The total surface area is given by:
The base of the cylinderThe lateral surface of the cylinderThe surface of the hemishpereThe base of the cylinder is a circle with radius 5cm, so its area is
[tex]A=\pi r^2=25\pi[/tex]
The lateral surface of the cylinder is a rectangle whose base is the circumference of the base circle, and whose height is the height of the cylinder. So, its area is
[tex]A=b\cdot h=2\pi r\cdot h = 10\pi\cdot 8=80\pi[/tex]
Finally, the surface of a sphere is given by
[tex]A=4\pi r^2[/tex]
so, half that surface will be
[tex]A=2\pi r^2=50\pi[/tex]
And the total surface area will be the sum of the three areas:
[tex]A=25\pi+80\pi+50\pi = 155\pi[/tex]
Answer:
Total surface area of the figure[tex]=486.7cm^2[/tex]
Step-by-step explanation:
Total surface area of the figure= Surface area of cylinder + Area of the top hemisphere
[tex]r= 5cm\\\\h= 8cm[/tex]
Area of the cylinder with the side walls and the the bottom:
[tex]A=(2*\pi* r*h)+(\pi *r^2)[/tex]
[tex]=(2*3.14*5*8)+(3.14*5*5)\\\\ =251.2+78.5\\\\ = 329.7 cm^2[/tex]
Area of the top hemisphere:
[tex]2*\pi *r^2[/tex]
[tex]=2*3.14*5*5[/tex]
Area of the top hemisphere= [tex]157 cm^2[/tex]
Total surface area of the figure [tex]= 329.7+157\\\\[/tex]
[tex]=486.7cm^2[/tex]
71, 71, 71, 72, 72, 73, 74, 74, 75, 76, 84 The high temperatures in degrees Fahrenheit on 11 consecutive days are shown. Which measure of central tendency best describes the temperatures?
A. Mean
B. Median
C. Mode
D. Range
Answer:
median
Step-by-step explanation:
The median is the best description of the high temperature. The outlier of 84 degrees raises the mean.
Rewrite 6a+18b in factored form
Answer:
= 6 ( a + 3b)
Step-by-step explanation:
6a + 18b
The highest common factor of 6 and 18 = 6
Therefore,
6a + 18b = 6( 6a/6 + 18b/ 6 )
= 6 ( a + 3b)
I hope this was helpful, please rate as brainliest
In the above figure, m∠AOC = 26° and m∠BOD = 2x + 32. If ∠AOC and ∠BOD are vertical angles, what is the value of x?
The value of x is -3.
Step-by-step explanation:
It is given that the angles ∠AOC and ∠BOD are vertical angles.The vertical angles have same measure of angles.Therefore, ∠AOC is equal to ∠BOD.⇒ 26° = 2x+32
⇒ 2x = 26-32
⇒ 2x = -6
⇒ x = -6/2
⇒ x = -3
Substitute x=-3 in ∠BOD = 2x+32
∠BOD = 2(-3)+32 = 26°
Answer:
d
Step-by-step explanation:
F
2. What is the leading coefficient of the polynomial? - 7x2+ 3x -10
re
Answer:
The leading coefficient is -7
Step-by-step explanation:
The leading coefficient is the number in front of the highest power variable. In this case, the highest variable is x^2 and in front of it is -7. Therefore, the leading coefficient is -7
Answer: The leading coefficient is -7
Today everything in a store is for sale. THe store offers a 30% discount. The regualar price for a T-shirt is 18$. What is the discount price
Answer:
12.60
Step-by-step explanation:
Start off by the total which is 18. To find the percentage off you will have to make the 30% into a decimal, so simply move it two spaces to the left. Now you have .30. Multiply the decimal, .30, and the full amount, 18. Your equation now should be (.30)*(18). Your answer will be 5.40. 5.40 is what is off of the shirt from the original price, so subtract 5.40 from 18. Your equation now is (18-5.40) which is 12.60.
Stefan has 38 t shirts. He gave 3 to each of his friends. Now he only has 2 t shirts. How many friends does he have?
Answer:
Stefan has 12 friends. He's very popular
Step-by-step explanation:
38/312.6 or 12 remainder 2Does 2.1,7.2,7.5 make a right triangle
Answer: yes it does
Step-by-step explanation:
When you graph it on a graph piece of paper it is a right triangle
Answer:
2.1 , 7.2 , 7.5 does NOT make a right triangle
Step-by-step explanation:
Finding if the values make a right angled trianglethe formula for finding if its an acute , obtuse , right-angled triangle
acute [tex]c^{2} < a^{2} + b^{2}[/tex]
obtuse [tex]c^{2} > a^{2} + b^{2} \\[/tex]
right angled [tex]c^{2} = a^{2} + b^{2}[/tex]
c is the hypotenuse
a and b are the adjacent and the opposite
the values given are 2.1 , 7.2 , 7.5
hence :
c would be 2.1
a would be 7.2
b would be 7.5
now we can put this into the right angled triangle formula to see if its correct.
[tex]c^{2} = a^{2} + b^{2}[/tex]
lets first see the value of [tex]a^{2} + b^{2}[/tex]
= 7.2^2 + 7.5^2
[tex]a^{2} + b^{2}[/tex] = 108.09
to check if its a right angled triangle we check if the value of c^2 gives 108.09.
find the value of [tex]c^{2}[/tex]
= 2.1 ^2
[tex]c^{2}[/tex] =4.41
hence 4.41 is NOT equal to 108.09
hence its not a right angled triangle but rather an acute angle.
2.1 , 7.2 , 7.5 does NOT make a right triangle
What is the simplified value of 5x to the power of 3 over 10x squared
how do you find the missing side lengths?
A line passes through the points (-1,-5) and (4,5). The point (a, 1) is also on the line
Answer:
(2, 1) is the point.
D. 2
90 degrees clockwise about the origin
Answer:
Rotation of point through 90° about the origin in clockwise direction when point M (h, k) is rotated about the origin O through 90° in clockwise direction. The new position of point M (h, k) will become M' (k, -h).
Step-by-step explanation:
Hope this explains it. Use the quadratic squares to help on a graph!
Answer:
0 Degree Clockwise Rotation. Learn about the rules for 90 degree clockwise rotation about the origin. ... Rotation of point through 90° about the origin in clockwise direction when point M (h, k) is rotated about the origin O through 90° in clockwise direction. The new position of point M (h, k) will become M' (k, -h).
Step-by-step explanation:
Hiw do I Graph the line y=-3
Answer:
Step-by-step explanation:
Answer:
The graph below should help:
The glacier moves 5 centimeters in 8 days. How many days does it take the glacier to move 1 centimeter?
HELP! What is the value of X in the following parallelogram? WILL GIVE BRAINLIEST!
Answer:
x = 2
Step-by-step explanation:
Step 1: Set 3x - 2 equal to 5x - 6 to get x
3x - 2 = 5x - 6
Step 2: Solve for x
3x - 2 + 6 - 3x = 5x - 6 + 6 - 3x
4 / 2 = 2x / 2
2 = x
Answer: x = 2
Answer:
2
Step-by-step explanation:
5x-6=3x-2
5x-3x=-2+6
2x=4
x=2
A cylindrical pipe has a circumference of 16cm
Calculate the diameter of the pipe
Please show method cleary
Step-by-step explanation:
pi×diamiter = circumference
pi÷circumference = diamiter
3.14159265358979 (pi) ÷ 16
Calculate the diameter of a cylindrical pipe with a circumference of 16cm using the formula C = πd. Hence the diameter of the pipe is approximately 5.09 cm.
The circumference of a cylindrical pipe is related to its diameter through the formula C = πd, where C is the circumference, π is Pi (approximately 3.14159), and d is the diameter. Given that the circumference is 16 cm, we can use the formula to solve for the diameter:
16 = πd
16 = 3.14159d
d = 16 / 3.14159 ≈ 5.09 cm
Therefore, the diameter of the pipe is approximately 5.09 cm.
Jeremy washes 3/8 of the plates from dinner if 16 plates were used how many plates did Jeremy wash
Answer:6
Step-by-step explanation: we simplify 1/16 by dividing it in half, so half of 16 is 8. And according to the question there were 3/8 washed plates. So we reverse that by multiplying the fraction by 2. 3/8•2= 6/16.
What is the product of (-a+3)(a+4)
Answer:-a^2-a+12
Step-by-step explanation:
(-a+3)(a+4)
Clear brackets
-a^2-4a+3a+12
Add like terms
-a^2-a+12
1 What is the slope of the graph of y = 12x – 19?
Answer:-228
Step-by-step explanation:
Find a(33) if the first term in the sequence is 3 and the common difference is -1.
Answer:
Step-by-step explanation:
a(n) = a + (n-1)d
a(33) = 3 + (33-1)*(-1)
= 3 + 32*(-1)
= 3 - 32
= -29
The 33rd term (a33) in an arithmetic sequence starting with 3 and a common difference of -1 is -29. This is achieved by using the formula for finding a term in an arithmetic sequence.
Explanation:The question is asking for the 33rd term in a sequence where the first term is 3 and each following term is derived by subtracting 1 from the previous term, a common process known as an arithmetic sequence. The formula to find any term (an) in an arithmetic sequence is an = a1 + (n - 1)d, where a1 is the first term, d is the common difference, and n is the term number.
So, to find a(33) (the 33rd term), we will fill in the formula as follows: a33 = 3 + (33 - 1)*-1
Which simplifies to: a33 = 3 - 32 = -29
So the 33rd term of the sequence is -29.
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A wire is first bent into the shape of a square. Each side of the square is 6cm long. Then the wire is unbent and reshaped into a rectangle. If the length of the rectangle is 9cm, what is its width?
Hi there!
Assuming a perfect square: we know there are 4 sides in a square, and all of them have equal length. This means that every side of the square is 6 cm, and with 4 sides, that would make an overall length / perimeter of 6 + 6 + 6 + 6, or 6*4, which would equal 24 cm. This means that our wire must be 24 cm long.
Now, for the rectangle. We know with rectangles that they also have 4 sides, and in pairs of 2 in terms of length (2 of the sides have the same length, and the other two have the same length). This means we know there are 2 sides that are 9 cm, which would mean 18 cm in total. This is the total amount of wire taken up by the length, but we are looking for the width. Thus, we can see how much wire is leftover not taken up by the length by subtracting 18 from 24:
24-18=6
Now, we see that the two sides that make up the width are 6 cm long. As those two sides are equal length, we can divide 6 cm into two equal parts to see the width.
6/2 = 3 cm.
Thus, the width of the rectangle is 3 cm.
Hope this helps!
The wire, when bent into a square, has a total length of 24cm. When reshaped into a rectangle with a length of 9cm, the width must be 3cm to maintain the same total length.
Explanation:The subject of this problem is geometry and algebra. We know that a wire is bent into the shape of a square with each side being 6cm. The total length of the wire is the perimeter of the square, which can be calculated as 4 * side length, so the total length of the wire is 4*6 = 24cm.
Then the wire is reshaped into a rectangle where the length is given as 9cm. Since the total length of the wire has not changed, the perimeter of the rectangle is also 24cm. The perimeter of a rectangle can be calculated as 2*(length + width). If we set this equal to 24, we get 2 * (9 + width) = 24. Solving for width, we find that the width is 3cm.
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An angle measures 65.6° less than the measure of its complementary angle. What is the
measure of each angle? This is IXL w17 7th grade. Thanks!
Answer:
The 2 angles are 12.2 and 77.8 degrees.
Step-by-step explanation:
Let the measure of one angle be x degrees, then it's complementary angle = 90-x degrees.
So we have the equation:
x = 90 - x - 65.6
2x = 90 - 65.6 = 24.4
x = 12.2 degrees.
Its complement = 90 - 12.2 = 77.8 degrees.
z varies directly as x². If z=8 when x=2, find z when x=7
Answer:
98
Step-by-step explaination:
For this question, it is a direct variation. Hence, the equation would be formed accordingly, and the constant k would also be used.
z varies directly as x²
z= kx² where k is the constant
z = 8
x = 2
Putting the figures in the equation, we have
8=2²(k)
8= 4k
Dividing both sides by 4, we have
k = 8/4
k = 2
Solving for z now, we substitute k with 2. And x with 7
z=kx²
z = 2(7²)
z= 2(49)
z= 98
If it were indirect variation, the constant would have been 1/k. We also have other types of variation, Indirect variation, partial variation and joint variation.
Cameron wants to buy six video games all costing the same amount he has a $30 coupon and he can spend no more than $100 write an inequality to find the possible cost of each video game
Let's work this problem step by step, using each piece of given information to create the inequality:
Let x represent the cost of each video game that Cameron wants to buy. The price of the 6 games will be 6 multiplied with x, or 6x.Cameron has a $30 coupon, which means that the price of the video games after the coupon will be 30 less than 6x, which is 6x - 30.The last piece of information is that Cameron cannot spend any more than $100. Thus, the equation 6x - 30 must be less than or equal to 100.Putting all this together, we can create the inequality:
[tex]6x-30\leq 100[/tex]
If you need the inequality solved for x, let me know and I'll help you solve it
Also, let me know if you need any clarifications, thanks!
~ Padoru
P.S. Congrats on asking the 15 millionth question on Brainly!
Answer:
x ≤ $21.66 which goes on forever
Step-by-step explanation:
Step 1: Make an inequality
6x - 30 ≤ 100
Step 2: Solve for x
6x - 30 + 30 ≤ 100 + 30
6x / 6 ≤ 130 / 6
x ≤ $21.666666666666666666666666666667
Answer: x ≤ $21.66 which goes on forever
You posted the 15 millionth question on Brainly. Congrats
Which of the following is an example of the distributive property?
(3 x 6) x 8 = 3 x(6 x 8)
2 + (9-4) = (2+9) - 4
(4 + 3)2 = (4 + 3)(4 + 3)
5x (7 - 1) = (5 x 7) - (5 x 1)
i
the answer is D 5x(7-1)=(5x7)-(5x1)
Find the volume of a rectangular prism with a length of 13.2 in, a width of 13.8 in and
a height of 15.9 in, to the nearest tenth of a cubic inch.
Final answer:
To find the volume of a rectangular prism, multiply its length, width, and height. For this specific prism, the volume is 2936.76 cubic inches.
Explanation:
Volume is calculated by multiplying the length, width, and height of a rectangular prism:
Volume = length x width x height
Given dimensions: length = 13.2 in, width = 13.8 in, height = 15.9 in.
Substitute the values into the formula: Volume = 13.2 in x 13.8 in x 15.9 in = 2936.76 in³
Therefore, the volume of the rectangular prism is 2936.76 cubic inches.
A town has a population of 14000 and grows at 5% every year. What will be the population after 14 years, to the nearest whole number?
Answer:
27719
Step-by-step explanation:
The population after 14 years, to the nearest whole number is 27,719.
Given that,
A town has a population of 14000 and grows at 5% every year.And, the time period is 14 yearsThe calculation is as follows:
[tex]= 14,000 \times (1.05)^14[/tex]
= 27,719
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A circle with an area 9pi has a sector with a central angle of 1/9pi what is the area of the sector
Answer:
½pi or 0.5pi units²
Step-by-step explanation:
Area : angle
9pi : 2pi
x : pi/9
9pi/2pi = x/(pi/9)
4.5 × pi/9 = x
x = ½pi or 0.5pi units²
A spherical water tank has a diameter of 14.5 feet.
How much water can the tank hold?
Use 3.14 for π.
Question 5 options:
1595.45 ft3
12,763.6 ft3
389.86 ft3
90.06 ft3
Answer:
1595.45 ft3
Step-by-step explanation:
The formula is (4/3) *3.14*r^3
since the diameter is 14.5, the radius is 7.25
(4/3) *3.14*(7.25^3)
Answer: 1595
Step-by-step explanation:
The volume formula uses the radius of the sphere not the diameter.
If the vertex of a parabola is (-9,1), what is the axis of symmetry?
Answer:
The axis of symmetry is -9
Step-by-step explanation: The AOS will always be the x value of your vertex.
364.9 is 10% of what number?
Answer:
3649
Step-by-step explanation:
x * 0.1 = 364.9
x = 364.9 / 0.1 = 364.9 * 10
x = 3649