It has no peaks. The area is shown in square units. For example cm2, m2, and so on. A cylinder can be seen as a set of circular disks that are stacked on top of each other. Since a cylinder is a three-dimensional body, it has both a surface and a volume.
The area of the cylinder is defined as the sum of the curved surface and the area of the two circular bases of the cylinder.
The surface area of the cylinder = curved area + area of circular bases
SA = \(2\)πr (h + r) square unit
Where, π (Pi) = \(3.142\) or = \(22/7\)
r = Radius of the cylinder
h = Height of cylinder
As we know, a cylinder has two types of surfaces, one is a curved surface and the other is a circular base. So the total area will be the sum of the curved area and the two circular bases.
Now if the cylinder has h=\(15\) feet and d=\(14\) feet or r=\(7\) feet
The surface area of cylinder will be:
SA=\(2\)π*\(7(15+7)\) \(feet^{2}\)
Hence the surface area of cylinder will be:
\(SA=2*22/7*7*22=968feet^{2}\)
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A sofa cost $600.What is the price of the sofa after a 15% discount?
Answer:
510
Step-by-step explanation:
trust me
Answer:
$510
Step-by-step explanation:
600x15%= 90
Then,
You do... 600-90= $510
You subtract 90 from 600 because that is the money saved by the 15% off discount.
List three different combinations of coins, each with a value of 30% of a dollar.
Answer:
1. 3 dimes
2. 1 quarter and a nickel
3. 30 pennies
Step-by-step explanation:
i hope this is it and i hope this helped <3
Answer:
3 nickels, 1 quarter and 5 pennies, and 30 pennies
Step-by-step explanation:
30% of a dollar is 30 cents. those all equal 30 cents
Evaluate.
{3 + [−5 (2−4) ÷ 2]} x 3
Answer choices:
−27
(negative 27)
−13
(negative 13)
18
(eighteen)
24
(Twenty-four)
Answer:
24
(twenty - four)
Step-by-step explanation:
Again we want to evaluate this using BPEMDAS
Which tell us in order which operations we do
Remember BPEMDAS means
Brackets
Parenthesis
Exponents
Multiplication/Division (going left to right)
Addition/Subtraction (going left to right)
{3 + [−5 (2−4) ÷ 2]} x 3
==> first we perform all operations in the innermost bracket
[3 + (−5(-2) ÷ 2)] x 3
==> we do the same thing as the first step, the operations in the inner most parenthesis. there is only multiplication and division here so we perform them going left to right
[3 + (10 ÷ 2)] x 3 ==> multiplication first because its before the division in the parenthesis
(3 + 5) x 3 ==> division next
==> next we do the final operations in the parenthesis 3+5
8 x 3
==> finally the multiplication
= 24
I’m certain year, there were 86 female officials in congress, which comprised of the House of Representatives and the senate. If there were 58 more female me members of the House of Representatives than female senators, find the number of females in each house of congress
Answer:
58 members of the House of Representatives, and 28 members of the senate.
Step-by-step explanation:
We can find the answer to this by simply subtracting:
86 - 58 = 28
So, there are 58 members of the House of Representatives, and 28 members of the senate.
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I only need 3 more brainliest to become a genius! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
The diameter of a circle is 5 ft. Find its area to the nearest tenth.
Answer:
A = 19.6 ft²
Step-by-step explanation:
A = πr² Use this equation to find the area of the circle
A = π(2.5)² Multiply
A = π(6.25) Multiply
A = 19.6 ft²
the carpenter in the air still stration cause a board into two pieces. He wants one piece to be 5 feet longer than twice the length of the shorter piece. Find the length of each piece.
the shorter piece
the longer piece
Answer:
shorter piece = 7 ft
longer piece = 19 ft
Step-by-step explanation:
L = longer board
S = shorter board
L+S = 26 then L =26-S
L = 5+2S
substitute for L
26-S = 5+2S
add S to each side & subtract 5 from each side
3S = 21
divide both sides by 3
3S/3 = 21/3
S = 7
L = 19
5/30 a real number ?
Answer: Yes
Step-by-step explanation:
Answer:
Yes
because it is positive
Translate the given statement into a linear equation in the form
ax + by = c using the indicated variable names. Do not try to solve the resulting equation.
The number of new clients (x) is 149% of the number of old clients (y).
On solving the provided question ,we can say that The statement "The number of new clients (x) is 149% of the number of old clients (y)" can be written mathematically as: x = 1.49y
what is a sequence?A sequence is a grouping of "terms," or integers. Term examples are 2, 5, and 8. Some sequences can be extended indefinitely by taking advantage of a specific pattern that they exhibit. Use the sequence 2, 5, 8, and then add 3 to make it longer. Formulas exist that show where to seek for words in a sequence. A sequence (or event) in mathematics is a group of things that are arranged in some way. In that it has components (also known as elements or words), it is similar to a set. The length of the sequence is the set of all, possibly infinite, ordered items. the action of arranging two or more things in a sensible sequence.
The statement "The number of new clients (x) is 149% of the number of old clients (y)" can be written mathematically as:
x = 1.49y
-1.49y + x = 0
-149y + 100x = 0
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The linear equation in the required form is: x - 1.49y = 0
What is linear equation?
A linear equation is a mathematical equation that describes a straight line in a two-dimensional plane. It is an equation of the form:
y = mx + b
Let's start by assigning variables to the given information. We are told that "the number of new clients (x) is 149% of the number of old clients (y)."
Using this information, we can write:
x = 1.49y
To write this equation in the form ax + by = c, we need to move all the variables to one side of the equation and simplify.
Subtracting 1.49y from both sides, we get:
x - 1.49y = 0
So the linear equation in the required form is:
x - 1.49y = 0
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HELP PLS PLS PLS PLS PLS z
Answer:
126
Step-by-step explanation:
I got a protracter
A rack has a volume of 10 cm3 and a mass of 25g. What is the density?
Answer:
Step-by-step explanation:
density is mass divided by volume, so 25g divided by 10 cm = 2.5 g
The half life of Co-60 is 5.20 years. How many milligrams of a 1.00mg sample remains after 6.55 years
Answer:
For cobalt-60, which has a half-life of 5.27 years, 50% remains after 5.27 years (one half-life), 25% remains after 10.54 years (two half-lives), 12.5% remains after 15.81 years (three half-lives), and so on.
Step-by-step explanation:
You can figue out the rest.
Describe how to simplify the expression StartFraction 3 Superscript negative 6 Baseline Over 3 Superscript negative 4 Baseline EndFraction. Divide the bases and then add the exponents. Keep the base the same and then add the exponents. Multiply the bases and then subtract the exponents. Keep the base the same and then subtract the exponents.
Answer:
d. Keep the base the same and then subtract the exponents.
Step-by-step explanation:
To simplify the expression, keep the base the same and then subtract the exponents, the correct option is D.
What is an Expression?An expression is a mathematical statement which consists of variables, constants and mathematical operators.
The expression is
\(\rm \dfrac{3^{-6}}{3^{-4}}\)
According to the exponent rule
\(\rm m^a/m^b = m ^{a-b}\)
3⁻⁶⁻⁽⁻⁴⁾
3⁻²
1/9
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find a polynomial function with the leading coefficient one or negative 1 that has the given zeros multiplicity and degrees 01 multiplicity to 03 multiplicity to degree 4
The function is negative for since the leading coefficient is positive and the highest degree is odd (9) (-inf, -6).
Find a polynomial function ?The function is negative for since the leading coefficient is positive and the highest degree is odd (9) (-inf, -6).
It then crosses the -6 root to turn positive until it again crosses the -2 root.
(It crosses because the odd multiplicity of both roots)
The function remains negative from -2 until root 4, where it crosses into the positive, where it does not cross since there is an even multiplicity.
In light of the aforementioned, only the first option makes sense. because the leading coefficient is positive and the highest degree is odd (9) the function is negative for (-inf, -6).
Then it crosses the -6 root to become positive until it crosses again the root -2.
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Use the spinner to find the theoretical probability of the event. Write your answer as a fraction or a percent rounded to the nearest tenth.
The theoretical probability of spinning a 1 is
PLEASE HELP ME!!!
Professor A.B.C company opens his own company, Electronic Tutorial Services, and completes the following transactions in June:
6/1 A.B.C company invests 20,000 in the business.
6/3 Purchased 12,100 of equipment.
6/4 Paid 220 premium for an insurance policy.
6/6 Purchased office supplies on Account 140.
6/9 Purchased a new computer for 9,000. Paid 40% cash agreed to pay the remainder Later.
6/10 Billed student Omar 58 for tutorial services that were performed.
6/14 Paid for the supplies purchased on June 6th.
6/15 the owner suggested to purchased new Building for his company by 22,000
6/25 Received 85 cash from student Salim Ali for tutorial services performed.
6/30 Student billed on June 10 pays the amount due to A.B.C company.
6/30 A.B.C company withdraws 60 for personal use.
Required: Prepare the all Accounting Cycles
In June, A.B.C company invested $20,000, purchased equipment, paid insurance premium, bought office supplies, billed students for tutorial services, received cash, paid for supplies, withdrew personal funds.
Accounting Cycles:
1. June 1:
- A.B.C company invests $20,000 in the business.
- Prepare the journal entry:
- Debit: Cash ($20,000)
- Credit: Capital ($20,000)
2. June 3:
- Purchased equipment for $12,100.
- Prepare the journal entry:
- Debit: Equipment ($12,100)
- Credit: Cash ($12,100)
3. June 4:
- Paid $220 premium for an insurance policy.
- Prepare the journal entry:
- Debit: Insurance Expense ($220)
- Credit: Cash ($220)
4. June 6:
- Purchased office supplies on account for $140.
- Prepare the journal entry:
- Debit: Office Supplies ($140)
- Credit: Accounts Payable ($140)
5. June 9:
- Purchased a new computer for $9,000. Paid 40% in cash and agreed to pay the remainder later.
- Prepare the journal entry for the cash payment:
- Debit: Computer ($3,600) [40% of $9,000]
- Credit: Cash ($3,600)
- Prepare the journal entry for the remaining amount:
- Debit: Computer ($5,400)
- Credit: Accounts Payable ($5,400)
6. June 10:
- Billed student Omar $58 for tutorial services performed.
- Prepare the journal entry:
- Debit: Accounts Receivable ($58)
- Credit: Tutorial Services Revenue ($58)
7. June 14:
- Paid for the supplies purchased on June 6th ($140).
- Prepare the journal entry:
- Debit: Accounts Payable ($140)
- Credit: Cash ($140)
8. June 15:
- The owner suggested purchasing a new building for the company for $22,000.
- No journal entry is required at this point. It is a decision made by the owner.
9. June 25:
- Received $85 cash from student Salim Ali for tutorial services performed.
- Prepare the journal entry:
- Debit: Cash ($85)
- Credit: Accounts Receivable ($85)
10. June 30:
- Student billed on June 10 pays the amount due ($58).
- Prepare the journal entry:
- Debit: Cash ($58)
- Credit: Accounts Receivable ($58)
11. June 30:
- A.B.C company withdraws $60 for personal use.
- Prepare the journal entry:
- Debit: Withdrawals ($60)
- Credit: Cash ($60)
These transactions represent the accounting cycles for the given period.
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Solve (x+1)2 =13/4 using the square root property
Answer:
Starting with the equation:
(x + 1)^2 = 13/4
We can use the square root property, which states that if a^2 = b, then a is equal to the positive or negative square root of b.
Taking the square root of both sides, we get:
x + 1 = ±√(13/4)
Simplifying under the radical:
x + 1 = ±(√13)/2
Now we can solve for x by subtracting 1 from both sides:
x = -1 ± (√13)/2
Therefore, the solutions to the equation are:
x = -1 + (√13)/2 or x = -1 - (√13)/2
Step-by-step explanation:
Question 2
No calculations are necessary to answer this question.
3/01
3/02
$1.7420 $1.7360
Date
July GBP Futures
Contract Price
O long; long
Based on the closing prices of July GBP Futures Contract over the 3-day period in March 20XX as shown above, you shou
position on 3/01 and a position on 3/02.
O long; short
O short; short
3/03
short; long
$1.7390
The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.
The admission fee at a local zoo is $1.50 for children and $6.00 for adults. On a certain day, 2100 people
enter the zoo and $9, 450.00 is collected. How many children and how many adults attended?
A triangular pyramid is formed from three right triangles as shown below.
Use the information given in the figure to find the length AC.
If applicable, round your answer to the nearest whole number.
The lengths on the figure are not drawn accurately.
A
41
B
85
Answer:
76 units
Step-by-step explanation:
You want the length of AC in the given triangular pyramid.
Pythagorean theoremThe Pythagorean theorem can be used to find the lengths of AD and CD.
AD² + 40² = 41²
AD² = 41² -40² = 81 . . . . . = 9²
and
CD² +40² = 85²
CD² = 85² -40² = 5625 . . . . . = 75²
It can also be used to find AC:
AD² + CD² = AC²
81 + 5625 = AC²
AC = √5706 = 3√634 ≈ 76
The length of side AC is about 76 units.
__
Additional comment
The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the legs of a right triangle.
<95141404393>
HELP ME raaaaaaaa NOWWWWWWWWWW
Answer:
C: EAF Is the correct answer
It takes you 1 minute 40 seconds to walk 550 feet. What is your average speed?
Answer:
5.5 feet per second or 330 feet per minute
Step-by-step explanation:
550/100 seconds = 5.5 feet per second
5.5 x 60 = 330 feet per minute
Answer:
3.75 mph (miles per hour)
(i finally got the right answer, ignore my comment, i am so sorry it was wrong T_T)
translate twice x is at most -29 into an inequality
The answer is 2x ≤ - 29
Step-by-step-explain
Twice x is at most -29 into an inequality
2x ≤ - 29
Thus, The answer is 2x ≤ - 29
-TheUnknownScientist
in an equilateral triangle the first side is x+1, second side is 2x+4, the third side is 3x+y, find the value of x and y
The value of x is -3 and y is 7 for equilateral triangle having x+1, 2x+4 and 3x+y sides.
We can use the fact that an equilateral triangle has equal lengths on each of its three sides to determine the values of x and y.
Given:
First side=x+y
second side= 2x+4
third side=3x+y
An equilateral triangle has three equal sides, hence the following equations can be constructed:
x + 1 = 2x + 4
2x + 4 = 3x + y
Let's tackle each of these equations separately:
x + 1 = 2x + 4
We will subtract x from both sides and subtract 4 from both sides in order to solve this equation:
x + 1 - x = 2x + 4 - x
1 = x + 4
By taking 4 away from both sides, we arrive at:
1 - 4 = x + 4 - 4 , -3 = x
Therefore, x has been determined to be -3.
Now, substitute the value of x in the second equation:
2x + 4 = 3x + y
2(-3) + 4 = 3(-3) + y
-6 + 4 = -9 + y
-2 = -9 + y
y = -2 + 9
y = 7
So, we determined that y has a value of 7.
As a result, the values of x and y are, respectively, x=-3 and y=7
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Answer:
Step-by-step explanation:
In an equilateral triangle all sides are equal.
So each of these sides (and their equations are equal to each other.)
To find x - set the first two (as they only involve x) equal to each other and solve.
x + 1 = 2x + 4
x -x + 1 = 2x - x + 4
1 = x + 4
1- 4 = x + 4 - 4
-3 = x
Then substitute -3 for x in the last equation to find y, also setting it equal to one of the other equations.
3(x) + y = x + 1
3(-3) + y = -3 + 1
-9 + y = -2
-9 + 9 + y = -2 + 9
y = 7
so x = -3 and y equal 7
Sofia has 12 cups of yogurt to make smoothies. Each smoothie uses a cup of
yogurt. How many smoothies can Sofia make with the yogurt?
Answer:
12
Step-by-step explanation:
If she has 12 cups of yogurt and each cup only uses 1 cup then she can make 12 smoothies
Answer:
12
Step-by-step explanation:
You can
apply the rules of exponents to the problem in BOTH radical form and rational exponent
form true or false
Answer:
When dealing with radicals and exponents, one must realize that fractional exponents deals directly with radicals. In that sense, sqrt(x) = x^½. In a fractional exponent, the numerator represents the actual exponent of the number. So, for x^2/3, the x is being squared.For the denominator, that deals with the radical. The index, to be exact. The index describes what kind of radical (or root) is being taken: square, cube, fourth, fifth, and so on. So, for our example x^2/3, x is squared, and that quantity is under a cube root (or a radical with a 3).^^^Exponential fractions still follow the same rules of simplifying, so...
x^2/4 = x^1/2 = sqrt(x)
Step-by-step explanation:
When dealing with radicals and exponents, one must realize that fractional exponents deals directly with radicals. In that sense, sqrt(x) = x^1/2
Now, how to go about doing this:
In a fractional exponent, the numerator represents the actual exponent of the number. So, for x^2/3, the x is being squared.
For the denominator, that deals with the radical. The index, to be exact. The index describes what KIND of radical (or root) is being taken: square, cube, fourth, fifth, and so on. So, for our example x^2/3, x is squared, and that quantity is under a cube root (or a radical with a 3). Here are some more examples to help you understand a bit more:
x^6/5 = Fifth root of x^6
x^3/1 = x^3
^^^Exponential fractions still follow the same rules of simplifying, so...
x^2/4 = x^1/2 = sqrt(x)
What is 8 divide 1/5?
What is 8 divide by 1/5
Answer:
40
Step-by-step explanation:
The volume of a cone is 3rx? cubic units and its height is x units. Which expression represents the radius of the cone's base, in units?
O 3πx
O 6πx
O 3πx2
O 9πx2
Answer:
It is given that the volume of a cone = \(3\pi x^3\) cubic units
Volume of cone with radius 'r' and height 'h' = \(\frac{1}{3}\pi r^2h\)
Equating the given volumes, we get
\(3\pi x^3=\frac{1}{3}\pi r^2h\)
\(r^2h=3\) × \(3x^3\)
\(r^2h=9 x^3\)
It is given that the height is 'x' units.
Therefore, \(r^2x=9x^3\)
\(r^2=9x^2\)
Therefore, \(r=3 x\)
So, the expression '\(3 x\)' represents the radius of the cone's base in units.