Answer: Volume is 64 m³
Step-by-step explanation: In cubical box all sides have equal length.
Lets mark length of side a. So base is a square which area is a² = 16 m²2² and
lenght of a = √(16 m²) = 4 m . Volume of cube is a³
Write a quadratic relation in the form y = ax2 + bx + c with roots 4 and - 3 and
passing through the point (3, -12).
Answer:
y = 2*x^2 - 2*x - 24
Step-by-step explanation:
If we have a quadratic function with roots a and b, we can write the equation for that function as:
y = f(x) = A*(x - a)*(x - b)
Where A is the leading coefficient.
In this case, we know that the roots are: 4 and -3
Then the function will be something like:
f(x) = A*(x - 4)*(x - (-3) )
f(x) = A*(x - 4)*(x + 3)
Now we need to determine the value of A.
We also know that the graph of the function passes through the point (3, -12)
This means that:
f(3) = -12
Then:
-12 = A*(3 - 4)*(3 + 3)
-12 = A*(-1)*(6)
-12 = A*(-6)
-12/-6 = A
2 = A
Then the equation is:
y = f(x) = 2*(x - 4)*(x + 3)
Now we need to write this in standard form, so we just need to expand the equation:
y = f(x) = 2*(x^2 + x*3 - x*4 - 4*3)
y = f(x) = 2*(x^2 - x - 12)
y = f(x) = 2*x^2 - 2*x - 24
Then the relation is:
y = 2*x^2 - 2*x - 24
5 miles = 5,000 feet
O A. True
O B. False
Answer:
1 miles is 5280 so False
Step-by-step explanation:
A flotation device used for swimming lessons is the shape of a rectangular prism. It is 2 1/2 feet wide, 4 1/8 feet long, and 1/2 foot tall. What is the volume of the flotation device? 1. 5 5/32 cubic feet 2. 7 1/8 cubic feet 3. 8 1/32 cubic feet 4. 10 5/16 cubic feet
Answer:
[tex]V=5\dfrac{5}{32}\ feet^3[/tex]
Step-by-step explanation:
Given that,
The width of prism, b = 2 1/2 feet
Length, l = 4 1/8 feet
Height, h = 1/2 foot
We need to find the volume of the flotation device. The formula for the volume of a rectangular prism is given by :
[tex]V=lbh\\\\V=\dfrac{5}{2}\times \dfrac{33}{8}\times \dfrac{1}{2}\\\\=\dfrac{165}{32}\ feet^3\\\\=5\dfrac{5}{32}\ feet^3[/tex]
So, the volume of the flotation device is equal to [tex]5\dfrac{5}{32}\ feet^3[/tex].
Can anyone please explain how to find the area of each type of 3d composite figure? Please make it easy for me to remember, long paragraphs make it hard, Thanks! if your explaintion helps me I'll give you brainliest!
Answer:
Ok look i dont know but
Step-by-step explanation:
if you like this i will gift you a prize.
Which of the points shown below are on the line given by the equation y = 2x? Check all that apply.
A. Point A: (1, 2)
B. Point B: (-1, -2)
C. Point C: (4, 2)
D. Point D: (0, 2)
Hey there I just saw no one answered this problem and I know this is a little late but I will answer it anyways.
Answer: The answer to this problem would be points A and B
8 (x + 4) = 62.4 what does x represent
Answer:
8 (3.8 + 4)
Step-by-step explanation:
x=3.8
PLEASE HELP ASAP!! No explanation needed. Just yes or no please!
Answer: A) Yes, it is a solution.
=================================================
Explanation:
Replace every x with -3 and simplify both sides.
3x - 2 < 2 - 2x
3(-3) - 2 < 2 - 2(-3)
-9 - 2 < 2 + 6
-11 < 8
Since -11 is to the left of 8 on the number line, this means the inequality -11 < 8 is true. Consequently, it means the first inequality is true when x = -3.
Therefore, x = -3 is a solution.
Angad was thinking of a number. Angad adds 11, then divides by 8 to get an answer of 5. What was the original number?
Answer:
29
Step-by-step explanation:
x+11÷8=5
5 × 8 = 40
40- 11 = 29
29 + 11 ÷ 8 =5
Can someone pls tell me what the little symbol is pls.
Answer:
plus minus
Step-by-step explanation:
Answer:
-Symbol: ±
-Symbol Name: plus - minus
-Meaning / definition: both plus and minus operations
~~~~~~~~~~~~~~~~~~~
-Example: 3 ± 5 = 8 or -2
3+5=8
or
3-5=-2
I need help with this please help meeee:(!
Answer:
f=c+2
Step-by-step explanation:
The product of a number and 3 is the sum of the number and 12. What is the number
Answer:
6
Step-by-step explanation:
3n = n + 12
2n = 12
n = 6
Answer:
6
Step-by-step explanation:
let the number be x , then
3x = x + 12 ( subtract x from both sides )
2x = 12 ( divide both sides by 2 )
x = 6
That is the number is 6
Please hurry, this is past due!
A triangle has an altitude with height 7 cm. Which of the following have a proportional relationship to the height? Select all that apply.
A.The perimeter
B.The sides
C.The angles
D.The area
E.The vertices
Ten students participated in the 4 mile relay. Each student ran a fraction of the 4 miles. Chooses which line plot could represent the data of the runners. Explain your reasoning.
Answer:
B
Step-by-step explanation:
We can determine the total miles run by the 10 students by adding all the miles run by each individual student:
A
1 student * 1/12 miles = 1/12 miles
2 students * 1/8 miles = 2/8 miles = 1/4 miles
1 student * 1/6 miles = 1/6 miles
2 students * 1/4 miles = 2/4 miles = 1/2 miles
1 student * 1/3 miles = 1/3 miles
3 students * 1/2 miles = 3/2 miles
We add all these fractions to obtain 17/6, which is approximately 2.83, which is not as the question describes.
B
2 students * 1/6 miles = 1/3 miles
2 students * 1/4 miles = 1/2 miles
2 students * 1/3 miles = 2/3 miles
3 students * 1/2 miles = 3/2 miles
1 student * 1 mile = 1 mile
We add all these fractions to obtain 4 miles, which is as the question describes.
Does anyone know this
Answer:Answer:
13.0feet
Step-by-step explanation:
Given ΔDEF with ∠F=90°, the measure of ∠D=19°, and DE = 40 feet, since one of the angles of the triangle is 90°, the triangle is a right angled triangle as shown in the attachment.
Using SOH, CAH, TOA to get the unknown EF.
Since <D is opposite to side EF, EF will be the opposite while side DE will be the hypotenuse
Based on SOH:
Sin<D = Opposite/Hypotenuse
Sin<D = EF/DE
Sin19° = EF/40
EF = 40sin19°
EF = 13.0 feet to the nearest tenth of a foot
Please help we with this angle relationship
Answer:
x=5 30 degrees
Step-by-step explanation:
theres 90 degrees in the right angle and you already have 60 degrees so you know it has to equal to 90 degrees so it has to be 30 degrees and 6 x 5 is equal to 30
Simplify 3(-6+4) please
Answer:
−6
Step-by-step explanation:
3(−6+4)
=(3)(−2)
= −6
Hope this helps :)
Do the Brackets
-6+4=-2
Now multiply 3 and -2
3*-2=-6
You have your answer
-6
Amber wants to go to a university where the tuition is $7500 per year. She has a scholarship that pays for 50% of his tuition. Her parents have given her $2000 toward her first year's tuition. How much money does Amber need to save to be able pay for first year of her college?
Answer:
1750
Step-by-step explanation:
divide 7500 by 2 and you get 3750
3750-2000=answer
Answer:
1750
Step-by-step explanation:
7500/2=3750 (amount paid by scholarship). This leaves her owing 3750 but her parents are paying 2000.
3750-2000=1750 needed to save.
Solve active attachment
i don’t know at this point pls report this answer so someone else can help them
Find the slope of a line perpendicular to this given line: x - y = -2
the answer is 1
as the formula is:
m= -coefficient of x / coefficient of y
where coefficient of x is 1 and coefficient of y is -1
What does the a equal in this problem: 27 = 3°?
Answer:
a= 3
Step-by-step explanation:
Paula is painting a henhouse. If a can of paint
will cover 24 square feet, how many cans of
paint does she need to buy? Explain the steps
she might take to solve this problem
Answer:
Kindly check explanation
Step-by-step explanation:
To Obtian the number of cans of paints to be purchased;
1.) Find the area of the penthouse in feet². This gives the value of the whole area of the penthouse to be painted.
2.) since 1 can of paint is said to cover 24 feet²
3.) Divide the area of the penthouse by 24 feet² ; this will give the number of cans of paints to be purchased.
By taking the simple steps above, the number of cans of paints needed will be obtained.
PLEASE HELP!!!! I NEED THE ANSWERS URGENTLY!
Find each missing length. Give all answers in simplest radical form.
Answer:
10^2 + 14^2
100 + 196 = 296
296: 17 x 17 = 289 CLOSE ENOUGH
17^2 = 289 which is close to 296
17 is your answer.
factorise
3(m-4)+b(4-m)
Answer:
-(m-4)(b-3)
Step-by-step explanation:
Add and subtract the second term to the expression and factor by grouping
Answer:
(m-4) (3-b)
Step-by-step explanation:
See the steps below:)
A rectangular park is 100 yards wide and 145 yards long.
Give the length and width of another rectangular park that has the same perimeter but a larger area.
Answer: width=295 lenght =295
Step-by-step explanation:perimeter=l plus l and w plus w
100 plus 100 plus 145 plus 145=490/2=245
Answer:
width = 110 yards
length = 135 yards
Step-by-step explanation: I think.
1. Find the surface area of the prism.
2. Find the volume of the pyramid.
Answer:
1. surface area is 280 2. 144
Step-by-step explanation:
please mark as brainliest if correct
thank you
Calculate the volume of a cylinder of diameter 6cm and height 10cm
Answer:
565.2
Step-by-step explanation:
565.2
95 feet above sea level would be expressed by the
Answer:
Above sea level x+95
Step-by-step explanation:
brainliest?
Find the median. 90, 88, 100, 82, 80.
Answer:
100 is the median for te above observations
HOPE IT HELPEDAnswer:
The median is 88.
Step-by-step explanation:
thirty-six men can paint a shopping mall in 25 days. How many days will it take 15 men to paint the mall, if they work at a same rate?
Answer:
12.5 days
Step-by-step explanation:
Given
No of workers= 30
Time taken to paint shopping mall= 25 days
Assume time taken for 15 men =X
Time taken for 15men to paint X= (15*25)/30
=12.5 days
need help finding area