Answer: 40 cm, 20 cm, 10 cm
Step-by-step explanation:
Given
Volume of rectangular cuboid is [tex]8000\ cm^3[/tex]
Length of cuboid is [tex]4x[/tex]
width of cuboid is [tex]2x[/tex]
Height of cuboid is [tex]x[/tex]
Volume of cuboid is given by
[tex]\Rightarrow \text{Volume}=\text{length}\times \text{width}\times \text{height}[/tex]
[tex]\Rightarrow V=4x\cdot 2x\cdot x\\\Rightarrow 8000=8x^3\\\Rightarrow x^3=1000\\\Rightarrow x=10\ cm[/tex]
Length =40 cm
width =20 cm
Height =10 cm
what is the meaning of proportional sides.? plz need urgently
In a pair of similar triangles, the corresponding sides are proportional. ... When the sides are corresponding it means to go from one triangle to another you can multiply each side by the same number. In the diagram of similar triangles the corresponding sides are the same color.
( if this is wrong I apologize)
Show your work ‼️ offering 50 points and branliest.
Answer:
PK = 75
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{PK}{WK}[/tex] = [tex]\frac{AK}{NK}[/tex] , substitute values
[tex]\frac{PK}{54}[/tex] = [tex]\frac{62.5}{45}[/tex] ( cross- multiply )
45 PK = 3375 ( divide both sides by 45 )
PK = 75
Verify a ÷ b ≠ b ÷ a , if a = −3/4 and b = 4/5
Given:
[tex]a=-\dfrac{3}{4}[/tex]
[tex]b=\dfrac{4}{5}[/tex]
To verify:
[tex]a\div b\neq b\div a[/tex]
Solution:
We have,
[tex]a=-\dfrac{3}{4}[/tex]
[tex]b=\dfrac{4}{5}[/tex]
Now,
[tex]a\div b=\dfrac{a}{b}[/tex]
[tex]a\div b=\dfrac{-\dfrac{3}{4}}{\dfrac{4}{5}}[/tex]
[tex]a\div b=-\dfrac{3}{4}\times \dfrac{5}{4}[/tex]
[tex]a\div b=-\dfrac{15}{16}[/tex] ...(i)
And,
[tex]b\div a=\dfrac{b}{a}[/tex]
[tex]b\div a=\dfrac{\dfrac{4}{5}}{-\dfrac{3}{4}}[/tex]
[tex]b\div a=\dfrac{4}{5}\times (-\dfrac{4}{3})[/tex]
[tex]b\div a=-\dfrac{16}{15}[/tex] ...(ii)
From (i) and (ii), it is clear that
[tex]a\div b\neq b\div a[/tex]
Hence verified.
Express the area of the entire rectangle. Your answer should be a polynomial in standard form. x+7(top), x+3(side)
Answer:
x^2+12x+35
Step-by-step explanation:
Answer:
x^2+10x+21 is the correct answer
Step-by-step explanation:
yw :)
there are 8 apples and 11 oranges in a bag. what is the ratio of the apples to oranges?
Answer:
8:11
Step-by-step explanation:
For every 8 apples, there are 11 oranges.
Answer:
8 : 11 = 8 : 11
Step-by-step explanation:
Divide both terms by the GCF, 1:
8 ÷ 1 = 8
11 ÷ 1 = 11
The ratio 8 : 11 cannot be reduced further by dividing both terms by the GCF = 1 :
This ratio is already in lowest terms.
Therefore:
8 : 11 = 8 : 11
the graph of the function f(x) is shown
Answer:
where is the graph
and what is your question
could you explain
What's the circumference of a
circle with a radius of 6 inches?
Use 3.14 for pi
Answer:
37.68
Step-by-step explanation:
circumference= 2πr
= 2 x 3.14 x 6
= 12 x 3.14
= 37.68 approximately 37.7
Find an expressions for the nth term, in the following sequence: 1,2,3,4,5
Answer:
aₙ = 1 + 1(n - 1)
Step-by-step explanation:
This is an arithmetic sequence, which will use the equation:
aₙ = a₁ + r(n - 1)
Therefore the expression for the nth term would be:
aₙ = 1 + 1(n - 1)
Hope this helps!
4.
Before hibernation, a bear weighs 990 pounds. The bear loses 32% of his weight
How much does the bear weight after
Answer:
Jjjj
Step-by-step explanation:
Flight
Complete the number sentence to solve.
Three students share 4 feet of ribbon equally.
How many feet of ribbon does each student get?
4 ÷ 3 =
4
3
=
3
Each student's share is
3
feet of ribbon
Answer:
see image below
Step-by-step explanation:
Answer: c
Step-by-step explanation:
how to solve for vertex form
y = -x^2 + 4x – 1
Wrist bands are $1.25 each. Write a direct proportion equation to show the total cost (c) for any number of bands (b)
Answer:
[tex]c=1.25b[/tex]
Step-by-step explanation:
If we know that each band costs $1.25, then we know that 2 bands are $2.50, 3 bands are $3.75 etc. The equation above simply states that each band is $1.25, so $1.25 multiplied by the number of bands gives us a total cost. This follows the formula [tex]y=kx[/tex], for a direct proportion equation. Hope this helped :)
When designing the jumps of a BMX racetrack, the jumps involve a launch ramp and a landing ramp. What are some facts about the placement of these features? Check all that apply.
Answer:
The slope of a launch ramp cannot be too high or too low.
The length of a landing ramp must be long enough for riders to recover from the jump, but short enough so they do not lose speed for the next jump.
The slope of a ramp is found by dividing the height of the ramp by the length of the ramp.
Step-by-step explanation:
Edg2021
Answer:
The slope of a launch ramp cannot be too high or too low.
The length of a landing ramp must be long enough for riders to recover from the jump, but short enough so they do not lose speed for the next jump.
The slope of a ramp is found by dividing the height of the ramp by the length of the ramp.
Step-by-step explanation: Just did this earlier
Tylers mom had a coupon for four dollars each of the train tickets.If they bought If they bought five train tickets and paid a total of $145, what was the original cost of each ticket?
Answer:
The original cost of each ticket will be = $33
Step-by-step explanation:
Number of coupons Tylers mom had = 5
The value of each coupon is = $4
Total value of coupons = 5 x 4 = $20
In order to find the original cost of the ticket, we just have to add the value of coupons to the amount paid for tickets.
The original cost of tickets = $145 + $20
The original cost of tickets = $165
Thus, the original cost of each ticket will be = 165 / 5
Thus, the original cost of each ticket will be = $33
9.
Which statement about this figure is true?
Answer:
The answer should be
• It has no rotational symmetry.
Step-by-step explanation:
A rotational symmetry is when the object still looks the same after some rotation.
I hope this helped :)
You are planning to work in the summer (13 weeks). You
are deciding between working as a lifeguard or a camp counselor. The lifeguard job
pays $12 per hour and a $500 signing bonus. The camp counselor job pays $15 per
hour with no signing bonus.
Answer:
(a) Equations for both
[tex]y = 500 + 12x[/tex] --- lifeguard
[tex]y = 15x[/tex] --- camp counselor
(b) Total pay for 5 days
Lifeguard pays $800
Camp counselor pays $375
(c) Which pays more
Lifeguard job pays more
Step-by-step explanation:
Let
[tex]x \to hours[/tex]
[tex]y \to total\ pay[/tex]
Given
Lifeguard job
[tex]Signing\ bonus = \$500[/tex]
[tex]Rate = \$12/hr[/tex]
Camp counselor job
[tex]Signing\ bonus =\$0[/tex]
[tex]Rate = \$15/hr[/tex]
Solving (a): The equation for both
The total pay for each job is calculated as:
Total Pay = Signing Bonus + Rate * Hours
So, we have:
Lifeguard
[tex]y = 500 + 12*x[/tex]
[tex]y = 500 + 12x[/tex]
Camp counselor
[tex]y = 0 + 15 * x[/tex]
[tex]y = 15x[/tex]
Solving (b): Total pay for 5 days
First, we calculate the total hours worked in 5 days
[tex]x = 5hrs/day * 5days[/tex]
[tex]x = 25hrs[/tex]
So, the pay for each is:
[tex]y = 500 + 12x[/tex]
[tex]y =500 + 12*25[/tex]
[tex]y =800[/tex] --- Lifeguard
[tex]y = 15x[/tex]
[tex]y = 15 * 25[/tex]
[tex]y = 375[/tex] --- camp counselor
Solving (c): Which job pays more
By comparing the solution in (b)
[tex]800 > 375[/tex]
Hence, lifeguard job pays more
Find the value or values of X in the quadratic equation x2=6x-9.
Answer:
x = 3
Step-by-step explanation:
I'm assuming x2 = x^2
x^2=6x−9
x^2−6x=−9
PLEASE ANSWER QUICKLY!!
Martha has a 4-digit combination lock on her briefcase and has forgotten the combination. Each of the four digits on her lock can read any digit from 0 through 9. If she
knows that the first digit is 6, and the second digit is prime, how many numbers must Martha try before the lock is sure to open? (Note: Neither "0" nor "1" are prime
numbers!)
Answer:
224
Step-by-step explanation:
1st Digit - 9 (1 way)
2nd Digit - 2, 3, 5, 7 (4 ways)
3rd Digit - (10-2) ways
4th Digit - (10-3) ways
Therefore, the number of ways are 1 × 4 × 8 × 7
= 224 ways
Explain how to check if two or more ratios are a proportion
Answer:
¿Cómo comprobar que las razones son proporcionales? ,5
Step-by-step explanation:
Para comprobar si dos o más razones son proporcionales se aplica la propiedad fundamental de las proporciones. 1 * 4 = 1 2 2 4 4 = 4 1 2 3 6 1 * 6 = 6 = 6 = = ? ? 1 2 0,5 1 = Así se concluye que las tres razones son proporcionales. 1 * 1 = 1 = 1 1ra forma. 2 * 2 2 * 3 ? 2 * 0,5
PLS HELP. I NEED TO PASS THIS
simplify ratio 12:28:20
Answer:
3 : 7 : 5
Step-by-step explanation:
Given
12 : 28 : 20 ← divide each part by 4 ( the LCM of 12, 28, 20 )
= 3 : 7 : 5
These are the means and standard deviations for samples of prices from two different brands of shoes. Brand A Brand B Mean: $50 Mean: $40 Standard deviation: $5 Standard deviation: $8
Select the two true statements.
A. Brand A has a higher average price than brand B.
B. Brand A has a lower average price than brand B.
C. Brand A's prices are less spread out than brand B's prices.
D Brand A's prices are more enread out than brad pie
Answer:
A and C
Step-by-step explanation:
just took the test
The graphs below have the same shape. What is the equation of the red
graph?
5
Answer:
A is ur answer
What is the diameter of a hemisphere with a volume of 272\text{ m}^3,272 m
3 , to the nearest tenth of a meter?
Answer:
D = 10.1m
Step-by-step explanation:
We know that the volume of a sphere of radius R is:
V = (4/3)*pi*R^3
where pi = 3.14
A hemisphere is half a sphere, then the volume of an hemisphere is half of the volume of a sphere, then the volume of a hemisphere of radius R is:
V' = (1/2)*(4/3)*pi*R^3
Now, we know that our hemisphere has a volume:
V' = 272m^3
Then we can solve the equation:
272m^3 = (1/2)*(4/3)*pi*R^3
For R.
(we want the diameter, but remember that the diameter is equal to two times the radius, so finding the radius is a good start)
272m^3 = (1/2)*(4/3)*pi*R^3
272m^3 = (4/6)*3.14*R^3
272m^3*(6/4*3.14) = R^3
∛( 272m^3*(6/4*3.14) ) = R = 5.06 m
And the diameter is two times that, so we get:
D = 2*5.06m = 10.12 m
Rounding this to the nearest tenth of a meter (first digit after the decimal dot), we get:
D = 10.1m
What is the value of x? (giving brainliest and thanks to all!)
Answer:
x° = 64°
Explaination:
This is a right angled triangle so one of the angle is 90°.
So, x° + 90° = 154° (Exterior angle property)
x° = 154° - 90° = 64°
Therefore x° = 64°
En una camioneta se pueden transportar 28.5 kilogramos. ¿ Cuántas camionetas se necesitan para transportar 484.5 Kg?
Answer:
The number of trucks required is 17.
Step-by-step explanation:
28.5 kilograms can be transported in a van. How many trucks are needed to transport 484.5 Kg?
For the transportation of 28.5 kg, one truck is required.
Total mass = 484.5 kg
The number of trucks required is
n = total mass/ mass of one
[tex]n=\frac{484.5}{28.5}\\\\n = 17[/tex]
The graph of a linear function
has slope -7/3 and y-intercept 5.
Write an equation for this
function.
Answer:
y = -7/3x + 5
Step-by-step explanation:
Please help me with this question its due tonight!!
Answer:
f(x)=5x²+2x-5,G(x) =7x+8,H(x)=4x²-10
Find the opposite of the integer -5.
Answer:
5
Step-by-step explanation:
The opposite of -5 is 5. You find this opposite by switching the negative sign to a positive sign.
Answer:
5
Step-by-step explanation:
Just take away the sign or add the sign from the number to get a integer. There you go it's just that easy️ enjoy good day
3n^5 ÷ 6n^3 how to solve using properties of exponents
Answer:
(n^2)÷2
Step-by-step explanation: