Answer:
251.33 cubic inches
Step-by-step explanation:
The formula for the volume of a cylinder = πr²h
r = Radius = 4 inches
h = Height = 5 inches
Volume of a Cylinder = π × 4² × 5
= 251.32741 cubic inches
Approximately , the Volume of the cylinder = 251.33 cubic inches.
A ball is thrown into the air from the top of a building. The height, h (t), of the ball
above the ground t seconds after it is thrown can be modeled by the function
h (t) = -16t+64t + 80. Explain the meaning of h (0) = 80 in the context of
the problem.
Answer:
See below
Step-by-step explanation:
h(0) is the height of the ball when it is thrown. h(0) = 80 ft. The top of the building is 80 ft. above ground.
The diagram shows a square ABCD
M is the midpoint of AB
N is the midpoint of AD
The area of the shaded triangle AMN is 8cm^2
Work out the area of triangle MCN
The area of the triangle, Δ AMN is 8 cm², so the area of the triangle, ΔMCN is 24 cm².
A triangle is one of the most basic geometric figures with 3 sides, 3 angles, and 3 vertices.
The area of a triangle is half of the product of the base and height.
Given that
ABCD is square and M and N are mid-points of lines AB and AD respectively.
Area of triangle, ΔAMN = 8 cm²
[tex]\dfrac{1}{2} \times AN \times AM = 8\\AN \times AM = 8 \times 2\\AN \times AM = 16[/tex] ...(i)
Since ABCD is square, therefore AB = AD.
Also, as M and N are mid-points of lines AB and AD, so
AN = AM.
Substitute AN = AM in equation (i),
[tex]AN \times AN = 16\\AN^2 = 16\\AN = \sqrt{16}\\AN = 4\ cm[/tex]
So,
AD = 2 × AN
= 2 × 4
= 8 cm
As ABCD is square,
AB = BC = CD = AD = 8 cm.
Area of the square ABCD = 8² = 64.
Since CD = BC, ND = MB, ∠D = ∠B.
Therefore by SAS property of similarity,
ΔCDN ≅ ΔCBM
Area of the triangle, ΔCDN = Area of the triangle, ΔCBM.
[tex]= \dfrac{1}{2} \times CB \times BM\\= \dfrac{1}{2} \times 8 \times 4\\\\= 16\ cm^2[/tex]
Area of the triangle, ΔCMN = Area of ABCD - Area of ΔAMN - Area of ΔCDN - Area of ΔCBM
Area of the triangle, ΔCMN = 64 - 8 - 16 - 16
= 24 cm²
Therefore, the area of ΔCMN is 24 cm².
Learn more about Triangles here:
https://brainly.com/question/2773823
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Please answer #12 and 15 ... proportions?
Answer:
12) z = 64
15) q = 75
Step-by-step explanation:
12) 40/65 = z/10⁴
Cross Multiply
65 × z = 40 × 104
65z = 4160
z = 4160 / 65
z = 64
15)32.5/25 = 97.5/q
Cross Multiply
25 × 97.5 = 32.5× q
q = 25 × 97.5/32.5
q = 2437.5 /32.5
q = 75
7. Marcy is taking part in a summer movie club. She will
earn 3 points for each movie she attends throughout the
summer. Which equation represents the relationship
between y, the total points, and x the number of movies?
A y=3x
B. y = 3+x
C. x= 3y
D. x=y+3
Answer:
The equation that represents the relationship between 'y' the total points, and 'x' the number of movies is option A;
A y = 3·x
Step-by-step explanation:
The information required in the question is an equation that represents the the relationship between the number of movie attended and the total number of points Marcy has given that she earns a fixed amount of points for attending each movie
The number of points she will earn for attending each movie = 3 points
The total number of points she will earn 'y' when she attends 'x' number of movies is given as follows;
y = 3 + 3 + 3 + ... + 3, 'x' number of times, and we can write
[tex]y = \sum\limits_{i =1}^x 3 = 3 \times x[/tex]
Therefore the equation that represents the relationship between 'y' the total points, and 'x' the number of movies is y = 3·x.
What is formed when a sodium atom and chlorine atom react chemically
Answer:
Step-by-step explanation:
When sodium and chlorine atoms come together to form sodium chloride (NaCl), they transfer an electron. The sodium (Na) atom transfers one electron to the chlorine (Cl) atom, so that they both have full outer shells.
HELP ME PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
x=25
Step-by-step explanation:
40 + 3x-5= 5x -5
45 + 3x= 5x-5
+5 +5
50 + 3x= 5x
-3x -3x
50= 2x
/2 /2
25= x
I hope this helps :)
You and 5 friends go to a concert. In how many different orders can you sit in the assigned seats?
Answer: 720
Step-by-step explanation:
This is permutations.
To find all of the possible choices, you will have the number of seats with the mathematical exclamation mark after that number.
5 + you = 6 people
6! = 720
You and your 5 friends can sit in your seats 720 different ways.
WILL GIVE BRAINLIEST IF CORRECT!!!!Carlos Rivera purchased a car three years ago at a price of $21,950. Today 1 point
the car's estimated worth is $15,110. The Complete Car Cost Guide states
the annual variable cost of the car to be $1,150 with insurance costing
$1,259. Rivera paid $140 for license and registration fees and he drove the
car about 17,000 miles. After computing the car's depreciation and its total
annual cost, find the cost per mile.*
a$0.26
b$0.28
c$0.30
d$0.32
Answer:
It would be B
Step-by-step explanation:
I did this question not to long ago
5 cm
5 cm
9 cm
What is the area of the figure?
Answer:
225 cm²
Step-by-step explanation:
5 x 5 = 25cm
25 x 9 = 225cm²
Answer:
225^3
Step-by-step explanation:
5*5*9= 225.
drag the tiles to show the best possible first and second step in solving the given equation.
NO LINKS!!!
Answer:
okay the first best step is to subtract 100 from both side the second best step is to divide 15 by both side
1. Find the exact value of sin and cos of 195 degrees.
Answer:
Sin195* = -[tex]\frac{\sqrt{6}-\sqrt{2} }{4 }[/tex]
Cos195* = - [tex]\frac{\sqrt{6} +\sqrt{2} }{4}[/tex]
Step-by-step explanation:
What is the domain of the graph?
Answer:
B
Step-by-step explanation:
x is greater than or equal to 2 and x is less than or equal to 5
Please help
No links please
One pint of chalkboard paint covers 60 square feet. What is the least number of pints needed to paint the walls of a room in the shape of a rectangular prism with a length of 15 feet a width of 13 feet and a height of 10 feet
Answer:
15.833 pints of chalkboard paint
Step-by-step explanation:
Surface area of a rectangular prism = 2(lw × hl × hw)
Where,
L = length = 15 feet
w = Width = 13 feet
h = height = 10 feet
Surface area of a rectangular prism = 2(lw + hl + hw)
= 2(15*13 + 10*15 + 10*13)
= 2(195 + 150 + 130)
= 2(475)
= 950 square feet
One pint of chalkboard paint covers 60 square feet
Least number of pints needed to paint the walls = 950 square feet / 60 square feet
= 15.833 pints of chalkboard paint
For what values of x is the trinomial 2x2−x+55 equal to the square of binomial x+5?
The value of x for which the trinomial 2x^2−x+55 equal to the square of binomial x+5 is 5 and 6
Given the equation 2x^2−x+55, if the expression is equal to the square of binomial x + 5, then;
2x^2−x+55 = (x+5)^2
2x^2−x+55 = x^2 + 10x + 25
Collect the like terms;
2x^2-x^2-x-10x+55-25 = 0
x^2 - 11x + 30 = 0
Factorize the result
x^2 - 6x - 5x + 30 =0
x(x-6)-5(x-6) = 0
x-5 = 0 and x - 6 = 0
x = 5 and 6
Hence the value of x for which the trinomial 2x^2−x+55 equal to the square of binomial x+5 is 5 and 6
Learn more here: https://brainly.com/question/1214333
sandy had five -dollar bill,2 one dollar bills,5 quarters ,and 6 nickels .she gave $1.30 to the vacation Bible school offering .how much did she have left?
simplify the expression below (3³-3²)+2³=
Answer:
1^1+2^3 I believe
Step-by-step explanation:
=3³-²+2³
=3¹ + 2³
= 3+ 8
=11
Nicholas spent $10, including tax, on 2.5 centimeters of metal cable. what is the cost, in dollars, per centimeter of cable
Answer:
for each centimeter its $4
Step-by-step explanation:
10 divided by 2.5 is 4
1 = 4
2 = 8
2.5 equals 4 divided by 2 so 8 + 2 = 10
Explain the differences and similarities between 8 + (−5) and 8 − 5.
Answer:
The use different equations but both equal 3
Step-by-step explanation:
Which statement is most likely to be true for this distribution?
A. The mean is less than the median.
B. The mean is the same as the median.
O C. The mean is greater than the median.
SUBMIT
Answer:c
Step-by-step explanation:
I took the quiz as well hope this helps
Beth is a real estate agent. She earns 6.5% commission on each sale she makes. Last month she sold a house for
$225,000 and another for $195,000. What did Beth earn in commissions for the month?
Answer:
Beth earned $27,300 in commissions
Step-by-step explanation:
225,000 * 6.5% = 14,625
195,000 * 6.5% = 12,675
12,675 + 14,625 = 27,300
So, the answer is 27,300
Hope this helps! :)
i need help with this one
Answer:
1 ounce
Step-by-step explanation:
You gotta get 1/4 to match 5/8 and that would get you 2/8. Add that together gets you 7/8 and 1 ounce remaining.
brainliest?
i need help plz i struggling
Answer:
circ : 37.7
vol: 144
Step-by-step explanation:
circ: c=2[tex]\pi[/tex]r
circ= 2[tex]\pi[/tex]6 = 37.7 (have to use calc)
vol: base area x (pyramid height/3)
vol: 48 x (9/3)
vol: 48 x 3
vol: 144
pls help
what is the surface area of this triangular prism in square units
What are your answer choices?
Can y’all please help me I only have one attempt?
C
C is the answer. It is the only one that gives y when you input x.
Answer:
Your answer is C :)
Y = 3^x + 2.
You just substitute this into any of the functions. If you need more clarification I can help :)
please help !! thank youuu
Answer:
No, she should have added ([tex]6^2[/tex]) and ([tex]8^2[/tex]) and compared that too ([tex]10^2[/tex]).
Step-by-step explanation:
An easy way to determine if a triangle is right is by using the Pythagorean theorem. The Pythagorean theorem states the following,
[tex]a^2 + b^2 = c^2[/tex]
Where (a) and (b) are the legs or the sides adjacent to the right angle, and (c) is the hypotenuse or the side opposite the right angle. The hypotenuse is always the largest side in a right triangle.
One can substitute in the given sides and solve to prove that the given triangle with the following side lengths (6, 8, 10) forms a right triangle.
[tex](6)^2 + (8)^2 = (10)^2\\\\36 + 64 = 100\\\\100 = 100[/tex]
Thus the given triangle is a right triangle because one can apply the Pythagorean theorem to its side lengths.
The mistake that was made in the given problem was that the person in the given situation set up the equation using the wrong sides, and thus got a wrong result. Therefore, one should select the following option as their answer,
No, she should have added ([tex]6^2[/tex]) and ([tex]8^2[/tex]) and compared that too ([tex]10^2[/tex]).
PLZ HELP ASAP BRANILIEST!!!! Seven hundred people are gathered in a trapezoidal park with bases measuring 50 yards and 90 yards and a height of 50 yards.
Find the population density of the park.
The population density of the park is ______ people per square yard.
Find the population density if the bases and height are halved.
The population density of the park if the bases and height are halved is
________people per square yard.
Answer:
0.2, 0.8
Step-by-step explanation:
The area of the park is 0.5h(b1 + b2), where h is the height, b1 is the first base, and b2 is the other base.
Plug the values in:
Area = 0.5(50)(50+90) = 0.5(50)(140) = (50)(70) = 3500
Since 700 people are in the park, there is 700/3500 = 0.2 people per square yard.
If the bases and height are halved, the new area is:
Area = 0.5(25)(25+45) = (35)(25) = 875
The new population density is 700/875 = 0.8 people per square yard.
find the volume of an construction cone if it has a radius of 9 in and a height of 18 in
Answer:
1526.04 cubic inches
Step-by-step explanation:
V=π r 2 h
3
= pi x r(r) x (height/3)
= 3.14 x 9(9) x (18/3)
= 3.14 x 81 x 6 = 1526.04 cubic inches
PLEASE HELP!! I WILL GIVE POINTS AND BRAINEST!
Answer:
Yes. They are similar because they have the same shape and one is just flipped and smaller.
Answer: Yes
Step-by-step explanation: For a quadrilateral to be similar, the angles must be congruent. This is true since the angle measures are the same since it flipped and dilated.
Seven buddies got together to eat chicken wings. There were total of 133 chicken wings. If each of the buddies ate the same number of chicken wings, how many did each person eat?
A 19
B. 13
C. 15
D. 17
Answer:
133÷7=19
19 is the answer