Answer:
141
Step-by-step explanation:
We need to first find the volume of the cannonballs and then, divide the volume of the closet by the volume of the cannonballs.
The radius of the spherical cannonball is 0.75 feet.
The volume of a sphere is:
[tex]V = \frac{4}{3} \pi r^3[/tex]
where r = radius
Therefore, the volume of the cannonballs is:
[tex]V = \frac{4}{3} * \pi * 0.75^3\\\\V = 1.77 ft^3[/tex]
Therefore, the number of cannonballs that can fit the closet is:
250 / 1.77 = 141.24
Since the number is a maximum and it must be a whole number, the number of cannonballs that can fit the closet is 141.
In triangle ABC points M and N lie on sides AB and BC, respectively such that MN∥ AC . Segments AN and CM intersect at point K and AK = KC. Prove that △ABC is isosceles.
Answer:
Step-by-step explanation:
An isosceles triangle has two equal sides and two equal base angles.
Given that : AK = KC and MN∥ AC
ΔMNB is similar to ΔACB (congruence property)
ΔANB = ΔANC (SAS congruence property)
ΔCMB = ΔCMA (SAS congruence property)
[tex]\frac{AB}{BN}[/tex] = [tex]\frac{AC}{CN}[/tex] (Angle bisector theorem)
So that:
<BAC = <ACB (base angle property of an isosceles triangle)
/AB/ = /BC/ (side property of an isosceles triangle)
Therefore, ΔABC is an isosceles triangle.
Mel slides down waterslide A, and Victor slides down waterslide B. After 2 seconds, Mel was 50 feet in the air, and after 5 seconds, she was 35 feet in the air. After 1 second, Victor was 60 feet in the air, and after 4 seconds, he was 50 feet in the air. Who was descending at a faster average rate?
In a six-question multiple-choice test, there are four possible answers for each question. For a person who guesses at each question, what is the expected number of correct answers?
Answer:
idk
Step-by-step explanation:
if not i would help sorry
Answer:
1 answer. (possibly 2)
Step-by-step explanation:
There's [tex]\frac{1}{4}[/tex] chance they get the correct answer for a question.
That means if they answer 4 questions, they can expect 1 answer to be correct. If they answer 6 questions, they can expect 1.5 answers to be correct but you can't have 0.5 of an answer so they can expect 1 question answered correctly.
What is the area of this figure? Use 3.14 for pi.
A. 4.5 mm2
B. 9 mm2
C. 11.56 mm2
D. 18.61 mm2
Answer:
Step-by-step explanation:
area of triangle = 1/2 * base * height = 1/2 * 9 = 9/2
area of semicircle = 22/7 * {3 root 2 / 2}^2 = 22/7 *18 / 4 = 22/7 *9/2 = 198/14=99/7
area of figure = 99/7 + 9 /2 =18.6mm2
mark me as the brainliest
Answer:
area of figure= area of semi circle + area of triangle
area of semi circle= 1/2πr²
1/2×3.14×2.12×2.12
1/2×14.11
= 7.06
area of triangle = 1/2×base×height
but I am going to use the Pythagoras theorem to find the its height
= hypotenus² = base²+height²
3²=2.12²+h²
9=4.5+h²
9-4.5=h²
√4.5=√h²
h= 2.12
so area of triangle= 1/2×4.24×2.12
=4.5
area of figure = 70.6+4.5
= 75.1mm²
hope it helps even if its not correct just wanted to try
pls help it’s due at 9am and i need the work too
Answer for 1. 72
Answer for 2.536
Answer for 3.195
Simplify, using the distributive property and then combining like terms.
5(3a+b)−2(3a+b)
The answer is 9a+3b
please see the attached picture for full solution
Hope it helps...
Good luck on your assignment...
Answer:
3(3a+b)
Step-by-step explanation:
use the distributive property:
15a+5b-6a-2b
combine like terms:
9a+3b:
if you need you can factor:
3(3a+b)
What’s 6 times 6 divided by 2 plus 2
Answer: 20
Step-by-step explanation:
Amy read 42 pages from her 137 page magazine. She will spend 10 days reading the same number of pages each day until she finishes. Estimate how many pages Amy will need to read each day.
Answer:
Amy will need to read 1 page each day.
Step-by-step explanation:
Total number of page of the magazine = 137 pages
Read pages of the magazine = 42 pages
Remaining pages to be read = 137 pages - 42 pages = 95 pages
She spends 10 days reading the same number of pages each day until she finishes.
The number of pages read in each of the 10 days = 95 pages / 10 days
= 9.5 pages
In 10 days Amy reads 9.5 pages
In a day she reads ?
10 days -----------> 9.5 pages
1 day ----------------> ?
= 0.95 page
approximately 1 page per day
Thus, Amy will need to read 1 page each day.
Please answer quickly!!!
Answer:
3.5 min
Step-by-step explanation:
A square tile measures 20cm by 20cm. A rectangular tile is 3cm long and 2cm narrower than the square tile what is the difference in area between the two tiles
Answer:
346 cm²
Step-by-step explanation:
Area of square:
Area = [tex]Length*Length[/tex]
A = 20*20
A = 400 cm²
Area of rectangle:
Length = 3 cm
Width = 20-2 = 18 cm
Now, The Area:
Area = [tex]Length * Width[/tex]
Area = 3 * 18
Area = 54 cm²
Now, The difference in their areas:
=> 400-54
=> 346 cm²
Answer:
hiya 13 more points
Step-by-step explanation:
A jewelry store received 16 inches long, 10 inches wide, 12 inches high. The package contains 1-inch cube that each hold one ring. How many rings did the jewelry store receive? Explain how you found your answer.
Answer:
1920 rings
Step-by-step explanation:
We need to simply find the volume of the package and the volume of the cube and then divide the volume of the package by the volume of the cube.
The package is a rectangular prism. The volume of a rectangular prism is:
V = L * W * H
where L = length
W = width
H = height
The volume of the package is:
16 * 10 * 12 = 1920 [tex]in^3[/tex]
The volume of a cube is:
V = L^3
where L = length of side
The volume of the cube is:
V= 1^3 = 1 [tex]in^3[/tex]
The number of rings the jewelry store received is:
1920 / 1 = 1920 rings
Please tell me the answer for
Factorise 15p square - 7q square
Answer:
I do not think you can simplify it any further
Step-by-step explanation:
If you mean 15p squared - 7 q squared
Because they have different variables; p and q cannot be combined unless it is multiplication or division.
Which is the ordered pair for the point on the x-axis that is on the line parallel to the given line and through the given point (-6,10)
Answer:
Option (1). (6, 0)
Step-by-step explanation:
The given question is incomplete; here is the complete question.
Which is the ordered pair for the point on the x-axis that is on the line parallel to the given line and through the given point (–6, 10)?
(6, 0)
(0, 6)
(−5, 0)
(0, −5)
Line in orange color is passing through two points (-8, 6) and (4, -4)
Slope of this line = [tex]\frac{\triangle y}{\triangle x}[/tex]
= [tex]\frac{6+4}{-8-4}[/tex]
= [tex]-\frac{10}{12}[/tex]
= [tex]-\frac{5}{6}[/tex]
Other line parallel to this line will have the same slope 'm' = [tex]-\frac{5}{6}[/tex]
Parallel line passes through a point (-6, 10).
Let the other point through which the parallel line passes is (a, b)
Now, [tex]-\frac{5}{6}[/tex] = [tex]\frac{10-b}{-6-a}[/tex]
-5(-a - 6) = 6(10 - b)
5a + 30 = 60 - 6b
5a = -6b + 60 - 30
5a = -6b + 30
a = [tex]-\frac{6}{5}b+6[/tex]
By satisfying with all the options we find only (6, 0) satisfy this equation.
6 = [tex]-\frac{6}{5}(0)+6[/tex]
6 = 6
Therefore, (6, 0) is the other point lying on the parallel line.
Option (1) will be the answer.
Answer:
Step-by-step explanation:
The answer was (6,0) I just got it right on my assignment
What is the slope of the line that passes through (2, 1), (0, 0)?
The answer is 1/2
please see the attached picture for full solution
hope it helps
Good luck on your assignment
Which statements are true of functions? Check all that apply.
All functions have a dependent variable.
All functions have an independent variable.
The range of a function includes its domain.
A vertical line is an example of a functional relationship.
A horizontal line is an example of a functional relationship.
Each output value of a function can correspond to only one input value.
Intro
Answer and Step-by-step explanation:
To get this answer you need to understand what a function is, a function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output. If this is false, this is NOT a function. So, knowing that, the correct answers are, All functions have a dependent variable, All functions have an independent variable, and A horizontal line is an example of a functional relationship. So this 1st, 2nd, and 5th options.
Hope this helped you out! Have a wonderful day!
What is the measure of angle B?
60 degrees, because it's an equilateral triangle, as you can tell because the sides are all the same length.
O proprietário de uma lanchonete descobriu que na produção do hambúrguer comum gasta R$ 1,25 de material em cada unidade, além disso, tem um gasto fixo de R$ 97,00 por conta de gás e outros materiais. Qual a função que representa o custo (C) total na produção dos hambúrgueres em função da quantidade produzida (x)
Answer:
C(x) = 97 + 1,25x
Step-by-step explanation:
A função (C) que representa o custo total em função do número de hambúrgueres produzidos (x) contém duas partes: uma constante referente ao custo fixo de R$ 97,00, e uma variável referente ao custo de R$ 1,25 por hambúrguer para "x" hambúrgueres. A função C(x) é:
[tex]C(x) = 97 + 1,25x[/tex]
Mrs. Sara has $18 deducted yearly from her checking account for her gym membership. What integer represents the change in her account for a year of gym membership?
1.$18
2.$36
3.$180
4.$216
Answer:
The correct amount is $18
Step-by-step explanation:
The change in her checking account here refers to a reduction in balance due to a deduction made for a gym membership of $18 per year.
Integer, as we know, is a whole number, not a fraction.
In all fairness, the integer will indicate the change in her checking account due to her gym membership payment is $18, the first option out of the multiple choices provided
I can’t get this one
Answer:
36/40
Step-by-step explanation:
Hope you understand this
HAVE A GOOD DAY!
3 2/5 + 4 2/5 = Answer : __________________________
Answer:
7 and 4/5
Step-by-step explanation:
Description:
The correct answer for this question is 7.8 because since this is just a plus question just add the numbers together.
1: 32/5
2: + 42/5
3: = 7.8
Answer: 7.8
Please mark brainliest
Hope this helps.
In a survey, 125 people were asked to choose one card out of five cards labeled 1 to 5. The results are shown in the table. Compare the theoretical probability and experimental probability of choosing a card with the number 2.
The experimental probability is [tex]\frac{10}{15+10+40+20+40}=8\%,[/tex] while the theoretical probability, assuming random selection, is [tex]\frac{1}{5}=20\%,[/tex] so the theoretical probability is greater than the experimental probability.
A store is having a 20%-off sale on all merchandise.
a) If Mai buys one item and saves $13, what was the original price of her purchase? and explain
1 + 1 =
long method pls
Does anyone know this ??
Answer:
A
Step-by-step explanation:
sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{3}{\sqrt{34} }[/tex]
Rationalise the denominator by multiplying numerator/ denominator by [tex]\sqrt{34}[/tex]
sin x = [tex]\frac{3}{\sqrt{34} }[/tex] × [tex]\frac{\sqrt{34} }{\sqrt{34} }[/tex] = [tex]\frac{3\sqrt{34} }{34}[/tex] → A
Find the surface area of the cylinder. Round to the nearest hundredth.
Answer:
The surface area of the cylinder is 276.32m²
Step-by-step explanation:
To solve this problem we have to calculate the circle area and the lateral area
To calculate the area of the circle we use the following formula
a = area
r = radius = 2m
π = 3.14
a = π * r²
we replace with the known values
a = 3.14 * (2m)²
a = 3.14 * 4m²
a = 12.56m²
The area of the circle is 12.56m²
To calculate the lateral area of the cylinder we use the following formula
a = area =
h = heighti = 20m
r = radius = 2m
π = 3.14
a = 2 * π * r * h
we replace with the known values
a = 2 * 3.14 * 2m * 20m
a = 6.28 * 40m²
a = 251.2m²
The lateral area of the cylinder is 251.2m²
Now we add the lateral area of the cylinder with 2 times the area of the circle and obtain the area of the cylinder
251.2m² + (2 * 12.56m²) = 276.32m²
The surface area of the cylinder is 276.32m²
A school chair has 36 members. This year, there are three times as many returning members as new members. How many
new members are in the choit this year?
12 new members
24 new members
27 new members
Algebra help please!
Answer:
Yes
Step-by-step explanation:
10(49-49)
---------------
2(7)(7^2-16)(7+3)
0
---------
4620
answer is 0
Please answer CORRECTLY !!!!!!!! Will mark BRAINLIEST !!!!!!!!!
Answer:
-24
Step-by-step explanation:
First find f(3), which is the value of the blue line when x =3
f(3) = -2
Then find g(-1) which is the value of the red line when x= -1
g(-1) = 6
-6 f(3) - 6*g(-1)
-6*-2 - 6(6)
12 - 36
-24
A company is hosting a charity meal 800 people work for the company it is estimated 70% of the employees will attend it is expected that if an employee attends they will bring a partner the cost of attending the meal is £5 how much money will there is for charity?
Answer:
5600 pounds
Step-by-step explanation:
first find the number of workers attending:
70%of 800 = 560
Next find the number of people attending:
560 x 2 = 1120
Now, Calculate the money raised:
5 X 1120 = 5600
Hope this helps
Good Luck
Someone help me please.
Answer:
No solution.
Step-by-step explanation:
Two same things can't equal different things.
