How many small cubes, with a side length of 1/2 cm, will fill the larger rectangular prism below?
Answers
Answer:
15 cubes
Step-by-step explanation:
The volume of a rectangular prism is given as :
V = Lenght * width * height
V = 3/2 * 5/2 * 1/2
V = 15 / 8 cm³
Volume of a cube = a³
Where, a = side length of cube
a = 1/2 cm
V = a³ = (1/2)³ = (1/2 * 1/2 * 1/2) = 1/8
Volume of pyramid / volume of cube
15 / 8 ÷ 1 / 8
15 / 8 * 8 / 1
= 15
Related Questions
A rectangular garden is to be constructed using a rock wall as one side of the garden and wire fencing for the other three sides. Given that there are 56 meters of fencing available, determine the dimensions that would create the garden of maximum area. You may enter an exact answer or round your answer to the nearest hundredth.
Answers
Answer:
x = 28 m
y = 14 m
A(max) = 392 m²
Step-by-step explanation:
Rectangular garden A (r ) = x * y
Let´s call x the side of the rectangle to be constructed with a rock wall, then only one x side of the rectangle will be fencing with wire.
the perimeter of the rectangle is p = 2*x + 2*y ( but in this particular case only one side x will be fencing with wire
56 = x + 2*y 56 - 2*y = x
A(r) = ( 56 - 2*y ) * y
A(y ) = 56*y - 2*y²
Tacking derivatives on both sides of the equation we get:
A´(y ) = 56 - 4 * y A´(y) = 0 56 - 4*y = 0 4*y = 56
y = 14 m
and x = 56 - 2*y = 56 - 28 = 28 m
Then dimensions of the garden:
x = 28 m
y = 14 m
A(max) = 392 m²
How do we know that the area we found is a local maximum??
We find the second derivative
A´´(y) = - 4 A´´(y) < 0 then the function A(y) has a local maximum at y = 14 m
Seven hundred twenty -one thousandths as a decimal
Answers
Answer:
0.721
Step-by-step explanation:
the last digit (the number '1') must be in the thousandths place; then work backward so the '2' would be in the hundredths and the '7' would be in the 'tenths'
What is the formula for surface area? Giving brainliest to the correct answer
Answers
Answer: Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area
if you add 5 over 8 + 5 over 8.. how do you simplify it and write it as a mixed number?
Answers
Answer:
its equal to 10 over 8
Step-by-step explanation:
then u divide the numerator and denominator by 2 over 2 which will give you 5 over 4
since it's 5 over 4 you 1 whole number which become 1 and 1 over 4
if you were to too a dice one time what is the odds of rolling a number less than three?
Answers
Answer:
1/3 or 33.33%
Step-by-step explanation:
A regular dice has 6 sides each with a single number from 1 to 6. Therefore, there are a total of 6 possible outcomes. Out of all of these only two outcomes are actually less than three and those are the numbers 1 and 2. Meaning, that if the dice were rolled only a single time then the probability of rolling a number less than 3 would be 2/6 or 1/3 (simplified). As a percentage, this probability would be 33.33%
Find the quotient of -4 1/6 and -3 1/3
A) 13 8/9
B) -5/6
C) -7 1/2
D) 1 1/4
Answers
Answer:
B -5/6
Step-by-step explanation:
ellus
Find the surface area of the composite figure.
2 cm
7 cm
2 cm
12 cm
12 cm
7 cm
7 cm
SA = [?] cm2
Answers
Answer:
SA = 484 cm²
Step-by-step explanation:
Surface area of the composite figure = surface area of the larger rectangular prism + (surface area of the smaller rectangular prism - base area of the smaller rectangular prism)
✔️Surface are of the larger rectangular prism = 2(LW + LH + WH)
L = 7 cm
W = 7 cm
H = 12 cm
S.A = 2(7*7 + 7*12 + 7*12) = 434 cm²
✔️Surface are of the smaller rectangular prism = 2(LW + LH + WH)
L = 7 cm
W = 2 cm
H = 2 cm
S.A = 2(7*2 + 7*2 + 2*2) = 64 cm²
✔️Base area of the smaller rectangular prism = L*W
L = 7 cm
W = 2 cm
Area = 7*2 = 14 cm²
✅Surface area of the composite figure = 434 + (64 - 14)
= 434 + 50
= 484 cm²
los niños están jugando bingo con las tablas de multiplicar, 9 números deben ser las respuestas de las tablas de multiplicar del 1 al 9 y para ir marcando una persona sacará los PO de las tablas .. responde : a) que números eligirias tú para que tengas más posibilidades de ganar ? b) gloria eligió los siguientes números 54,6,8,9,12,16,18,24,36.. Jorge eligió los números 1,2,3,5,7,25,49,64,81 quien tiene más posibilidades de ganar el bingo ?? explica el por qué ??
Answers
Answer: el fredo en y multa verdad thress
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
Write the percent as a fraction and as a decimal.
2%
_
4
What is the fraction equivalent?
Answers
2%- fraction 1/50
4- fraction 2/5
4-decimal0.04
A gumball machine has various colors of gumballs. There is a 10% chance that the next
gumball from the machine is red and 0.8 chance it is orange.
Is the next gumball more likely to be red or orange? Explain your reasoning.
Answers
Answer:
It is red
Step-by-step explanation:
Please help and thank you
( ignore the answer I clicked)
Answers
Answer:
Step-by-step explanation:
Answer:
your answer is correct. a trapezoid can be defined by it's set of parallel sides
Step-by-step explanation:
If the shape you're looking at doesn't have at least one set of parallel sides, it's not a trapezoid;
Find the inverse function of the function f(x) = 5x/7
f-(x) = -7x/5
f-'(x) = – 5x/7
f-l(x) = 5x/7
f-'(x) = 7x/5
Answers
Each cement block weighs 1 1/4 pounds. How much do 8 cement blocks weight in total?
Answers
Answer:
10
Step-by-step explanation:
[tex]1 \frac{1}{4} \times 8 = 10[/tex]
Answer:
10 pounds.
Step-by-step explanation:
1 * 8 + 1/4 * 8
= 8 + 2
= 10 pounds.
The sampling distribution describes the a. long-run behavior of a statistic. b. short-term behavior of the population. c. sample size. d. population proportion.
Answers
Answer:
Option A
Step-by-step explanation:
A probability distribution of a statistic that represents a large sample derived from a certain specific population size to determine a range of possible outcomes of statistics such as Mean, Standard deviation, mode, median etc. in a way that it represents the existing entire population is known as a sampling distribution
Hence, option A is correct
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 6.8 parts/million (ppm). A researcher believes that the current ozone level is at an insufficient level. The mean of 10 samples is 6.4 ppm with a standard deviation of 1.1. Does the data support the claim at the 0.05 level
Answers
Answer:
The test statistics fall in the critical region and hence null hypothesis is to be rejected.
Step-by-step explanation:
The null hypothesis : H0 : Mean = 6.80
Alternative hypothesis: Ha: Mean is not equal to 6.80
As per the z statistics
z = (x’-mean)/(sigma/sqrt n)
Substituting the given values, we get –
z = 6.4-6.8/(1.1/sqrt 10)
z = -1.149
z test statistics is -1.149
Critical value for two tailed test at 98% confidence is .10749
The test statistics fall in the critical region and hence null hypothesis is to be rejected.
Please answer the ones you know or all of them
Answers
Answer:
solve each equation :
12) B) {0}
13)(B) {-3}
14) (C) {4}
In the diagram A, B, and C are the points on the circle. Use the diagram to prove the theorem which states that:
if O is the center of the circle then AÔB = 2Ĉ.
Answers
9514 1404 393
Explanation:
Here's one way to go at it.
Draw segments AB and CO. Define angles as follows. (The triangles with sides that are radii are all isosceles, so their base angles are congruent.)
x = angle OAB = angle OBA
y = angle OAC = angle OCA
z = angle OBC = angle OCB
Consider the angles at each of the points A, B, C.
At A, we have ...
angle CAB = x + y
At B, we have ...
angle CBA = x + z
At C, we have ...
angle ACB = y + z
The sum of the angles of triangle ABC is 180°, as is the sum of angles in triangle ABO. This gives ...
x + x + ∠AOB = (x+y) +(x+z) +(y+z)
∠AOB = 2(y+z) = 2∠ACB
This shows ∠AOB = 2×∠C, as required.
Exam grades: Scores on a statistics final in a large class were normally distributed with a mean of 77 and a standard deviation of
10. Use the TI-84 PLUS calculator to answer the following. Round the answers to at least two decimals.
(a) Find the 28th percentile of the scores.
(b) Find the 65th percentile of the scores.
(c) The instructor wants to give an A to the students whose scores were in the top 12% of the class. What is the minimum score
needed to get an A?
(d) Between what two values are the middle 64% of the scores? (Enter the smaller number in the first box.)
Answers
area
help hellllppppp
Answers
Answer:
Area = 14¹/16 yd² or 14.0625 yd²
Step-by-step explanation:
2. The figure given is a square having equal sides of 3¾ yd each.
Formula for area of the square = a²
Where,
a = 3¾ yd
Plug in the value into the equation:
Area = (3¾)²
Change to improper fraction
Area = (15/4)²
Area = 225/16
Area = 14¹/16 yd² or 14.0625 yd²
Find x if x : 10 = 10 : x
A) 10 B) 20 C) 16
Answers
Answer:
10 is the correct answer
Answer:
A) 10
Step-by-step explanation:
given,
x:10=10:x
x/10=10/xx²=100x=√100x=10hope it helps.
stay safe healthy and happy.A photograph measuring 4 inches wide and 5 inches long is enlarged to make a wall mural. If the mural is 150 inches wide, how long is the mural?
A. 120 inches
B. 600 inches
C. 750 inches
D. 187.5 inches
Answers
you would get this by doing the following
150/4 = 37.5
5 x 37.5 = 187.5
Need help with this scatter plots question. How do I solve it?
Answers
Answer:
No Trend
Step-by-step explanation:
Scatter plots usually have 1 or 2 outlier points if they're to show a positive or negative trend. There is a kind-of negative trend in the graph, but for me personally, I think the outliers kind of cancel the pattern out since there's way to much other points around it. It can't be constant since constant means that the points have to be in one place, and obviously its not really the case here. Therefore, you're left with a no-trend graph!
A salesman earns $250 per week PLUS a 10% commission on all sales over $5000. In one week, his sales totaled $14,000. What were his earnings that week?
A. $1,050
B. $1,150
C. $400
D. $2,150
Answers
Answer:
B. 1150
Step-by-step explanation:
14000-5000=9000 sales over 5000
9000 x .10=900 commission
250 (salary)+ 900 (commission)=1150 total
Help I will brainliest your answer
Answers
Answer: y=12
Step-by-step explanation:
96=8y
96/8=y
12=y
Help Please! I've been stuck and options are below!
Answers
Answer:
first question is b second is d
Step-by-step explanation:
USE TABLE AOR TABLE RFOR
SERVING UP A LARGE FEAST?
96"
42"
A А
B
R=45"
SHOW AN EXPLANATION ON WHICH TABLE YOU CHOOSE!!!
Answers
Answer:
use table B
Step-by-step explanation:
the perimeter of table A =
2×(96+42) = 2× 138 = 276 inches
the perimeter of table B =
2×3.14×45 = 282.6 inches
table B > table A
7=-1/4+b solve for b
Answers
Answer:
b = 7 1/4
Step-by-step explanation:
7 = -1/4 + b
Add 1/4 to both sides
7 1/4 = b
b = 7 1/4
Similar Triangles
Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
a. 4/15 = 5/12 = 4/15
b. 4/5 = 12/15 = 4/5
c. 4/12 = 5/15 = 1/3
d. 5/4 = 15/12 = 5/4
Please select the best answer from the choices provided
Answers
Answer:
C. 4/12 = 5/15 = 1/3
Step-by-step explanation:
I calculated it logically
Answer:
The answer is A
Step-by-step explanation:
Successfulness of the Competition policy in South Africa- support and graphs
Answers
Answer:
Answer to the following question is a follows;
Step-by-step explanation:
The following are a few examples of how South Africa's competitiveness policy has been successful:
⇒ Consumers or buyers were given a variety of product options as well as competitive prices.
⇒ In 1984, practises like horizontal cooperation and resale price maintenance and control were ruled illegal.
A pair of sneakers costs $60. Dahlia bought them on sale for $45. What is the percent decrease in the price of the sneakers?
Answers
Answer:
the answer is %25
Step-by-step explanation: