Answer:
The dimensions of the three possible boxes are;
Box 1: 2 inches length by 4 inches width by 5 inches height
Box 2: 2 inches length by 2 inches width by 10 inches height
Box 3: 8 inches length by 1 inch width by 5 inches height
Step-by-step explanation:
The dimensions of the required box = 40 in³
Therefore, a box that will hold all the cubes will have a dimension given as follows;
Length, l × Width, w × Height, h = 40 in.³
We therefore, look for possible dimensions of l, w, h, however to make is faster, we note that l × w = base area, BA, hence we look for the factors 40 thus;
BA × h ≡ l × w × h
8 × 5 = 40 ≡ 2 × 4 × 5 = 40
4 × 10 = 40 ≡ 2 × 2 × 10 = 40
8 × 5 = 40 ≡ 8 × 1 × 5 = 40
Hence we have our three possible boxes as follows;
Box 1: Length = 2 inches, width = 4 inches and height = 5 inches
Box 2: Length = 2 inches, width = 2 inches and height = 10 inches
Box 3: Length = 8 inches, width = 1 inches and height = 5 inches.
Tina has 10 packages of yarn to knit a scarf. She uses 1/3 package of yarn for each inch of length she adds to the scarf. If Tina uses all the yarn, how long will her scarf be?
Answer:
30 inches
Step-by-step explanation:
She has 10 packages of yarn.
She uses 1/3 package of yarn for each inch of the scarf.
Therefore, 1 package of yarn will be 3 times each inch:
3 * 1 = 3 inches
1 package of yarn goes for 3 inches of scarf.
Therefore, 10 packages will go for:
10 * 3 = 30 inches
There are 4 green marbles, 5 red marbles, and 6 blue marbles in a bag. Find the probability of drawing a red marble, replacing it back in the bag, and then drawing a second red marble *
Answer:
1/9
Step-by-step explanation:
4 green marbles, 5 red marbles, and 6 blue marbles in a bag = 15 marbles
P(red)= number of red/ total = 5/15 = 1/3
Put it back in the bag
4 green marbles, 5 red marbles, and 6 blue marbles in a bag = 15 marbles
P (red)= number of red/ total = 5/15 = 1/3
P(red, replace, red) = P(red) * P(red) = 1/3*1/3 = 1/9
Which of the following statement justifies why the triangle shown below is not a right triangle?
Answer:
The correct answer is A. [tex]4^{2} +12^{2} \neq 13^{2}[/tex]
Step-by-step explanation:
A right angled triangle is the type of triangle in which one of the three angles is [tex]90^\circ[/tex].
For a triangle to be right angled triangle, following equation must hold:
[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Height}^{2}[/tex]
Where Hypotenuse is the largest side of triangle and is opposite to the angle with value [tex]90^\circ[/tex].
Base and Height are the two other sides making an angle of [tex]90^\circ[/tex] with each other.
In the given question figure, largest side, XY = 13 units
Other two sides are:
YZ = 4 units
XZ = 12 units
For this [tex]\triangle XYZ[/tex] to be right angled, the following must be true:
[tex]XY^{2} = XZ^{2} + YZ^{2}[/tex]
[tex]XY^{2} = 13^{2} = 169[/tex]
[tex]XZ^{2} + YZ^{2} = 12^{2} + 4^{2}\\\Rightarrow 144 + 16\\\Rightarrow 160[/tex]
[tex]160 \neq 169[/tex]
Hence, the given triangle is not a right angled triangle because of following:
[tex]4^{2} +12^{2} \neq 13^{2}[/tex]
Hence, option A. is correct answer.
Answer:
its A
Step-by-step explanation:just took test and got 100%
please help quick !!!
Answer:
(-x + 3)/4 = 12
Step-by-step explanation:
By doing the workingout for this expression you will get the same solution.
12 less than a number y
Answer: y- 12
Step-by-step explanation:
12 is less than y so is like 12 being subtracted from y.
Simplify 19 – 1.67 + (–2.4)
How to find the length when the perimeter and width is given
Answer:
Step-by-step explanation:
Step 1:Width x 2
Step 2:Perimeter — step 1
Step 3:Step 2 divided by 2
What is m∠BCD? A. 82 degrees B 168 degrees C. 192 degrees D. 220 degrees
Answer:
m∠BCD = 82°
Option A
Step-by-step explanation:
The opposite angles of quadrilateral inscribed in a circle are supplementary.
i.e m∠A +m∠C = 180°
or, m∠BAD + m∠BCD= 180°
or, 98° + m∠BCD = 180°
or, m∠BCD = 180°-98°
or,m∠BCD = 82°
Answer: A - 82
Step-by-step explanation:
180 - 98 = 82
took the test and got it right.
convert the polar representation of this complex number into its standard form z=4(cos150+isin150).
Answer Choices:
A) (-2, 2√3)
B) (-2√3, 2)
C) (-2√3, -2)
D) (-4, 4√3)
Answer:
B
Step-by-step explanation:
Using the exact values
cos150° = - cos30° = - [tex]\frac{\sqrt{3} }{2}[/tex]
sin150° = sin30° = [tex]\frac{1}{2}[/tex]
Given
z = 4(cos150° + isin150° ) , substitute values
= 4(- [tex]\frac{\sqrt{3} }{2}[/tex] + [tex]\frac{1}{2}[/tex]i )
= - 2[tex]\sqrt{3}[/tex] + 2i , that is
(- 2[tex]\sqrt{3}[/tex], 2 ) → B
These tables of values represent continuous functions. For whichfunction
will the y-values be the greatest for very large values of x?
PLEASE HELP!!!
I think it's B because it contains the highest numbers
Answer:
D
Step-by-step explanation:
The answer is D because every time x increase by 1, the y is tripling. Making it so that as x gets larger and larger, the y will become the larger than the other choices.
The size of a TV set is described by the length of a diagonal of the screen. One TV is labeled as size 70cm. The screen is 40cm high.
What is the width of the screen?
Draw a diagram to illustrate your answer.
Answer:
Width of screen =57.44 cm
Step-by-step explanation:
Please refer to the attached image:
The TV screen is usually in the form of a rectangle.
The diagonal of the TV is termed as the screen size.
Size is given to be 70 cm
Height = 40 cm
As per the attached image:
BC = 40 cm
BD = 70 cm
Pythagoras theorem is given as:
[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Height}^{2}[/tex]
Using pythagoras theorem in [tex]\triangle BDC[/tex]:
[tex]BD^{2}= BC^{2}+ CD^{2}[/tex]
[tex]70^{2}= 40^{2}+ CD^{2}\\\Rightarrow CD^{2} =4900 - 1600\\\Rightarrow CD^{2} =3300\\\Rightarrow CD =57.44 cm[/tex]
Hence, width of screen, CD =57.44 cm
Tahmar knows the formula for simple interest is I = Prt, where I represents the simple interest on an amount of money, P, for t years at r rate. She transforms the equation to isolate P : P = P : P equals StartFraction I Over r t EndFraction.. Using this formula, what is the amount of money, P, that will generate $20 at a 5% interest rate over 5 years?
Work Shown:
i = 20 = interest we want to earn
r = 0.05 = decimal form of the annual interest rate
t = 5 = number of years
P = i/(r*t)
P = 20/(0.05*5)
P = 80
Answer:
80
Step-by-step explanation:
i got it right
holp 4h+j, where h=−4 and j=−2
Answer:
-18
Step-by-step explanation:
We are given the expression:
4h+j
We are also given h= -4 and j= -2. Therefore, we can substitute -4 in for h and -2 in for j.
4(-4)+-2
4(-4)-2
Solve according to PEMDAS
Multiply 4 and -4
-16-2
Subtract 2 from -16
-18
Answer: 4(-4)+(-2)=-18
Step-by-step explanation:
Express the ratio below in its simplest form. 6 : 2 : 6
Answer:
Step-by-step explanation:
6:2:6=3:6=3/6=(1*3)/(2*3)=1/2
Find the average rate of change of the function defined by the following table X -2,2,6,10 Y -5,35,75,115
Answer:
The slope is 10 (y =10x +15)
Step-by-step explanation:
When using two coordinates to find the slope of a linear function, I choose (-2,-5) and (2,35) *but you can choose any two.
The formula for finding the slope is y-y divided by x-x.
so... (35)-(-5)=40 NOTE: I did 35 minus -5 but you can also do -5 minus 35.
2-(-2)=4 But just remember to do it the same order for
subtracting the x coordinates.
40/4=10
For what value of the variable will
b
the value of 3−5c be 1 less than the value of 1−c?
Answer:
c = 3/4
Step-by-step explanation:
Lets set up an equation.
You can get
3-5c + 1 = 1-c to show that it is one less.
now we can solve it.
So by combining like terms, we get:
4-5c = 1-c
that then becomes:
3-5c = -c
--> 3 = 4c
--> c = 3/4
Answer:
c=3/4
Step-by-step explanation:
I do RSM :)
Find the equation of the line. Use exact numbers. y= x+ i cant get a picture of the graph so x on the graph is 2 and y on the graph is 3
Answer: y = x + 1
Step-by-step explanation:
This is poorly written, but as i understand:
We have the general equation:
y = x + i
where i is a constant, and we want this function to pass through the point x = 2 and y = 3.
Then we must find the value of y, we know that when x= 2 we also must have y = 3, so we can replace those two values in the equation above and get
y = 3 = x + i = 2 + i
3 = 2 + i
3 - 2 = i
1 = i
So our equation is y = x + 1
write the expression in factored form. m2 + 22m + 121
Answer:
(m+11)^2
Step-by-step explanation:
break 22m in such a way that the 2 new values are factorizable by the two terms on both sides.
m^2+22m+121
m^2+11m+11+121
Factorize the first 2 terms then the next 2 terms.
m^2+11m = m(m+11)
11m+121 = 11(m+11)
Since both the brackets are equal, use one and then put the m and 11 that are outside the brackets into a new brackets.
(m+11)(m+11) = (m+11)^2
Hope this helps
Good Luck
what is the value of x +when x=3?
Answer:
when x = 3, x would equal 3 since x can be substituted as 3, aka chancge any xes into 3 if they give you yhat info
Step-by-step explanation:
Answer:
x=3
will still remain as the same
so you answer is x=3
Kurt's truck uses 12 gallons of gas to travel 156 miles. He has 6 gallons in the tank. How much more gas will he need to drive 351 miles?
Answer:
it will be 27 gallons
Step-by-step explanation:
if we take the gallons number is x
then x=[tex]\frac{351*12}{156}[/tex]
what’s the answer of this and how do you get it?
Answer: the area of the star is 1.94in squared
Step-by-step explanation: One part of the quarter circle has a radius of 1.5 inches because 3 inches is the height of the square.
So the diameter of 4 of the quarters would be 3 inches because 4 quarters of a circle would make a full circle with a diameter of 3. The area of a full circle with the diameter of 3 is 7.06. The area of the square is 9 because 3x3 is 9. 9 minus 7.06 leaves 1.94 in area left in the square. :) 1.94 is rounded also
Step-by-step explanation:
PRIMERO ENCONTRAMOS EL ÁREA DE UNO DE LOS
SEGMENTOS DE C´RCLO SUPONIENDO QUE EL RADIO
ES IGOAL A LA MITAD DEL LADO DEL CUADRO
A = [tex](1.5 in)^{2}[/tex] - 3.14[tex]/1.5 in)^{2}[/tex]/4 = [tex]0.49 in^{2}[/tex]
LUEGO SE MULTIPLICA POR 4
[tex]1.96 m^{2}[/tex]
SE ENCUENTRA EL ÁREA DEL CUADRADO
A = [tex]3 in ^{2}[/tex] = [tex]9 in^{2}[/tex]
FINÁLMENTE SE ENCUENTRA EL ÁREA DE LA ESTRELLA
A = [tex]9 in^{2}[/tex] - [tex]1.96 in^{2}[/tex] = [tex]7.04 in^{2}[/tex]
(WILL GIVE BRIANLIEST)
Please Help!
Question:
What is the solution set for the equation below?
(Look a the image, and the multiple choices are there)
Answer:
option (c) [tex]\{-1,\dfrac{4}{3}\}[/tex] is the correct answer.
Step-by-step explanation:
The given Quadratic equation is:
[tex]3x^{2} -x-4=0[/tex]
Let us try to make factors:
[tex]3x^{2} -x-4=0[/tex]
Here, [tex]-x[/tex] can be written as [tex]-4x + 3x[/tex] (Look at the coefficient of [tex]x^{2}[/tex] and constant part i.e. 3 and 4). So, the quadratic equation becomes:
[tex]\Rightarrow 3x^{2} -4x+3x-4=0\\\text{Taking x common from }3x^{2} -4x \text{ and 1 common from }3x+4:\\\Rightarrow x(3x-4)+1(3x-4)=0\\\Rightarrow (x+1)(3x-4)=0\\\Rightarrow (x+1) =0\ or\ (3x-4) = 0\\\Rightarrow x =-1\ or\ x = \dfrac{4}{3}[/tex]
So, solution set for the equation [tex]3x^{2} -x-4=0[/tex] is:
[tex]\{-1,\dfrac{4}{3}\}[/tex]
Hence, option (c) [tex]\{-1,\dfrac{4}{3}\}[/tex] is the correct answer.
another due for tomorrow help please
Answer:
189 cm²
Step-by-step explanation:
A= bh
h=9 , b=21
21×9=189 cm²
Please answer correctly !!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
Let's take each one of those answers and test it against the graph.
"Greater app price always relates to greater profit."
***As you can see, this is not true. Although the profit does increase up to a point as the app price increases, look at the profit at an app price of $4 and an app price of $11. The profit from a $4 app is about $30 million and the profit from the $11 app is about $24 million.
"Greater app price relates to greater profit as long as the app's price is more than about $7."
***As we just saw in the above statement, this is not true.
"The largest possible profits the company can make is 7 million dollars."
***The highest profit is where the highest point on the graph is. While the APP price is $7 at this highest point, the profit there is about 39 million dollars. So the largest possible profit is not 7 million, the largest profit corresponds to an app price of $7 with a profit of 39 million.
"The largest possible profit the company can make is about 40 million dollars."
***From above, we know that this is true.
The only true statement is the last one.
What type of scatterplots are they ?
(Left to right)
1 .
2.
3.
Answer:
1. positive
2. negative
3. null
Step-by-step explanation:
I looked up "all types of scatterplots and looked at which ones were on the screen
Which table represents a linear function?
Answer:
its A i just took the quiz
hope i helped!
Step-by-step explanation:
A shop is having a sale.all items are reduced by 25%. Work out the sale price of an item normally priced at £90 ?
Answer:
E67.5
Step-by-step explanation:
when we calculate 27%of E90 it result in 22.5then we subtract E22.5 from E90 which is equal to E67.5The length of a rectangle is 4 units shorter than half the width. If the length of the rectangle is 18 units, which equation can
be used to find w, the width of the rectangle?
Answer:
The width is 11 units.
Step-by-step explanation:
First, you have to add 4 to 18 which is 22. Then divide by 2.
Mi cuaderno tenía originariamente 40 páginas, pero he usado 2/5 y he arrancado 1/8¿cuantas páginas quedan disponibles? ¿Qué fracción del total representan?
Answer:
La fracción del total de páginas iniciales del cuaderno que representan las páginas disponibles restantes es 19/40
Step-by-step explanation:
El número total de páginas en el cuaderno = 40
Número de páginas utilizadas = 2/5 × 40 = 16 páginas
Número de páginas extraídas = 1/8 × 40 = 5 páginas
Número de páginas disponibles = 40 - 16 - 5 = 19 páginas
Fracción del total restante = 19/40
La fracción del total de páginas iniciales del cuaderno que representan las páginas disponibles restantes = 19/40.
preform the operation indicated 3x^2(2x^2-5x+1)
Answer:
6x^4 -15x^3 + 3x^2
Step-by-step explanation:
What we want to do here is to multiply what is outside the bracket with what is inside
That would be;
3x^2(2x^2 -5x + 1)
= 3x^2(2x^2) -5x(3x^2) + 1(3x^2)
Opening the brackets, we have;
6x^4 -15x^3 + 3x^2
