a rectangular garage has a volume of 480m^3, with a length of 12m and the width 8m.
Answers
Answer:
5 m
Step-by-step explanation:
V = l × w × h
480 = 12 × 8 × h
h = 480 ÷ 96 = 5 m
Answer:
5m
Step-by-step explanation:
Well volume is V=Bh. So you do 12 times 8= 96 thats your base. So you need to them do 480 divided by 96 which equals 5 so therefore 5 is your answer. Also just to make sure that's the right answer, do 12 times 8 times 5. That equals 480.
Related Questions
-30 + (-10) + 12
Answer:
-25
-28
23
Answers
Hi. I need help with these questions.
See image for question.
Answer 23 , 24,25,26
Answers
Answer:
23) 4x² - 8k²x + k⁴ = 024) (i) 2, (ii) 725) (i) 11/8, (ii) -81/826) (a³ + b³ + c³ + 3abc)/a³Step-by-step explanation:
23..............................
GivenEquation 2x(x - k) = k² with the roots α and βTo findThe equation with roots α² and β²Solution2x(x - k) = k²2x² - 2kx - k² = 0The sum and the product of the roots
α + β = - (-2k)/2 = kαβ = - k²/2The equation with roots α² and β² is:
(x - α²)(x - β²) = 0x² - (α² + β²)x + α²β²= 0x² - ((α + β)² - 2αβ)x + (αβ)² = 0x² - (k² - 2( -k²/2))x + (- k²/2)² = 0x² - (k² + k²)x + k⁴/4 = 04x² - 8k²x + k⁴ = 024..............................
GivenEquation 3x² - 9x + 2 = 0 with the roots α and βTo findThe values of
αβ² + α²βα² - αβ + β² SolutionThe sum and the product of the roots
α + β = - (-9)/3 = 3αβ = 2/3(i)
αβ² + α²β =αβ(α + β) =2/3(3) =2(ii)
α² - αβ + β² = α² + 2αβ + β² - 3αβ =(α + β)² - 3αβ =3² - 3(2/3) =9 - 2 =725..............................
GivenEquation 2x² + 9x + 12 = 0 with the roots α and βTo find(a) show that the quadratic equation whose roots are (α - 1/α) and (β - 1/β) is 24x² + 90x + 115 = 0The values of
(i) αβ (1/α² + 1/β²)(ii) α³ + β³SolutionThe sum and the product of the roots
α + β = - 9/2αβ = 12/2 = 6a) The quadratic equation whose roots are (α - 1/α) and (β - 1/β) is:
(x - (α - 1/α))(x - (β - 1/β)) = 0x² - (α - 1/α + β - 1/β)x + (α - 1/α)(β - 1/β) = 0x² - ((α + β) - (α + β)/αβ)x + αβ + 1/(αβ) - (α/β + β/α) = 0x² - ((α + β) - (α + β)/αβ)x + αβ + 1/(αβ) - ((α+β)² - 2αβ)/(αβ)= 0x² - (-9/2 - (-9/2)/6)x + 6 + 1/6 - ((-9/2)² - 2(6))/6 = 0x² - ( -9/2 + 3/4)x + 37/6 - (81/4 - 12)/6 = 0x² + 15/4x + 37/6 - 33/24 = 0x² + 90/24x + 148/24 - 33/24 = 024x² + 90x + 115 = 0Proven(i)
αβ (1/α² + 1/β²) =αβ(α² + β²)/(α²β²) =((α + β)² -2αβ)/(αβ) =((-9/2)² - 2(6))/6 =(81/4 - 12)/6 =81/24 - 2 =33/24 =11/8(ii)
α³ + β³ =(α + β)(α² - αβ + β²) = (α + β)(α² + 2αβ + β² - 3αβ) =(α + β)((α + β)² - 3αβ) =(-9/2)((-9/2)² - 3(6)) =-9/2(81/4 - 18) =-9/2(9/4) =-81/826..............................
GivenEquation ax² + bx + c = 0 with the roots α and βTo findExpress (1 - α³)(1 - β³) in terms of a, b and cSolutionThe sum and the product of the roots
α + β = - b/aαβ = c/aThe expression is evaluated as follows:
(1 - α³)(1 - β³) = 1 - (α³ + β³) + α³β³ =1 - (α + β)((α + β)² - 3αβ) + (αβ)³ =1 - (-b/a)((-b/a)² - 3c/a) + (c/a)³ =1 + (b/a)³ + 3bc/a² + c³/a³ =1 + (b³ + c³ + 3abc)/a³ =(a³ + b³ + c³ + 3abc)/a³Draw a circle of radius 4cm construct a pair of tangents to it the angle between which is 60°
Answers
Step-by-step explanation:
i hope its image help youRachel multiplied each side of ≥x greater than or equal to 2 by 3. She wrote the result as ≤3 x less than or equal to 6 . Explain the error Rachel made.
Answers
Answer:
Rachel's error is in the inequality sign
Step-by-step explanation:
Given
[tex]x \geq 2[/tex]
Required
Determine the error in Rachel's workings
From the question, we understand that both sides of the inequality were multiplied by 3
i.e.
[tex]3 * x \geq 2 * 3[/tex]
This gives
[tex]3 x \geq 6[/tex]
Comparing this to Rachel's result: [tex]3 x \leq 6[/tex]
We can conclude that Rachel's error is in the inequality sign.
The sign of an inequality will only change is it is being multiplied or divided by a negative number; otherwise, the sign remains unchanged
Question 19
The smallest number by which 45 should be multiplied so as to get a perfect square is
(1 Point)
3
05
O 7
O2
Answers
Answer:
45 * x = 49
x = 49 / 45 = 1.0888888888888...
Step-by-step explanation:
5x+x=-18
solve for x
Answers
Answer:
x=-3
Step-by-step explanation:
5x+x=-18 Combine like terms.
6x=-18 Divide by 6 on both sides.
/6 /6
x=-3
Hope this helps...have an amazing day Σ(っ °w °;)っ
Donald Duck has the option of being paid biweekly or weekly? He chooses
weekly because he tells you, more paychecks means more money. What
would you tell him?
A. Donald you are wrong. You get more money if you get paid biweekly, the checks are
double
B. not enough information
C. Donald you are wrong. Its the same amount of money in a year.
D. Donald you are right. I am changing to weekly paychekcs.
Answers
Answer:
b
Step-by-step explanation:
doesn't tell the amount of money each check he gets
Answer:
answer is C
C. Donald you are wrong it's the same amount of money in a year
Carlos pays $25 for skis and borrows the remaining amount. The loan payments are $75 every 3 months for 1/1/2 years. The interest rate is 16.2%/a compounded quarterly. What was the selling price of the skis?
Answers
Answer:
$417.52
Step-by-step explanation:
Present value of annuity = P * {1-[1/(1+r)^n]/r}
P =Periodic payment i.e. 75
r = rate of interest per period i.e. 16.2% /4 = 4.05% or 0.0405
n =no. of compounding period i.e. 1.50*4 =6
Present value of annuity = Loan amount
Present value of annuity = 75 * {1-[1/(1+0.0405)^6]/0.0405}
Present value of annuity = 75 * {1-[1/(1.0405)^6]/0.0405}
Present value of annuity = 75 * {1-[1/1.268973)/0.0405}
Present value of annuity = 75 * (1-0.78804)/0.0405
Present value of annuity = 75 * (0.21196/0.0405)
Present value of annuity = 75 * 5.23361
Present value of annuity = 392.52
Loan amount = $392.52
Selling price = $392.52 + $25.00
Selling price = $417.52
Thus, the selling price of the skis is $417.52
i need help what is w-8=32
Answers
Answer:
w=40
Step-by-step explanation:
w=40 because when you subtract 40-8 the sum is 32 so W=40
w-8=32
------------------------------------------------------------------------------------------------------
add 8 to -8, and 32.
8 and -8 will cancel out. 32 and 8 will increase though. So, it should be:
w=40
Katie is making chocolate candies for her classmates' Valentine's Day gifts. She melts 12.8 ounces of chocolate and divides it among 40 candy molds. If Katie divided the melted chocolate evenly, how much would each candy weigh?
Answers
Answer:
0.32 ounces of chocolate per mold
Step-by-step explanation:
ILL MARK BRAINLEST IF YOU GIVE ME RIGHT ANSWER!!!! Which of the following is a Pythagorean triple?
A. (3,4,6)
B. (10, 12, 15)
C. (5,5, 10)
D. (6,8,10)
Answers
Answer:
C.(5,5,10)
1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 14, 16, 18, ... 5, 10, 13, 15, 17, 20, 26, 29, 30, 34, 35, ... 25, 50, 75, 100, 150, 169, 175, 200, 225, ...
Which of the following completes the rule for this translation, (x, y) → (x − 8, ___)?
Answers
Answer:
y + 3
Step-by-step explanation:
Just took test :)
Answer:y+3
Step-by-step explanation:took a test
Priya rode her bike 1250 feet. If her bike wheel has a diameter of 2.5 feet, how many times did her wheel make a full rotation? *
9 points
79 times
159 times
398 times
Answers
Answer:
159 timesStep-by-step explanation:
Givend = 2.5 ftDistance = 1250 ftTo findNumber of rotationsSolutionCircumference of the wheel is the one full rotation:
C = πd = 3.14*2.5 = 7.85 ftNumber rotations:
1250/7.85 = 159.2Correct option is 159 times
5,342 divided by 4 *********
Answers
Answer:
1335.5
Step-by-step explanation:
Answer:
10/171
Step-by-step explanation:
FOR A TEST PLS HELP!
A circle has a circumference of 21.98m. What is the diameter?
Answers
What is the product of 35 and 434?
A. 21720
B. 3320
C. 4310
D. 515
Answers
Answer:
none of the answer choices are correct.
CORRECT ANSWER: 15,190
Answer:
The actual product is 15,190
Step-by-step explanation:
mathematics, Mariana and her juice
Answers
Answer:
2350
Step-by-step explanation:
Answer:
2350
Step-by-step explanation:
You just add both of the apple and cranberry juice together then subtract by 1900.
-2x + 15 = 7
Show your work steps and solution
Answers
Answer:
-2x+15=7
-15
-2x=7
+15
-2x=22
then divide -2 by 22 and you get -11
Step-by-step explanation:
hopefully this is right
joseph save 50% of his allowance each week if he saves $25 in 5 weeks how much allowance does joseph receive each week
Answers
Answer:
10 dollars
Step-by-step explanation:
Oceanside Bike Rental Shop charges 12 dollars plus 6 dollars an hour for renting a bike. Write an expression for the cost of renting bikes for x hours.
Answers
Answer:
[tex]y = 12 + 6x[/tex]
Step-by-step explanation:
Given
[tex]Base\ Amount = 12[/tex]
[tex]Additional = 6[/tex] per hour
Required
Determine the expression for the cost in x hours
Represent the cost with y
y is calculated using the following expression
[tex]y = Base\ Amount + Additional * x[/tex]
Where x represent the number of hours.
Substitute values for the base amount of bike and the additional cost per hour
[tex]y = 12 + 6 * x[/tex]
[tex]y = 12 + 6x[/tex]
So, the expression to determine the cost of bike in x hours is: [tex]y = 12 + 6x[/tex]
Dr. Cohn is testing how long it takes for a person's body to process a new medicine. She observes that the medicine is used by the body at a constant rate. For her latest test, Dr. Cohn starts with 15 milligrams of the medicine and notes that 12.6 milligrams remain unused after 1 hour. Which equation could Dr. Cohn use to solve for p, the percentage of the medicine that is used in 1 hour? A. p100=12.615 B. p100=2.415 C. p15=1002.4 D. p15=10012.6
Answers
Answer:
the options were not copied correctly, option B could be correct but it is missing the division signs:
B. p / 100 = 2.4 / 15
the percentage of medicine used in 1 hour:
p / 100 = (15 - 12.6) / 15 = 2.4 / 15
p / 100 = 0.16
p = 0.16 x 100 = 16%
another option could be C but it would be missing the multiplication signs:
C. p x 15 = 100 x 2.4
p x 15 = 240
p = 240 / 15 = 16%
Factor the GCF: −14y2 + 12y − 22
Answers
Answer: The answer is x(x^4+7x^3y^3–8y^4+14y).
Step-by-step explanation:
Where is the Y- intercept at
Answers
Answer:
(0, -2)
Step-by-step explanation:
The y-intercept is where the graph crosses through the y axis, when x is equal to 0. On this graph, the line goes through the y-axis at -2. At -2, we can also see that x=0
In general, the y-axis of a graph will always be (0, y).
please help i’ll give brainliest
Answers
Step-by-step explanation:
maybe 11 I'm not a 100% just trying to help because that's how many full squares it has
-22 + 36
adding and subtracting integers
plz help me
Answers
Answer:
14
Step-by-step explanation:
This week is representative of how many hours Ricki will work each week during Summer Break. If she earns $9 per hour and there are 12 weeks in summer vacation, what will Ricki’s gross earnings be? Explain your reasoning. Please answer ASAAAAP
Answers
Answer:
The answer would be $18,144.
Step-by-step explanation:
First you have to figure out how many hours are in one week. 168 hours are in one week. The problem is asking us for 12 weeks. You would have to multiply 168 by 12 to see how many hours it would be. 168 times 12 is 2,016. Ricki earns $9 every hour. Next, you would have to multiply the 2,016 by 9 to give you 18,144. I hope this helps.
Nathaly is twice as old as her little sister. The sum of their ages is 24. Letting
the age of Nathaly's little sister be N, write an equation for the problem and
then solve it. Then state how old Nathaly and her little sister are.
Answers
Answer:
AN equation would be N=x•2x
Nathaly would be 16 and her little sister would be 8
May I have brainliest please? :)
A weather station on the top of a mountain reports that the temperature is currently and has
been falling at a constant rate of per hour. Find each temperature. Explain or show your
reasoning.
What was the temperature?
D. An hour ago?
E. 3 hours ago?
F. 4.5 hours ago?
Answers
Answer:
1 hour ago-0*C3
hours ago-(-3*C)
4.5 hours ago- (-9*C
WILL GIVE BRAINLIEST IF RIGHT!!! PLS HELP!!!
Answers
Answer: The answer is C Have a good day
Step-by-step explanation:
Which of the following is the solution to 17 - 2x=-11?
3
-14
14
he
-3
Answers
Answer:
17-2x =-11 I got 14
Step-by-step explanation:
Subtract the 17 from the -11 which will be -28 and then divided -28 by -2 and your answer is 14