Answer:
The length, breadth and height of cuboid are 60 cm, 40 cm and 20 cm.
Step-by-step explanation:
Let,
The height of cuboid be X cm.The length of cuboid is three times of it's height. So, it will be 3x.The breadth of cuboid is two times of it's height. So, it will be 2x.Now, substuting all the given values in the formula to find the value of x.
[tex]\longrightarrow{\sf{V_{(Cuboid)} = l \times b \times h}}[/tex]
➝ V = Volume ➝ l = length ➝ b = breadth➝ h = height[tex]\begin{gathered} \qquad\longrightarrow{\sf{V_{(Cuboid)} = l \times b \times h}}\\\\\qquad\longrightarrow{\sf{48000 = 3x \times 2x \times x}}\\\\\qquad\longrightarrow{\sf{48000 = 3x \times 2{x}^{2}}}\\\\\qquad\longrightarrow{\sf{48000 = 6{x}^{3}}}\\\\\qquad\longrightarrow{\sf{{x}^{3} = \dfrac{48000}{6}}}\\\\\qquad\longrightarrow{\sf{{x}^{3} = 8000}}\\\\\qquad\longrightarrow{\sf{x = \sqrt[3]{8000}}}\\\\\qquad\longrightarrow{\sf{x = 20}}\\\\ \qquad{\star{\underline{\boxed{\sf{\purple{x = 20}}}}}} \end{gathered}[/tex]
Hence, the value of x is 20.
Now, we know the value of x. So, calculating the dimensions of cuboid :
Length = 3x
➝ 3 × 20➝ 60 cmBreadth = 2x
➝ 2 × 20➝ 40 cmHeight = x
➝ 1 × 20➝ 20 cm[tex]\rule{300}{2.5}[/tex]
. Check the given measurements whether it could make a triangle
(a) 7 cm, 2 cm and 5 cm
(b) 10 cm, 12 cm and 14 cm.
Answer:
They do not make triangles.
Step-by-step explanation:
You automatically know that c is going to be the biggest number of each triangle since it is the largest side. So you would use both of these formulas:
a² + b² = c²
[tex]2^{2}[/tex] + [tex]5^{2}[/tex] = [tex]7^{2}[/tex] which is false
10² + 12² = 14² is false as well
Hope this helps!!
Rickets Vitamin D is essential for strong, healthy bones. Our bodies produce vitamin D naturally when sunlight falls upon the skin, or it can be taken as a dietary supplement. Although the bone disease rickets was largely eliminated in England during the 1950s, some people there are concerned that this generation of children is at increased risk because they are more likely to watch TV or play computer games than spend time outdoors. Recent research indicated that about 20% of British children are deficient in vitamin D. Suppose doctors test a group of elementary school children.
a) What’s the probability that the first vitamin D– deficient
child is the eighth one tested?
b) What’s the probability that the first 10 children tested
are all okay?
c) How many kids do they expect to test before finding
one who has this vitamin deficiency?
d) They will test 50 students at the third-grade level. Find
the mean and standard deviation of the number who
may be deficient in vitamin D.
e) If they test 320 children at this school, what’s the
probability that no more than 50 of them have the vita- min deficiency?
Answer:
Our wide range of vitamins, minerals and health supplements help to ensure you’re getting the nutrients you need every day. From chewable vitamins to food supplements, hair vitamins to vitamins for skin and folic acid. There is something for everyone to support a healthy lifestyle, whilst improving wellbeing for you and all the family.
Today, Petland sold 8 times as many dogs as cats. If a total of 72 dogs and cats were sold, how many cats were sold?
The product of a number t and 3 decreased by 1 is 11.Write an equation that models the verbal sentence. Solve the equation. What is the number?
Need help with this ASAP I’ll mark brainliest
Answer:
option 3
Step-by-step explanation:
The translation [tex]T_{3, - 4}[/tex] means add 3 to the x- coordinate and subtract 4 from the y- coordinate, then
(- 5, 2 ) → (- 5 + 3, 2 - 4 ) → (- 2, - 2 )
HELP!!
FAST!!
Lola needs to sign 96 invitations. Using a stopwatch that measures time to tenths of a second, it takes Lola 5.3
seconds to sign her full name. Going by the accuracy of the stopwatch, which is the most accurate determination for
the number of seconds Lola needs to sign all 96 invitations?
O 508 seconds
O 510 seconds
509 seconds
O 508.8 seconds
Answer:
5.3 seconds is needed for one signature.
Hence, for 96 signatures, it would take
[tex]96*5.3=508.8[/tex] seconds.
The number of seconds Lola needs to sign all 96 invitations is,
⇒ 508.8 seconds
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Lola needs to sign 96 invitations.
And, Using a stopwatch that measures time to tenths of a second, it takes Lola 5.3 seconds to sign her full name.
Since, No of invitation's =96
And, Time required to sign 1 invitation = 5.3seconds
So, Let the time required to sign 96 invitation = x
Hence, We get;
x = 5.3 x 96
= 508.8 seconds
Thus, The number of seconds Lola needs to sign all 96 invitations is,
⇒ 508.8 seconds
Learn more about the multiplication visit:
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What to do after combining terms?
Answer: I might be wrong but...
x = 2 1/3
Step-by-step explanation:
1 1/4x + 3 = 4 3/4 + 1/2x
- 1/2x -1/2x
3/4x + 3 = 4 3/4
- 3 - 3
3/4x = 1 3/4
3/4x / 3/4 = 7/4 / 3/4
x = 2 1/3
will give brainliest
g(x) = 2x + 4
h(x) =-3x + 4
Find (goh)(x)
Answer:
g(x)o(x) = -6x²-4x+16
PLSSS HELP!!!! I offer 25 points!!
A box has a volume of 1008 cubic inches. Your friend told you that he found the polynomial that represents the volume of the box: 4x³-28x² +144x. If x is the height of the box how tall is the box?
Answer:
7 inches tall
Step-by-step explanation:
A graphing calculator quickly finds the solution to the cubic equation. It is convenient to define ...
f(x) = 4x^3 -28x^2 +144x -1008
so f(x) = 0 gives the value of x that is of interest. That value is x=7.
The box is 7 inches tall.
_____
The equation f(x) = 0 can be divided by 4 to give ...
x^3 -7x^2 +36x -252 = 0
This can be factored by grouping:
(x^3 -7x^2) +(36x -252) = 0
x^2(x -7) +36(x -7) = 0
(x -7)(x^2 +36) = 0
The only real root is x = 7, which makes a factor zero.
_____
Additional comment
For finding solutions to cubic and higher-degree polynomials, I find a graphing calculator to be an extremely helpful tool. Desmos provides an online calculator and apps for various platforms. It may take a little while to learn how to use it effectively, but it can save immense amounts of time and frustration. Of course, your handheld graphing calculator can be just as useful.
Translate the situations into equations and solve
The lengths of the sides of a triangle are
consecutive even integers. Find the length of the
longest side if it is 14 units shorter than the
perimeter.
THIS IS URGENT PLS HELP!
Please help and no links;)
Answer:
3w + 8 = 2
Step-by-step explanation:
product of a number and 3 is w * 3
eight more than the above is 3w + 8
which is equal to 2
3w + 8 = 2
If anyone could plz help ill really appreciate it
Answer:
Help with what is it mental help? Or no cause I’ve dealt with that a lot
Step-by-step explanation:
Find the value of x and y and each labeled
angle.
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The required values are ~
[tex]\fbox \colorbox{black}{ \colorbox{white}{x} \: \: \: \: \: \: \: \: \colorbox{white}{=} \: \: \: \: \: + \colorbox{white}{40 \degree}}[/tex]
[tex]\fbox \colorbox{black}{ \colorbox{white}{y} \: \: \: \: \: \: \: \: \colorbox{white}{=} \: \: \: \: \: + \colorbox{white}{80 \degree}}[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
From the given figure, we can infer that ~
3x - 20° + 2x = 180°(by linear pair)
now, let's solve for x ~
[tex]5x - 20 \degree = 180 \degree[/tex][tex]5x = 180 \degree + 20 \degree[/tex][tex]5x = 200 \degree[/tex][tex]x = 200 \degree \div 5[/tex][tex]x = 40 \degree[/tex]And, we can see that 2x = y (by alternate interior angle pair)
So, let's find the value of y ~
[tex]2x[/tex][tex]2 \times 40 \degree[/tex][tex]80 \degree[/tex]Answer:
x = 40
3x - 20 = 100
2x = 80
y = 80
2x - 15 = 65
Step-by-step explanation:
The angles 3x - 20 and 2x are a linear pair, so they are supplementary. Their measures has a sum of 180°.
Angles 2x and y are alternate interior angles, so they are congruent.
Once we find the value of x, we can find the measure of angle 2x - 15.
3x - 20 + 2x = 180
5x = 200
x = 40
3x - 20 = 3(40) - 20 = 120 - 20 = 100
2x = 2(40) = 80
y = x = 80
2x - 15 = 2(40) - 15 = 80 - 15 = 65
I need 30 please thank you
Answer:
ok good morning
have a nice day
Step-by-step explanation:
#toxicsquad
Answer:
i think its 7, but you should probably check that...
PLEASE HELP! Identify the quadrants and the ordered pair for each given points in the rectangular plane.
Answer:
Step-by-step explanation:
A (0,8) Q = IB (-1, -7) Q = III C (-2, 1) Q = IID (4, -3) Q = IVE (5,3) Q = IA warehouse stores thousands of marble slabs of different shapes, sizes, and materials that are used for construction projects. The manager wants to estimate the average weight of these slabs. The slabs are arranged in stacks that have about101010 slabs of different varieties. The manager wants to weigh a random sample of100100100 slabs.Why might the manager choose a cluster random sample instead of a stratified random sample in this setting?
Answer: Both B and C
B. It will probably be easier to weigh heavy slabs that are stacked together rather than pulling out some slabs from different stacks.
C. Each stack has a variety of slabs, so choosing all of the slabs in some of the stacks should represent the population fairly well.
Step-by-step explanation:
B. By weighing entire stacks, the manager would only need to retrieve, weigh, and return about 101010 units. By weighing fewer slabs per stack, there are many more steps in the process and it is more complicated to track where to return the weighed slabs.
C. If each stack reflects the variety in the population, then choosing the stacks as clusters is a good way to get a sample that looks like the population.
si el largo de un rectangulo es 2 cm más que el ancho y tiene un perimetro de 52 cm cual es el largo y cual es el ancho?
Answer:
ancho: 12 cm
Largo: 14 cm
Step-by-step explanation:
[tex]P=2a+2l[/tex]
[tex]l=a+2[/tex]
[tex]P=2a+2(a+2)=2a+2a+4[/tex]
[tex]P=4a+4[/tex]
[tex]52=4a+4[/tex]
[tex]52-4=4a[/tex]
[tex]48=4a[/tex]
[tex]48/4=a[/tex]
[tex]12=a[/tex]
largo = ancho + 2 = 12 +12 = 14 cm
Hope this helps
please help! with work please Zeroes of polynomials. will give brainliest!
Answer: 4k^2 - 9k - 9 = 0
Step-by-step explanation:
lmk if i was right please and ty
help please??????????????????
Answer:
-5 and 2
-2 and -1
-3 and 0
There is no shortcut to solving this type of problem. You just have to use trial and error.
:)
Answer:
-2+ (-3)
-5+ 0
-1+ (-2)+ (-2)
Hope this helps!
LMK if it does
What is the area (what is the height)
Answer:
5 i think
Step-by-step explanation:
The trapezoid's height (h) is 4 mm(millimeters).
Formula to calculate a trapezoid's height;
2 x Area ÷ by A(short base) + B(large base)
Terry lost 4 pounds over the summer this is for more than half the weight she wanted to lose by December how much does Terry want to lose
Answer:
7 pounds?
Step-by-step explanation:
Can you please help I’ll give you points I need help if I can’t pass this I can’t play in my basketball game Sunday
Answer:
m∠X = 70°
Step-by-step explanation:
In congruent triangles, corresponding parts have the same measures. In ΔABC and ΔXYZ, the corresponding parts are ...
∠A = ∠X = 70° . . . . . . . . . . . matches choice A
∠B = ∠Y = (90° -70°) = 20°
∠C = ∠Z = 90°
AB = XY = √(3.5² +9.6²) ≈ 10.22 cm
BC = YZ = 9.6 cm
AC = XZ = 3.5 cm
Answer:
m∠X = 70°
Step-by-step explanation:
In congruent triangles, corresponding parts have the same measures. In ΔABC and ΔXYZ, the corresponding parts are ...
∠A = ∠X = 70° . . . . . . . . . . . matches choice A
∠B = ∠Y = (90° -70°) = 20°
∠C = ∠Z = 90°
AB = XY = √(3.5² +9.6²) ≈ 10.22 cm
BC = YZ = 9.6 cm
AC = XZ = 3.5 cm
What is Arithmetic ?
Answer:
Arithmetic is a branch of mathematics that consists of the study of numbers, especially concerning the properties of the traditional operations on them - addition, subtraction, multiplication, division, exponentiation, and extraction of roots.
Answer:
The arithmetic mean is the simplest and most widely used measure of a mean, or average. It simply involves taking the sum of a group of numbers, then dividing that sum by the count of the numbers used in the series.
Step-by-step explanation:
Graph the following features: Slope = 4 Y-intercept = 4
Answer:
Step-by-step explanation:
Equation of the line
[tex]\\ \sf\longmapsto y=mx+b[/tex]
m=4b=4[tex]\\ \sf\longmapsto y=4x+4[/tex]
Level: Easy
A football team loses 6 yards on their first play. It gains 8 yards on the next play. Which number line best represents the sum -6+8?
A)
B)
C)
D)
A number, X, rounded to 1 decimal place is 3.7
Write down the error interval for x.
point (3,4) what is the point after the transformations?
rotation 180° around origin
reflection over the y axis
translate 3 up and 2 left
Answer:
in the picture
hope this helps! :D
Which set of ordered pairs does not represent a function?
O {(-7, -8), (-7,5), (-6,0),(-1,8)}
O {(-2,4), (6,-5), (-6, -9), (1, -5)}
{(8, -2), (3,9), (-1, -5), (-3,9)}
{(9,7), (2,7), (-8, -3), (-1,1)}
Answer:(-7, -8), (-7,5), (-6,0),(-1,8)
Step-by-step explanation:
Functions are relations with one output (y) for any unique input (x).
The first set has two values of y when x = -7: -8 and 5.
The other sets have unique values for each x.
En una panadería, con 80 kg de harina hacen 120 kg de pan. ¿Cuántos kilos de harina serían necesarios para hacer 360 Kg de pan?
Answer:
240 kg
multiplica 360 con 80 y luego dividelo por 120. Que equivale a 240, o divide 120 por 80 que te da 1.5 y multiplicalo por 240 que equivale a el total 360 Kg
Find the perimeter.simplify your answer.
The perimeter of a shape is the sum of its side lengths.
The perimeter of the shape is 24z - 18
Represent the length with l and the width with w.
The dimensions are given as:
[tex]l = 10z[/tex]
[tex]w = 2z - 9[/tex]
So, we have:
[tex]P =2 \times (l + w)[/tex] --- the formula of perimeter
The above equation becomes
[tex]P = 2 \times (10z + 2z - 9)[/tex]
Evaluate like terms
[tex]P = 2 \times (12z - 9)[/tex]
Open brackets
[tex]P = 24z - 18[/tex]
Hence, the perimeter of the shape is 24z - 18
Read more about perimeters at:
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