Answer:
13.85kg
Step-by-step explanation:
7 3/4=7.75
2 1/2=2.5
3 3/5=3.6
7.75+2.5+3.6
=13.85kg
Type the correct answer in each box. Use numerals instead of words.
The surface area of a cylinder is about 155.83 square feet. The height of the cylinder is 3 times the radius. What are the height and the diameter of the cylinder, to the nearest hundredth of a foot?
The radius is approximately___ feet and the height is approximately___feet.
The diameter and height of the cylinder are 4.98ft and 7.47 feet respectively
How to calculate the surface area of a cylinderThe formula for calculating the surface area of a cylinder is expressed as:
S = 2πr(r+h)
where
r is the radius
h is the height = 3r
Substitute into the expression to have:
S = 2πr(r+3r)
S = 2πr(4r)
S = 8πr²
155.83 = 8πr²
r = 2.49feet
Since h = 3r
h = 3(2.49)
h = 7.47 feet
Hence the diameter and height of the cylinder are 4.98ft and 7.47 feet respectively
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Answer:
The radius and height of the cylinder are 2.49 and 7.47 meters respectively
Step-by-step explanation:
Find the area of a circle with a radius of 21 inches. Use 22/7 for pi .
Answer:
okay so the area is 1386inches2
Step-by-step explanation:
[tex]area \: of \: a \: circle = \pi {r}^{2} \\ = \frac{22}{7} \times {21}^{2} \\ = \frac{22}{7} \times 441 \\ = 1386 {inches}^{2} [/tex]
Which ones are correct?
Answer:
2 only
Step-by-step explanation:
This answer assumes that we can assume that lines which look straight are straight.
Straight angles are also known as 180 degree angles, and if a straight angle is cut in half, then the two parts must add up to 180 degrees. In the first picture, we see that 90-x and 90+x are the angle measurements.
(90-x)+(90+x)=90+90+x-x=180 degrees
the second one has angles 97 and 83, which add up to 180 degrees
the third one has angles which add up to more than 180 degrees, so any answer containing the third one as being correct is wrong.
The answer should be 1 and 2, but, that isn't an answer. Looking back at 1, it can be seen that if x is a negative number, or if x was a number greater than 180 degrees, then the picture would not work, so 1 is invalid. this leaves only 2, so 2 only.
Sasha is mailing a photo box that has the dimensions shown in a rectangular box that is 12.5 inches long, 4.2 inches wide, and 12.5 inches tall. If one bag of packing material holds 75 cubic inches of material, how many bags does Sasha need to buy to fill the space around the photo box?
The number of bags that Sasha would need to fill the space around the photo box is 9 bags.
How many bags would be needed?The first step is to determine the volume of the photo box. The photo box has the shape of a cuboid. A cuboid is a three-dimensional object. It has six sides and six vertices.
Volume = length x width x height
12.5 x 4.2 x 12.5 = 656.25
Bags needed - 656.25 / 75 = 9
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A triangular prism is 15 yards long and has a triangular face with a base of 12.9 yards and a height of 10.3 yards. what is the volume of the triangular prism?
Answer:
Step-by-step explanation:
Area of the base = 1/2 * B * h
B: 12.9
h = 10.3
Area of the face = 1/2 * 12.9 * 10.3
Area of the face = 66.435
Volume = Triangle * height
Triangle = 66.435 yd^2
Height = 15 yd
Volume = 66.435 * 15
volume = 996.525
I think this should be rounded to one decimal place: 996.5
identify which of the following sequences is a geometric sequence. check all that apply. from math nation test yourself
A geometric sequence is any sequence that has a common ratio and a non-zero initial value
The sequence 2, 6, 18, 54, ..... is a geometric sequence
How to determine the geometric sequence?
A geometric sequence is represented as:
Tn = ar^(n - 1)
Where:
n represents the number of termsa represents the initial valuer represents the common ratioTn represents the current termAssume that:
a = 2 and r = 3.
The terms of the sequence would be:
T1 = 2 * 3^0 = 2
T2 = 2 * 3^1 = 6
T3 = 2 * 3^2 = 18
T4 = 2 * 3^3 = 54
So, we have:
2, 6, 18, 54, .....
Hence, the sequence 2, 6, 18, 54, ..... is a geometric sequence
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Find the measure of the angle given
Step-by-step explanation:
This is a cyclic quadrilateral, so angles E and P are supplementary.
Since angle P is 100 degrees, angle E is 180-100=80 degrees.
What is the area of the shaded region?
36 m
20 m
36 m
20 m
Answer:
896 meters sq
Step-by-step explanation:
Step 1. Find the area of each square
Big square: 36 x 36 = 1296
Small square: 20 x 20 = 400
Step 2. Find the area of the shaded region only
big square A - small square A = ONLY shaded region area
1296 - 400 = A
896 [tex]m^{2}[/tex] = A
I hope this helps!
Find the area of the shaded region
Answer:
Step-by-step explanation:
Remark
There are many ways you can do this. I think the simplest way is to find the area of the rectangle enclosing the winged shape and take away the area of the three unshaded triangles.
Area of enclosed rectangle
Area = L * w
L = 26 in
w = 15 in
Area = 26 * 15
Area = 390 square inches.
Find the area of the triangle on the right.
Area = 1/2 * b * h
base = 26 inches
height = 15 - 6 = 9
This is a little tricky. What you need to do to get the height of the triangle is realize that it is made from a line that goes from the base of the triangle to its peak. This line is perpendicular to the base. The line you just drew is 15 inches tall, same as the width of the enclosing rectangle.
Substitute values into the formula
Area = 1/2 * 26 * 9
Area = 117 square inches.
Find the area of the top and bottom triangles.
These 2 triangles are the same sort of thing only the base requres a bit of manipulation
height = 15 inches
base = (26 - 14)/2
base = 12/2
base = 6
Again, this requires a little bit of thought. You have 2 bases making up each of the right triangles. To find the sum of both of them, you take 26 and subtract 14 from it. That's where the 12 comes from. Now you divide 2 to get the base of each of the triangles. That gives you 6.
Find the area of one of the triangles.
Area = 1/2 * b * h
Area = 1/2 * 6 * 15
Area = 45 square inches
Find the area of both triangles.
Area of triangles at the top and bottom = 2*45 = 90
Finally find the area of the shaded area.
Area = enclosed rectangle - top triangle and bottom triangle - the triangle on the right.
Area shaded area = 390 - 45 - 45 - 117 = 183
Answer: Area shaded region = 183 square inches.
choose the imensions that represen this rectlangl
answer
length:2/5
width: 3/6
length:2/4
width:3/4
length:2/3
width:3/5
length:2/3
width:3/4
Answer:B
Step-by-step explanation:I hope it help
Abby and her mom are driving on a road trip, and Abby is watching the milepost signs go by. Each hour she writes down which mile marker they pass and records her results in the table given. HoursMilepost162262 plus 50 equals 1123112 plus 50 equals 1624162 plus 50 equals 212 Question If Abby wants to write an equation to find the milepost they will pass, y, after driving for x hours, which type of equation would be ,begin emphasis, most
Considering that the mile counter increases by 50 every hour, a linear function should be empathized.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, they start at mile 62, and the counter increases by 50 every hour, which is a fixed amount, hence a linear function should be used.
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when I think of a number, double it , then add seven , I get 23. Determine the number I first thought of
Answer:
8
Step-by-step explanation:
2x + 7 = 23
2x = 16
X = 8
If you help I’ll give brainlist thing pleaseeee
Answer:
a. y = 10
b. x = 5 - (5y/2)
c. y = 6x - 11
Step-by-step explanation:
a.
2(y - 3) = 4
2y - 6 = 4
2y = 10
y = 5
b.
2x + 5y = 10
2x = 10 - 5y
x = 5 - (5y/2)
c.
6x + 3y = 4y + 11
6x = y + 11
y = 6x - 11
d.
I don't know this one, sorry.
omg please help its due by 12 am! the sum of 2 numbers is 69. the larger number is 3 less than twice the smaller number .find the numbers. show your work!
Answer:
The smaller number is 24
The larger number is 45
Step-by-step explanation:
smaller number = x
Larger: 2x - 3
Smaller + larger = 69
x + 2x - 3 = 69 Combine left
3x - 3 = 69 add 3 to both sides
3x - 3+3 = 69+ 3 Combine
3x = 72 Divide by 3
3x/3 = 72/3
x = 24
Larger number = 2*24 - 3
Larger number = 45
Is this just a fancy way of saying to graph the point (2,-6) or am I supposed to graph a line?
Answer:
I do know what that is saying it's saying the rise of the line is going to be -6 and the run is going to be 2.
Step-by-step explanation:
Your supposed to graph a line I don't exactly remember how to do it but yeah you're supposed to graph the line.
I need a lot of help!
Is 54.03 + 4.04 greater than 54 + 4.4?
Answer:
54+4.4 is greater
Step-by-step explanation:
if u need explanation than please ask
Tyrell and Marianne start at the same point. Tyrell walks 2.5 miles north in a straight path. Marianne walks 6.0 miles east in a straight path. How many miles apart are they at the end of their walks rounded to the nearest hundredth mile?
Answer: 6.5 is the answer.
Step-by-step explanation:
PLS HELP!!!!For each sequence determine whether appears to be a ARITHMETIC or GEOMATRIC or neither ( pictures attached)
Answer:
The first one is geometric. The second one is gemetric. The last one is arithmetic.
Step-by-step explanation:
Using the Rule of 72, how long would it take for Anthony to double his investment of $5,000 in a
money market account that earns 7% per year?
Answer: About 10.2857 years
=============================================================
Explanation:
For the rule of 72, we divide the number 72 over the interest rate without the percent sign. We do not convert to decimal form. Simply erase the percent sign.
For example, if the interest rate was 6%, then we estimate it would take 72/6 = 12 years for the amount to double.
In this case of a 7% interest rate, the doubling time is roughly 72/7 = 10.2857 years.
-------------
Extra Notes:
The starting deposit doesn't matter, so we can ignore the "5000". The interest rate must stay the same the entire time.Can someone please help me with this (a^3-(2*b))*(a^3-(3*b)) equation
Hope the picture will help you...
Farm A has 120 sheep. of the sheep have lambs. Some of the sheep have 1 lamb and some of the sheep
have 2 lambs. The ratio of the sheep who have 1 lamb to the sheep who have 2 lambs is 3:5.
(a) What fraction of the sheep who have lambs on farm A have 2 lambs?
Answer:
75/120 = 15/24 = 5/8
Step-by-step explanation:
3 + 5 = 8 There are 8 parts
120 / 8 = 15
15 X 5 = 75
There are 75 sheeps with 2 lambs
The total number of sheep having 2 lambs in farm A is [tex]0.625[/tex].
To find the fraction of the sheep who have lambs on farm A have 2 lambs, we need to have the total number of sheep having 2 lambs in farm A.
How to determine the fraction of sheep?
According to the question, the ratio of the sheep having 1 lamb and 2 lambs is [tex]3:5[/tex] and the total number of sheep is 120.
So, the total number of sheep having 2 lambs in farm A is calculated as-
[tex]L_2=\dfrac{5}{3+5}\times 120\\=5\times 15\\=75[/tex]
Now, the fraction of the total number of sheep having 2 lambs in farm A is-
[tex]F=\dfrac{75}{120}\\=0.625[/tex]
Thus, the total number of sheep having 2 lambs in farm A is [tex]0.625[/tex].
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PLEASE SOLVE THIS I NEED IT I GOTTA GO TO SCHOOL AT MONDAY I NEED IT ILL GIVE BRAINLIES
Answer:
In order to make a triangle, the sum of 2 sides must be greater than the third side
in number one 2+3=5 so no you can't make a triangle
you can do it likewise ...
Solve for x and round to nearest tenth <3
What is the scale factor???
Answer:
I believe your answer is 2 because that is the difference in the width of the cars.
Prove the identity.
(1 - sin’x) cscx = cosx cotx
=
Note that each Statement must be based on
the right of the Rule.
rules:
algebra, reciprocal, quotient, pythagorean, odd/even
[tex]\textit{Pythagorean Identities} \\\\ sin^2(\theta)+cos^2(\theta)=1\implies cos^2(\theta)=1-sin^2(\theta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\\ [1-sin^2(x)]csc(x)~~ = ~~cos(x)cot(x) \\\\[-0.35em] ~\dotfill\\\\\ [1-sin^2(x)]csc(x)\implies cos^2(x)csc(x)\implies cos^2(x)\cdot \cfrac{1}{sin(x)} \\\\\\ cos(x)\cdot \cfrac{cos(x)}{sin(x)}\implies cos(x)cot(x)[/tex]
Suppose that a family wants to start a college fund for their child. if they can get a rate of 5.2%, compounded monthly, and want the fund to have a value of $55,500 after 20 years, how much should they deposit monthly? assume an ordinary annuity and round to the nearest cent. a. $131.93 b. $2,662.49 c. $1,643.30 d. $3,446.64 please select the best answer from the choices provided a b c d
Answer:
a. $131.93
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
edge
Garrett is cutting square patches from old sports jerseys. Each
patch has an area of 1 ft?. He wants to put some of the
patches together to make square quilts.
Which areas listed below are possible areas of the square
quilts Garrett can make? What side length will each of
those square quilts have? Show your work.
The areas listed that are possible areas of the square quilts Garrett can make will be 0.25, 0.81, etc.
How to calculate the area?Your information is incomplete as your didn't give the areas listed. Therefore, an overview will be given.
It should be noted that the area of a square is simply gotten by multiplying the side by itself. For example, if a side is 4cm, the area will be 4 × 4 = 16cm².
In this case, we are told that each patch has an area of 1 ft. Therefore, the square of the area gotten should not be more than 1 feet. Possible values include:
0.5 × 0.5 = 0.25
0.9 × 0.9 = 0.81
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Garrett is cutting square patches from old sports jerseys. Each
patch has an area of 1 ft?. He wants to put some of the
patches together to make square quilts.
Which areas listed below are possible areas of the square
quilts Garrett can make? What side length will each of
those square quilts have? Show your work.
2,5,8,...
Find the 41st term.
Answer:
Step-by-step explanation:
hello :
this is the arithmetic -sequence because : 8-5=5-5=3 (comon dif)
An =A1+(n-1)r calculate......... (A1=2 and r=3 and n=41) continu...
Answer:
122
Step-by-step explanation:
The length of a rectangle is eight more than triple the width. If the perimeter is 168 inches, find the dimensions.
Answer:
P= 2(3W + 7) + 2(W) = 110.
P= 6W + 14 + 2W = 110.
= 8W + 14 = 110.
= 8W = 110 - 14 = 96
W = 96/8 = 12- inches.
Now solve for (L) by L = 3W + 7 = 3(12) + 7 = 36 + 7 = 43- inches
7=43 inches if this help.can u mark me brainliest
The width of the rectangle is 12 inches and the length is 43 inches.
What is the perimeter?
The perimeter is defined as the sum of all the sides of the figure. It is given that the length of a rectangle is eight more than triple the width and the perimeter is 168 inches.
The length and the width are calculated as:-
P= 2(3W + 7) + 2(W) = 110.
6W + 14 + 2W = 110.
8W + 14 = 110.
8W = 110 - 14 = 96
W = 96/8 = 12 inches.
Now solve for (L) by
L = 3W + 7 = 3(12) + 7
L = 36 + 7 = 43 inches
Hence, the width is 12 inches and the length is 43 inches.
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How many different possible outcomes are there if you flip five coins?
Answer:
There are 10 different outcomes of flipping a coin five times.
Step-by-step explanation:
there are two sides on a coin. 2 x 5 = 10
Hope that helps!
Answer:
2
Step-by-step explanation:
it heads or tales a coin is two-sided no matter what kind unless you are talking about all together then it would be 10