Answer:
12 inches
Step-by-step explanation:
Suppose the ice cream scoop has the shape of a sphere of a radius (r) inches.
Thus, the top of the cone will also have a radius (r) inches.
Let consider h to be the height of the cone in inches.
So, the objective is to make the volume of the scoop of the ice cream to be the same as the volume of the cone.
To do that; we need to equate both volumes together and make h the subject of the formula:
The volume of a sphere = 4/3 πr³ and the volume of a cone = 1/3πr²h
4/3 πr³ = 1/3πr²h
Multiply both sides by 3
4πr³ = πr²h
4r = h
h = 4(3)
h = 12 inches
To contain all the ice cream inside the cone, the height of the ice cream cone needs to be 12 inches tall
1 Which expression is equivalent to (7x – 5) – (3x - 2)?
Answer:
The answer is D.
Step-by-step explanation:
In Triangle DEF, f = 160 cm, d = 670 cm and ZE=114°. Find the length of e, to the nearest
centimeter.
Answer:
This is an obtuse scalene triangle with the length of E measuring around 749 cm.
<D = 54.754° ≈ 55°
<E = 114°
<F = 11.246° ≈ 11°
Side D = 670 cm
Side E = 749.46937 cm ≈ 749 cm
Side F = 160 cm
Explanation:
When given two sides, and an angle, we can use trigonometry to find the missing angles, and sides.
Given the triangle ∆DEF with side D measuring 670 cm, side F measuring 160 cm, and angle E measuring 117°, we can apply the law of sines to identify the missing information. A & a chronologically refers to the first angle, and side. B & b chronologically refers to the second angle, and side. And C & c chronologically refers to the third angle, and side.
a / Sin (A) = b / Sin (B) = c / Sin (C)
[side 1]. [side 2]. [side 3].
↓ ↓ ↓
sideD/sin(<D) SideE/sin(<E) SideF/sin(<F)
______________________________
670cm / Sin(D) = E cm / Sin(114) = 160 / sin(F).
Since we are only given two sides with an angle measure, we can refer to the law of cosines to figure this one out.
It states that A = arccos(b²+c²-a²/2bc) → cos(A) = b²+c²-a²/2bc
B = arccos(a²+c²-b²/2ac) → cos(B) = a²+c²-b²/2ac
and C = arccos(a²+b²-c²/2ab) → cos(C) = a²+b²-c²/2ab
capital A, B, and C are angles A, B, and C.
lowercase a, b, and c are sides a, b, and c.
Therefore c² = a² + b² − 2ab cos(C),
b² = a² + c² - 2ac cos (B), and a² = b²+c² - 2bc.
SOH CAH TOA.
Since we know this, we can solve for pretty much everything as long as we are given at least 3 variables. Chronologically, because we are solving for side e, we must use b² = a² + c² - 2ac cos (B), because the rest are only variables we are given, making it easy to solve. So b² = 670² + 160² - 2(670 × 160) × cos(114°) = 561704.3362754.
Now take the square root of that to get b by itself, so √561704.3362754.... = 749.4693698046.... ≈ 749
Answer:749
Step-by-step explanation:
S.A.S law or Cosines
e=561704.33628= 749.469= 749
Jack earned $6.00 per hour before being given a 3% raise. What was Jack’s new wage after the raise?
Answer:
$6.18 per hour
Step-by-step explanation:
3% of 6 is 0.18You can get this number by multiplying 0.03 by 6
Add 0.18 to 6 and that gives Jack $6.18A creek is rising at a rate of 2 inches per hour. If the creek raises more than 3 feet, it will exceed flood stage. How long can the river rise at this rate without exceeding flood stage? (Remember there are 12 inches in a foot.) *
Answer:
16 hours
because in 16 hours 2 inches per hour it will overflow
First answer the problem 3,216 divided by 8 and ur quotiont/answer u then will look at the answer and find the first diget and then answer what place is that didet in.
Answer:
Quotient/Answer = 402
Hence the first digit is 4 and it's place value = hundreds
Step-by-step explanation:
Quotient = Dividend ÷ Divisor
Dividend = 3216
Divisor = 8
Quotient = 3216 ÷ 8
= 402
We are asked to find the place value of the first digit
Hence the first digit is 4 and it's place value = hundreds
Solve for x.
4 + 2x = 10
Answer:
The answer is 3
Hope this helps!
Help me ASAP for this question.
Answer:
<6 and <8
<1 and <7
Step-by-step explanation:
Supplementary are angles that add up to 180 degrees. (A straight line)
A pair of shoes costs $30.99 and the state sales tax is 4%. Use the formula C = p + rp to
find the total cost of the shoes, where C is the total cost, pis the price, and r is the sales tax
rate.
$32.23
$39.19
$43.39
$34.99
Answer:
the answer is A. $32.23
Step-by-step explanation:
Answer:
$32.00
Step-by-step explanation:
To find the sales tax always multiply the sales tax to to the cost of you item.
Being your sales tax is 4% you will Multiply 30.99 x .04 (not just 4)
30.99 x .04 = 1.2396 ( round to the nearest tenth) since the number after the 3 is 5 or above ,,,,round it off to 24...Making it $1.24 (tax) Now add that to your cost of the shoes
$30.99 + $1.24 = $32,23
For future : if the tax is 10, 20, 35%... You will multiply the cost of item by .10, .20, .35 (put the point in front of it .
the equation of a line is y-3x+10. the slope is changed to 3 and the y-intercept is changed to -4 what is the new equation of the line what is the effect to the line
What is the value of a3 in the sequence?
5, 10, 20, 40, 80...
pls help me yes you help
Answer:
C
Step-by-step explanation:
Answer:
C) A car can travel 80 miles on 2 gallons of gasoline.
Step-by-step explanation:
They gave us the unit rate which is 40 mile/1 gallon of gasoline. With the unit rate, we can then simplify each answer choice.
Simplified version of answer a: 1 mile/40 gallon of gasoline (we know it is wrong because it doesn't match with the unit rate.)
Simplified version of answer b: 41 mile/ 1 gallon of gasoline (we know it is wrong because it doesn't match with the unit rate.)
Simplified version of answer c: 40 miles/1 gallon of gasoline (this one is the correct answer since it matched the unit rate.
Simplified version of answer d: 40 miles/ 20 gallon of gasoline (we know it is wrong because it doesn't match with the unit rate.)
Hope this helped you : )
Mr Johnson has 4 boxes of pencils with 7 pencils
in each box. If he gives each of his 26 students a
pencil, how many pencils will he have left?
Answer:
2 pencils leftoverStep-by-step explanation:
Given:4 boxes with 7 pencils each
Number of students:26
Total Pencils4*7 = 28
He has 28 pencils in total.
Unknown:Number of extra pencils
Unknown = total pencils - total students= 28 - 26 = 2
Answer = 2 pencils leftoverHope this helped,
Kavitha Banarjee
¿Cual es la influencia de los movimientos sociales en la consolidación de la democracia en El Salvador sociales
Answer:
The influence is there is none
Step-by-step explanation:
whats equivelent to 9a + 12
Answer:
Multiply both terms of the numbers
hense you would do: 2(9a + 12) = 18a + 24
It doesn't have to be 2 however. If can be any number you want it to be
Step-by-step explanation:
Answer:
12+9a is equivelent to 9a+12 :-)
Step-by-step explanation:
The New England patriots scored 9 points in the first half. In the second half they scored 3 less than 2 times the points in the first half. What is the ratio of of the points and scored in the second half to the total number of points scored
Answer:
[tex]S : T = 5 : 8[/tex]
Step-by-step explanation:
Represent the first half with F and the second with S
We have that:
[tex]F = 9[/tex] --- From the first statement
[tex]S = 2F - 3[/tex] --- From the next statement
Required
Determine the ratio of S to the total point
First, we need to determine the value of S
Substitute 9 for F in [tex]S = 2F - 3[/tex]
[tex]S = 2 * 9 - 3[/tex]
[tex]S = 18 - 3[/tex]
[tex]S = 15[/tex]
Next, we determine the total points
[tex]Total = F + S[/tex]
[tex]Total = 9 + 15[/tex]
[tex]Total = 24[/tex]
The ratio of S to total is: (Represent total with T)
[tex]S : T = 15 : 24[/tex]
Divide both ration by 3
[tex]S : T = 15/3 : 24/3[/tex]
[tex]S : T = 5 : 8[/tex]
Hence, the ratio is 5 to 8
Heather sells cosmetics for a local company. During her first month of employment her sales were $60. During her second month her sales were $300. What was Heather’s percent of increase in sales? (Remember to move your decimal two places or multiply by 100 to make a decimal a percent!)
Answer:
80%
Step-by-step explanation:
300/3=100
60/3=20
100-20=80
The graph of g(x) is the result of translating the graph of f(x) = 3x six units to the right. What is the equation of g(x)?
g(x) = 3x – 6
g(x) = 3x + 6
g(x) = 3x – 6
g(x) = 3x + 6
Answer:
Its A
Step-by-step explanation:
Trust me
Answer:
a
Step-by-step explanation:
help me with this please
Answer:
C is correct
Step-by-step explanation:
3+6=9
2 sides on a triangle must be greater than the other side
what is the slope and equation of a line perpendicular to the y-axis passing through the point (-3,8)
a) slope is 0 and the equation is y= -3
b) slope is undefined and the equation is x=8
c) the slope is undefined the equation is x=-3
d) the slope is 0 the equation is y=8
Answer:
D
Step-by-step explanation:
I'm not entirely sure if I'm correct but from what I gathered I'm pretty sure it's D.
what is 6(5g + 2) = 30g
Answer:
g ∈ ∅
Step-by-step explanation:
Expand the expression
30 g + 12 = 30
Cancel out the 30g on both sides
12 = 0
Decide whether the statement is true or false
g ∈ ∅
Answer to this please!
Answer:
the answer is 56
Step-by-step explanation:
Answer:
The measure to angle 2 is 44.
Step-by-step explanation:
The segment towards the bottom is a straight line meaning it should equal 180°. 180 - 68 = 112. A triangle should equal 180° as well... so you add 112 to 24, then subtract that value from 180: 180 - 136 = 44
Evan told his mom that he could make 14/ 12 of a cake and 5/ 6 of another cake into 2 whole cakes his mom said no way prove it explain why or why not
Answer:
The mother is wrong
Step-by-step explanation:
What we do here will be to add the fractions of the cakes that we have
Mathematically, that will be;
14/12 + 5/6 = 24/12 = 2
This means that the mother is wrong and the cakes can actually be made into 2
HELPPP!! which of the following could be the ratio between the lengths of two legs of a 30,60,90 triangle
check all that apply:
whoever gives me the correct answer gets brianliest
Answer:
[tex]\sqrt{3}:3\\1:\sqrt{3}[/tex]
Step-by-step explanation:
Trigonometric Ratios
The ratios of the sides of a right triangle are called trigonometric ratios. There are six trigonometric ratios, sine, cosine, tangent, cosecant, secant, and cotangent.
The longest side of the triangle is called the hypotenuse and the other two sides are the legs.
Selecting any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.
The tangent ratio is defined as:
[tex]\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]
The cotangent ratio is defined as:
[tex]\displaystyle \cot\theta=\frac{\text{adjacent leg}}{\text{opposite leg}}[/tex]
As shown above, the tangent and the cotangent are the ratios of the two legs in any possible order.
If the triangle has angles of 30°, 60°, and 90°, then we can take one of the acute angles and find the tangent and cotangent to know the required ratios:
Let's take for example the 30° angle:
[tex]\displaystyle \text{ratio of legs: }\tan 30^\circ=\frac{\sqrt{3}}{3}[/tex]
[tex]\displaystyle \text{ratio of legs: }\cot 30^\circ=\sqrt{3}[/tex]
Thus the possible ratios from the list are:
[tex]\sqrt{3}:3\\1:\sqrt{3}[/tex]
The reciprocals of those ratios are also applicable
The relationship between the number of hours a plumber works and the total work fee
she charges is proportional. Her fee for 5 hours of work is $350.
Which of the following could be combinations of values for the plumber's work hours
and total work fee she charges?
Hours 3 - $270
Hours 3.5 - $245
Hours 6 - $440
Hours 7.25 - $530,50
Answer:
ANSWERS ARE B, C, AND D.
Step-by-step explanation:
I found the unit rate of 350 and 5, because we can use a calculator (as stated on top) I just punched in 350 divided by 5 and got 70. Now i know this may not sound that "professional", but nothing needs to always be professional as long as its efficient and most importantly gets you the right answer. I then took the time to multiply each number, (the ones on the left : 3, 3.5, 6, 7.25, and 8) by 70. If the answer you got on the calculator match up to the number on the right, (240, 420, 507.50, and 490) its correct, if it doesn't match up, you can tell that its most likely not the answer. You should end up with three answers that all end up having the unit rate of 70. Hope this helps anyone who needed it.
ANSWERS ARE B, C, AND D.
Answer:
The answer is B,C, And D
Step-by-step explanation:
I just saw it on Khan and got it right.
Bob went out to dinner and paid a 15% tip on a $20 meal? How much is the total bill?
Answer:
23
Step-by-step explanation:
15% of 20 = 3 then add the 3 to the 20 to get 23
23Answer:
Step-by-step explanation:
15/100*20 = 3
20+3 = 23
1. There are 10 people in a math club. Three people will be chosen for the Pi Day committee. How many different ways can club members structure the committee? a. 12 b. 120 c. 720 d. 604,800
Answer: 120
Step-by-step explanation:
From the question, we are informed that there are 10 people in a math club and that three people will be chosen for the Pi Day committee.
The number of different ways that the club members can structure the committee goes thus:
This can be solved by:
nCr = n! / r! (n - r)!
where n = 10
r = 3
= n! / r! (n - r)!
= 10! / 3! (10 - 3)!
= (10 × 9 × 8) / (3 × 2)
=120
Choose the graph which represents the solution to the inequality.
3 - 2x 2-17
Answer:
X ≥ 12, (Or A)
Step-by-step explanation:
First, you would do two step equation.
3-2x ≥ -17
+3 | +3
----------|------------------
-2x ≥ -14
Then you divide each side by -2
And you get, X≥12
Which, does not represent any of the graphs.
interior and exterior of angles of triangles
please help !!
Answer:
x = 20
Step-by-step explanation:
Assuming you require the value of x
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
7x - 15 is an exterior angle of the triangle, thus
7x - 15 = x + 28 + 4x - 3 , that is
7x - 15 = 5x + 25 ( subtract 5x from both sides )
2x - 15 = 25 ( add 15 to both sides )
2x = 40 ( divide both sides by 2 )
x = 20
In a survey of 31,000 people who owned a certain type of car, 2,015 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
6.5%
Step-by-step explanation:
2,015/31,000 = .065
Find the slope of the line passing through each of the following pairs of points.
(0, 7), (0, −8)
Answer:
holy, thats hard, I will try to do it for you
Step-by-step explanation: