The radius of the cylinder is 7 in, the volume of the cone is 452.2 unit³, the volume of the hemisphere is 1436 in³ while the diameter of the sphere is 14.6 units
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
a) Volume of cylinder = π * radius² * height
461.58 = 3.14 * radius² * 3
radius = 7 in
b) Volume of cone = (1/3) * π * radius² * height
Volume = (1/3) * 3.14 * (12/2)² * 12
Volume = 452.2 unit³
c) Volume of sphere = (4/3) π * radius³
Volume of sphere = (4/3) * 3.14 * 7³
Volume = 1436 in³
d) Volume of sphere = (4/3) π * radius³
407.51 = (4/3) * 3.14 * radius³
Radius = 7.3
Diameter = 14.6 units
The radius of the cylinder is 7 in, the volume of the cone is 452.2 unit³, the volume of the hemisphere is 1436 in³ while the diameter of the sphere is 14.6 units
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SNOWMOBILES Bruce rents snowmobiles to tourists. He charges $135 for 4 hours and $202.50 for 6 hours. What is the hourly rate Bruce charges to rent a snowmobile
Answer:
The answer is 33.75 per hour
Step-by-step explanation:
Divide 135 by 4
What to do: Complete each of the following problems involving ladders and walls by using trigonometric functions and inverse trigonometric functions to determine unknown lengths and angle measures.
Questions:
a) A ladder is placed against the wall of a building such that the bottom of the ladder is 3 ft from the bottom of the wall. If the ladder forms a 14 degree angle with the building, how high up the wall does the ladder reach?
b) A 15 foot ladder is leaned against a wall so that the bottom of the ladder forms a 75 degree angle with the ground. How far up the wall does the ladder reach?
c) You need to paint shutters on a window that is on the second floor of your house. You have a 20 foot ladder that you will use. There is a warning on the ladder that states the angle formed by the ladder and the ground must not be less than 70 degrees, or the ladder may slip and cause serious injury or death. You planned on placing the bottom of the ladder 3 feet from the base of the house.
Will the angle formed between the ground and the ladder be safe? What is the furthest possible distance the ladder can be placed to maintain a safe angle?
How you must answer:
- Sketch:
-We know:
-We want
-Rationale: Which ratio will you use and why?
-Solution
How do you answer:
= you must include an accurate sketch
= a statement identifying the known information - we know
= a statement that tells what you are solving for - we want
= the equation you used to solve the problem
Answer:
Step-by-step explanation:
a) x be the height of the wall
[tex]tan \ 14 =\dfrac{opposite \ side}{adjacent \ side}\\\\\\0.2493 = \dfrac{3}{x}\\\\\\x*0.25 = 3\\\\x = \dfrac{3}{0.25}\\\\\\x = 12 ft[/tex]
b) Let y be the hieght of the wall
[tex]Sin \ 75 = \dfrac{opposite \ side}{hypotenuse}\\\\\\0.9659 = \dfrac{y}{15}\\\\\\0.97*15=y\\\\[/tex]
y = 14.6 ft
c) Let the angle formed between the bottom of the ladder to the ground be 'x'
[tex]Cos \x =\dfrac{adjacent \side}{hypotenuse}\\\\Cos \ x =\dfrac{3}{20}\\\\\\Cos \x = 0.15\\\\x = Cos^{-1} \ (0.15)\\\\[/tex]
x = 81°
No, the angle formed between the ground and the ladder is not safe as it is more than 70°
Let the farthest possible distance ladder placed from the wall be 'y'
[tex]Cos \ 70 =\dfrac{adjacent \ side }{hypotenuse}\\\\0.342 = \dfrac{y}{20}\\\\0.3*20=y[/tex]
y = 6 ft
6 ft is the furthest possible distance the ladder can be placed to maintain a safe angle.
The average (mean) of five numbers is 8. If one of the numbers is left out, the average of the remaining numbers is 7. What number is left out? B8 C 10 A 7 D 12
The left out number is 12 if the average (mean) of five numbers is 8. If one of the numbers is left out, the average of the remaining numbers is 7 option (D) is correct.
What is mean?It is defined as the single number that represents the mean value for the given set of data or the closed value for each entry given in the set of data.
Let's suppose the number of sum is x when mean is 8
[tex]\rm \dfrac{x}{5} = 8[/tex]
x = 40
Now one number is left out, mean become 7 let's suppose the sum is y.
[tex]\rm \dfrac{y}{4} = 7[/tex]
y = 28
So, the number = 40 - 28 = 12
Thus, the left out number is 12 if the average (mean) of five numbers is 8. If one of the numbers is left out, the average of the remaining numbers is 7 option (D) is correct.
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The major key with 2 flats is the key of _____. f major e♭ major a♭ major b♭ major *subject is music*
The major key with 2 flats is :
B♭ major
Answer:
The key of B♭ major has two flats
Step-by-step explanation:
An accidental sign consisting of two flat symbols ♭that lower a note by two half steps two semitones. The double flat symbol alters the pitch of the note to which it is attached as well as any subsequent occurrence of the same note identical line or space in the same measure.
Hope this helps
~Heaven~
The tree diagram represents an experiment consisting Of two trials. . 3,. 7,. 2,. 8 p(D)
Please help
Answer:
0.65
.6 x .5 + .7 x .5 = 0.65
Step-by-step explanation:
Please help me solve this problem ASAP
I have a huge test coming up and I need to understand the questions
Answer:
1.25w
Step-by-step explanation:
w+0.25 is really 1w+0.25, therefore adding the two would equal 1.25w, here is how to solve it:
[tex]w+0.25w\\1*w+0.25w\\1w+0.25w\\1.25w[/tex]
A guy wire runs from the top of a cell tower to a metal stake in the ground. Marques places a 11-foot tall pole to support the guy wire. After placing the pole, Marques measures the distance from the stake to the pole to be 3 ft. He then measures the distance from the pole to the tower to be 22 ft. Find the length of the guy wire, to the nearest foot.
The Pythagorean theorem computed shows that the length of the guy wire, to the nearest foot, is 207 ft.
How to solve the length?Here, we have two similar right triangles, ΔABE and ΔCDE.
CD = 11 ft
DE = 2 ft
BD = 35 ft
First, find AB:
AB/11 = (35 + 2)/2
AB/11 = 37/2
Cross multiply
AB = (37 × 11)/2
AB = 203.5 ft
Then, apply Pythagorean Theorem to find AE:
AE = √(AB² + BE²)
AE = √(203.5² + 37²)
AE = 207 ft
Therefore, the length of the guy wire is 207 ft.
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3. Make Sense and Persevere The circumference of the inner
circle is 44 feet. The distance between the inner circle and the outer
circle is 3 feet. By how many feet is the circumference of the outer
22
circle greater than the circumference of the inner circle? Use ?
for . Round to the nearest hundredth of a foot.
Answer:
9.42 feet more
Step-by-step explanation:
the outer circle is 53.42 feet
hope this helps :)
You fill the entire fish tank with water. Then you dump out some of the water. The volume of the water in the tank decreases by 96 cubic inches. How deep is the water now? (The height is 12 inches, the base is 48)
Answer:
1. 6/10 – 2/5 =
Ans: 2/10, which can be reduced to 1/5.
2. If a tank is 5/8 filled with solution, how much of the tank is empty?
Ans: 3/8 of the tank is empty. Since the whole tank would equal 8/8, or 1, and 5/8 of it is filled, then that
means 3/8 of it remains empty.
3. 1/2 x 3/5 x2/3 =
Ans: 6/30, which can be reduced to 1/5.
4. 5/9 ÷ 4/11 =
Ans: 55/36. You cannot reduce this fraction any further.
5. Convert 27/4 to a decimal.
Ans: 6.75. This answer is arrived at by dividing 4 into 27.
6. Convert 0.45 to a fraction.
Ans: 45/100, which can be reduced to 9/20.
7. 4.27 x 1.6 =
Ans: 6.832
8. 6.5 ÷ 0.8 =
Ans: 8.125
9. 12 + 4.52 + 245.621 =
Ans: 262.141
Step-by-step explanation:
I hope this helps
What is the answer elmo wants it
[tex]\bold{Heya!}[/tex]
→ Answer :-[tex]\sf{= 10}[/tex]
→ EXPLANATION :-Convert mixed numbers to imporved fractions: [tex]\sf{3 \frac{3}{4} = \frac{15}{4}[/tex]
[tex]\sf{= \frac{15}{4}[/tex] ÷ [tex]\sf{\frac{3}{8}[/tex]
Apply the fraction rule: [tex]\sf{\frac{a}{b}[/tex] ÷ [tex]\sf{\frac{c}{d} = \frac{a}{b} \: x \: \frac{d}c}[/tex]
[tex]\sf{= \frac{15}{4} \: x \: \frac{8}{3}[/tex]
Multiply fractions: [tex]\sf{\frac{a}{b} \: x \: \frac{c}{d} = \frac{a \: x \: c}{b \: x \: d}[/tex]
[tex]\sf{= \frac{15 \: x \: 8}{4 \: x \: 3}[/tex]
Multiply the numbers: [tex]\sf{ 4 \: x \: 3 = 12}[/tex]
[tex]\sf{= \frac{110}{12}[/tex]
Divide the numbers [tex]\sf{\frac{120}{12} = 10[/tex]
[tex]\sf{= 10}[/tex]
Hopefully This Helps! ~
#LearnWithBrainly
[tex]\underline{Answer :}[/tex]
Jaceysan ~
Solve the equation 2×-31=3(×+2)
Answer:
x=-37
Step-by-step explanation:
First, rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation:
2*x-31-(3*(x+2))=0
(2x - 31) - 3 • (x + 2) = 0
Pulling out like terms
3.1 Pull out like factors :
-x - 37 = -1 • (x + 37)
Equation at the end of step
-x - 37 = 0
Solving a Single Variable Equation:
4.1 Solve : -x-37 = 0
Add 37 to both sides of the equation :
-x = 37
Multiply both sides of the equation by (-1) : x = -37
which name gives the most information about the shape below
Rhombus
Trapezoid
quadrilateral
Parallelogram
4. Ryan bicycled 100 miles from his home. The table shows his distance, in miles, from home at different times.
What was Ryan's average speed?
A. 5 miles/hour
B. 20 miles/hour
C. 10 miles/hour
D. 25 miles/hour
Ryan's Distance From Home
Time (hours) Distance
(miles)
1.5 30
2 40
2.5 50
3 60
Answer:
20 miles/hour
Step-by-step explanation:
To find the average speed you can divide the Distance by time.
30 ÷ 1.5 = 20
40 ÷ 2 = 20
50 ÷ 2.5 = 20
60 ÷ 3 = 20
In a diagram showing two parallel lines cut by a transversal, the measure of two same-side interior angles are both given as 5x°.
Without writing and solving an equation, can you determine the measures of both angles? Explain.
Because same-side interior angles are , and because these two angles are equal, each angle must be one-half of °, or each angle must have a measure of °.
Please help fast I’ll give Brainy
Answer:
See below.
Step-by-step explanation:
Because same-side interior angles are supplementary, and becasue these two angles are equal, each angle must be one-half of 180°, or each angle must have a measure of 90°.
a contractor hires 150 men to pave Philip Goldson highway in 30 days. How many men will he hire to do the same work in 20 days?
Answer:
225 men
This conversion leads to the answer:
30 days → 150 men1 days → (150 *30) men1 days → 4500 men20 days → (4500/20) men20 days → 225 menWhich graph represents the equation ? [ x - 1/2 ]^2 + [ y + 5/2 ]^2 = 1/4?
Answer: 2
Answer:
B
Step-by-step explanation:
center (1/2,-5/2)
radius=1/2
4. Sebastian's lemonade recipe uses 4 cups
of water and 1 cup of lemon concentrate.
What is the percentage of the lemonade
recipe that is lemon concentrate,
The figure formed by (−3, 2), (−4, 1), and (−1, −5) is translated 3 units right and 5 units up. What are the coordinates of the new figure?
Translating the figure involves chaging the position of the figure
The coordinates of the new figure are (0, 7), (1 , 6), and (2, 0)
The coordinates of the new figureThe coordinates are given as:
(−3, 2), (−4, 1), and (−1, −5)
The rule of translation 3 units right and 5 units up is:
(x + 3, y + 5)
So, we have:
(−3 + 3, 2 + 5), (−4 + 5 , 1 + 5), and (−1 + 3, −5 + 5)
Evaluate the sum
(0, 7), (1 , 6), and (2, 0)
Hence, the coordinates of the new figure are (0, 7), (1 , 6), and (2, 0)
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Using factor (2u – 1), sin(x) = Using factor (5u + 1), or sin(x) =
Answer:
sin(x)= 1/2 or sin(x)= -1/5
Answer: a c d e
Step-by-step explanation:2nd part
how many seconds does it take the second hand of a clock to rotate through an angle of 72
each minute pass by, the second hand rotate 360 degrees while minute hand rotate 6 degrees= 1/60 angle rotation of second hand. Let assume that the starting time is 12:00 hour, zero minute and zero second exactly .
by this simple method you can figure out your answer that what actually it is.
GOOD LUCK !
Lucas spends $83.42 in additional interest and charges on monthly payments as the result of a prior bankruptcy. if lucas been able to save this money for the year and then put it into a savings account earning 1.8% simple interest, how much money could he have in savings after 3 more years? a. $1,649.72 b. $1,055.10 c. $1,019.06 d. $1,001.04
The total amount Lusac have in his savings after 3 more years with 1.8% saving interest is $1055.10.
What is simple interest?Simple interest is the amount charged on the principal amount with a fixed rate of interest for a time period. Simple interest calculated only on the principal amount.
The formula for the simple interest can be given as,
[tex]I=\dfrac{Prt}{100}[/tex]
Here, (I) is the interest amount earned on the principal amount of (P) with the rate of (r) in the time period of (t).
Lucas spends $83.42 in additional interest and charges on monthly payments as the result of a prior bankruptcy. The amount save in a year (12 months) is,
[tex]P=83.42\times12\\P=1001.04[/tex]
The interest earned on this principal amount with earning 1.8% simple interest, after 3 years is,
[tex]I=\dfrac{1001.04\times1.83}{100}\\I=54.06[/tex]
The total total amount in his bank account after 3 years is,
[tex]A=P+I\\A=1001.04+54.06\\A=1055.10[/tex]
Hence, the total amount Lusac have in his savings after 3 more years with 1.8% saving interest is $1055.10.
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Answer:
b.
$1,055.10
Step-by-step explanation:
right on edg 22
I need this answered
g(x)=4x+4
[tex]\:\boxed{\bf{Table}}\:\:\:\\ \boxed{\begin{array}{c|c}{\boxed{\bf x}}&{\boxed{\bf{g(x)}}}\\ \sf -1 &\sf 0\\ \sf 0&\sf 4 \\ \sf 2&\sf 12 \\ \sf 3&\sf 16 \\ \sf 4 &\sf 20\end{array}}[/tex]
find the area of a triangle two sides of which are 8cm and 11 cm and the perimeter is 32
the area of the triangle.
solution:area of triangle= 1/2 × h × b
= 1/2 × 8 × 11
= 44cm^2
Answer:
44
Step-by-step explanation:
8+11=1932-19=13area of a triangle=½×base×height
13~hypotenuese½×8×11=44cmhope that hepls
incase u have any question coment belowBob did a survey asking adults which pet they wished they had as a kid. The results are below. If 720 adults said the pet they wished they had was a dog, how many adults wished they had a rabbit?
Answer: there iis none so cose zero
Step-by-step explanation:
Bob did a survey asking adults which pet they wished they had as a kid. The results are below. If 720 adults said the pet they wished they had was a dog, how many adults wished they had a rabbit?
How do solve a system of equations
Answer:
you have 3 way which one you want comparison supstitution or the third one
7 whole number 2/3 -4 5/6 + 2 3/8
whats 50% of 1/2 of a mile
Answer:
0.25 or 1/4
Step-by-step explanation:
hope this helps
Answer:
Step-by-step explanation:
Half of half a mile is one quarter mile: (1/2)(1/2) = 1/4
A parallelogram is shown. The length of the sides are 5 units and the length of the top and bottom segments are 8 units. A diagonal is drawn from one point to the opposite side. The length of the diagonal is 11 units.
Using Heron’s formula, calculate the area of the parallelogram to the nearest tenth of a square unit.
Area ≈
square units
Using the Heron's formula, the area of the parallelogram is 36.7 square units.
How to use Heron's formula?Heron's Formula = √[s(s - a)(s - b)(s - c)],
where,
a, b, and c = side of the triangles = semi perimeter of the triangleArea of the parallelogram = 2(area of triangle)
Therefore,
The area of the triangle can be found using Heron's Formula
a = 5 units
b = 8 units
c = 11 units
s = 5 + 8 + 11 / 2 = 12 units
area of triangle = √[12(12-5)(12 - 8)(12 - 11)]
area of triangle = √12 × 7 × 4 × 1
area of triangle = √336
area of triangle = 18.3303027798
area of triangle= 18.33 units²
Therefore,
area of parallelogram = 2(18.33) = 36.6606055596
area of parallelogram = 36.7 unit²
learn more on Heron's formula here:https://brainly.com/question/12771530
The correct answer is 36.7 square units
Math
HELP!!! ASAP!!!
construct a sequence of ten numbers with the same property using each of the numbers from 1 to 5 twice
1+1+2+2+3+3+4+4+5+5 is your answer. If it's wrong I'm sorry
What are the zeros of g(x) = x(x2 – 25)(x2 – 3x – 4)?
Answer:
The zeros are -5, -1, 0, 4, 5.
Step-by-step explanation:
x(x2 – 25)(x2 – 3x – 4) = 0
x(x - 5)(x + 5)(x + 1)(x - 4) = 0
so either x or the other 4 factors can be 0 :
x = 0, x - 5 = 0, x + 5 = 0, x + 1 = 0 or x - 4= 0, giving:-
x = 0, 5, -5, -1, 4.
just more and more of these.
⇒ ANSWER : x = 0, x = 5, x = -5, x = 4 and x = -1
EQUATION GIVEN: g(x) = x(x2 – 25)(x2 – 3x – 4)
1) factorize the equation
g(x)=x(x-5)(x+5)(x²-3x-4)
2) expand the equation
g(x)=x(x-5)(x+5)(x²+x-4x-4)
3) factorize
g(x)=x(x-5)(x+5)(x(x+1)-4(x+1))
4) factor out x+1
g(x)=x(x-5)(x+5)(x-4)(x-1)
5) equate to 0
x(x-5)(x+5)(x-4)(x+1)=0
6) solve for x
x = 0, x = 5, x = -5, x = 4, x = -1
Pain.
