Answer:
heterogeneous is the answer
The Volume of a sphare is 28/3 times the surface area calculate The surface area and the Volume of the sphere, correct to the nearest whole number.
Given:
Volume of a sphere is [tex]\dfrac{28}{3}[/tex] times the surface area.
To find:
The surface area and the volume of the sphere.
Solution:
Volume of a sphere:
[tex]V=\dfrac{4}{3}\pi r^3[/tex] ...(i)
Surface area of a sphere:
[tex]A=4\pi r^2[/tex] ...(ii)
Where, r is the radius of the sphere.
Volume of a sphere is [tex]\dfrac{28}{3}[/tex] times the surface area.
[tex]V=\dfrac{28}{3}\times A[/tex]
[tex]\dfrac{4}{3}\pi r^3=\dfrac{28}{3}\times 4\pi r^2[/tex]
Multiply both sides by 3.
[tex]4\pi r^3=112\pi r^2[/tex]
[tex]\dfrac{\pi r^3}{\pi r^2}=\dfrac{112}{4}[/tex]
[tex]r=28[/tex]
Using (i), the volume of the sphere is:
[tex]V=\dfrac{4}{3}\times \dfrac{22}{7}\times (28)^3[/tex]
[tex]V\approx 91989[/tex]
Using (ii), the surface area of the sphere is:
[tex]A=4\times \dfrac{22}{7}\times (28)^2[/tex]
[tex]A=9856[/tex]
Therefore, the surface area of the sphere is 9856 sq. units and the volume of the sphere is 91989 cubic units.
what is the area of the figure below?
Answer:
15x^9
Step-by-step explanation:
A=l x w
5x^4 times 3x^5 is basically 3*5*x^4*x^5
when you multiply exponents with the same base, you add the exponents, so it becomes 15x^9
help please for functions
Answer:
A
Step-by-step explanation:
The domain of a graph is the set of number you can input for x that will give you a y value. From the looks of it, this graph has all x-values larger than zero.
We know it is not b since we see x-values of the graph go past x=10.
We know it is not c because there are no negative x-values.
We know it is not D because there are no negative x-values. Real number include negative numbers.
Is the answer option c?
Answer:
No it isnt corret answer.
Answer: Choice D
Explanation:
Recall that the quadrants are labeled such that Q1 (shorthand for quadrant 1) is in the upper right corner. Then we have Q2 in the upper left corner. We work counterclockwise around as shown in the diagram below.
Therefore, the curve is found in Q1 and Q3
The diameter of a cylindrical construction pipe is 4ft. If the pipe is 22ft long, what is its volume?
Use the value 3.14 for pi
Answer:
V = 276.32 ft^3
Step-by-step explanation:
Volume of a cylinder is
V = pi r^2 h
The diameter is 4 so the radius is d/2 = 4/2 = 2
V = (3.14) ( 2)^2 * 22
V = 276.32 ft^3
Explain the relationship between an inda vidual and a society
Answer:
The relation between individual and society is very close. Essentially, “society” is the regularities, customs and ground rules of antihuman behavior. ... Man is biologically and psychologically equipped to live in groups, in society. Society has become an essential condition for human life to arise and to continue.
help please ITS OF TRIGONOMETRY
PROVE
Answer:
The equation is true.
Step-by-step explanation:
In order to solve this problem, one must envision a right triangle. A diagram used to represent the imagined right triangle is included at the bottom of this explanation. Please note that each side is named with respect to the angle is it across from.
Right angle trigonometry is composed of a sequence of ratios that relate the sides and angles of a right triangle. These ratios are as follows,
[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]
One is given the following equation,
[tex]\frac{sin(A)+sin(B)}{cos(A) +cos(B)}+\frac{cos(A)-cos(B)}{sin(A)-sin(B)}=0[/tex]
As per the attached reference image, one can state the following, using the right angle trigonometric ratios,
[tex]sin(A)=\frac{a}{c}\\\\sin(B)=\frac{b}{c}\\\\cos(A)=\frac{b}{c}\\\\cos(B)=\frac{a}{c}[/tex]
Substitute these values into the given equation. Then simplify the equation to prove the idenity,
[tex]\frac{sin(A)+sin(B)}{cos(A) +cos(B)}+\frac{cos(A)-cos(B)}{sin(A)-sin(B)}=0[/tex]
[tex]\frac{\frac{a}{c}+\frac{b}{c}}{\frac{b}{c}+\frac{a}{c}}+\frac{\frac{b}{c}-\frac{a}{c}}{\frac{a}{c}-\frac{b}{c}}=0[/tex]
[tex]\frac{\frac{a+b}{c}}{\frac{a+b}{c}}+\frac{\frac{b-a}{c}}{\frac{a-b}{c}}[/tex]
Remember, any number over itself equals one, this holds true even for fractions with fractions in the numerator (value on top of the fraction bar) and denominator (value under the fraction bar).
[tex]\frac{\frac{a+b}{c}}{\frac{a+b}{c}}+\frac{\frac{b-a}{c}}{\frac{a-b}{c}}[/tex]
[tex]\frac{\frac{a+b}{c}}{\frac{a+b}{c}}+\frac{\frac{-(a-b)}{c}}{\frac{a-b}{c}}[/tex]
[tex]1+(-1)=0[/tex]
[tex]1-1=0[/tex]
[tex]0=0[/tex]
The value of w???????
Answer:
Step-by-step explanation:
The angle bisector of a triangle divides the opposite side in 2 segments that are proportional to the other 2 sides of the triangle. Namely:
[tex]\frac{15}{18}=\frac{w}{30}[/tex] and cross multiply.
18w = 450 so
w = 25
Match the two numbers with their least common multiple (LCM).
Answer:
Step-by-step explanation:
6 and 4 : LCM is 12
6 and 8: LCM is 24
6 and 10 LCM is 30.
BRAINLEST IF CORRECT!!!!
x + 133 = 180
x = 180 - 133 (Linear Pair)
x = 47
Therefore x° = 47°
Answered by Gauthmath must click thanks and mark brainliest
Answer:
47
Step-by-step explanation:
reason: Being sum of supplement angle
18. DEFG is a rectangle. Find the
length of each side.
Answer:
DE=27
EF=13
DG=13
GF=27
Step-by-step explanation:
12x+3=5x+17
12x-5x=17-3
u'll get 14 then simply it by the numbe of X u'll get 2 then replace the X with the number
i’m using this app so much but i really do appreciate the help pleasee no wrong answers
Answer:
C is correct
Step-by-step explanation:
a is wrong because: 1*-1*-1*-1 =1
b) 1*1*1*1 =1
d) 1*-1*1*1 =1
only c 1*-1*-1*1 =-1 at the end of polynomial
how do i know when an equation has 1 solution
Answer:
you can plug it back into the original equation to see if it fits the solution. if not then you have another solution you need to solve for.
Answer:
if we're talking on linear equations, then the two equations would intersect at one point. or when you solve it, it'll be only 1 number that can fit that equation.
p.s.: sub to #gauthmath# sub reddit if ya can ^^
what must be subtracted from 61 to get 5
Answer: 56
Step-by-step explanation:
Let x be the number that is supposed to be subtracted from 61.
Given
61 - x = 5
Add both sides by x
61 - x + x = 5 + x
61 = 5 + x
Subtract 5 on both sides
61 - 5 = 5 + x - 5
x = 56
Hope this helps!! :)
Please let me know if you have any questions
In one college, 67 students made the dean's list. If this was 33.5% of the student body, what was the total number of students in the college?
Answer:
Total number of students in the college = 200 student
Step-by-step explanation:
Given:
Number of student make dean's list = 67 student
Percentage of student make dean's list = 33.5% of all student
Find:
Total number of students in the college
Computation:
Total number of students in the college = Number of student make dean's list / Percentage of student make dean's list
Total number of students in the college = 67 / 33.5%
Total number of students in the college = 67 / 0.335
Total number of students in the college = 200 student
find a volume of a cube whose base radius is 5 cm and height 28 cm
Answer:
The volume of the cube is 21952.
Step-by-step explanation:
V = L x W x H
because a cube's sides are all the same, the length, width, and height are also the same. So we use the formula:
V= S^3
(S standing for side)
we know the height is 28 and as all sides measure the same we use the equation:
V= 28^3
28^3 = 21952
So, V= 21952
the area of a square table is 225/81 square meters. find the length of a side of the table
9514 1404 393
Answer:
5/3 meters
Step-by-step explanation:
The area is the square of the side length, so the side length is the square root of the area.
s = √(225/81) = 15/9 = 5/3 . . . meters
The length of a side of the table is 5/3 meters.
Help please please help me please
Answer:
[tex]\sqrt[2]{8}[/tex]
Step-by-step explanation:
Remember the basic format of a fraction raised to a fractional exponent:
[tex]a^\frac{b}{c}=\sqrt[b]{a^c}[/tex]
Some terms to keep in mind are the following:
(a) is the base
(c) is the exponent
(b) is the index
Apply this information to the given problem:
[tex]2^\frac{3}{2}[/tex]
In this case, (2) is the base, and the index; (3) is the exponent. Apply the general format of the fraction exponent to change the expression from an exponent to a radical.
[tex]2^\frac{3}{2}=\sqrt[2]{2^3}[/tex]
Simplify the term under the radical:
[tex]\sqrt[2]{2^3}=\sqrt[2]{8}[/tex]
Rewrite this equation in the form y = ax + b.
2y = 4x - 8
Enter the correct answer.
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DONE
Clear all
ĐOO
?
Answer:
y = 2x -4
Step-by-step explanation:
2y = 4x - 8
Divide each side by 2
2y/2 = 4x/2 - 8/2
y = 2x -4
Horace is running a race. He wonders how fast he is running.
Which unit rates would be reasonable for Horace to use to describe how fast he is running?
Select each correct answer.
a miles per hour
b millimeters per minute
c kilometers per hour
d inches per hour
Answer:
C. Kiometers per hour. I think
Convert the credit card rate to the APR. Ohio, 0.02192% daily rate. Please round your answer to the nearest percent. (zero decimal place.) Enter only the number without $ sign.
Answer:
8%
Step-by-step explanation:
APR means annual percentage rate.
To convert the daily rate to an APR, multiply the daily rate by the number of days in a year
365 days = 1 year
0.02192% x 365 = 8.0008%
To round off to the nearest percent, look at the first number after the decimal, if it is less than 5, add zero to the units term, If it is equal or greater than 5, add 1 to the units term.
The tenth digit is 0, so the number would be rounded off to 8%
Example 2 Determine the sum of the first 100 terms for the series 2+5+ 8 + ...
Answer:
15050
Step-by-step explanation:
Hello!
So basically, this arithmetic sequence follows the rule (3n-1). What you are looking for is the summation of (3n-1) with a lower limit of 1 and an upper limit of 100. This, plugging it into a calculator (etc. symbolab) or even calculating it manually, we get ∑↑100↓n=1⇒3n-1=15050.
Answer:
S₁₀₀ = 15050
Step-by-step explanation:
There is a common difference between consecutive terms
5 - 2 = 8 - 5 = 3
This indicates the sequence is arithmetic with sum to n terms
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = 2 and d = 3 , then
S₁₀₀ = [tex]\frac{100}{2}[/tex] [ (2 × 2) + (99 × 3) ]
= 50 (4 + 297)
= 50 × 301
= 15050
Name three collinear points.
Answer: l,j,k
Step-by-step explanation:
Jackie is 8 years younger than her neighbor, Paula. The sum of their ages is 30. How old are Jackie and Paula?
Answer:
Jackie: 11
Paula: 19
Step-by-step explanation:
11+19 = 30
17. Find an equation of the straight line that is perpendicular to x - y = 5 and passes through the point (8, -1).
18. Find the equation of the line in slope-intercept form that passes through the points (12, 4) and (4, 6)
Answer:
17.y=-x+12
18.y=-1/4x+7
Step-by-step explanation:
17.a Solve for y (y=-5+x)
17. b Reciprocal (y=-1x-5)
17. c Subsitute equation into (8,-1) (-1=-13=y=x+12)
18.a Subtract y values and x values= (6-4)/(4-12)=2/-8=-1/4, this will be your slope
18. b Plug in -1/4 into either of the two ordered pairs to find y value=(12,4)=(4=-3)=y value=7.
18. c=y=-1/4x+7
Last year 160 new candidates submitted applications to work for an agency. This year, that number is on target to increase by 25%. There are 6 months left in the year. How many new applications has the agency received so far this year?
Answer:100
Step-by-step explanation:
Given
Last year 160 new candidates submitted to work for agency
It is expected to increase by 25% that is , increase in one year should be
[tex]\Rightarrow 160+160\times 25\%\\\Rightarrow 160(1+0.25)\\\Rightarrow 160\times 1.25\\\Rightarrow 200[/tex]
200 application in the upcoming year. So, in 6 months, agency must have accepted 100 applications.
Find the value of a. A. 57 B. 104 C. 26 D. 52
Answer:
Option D, 52
Answered by GAUTHMATH
A 20kg patient requires a 500 mg dose of a particular drug solution contains 100 mg/tsp. How many milliliters of the solution should be given to the patient to deliver the required dose?
Answer:
The answer is "25 ml".
Step-by-step explanation:
Dose[tex]= 500 \ mg\\\\[/tex]
Solution [tex]= 100\ \frac{mg}{teaspoonful}\\\\[/tex]
Calculating the Conversions:
Teaspoonful [tex]= 5 \ ml \ \text{(Ounce = 30 ml = 6 Tablespoonsful)}[/tex]
[tex]\therefore\\\\Solution = \frac{100\ mg}{ 5\ ml} = 20\ \frac{mg}{ml}\\\\Dose \ volume = \frac{500\ mg}{ 20\ \frac{mg}{ml}} = 25\ ml[/tex]
Nissa is going to plant 485trees this year. If Nissa plants 5 orchards of trees, how many trees will be in each orchard?
Answer:
"97" is the appropriate answer.
Step-by-step explanation:
Given:
Number of trees,
= 485
Orchards of trees,
= 5
The number of trees in each orchard will be:
= [tex]\frac{Number \ of \ trees}{Orchards \ of \ trees}[/tex]
= [tex]\frac{485}{5}[/tex]
= [tex]97[/tex]
Mark made a sandwich that was 5 inches long and 7 inches high. If he cuts
the sandwich in half, what would be the diagonal length of the sandwich?
Explanation
a sanwich which is most commonly a square, has the side lengths of 5 and 5.
cuting this in half will give you a 45-45-90 triangle
the legs will be measure of x, and the hypotonuse will be x[tex]\sqrt{2}[/tex]
so the hypotonuse is 5[tex]\sqrt{2}[/tex]
The diagonal length of the sandwich after it is cut in half is approximately 6.106 inches.
How to calculate the lengthUsing the Pythagorean theorem, we can calculate the diagonal length as follows:
diagonal² = length² + height²
diagonal² = (5 inches)² + (3.5 inches)²
diagonal² = 37.25 inches²
Taking the square root of both sides, we find:
diagonal = √37.25 inches
Calculating the square root of 37.25, we get:
diagonal ≈ 6.106 inches
Therefore, the diagonal length of the sandwich after it is cut in half is approximately 6.106 inches.
Learn more about length
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