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]
yo can someone pls help me with this i’ve been crying for the last hour bc i can’t figure it out and it’s due in 30 minutes. the question is “find the area and perimeter to this composite figure”. i will give you the most brainly if you answer and solve. thank you <3
9514 1404 393
Answer:
area: 524 cm²perimeter: 124.8 cmStep-by-step explanation:
The rectangle in the middle has a width equal to the radius of the semicircular ends, so (20 cm)/2 = 10 cm.
The semicircular ends, together, make a complete circle of radius 10 cm.
The area is the sum of the areas of the parts:
A = LW = (21 cm)(10 cm) = 210 cm² . . . . . . rectangle area
A = πr² = π(10 cm)² = 100π cm² ≈ 314 cm² . . . . . circle area
The total area is ...
210 cm² +314 cm² = 524 cm² . . . . area of the figure
__
The perimeter of the figure is the sum of the lengths of all of the edges. From the left, working clockwise, we have ...
P = (1/2 circle of diameter 20) + (rectangle top = 21) +(1/2 circle of diameter 20) +(circle radius = 10) +(rectangle bottom = 21) +(circle radius = 10)
The two 1/2 circles add to a whole circle with a circumference of ...
C = πd = (3.14)(20 cm) = 62.8 cm
Then the whole perimeter is ...
P = 62.8 cm + 21 cm + 10 cm + 21 cm + 10 cm = 124.8 cm
_____
Note that we have used 3.14 for pi. If you use a more exact value, your answers will be slightly different.
what is the name of the shape depicted in the graph below
a. limaçon
b. rose
c. cardioid
d. lemniscate
Answer:
Limaçon
Step-by-step explanation:
In geometry, a limaçon or limacon /ˈlɪməsɒn/, also known as a limaçon of Pascal, is defined as a roulette formed by the path of a point fixed to a circle when that circle rolls around the outside of a circle of equal radius.
The name of the shape depicted in the graph below is a. Limacon.
What are Polar Curves?Polar curves are the curves which are formed using the polar coordinate system.
The distance of the points from the origin will be varying depending on the angle from the positive X axis.
The given curves in the option Limacon, Rose, Cardioid, Lemniscate are types of polar curves.
Limacon is the curve which is also known as Pascal's snail. It is formed by following the path by a fixed point to a circle when this circle rolls another circle's of equal radius outside.
The given shape is the limacon with inner loop.
Lemniscate will always be a 8 shaped curve.
Hence the correct option is a, limacon.
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Layla has 3/4 of a can of paint. She uses 2/3 of the paint for one wall in her bedroom. How much of the can did she use? PEASE ANWSER!
Answer:
8/12 of the can
Step-by-step explanation:
Make the denominator of both 12. Then 2/3 is 8/12.
Answer:
its A, she used 1/12 of the can
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:
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
Which of the following is a degenerate circle?
O A. r?+ y2 = 5
O B. x+y=7
O c. x² + y² = -2
O d. (x - 5)²+(y - 3)2 = 0
the Equation A. r²+ y² = 5 degenerate the circle.
What are the properties of the circle?The circumference, which is the distance around the object, the diameter, which is the length of a circle measured from one end to the other and passing through its center, and the radius, which is equal to half of the diameter, are the three key characteristics.
The general coordinate equation of a circle is:
(x-h)² + (y - k)² = r²
Where,
(h, k) is the center of a circle,
"r" is the radius of the circle.
Only option A, r²+ y² = 5
Satisfies the general equation of the line,
thus, From option A the coordinates of the circle on the plane r-y
is (0, 0) and the radius of the circle will be √5.
From option B, x+y=7
It is the equation of the line.
From option C, x² + y² = -2
The sum of two squares can not be negative so it is not a real equation
From equation D, (x - 5)²+(y - 3)² = 0
The radius of a circle can not be zero otherwise it will become a point.
therefore, the Equation A. r²+ y² = 5 degenerate the circle.
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Complete question:
Which of the following is a degenerate circle?
O A. r²+ y² = 5
O B. x+y=7
O c. x² + y² = -2
O d. (x - 5)²+(y - 3)² = 0
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]
Can anyone help me with this quickly?
9514 1404 393
Answer:
N17.91°W0.9 hoursStep-by-step explanation:
The sum of the initial vector and the final vector needs to be equal to the original vector. If we let B represent the vector taken after discovering the mistake, we must have ...
wrong vector + B = intended vector
B = (intended vector) -(wrong vector)
Since the speed is presumed constant, we can write the vectors in terms of hours, not miles. For calculation purposes it is convenient to use bearings measured clockwise from north. West of north will be negative bearing angles for the purpose here. Of course, south is a bearing of 180°, so angles west of south are farther clockwise, hence added to 180°.
B = 4.5∠-22° -0.5∠202° = 4.87207∠-17.91192° . . . using a suitable calculator
__
a) The new bearing must be N17.91°W
__
b) At the time the error was discovered, the 4.5 hour trip was already 0.5 hours old. Hence the expected additional time is 4.5 -0.5 = 4.0 hours. The actual additional time is 4.872 hours, so the trip will take ...
4.872 -4.0 ≈ 0.9 . . . hours
longer than originally planned.
_____
Comment on coordinates
Bearings are conventionally rendered as a positive angle in the range 0–360°, measured clockwise from north. Alternatively, they are given (as here) as a positive angle in the range 0–90° east or west from north or south.
Occasionally, you will see bearings expressed as an angle in the range 0–45° from the nearest cardinal direction toward the next-nearest cardinal direction. (For example, E19°S instead of 109° or S71°E.)
Compared to angles measured conventionally on a Cartesian plane, CCW from +x, bearing angles are essentially conventional angles subtracted from 90° (and vice versa). As far as angles are concerned, The Cartesian coordinates are the same as map coordinates if you reflect the map across the line y=x.
Calculators that work with vectors work just fine with bearing distances and angles. You just have to remember that the (a, b) rectangular coordinate pair is (N, E) rather than the usual Cartesian plane (E, N). (East being to the right; North being up.)
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
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
PLEASE HELP !! ILL GIVE 40 POINTS ; PLUS BRAINLIEST !! DONT SKIP ANSWER.
HELP ME PLEASE 75 points. FASTTT
Answer:
X=2,3
Step-by-step explanation:
A 6 inch personal pizza has 620 calories, with 240 of those from fat. A 12 inch pizza is cut into 8 slices. Estimate the number of calories in one slice of a 12 inch pizza.
9514 1404 393
Answer:
310 calories (120 from fat)
Step-by-step explanation:
A 12-inch pizza has double the diameter of the 6-inch pizza, so will have 2² = 4 times the area. 1/8 of that pizza will have 4/8 = 1/2 the area of the personal pizza. If calories are proportional to the area, then the slice will have ...
(1/2)(620 calories) = 310 calories . . . in 1 slice of 12-in pizza
What is the least common multiple of 9 and 15?
Answer:
45
Step-by-step explanation:
Find prime factors
9 = 3 x 3
15 = 3 x 5
3 x 3 x 5 = 45
Pllllsssss help I’m having trouble
Answer:
that would probably be
Step-by-step explanation:
40
the area of a rectangular garage is 32 square meters. the perimeter is 24 meters. what are the dimensions of the garage?
___ meters by ____ meters
Answer:
8 meters by 4 meters
Step-by-step explanation:
2×8 + 2×4 = 16 + 8 = 24,
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]
At the Museum of Modern Art , 5 students share 4 subs.
How much of a sandwich does each student get?
First to awnser correctly gets brainliest
(Middle School)
Answer:
1.25 of a sandwich
Step-by-step explanation:
5/4=1.25
I'm not sure if you have to round it or not, but I think this would be exact!
Hope this helps!
What is 74 in standard form? O A. 11 OB. 28 Oc. C. 2, 401 O O D. 16,384
Answer:
oc2
Step-by-step explanation:
because
please help me!!!! ily if u dooooo
A town has a population of 20,000 and grows at 4.5% every year how long will it be in to the population is 42,800
Answer:
It will take 17 years to get a population of 42,800. (Specifically 17.3)
Step-by-step explanation:
We will use the equation
y = population
x = amount of years
y = 20000(1 + 0.045)^x
20000 is the original population.
(1 + 0.045) is the increase of 4.5% every year
Square root 2x + 3 equals X
PLS HELP WILL GIVE BRAINLIEST
Malcolm's net worth is $3,475. His liabilities are $7,650.
What is the total
value of his assets?
A.) 3,475
B.) 7,640
C.) 10,005
D.) 11,115
The solution is, D.) 11,115 is the total value of his assets.
What is addition?Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.
here, we have,
given that,
Malcolm's net worth is $3,475.
His liabilities are $7,650.
now, we have,
the total value of his assets is:
we just have to add them.
$3,475 + $7,650
=11125
Hence, The solution is, D.) 11,115 is the total value of his assets.
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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 :*
What is the surface area of a rectangular prism that is 4 inches long, 5 inches wide, and 8 inches tall?
Answer:
160
Step-by-step explanation:
4x5=20.
20×8=160
l×w×h.
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.
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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.
Frands collects marbles. In her collection are:
8 yellow marbles
4 white marbles
6 purple marbles
10 green marbles
Frands will randomly choose 1 of the marbles. What is the probability that she will choose a
purple marble?
Answer:
Step-by-step explanation:
VVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVVV∀°←ω∵ωβ,≡⇅∑ωπω⇄Δ∫ωωω³²²²²
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