Answer:
The answer is "138.10"
Step-by-step explanation:
Let r also be cone base radius and h = the cone height.
The radius for the original circle was on either side of the cone plied together = 7.
The hypotenuse is 7, as well as a right triangle, is formed. So:
[tex]\to h^2+r^2 = 49\\\\ \to r^2 = 49-h^2[/tex]
Calculating the volume of the cone:
[tex]V = (\frac{1}{3}) \pi r^2 h \\\\[/tex]
[tex]= (\frac{1}{3}) \pi (49 -h^2) h\\\\= (\frac{1}{3}) \pi 49h -h^3\\\\[/tex]
[tex]V'(h) = (\frac{1}{3}) \pi 49 - 3h^2\\\\[/tex]
Setting the derivative to zero and solving for h^2:
[tex]49-3h^2 = 0 \\\\ h^2 = \frac{49}{3} \\\\ r^2 = 49-\frac{49}{3} \\[/tex]
[tex]= \frac{ 147 -49}{3} \\\\= \frac{98}{3} \\\\[/tex]
Calculating the maximum volume:
[tex]= \frac{1}{3} \pi \frac{98}{3} \frac{7\sqrt{3}}{3} \\\\= \frac{1}{3} \times 3.14 \times 32.66 \times 4.04 \\\\= \frac{1}{3} \times 3.14 \times 32.66 \times 4.04 \\\\= 138.10[/tex]
Solve the triangle with the law of sines
Answer:
AC = 12.6
AB = 49.8
C = 73°
Step-by-step explanation:
(B/sin(14)) = (52/sin(93))
B = (52*sin(14))/sin(93)
B = 12.6
(C/sin(73)) = (52/sin(93))
C = (52*sin(73))/sin(93)
C = 49.8
An isosceles triangle has an angle that measures 50° Which other angles could be in that
isosceles triangle? Choose all that apply
Step-by-step explanation:
well I don't know what the answer choices are but here's some information that could help.
all of the angles in a triangle have to add up to 180°
and isosceles triangles have at least two sides that are congruent. This also means that at least two angles have to be congruent
based on this there could be two angles that measure 50° and the last angle would measure 80°
or one angle could measure 50° and the other two angles each measure 65 degrees
just ask if you need more information
Find the common difference for the sequence shown.
56, 49, 42, 35, ...
Answer:
7
Step-by-step explanation:
Someone help me solve this please :(
Answer:
-5
Step-by-step explanation:
multiply both sides of the equation by the denominator(12)
thus giving:
14+10x=-3(12)
14+10x=-36
take 14 to the other side;
10x=-36-14
10x=-50
divide both side by 10
x=-5
After subtracting 2x from each side, the resulting equation is shown below:
2x--3y=-9
-3y=-2x-9
the final step to solve for y would be to ?
Answer:
divide each number by negative 3
Step-by-step explanation:
-3y=-2x-9
y=2/3+3
Given vectors u = 3, 4, and y=(4,3), what is the measure of the angle between the vectors?
0°
16.39
163.7°
Undefined
Answer:
b on edge, 16.3
Step-by-step explanation:
trust
The angle between the two given vectors is 16.26°
How to find the angle between two vectors?
Here we have the vectors u = (3, 4) and y = (4, 3).
We know that:
u*y = |u|*|y|*cos(θ)
Then:
u*y = 3*4 + 4*3 = 24
And:
|u| = √(3^2 + 4^2) = √25 = 5 = |y|
Then we have:
24 = 5*5*cos(θ)
24/25 = cos(θ)
To find theta, we apply the inverse cosine function in both sides:
Acos(24/25) = θ = 16.26°
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A deep sea diver is at 45 feet below sea level. A helicopter is at 100 feet above sea level. What is the distance between the helicopter and deep sea diver?
Answer:
D = 55 feet
Step-by-step explanation:
Let below sea level is negative direction and above sea level is positive direction.
A deep sea diver is at 45 feet below sea level = -45 feet
A helicopter is at 100 feet above sea level = +100 feet
We need to find the distance between the helicopter and deep sea diver. It can be calculated by simply adding the above data as follows:
D = -45 +100
= 55 feet
Hence, the distance between the helicopter and deep sea diver is 55 feet.
In a winter storm, the amount of snowfall is directly proportional to the time
it has been snowing. After 4 hours, a total of 7 inches of snow has fallen. Determine how many inches of
snowfall have fallen after 6 hours. Show the work that leads to your answer.
Answer:
10.5 Inches of snow after 6 hours
Step-by-step explanation:
First you would divide
7/4=1.75
Then you would multiply by 6
1.75*6=10.5
10.5 inches of snow would be the total
Hope this helped! :D
The amount of snowfall in 6 hours, if the amount of snowfall is directly proportional to the time, is 10.5 inches.
What is proportion?In general, the term "proportion" refers to a part, share, or amount that is compared to a whole. According to the definition of proportion, two ratios are in proportion when they are equal.
Given:
In a winter storm, the amount of snowfall is directly proportional to the time,
After 4 hours, a total of 7 inches of snow had fallen,
Calculate the amount of snowfall in one hour as shown below,
amount of snowfall in one hour = 7 / 4
Calculate the amount of snowfall that occurs in 6 hours,
Amount of snowfall in 6 hours = 7 / 4 × 6
Amount of snowfall in 6 hours = 10.5 inches
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a local flower shop sells a dozen roses for 12.85 how much will one rose cost
Answer:
1.07
Step-by-step explanation:
could you answer this question cause i need it for math
Step-by-step explanation:
5p/7-18=-43
5p/7=-43+18
5p/7=-25
5p=-25×7
5p=-175
p=-175/5
p=-35
not sure lol
Answer:
5p/7 = -43+18
5p/7 = -25
5p= -25*7
p = -35
Step-by-step explanation:
Based on what you have read, write two to three sentences explaining what James Cross Giblin probably wants readers to think about people who focus on difficult goals.
Answer:
He wants them to know he did it corrcet and knows the writting
Step-by-step explanation:
Can anyone help? Ty!
Answer:
15
Step-by-step explanation:
15 x .2 = 3
Let v = (-13, 2) and w= (–9,-5). What is w-v?
(-22, -23)
(-4,7)
(4,-7)
(22, 3)
Answer:
C) (4,-7)
Step-by-step explanation:
The value of w-v is (4, -7).
What is Coordinates?Coordinates is an address, which helps to locate a point in two-dimensional space.
Here, given coordinates;
v ≡ (-13, 2) and w ≡ (-9, -5)
Now, we need to find;
w - v ≡ (-9-(-13), -5 - 2)
≡ (-9+13 , -7 )
≡ (4, -7)
Thus, the value of w-v is (4, -7).
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The ratio of girls to boys at a party is 25:15. Write this as simply as possible.
The required simple ratio of the given ratio of girls to boys at a party is 5 : 3.
Given that,
The ratio of girls to boys at a party is 25:15. To write this as simple.
In mathematics, it deals with numbers of operations according to the statements.
What is the Ratio?The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
The ratio of girls to boys at a party is 25:15,
= 25 / 15 implies there are 25 girls over 15 boys in the school party,
= 5 * 5 / 5 *3
= 5 / 3 it implies there are 5 girls over 3 boys in the school party.
Thus, the required simple ratio of the given ratio of girls to boys at a party is 5 : 3.
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Mr. Clemens painted his barn for 3 and 4/5 hours in the morning. He painted the barn for 5 and 3/4 hours in the afternoon. How many more hours did Mr. Clemens paint the barn in the afternoon than in the morning?
Answer:
1 19/20 hours
Step-by-step explanation:
We solve the above question using Subtraction operation
Hence:
The number rod hours Mr. Clemens painted the barn in the afternoon than in the morning is calculated as:
5 3/4 hours - 3 4/5 hours
5- 3 +( 3/4 - 4/5)
Lowest Common Denominator = 20
2 + (15 - 16/20)
2 + -1/20 hours
= 1 19/20 hours
Solve for x. x3=8125 Enter your answer in the box as a fraction in simplest form. x =
The cubic equation x³ = 8125 has only one solution because it has no other variable. Then the value of x is 20.104.
What is the solution to the equation?The solution of the equation means the value of the variable.
The given equation is x³ = 8125.
Taking the cube root, then we have
x = ∛8125
x = 20.1036 ≈ 20.104
The cubic equation x³ = 8125 has only one solution because it has no other variable. Then the value of x is 20.104.
More about the solution to the equation link is given below.
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Delilah does 184184184 jumping jacks in 444 minutes. She does her jumping jacks at a constant rate.
How many jumping jacks can Delilah do per minute?
Answer:
24889754. 594 repeat
Step-by-step explanation:
A cookie recipe requires 2.5 cups of sugar for every 10 cups of flour. If a
baker makes enough cookies to use 16 cups of sugar, how many cups
of flour would be used?
HELP FAST THIS IS A TEST AND ITS ABOUT TO END SOOOONNNNN
how do I solve this problem
Answer:
48
Step-by-step explanation:
Cuanto es 15 Multiplicado por 15
What is the remainder when (4x^3 + 3x^2 - 17x - 12) is divided by (x - 1)?
Answer:
remainder is 4x^2+7x-10- 22/x-1
Step-by-step explanation:
what is K=2r-5s solving for r
In AJKL, if m2 J = 90°, then K and j are
A) Complementary
O B) Congruent
O C) Obtuse
OD) Right
What function equation is represented by the graph?
f(x)=−4x−3
f(x)=1/4x−3
f(x)=−1/4x−3
f(x)=1/4x+3
Answer:
f(x)=1/4x-3
Step-by-step explanation:
y=mx+b
y-intercept is -3
-3=b
rise over round to find the slope
up 1 over 4
m=1/4
What is the solution to m/-7 less than or equal to 14? m Greater than or equal to –2 m Greater than or equal to –98 m Less than or equal to –2 m Less than or equal to –98
Answer:
b
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
You know the length and the width of a scale model. What additional information do you need to know to find the scale of the model? The options are... A. The width or height of the actual item B. The length or width of the actual item C. The height or width of the actual item D. The depth or height of the actual item and how would I explain my reasoning depending on the answer?
Answer:
B; The length or width of the actual item
Step-by-step explanation:
In cases like this, to find the scale factor, we will need to make a comparison between the length or width of the scale model and the length or width of the actual item
By having a further information about the length or width of the actual item, then we can actually make a comparison by dividing the length or width of both cases by each other
This means that we compare the length of the scale model and the length of the actual item
Then the width of the scale model and the width of the actual item
Which ordered pair is in the solution set of 2x - 5 y > 10.
The chicken coop at the petting farm is 10 x 14‘. The farm would like to double the current area by adding the same amount, X, to the length and width. What are the dimensions of the new enclosure? Round to the nearest hundredth of a foot
Answer:
x = 4.85 feet
Step-by-step explanation:
Original area of the petting farm = 10 × 14
= 140 square feet
.
New area = double the original area = 140 * 2
= 280 square feet
New area of the petting farm =
Width × length
280 = (10+x) × (14+x)
280 = 140 + 10x + 14x + x²
280 - 140 = x² + 24x
140 = x² + 24x
x² + 24x - 140 = 0
Solve the quadratic equation
x = -b ± √b² - 4ac / 2a
= -24 ± √(24)² - 4*1*-140 / 2*1
= -24 ± √ 576 - (-560) / 2
= -24 ± √ 576 + 560 / 2
= -24 ± √1,136 / 2
= -24 ± 4√71 / 2
= -24/2 ± 4√71/2
= -12 ± 2√71
x = 4.8523 or x = -28.8583
x can not be a negative value
Therefore,
x = 4.85 feet to the nearest hundredth
What is the value of 0.15 divided by
0.05?
Answer:
0.3
Step-by-step explanation:
The answer is actually 3
can u solve this easy question:)
Answer:
2.2
Step-by-step explanation:
a = v/t
v = 120km\h = 120*1000/3600= 33.3m/s
a = 33.3/15
a = 2.2 m/s^2