Please help!:
Charlie built a toy using a rectangular prism and cubes as shown below.
What is the surface area of the toy Charlie built?
A.650 sq cm
B.350 sq cm
C.550 sq cm
D.400 sq cm
Answers
Related Questions
James gets headaches. the time between one headache and the next is an exponential random variable. he has noticed that, after having a headache, there is a 50% chance of having another headache within the next 4 days. james has not had a headache in 5 days. what is the probability that he will go for at least 5 more days before the next headache?
Answers
For an exponential distribution,
λ=rate of occurrence=mean number of headaches per day.
probability distribution function
=pdf(x, λ ) = λ e^(- λ x)
cumulative probability distribution function,
cdf(x, λ ) = 1 - e^(- λ x)
We are given probability of having no headaches in 4 days is 0.5,
this means x=4 in
cdf(4, λ ) = 0.5, =>
1 - e^(-4 λ )=0.5
Solve for λ
λ = -log(0.5)/4 = 0.1732868 [log(x)=natural log of x]
=>
interpretation: the mean number of headaches is 0.1732868 per day.
Using the cdf, for x=5 days,
cdf(5,0.1732868)=1-e^(-0.173868*5)=0.57955
=>
interpretation: probability of having a headache in 5 days = 0.57955
Therefore
probability of NOT having a headache in 5 days is (1-0.57955)=0.42045
The price of apples went from $1.99 per lb to $3.19 per lb in four years. Find the rate of change of the price of apples.
Answers
1.20/4 = 0.30
rate of change is 0.30 per year (30 cents per year)
6200ft is <>= to 1mi 900ft
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Convert 1 mile to feet. This would be 5280 feet. Add this to 900. 5280+900=6180. So 6200 is greater than 1 mile 900 feet, or 6200>1 mile 900 feet.
I hope this helps!
5280 + 900=6180
6200ft < 1 mi 900ft
A sphere has a radius of 9mm. What is the volume of the sphere, rounded to the hundredths place ?
Answers
V=4/3* π(9)^3
V=4/3* π(243)
V= 324 * π
(rounded): V= 1017.88 mm
The volume of the sphere will be 1017.88 cubic mm.
What is the volume of the sphere?The volume is defined as the space occupied by the solid in a three-dimensional plane. `The volume of the sphere is defined as the space occupied by the sphere in a three-dimensional space.
The volume of the sphere is calculated by the formula below:-
Volume = V=4/3 x πr³
Given that a sphere has a radius of 9mm. Use the formula in calculating the volume of the sphere.
Volume of a sphere:
V=4/3 x πr³
V=4/3 x π(9)³
V=4/3 x π(243)
V= 324 x π
Therefore, the volume of the sphere will be 1017.88 cubic mm.
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which statment is true
Answers
Answer: burger and fries
Step-by-step explanation:
cx+5c=7c solve for x assume c doesn't equal 0
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[tex]\begin{aligned} x+5=7 \end{aligned}[/tex]
Subtracting [tex]5[/tex] from both sides gives [tex]x = \boxed{2}[/tex].
You paid $80 for a tennis racket. If you found the racket under a sign stating 1/4 off, what must the original retail price have been?
Answers
1. You have that you paid $80 for a tennis racket which was under a sign stating 1/4 off. Therefore, you can express this with the following equation:
[tex] x-x/4=80 [/tex]
Where [tex]x[/tex]is the original retail price.
2. When you solve for [tex]x[/tex], you obtain:
[tex]3/4x=80 \\ x=106.67[/tex]
The answer is: [tex]106.67 dollars [/tex]
Movie A took in $142.44 million on it’s first weekend. This topped the previous opening weekend revenue set by movie B by $4.14 million. How much did movie B take in on its opening weekend?
Answers
According to the given statement, revenue of movie A was $4.14 million more than the revenue of movie B in their first weekends.
So, we can write:
Revenue of movie A = Revenue of movie B + $4.14 million
Revenue of movie B = 142.44 million - 4.14 million = $ 138.30 million.
Thus movie B take in $138.30 million on its opening weekend.
How many square feet of outdoor carpet will we need for this hole?
Answers
Answer:
44 square feet
Step-by-step explanation:
We are given a rectangle of dimension 12ft×4ft and a square of dimension 2ft×2ft.
Then, the required outdoor carpet will be:
Outdoor carpet required=Area of the outer hole that is the rectangle - Area of the inner hole that is the square
=[tex](length)(breadth)-(side)^{2}[/tex]
=[tex](12)(4)-2^{2}[/tex]
=[tex]48-4[/tex]
=[tex]44[/tex] square feet.
How many lateral faces does a pentagonal prism have? Explain its actually 8 for anyone who needs this in the future
Answers
Explanation:
You can see the attached figure for better understanding.
A pentagonal prism has 2 bases (the bottom and top faces), each pentagonal, and 5 lateral faces.
The pentagon is a figure with 5 sides. Hence, from each side, the prism will have one lateral face that goes from one base to the other.
The figure attached shows a pentagonal prism where you can see what I explained.
A pentagonal prism has five lateral faces.
A pentagonal prism is a three-dimensional geometric figure with two parallel pentagonal bases and rectangular lateral faces. To determine the number of lateral faces:
(1) Visualize the pentagonal bases; a pentagon has five sides.
(2) Each side of the pentagon is perpendicular to a corresponding rectangle, forming a lateral face.
So, a pentagonal prism has five lateral faces, matching the number of sides of its base pentagon.
An octahedron, a completely different shape, has eight triangular faces, not to be confused with the prism.
The equation below shows the total volume (V), in cubic units, of 4 identical boxes with each side equal to s units: V = 4s3 If s = 2.5 units, what is the value of V? (5 points) 25 cubic units 30 cubic units 62.50 cubic units 156.25 cubic units
Plz help
Answers
volume of one box is length * breadth * height
since its a cube all sides are equal
volume of one box = s³ = 2.5³
since there are 4 boxes,
total volume V = 4s³
V = 4 * 2.5³ = 4 * 15.625
= 62.50 cubic units
third response is correct
Answer:
Option 3 - V = 62.50 cubic units.
Step-by-step explanation:
Given : The equation below shows the total volume (V), in cubic units, of 4 identical boxes with each side equal to s units: [tex]V=4s^3[/tex] If s = 2.5 units.
To find : What is the value of V ?
Solution :
The equation of the total volume is
[tex]V=4s^3[/tex]
Substitute, s=2.5 units
[tex]V=4(2.5)^3[/tex]
[tex]V=4\times 15.625[/tex]
[tex]V=62.5[/tex]
Therefore, Option 3 is correct.
The value of V is 62.50 cubic units.
Juanita is cutting a piece of construction paper in the shape of a parallelogram. Two opposite sides of the parallelogram have lengths (5n − 6) cm and (3n − 2) cm. The third side measures (2n + 3) cm. What are the lengths of two adjacent sides of the parallelogram? 2 cm and 2 cm 4 cm and 7 cm 7 cm and 9 cm 13 cm and 19 cmJuanita is cutting a piece of construction paper in the shape of a parallelogram. Two opposite sides of the parallelogram have lengths (5n − 6) cm and (3n − 2) cm. The third side measures (2n + 3) cm. What are the lengths of two adjacent sides of the parallelogram? 2 cm and 2 cm 4 cm and 7 cm 7 cm and 9 cm 13 cm and 19 cm
Answers
Answer:
Correct option is 2. The lengths of two adjacent sides of the parallelogram are 4 cm and 7 cm.
Step-by-step explanation:
The opposite sides of a parallelogram are equal.
[tex]5n-6=3n-2[/tex]
[tex]2n=4[/tex]
Divide both sides by 2.
[tex]n=2[/tex]
The value of n is 2.
The lengths of two adjacent sides of the parallelogram are
[tex]5n-6=5(2)-6=10-6=4[/tex]
[tex]2n+3=2(2)+3=7[/tex]
Therefore the correct option is 2. The lengths of two adjacent sides of the parallelogram are 4 cm and 7 cm.
What value of k makes the equation true? (5a2b3)(6akb)=30a6b4
2
3
4
8
Answers
Answer:
the answer is 4 I believe
Step-by-step explanation:
To the model estimated in table 8.1, add the interaction term, e401k · inc. estimate the equation by ols and obtain the usual and robust standard errors. what do you conclude about the statistical significance of the interaction term?
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Signed General Penguin
P - potassium
S - sodium
L - lithium
M - magnesium
C - calcium
A - aluminium
Z - zinc
I - iron
L - lead
H - hydrogen
C - copper
S - silver
G - gold
P - platinum
number 248682 rounded off to the nearest hundred becomes what
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Which is the correct way to write three and one-tenth of a milliliter as an Arabic number?
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three and one-tenth------> 3 1/10--------> (3*10+1)/10--------> 31/10-----> 3.1
the answer is 3.1 ml
Last question pls help!
A rectangle has a side of 12 inches and another side of 6 inches...
whats the perimeter? whats the area? what would be the area and permieter combined?
Answers
Area = 72 in.
Perimeter = 36 in.
Hope this helps :))
To find perimeter, add the sides. . .
12 + 12 = 24
6 + 6 = 12
24 + 12 = 36 <------ The perimeter is 36 inches.
To find area, multiply the two sides. . .
12 x 6 = 76 <------ the area is 76 inches.
To combine the area and perimeter, add the numbers 76 and 36. . .
36 + 76 = 112 <--- the area and perimeter combined is 112 inches.
Hope this helps you.
Have a great day!
In a circle with a radius of 3635 cm, an arc is intercepted by a central angle of 2π7 radians. What is the arc length? Use 3.14 for π and round your final answer to the nearest hundredth.
Answers
C=θ/360πd
θ=2/7π=2/7*180=51 3/7°
d=2r=2×3635=7270 cm
hence the arc length will be:
C=(51 3/7)/360×π×7270
C=(1038+4/7)π cm
C=3,262.78 cm (to the nearest hundreth)
A treasure chest lies 100 meters below sea level. Write a positive or negative integer that represents the situation.
Answers
Hope this helped!
An integer that represents the situation is -100.
What are integers?
Any positive or negative number without fractions or decimal places is known as an integer, often known as a "round number" or "whole number."
Integers are positive and negative whole numbers.
In this case, we are given a situation where a treasure chest is located 100 meters below sea level.
The sea level can be considered as zero, so anything below sea level would be negative.
Therefore, we use a negative integer to represent this situation, and the negative integer that represents 100 meters below sea level is -100.
To learn more about the integers;
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This figure consists of a rectangle and semicircle.
What is the perimeter of this figure?
Use 3.14 for pi.
19.42 cm
20.28 cm
23.42 cm
32.84 cm
Answers
1. for the semicircle p₁=πr=3.1415*3≈9.4248 cm., where r=3 radius of the semicircle;
for the rectangle p₂=4*2+6=14 cm.
2. totaly: p=p₁+p₂=14+9.4248≈23.4248 cm.
answer: 23.42 cm.
Answer:
The perimeter of the figure is [tex]23.42\ cm[/tex]
Step-by-step explanation:
we know that
The perimeter of the figure is equal to the perimeter of the rectangle plus the circumference of a semicircle minus the length of [tex]6\ cm[/tex]
Step 1
Find the perimeter of rectangle
The perimeter of rectangle is equal to
[tex]P=2(L+W)[/tex]
In this problem we have
[tex]L=6\ cm[/tex]
[tex]W=4\ cm[/tex]
substitute
[tex]P=2(6+4)=20\ cm[/tex]
Step 2
Find the circumference of a semicircle
The circumference of a semicircle is equal to
[tex]C=\pi r[/tex]
we have
[tex]r=6/2=3\ cm[/tex] -----> the radius is half the diameter
substitute
[tex]C=3\pi\ cm[/tex]
Step 3
Find the perimeter of the figure
[tex]20\ cm+3\pi\ cm-6\ cm=(20+3.14*3-6)=23.42\ cm[/tex]
Carson wants to put her 232 stickers into a book that has 36 Pages if she puts 8 stickers on each page how many pages will be blank
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Jonas jogged up the hill at an average rate of of a 1/12 mile per minute and then walked down the hill at an average rate of of a 1/16 mile per minute. The round trip took him 42 minutes. What is the missing value in the table that represents the distance of the trip down the hill?
Table
Rate Time Distance
Up the Hill 1/12 x 1/12(x)
Down the Hill 1/16 42-x ?
Answers
Answer - [tex] \frac{1}{16} (42-x)[/tex] (In miles)
EXPLANATION
We know that distance traveled is calculated by multiplying average speed by total time.
According to the table,
Uphill average speed = [tex] \frac{1}{12} [/tex] (in miles per minute)
Uphill travel time = x (in minutes)
Total distance uphill = [tex] \frac{1}{12} x[/tex] (In miles)
The same way,
Downhill average speed = [tex] \frac{1}{16} [/tex] (in miles per minute)
Downhill travel time = 42 - x
Total distance downhill = Speed * Time = [tex] \frac{1}{16} (42-x)[/tex] (In miles)
The formula for distance is d = rt; Where r = rate; t = time
d =? ; r = 1/16; t = 42-x
d = rt
= 1/16 * 42-x
= (42-x) / 16
need help plz I need this by today because it's due Tomorrow
Answers
.. income = 52*985 = 51,220
Dale's withholding was
.. tax paid = 0.16*51,220 = 8195.20
According to the 3rd row of the table, Dale owes 8,770 in taxes, so must pay an additional
.. $8770 -8195.20 = $574.80
Dale owes $574.80.
The U.S.-based motorcycle manufacturer says that it expects to build 149000 motorcycles this year, up from 134000 last year. Find the percent of increase in production
Answers
15,000 / 134000 = 0.11
0.11 * 100 = 11
11 % increase
What is the area of the trapezoid? Enter your answer in the box. in2 The figure shows a trapezoid. The parallel bases of the trapezoid are horizontal, and top base is shorter than the bottom base. Vertical line segments are drawn inside the trapezoid from the upper vertices perpendicular to the bottom base. These segments are each 6 inches and divide the trapezoid into two right triangles and a rectangle. The rectangle lies between the two triangles. The bases of the triangles and rectangle make up the bottom base of the trapezoid. The base of each triangle is 4 inches, and the base of the rectangle is 8 inches.
Answers
Answer: [tex]\text{Area}=72\ inches^2[/tex]
Step-by-step explanation:
By the given description of trapezoid we get,
The height of the trapezoid h= 6 inches
The base of triangle = 4 inches
The base of rectangle (a)= 8 inches
The bottom base of the trapezoid (b)= 2×base of triangle +base of rectangle
The bottom base of the trapezoid (b)= [tex]2(4)+8=8+8=16\ inches[/tex]
The area of trapezoid is given by :-
[tex]\text{Area}=\frac{1}{2}(a+b)h\\\\\Rightarrow\text{Area}=\frac{1}{2}(8+16)(6)\\\\\Rightarrow\text{Area}=72\ inches^2[/tex]
Answer:
72
Step-by-step explanation:
What is another name for an indirect proof? Picture included
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There were 25 melons at the grocery store. The store sold 3/5 of the melons. How many melons were sold?
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Convert 3/5 to a decimal by dividing its numerator by its denominator.
3 ÷ 5 = 0.6
Next, multiply the total amount of melons in the store by the decimal.
25 × 0.6 = 15
ANSWER:
15 melons were sold.
meg runs 1 1/2 miles and walks 2 1/4 miles each day of the week. how far does meg run and walk in al each week? explain. remember, you can write an equivalent fraction fir 1 1/2
Answers
Meg walks and runs 3 3/4 in total each week.
We can find this answer by adding the two numbers, 1 1/2 and 2 1/4
Hope this helps :)
To solve this problem, you first add the numbers 1 1/2 and 2 1/4:
1 + 2 = 3
Try finding the Lowest Common Denominator (LCD) of the fractions. . .
1/2 = 2/4
1/4 = 1/4
2/4 + 1/4 = 3/4
1 + 2 = 3
4 = 4
(Since both have the same denominator, the final denominator stays the same.)
3 + 3/4 = 3 3/4
Since there are 7 days in a week, multiply 7 x 3 3/4 . . .
7 = 7/1
3 3/4 = 15/4
7 x 15 = 105
1 x 4 = 4
105/4 = 26 1/4 <------------
Meg runs 26 1/4 miles overall in each week.
Hope this helps you.
Have a great day!
Plzzzz help for 12 points
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Answer 3rd option from up to down
Is 90 g less than, greater than, or equal 9kg
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9 kg = 9000 grams since 1 kg is equal to 1000 grams (kilo = thousand)
So comparing "90 g to 9kg" is the same as "90 g to 9000g"
90g is smaller than 9000 g
therefore, 90 g is smaller than 9 kg