Answer:
V = 393.25π ≈ 1234.81 ft³
Step-by-step explanation:
Volume of a cylinder:
V = πr²h
r = 5.5 ft
h = 13 ft
V = π (5.5)² (13)
V = π (30.25)(13)
V = 393.25π ≈ 1234.81 ft³
Answer:
1235.43 ft³
Step-by-step explanation:
Volume of the cylindrical water tank=πr²h
Where r=5.5,h=13
Volume=(3.14)(5.5)²(13)
=(3.14)(30.25)(13)
=1235.43 ft³
Which are the side lengths of a right triangle? Check all that apply. 3, 14, and StartRoot 205 EndRoot 6, 11, and StartRoot 158 EndRoot 19, 180, and 181 3, 19, and StartRoot 380 EndRoot 2, 9, and StartRoot 85 EndRoot
Answer:
a,c,e
Step-by-step explanation:
Correct me if I'm wrong!
Thank you
Tisa B Sora
The possible side lengths are:
3, 14, and √205
19, 180, and 181
Options A and C are the correct answer.
What is the Pythagorean theorem?Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
We have,
In a right triangle:
The square of the hypotenuse is equal to the sum of the other two sides.
Now,
We can apply the Pythagorean theorem in each case:
1)
3, 14, and √205
Hypotenuse² = 3² + 14²
Hypotenuse² = 9 + 169
Hypotenuse² = 205
Hypotenuse = √205
True.
2)
6, 11, and √158
Hypotenuse² = 6² + 11²
Hypotenuse² = 36 + 121
Hypotenuse² = 157
Hypotenuse = √157
Not possible
3)
19, 180, and 181
181² = 180² + 19²
181² - 180² = 19²
32761 - 32400 = 361
361 = 361
True.
4)
3, 19, and √380
Hypotenuse² = 3² + 19²
Hypotenuse² = 9 + 361
Hypotenuse² = 370
Hypotenuse = √370
Not possible
5)
2, 9, and 85
Hypotenuse² = 2² + 9²
Hypotenuse² = 4 + 81
Hypotenuse² = 85
Hypotenuse = √85
Not possible
Thus,
3, 14, and √205
19, 180, and 181 are possible side lengths.
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What is 0.25% as a fraction or mixed number in simplest form.
Answer:
The answer is one fourth
Answer:
1/4
Step-by-step explanation:
0.25 is the same as 25/100 in simplest form that is 1/4 because you can divide both the numerator and denomenator by 25
A small island has a roughly rectangular shape. It is 18.2 kilometers wide and 28.5 kilometers long. Rising water levels are reducing the width by 1.2% each year and the length by 0.8% each year.
Use the drop-down menus to choose or create functions to model:
A. The width of the island over time, w(t)
B. The length of the island over time, l(t)
C. The area of the island over time, a(t)
Answer:
Part A) [tex]W(t)=18.2(1.012)^t[/tex]
Part B) [tex]L(t)=28.5(1.008)^t[/tex]
Part C) [tex]A(t)=518.7(1.020096)^t[/tex]
Step-by-step explanation:
we know that
The equation of a exponential growth function is equal to
[tex]y=a(1+r)^x[/tex]
where
a is the initial value
r is the rate of change
Part A) Create functions to model :
The width of the island over time, w(t)
we have
[tex]W(t)=a(1+r)^t\\[/tex]
where
[tex]a=18.2\ km\\r=1.2\%=1.2/100=0.012[/tex]
substitute
[tex]W(t)=18.2(1+0.012)^t[/tex]
[tex]W(t)=18.2(1.012)^t[/tex]
Part B) Create functions to model :
The length of the island over time, l(t)
we have
[tex]L(t)=a(1+r)^t\\[/tex]
where
[tex]a=28.5\ km\\r=0.8\%=0.8/100=0.008[/tex]
substitute
[tex]L(t)=28.5(1+0.008)^t[/tex]
[tex]L(t)=28.5(1.008)^t[/tex]
Part C) Create functions to model :
The area of the island over time, a(t)
we have
[tex]W(t)=18.2(1.012)^t[/tex]
[tex]L(t)=28.5(1.008)^t[/tex]
Remember that the area of a rectangle is given by
[tex]A=LW[/tex]
substitute the given values
[tex]A(t)=(28.5(1.008)^t)(18.2(1.012)^t)[/tex]
[tex]A(t)=(28.5*18.2)(1.008*1.012)^t)[/tex]
[tex]A(t)=518.7(1.020096)^t[/tex]
Answer:
Here's the answer ;)
Which value can be added to the set below without changing its mean?
{4, 10, 14, 18, 22,22
Answer:
15
Step-by-step explanation:
Mean value of the set = 4+10+14+18+22+22/6
= 15
By adding the mean value to a set, its mean wouldnt change. Therefore, 15 should be added to the set
Write the fraction 520 in simplest form.
Answer:
you would start off with putting 520 over 100 and then you would simplify it down and it becomes 26/5
Triangle A B C is shown. Angle A C B is a right angle. The length of hypotenuse A B is 12 centimeters, the length of C B is 9.8 centimeters, and the length of A C is 6.9 centimeters.
Which expressions can be used to find m∠BAC? Select three options.
To find the measure of angle BAC in the given right triangle ABC, we can use the trigonometric function sine.
To find the measure of angle BAC in the given right triangle ABC, we can use the trigonometric function sine. The sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. In this case, we know that the length of the side opposite angle BAC is 6.9 centimeters and the length of the hypotenuse is 12 centimeters. Therefore, we can use the equation sin(BAC) = opposite/hypotenuse to find the measure of angle BAC.
sin(BAC) = 6.9/12
BAC ≈ sin-1(6.9/12)
Using a calculator, we can find that BAC ≈ 33.24°.
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please help. its very easy
Step-by-step explanation:
[tex]35\% \: of \: 40 \\ = \frac{35}{100} \times 40 \\ = 3.5 \times 4 \\ = 14[/tex]
Hence 14 students prefer American food.
Option B is the correct answer.
What is the answer for this equation?
7(8h+2)=
Answer:
56h+18
Distribute the 7 inside the paranthesis
flagpole casts a shadow that is 50 feet long. At the same time, a woman who is five feet four inches tall casts a shadow 40 inches long. How tall is the flagpole
Answer:
960 in (or 80 ft)
Step-by-step explanation:
First, we should convert all of the feet measurements to inches so we have equal units of measurements:
50 ft = 600 in
5 ft 4 in = 64 in
40 in = 40 in
Now we can solve this problem with a simple proportion:
h / 600 = 64 / 40
600 * 64 = 40h
38400 = 40h
960 in = h
***also h = 80 ft
By setting up a proportion of corresponding sides from similar triangles, we find that the flagpole's height is roughly 80 feet.
Explanation:This is a problem of similar triangles. The flagpole and its shadow form one triangle, and the woman and her shadow form a smaller, similar triangle. Since the triangles are similar, the ratio of corresponding sides should be equal. In this case, we have:
height of the flagpole / shadow of the flagpole = height of the woman / shadow of the woman
We can plug the provided values into this equation:
height of the flagpole / 50 feet = 5.33 feet / 3.33 feet
To solve for the height of the flagpole, we cross-multiply and divide, giving us:
height of the flagpole = (5.33 feet / 3.33 feet) * 50 feet
Following that logic, the height of the flagpole is approximately 80 feet tall.
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Emily has a coupon for 20% off of her purchase at the store. she finds a backpack that she likes on the discount rack. it’s original price is $60 but everything on the rack comes with the 30% discount. Emily says 30% and 20% make 50% so I will cost $30 is Emily correct explain what price will Emily pay for the backpack
Answer:
$38.40 new price. Usual coupons give 20% only off the sale price if this is the case for the backpack you would need to show both answers one of 50% if both coupons allowed. Second workings would be your answer 30% of $60 = $18 and 20% further =$3.60 $18+$3.60= $21.60 full 20% discount on store 30% discount.
Therefore you can see $60-21.60 = $38.40 new price.
This is $21.60 discount and appears to be 36.8%
Step-by-step explanation:
Cyclone filled 250 bottles of water to give people in the park. He handed out 40 bottles each hour. He had 10 bottles left.How many hours has Cyclone been at the park?
Answer:
it took Cyclone 6 hours in handing the bottles
Step-by-step explanation:
If cyclone had 10 bottles left after handing 40 bottles per hour = 250 - 10 = 240bottles
which means cyclone handed 240 bottles.
Therefore, if he handed 40bottle each hour and 240 bottles were handed all through. So the amount of hours cyclone used in handing the bottles will be 240 / 40 = 6 hours
What is an equivalent expression to 56m+21n?
Final answer:
An equivalent expression to 56m+21n is found by factoring out the greatest common divisor, which is 7, resulting in the simplified expression 7(8m + 3n).
Explanation:
The question asks for an equivalent expression to 56m+21n. To find an equivalent expression, we look for common factors that both terms in the expression have. In this case, both 56 and 21 are divisible by 7. Therefore, we can factor out 7 from both terms to simplify the expression.
The factored form of the expression is:
7(8m + 3n)
This shows that 7(8m + 3n) is an equivalent expression to 56m+21n, simplifying the original expression by finding common factors.
something + something = 48
something * something = -40
Answer:
Hello there!
So, your question is
"something + something = 48"
and
"something * something = -40"
Since you didn't really give that much specific details, and you could correct me on this later, I'd say for the first one it's
47 + 1 = 48
As for the second one, it could be
-5 * 8 = - 40
OR
5 * -8 = -40
both ways are correct.
Step-by-step explanation:
Hope this helps! If you have more instructions on this question, please let me know! Instructions are very important for MATH, cause even I mess up if the instructions are not clear. :)
- immaback2x
Answer:
Hi
Step-by-step explanation:
can someone plz help me find the riddle.
Why would a prism beat a sphere in a competition??
A prism would beat a sphere in a competition because a prism has more sides and angles to outmaneuver the sphere, which is a single-sided shape with no angles.
To understand the riddle, one must consider the properties of both a prism and a sphere. A prism is a polyhedron with two congruent and parallel faces (called bases), and its sides are parallelograms.
The number of sides a prism has depends on the shape of its base. For example, a triangular prism has five faces (two triangular bases and three rectangular sides), while a hexagonal prism has eight faces (two hexagonal bases and six rectangular sides).
On the other hand, a sphere is a perfectly round geometrical object in three-dimensional space that is the surface of a ball (viz., the geometric object consisting of all points in three-dimensional space at a distance r from a central point). Unlike a prism, a sphere has no edges or vertices, and it has only one surface with no sides.
In a competition where maneuverability and the ability to approach from different angles are advantageous, a prism would have more options to outmaneuver a sphere. A prism can present multiple faces to the sphere, potentially confusing or disorienting it, while the sphere, being uniform in all directions, has no such advantage. The prism's angles and edges could also be used strategically to deflect or redirect the sphere, giving the prism a competitive edge.
Therefore, the riddle plays on the geometric properties of the two shapes to suggest that in a hypothetical competition, the prism's multiple faces and angles would allow it to outperform the sphere, which has a single continuous surface and no angles to leverage.
A rectangle has a width of 28
centimeters and a length of
45 centimeters. What is the
length, in centimeters, of its
diagonal?
Answer:
diagonal = 53 cm
Step-by-step explanation:
(diagonal)² = (length)²+ (width)²
= (45)² + 28²
= 2025 + 784 =2809
diagonal = √2809 =√53*53 = 53 cm
Answer:53
Step-by-step explanation:
How is adding two negative fractions similar to adding two negative integers
Answer:
I guess cuz... when u have same signs u add and keep..and if different signs u subtract.. and u keep the number of the bigger number
Adding two negative fractions follows the same principle as adding two negative integers: simply add the absolute values and apply a negative sign to the result. Understanding the basic rules of addition such as 'minus a minus makes a plus' helps with this process. This principle is consistent across various types of numbers, including complex numbers and vectors.
Adding two negative fractions is similar to adding two negative integers because in both cases, the sum will also be negative. Just like adding negative integers, when adding negative fractions, one simply adds the absolute values of the numerators while keeping the common denominator and then assigns a negative sign to the result. For instance, adding −½ and −¼, first find a common denominator (let's say 4), which turns the fractions into −1/4 and −2/4, then add the numerators to get −3/4, maintaining the negative sign.
Understanding the basic rules of number operations, such as the fact that when two positive numbers add, the sum has a positive sign, and when two negative numbers add, the sum has a negative sign, assists our intuition in addressing both negative integers and negative fractions. Similarly, subtraction of fractions follows the same principle as integers: by changing the sign of the number to be subtracted and then adding as per the normal rules.
The same principles used for addition of integers apply to the addition of negative fractions, showing that basic arithmetic operations are consistent across different types of numbers. This consistency extends beyond integers and fractions, as observed in complex numbers and vector addition, which also follow similar addition rules by combining the respective parts separately.
The vertex form of the equation of a parabola is y = 2(x + 4)2 - 21.
What is the standard form of the equation?
Answer:
y = 2x^2 + 16x + 11
Step-by-step explanation:
2(x + 4)^2 - 21
2(x + 4)(x + 4) - 21
2(x^2 + 8x + 16) - 21
2x^2 + 16x + 32 - 21
2x^2 + 16x + 11
Answer:
y = 2x^2 + 16x + 11
the other answer explains it much better
Find the Value of A. a/15 = 5
Answer:
A/15=5
so multiply 15*5
you would get 75
therefore a=75
Step-by-step explanation:
Step-by-step explanation:
a/15=5
rearrange to find a
a=15*5
so 15*5 is 75
a=75
Please answer and explain (surface area)
Answer:
475 cm^2
Step-by-step explanation:
Base: 6 × 17 = 102
Left-most face: 6 × 11 = 66
Top face: 6 × 20 = 120
Front/Back faces: 11 × 17 = 187
Add: 102 + 66 + 120 + 187 = 475
graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 3, negative 1, and 3
Which of the following functions best represents the graph?
f(x) = (x + 3)(x − 3)(x − 9)
f(x) = (x + 3)(x − 3)(x + 9)
f(x) = (x + 3)(x − 3)(x − 1)
f(x) = (x + 3)(x − 3)(x + 1)
Answer:
The best is f(x) = (x + 3)(x − 3)(x + 1).
Step-by-step explanation:
The coefficient of x^3 will be positive because of where the graph rises and falls.
As one of the x intercepts is negative 3 one of the factors will be (x + 3).
By the same reasoning the other 2 factors will be (x - 3) and (x + 1).
Answer:
D is correct!
Step-by-step explanation:
I am with the same program.
dard
3. A soda pop company is running a bottle cap
contest where "WINNER" is printed
underneath random bottle caps. If the
probability of getting a winning bottle cap is
6 in 40, what is the probability of not winning?
Answer:
34 in 40
Step-by-step explanation:
6 in 40 is the probability of winning, so
34 in 40 is the probability of not winning.
simply do 40 - 6.
This answer can also be written as
[tex] \frac{34}{40} [/tex]
or 85%
The probability of not winning a bottle cap is 34/40.
What is probability?Probability is a field in mathematics that deals with the possibility of how an event is likely to occur or true.
The probability of favorable outcomes (winning) = 6The probability of unfavorable outcomes (not winning) = 40 - 6 = 34The total possible outcome = 40The probability of not winning = 34/40
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Dexter has a gift card for $20.00 to an electronics store. He also has a coupon for 25% off his entire purchase, so he will be paying 75% of the total cost. He plans to buy a video game for $10.00 and batteries for $2.00. Select the equation that represents how much money will be left on his gift card after his purchases if x represents his remaining balance.
What is the equation that represents his remaining balance?
x = 20 + 0.75(10 + 2)
x = 20 – 0.75(10 + 2)
x = 20 + 0.25(10 + 2)
x = 20 – 0.25(10 + 2)
Answer: X=20-0.75(10+2)
Please mark brainliest!
Step-by-step explanation:
It would be B x=20-0.75(10+2)
because 20 is the amount of the gift card and 0.75 is the percent you will be paying so you subtract the total of 10 and 2 and subtract from 20 and thats the amount you have left!
Answer:
b. x = 20 – 0.75(10 + 2)
Step-by-step explanation:
I just know
--
Brianna Edwards
e d g e n u i t y things
Thanks and remember to always vote brainliest
A lock consists of 3 dials, where each dial has 4 letters. What is the probability of guessing the right combination in one try?
A.1/7
B.1/12
C.1/24
D.1/64
About 8% of the U.S. population catches the flu each season. Assuming everyone has equal probability of catching the flu, about what are the odds of catching the flu in a given season?
A.1 in 8
B.1 in 12
C.1 in 18
D.1 in 80
Kay has an 80% probability of making a free-throw in basketball, and each free-throw is independent. Kay gets to take 2 free-throws, and must make both to win the game. What is the probability that Kay's team will win the game?
A.64%
B.80%
C.88%
D.160% (so 100%)
Answer:
D.1/64
B.1 in 12
A.64%
Step-by-step explanation:
Each dial has 4 letters and only one of them is correct; the probability to choose the correct one is then 1/4. Selecting a letter in each dial is independent, then the probability of guessing the right combination in one try is 1/4 * 1/4 * 1/4 = 1/64
8% means a probability of 8/100 or an odds of 8 in 100. Dividing each term by 8 we get 8/8 = 1 in 100/8 = 12.5, which can be rounded to 1 in 12
80% means a probability of 80/100 = 0.8. Given that the 2 free-throws are independent, the probability that he makes both is 0.8*0.8 = 0.64 or 64%
The population of a town can be represented by the formula P (t) = 541 + 350, where P(t) represents the population, in thousands, and t represents the time, in
years, since 1970 (note: t = 0 for 1970).
A) what are t values when it is 1985 and 1990. B) what is p(t), when t=25? Explain the meaning in words.
Answer:
part A) see the explanation
part B) The population in 25 years since 1970 will be one million seven hundred thousand people (1,700,000)
Step-by-step explanation:
The correct equation is
[tex]P(t)=54t+350[/tex]
Part A) what are t values when it is 1985 and 1990.
we have
[tex]P(t)=54t+350[/tex]
This is the linear equation in slope intercept form
[tex]m=54\\b=350[/tex]
where
P(t) ----> is the population, in thousands
t ----> the time, in years, since 1970
Remember that
t = 0 for 1970
so
For the year 1985
[tex]t=1985-1970=15\ years[/tex]
For the year 1990
[tex]t=1990-1970=205\ years[/tex]
Part B) what is p(t), when t=25?
For t=25 years
substitute the value of t in the linear equation
[tex]P(t)=54(25)+350=1,700[/tex]
Remember that the population is in thousands
That means
The population in 25 years since 1970 will be one million seven hundred thousand people (1,700,000)
what is the equation of the line that passes through the points (0,4) and (3,-2)
Answer:
y= -2x + 4
Step-by-step explanation:
-2 - 4 = -6
3 - 0 = 3
-6 ÷ 3 = -2
-2x is the slope.
3 × -2 = -6
-2 - -6 = 4
4 is the y intercept
please help
5 points up for grab
Answer:
197
Step-by-step explanation:
kk here we go
find the area of each side so:
5 x 5 = 25
5 x 5 = 25
9 x 5 = 45
6.4 x 5 = 32
trapezoid = 5 + 9 = 14
and then divide that 14 by 2 which is 7. multiply by height which is 5 again
that equals 35
double that bc there are 2 trapezoids = 70
add all together
197
there ya go:)
What does the value of x have to be so that
(x,-7) and (-1,4) have a slope of 11/4 between them?
Answer:
x=-5
Step-by-step explanation:
slope=m=11/4
(x, - 7) x1 =x, y1 =-7
(-1,4) x2=-1, y2 =4
m=(y2-y1) /(x2-x1)
m=(4-(-7))/(-1-x)
11/4=(4+7)/(-1-x)
11/4=11/(-1-x)
then 4=-1-x,
-x=4+1
-x=5
x=-5
Need the response for this please help
Answer: it is important to keep both side of the equation balance while solving because, an equality sign is used which means, the right hand side is equal to the left hand side, and if the equation isn't balance we won't be able to get the correct answer for the missing variable.
We use greater than (>), less than (<) and greater than and equal to=> and less than and equal to <=
Step-by-step explanation:
Which shows all the values of x that make the rational expression undefined? x = 6 x = 7 x = –6 or x = 6 x = –7 or x = 7
The rational expression is given by:
[tex]E=\frac{2x^2-72}{5x^2-245} \\ \\ Factor \ out: \\ \\ E=\frac{2(x^2-36)}{5(x^2-49)} \\ \\ E=\frac{2(x-6)(x+36)}{5(x-7)(x+7)} : \ \ \ \ a^2-b^2=(a-b)(a+b)[/tex]
The denominator can't be zero, therefore:
[tex](x-7)(x+7)\neq 0 \\ \\ \\ Thus: \\ \\ \boxed{x\neq 7 \ and x \neq -7}[/tex]
Finally, the values of x that make the rational expression undefined are
x = 7 and x = -7
Answer:
x = 7 and x = -7
Step-by-step explanation:
Got it right on edge 2021
I got a 100.
Polygon ABCDEF is a regular hexagon. Find the perimeter of the polygon. Round to the nearest hundredth. Round to give final answer only.
Answer:
12√2 ≈ 16.97
Step-by-step explanation:
Points A and B are on grid lines. The difference B-A is (2, 2), so the distance formula will tell you the length of that segment is ...
√(2²+2²) = 2√2
The regular hexagon has 6 sides all the same length. The perimeter is the sum of those lengths, so is ...
6 × 2√2 = 12√2 ≈ 16.97 . . . . units