A rectangular prism has a length of 9 in., a width of 4 in., and a height of 1 1/2 in. The prism is filled with cubes that have edge lengths of 1/2 in. How many cubes are needed to fill the rectangular prism? Enter your answer in the box. To fill the rectangular prism, cubes are needed.
Answer: 432 cubes
Step-by-step explanation:
Volume of rectanglular prism
[tex]\\ \rm\Rrightarrow LBH[/tex]
[tex]\\ \rm\Rrightarrow 9(4)\times 1\dfrac{1}{2}[/tex]
[tex]\\ \rm\Rrightarrow 36\times \dfrac{3}{2}[/tex]
[tex]\\ \rm\Rrightarrow 18(3)[/tex]
[tex]\\ \rm\Rrightarrow 54in^3[/tex]
Volume of each cube
[tex]\\ \rm\Rrightarrow side^3[/tex]
[tex]\\ \rm\Rrightarrow (1/2)^3[/tex]
[tex]\\ \rm\Rrightarrow\dfrac{1}{8}in^3[/tex]
Total cubes
[tex]\\ \rm\Rrightarrow \dfrac{Volume\:of\:prism}{volume\:of\:one\:cube}[/tex]
[tex]\\ \rm\Rrightarrow 54\div\dfrac{1}{8}[/tex]
[tex]\\ \rm\Rrightarrow 54(8)[/tex]
[tex]\\ \rm\Rrightarrow 432[/tex]
Susan and Sarah love to play their favorite frivia
video game. Susan has a total score of 87,325
points. Sarah has a total score of 46,175. How
many times larger is the 7 in Susan's score than
Sarah's score?
Answer:
please l don't understand
PLEASE HELP ASAPPPP!!
question: write in standard form.
2x^2+x^3-3+4x^5
Answer:
+4X^5+X^3+2X^2-3
Step-by-step explanation:
Hope this helps :*
Hey : please help no fake anwsers : I’ll mark you brainliest :3
Answer:
320units²
Step-by-step explanation:
one half triangle
area =1/2bh
area of the triangle= 1/2*5*8
= 20units²
area of the octagon= 16*20
=320units²
16 semi triangle will make up the octagon full
I hope it work for you
Use a Venn diagram to answer.
If n(A) = 8, n(B) = 9 and n(An B) = 6, what is n(AUB)?
Answer:
[tex]n(A \cup B) = 6[/tex]
Step-by-step explanation:
In Venn sets, we have that:
[tex]n(A \cup B) = n(A) + n(B) - n(A \cap B)[/tex]
In which n is the number of elements that each set contains.
In this question:
[tex]n(A) = 8, n(B) = 9, n(A \cap B) = 6[/tex]
So
[tex]n(A \cup B) = n(A) + n(B) - n(A \cap B) = 8 + 9 - 6 = 17 - 6 = 11[/tex]
So
[tex]n(A \cup B) = 6[/tex]
Square root 2x + 3 equals X
what is the x-intercept?
Answer:
-2
Step-by-step explanation:
I'm not 100% sure but...
The x-intercept is when the y is 0.
And if we look at the coordinate plane, then we see that the x-intercept is two units down, and y is zero, which means that it would probably mean that the x-intercept is -2.
please help me!!!! ily if u dooooo
PLEASE HELP !! ILL GIVE 40 POINTS ; PLUS BRAINLIEST !! DONT SKIP ANSWER.
Pls help with question.
Answer:
5. 39.556
6.5.233
4 b [tex]\frac{13}{2}[/tex]
4a [tex]\frac{51}{12}[/tex]
write an expression for b divided by 6
(please only real answers, I am already failing I don't need more bs)
Answer:
Well divided by is basically he slash between the things so it would be
b/6
Step-by-step explanation:
÷ is basically (divided by) and whatever number comes first jsut write it like for example
10 divided by 4
10 / 4
Answer:
b/6
Step-by-step explanation:
dont you think thats a bit easy? B divided by six, b ÷ 6, b goes in the like box when u do long division and 6 is outside
Which algebraic expression represents "the apples were divided equally into seven boxes"?
7+ a
С 7а
7
a
Answer:7+a
Step-by-step explanation:multiply 7 by a
Answer:
a/7 yw :)
Step-by-step explanation:
Pls help help help pls
Answer:
Its the bottom left one :)
Step-by-step explanation:
Find
Sin 2 (30degrees)
Answer:
Sin 2 (30)°= [tex]\frac{\sqrt{3} }{2}[/tex]
Step-by-step explanation:
Explanation:-
Given that Sin 2 (30)°
we know that the formula sin2θ = 2sinθ cosθ
Given that θ = 30°
Now
sin2(30)° = 2sin30° cos30°
[tex]= 2 ( \frac{1}{2} X \frac{\sqrt{3} }{2} )[/tex]
After cancellation, we get
Sin 2 (30)° = [tex]\frac{\sqrt{3} }{2}[/tex]
Final answer:-
Sin 2 (30)° = [tex]\frac{\sqrt{3} }{2}[/tex]
For each set of measures, choose whether the conditions determine a unique triangle, more than one triangle, or no triangle.
Answer:
the first one is "1 triangle" the second one is "no triangles" the third one is "no triangles and the fourth one is "1 triangle"
Step-by-step explanation:
I got it right one edge
From conditions 1, 4 the triangles can be formed and from conditions 2,3 the no triangles can be formed.
What is a triangle?A triangle is a flat geometric figure that has three sides and three angles. The sum of the interior angles of a triangle is equal to 180°. The exterior angles sum up to 360°.
For the given situation,
The table shows the set of measures, we need to determine which condition can make triangles.
Condition 1:
AB = 15 cm, BC = 20 cm, ∠B = 40°
By SAS criteria, this condition can form a triangle.
Condition 2:
AB = 20 cm, BC = 15 cm, ∠C = 40°
Here the condition is Side-Side-Angle. There is no such criteria, so no triangle can be formed.
Condition 3:
BC = 10 cm, BC = 5 cm, ∠A = 20°
Here side length of BC alone is given. With one side and one angle, no triangle can be formed.
Condition 4:
AC = 5 cm, BC = 10 cm, AB = 14 cm
Here three sides are given, so we can form a triangle.
Hence we can conclude that from conditions 1, 4 the triangles can be formed and from conditions 2,3 the no triangles can be formed.
Learn more about triangles here
https://brainly.com/question/16898470
#SPJ2
How many different 5-letter words can be made
a. if the first letter must be A or Y and no letter may be repeated?
b. if repeats are allowed (but the first letter is A or Y)?
c. How many of the 5-letter words (starting with A or Y) with no repeats end
in H?
What is a fact family? (Saying "it's a family of facts" will not be accepted")
Answer: Fact families are 3 numbers that make up a set of related math facts
Step-by-step explanation:
.An example of a fact family for multiplication and division is 2, 3, and 6: 2 X 3 = 6, 3 X 2 = 6, 6 2 = 3, and 6 3 = 2.
Answer:
Step-by-step explanation:
A fact family is a set of subtraction and addition equations or sentences that involve the same numbers.
a laptop has listed a price of $807.99 before tax if the sales tax rate is 8.75% find the total cost of the laptop with the sales tax include round your answer to the nearest cent as necessary
Answer:
Step-by-step explanation:
70.699125
Which expression is equivalent to 64^1/4
Answer:
C
Step-by-step explanation:
It is C because 64 to 1/4 power is just 64 divided by 4.
Find the answer
5/8 + (2/3 - 1/4) =
Answer:
25/24
Step-by-step explanation:
simplify: 2/3-1/4 to 5/12
5/8+5/12
=25/24
The table below shows the number of people, y, who ride a roller coaster at a theme park over a certain number of hours, x, during a day. Write an equation that represents the relationship between the number of people that ride a roller coaster in terms of the time, in hours, as shown in the table. Use the on-screen keyboard to type the correct equation in the box.
Answer:
y = 350x
Step-by-step explanation:
To find the equation of the chart, we simply find the slope and then follow the slope-intercept equation.
Points on the chart: (0, 0) and (1.5, 525)
Slope:
m=(y2-y1)/(x2-x1)
m=(525-0)/(1.5-0)
m=525/1.5
m = 350
Slope-intercept:
y - y1 = m(x - x1)
y - 0 = 350(x - 0)
y - 0 = 350x
y = 350x
Find the area of the figure to the nearest thousandth.
Answer: 225
basically 15 times 15 is 225 and thats how you do the problem
Answer:
236.625
Step-by-step explanation:
Trust me I had the same problem .
Answer the question in the picture plz
A number raised to a fraction would be the same as a root to the inverse of the fraction.
What that means is the sqrt(8) raised to 1/4 is the same as being 4th root of 8.
So rewriting the given equation you would have cubic root 8 x 4th root 8
Combine the roots by multiplying: 3 x 4 = 12
The equivalent equation would be C. 12 root 8 ^ x
PLEASEEE HELPPPP U DONT HAVE TO BE CORRECT JUST HAS TO MAKE SENSEEE PLS HELLPP
Answer:
TBH I don't really know either, but 63, 360?
Step-by-step explanation:
If they give you a number in feet, and they want inches time the number by 12? (12 inches in a foot)...sorry idrk...
Answer and Step-by-step explanation:
We are told that there are 5,280 feet in 1 mile.
We also know that 1 foot equals 12 inches.
So, to know how many inches are in One mile, we must multiply 5280 by 12.
1
5280
× 12
______
10560
+52800
_______
63360
So, the amount of inches that are in 1 mile is 63,360.
#teamtrees #PAW (Plant And Water)
A graph shows the survey results for a group of students who
were asked how many honors classes they have taken and
how many elective classes:
Class Choices
Number of Elective Classes
0
lo 1 2 3
4
5 6 7 8
9 10 11
Number of Honors Classes
How many elective classes would students likely have taken if
they have taken 12 honors classes? (4 points)
HELP ME PLEASE 75 points. FASTTT
Answer:
X=2,3
Step-by-step explanation:
7. What is the value of x? Round answer to the nearest tenth (one decimal
place) if needed.
Can you please show work thank you for your time
Answer:
x= 20,1 degrees
Step-by-step explanation:
The sum of the inner angles of a triangle is 180 degrees
So it must be
3x-11+6x-10+x = 180
added up the terms with x
10x -11-10 = 180
added up the terms without x
10x - 21 = 180
added up (21) in the two members of the equation
10x-21+21 = 180+21
10x = 201
divide the two members by 10
x = 20,1 degrees
A florist sells flower bouquets. The table shows the prices for various amounts and kinds of bouquets.
Flower Bouquets
Tole Price
daisies
$23.90
tulips
$60.80
roses
?
A customer buys 3 bouquets of tulips and 2 bouquets of roses for $147.70. What is the price of a bouquet of roses?
$28.25
$29.54
$55.93
S86.90
Answer:
$28.25
Step-by-step explanation:
$28.25
A die with 8 sides is rolled. What is the probability of rolling a number less than 3
Answer: 6/8
simplify by 2 and you get 3/4 your answer is 3/4
Step-by-step explanation:
I need to know what one to pick I will send an image to go with it
Answer: um do you need help because I don’t see the question or the picture you are talking about..
Step-by-step explanation: