Answer: 33 gallons
Step-by-step explanation:
The water tank is a cube, with one dimension of x meters. Its volume will be x^3.
X^3 = 729m^3
x = 9 meters. The cube has 4 side walls and a top and bottom, for a total of 6 interior walls. Each wall has an area of x^2, or 81 m^2.
(6 walls)*(81 ft^2) = 486 m^2
One gallon of paint will cover 15 m^2. The conversion factor is (1 gallon/15 m^2)
(486 m^2)*(1 gallon/15 m^2) = 32.4 gallons, rounded up to 33 gallons
Solve for z? Question in photo
Answer:
z = 3
Step-by-step explanation:
I hope this helps!
Which angle in the triangle with vertices A (4, 4), B (5,6), and C (8,2) is a right angle?
The triangle does not represent aright-angled triangle
The coordinates of the triangle are given as:
[tex]\mathbf{A = (4,4)}[/tex]
[tex]\mathbf{B = (5,6)}[/tex]
[tex]\mathbf{C = (8,2)}[/tex]
Start by calculating the slopes of the lines that pass through the vertices of the triangles using:
[tex]\mathbf{m = \frac{y_2 - y_1}{x_ 2 -x_1}}[/tex]
So, we have:
[tex]\mathbf{m_{AB} = \frac{6- 4}{5 -4}}[/tex]
[tex]\mathbf{m_{AB} = \frac{2}{1}}[/tex]
[tex]\mathbf{m_{AB} = 2}[/tex] --- the slope of line AB
[tex]\mathbf{m_{CB} = \frac{6- 2}{5 -8}}[/tex]
[tex]\mathbf{m_{CB} = \frac{4}{-3}}[/tex]
[tex]\mathbf{m_{CB} = -\frac{4}{3}}[/tex] --- the slope of line CB
[tex]\mathbf{m_{AC} = \frac{4- 2}{4 -8}}[/tex]
[tex]\mathbf{m_{AC} = \frac{- 2}{-4}}[/tex]
[tex]\mathbf{m_{AC} = \frac{1}{2}}[/tex] --- the slope of line AC
None of the slopes have the following relationship with another slope
[tex]\mathbf{m_1 = -\frac{1}{m_2}}[/tex] --- condition for perpendicular line
Hence, the triangle is not a right-angled triangle
Read more about triangles at:
https://brainly.com/question/3189840
-2(y+2)+6y Need help
Answer:
4y-4 Hope this helps! :)
Step-by-step explanation:
1The lengths of pregnancies are normally distributed with a mean of 271 days and a standard
deviation of 20 days. If 64 women are randomly selected, find the probability that they have a mean
pregnancy between 271 days and 273 days.
A) 0.2881
B) 0.5517
C) 0.2119
D) 0.7881
[tex]probablity = \frac{271}{273} \\ = 0.99267399267[/tex]
6(3x-1-2x)=(2x-5-8)
determina el conjunto de la ecuacion lineal
6(3x-1-2x)=(2x-5-8)
Expand expression 1 : 18x-6-12x
18x-6-12x=2x-5-8
Collect like terms
18x-12x-2x= -5-8+6
4x= -7
x= -4/7
add on a number line :(+7). (-7)
Answer:
-8———————0——————————10
-7 7
That’s -7 and 7 on a number line. If you count the — each is one so that is where they would be if you plotted the number line.
Step-by-step explanation:
The area of the regular pentagon is 6. 9 cm2. A regular pentagon has an apothem with length 1. 38 centimeters and an area of 6. 9 centimeters squared. What is the perimeter? 2 cm 5 cm 10 cm 20 cm.
The perimeter of the regular pentagon is 10 centimeters.
Given that the area of the regular pentagon is 6.9 cm2, and a regular pentagon has an apothem with length 1.38 centimeters and an area of 6.9 centimeters squared, to determine what is the perimeter the following calculation must be performed:
(Perimeter x apothem) / 2 = Area 1.38X / 2 = 6.9 1.38X = 13.80 X = 13.80 / 1.38 X = 10
Therefore, the perimeter of the regular pentagon is 10 centimeters.
Learn more about maths in https://brainly.com/question/11993520
Rachel, Neil, Caroline share an amount of money.
Rachel gets five time as much money as Neil gets.
Rachel get half as much money as Caroline gets.
what fraction of the amount of money does Rachel get?
The fraction of the money belonging to Rachel is [tex]\frac{5}{16}[/tex]
Let [tex]R[/tex] be the amount of money Rachel has
Let [tex]N[/tex] be the amount of money Neil has
Let [tex]C[/tex] be the amount of money Caroline has
Let [tex]M[/tex] be the total amount of money shared between the three people
Then, from the problem we have the following relationships
[tex]R+N+C=M\\\\5N=R \implies N=\frac{R}{5}\\\\\frac{C}{2}=R\implies C=2R[/tex]
Substituting the formulae for [tex]N[/tex] and [tex]C[/tex] into the sum [tex]R+N+C=M[/tex], we get
[tex]R+\frac{R}{5}+2R=M\\\\\frac{5R+R+10R}{5}=M\\\\\frac{16R}{5}=M\\R=\frac{5M}{16}[/tex]
Or, we can say that, [tex]R=\frac{5}{16}\text{ of }M[/tex]
Therefore, the fraction of money Rachel gets is [tex]\frac{5}{16}[/tex] of the total amount.
For an additional example of how to solve word problems that involve sharing money among people, see this answered question: https://brainly.com/question/23286685
Read the scenario. 3. Joelle is sewing a new outfit. One pattern piece is 4 in. long. The piece has a seam allowance of in. How long will the piece be after it is sewn? Hint: the seam allowance is how far in from the edge of the piece you sew. It reduces the overall size of the pattern piece. Show the solution to the problem using a horizontal number line. + + 1 O + 2 3. Length of Pattern Piece (in.) 4. 5 Answer:
Answer: i think its 4.6 because i am doing the same problem and 4.6 looks the best answer.
Step-by-step explanation: you can also add 4+5/8 or 4+0.625 and you get 4.625 and 4.625 simplified is 4.6
How many solutions does this equation have. 3x + 99 = 3 (x + 33)
Answer:
Infinitely many solutions
Step-by-step explanation:
3x + 99 = 3 (x+33)
distribute 3 to x and 33
3 * x = 3x
3 * 33 = 99
3x + 99 = 3x + 99
If the expressions on both sides of the equal sign are the same, then solving for them would result in 0 = 0 meaning that the equation has infinitely many solutions
What is the equation of the circle in center - radius form: x² + y2 + 12x - 10y
- 7 = 0?
Answer:
Radius: √ 61
Step-by-step explanation:
Complete the square for x^ 2 + 12 x = ( x + 6 ) ^2 − 36
Substitute ( x + 6 ) 2 − 36 for x 2 + 12 x in the equation x 2 + y 2 + 12 x − 10 y = 0
= ( x + 6 ) 2 − 36 + y 2 − 10 y = 0
Move − 36 to the right side of the equation by adding 36 to both sides
= ( x + 6 ) 2 + y 2 − 10 y = 0 + 36
Then you know the rest: radius will be √ 61
The center coordinate of the circle is (6,5) with a radius = 7.34
What is the equation of the circle?The equation of the circle is: [tex](x-a)^{2} + (y-b)^{2} = r^{2} x^{2}[/tex]
Substituting the values in the equation:
[tex](x-a)^{2} + (y-b)^{2} = r^{2} x^{2} - 2ax + a^{2} + y^{2} - 2by +b^{2} - r^{2} = 0[/tex]
⇒ -2ax = -12x
⇒ a = 6.
-2by = -10y
b= 5.
⇒ a² + b² - r² = -7
⇒ 6² + 5² + r² = -7
⇒ 36 + 25 + r² = -7
⇒ r² = 54
⇒ r = 7.34
Center coordinate (6,5) with r = 7.34
Learn more about the equation of the circle here: brainly.com/question/1471134
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solve for x
3x/6 + 1 = 7
common factor of 24 plz
Hey there!
Factors of 24 are 1, 2, 3, 4, 6, 8 & 12.
24 = 1 × 2 × 2 × 2 × 3
24 = 2³ × 3 × 1
1 × 24 = 24
2 × 12 = 24
3 × 8 = 24
4 × 6 = 24
Hope it helps ya!
I have no idea how to do these plz help and plz make sure it’s right because I only have 5 questions and will mark brainiest:)
Answer: the answer is d
Step-by-step explanation:
Plz help fast I will mark brainliest
How many sides does a polygon have if the sum of the interior angles is 360
Answer:
4
Step-by-step explanation:
we know that triangles have 180 degrees inside them and quadrilaterals are made up of two triangles, since 180 x 2 is 360 we know it's a quadrilateral.
Identify the slope!!
Answer:
Step-by-step explanation:Method 2 of 2: Solving for Slope Get a line of which you want to know the slope. Make sure that the line is straight. ... Pick any two coordinates that the line goes through. Coordinates are the x and y points written as ( x, y ). Pick which point's coordinates are dominant in your equation. ... Set up the equation using the y-coordinates on top and the x-coordinates on bottom. More items.
g(n)=n^2-4
h(n)=4n+5
find g°h
Answer: g(4n+5) = 16n^2 + 40n + 30
Step-by-step explanation:
g(n)=n^2-4
h(n)=4n+5
find g°h
g°h is g(4n+5) = (4n+5)^2 + 5
g(4n+5) = (16n^2 + 40n + 25) + 5
g(4n+5) = 16n^2 + 40n + 30
HELP PLZ I NEED TO PASS‼️‼️‼️ (picture of the question is included)A line passes through the point (-4, -3) and has a slope of 5/4.
Write an equation in slope-intercept form for this line.
Which expression simplifies to 5√3?
Answer:
C.
[tex] \sqrt{75} [/tex]
Step-by-step explanation:
You can just enter it in the calculator to see which is equal to
[tex]5 \sqrt{3} [/tex]
Given side AB in ΔABC has length x, what is the length of side AC?
A) x
B) x 2
C) x 3
D) 2x
Answer:
2x
Step-by-step explanation:
If you estimate 124x22 by rounding to the nearest ten, will you get an overestimate or an underestimate?
write the following fraction as decimals numbers 29/10 329/100 72/1000 2/1000
[tex] \frac{29}{10} = 2 \frac{9}{10} [/tex]
[tex] \frac{329}{100} = 3 \frac{29}{100} [/tex]
[tex] \frac{72}{1000} = \frac{9}{25} [/tex]
[tex] \frac{2}{1000} = \frac{1}{50} [/tex]
I DON'T KNOW IF CORRECT
Answer:
i) 2.9
ii) 3.29
iii) 0.072
iv) 0.002
Step-by-step explanation:
i) 29/10 = 2.9
ii) 329/100 = 3.29
iii) 72/1000 = 0.072
iv) 2/1000 = 0.002
It's Helpful For All
Mark me Brainliest
[final due to glitching] find the value of x for this parallelogram
Answer:
x = 0
Step-by-step explanation:
both angles equal each other
I hope this helps
Find the perimeter. Simplify your answer.
Answer:
4a+24
Step-by-step explanation:
a+6+a+6+a+6+a+6 collect the like terms with a and 6
4a+24
Answer:
4a-24
Step-by-step explanation:
its a square. all sides r equal so add everything or multiply by the number of sides. 4(a-6) or (a-6)+(a-6)+(a-6)+(a-6)
Mary's allowance is based on the amount of time that she spends practicing different activities each week. This week Mary spent 12 hours practicing and earned $12.00.
Part A: Mary's time spent on activities is as follows: 1/5 practicing flute, 1/6 practicing Spanish, 1/2 playing soccer, and 2/15 practicing math. Write an equivalent decimal for the amount of time that she spent on each activity. If necessary, round to the nearest hundredth.
Answer:
Math: 1h 36 min
Flute: 2h 24 min
Soccer: 6h
Spanish: 2h
Please help! I need to turn this in today.
Answer:
C this is the answer
Step-by-step explanation:
hope this helps
Answer:
B
Step-by-step explanation:
Area = Width X Length
9x+6 / 3 = 3x + 2
What is the final amount if 700 is decreased by 6% followed by a 7% increase?
Give your answer rounded to 2 DP.
Answer:
700 -6% =658 and 658-7%=611.94
whats is 89 x 98789 =
please help me asap please
Answer:
8792221
Step-by-step explanation:
89 x 98789 = 8792221
8792221 is correct answer
(Hope this helps can I pls have brainlist (crown)☺️)
Given numbers 2 ,5,11, 4.5, 1/10, V3 then
a. Write two prime numbers from the above.
b- An integer root 121
c- A number 25 % of 18
d- An irrational number
Answer:
a. pick two between 2,5 or 11, they are all primes.
b. it's 11 since
[tex]11 {}^{2} = 121[/tex]
c. that's
[tex]18 \times \frac{25}{100} = 4.5[/tex]
(or think about it as half the half of 18, so half of 9)
d.
[tex] \sqrt{3} [/tex]
Rest can be written as a fraction