Hey there! I'm happy to help!
To find the volume of a cone, we multiply the base by the height and then divide by three.
First, we find the area of the base, which is a circle. To find a circle, you square the radius and then multiply by pi (or 3.14 in our case).
Radius is half of the diameter.
3/2=1.5
We square this.
1.5²=2.25
We multiply by 3.14
2.25×3.14=7.065
Now, we multiply this base area by the height.
7.065×7=49.455
We divide by 3.
49.455/3=16.485
Therefore, if we round this, our answer is 16.49 in³.
Now you can find the volume of a cone! Have a wonderful day! :D
Answer:
16.49
Step-by-step explanation:
Matt is climbing a mountain when his elevation is higher than 1600 he has trouble breathing write an inequality that describes h the elevation at which breathing is difficult for Matt
Answer is [tex]h > 1600[/tex]
The convention is to write the variable first on the left side, then the inequality sign, followed by the other side of the inequality.
Writing [tex]h > 1600[/tex] means that h is larger than 1600. Think of an alligator mouth that is represented by the "greater than sign". The mouth opens up to the larger side. In this case, h could be something like 1700 which is larger than 1600. So we'd say [tex]1700 > 1600[/tex] for instance.
Solve for x. Write both solutions, separated by a
comma.
7x2 - 4x - 3=0
Answer:
x = - 3/7 or x = 1Step-by-step explanation:
7x² - 4x - 3 = 0
Rewrite - 4x as a difference
That's
7x² - 7x + 3x - 3 = 0
Factorize the expression
7x( x - 1) + 3 ( x - 1) = 0
(7x + 3)( x - 1 ) = 0
7x + 3 = 0 x - 1 = 0
7x = - 3 x = 1
x = -3/7
The solutions are
x = - 3/7 or x = 1
Hope this helps you
The mode of the numbers 1,1,3,3, 5, 6, 6, 6, 7, 8 is
Answer:
The mode of the above is 6.
Step-by-step explanation:
Mode-the number that occurs most frequently in a set of numbers.
The six appeared three times being the most.
I really hope this helps.
Help please!!!!!!!!!!
Answer:
H. 1/9.
Step-by-step explanation:
The area of a circle is calculated by solving for π[tex]r^2[/tex].
The smallest circle has an area of π[tex]1^2[/tex] = π * 1 = π.
The middle ring will then have an area of π[tex]2^2[/tex] - π = π * 4 - π = 4π - π = 3π.
The largest ring will then have an area of π[tex]3^{2}[/tex] - π[tex]2^{2}[/tex] = 9π - 4π = 5π.
5π + 3π + π = 9π
So, the probability of hitting the innermost circle will be π / 9π = 1 / 9.
Your answer is H. 1/9.
Hope this helps!
Donut Haven fries donuts in batches of $20$, but sells them in boxes of $13$. If Donut Haven fries just enough batches of $20$ to pack $44$ full boxes of $13$ donuts, how many donuts will be left over?
Answer:
The number of doughnuts left over are 8 doughnuts
Step-by-step explanation:
The information given are;
The number of doughnuts fried per batch = 20 doughnuts
The number of doughnuts contained in a pack = 13 doughnuts
The number of doughnut batches just fried = 20 batches
The number of packs filled = 44 packs
The number of packs filled with the fried = 44 packs
The number of doughnuts per pack = 13 doughnuts
The number of doughnuts in the pack = The number of packs filled with the fried × The number of doughnuts per pack
The number of doughnuts in the pack = 44 × 13 = 572 doughnuts
Given that the number of batches of doughnuts fried = X batches and the amount of left over = Y doughnuts, where each batch contains 20 doughnuts, we have;
Number of doughnuts fried = Number of batches of doughnuts fried × Number of doughnuts per batch
Number of doughnuts fried = X × 20 =20×X doughnuts
Therefore we have;
Number of doughnuts fried = The number of doughnuts in the pack + The number of doughnuts left over
Which gives;
20×X = 572 + Y where Y < 20
Checking we have multiples of 20 are 560, 580
Given that 520 is the next multiple of 20 after 572, we have;
The number of doughnuts fried = 580 and the number of left over = 580 - 572 = 8 doughnuts.
HELP ME PLZ! I will not accept non sense answers. BRAINLIEST will be given to the person who gets it correct with full solutions.
[tex]A = 1500(1.00167)^{12t}[/tex]
=================================
Explanation:
You could use the formula
[tex]A = P(1+\frac{r}{n})^{nt}[/tex]
to plug in P = 1500, r = 0.02 and n = 12 to get the answer above. This is the compound interest formula. The interest rate r is divided into n = 12 to account for monthly compounding. The original exponent t turns into 12t. So for instance, if t = 2 years go by, then 12*t = 12*2 = 24 months have gone by.
Solve the equation below for the variable (x):
2y + x = 10 + 2 x
A. x = 8y
B. x = 10 - 2y
C. x = 2y - 10
D. x = -8y
Answer:
Hope this helps. If not let me know and I'll explain it better
How many different committees of 4 people can be chosen from a group of 21?
Answer:
There are 21 ways to choose the first person, 20 ways to choose the second, 19 ways for the third and 18 ways for the fourth so the answer is 21 * 20 * 19 * 18 = 143640.
Two forces with magnitudes of 100 and 50 pounds act on an object at angles of 50° and 160°, respectively. Find the direction and magnitude of the resultant force. Round to two decimal places in all intermediate steps and in your final answer.
Answer:
Magnitude = 95.29 pounds
Direction = 79.54 degrees
Step-by-step explanation:
Resolve forces into x and y components.
x-component
= 100 cos(50) + 50 cos(160)
= 64.28-46.98
= 17.29
y-component
= 100 sin(50) + 50 sin(160)
= 76.60 + 17.10
= 93.71
Magnitude
= sqrt(x^2+y^2)
= sqrt(17.29^2+93.71^2)
= 95.29
Angle = arctangent(93.71/17.29) = 79.54 degrees
blme branly for nt alloing peole to coment n stuf for m taing u a qestion but the anser above is inorrect, and bainly befre deletng ths maye you will cosider openig cat again, so I on't nee to do tis? and mae ure to deete the queston abve wile at it.
30 POINTS!! Write the slope-intercept form of the equation for the line.
Answer:
B. [tex]y = -\frac{3}{10}x + \frac{1}{2}[/tex]
Step-by-step explanation:
Well slope-intercept form is [tex]y = ax + b[/tex].
Let's start with the slope.
In this case, finding the slope is easy.
It should have a negative slope.
So we can cross out answer choices A. and C.
Also, we can cross out D. because it just makes no sense, -10/3, if you start from the y-intercept and go down 10 and across 3, yeah that's
not the slope.
So we can cross out D.
The only answer choice left is B.
We can tell the y-intercept is 1/2 because like come on so B is the correct answer.
B. [tex]y = -\frac{3}{10}x + \frac{1}{2}[/tex]
Looking at the graph, we can figure out our y-intercept or b simply by looking at the line to see where it intersects the y-axis.
So, we can see that the line intersects the y-axis at 1/2 or 0.5
That means, our y-intercept or b is 1/2 (0.5).
Now, to find out the slope of the line, we can pick two pairs of coordinates on the line and plug it into the slope equation to figure out the slope.
Let's use the two coordinate pairs: (-5, 2) and (0, 1/2).
Plug it in.
1/2 - 2 = - 1.5
0 - - 5 = 5
-1.5/5 = -0.3
Convert it into a fraction: -0.3 = -3/10
Thus, our slope intercept form for this line is: y = -3/10 + 1/2
A printer can print 12 pages in 9 seconds. What is the closest estimate of the number of pages it can print in one minute?
Answer:
80 pages
Step-by-step explanation:
Let's use a ratio to solve:
pages : seconds
12 : 9
4 : 3
[tex]p[/tex] : 60
It would seem that [tex]p[/tex] would equal 80. The printer can print 80 pages in 60 seconds or one minute.
Solve for p. Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions. -31p+79 > -59p+81
Answer:
The answer is
p > 1/14Step-by-step explanation:
-31p+79 > -59p+81
Group like terms
Send the constants to the right side of the expression and those with variables to the left side
That's
- 31p + 59p > 81 - 79
Simplify
We have
28p > 2
Divide both sides by 28
We have the final answer as
p > 1/14Hope this helps you
please i need help look at picture
Answer:
84
Step-by-step explanation:
Surface area is the combined area of the 2 dimensional planes.
6 × 5 + 3 × 4 × 1/2 × 2 + 6 × 3 + 4 × 6
30 + 12 + 18 + 24
= 84
The surface area is 84 square centimeters.
Please help meeee I need help finding x y and z :)
Answer:
Hey there!
We see that z is equal to 40, because angles in a triangle add to 180 degrees.
We see that x is equal to 70, because an isosceles triangle has two angles that are congruent to each other, and can be represented using the equation 2x+y=180.
We see that y is equal to 110, because x+y needs to equal 180.
Hope this helps :)
Answer:
∠x = 70º, ∠y = 110º, ∠z = 40º
Step-by-step explanation:
to find ∠z: 180 - (71 + 69) = 40º = ∠z
the smaller triangle is an isosceles triangle, therefore ∠x is equal to the angle on its left.
so 180 - ∠z = 2 x ∠x
180 - 40 = 140 / 2 = 70º = ∠x
the angle to the left of ∠x forms 180º with ∠y.
as that angle is 70º, ∠y = 180 - 70 = 110º
3( 2x + 1 ) = 15 you have to find x
Answer:
x = 2
Step-by-step explanation:
3(2x+1) = 15
6x +3 = 15
6x = 12
x - 2
please help me solve this' 2x − 4y = 6 2x + 4y = -10 (-1, -4). (-1, -2). (2, 4). (1, -2).
Answer:
(-1, -4)Step-by-step explanation:
2x − 4y = 6 ⇒ 2x = 4y + 6
2x = 4y + 6 and 2x + 4y = -10
so: 4y + 6 + 4y = -10
4y + 6 = -10
4y = -16
y = -4
2x = 4(-4) + 6 = -8 + 6 = -2
2x = -2 ⇒ x = -1
Find the missing side. Round your answer to the nearest tenth.
Answer:
44.8
Step-by-step explanation:
cos α = adjacent leg/hypotenuse
cos 48° = 30/x
x = 30/(cos 48°) = 44.8
Show that one zero of 8x230x27 is the square of the other.
Answer:
8x2-30x+27 has one root (9/4) the square of the other (3/2)
Step-by-step explanation:
8x2+30x+27 = (2*x+3)*(4*x+9) => solution = {-3/2, -4/9}
One is not the square of the other because squares are positive.
8x2-30x+27 = (2*x-3)*(4*x-9) =>
solution = {3/2, 4/9} since (4/9 = (3/2)^2, therefore the preceding question is correct.
A city has a population of 220,000 people. Suppose that each year the population grows by 7.25%. What will the population be after 13 years?
Answer: 546496.76
Step-by-step explanation:
Given the following :
Current population = 220,000
Population growth rate per year = 7.25%
Population size after 13 years =?
Using the compounding formula :
A = P(1 + r)^t
Where ;
A = final population size
P = current population size
r = growth rate
t = time or period
A = P(1 + r)^t
A = 220,000 ( 1 + 7.25/100)^13
A = 220,000 ( 1 + 0.0725)^13
A = 220,000 (1.0725)^13
A = 220,000(2.484076)
A = 546496.760
The population will be about 546,497 people
Can someone pls help me
Answer:
a. 12 / 50 = 0.24 or 24%; b. 21 / 50 = 0.42 or 42%
Step-by-step explanation:
1. to find the estimated probability that it will take at least 5 patients to find who it isn't effective on, count the outcomes of EEEE. this means that it was effective on 4 patients, therefore requiring a 5th patient to find the noneffective person.
a. 12 / 50 = 0.24 or 24%
2. to find the estimated probability that it will be effective on exactly 3/4, look for boxes with 3 E's and 1 N (in any order)
b. 21 / 50 = 0.42 or 42%
hope this helps :)
Answer two questions about Equations A and B: A. 5x-2+x=x-4 B. 5x+x=x-4 How can we get Equation B from Equation A?
Answer:
The answer is below
Step-by-step explanation:
To be able to get equation B from equation A, we have to compare equation A with equation B. Given that equation A. is 5x-2+x=x-4 and equation B is 5x+x=x-4.
Equation B: 5x+x=x-4.
Equation A: 5x-2+x=x-4.
Simplifying equation A to be in the form of equation B:
5x -2 + x = x - 4
Adding 2 to both sides:
5x + x -2 + 2 = x - 4 + 2
5x + x = x - 4 + (+2)
= equation A + 2
But 5x+x=x-4 = equation A
Therefore Equation B is the same as Equation A + 2
Answer:ADD/SUBTRACT A QUANTITY TO/FROM ONLY ONE SIDE
And part 2: is NO
To decrease a number by 40%, what do we multiply by???
Answer:
Step-by-step explanation:
to decrease a number by 40% i would do
100% = number you got
50% divide by 2
10%= dived 100% number by 10 then take the 10% away from the 50% to get 40%
then take the 40% away from the 100%
hope this helps :)
what is known as terms of ratio
Answer: The mathematics terms of ratio are the indicates many times one number contains to the another number.
Step-by-step explanation:Terms of ratio may be specified both constitution number or value to the equal correspond to the equal ratio.
"a to b"
"a:b"
There are Sixteen and eight apples and lemon in the table of fruit the ratio(that is 16:8 to the equivalent the ratio 8:4).
a:b=(a+b):a or ratio is equivalently a:b=(1+b/a):1.
The number in a terms ratio quantities of both numbers are to be positive
ASAP! I need help, and please do not send nonsense answers. BRAINLIEST will be given to the person who gets it correct with full solutions.
Answer:
C. all whole numbers
Step-by-step explanation:
Well Roberts can’t have a negative income and due to the number of violins being whole numbers, it is impossible to have 2.273 violins.
Hence, the annual income can only be whole numbers
Answer:
c
Step-by-step explanation:
Show that (a - b)+(b-c)+(c -a)3 = 3 (a - b) (b -c) (c-a)
Answer:
I think that it should be
[tex] {(a - b)}^{3} + {(b - c)}^{3} + {(c - a)}^{3} = 3(a - b)(b - c)(c - a)[/tex]
Step-by-step explanation:
Here,
we take , a - b = A,b-c = B , c - a= C
A+B+C = 0
we know that,
[tex] {a}^{3} + {b}^{3} + {c}^{3} - 3abc = (a + b + c)( {a}^{2} + {b}^{2} + {c}^{2} - ab - bc - ca)[/tex]
Here , A+B+C = 0
so,
A^3 +B^3 + C^3 = 3 ABC
now we put the values
[tex]{(a - b)}^{3} + {(b - c)}^{3} + {(c - a)}^{3} = 3(a - b)(b - c)(c - a)[/tex]
I am done .
I think that it should be
{(a - b)}^{3} + {(b - c)}^{3} + {(c - a)}^{3} = 3(a - b)(b - c)(c - a)
Step-by-step explanation:
Here,
we take , a - b = A,b-c = B , c - a= C
A+B+C = 0
we know that,
{a}^{3} + {b}^{3} + {c}^{3} - 3abc = (a + b + c)( {a}^{2} + {b}^{2} + {c}^{2} - ab - bc - ca)
Here , A+B+C = 0
so,
A^3 +B^3 + C^3 = 3 ABC
now we put the values
{(a - b)}^{3} + {(b - c)}^{3} + {(c - a)}^{3} = 3(a - b)(b - c)(c - a)
I am done .
Find the measure of the indicated angle to the nearest degree. Will Give Brainliest!!
Answer:
see below
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos ? = adj / hyp
cos ? = 30/48
Taking the inverse cos of each side
cos ^ -1 cos ? = cos ^ -1 ( 30/48)
? = 51.31781255
To the nearest degree
? = 51
Since this is a right triangle, we can use trig functions
cos ? = adj / hyp
cos ? = 40/53
Taking the inverse cos of each side
cos ^ -1 cos ? = cos ^ -1 ( 40/53)
? = 40.99935365
To the nearest degree
? = 41
Since this is a right triangle, we can use trig functions
tan ? = opp/adj
tan ? = 1/2
Taking the inverse tan of each side
tan ^ -1 tan ? = tan ^ -1 ( 1/2)
? = 26.56505118
To the nearest degree
? = 27
Since this is a right triangle, we can use trig functions
sin ? = opp / hyp
sin ? = 29/35
Taking the inverse sin of each side
sin ^ -1 sin ? = sin ^ -1 ( 29/35)
? = 55.95226763
To the nearest degree
? = 56
Answer:
[tex]\boxed{\mathrm{view \: explanation}}[/tex]
Step-by-step explanation:
All the triangles are right triangles, we can use trigonometric functions.
5) cos θ = adj / hyp
cos x = 30/48
cos⁻¹ cos x = cos⁻¹ (30/48)
x = 51.31781...
x ≈ 51
6) cos θ = adj / hyp
cos x = 40/53
cos⁻¹ cos x = cos⁻¹ (40/53)
x = 40.99935...
x ≈ 41
7) tan θ = opp/adj
tan x = 1/2
tan⁻¹ tan x = tan⁻¹ (1/2)
x = 26.56505...
x ≈ 27
8) sin θ = opp / hyp
sin x = 29/35
sin⁻¹ sin x = sin⁻¹ (29/35)
x = 55.95227...
x ≈ 56
Drag the tiles to the correct boxes. Not all tiles will be used. Consider the following function: f(x) = -3/4x+9. Place the steps for finding f^-1(x) in the correct order.
Answer:
The steps include:
1. y = –3/4x + 9
2. x = –3/4y + 9
3. x – 9 = –3/4y
4. –4/3(x – 9) = y
5. y = –4/3x + 12
6. f¯¹(x) = –4/3x + 12
Step-by-step explanation:
f(x) = –3/4x + 9
The inverse, f¯¹(x) of the above expression can be obtained as follow:
f(x) = –3/4x + 9
Let y = f(x)
y = –3/4x + 9
Interchange x and y
x = –3/4y + 9
Making y the subject of the expression, we have:
x = –3/4y + 9
Rearrange
x – 9 = –3/4y
Cross multiply
4(x – 9) = –3y
Divide both side by –3
–4/3(x – 9) = y
Clear bracket
y = –4/3x + 12
Replace y with f¯¹(x)
f¯¹(x) = –4/3x + 12
Therefore, the steps include:
1. y = –3/4x + 9
2. x = –3/4y + 9
3. x – 9 = –3/4y
4. –4/3(x – 9) = y
5. y = –4/3x + 12
6. f¯¹(x) = –4/3x + 12
Answer:
1. y = –3/4x + 9
2. x = –3/4y + 9
3. x – 9 = –3/4y
4. –4/3(x – 9) = y
5. y = –4/3x + 12
6. f¯¹(x) = –4/3x + 12
Step-by-step explanation:
f(x) = –3/4x + 9
The inverse, f¯¹(x) of the above expression can be obtained as follow:
f(x) = –3/4x + 9
Let y = f(x)
y = –3/4x + 9
Interchange x and y
x = –3/4y + 9
Making y the subject of the expression, we have:
x = –3/4y + 9
Rearrange
x – 9 = –3/4y
Cross multiply
4(x – 9) = –3y
Divide both side by –3
–4/3(x – 9) = y
Clear bracket
y = –4/3x + 12
Replace y with f¯¹(x)
f¯¹(x) = –4/3x + 12
Therefore, the steps include:
1. y = –3/4x + 9
2. x = –3/4y + 9
3. x – 9 = –3/4y
4. –4/3(x – 9) = y
5. y = –4/3x + 12
6. f¯¹(x) = –4/3x + 12
Step-by-step explanation:
4 + h ≤ 7 and h + 1 > 3 What is the value of the unknown number, h?
Answer:
2 < h <= 3
Step-by-step explanation:
4 + h <= 7
h <= 3 (subtract 4 on both side)
h + 1 > 3
h > 2 (subtract 1 on both side)
So, 2 < h <= 3
If the lengths of the legs of a right triangle are 3 and 10, what is the length of the hypotenuse?
Answer:
a = √109 or 10.44Step-by-step explanation:
To find the hypotenuse we use Pythagoras theorem which is given by
a² = b² + c²
where a is the hypotenuse
So we have
a² = 10² + 3²
a² = 100 + 9
a² = 109
a = √109 or 10.44Hope this helps you
Answer:
10.4
Step-by-step explanation:
Please answer the question in the image below ASAP
Answer:
B
Step-by-step explanation:
Here, we have a grain silo having 2 shapes fused together to make it.
A cylinder and then a hemisphere ( half sphere)
Now, we want to calculate the volume of grain that could completely fill the silo.
Mathematically, to do that, we will need to add the volume of the cylinder to the volume of the hemisphere.
Mathematically,
Volume of cylinder is;
pi * r^2 * h
From the question, r = 6 ft and h = 168 with pi = 22/7
Substituting these values, we have
Volume of cylinder= pi * 6^2 * 168 = 6,048 pi
The volume of the sphere will be;
4/3* pi * r^3= 4/3 * pi * 6^3 = 288 pi
So the total volume of the silo will be;
288 pi + 6,048 pi = 6336 pi
So to have the final result, let’s multiply by value of pi
6336 * 22/7 = 19,193 ft^3
The closest answer here probably due to previous approximations is 19,008 ft^3