2 models divided into 100 parts. Left: 68 are shaded gray. Right: 68 are shaded gray.
=====================================================
Explanation:
Consider the problem of 0.68 of 1, in other words 0.68*1 or simply 0.68
The number 0.68 is 68/100 or 68 over 100. We can have a 10 by 10 grid of tiny squares. Shade in 68 of them to represent 0.68 aka 68 hundredths.
So you'd have 6 full rows shaded (to account for 0.60 so far) and then an additional 8 squares in the seventh row (adding on 0.08 to get 0.60+0.08 = 0.68)
All of this is for one square. Double this process and you'd get 0.68*2 to represent the value 1.36
In total, 2*68 = 136 squares are shaded out of 2*100 = 200 squares total.
This figure represents a small weight that is to be covered on all sides with a floral fabric. How much fabric is needed to cover the weight? Enter your answer as a decimal in the box.
Answer:
77.5 cm²
Step-by-step explanation:
We need to find the surface area of the rectangular prism.
Total surface area = 2(lw + wh + lh)
where:
l = length of basew = width of baseh = height of prismGiven dimensions:
[tex]\textsf{length}=\sf 6\dfrac12\:cm=6.5\:cm[/tex]
[tex]\textsf{width}=\sf 2\dfrac12\:cm=2.5\:cm[/tex]
[tex]\textsf{height}=\sf 2\dfrac12\:cm=2.5\:cm[/tex]
Substituting these value into the formula:
[tex]\begin{aligned}\textsf{Surface area} & =\sf 2(6.5 \cdot 2.5+2.5 \cdot 2.5+6.5 \cdot 2.5)\\ & = \sf2(16.25+6.25+16.25)\\ & = \sf 2(38.75)\\ & =\sf77.5\:cm^2 \end{aligned}[/tex]
Therefore, 77.5 cm² of fabric is needed to cover the weight.
If [tex]$l$[/tex] be the length of cuboid, [tex]$b$[/tex] be the breadth of cuboid and [tex]$h$[/tex] be the height of cuboid, then its total surface area (TSA) of cuboid is given by,
[tex]\;\longrightarrow\boxed{\tt{TSA = 2(lb + bh + lh)}}[/tex]
A cuboid is also known as rectangular prism.
Elucidation:We need to find the surface area of the cuboid or rectangular prism whose length, breadth and height are given.
Length = 6 1/2 = 6.5cmBreadth = 2 1/2 = 2.5cmHeight = 2 2/2 = 2.5cmNow by using the formula of surface area nd substituting the given values, we get the following results:
[tex]\implies\tt{Surface\;area = 2(6.5 \times 2.5 + 2.5 \times 2.5 + 6.5 \times 2.5)}\\[/tex]
[tex]\implies\tt{Surface\;area = 2(16.25 + 6.25 + 16.25)}\\[/tex]
[tex]\implies\tt{Surface\;area = 2(38.75)}\\[/tex]
[tex]\implies\boxed{\pmb{\tt{Surface\;area = 77.5}}}\\[/tex]
Hence, this is our required solution for this question.
[tex]\rule{300}{1}[/tex]
Additional information:Volume of cylinder = πr²hT.S.A of cylinder = 2πrh + 2πr²Volume of cone = ⅓ πr²hC.S.A of cone = πrlT.S.A of cone = πrl + πr²Volume of cuboid = l * b * hC.S.A of cuboid = 2(l + b)hT.S.A of cuboid = 2(lb + bh + lh)C.S.A of cube = 4a²T.S.A of cube = 6a²Volume of cube = a³Volume of sphere = 4/3πr³Surface area of sphere = 4πr²Volume of hemisphere = ⅔ πr³C.S.A of hemisphere = 2πr²T.S.A of hemisphere = 3πr²Peyton and James each bought a large cookie cake. The cookie cakes are
the same size.
Peyton cut his cookie cake into 12 slices.
James cut his cookie cake into 6 slices and ate 4 slices.
Together Peyton and James ate 10
12 of one cookie cake.
How many slices of cake did Peyton eat?
A 1 slice
B 2 slices
C 3 slices
D 4 slices
Answer:
2 slices.
Step-by-step explanation:
Let's say that James' cake is essentially one half of Peyton's cake. 6 x 2 is 12, and 4 x 2 is 8. So James' must have eaten 8 slices while Peyton ate 2.
If you invest $1600 at 5% for 3 years, how much simple interest is earned?
Answer:
$240
Step-by-step explanation:
S.I=PRT/100
P=$1600
R=5%
T=3
S.I =1600*5*3/100
S.I=$240
HELP ME PLEASE
b) Your sister says that the angles ∠DCA and ∠BCA are supplementary angles. Is she correct? Explain your reasoning. (1 point)
c) Is triangle DCA congruent to triangle BCA? Explain. (2 points)
Answer:
B) No, supplementary angles are either of two angles whose sum is 180 degrees.
C) Yes, the triangles are congruent because the triangles have exactly the same size and shape
Step-by-step explanation:
B) From the image below an 180 degree angle would be obtuse in which neither angle appears to be so they are not supplementary.
C) They are congruent because they are taking angles of the same angles as one another just on different sides of the shape.
Suppose the probabilities for the letters on a spinner are known to be: p(A)=1/4 p(B)=1/3 p(C)=5/12 predict the number of times you would land on each letter if you were to spin the spinner 96 times
Answer:
You will end up on A 3 times, B 4 times, and C 5 times.
Step-by-step explanation:
Just divide 12 by each value and you get your answer.
write an expression to represent the area of the flag as the product of the flags length and width
Answer:
A = l * w
Step-by-step explanation:
the length times width would be the area, so just make variables of each thing and then you are good! It would be important to note any more information that is given, like the ratio of the length and the width, in which case just add the respective coefficients based on the ratio (e.g 3:2 would mean 3l * 2w = A). Hope this helps!
Without looking, Karen flipped to a page in the phone book and called a number from that page. Repeating that approach, she called 173 phone numbers from the phone book.
Is this a random sample of the phone numbers in the phone book?
Answer as a Yes or a No
I need help with this
Answer:
(1/2x6.9x8) (1/2x 10x6.9) =
Step-by-step explanation:
A=952.2m^2
Solve-
[tex]\frac{12}{3}[/tex] divided by [tex]\frac{5}{8}[/tex]
Answer:
0.1
Step-by-step explanation:
0.1 is the answer
Write the equation of a line that passes through the point (–10, 2) that has a slope of .5
Answer:
y=(.5)x+7
Step-by-step explanation:
Hello. For this question, they are asking us to find the equation of a line. A line has this form: y=mx+b.
For this question they will want us to give the answer with x and y as variables (letters) and m and b (the slope and y-intercept respectivly) with numerical values.
First, we can put in the point into the equation. The point given is (-10,2) so the x value is -10 and they y value is 2.
y=mx+b
2=m(-10)+b
Then we know that the slope is .5, so we can put that in as m.
2=(.5)(-10)+b
Solving for b, we get that it is equal to 7.
[2+5=b] b=7
Therefore, the equation for the line would be:
y=(.5)x+7
what is the area ???
Answer:
138.5 should be your answer
Step-by-step explanation:
7x7= 49/2= 24.5
4x11= 44
10x7= 70
add them all and there ya go
Answer:
The area of your shape would be 152.5.
Step-by-step explanation:
this is because you can split this into 3 diffrent shapes and find the area of those then you add them up those numbers for this problome would be 70, 44, and 38.5.
math that I also need help with
Answer:
1,040.91 in squared
Step-by-step explanation:
Let me know if you need an explanation
What is the m∠1?
Triangle with horizontal base. Base extends leftward, creating angle labeled 96 degrees. One nonadjacent interior angle is labeled 29 degrees. The other nonadjacent interior angle has an angle arc and is labeled 1.
Question 5 options:
84°
29°
71°
67°
Answer:
767 96-29. to check your add.
PLS helllllllllp.......
Answer:
I think it is the bottom left corner
Step-by-step explanation:
LMK if I am wrong.
Starting at 7:00 a.m., Lin spent a day hiking through a canyon. This graph shows her elevation (in meters) at some different times. Negative values of X represent times earlier than noon, and positive values of X represent times later than noon.
What was Lin's elevation at noon?
Answer:
Sorry for my bad handwriting it's hard write in a computer
Step-by-step explanation:
Can you please help me understand this concept?
Step-by-step explanation:
It is an equal step by step equation because the prism has equal sides, so you would just have to add all them up and too try to find the surface area, and you know how the bottom is ten so the top would be ten too.
Hello PLS HELP.................
7 Points: What is the volume of this rectangular pyramid?
_______ cubic yards
Answer:
25 cubic yardsStep-by-step explanation:
[tex]\large\text{volume of a rectangular pyramid} =\frac{1}{3} \times \text{base} \times \text{height}[/tex]
[tex]=\frac{1}{3} \times \left( 5\times 5\right) \times 3[/tex]
[tex]=\frac{1}{3} \times \left( 25\right) \times 3[/tex]
[tex]=\frac{1}{3} \times \left( 75\right) =\frac{75}{3} =25[/tex]
Answer:
5 yards
Step-by-step explanation:
The volume V of a pyramid is one-third the area of the base B times the height h .
[tex]volume \: = \frac{1}{3} \times base \times height[/tex]
[tex] \frac{1}{3} \times 5 \times 3 = 5yards[/tex]
rational numbers; please help!!
Answer: 1 Aad 2
Step-by-step explanation:
3/2 is the same as 1/6
The number j increased by 4 I NEED IT IN A EXPRESSION (it's not 2y+4)
Find the area of the circle. Round your answer to two decimal places, if necessary.
Answer:
A≈50.27
Step-by-step explanation:
The formula for an Area of a circle is: A=πr(squared)
As was can the the diametter is 4, and the radius is half of the diameter, making the radius half of 4 whitch is 2. now just plug in two for R.
A= π4(squared)
4(squared) = 16
A= 16π
A= 50.27
Please help
thank you
Please help with this one too.
Answer:
Infinite solutions
Step-by-step explanation:
all real answers or infinte solutions
Help with this also please ASAP
40 divided by (20 - 16)
40 divided by 4
10
answer is 10
Diane has to give medicine to her cat every morning for the next 14 days. How many weeks is this?
Answer:
2 weeks
Step-by-step explanation:
There are 7 days in one week so 7+7 would equal two weeks which is 14
In a survey of 150 students, about 4.5% have attended more than one play. Which of the following is closest to the number of students in the survey who have attended more than one play? 3 students 5 students 7 students 9 students
Answer:
Answer: 6
Step-by-step explanation:
Well it is pretty easy since all you have to do is make the percent a decimal, 0.045, and multiply it by the total of students surveyed. And of course, there cannot be . 75 of a student.
......................
Answer:i think u just divided
I Step-by-step explanation:
A local real estate company has 4 real estate agents. The number of houses that each agent sold last year is shown in the bar graph below. Use this bar graph to answer the questions.
Answer:
Part A: Ravi, 12
Part B: 1
Part C: 3
Step-by-step explanation:
Want to help me out here?
Answer:
the answer is d-2688
Step-by-step explanation:
according to my calculator ! hope this helps
Answer:
try D 2,688
Step-by-step explanation:
14 x 12 x 16 = 2,688 my bad for the last one
What would be the least amount of money needed to purchase exactly 19 muffins?
Number of Muffins: Total Price:
1 ⇒ $0.60
Box of 6 ⇒ $3.25
Box of 12 ⇒ $5.75
A. $9.00
B. $9.25
C. $9.35
D. $9.95