Answer:
Below
Step-by-step explanation:
To find the volume of a sphere you can use this formula!
V = 4/3πr^3
Plugging in the values....
V = 4/3π(49.5)^3
V = 5.08047 × 10^5
V = 5.1 x 10^5 in^3
If you wanted to write this is standard form it would be
V = 508047 in^3
Hope this helps!
Find the area of the triangle ABC given A = 30°, b = 5, and c = 2 [tex]\frac{1}{2}[/tex]
[tex]\frac{1}{2}[/tex]
3[tex]\frac{1}{8}[/tex]
4[tex]\frac{1}{8}[/tex]
12[tex]\frac{1}{2}[/tex]
Answer:
a=6.25 unit^2
Step-by-step explanation:
Given:
A=30°
b=5
c=2½
Required:
a=?
Formula:
a=½b*h
Solution:
a=½b*h
=½5*2½
=½*5*5/2
=0.2*5*5/2
=2.5*5/2
=2.5*2.5
=6.25 unit^2
Hope this helps ;) ❤❤❤
Answer:
The answer is B or 3 1/8
Step-by-step explanation:
I need help and fast!!!!
Answer:
H. b/a
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Step 1: Label our variables
y₂ = 2b
y₁ = b
x₂ = 2a
x₁ = a
Step 2: Plug into formula
m = (2b - b)/(2a - a)
Step 3: Evaluate
m = b/a
Answer:
b/a
Step-by-step explanation:
We have two points so we can use the slope formula
m = (y2-y1)/(x2-x1)
= ( 2b - b)/ ( 2a -a)
= b/a
The length of a room is two times its breadth and three times its height . if the cost of white wash on the 4 wall at Rs. 50 per m² is Rs. 7200, find the cost of carpeting its floor at Rs. 325 per m²
Answer:
Step-by-step explanation:
let the height of the room(h) = x
Length(l) = 3*x = 3x
length = 2 * breadth
breadth(b) = length /2 = 3x/2
Cost of whitewashing the 4 walls = ₹ 7200
Area of 4 walls = 7200 ÷ 50 = 144 m² ------(I)
Area of walls = 2lh + 2bh
= 2*3x*x + 2 *[tex]\frac{3x}{2}[/tex] * x
= 6x² + 3x²
= 9x²
9x² = 144 {From (I)}
x² = 144/9
x² = 16
x = [tex]\sqrt{16}=\sqrt{4*4}[/tex]
x = 4 m
height = 4 m
length = 3*4 = 12m
Breadth = [tex]\frac{3}{2}*4=3*2=6 \ m[/tex]
Area of floor = l*b
= 12 * 6
= 72 m²
Cost of carpeting the floor = 72 * 325 = ₹ 23400
Look at the pattern below. step 1 with 1 square step 2 with 3 squares step 3 with 6 squares step 4 with 10 squares How many squares will be in the pattern in step 6
Answer:
21 squares
Step-by-step explanation:
Here in this question, we are given a pattern and we want to determine what the values in that pattern will be at a specific step.
We proceed as follows;
What we can see in this pattern is that the difference in number of squares between a pattern and the next pattern increases by the addition of the next integer to the number of squares we have in the last pattern.
Thus for step 5, we shall be adding the next integer( 5) to the number of squares ;
That would be 10 + 5 = 15 squares
For step 6, we shall be adding the next integer (6) to the number of squares in step 5.
That would be 15 + 6 = 21 squares
How we got the initial next integer?
step 1 = 1 square
step 2 = 3 squares ( integer difference of 2)
step 3 = 6 squares ( integer difference of 3)
step 4 = 10 squares ( integer difference of 4)
so;
step 5 = 15 squares ( integer difference of 5)
step 6 = 21 squares( integer difference of 6)
find all the missing elements. A=109 C=13 b=6 B=? a=? c=?
Answer:
B = 58°a = 6.6896c = 1.5915Step-by-step explanation:
Given two angles and the side between them, the first step must be to find the value of the third angle, the one opposite the given side. It will be ...
B = 180° -A -C = 180° -109° -13° = 58°
Using this information and the Law of Sines, you can find the remaining sides.
a/sin(A) = b/sin(B) = c/sin(C)
__
Then the missing sides are ...
a = b(sin(A)/sin(B)) = 6(sin(109°)/sin(58°)) ≈ 6.6896
c = b(sin(C)/sin(B)) = 6(sin(13°)/sin(58°)) ≈ 1.5915
The missing measures are ...
B = 58°
a = 6.6896
c = 1.5915
Answer: make sure to round !!B = 58°
a = 6.7
c = 1.6
Step-by-step explanation:
What is the equation for a circle centered at the origin (0,0)?
a) r sqt = x sqt + y sqt
b) r sqt =(/x+y) sqt
c) r= /x+y
d) r=x+y
Answer:
[tex]{ \sf{ \sqrt{r} = \sqrt{(x {}^{2} + {y}^{2} ) } }}[/tex]
Step-by-step explanation:
General equation:
[tex]{ \bf{ {x}^{2} + {y}^{2} + 2ax + 2by + c = 0}} \\ [/tex]
but a and b are 0:
[tex]{ \bf{ {x}^{2} + {y}^{2} = {r}^{2} }} \\ { \bf{ \sqrt{ {x}^{2} + {y}^{2} } = \sqrt{r} }}[/tex]
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Which of the following statements is incorrect about the data set that includes 1,2,3,4,5,6,7?
A. The data set has no mode
B. The data set has a second quartile of 6
C. The data set has the same mean and median
D. The data set has an interquartile range of 4
Answer:
b or d
Step-by-step explanation:
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Answer:
A
Step-by-step explanation:
A mode is the value that appears most frequently in the data set because there is not more than one of any number the data set has no mode.
Determine the equation of the inverse of y = 1/4 x^3 - 2
All of 4x+8 is under a cube root sign.
=====================================================
Work Shown:
To find the inverse, we swap x and y, then solve for y.
[tex]y = \frac{1}{4}x^3 - 2\\\\x = \frac{1}{4}y^3 - 2\\\\x+2 = \frac{1}{4}y^3\\\\4(x+2) = y^3\\\\4x+8 = y^3\\\\y^3 = 4x+8\\\\y = \sqrt[3]{4x+8}\\\\[/tex]
------------
Side note:
If [tex]f(x) = \frac{1}{4}x^3 - 2[/tex] and [tex]g(x) = \sqrt[3]{4x+8}[/tex], then [tex]f(g(x)) = x[/tex] and [tex]g(f(x)) = x[/tex]for all x values in the domain. Effectively, you use function composition to confirm that we have the correct inverse equation.
Please answer this question now
Answer:
298.3 square centimeters
Step-by-step explanation:
We are given
Slant height (l)= 14cm
Radius (r)= 5cm
Since we are given the slant height ,
the formula for surface area of a cone =
πrl + πr²
πr(l + r)
π = 3.14
Hence,
3.14 × 5(14 + 5)
3.14 × 5(19)
= 298.3 square centimeters
A man drove 16 mi directly east from his home, made a left turn at an intersection, and then traveled 2 mi north to his place of work. If a road was made directly from his home to his place of work, what would its distance be to the nearest tenth of a mile?
Answer:
16. 1 miles
Step-by-step explanation:
Using Pythagorean Theorem,
a^2 + b^2 = c^2
Since the road that goes from his home to work directly is c^2...
Plug in the rest of the numbers
16^2 + 2^2 = c^2
256 + 4 = c^2
260 = c^2
The reverse square of 260 is
16. 1 miles
What is the reason: if a+c=b+c then a=b
Step-by-step explanation:
Example 1:
a+c=b+c then a=b
First let the value of a and b be different (not equal)
a=5
b=7
c=10
a+c=b+c
5+10=7+10
15≠17
Example 2:
Let the value a and b be equal (the same)
a=5
b=5
c=10
a+c=b+c
5+10=5+10
15=15
So when,
a+c and b+c is equal, a and b are always equal.
Hope this helps ;) ❤❤❤
Answer:
a=b
Step-by-step explanation:
Reason:
a+c=b+c
a-b=c-c
c-c would be 0
if a-b=c-c=0
a-b=0
Only if a=b can a-b=0
You can also take it as:
b-a=c-c (a+c=b+c)
b-a=0=c-c
Therefore b=a
By the way even I am a BTS army
i need help asap im timed
Answer:-
Refer to attachment for the required solution.
Answer:
Step-by-step explanation:
Suppose 100 users of a social networking site are chosen for a sample, but
only 25 respond. What is this an example of?
A. Response bias
B. Nonselection bias
O C. Selection bias
D. Nonresponse bias
Answer:
i think its d
Step-by-step explanation:
Answer: C
Step-by-step explanation:
A bookstore is selling books for $10 each. Which graph shows the relationship between the number of books, x, the store sold and the total amount of money, y, paid from the book sales?
Answer:
Graph B
Explanation:
What is the answer for 3x+2(4x-4)=3?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{x = 1}}}}[/tex]Step-by-step explanation:
[tex] \sf{3x + 2(4x - 4) = 3}[/tex]
Distribute 2 through the parentheses
⇒[tex] \sf{3x + 8x - 8 = 3}[/tex]
Collect like terms
⇒[tex] \sf{11x - 8 = 3}[/tex]
Move 8 to right hand side and change it's sign
⇒[tex] \sf{11x = 3 + 8}[/tex]
Add the numbers
⇒[tex] \sf{11x = 11}[/tex]
Divide both sides of the equation by 11
⇒[tex] \sf{ \frac{11x}{11} = \frac{11}{11} }[/tex]
Calculate
⇒[tex] \sf{x = 1}[/tex]
Hope I helped!
Best regards!
Answer:
x=7/20
Step-by-step explanation:
you have to multiple the outside factor by number which are inside of parenthesis but the signs should be same
3x(4×)=12x
3x(4)=12
2(4x)=8x
2(4)=8
write it as an equation and find the like terms
12x-12+8x-8=3
20x-4=3
Then add 4 and divided
20x-4=3
+4 +4
20x/20=7/20
the is a fraction
x=7/20
Please help this is really important
Geometry, please answer question ASAP
Answer:
D
Step-by-step explanation:
Cos(D) = adjacent / hypotenuse
The adjacent side is the one making up angle D
adjacent side = f
hypotenuse = e
Cos(D) = f/e
D = cos-1(f/e)
A triangle has sides of lengths 16, 63, and 65. Is it a right triangle? Explain.
Answer:
Yes
Step-by-step explanation:
If a triangle is a right triangle, the 3 side lengths will check out in the Pythagorean Theorem.
[tex]a^2+b^2=c^2[/tex]
where a and b are the legs and c is the hypotenuse.
The legs are the 2 shorter lengths and the hypotenuse is the longest length. The 3 side lengths are: 16,63 and 65. Therefore, 16 and 63 are the legs and 65 is the hypotenuse.
a=16
b=63
c=65
[tex]16^2+63^2=65^2[/tex]
Evaluate each exponent.
16^2=16*16=256
[tex]256+63^3=65^2[/tex]
63^2=63*63=3969
[tex]256+3969=65^2[/tex]
65^2=65*65=4225
[tex]256+3969= 4225[/tex]
Add 256 and 3969
[tex]4225=4225[/tex]
The statement above is true; 4225 is equal to 4225. Therefore, this is a right triangle because the side lengths check out when plugged into the Pythagorean Theorem.
a golf course is trying to determine par for a particular hole. calculate the value they should put on the sign where people tee off so they know what par is for this hole.
The value they should put on the sign where people tee off so they know
what par is for the hole is six (6)
The reasoning through which the correct answer is arrived at is presented here given table of values which is presented as follows;
[tex]\left[\begin{array}{ccc}Golf \ Strokes \ (x)&Frequency \ (f) & f \times x\\2&16& 32\\3&21&63\\4&23&92\\5&20&100\\6&54&324\\7&40&280\\8&23&184\\9&16&144\\\sum&213&1,219\end{array}\right][/tex]
The mean number of golf strokes for the hole is ∑(f·x)/∑f
The calculation for f × x on the table includes;
∑(f·x) = (2×16 + 3×21 + 4×23 + 5×20 + 6×54 + 7×40 + 8×23 + 9×16) = 1219
∑f = 16 + 21 + 23 + 20 + 54 + 40 + 23 + 16 = 213
∴ ∑(f·x)/∑f = 1,219/213 = 5.72 ≈ 6
The mean number of golf strokes expected is approximately 6 strokes
The value they should put on the sign where people tee off so they know what par is for the hole is 6
Which formula would you use to calculate the total enclosed space of Firm 1’s structure. Explain your choice.
What is the total enclosed space of Firm 1’s structure
Answer:
Total enclosed space = 6597.35 ft³
Step-by-step explanation:
Firm 1's structure is in the form of a cylinder, so the formula to get the enclosed space or volume of the cylinder will be,
Volume = πr²h
where r = radius of the structure
h = height of the Firm
By substituting the values of 'r' and 'h' in the given formula,
V = [tex]\pi (\frac{70}{2})^{2}(60)[/tex]
= [tex]\pi (35)\times 60[/tex]
= 6597.345
≈ 6597.35 cubic feet
Total enclosed space of Firm 1 is 6597.35 cubic feet.
Answer:
pi*r sqrq
Step-by-step explanation:
bc its a cirlce
total SA=10445.8 units sqrt
ur welcome
given m||n, find the value of x
Answer:
17 =x
Step-by-step explanation:
These are alternate interior angles and alternate interior angles are equal when the lines are parallel
9x+7 = 10x-10
Subtract 9x from each side
9x+7-9x = 10x-10-9x
7 = x-10
Add 10 to each side
7+10 =x-10+10
17 =x
there are two pots of milk containing 20 liters and 24 liters respectively .find the capacity of the largest container that can measure exactly milk both the cans
Answer:
A can with capacity 44 litres
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
8 to the power of 6 divided by 8 to the power of 2
PLZ HELP ASAP WILL MARK BRAINLIEST
Answer:
4096
Step-by-step explanation:
8^6÷8^2
First step is to solve the exponents
8 to the power of 6 is 262144
8 to the power of 2 is 64
Then divide 262144 by 64 : 4096
Answer:
it is a law of axponent that is a to the power m divided by a to the power n = a to the power m-n
so 8 to the power 6-2
= 8 to the power 4
that will be 4,096
please please help thank you so much
What is the slope of the line below?
y=2/3 X - 3
Answer:
2/3
Step-by-step explanation:
Hey there!
Well in the equation,
y = 2/3x - 3
the slope is 2/3 because the equation shows 2/3x and wherever the x is in slope intercept that the slope.
Hope this helps :)
I am thinking of 3 consecutive numbers. The first is a multiple of 4, the second is a multiple of 5 and the third is a multiple of 6." What could the numbers be? Can you find 3 possible sets of numbers
Answer:
{4, 5, 6}, {64, 65, 66}, {124, 125, 126}
Step-by-step explanation:
x = 1st number
x + 1 = 2nd number
x + 2 = 3rd number
{4, 5, 6}, {64, 65, 66}, {124, 125, 126}
The possible set of numbers are {4,5,6}, {64,65,66} and {124,125,126}
What are consecutive number?Consecutive numbers are the numbers which follow each other in order from small to greater number.
Let three consecutive numbers are, x ,x+1 and x+2.
According to given condition,
The first number is a multiple of 4,
The second number is a multiple of 5,
And The second number is a multiple of 6.
Start from 4 and then try to find out sequence,
The numbers can be 4, 5 and 6.
Further, the number can be 64,65 and66
And The numbers can be 124,125 and 126
So, three sets of numbers are {4,5,6}, {64,65,66} and {124,125,126}
To know more about Consecutive number on:
https://brainly.com/question/2493629
#SPJ5
help ASAP!!!
bensnsnana
Answer:
c
Step-by-step explanation:
plug in 6 or -6 into x. square it. get 36 -11 =25
Answer:
c/d(most likely d)
Step explanation:
f(x)=x^2-11
For f(x) to be <25 x^2-11 must be x^2-11 < 25
Number just greater than 25 is 26 so x^2-11<25
x^2-11<25
x^2<36
x<√36
Therefore, for x^2-11<25 x must be between +6 & -6
Therefore option c is correct but the signs are mistake so it's either d or c.(most likely d)
Please help explanation if possible
Step-by-step explanation:
if we multiply gradient of the perpendicular line we are suppose to get -1the gradient of y=-x-2 is -1(gradient is the coefficient of x)therefore the gradient of other line is 1y =mx+c10=-5 +cc=15therefor the equation of the line is y=x+15what is the probability notation for the probability for choosing a green marble?
The probability notation for the probability for choosing a green marble is [tex]P(G)=\frac{n(G)}{n(T)}[/tex], where [tex]n(G)[/tex] denotes the number of green marbles and [tex]n(T)[/tex] denotes the number of total marbles in the bag (or from wherever we are choosing).
The probability of occurrence of an event is the ratio of the number of favorable outcomes and the total number of outcomes, where the favorable outcomes are the outcomes that implies the occurrence of the event.
Here, the event is "choosing a green marble". So, the number of green marbles in the bag is the number of favorable outcomes and the total number of marbles in the bag is the total number of outcomes.
Denoting [tex]G[/tex] as the event of "choosing a green marble", the notation [tex]P(G)[/tex] denotes the probability of event [tex]G[/tex], that is, probability of choosing a green marble.
Denoting [tex]n(G)[/tex] and [tex]n(T)[/tex] as the number of green marbles and total number of marbles respectively, by the definition, the probability notation for the probability for choosing a green marble is given as [tex]P(G)=\frac{n(G)}{n(T)}[/tex].
Learn more about probability notation here:
https://brainly.com/question/22159331
1. What will be the sale price of the tennis racquet once the discount has been applied?
2. What is 25% of $12?
3. Which answer shows the discounted sale price for this tablet?
Answer:
150 is the answer of your question. I HOPE IT WILL HELP YOU.
Answer:
1) $150
2) $3
3) $150
Step-by-step explanation:
1) 25% times $200=$150
2) 25% times $12= $3
3) Half of $300 is $150, which 50% off is half off.