The radius of the cylindrical water bottle can be found using the formula for the volume of a cylinder, which is V = πr^2h, where V is the volume of the cylinder, r is the radius of the cylinder, and h is the height of the cylinder.
Given:
Volume (V) = 158 cm³
Height (h) = 158 cm
π = 3.14
We need to find the radius (r).
Using the formula V = πr²h, we can plug in the given values and solve for r:
158 = 3.14 * r² * 158
First, we will isolate r² by dividing both sides of the equation by (3.14 * 158):
r² = 158 / (3.14 * 158)
Now, cancel out 158 from both sides:
r² = 1 / 3.14
To find the radius (r), we will take the square root of both sides:
r = √(1 / 3.14)
r ≈ 0.564 (rounded to three decimal places)
So, the radius of the water bottle is approximately 0.564 cm.
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Evaluate 5 • (x – 3) when x = 10.
A. 7
B. 35
C. 50
D. 47
Answer:
b. 35
Step-by-step explanation:
10-3 = 7
7x5 = 35
Answer:
B) 35
Step-by-step explanation:
5 • (10-3)
5 • (7)
35
Hope this helps. Pls give brainliest.
Pam and her brother both open savings accounts. Each begin with a balance of zero dollars. For every two dollars that Pam save in her account, her brother save five dollars in his.
Answer:
Ratio [Pam to her brother] = 2:5
Step-by-step explanation:
Given:
Pam saves every two dollar
Her brother saves fives dollar (For every two dollar)
Find:
Ratio [Pam saving and his brothers saving]
Computation:
It is given that if Pam saves $2 her brother saves $5
So,
Ratio [Pam to her brother] = 2/5
Ratio [Pam to her brother] = 2:5
i need help with this
Answer: 8.2 x 10^2
Step-by-step explanation:
help appreciated xx
:)
Answer:
13pts
Step-by-step explanation:
If you're asking how many pints 6 qt and 1 or is then I believe it is 13 pt
Graph y = x2 - 8x + 13
Answer:
Step-by-step explanation:
From the given x^2 - 8x + 13 we can find several points to graph to represent this quadratic function.
The y-intercept is (0, 13) and stems from letting x = 0.
b
The axis of symmetry is x = - -----
2a
-8
Since a = 1 and b = -8, the axis of symmetry is x = - ------- = 4
2(1)
and so the vertex is at (4, 4^2 - 8(4) + 13), or (4, -3)
If you want to go the extra mile, find the roots of the given equation. These are also your x-intercepts. One such intercept is (2. 0).
Plot these points and draw a smooth curve through them.
Hint: the parabolic graph opens up.
I really need the answers to this…. So um :) yeah
Answer:
my brain hurts ;-;
Step-by-step explanation:
there are 28 students in a classroom. the ratio girls to boys 4 to 3. write and solve a proportion to find how many boys are there in the classroom? include labels!!!!
What’s the volume of the figure?
Answer:
4,050 ft^3
Step-by-step explanation:
Separate the figure into a cube and a square pyramid.
Volume of the cube (a^3):
15 x 15 x 15 = 3,375
3,375 ft^3
Volume of the square pyramid (lwh/3):
15 x 15 x 9/3 = 675
675 ft^3
Add the volumes of both figures:
675 ft^3 + 3,375 ft^3 = 4,050
The volume of the whole figure is 4,050 cubic feet.
Hope this helps!
pls answer w work/equation explained sooonnn
Answer:
15.5 in
Step-by-step explanation:
To find diameter from circumference, divide circumference by π
48.67/3.14=15.5
There is an equilateral triangle, ABC, inscribed in a circle with center D. What is the smallest angle you can rotate triangle ABC around D so that the image of A is B?
Answer:
correct answer is "B"...
a rectangle has width that is 2 feet less than the length the arrea of the rectangle is 80 square feet find the dimensions of the rectangle
The dimensions of the rectangle are 10 feet (length) and 8 feet (width).
To find the dimensions of the rectangle with an area of 80 square feet and a width that is 2 feet less than the length,
follow these steps:
1. Let the length of the rectangle be L feet and the width be W feet.
2. According to the given information, W = L - 2.
3. The area of a rectangle is calculated by multiplying its length and width: Area = L × W.
4. Substitute the given area and the relationship between L and W into the equation: 80 = L × (L - 2).
5. Solve the quadratic equation: 80 = L² - 2L.
6. Rearrange the equation: L² - 2L - 80 = 0.
7. Factor the equation: (L - 10)(L + 8) = 0.
8. Solve for L: L = 10 or L = -8 (since the length cannot be negative, L = 10).
9. Substitute L back into the equation for W: W = 10 - 2 = 8.
So, the dimensions of the rectangle are 10 feet (length) and 8 feet (width).
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Ms. Li opened a retirement account with adeposit of $2,500. This account earns 4% simple interest annually. How many years will it take her to earn $500 on her $2,500 deposit?
Answer:
5 years
Step-by-step explanation:
Use the simple interest formula: I = prt
Plug in 500 as I, since that is the amount of interest being earned.
Plug in 2,500 as P and 1.04 as r.
I = prt
500 = (2,500)(0.04)t
500 = 100t
5 = t
So, it will take 5 years to earn $500 on the deposit.
in a lab experiment, a population of 300 bacteria is able to double every hour. which equation matches the number of bacteria in the population after 2 hours
The equation that matches the number of bacteria in the population after 2 hours is \(y = 300 * 2^2\), where y is the number of bacteria and \(2^2\) is the exponential term representing the doubling of the bacteria every hour.
In the lab experiment, the population of bacteria is doubling every hour, so after 2 hours, the number of bacteria will be 2 times the initial number of bacteria for each of the 2 hours, or \(2^2\) times the initial number of bacteria.
So, the equation for the number of bacteria after 2 hours is \(y = 300 * 2^2\), where y is the number of bacteria and 300 is the initial number of bacteria. This equation calculates the number of bacteria in the population after 2 hours by multiplying the initial number of bacteria by 2 raised to the power of the number of hours the bacteria has been doubling, or \(2^2\) in this case.
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on aurora ave the distance between thomas st to denny way is 0.2 miles. what is the distance between these two streets on broad st? show your work below and round your answer to the nearest tenth of a mile.
The distance between Thomas St and Denny Way on Broad St is approximately 0.2 miles (rounded to the nearest tenth of a mile).
To determine the distance between Thomas St and Denny Way on Broad St, we can use the Pythagorean theorem.
Let x be the distance between Thomas St and Denny Way on Broad St. We can draw a right triangle where the hypotenuse is 0.2 miles (the distance between Thomas St and Denny Way on Aurora Ave), and one leg is x (the distance between Thomas St and Denny Way on Broad St). The other leg is the distance between Aurora Ave and Broad St.
Using the Pythagorean theorem, we have:
\(0.2^2 = x^2 + d^2\)
where d is the distance between Aurora Ave and Broad St.
Assuming d is negligible, we can solve for x:
\(x^2 = 0.2^2 - d^2x^2 = 0.2^2x = sqrt(0.2^2) = 0.2\)
Therefore, the distance between Thomas St and Denny Way on Broad St is approximately 0.2 miles (rounded to the nearest tenth of a mile).
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solve question 2, please
The value of x that makes both triangles to be similar is 8 units
What are similar triangles?A triangle is a polygon that has three sides and three angles. Types of triangles are scalene, equilateral, isosceles and right angled triangle.
Two triangles are said to be similar if the ratio of their corresponding sides are in the same proportion. For similar triangles, all their corresponding angles are congruent.
Triangle ABC and triangle GHI are similar, hence:
HJ / AD = HI/AC
substituting:
x/4 = 12/6
x = 8 units
The value of x is 8 units
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Which expression can be used to find the surface area of the following square pyramid?A 16+16+55+55+8816+16+55+55+8816, plus, 16, plus, 55, plus, 55, plus, 88 (Choice B) B 10+10+55+55+8810+10+55+55+8810, plus, 10, plus, 55, plus, 55, plus, 88 (Choice C) C 8 +8+55+55+888+8+55+55+888, plus, 8, plus, 55, plus, 55, plus, 88 (Choice D) D 16+8816+8816, plus, 88
Answer:
4 + 3+3+3+3
Step-by-step explanation:
We add up all the areas to find the surface area
The bottom is
2*2 = 4
The sides are all the same
The area of one side is
A = 1/2 bh = 1/2 (2*3) = 3
There are 4 triangular side
SA = 4 + 3+3+3+3
Answer:
4 + 3 + 3 + 3 + 3
Step-by-step explanation:
The base is a square.
Find area of a square.
2² = 4
Find the area of one triangle.
2 × 3 × 1/2 = 3
There are 4 triangles.
3 + 3 + 3 + 3
Add all the areas:
4 + 3 + 3 + 3 + 3
£28 call-out charge+16 for each half-hour he spends on the pair
The total cost of the repair job is determined by adding the fixed call-out charge to the additional charge for each half-hour spent on the repair. The exact amount will depend on the specific duration of the repair job.
The £28 call-out charge refers to the fixed fee that is charged regardless of the amount of time spent on the repair job. This means that even if the repair takes less than half an hour, you will still need to pay this fixed fee.
The additional charge of £16 for each half-hour he spends on the pair means that for every 30 minutes spent working on the repair job, an extra £16 will be added to the total cost.
To calculate the total cost of the repair job, you need to consider the call-out charge and the time spent on the repair.
For example, let's say the repair took 1 hour and 15 minutes.
First, calculate the number of half-hours spent on the repair. In this case, it would be 1 hour (2 half-hours) plus an additional 15 minutes, which is less than half an hour. So the total number of half-hours spent on the repair would be 2.
Next, multiply the number of half-hours by the additional charge of £16. In this case, 2 half-hours multiplied by £16 equals £32.
Finally, add the call-out charge of £28 to the additional charge of £32. The total cost of the repair job would be £60 (£28 + £32).
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A survey asked high shcool students to pick their favorite subject. THe results are shown in the table
Answer:
Sorry there is no table or picture to show the subjects ;-;
Step-by-step explanation:
Answer:
Step-by-step explanation:
35
00:00 Use the numbers shown to complete the table for each value of m. Numbers may be used once, more than once, 26 10 20 2(3m + 7) 6m + 14 2
we have
2(3m+7)
so
For m=1
substitute
2(3*1+7)
2(1
help plzzzzzzzzzzzzzz
Answer:
a) 20ft
Step-by-step explanation:
just multiply the model length and the scale factor
The perimeter of a square is 80 minus 64 y units. Which expression can be used to show the side length of one side of the square?
The perimeter of a square is 80 minus 64 y units. Which expression can be used to show the side length of one side of the square?
Answer · 1 vote
Perimeter of the square80-64yA square has 4 sides, so divide the perimeter by 4:(80-64y) / 480 divided by 4 is 2064y divided by 4 is 16yOne side of the ..
Answer:
Its C
Step-by-step explanation:
took the test
OA ⊥ OC start overline, O, A, end overline, \perp, start overline, O, C, end overline \qquad m \angle BOC = 6x - 6^\circm∠BOC=6x−6 ∘ m, angle, B, O, C, equals, 6, x, minus, 6, degrees \qquad m \angle AOB = 5x + 8^\circm∠AOB=5x+8 ∘ m, angle, A, O, B, equals, 5, x, plus, 8, degrees Find m\angle BOCm∠BOCm, angle, B, O, C:
Answer:
42 degrees.
Step-by-step explanation:
\(\angle BOC+\angle AOB=90^\circ $(Complementary Angles)\\6x - 6^\circ+5x + 8^\circ=90^\circ\\6x+5x-6^\circ+ 8^\circ=90^\circ\\11x+ 2^\circ=90^\circ\\11x=90^\circ-2^\circ\\11x=88^\circ\\$Divide both sides by 11\\x=8^\circ\\$Therefore:\\m\angle BOC=6x - 6^\circ\\=6(8) - 6^\circ\\=48-6\\=42^\circ\)
The measure of angle BOC is 42 degrees.
Answer:
BOC = 42º
Step-by-step explanation:
Angle BOC is equal to 42 degrees, due to these steps -
1. Create the equation which will result to be -
6x - 6 + 5x + 8 = 90
2. Simplify by adding variables and numbers together -
11x + 2 = 90
3. Subtract 2 from both sides to get -
11x = 88
4. Divide by 11 on both sides to get-
x = 8
5. Substitute x in angle BOC as 8 to get this equation -
6(8) - 6
6. Solve
48 - 6 =
42º
Your final answer for angle BOC is 42º!
If "a" is a positive integer, what is the mean of the data below?
{2a, 3a, 3a, 8a}
Answer:
mean = sum of all element / number of elements
mean = (2a + 3a +3a +8a) / 4
mean = 16a/4
mean =4a
Step-by-step explanation:
factorize: (2a+b)^3+(a+2b)^3
Answer:
9(a+b) x (a²+ab+b²)
Step-by-step explanation:
expand the brackets collect like terms remove the brackets collect like terms factorise reorder the terms multiplyget those points sis
Answer:
thanks
Step-by-step explanation:
Which expression is equivalent to r^9 over r^3
Answer:
r^6
Step-by-step explanation:
In the laws of indices, it states that for division of indices of the same bases, there is a subtraction of indexes or powers.
For example, a^x/a^y = a^(x-y)
Therefore, r^9/r^3 = r^(9-3) = r^6
0.1 + 0.3 please help on this.
Answer:
0.4
Step-by-step explanation:
\(0.1 + 0.3 = 0.4\)
Answer:
0.4
Good Luck!!!
Evaluate and simplify each square root(simplest form). To create a square root symbol type sqrtt.
La maestra de Ciencia y Tecnología solicito a sus estudiantes que trajeran leche de vaca para elaborar yogur. Andrés trajo 2² litros, Bruno trajo 13/4 litros, Carlos trajo 1, 16 litros y Daniel 1,3 litros. ¿Qué estudiante trajo más leche? ¿Y quién menos?
Andres brought the most milk, and Carlos brought the least milk.
How to find the amount of milk bought ?To find out the student who bought the most milk, you need to convert the liters decimals so that they can be compared evenly.
Andrés brought 2²
= 2 x 2
= 4 liters of milk.
Bruno brought 13/4:
= 13 / 4
= 3.25 liters of milk.
Carlos bought 1. 16 liters and Daniel bough 1. 3 liters.
This shows that Andres bought the most milk and Carlos bought the least amount.
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On this sailboat the measure of angle A is 46 and the measure of B is 51. What kind of triangle is this?
A.isosceles acute triangle
B.scalene acute triangle
C.scalene obtuse triangle
D.isosceles obtuse triangle
The kind of triangle in the image is a: B. scalene acute triangle.
What is a Scalene Acute Triangle?A scalene acute triangle is a type of triangle that has three different interior angle measures that are less than 90 degrees.
The third angle of the given triangle = 180 - 51 - 46 = 83°.
This means that the three angles of the triangle are unequal and less than 90°.
Therefore, the kind of triangle in the image is a: B. scalene acute triangle.
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