Answer:
The height of this cylinder = 9.55 ins
Step-by-step explanation:
Volume cylinder = pi * r² * h = 30 ins
r=1
pi * r² * h = 30
pi * 1² * h = 30 ins
h = 30/pi
h = 9.55 ins
During the first few years of a tree's life, its growth rate is linear. For example, an oak tree grows at a rate of 1.5 feet per year for the first twelve years. Mostafa plants a maple tree in his backyard and measures its height at 4 feet. Two years later, Mostafa measures the tree again and finds that its height is now 6.5 feet. Which statement is correct given this information?
Answer:
Mostafa's maple tree grows at a slower yearly rate than an oak tree.
Step-by-step explanation:
Given that:
An oak tree grows at a rate of 1.5 feet per year for twelve years;
After 12 year; the oak tree will be = 12 × 1.5 = 18 feet per year.
Now; we are being told that Mostafa plants a maple tree at his backyard and measures its height at 4 feet.
i.e x years = 4 ft
two years later ; it height is now 6.5 ft
thus;
x year = 4 ft
x + 2 = 6.5 ft
[tex]6.5 * x = (x+2)4\\ \\ 6.5 x = 4x + 8\\ \\ 6.5x-4x = 8\\ \\ 2.5x = 8\\ \\ x = \dfrac{8}{2.5}\\ \\ x = 3.2[/tex]
Thus ; Mostafa first measured the height of the tree when it is 4 ft at the age year of 3.2
So;
if 3.2 year = 4 ft
1 year = x
x = [tex]\dfrac{4 *1 }{3.2}[/tex]
x = 1.25 ft
So if an oak tree grows at the rate of 1.5 ft in a year.
Then, Mostafa's maple tree grows at the rate of 1.25 ft in a year.
From the given information in the diagram attached below; we can infer that :
Mostafa's maple tree grows at a slower yearly rate than an oak tree.
Calculate the value of sin X to four decimal places
Answer:
0.7241
Step-by-step explanation:
sin = [tex]\frac{opposite}{hypotenuse}[/tex]
In this case we have the hypotenuse (2.9) but not the opposite so here is how you calculate it
[tex]a^{2}+b^{2}= c^{2} \\\\2^{2}+ b^{2}= 2.9^{2} \\4+ b^{2} = 8.41\\\\\sqrt{b^{2} }= \sqrt{4.41} \\b= 2.1[/tex]
So now you have the opposite (2.1)
so now you would divide [tex]\frac{2.1}{2.9} or 0.7241[/tex]
Answer:
[tex] \sin X = 0.7241 [/tex]
Step-by-step explanation:
For angle X, 2.0 ft is the adjacent leg. 2.9 ft is the hypotenuse.
The trig ratio that relates the adjacent leg to the hypotenuse is the cosine.
[tex] \cos X = \dfrac{adj}{opp} [/tex]
[tex] \cos X = \dfrac{2.0}{2.9} [/tex]
[tex] \cos X = 0.689655 [/tex]
Since we now know the value of cos X, we can find the value of sin X by using the trig identity
[tex] \sin^2 X + \cos^2 X = 1 [/tex]
[tex] \sin^2 X + (0.689655)^2 = 1 [/tex]
[tex] \sin^2 X = 0.524376 [/tex]
[tex] \sin X = 0.7241 [/tex]
Everything what’s the answer using the order of operations
Answer:
7*3=21
8-5=3
21+3-24
Step-by-step explanation:
What is the slope of the line graphed in the picture
Answer:
-1
Step-by-step explanation:
Take the two points
(-2,4) and (4,-2)
And we can find the slope
m = (y2-y1)/(x2-x1)
= (-2-4)/( 4 - -2)
=(-2-4)/(4+2)
= -6/6
= -1
What is the volume of a rectangular prism with a length of 12 feet, a width of 7 feet, and a height of 8 feet?
Answer:
672
Step-by-step explanation:
V=LWH
V=12*7*8
V=672
Answer:
672 ft cubed
Step-by-step explanation:
L x W x H = Area of a Rectangular Prism
12 x 7 x 8 = 672 ft cubed
find out three rational numbers lying between 2/3 and 3/4
PLEASE HELP........ NEED TO SUBMIT THIS NOW....
Kate recorded the length of her last six workouts. Workout Length (minutes) 1 49 2 29 3 32 4 55 5 42 6 29 What is the median of the lengths of Kate's workouts? (Round, if necessary.) A. 6 minutes B. 29 minutes C. 39.33 minutes D. 37 minutes Reset
Answer:
1, 2, 3, 4, 5, 6, 29, 29, 32, 42, 29, 55
median = 29
Step-by-step explanation:
median is the middle number in a list of numbers from least to greatest.
Tamara stacked two cubes, as shown. 2 stacked cubed. One cube has side lengths of 24 inches, and the second cube has side lengths of 12 inches. What is the total volume of the cubes? 1st cube volume: V = Bh V = (12)(12)(12) 2nd cube volume V = Bh V = (24)(24)(24) The total volume of the cubes is cubic inches.
Answer:
15 552 in³
Step-by-step explanation:
Since cubes have the same side lengths all around, to find the volume, you need to have one side length and cube it.
Cube 1 : 24³ = 24 x 24 x 24 = 13 824 in³
Cube 2 : 12³ = 12 x 12 x 12 = 1 728 in³
Now, to find the total, just add the volumes.
13 824 + 1 728 = 15 552 in³
The total volume of the cubes is V = 15,552 cubic inches
What is the Volume of a Cube?The formula of volume of the cube is given by:
Volume of Cube = a x a x a
Volume of Cube = a³
where a is the length of its sides or edges
Given data ,
The volume of the first cube with side length of 24 inches is given by:
V1 = (24 inches)³ = 13,824 cubic inches
The volume of the second cube with side length of 12 inches is given by:
V2 = (12 inches)³ = 1,728 cubic inches
The total volume of the two cubes is the sum of their volumes:
Total volume = V1 + V2 = 13,824 + 1,728 = 15,552 cubic inches
Hence , the total volume of the cubes is 15,552 cubic inches
To learn more about volume of cube click :
https://brainly.com/question/27770332
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PLEASE HELP ASAP I WILL GIVE 30 POINTS
during a six week period the value of a stock in dollars per share changed as follows:
Week 1= UP 3 2/8
Week 2= Up 2 1/4
Week 3= Down 3 3/4
Week 4 = Up 2 3/4
Week 5 = Down 1 1/8
Week 6= Down 5/8
Answer
Whats the question?
Step-by-step explanation:
Answer:
Umm, I don't get, what are we to do
Step-by-step explanation:
Huixian needs 171 pens , 63 pencils and 27 erasers into identical gift bags so that each item is equally distrusted among the gift bags . Find the number of each item in a gift bag
Answer:
57 pens per bag
21 pencils per bag
9 erasers per bag
Step-by-step explanation:
Here, we are to distribute a specific portion of each of the items in each of the gift bags.
What we must take into consideration is that the number of items per gift bag must be equal.
Thus, what we do is to divide the total number of each item by 3 to get exactly the number of each items that would be in each of the gift bags
For the pens, we have 171/3 = 57 pens per bag
For the pencils, we have 63/3 = 21 pencils per bag
For the erasers, we have 27/3 = 9 erasers per bag
Please answer me
bis two fifths of c.
4a = 30
Work out the ratio a:b:c
Give your answer in its simplest form where a, b and c are integers.
Answer:
a:c:b=3:4:8/5
Step-by-step explanation:
i hope this is correct
HELP I NEED THIS ASAP! IF ANYONE CAN HELP ME SOLVE THIS I WOULD BE REALLY GRATEFUL!
Answer:
First, you work out the 3 and Tail from the table: T3: 62
Then you add up all values from the table:
S = 43 + 49 + 54 + 65 + 71 +62 = 344
Then the probability of next toss and spin is 3 and Tail is:
P = T3/S = 62/344 = 0.18
what is the answer to i^{2n+1}
Answer:
(no solutions)
Step-by-step explanation:
Solve for n:
(0 + i)^(2 n + 1) = 0
Since i^z is never zero for any z element C, no solution exists for i^(2 n + 1) = 0:
Answer: (no solutions)
Which formula(s) can be used to find the nth partial sum of an arithmetic sequence or the sum of the first n terms of the arithmetic series?
Answer:
First Option : Sₙ= n/2(a₁ + aₙ)
Step-by-step explanation:
The nth partial sum of an arithmetic sequence or the sum of the first n terms of the arithmetic series can be defined as the sum of a finite number of term in an arithmetic sequence.
It is calculated using the formula:
Sₙ= n/2(a₁ + aₙ)
Where :
a₁ = First term
aₙ = last term
n = number of terms
The fine schedule for overdue books at the county library is modeled by values in the table
Answer:
What is the table? what are the values? If you can't insert a picture please type the like f(x)= y
Step-by-step explanation:
Answer:
I beleive the answer is choice B...
Step-by-step explanation:
In the chart if you divide the number of days over due to the cost of the fine, you get 5/2 every time. therefore, if y is the cost in cents and x is the days overdue, you would multiply x5/2 or y=5/2x, so your answer is B (y=5/2x)
Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing!
Answer:
the right answer is : A
Step-by-step explanation:
Answer:
the answer is B
Step-by-step explanation:
im smort
PLZ HELP ME FIGURE THIS OUT
Answer: k=1
Step-by-step explanation:
4 - 2k = 2
If it's easier you can also write it like
-2k + 4 =2
Solve for k by isolating it. Move four and then divide the -2.
-2k =2-4
-2k= -2
k= -2/-2
k=1
Answer:
1
Step-by-step explanation:
4-2k=2
When a letter is next to a number that means to mulptiply, so
4-2*1=2
2*1=2 and 4-2=2
Nyala went to the store with a $20 bill. She bought a coloring book priced at $3.15, a drink for $0.96, and two candy bars that cost $1.23 each. There is no tax. How much change does Nyala receive after paying with her $20 bill?
A) $6.57
B) $13.43
C) $14.66
D) $25.34
Answer: B 13.43
Step-by-step explanation:
3.15 + 0.96 + 2(1.23) = 6.57
20-6.57 = 13.43
what is 512.3÷ 0.25
Answer:
2049.2
Step-by-step explanation:
512.3÷ 0.25= 2049.2
You can use a calculator... (or long division.)
Answer:
2,049.2
Step-by-step explanation:
Hope this helped!
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The experimental probability that a blue car will pass in front of joe's house is 25%. If 24 cars pass joe's house on Tuesday, how many of the cars are expected to be blue?
A 4
B 8
C 5
D 6
Answer:
B Will be your answer
Answer:
idk
Step-by-step explanation:
idk
Ellen "The Wonderer" continues to walk in the path of an inscribed polygon. She starts at W, walks south until the boundary point E, turns 70 degrees and walks east till S, turns 100 degrees, and walks north to point T. Determine how many degrees Ellen must turn to get back to her starting point.
Answer:
110°
Step-by-step explanation:
The path in the inscribed polygon walked by Ellen is shown in the diagram attached. Let the degrees in which Ellen must turn to get back to her starting point be T. Therefore to calculate T we use the theorem "An inscribed quadrilateral whose vertices all lie on a circle, the opposite angles of such a quadrilateral are in fact supplements for each other i.e their sum is 180 degrees."
Therefore: T + 70° = 180°
T = 180° - 70°
T = 110°
To get back to the starting point, Ellen must turn 110°
3. Russell is filling a cylinder-shaped swimming pool that
has a diameter of 20 feet. He fills it with water to a
depth of 3 feet. What is the volume of the water in the
pool, to the nearest cubic foot?
377 cubic feet
942 cubic feet
2,958 cubic feet
3,768 cubic feet
377
942
2958
3768
O
Answer:
942 cubic feet
Step-by-step explanation:
Answer:
942.4777961 or 942
Step-by-step explanation:
First find the area of the circle using \pi r^{2} . Radius is half of diameter so the radius is 10.
\pi 10^{2} = 314.1592654
Then multiply the depth to the area of the circle.
314.1592654 x 3 = 942.4777961
Needs answered ASAP
What is the volume of the triangular prism below?
Answer:
172.5 inches cubed
Step-by-step explanation:
Kelly bought 3 bracelets and 4 necklaces. She spent between $39 and $59. Each bracelet costs the same amount. Each necklace costs the same amount. The price of a bracelet is $5. How many dollars was the necklace?
Answer:
1 necklace will therefore cost 34/4 = $8.5
Step-by-step explanation:
She spent between $39 and $59. let us find the average of the amount she spent = 39+59 / 2 = $49.
At an average, she spent $49.
The price of a bracelet is $5 and each bracelet costs the same amount and she bought 3 bracelets = $5 x 3 bracelets each = $15... She spent $15 on the bracelets.
Thus $49 - $15 = amount spent on the 4 necklaces = $34.
4 necklaces cost $34, 1 necklace will therefore cost 34/4 = $8.5
Round your answers to one decimal place, if necessary.
Find the mean and median of these data: 3, 4, 12, 14, 17, 19.
The mean is
The median is 14
Answer:
The mean is 11.5
Step-by-step explanation:
When looking for the mean you add all the given numbers then divide based on the amount of numbers.
3+4+12+14+17+19=69
69/6=11.5
If this helps please mark me as the brainliest
A picture shows the net of the lateral surface of the cone. Which statement about this cone is NOT true?
Answer:
Can you include the picture because i don't know which question you are talking about.
Step-by-step explanation:
someone lmk plzzz tyy
Answer:
y-1 = -(x-2)
Step-by-step explanation:
First find the slope
m = (y2-y1)/(x2-x1)
= (5-1)/(-2 -2)
= 4/-4
= -1
We are using point slope form using the point (2,1)
y-y1 = m(x-x-1)
y-1 = -1(x-2)
y-1 = -(x-2)
y - 4x = 5
8x - 2y = 16
Solve using system of equations
Answer:
No solution
Step-by-step explanation:
Let's solve this system using elimination through addition/subtraction. Multiply the second equation by (1/2), which results in the system
y - 4x = 5
4x - y = 8
--------------
0x + 0y = 13. This is NEVER true. This system of equation has NO SOLUTION.
Kayla is going to tile a 6 foot by 9 foot rectangular section of her bathroom wall with square tiles that measure 3 inches tall and 3 inches wide. How many tiles will she need for her project?
Answer: 864 tiles
Step-by-step explanation:
Rather than calculating the whole area of bathroom and area of one tile, It is quicker and easier to determine how many rows of tiles that will be needed.
Note that 1 feet = 12 inches
Each tile measures 3 inches on each side.
Length: 9 feet = 9 × 12 = 108 inches
Therefore, 108/3 = 36 tiles will fit along the length.
Width: 6 feet = 6 × 12 = 72 inches. Therefore, 72/3 = 24 tiles will fit along the width.
So, (36 × 24) = 864 tiles will be needed.
Answer:
864 tiles
Step-by-step explanation:
2. The base of a circular cylinder has a diameter of 10 yards. The height is 11 yards. What is the surface area of the cylinder, rounded to the nearest tenth? (a) 961.3 yd2 (b) 1131.0 yd2 (c) 502.7 yd2 (d) 747.7 yd2
Answer:
Step-by-step explanation:
surface area=2πrh+2πr²=2πr(r+h)
=2π×5(5+11)
=160π
≈505.7 yd²
