Find the side of cube whose total surface area is 486 sq.cm
Answer:
9 cm
Step-by-step explanation:
The cube has 6 square faces.
Divide surface area by 6 to find area of 1 face
area = 486 ÷ 6 = 81 cm²
The area of a square = s² ( s is the side length ) , then
s² = 81 ( take the square root of both sides )
s = [tex]\sqrt{81}[/tex] = 9 cm
Find UV.
v
2
T
270
U
Write your answer as an integer or as a decimal rounded to the nearest tenth.
Answer:
UV = 3.9
Step-by-step explanation:
Here, we want to find the value of UV
From the question, we can see a right-triangle
2 faces the angle given and is thus the opposite side
UV represents the adjacent side
mathematically, the trigonometric ratio that relates the opposite to the adjacent is the tangent
It is the ratio of the opposite to the adjacent
Tan 27 = 2/UV
UV = 2/tan 27
UV = 3.9
Please help I don't know where to start
A and B are points with position vectors a and b respectively. C is the point on AB such
that AC = 3CB .
Find the position vector of C in terms of a and b.
Answer:
I hope you understood
what i the width of a rectangle when the length is 19.6 and the diagonal length is 20
Write the equation of the table below.
X Y
0 1
1 4
2 7
4 13
5 16
Answer:
y= 3+x
Step-by-step explanation:
Answer:
y= 3+x
Explanation:
Pls help i need this quickly ill give brainliest
factor the following completely: x^3*y^2-x^2*y^3
Answer:
Step-by-step explanation:
x³y² = x * x * x * y * y
x²y³ = x * x * y *y * y
GCF = x * x * y * y = x²y²
x³y² - x²y³ = x²y² ( x - y)
Use substitution to solve the system of equations.
3 - 5y = 36
22 + y = -16
Answer:
(-4, -8)
Step-by-step explanation:
x - 5y = 36; 2x + y = -16
first, rearrange the first equation by adding 5y to both sides to isolate x
x = 5y + 36
then plug that in for x in the second equation and solve for y:
2(5y +36) + y = -16 distribute 2 to (5y + 36)
10y + 72 + y = -16 combine like terms by adding 10y and y
11y + 72 = -16 subtract 72 from both sides
11y = -88 divide both sides by 11
y = -8
next, plug y in and solve for x
x - 5(-8) = 36
x + 40 = 36 subtract 40 from both sides
x = -4
finally, check the solution by plugging x and y into both equations to see if they equal the expected value
(-4) - 5(-8) = -1 + 40 = 36 = 36 ✓
2(-4) + (-8) = -8 -8 = -16 = -16 ✓
1 x=5
2x + y = 10
Substitution
Answer:
Y = 0
Step-by-step explanation:
If x = 5 then 2x + y = 10 is 10 + y = 10 (2*5 = 10) and so 10 + 0 = 10. Y = 0
Sally's pet store sells goldfish. The fish they sell, every goldfish needs 4 gallons of water in the tank. Frank's pet store sells goldfish as well. At Frank's every 4 fish need 3 gallons of water. If a customer has a 12 gallon tank, where should they buy the fish from?
Answer:
Frank's pet store
Step-by-step explanation:
Assuming they want the most fish with 12 gallons, lets see how many we can get from each place
Sally's. 12/4 = 3
3 goldfish
Franks. 12/3 = 4
4* 4 = 16.
Frank's place can get you more fish
Wyoming has 5.49 people per square mile and is 97,100 square miles. New York has 412.81 people per square mile and is 47,214 square miles. Use the size of Wyoming and the pollination density to approximate the population of Wyoming
Answer: 533,079 people
Step-by-step explanation:
Population density shows the concentration of people in an area. It is calculated by dividing the number of people in the area by the size of the area.
Population density = Number of people in area / Size of area
5.49 = Population / 97,100
Population = 5.49 * 97,100
= 533,079 people
PLZ HELP ME I ONLY HAVE 10 more mins left
thats the graph for the equation.
hope it helps
Calculate the rate of interest if principle is 6000 time is two years and interest 3000
Answer:
We conclude that the interest rate required to accumulate simple interest of $3,000 from a principal of $ 6,000.00 over 2 years is 25% per year.
Step-by-step explanation:
Given
Principle P = 6000
Time period t = 2 years
Interest I = 3000
To determine
Interest rate r = ?
Using the formula
I = Prt
r = I / Pt
substituting P = 6000 , t = 2, and I = 3000
r = 3000 / ( 6000 × 2 )
r = 3000 / 12000
r = 0.25
convering the decimal into percentage: 0.25×100 = 25%
r = 25%
Therefore, we conclude that the interest rate required to accumulate simple interest of $3,000 from a principal of $ 6,000.00 over 2 years is 25% per year.
hellooo anyone wanna help??
Answer:
The answer is B
Step-by-step explanation:
[tex]\frac{x}{3}[/tex]+7>28
[tex]\frac{x}{3}[/tex]>28-7
[tex]\frac{x}{3}[/tex]>21
x>21*3
x>63
Find the L.C.M of 150,180and 240 leaving your answer as product of prime factors
Answer:
2^4·3²·5² = 3600
Step-by-step explanation:
Solve for each variable X and Y.
Answer:
x=5 and y=7
Step-by-step explanation:
The opposite parallel sides of any rhombus are going to be equal.
a.) Knowing this you take (x+14) and make it equal to (5x-2). Then you subtract the x from (x+14), and add the 2 from (5x+2), making the new equation 16=4x. You divide 4 by x and by 16, getting the final simplified answer of x=4.
b.) Using the same method you take 3y-3 and set it equal to (2y+4). Then you subtract the 2y from (2y+4) and add the 3 from (3y-3) to bother sides. Now you have your new equation and answer being y=7.
a.) x+14 = 5x-2
b.) 3y-3 = 2y+4
Bob's car cost $2.99 per pound. how much will 3.4 pounds cost?
Answer:
10.166
Step-by-step explanation:
2.99 x 3.4 = 10.166
Hope this helps, have a great day!
The side lengths of the state flag of Colorado are in the ratio 2:3. If a flag is 12 feet long, what is its height?
Answer:
5 inches
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
you first divide 12 by 3 then multiply it by 2 to get 8
Suppose that you have $5,000 to invest. Which investment yields the greater return over a 10 year period: 7.74% compounded daily or 7.8% compounded quarterly? Find the total amount of the investment after 10 years if $5,000 is invested at 7.74% compounded daily. $ (Round to the nearest cent as needed.)
Answer:
We should invest in 7.74% compounded daily as it yields a higher return.
The total investment after 10 years is $10,841.22.
Step-by-step explanation:
a.) at 7.74% compounded daily
[tex]final = principal(1 + \frac{i}{m} )^{m \times n} \\ = 5000(1 + \frac{0.0774}{365} )^{365 \times 10} \\ = 10 \: 841.2235[/tex]
I assumed there are 365 days in a year.
b.) at 7.8% compounded quarterly
[tex]final = principal(1 + \frac{i}{m}) ^{m \times n} \\ = 5000 (1 + \frac{.078}{4} )^{4 \times 10} \\ = 10 \: 762.2505[/tex]
X=6{2+3[2(8-3)+(5+1)-3]}
Answer:
Step-by-step explanation:
X=6{2+3[3.5+6-3]}
=6{2+3[15+3]}
=6{2+3.18}
=6{2+54}
=6.56
=336
Omg did i get it wrong?!:(((
A baseball stadium has 15,002 seats. The lower level has 50 fewer than three times as many seats as the upper level. The middle level has 40 more than twice as many seats as the upper level. You solved for x and found that the upper level has 2,502 seats.
How many seats are in the lower level?
How many seats are in the middle level?
Answer:
There are 7456 seats on the lower level and there are 5044 seats on the middle level.
Step-by-step explanation:
Let 'X" be the number of seats on the upper level. Then we can find how many seats are on the lower level by solving the following equation...
# of seats on the lower level = 3x - 50
# of seats on the lower level = 3(2502) - 50
# of seats on the lower level = 7456
Now we just make the equation for the number of seats on the middle level, and so we get...
# of seats on the middle level = 2x + 40
# of seats on the middle level = 2(2502) + 40
# of seats on the middle level = 5044
Answer:
There are 7456 seats on the lower level and there are 5044 seats on the middle level.
Step-by-step explanation:
this is correct on edge 2021
What is the fraction equivalent to 282%?
2
OA) 28
10
B) 28
41
C) 2
50
21
Answer: 41/50
Step-by-step explanation:
Step 1: Write down the percent divided by 100 like this:
282% = 282/100
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As 282 is an integer, we don't have numbers after the decimal point. So, we just go to step 3.
Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(282,100) = 2. So,
(282÷2)/(100÷2) = 141/50 when reduced to the simplest form.
As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 282/100 is also equal to 2 41/50 when expressed as a mixed number.
) Write an expression that is equivalent to -4(3x – 7).
-4(3x - 7) =
Answer:
-12x+28
Step-by-step explanation:
if correct plz mark as brainliest
thank you
19NBoli
Answer:
-12x - 7.
Step-by-step explanation:
Hope this helps!
The table shows the relationship between the number that fit into given number of boxes from a bakery . What is the missing value in the table
Answer:
The missing value should be 48 because between the two numbers of each group. They are multplied by 6
Step-by-step explanation:
Hope this Helped!
Answer:
yeah 48 is the answer
you're correct
Donna is saving money to buy a game. The game costs $30, and so far she has saved three-fifths of this cost. How much money has Donna saved?
Answer:
30*3/5=90/5=$18
Step-by-step explanation:
This is area of shaded region and i don't know what to do pls help
Answer:
342
Step-by-step explanation:
18×25=450
9×12=108
450-108=342
Joris pays 8% sales tax on a backpack that costs 68 dollars. How much does the sales tax add to the purchase price?helpppppp
Answer:
$5.44
Step-by-step explanation:
A football team has a net yardage of -34 1/3 yards on a series of plays. The team needs a net yardage of 20 yards to get a first down. How many yards do they have to get on their next play to get first down?
Answer:
54 1/3 yards
Step-by-step explanation:
Yards needed = Required net yards - Yards already ran
We know that Required net yards = 20
We can set yards already ran to -34 1/3
Yards needed = (20) - (-34 1/3)
= 20 + 34 1/3 Subtracting a negative makes it a +
= 54 1/3
They have to get 54 1/3 yards on their next play to get a first down
Simplyfy ( 7x-6)²+(7x+3)²
Answer:
98x^2-42x+45
Step-by-step explanation:
(x + 2/3x) - ⅓(x + 2/3x) = 10
Answer:
x=9
Step-by-step explanation:
Solve for x
(
x
+
2
3
x
)
−
1
3
(
x
+
2
3
x
)
=
10
Simplify
x
+
2
3
x
−
1
3
⋅
(
x
+
2
3
x
)
.
Tap for fewer steps...
Simplify each term.
Tap for more steps...
x
+
2
x
3
−
5
x
9
=
10
Find the common denominator.
Tap for more steps...
x
⋅
9
9
+
2
x
⋅
3
9
−
5
x
9
=
10
Combine fractions with similar denominators.
x
⋅
9
+
2
x
⋅
3
−
5
x
9
=
10
Subtract
5
x
from
x
⋅
9
.
Tap for more steps...
2
x
⋅
3
+
4
⋅
x
9
=
10
Multiply
3
by
2
.
6
x
+
4
⋅
x
9
=
10
Add
6
x
and
4
⋅
x
.
10
x
9
=
10
Multiply both sides of the equation by
9
10
.
9
10
⋅
10
x
9
=
9
10
⋅
10
Simplify both sides of the equation.
Tap for fewer steps...
Simplify
9
10
⋅
10
x
9
.
Tap for more steps...
x
=
9
10
⋅
10
Cancel the common factor of
10
.
Tap for fewer steps...
Cancel the common factor.
x
=
9
10
⋅
10
Rewrite the expression.
x
=
9
Answer:
x = 9
Step-by-step explanation:
Given
(x + [tex]\frac{2}{3}[/tex] x ) - [tex]\frac{1}{3}[/tex](x + [tex]\frac{2}{3}[/tex] x ) = 10 ← distribute parenthesis
x + [tex]\frac{2}{3}[/tex] x - [tex]\frac{1}{3}[/tex] x - [tex]\frac{2}{9}[/tex] x = 10
Multiply through by 9 ( the LCM of 3 and 9 ) to clear the fractions
9x + 6x - 3x - 2x = 90
10x = 90 ( divide both sides by 10 )
x = 9
Can someone help solve this?