Answer:
$ 11
Step-by-step explanation:
A game costs $ x.
Two games costs 2x.
50 + 2x = 72
2x = 72 - 50
2x = 22
x = 11
Can I get help please.
Answer:
see below
Step-by-step explanation:
A: Points A and B form a right triangle with legs of 2 and 5 so AB is approximately 5.4 from the Pythagorean Theorem.
B: Points B and C form a right triangle with legs of 2 and 5 so BC is approximately 5.4.
C: We need to find the length of AC. We can do this by using the same strategy above. Points A and C form a right triangle with legs of 7 and 3 so AC = 7.6. To find the perimeter we'll do 5.4 + 5.4 + 7.6 = 18.4.
Here is a scale drawing of a swimming pool where 1 cm represents 1 m. The dimensions of the drawing are 6.5 cm by 13 cm.
How long and how wide is the actual swimming pool?
Answer:
1cm
Step-by-step explanation:
SUBJECT: Mathematic
ASSIGNMENT
The diagram below shows a cylindrical moulding tool of diameter 16cm with a cylindrical hole of diameter 10cm. The height of the cylinder is 18cm and the hole is 6cm deep. Calculate the volume of the tool.
The height of a right circular cone is 6cm and its radius is 8cm.
Calculate its curved surface area.
Calculate the volume of the cone.
Answer:
Section A
Volume of the cylindrical tool = 1413.72cm³
Section B
1) Curved Surface Area of the right circular cone = 251.33cm²
2) Volume of the right circular cone = 402.12cm³
Step-by-step explanation:
Section A
We are asked to find the volume of the cylindrical moulding tool.
Volume of a cylinder = πr²h
From the question, the cylindrical tool had a diameter of 10cm. This means the radius of the tool = Diameter ÷ 2 = 10cm ÷ 2 = 5cm
The height of the cylindrical tool = 18cm
Volume of the cylindrical tool = π × (5cm)² × 18cm
1413.7166941cm³
Approximately = 1413.72cm³
Section B
The height of a right circular cone is 6cm and its radius is 8cm.
1) Calculate its curved surface area.
The formula for the curved surface area of a right circular cone =
πrl
r = radius = 8cm
h = height = 6cm
l = √(r² +h²) = √(8² + 6²) = √100
l = 10cm
The curved surface area = πrl
= π × 8cm × 10cm
= 251.33cm²
2) Calculate the volume of the cone.
The formula for the volume of a cone=
1/3πr²h
radius (r) = 8cm
height (h) = 6cm
1/3πr²h
1/3 × π × 8² × 6
= 402.12cm³
Express 0.96 as an percent
Answer:
96%
Step-by-step explanation:
0.96 × 100/100
(0.96 × 100)× 1/100 = 96/100
percentage = 96%
Answer:
96%
Step-by-step explanation:
match the expressions 21/25 60% 13/20 84% 2/5 75% 65% 3/4 3/5
Answer:
21/25 ---> 84%
13/20 ---> 65%
3/5 ---> 60%
3/4 --->75%
2/5 ---> 40%
What is the leading coefficient of the polynomial f(x)f(x) defined below? f(x)=−3x^4−10x^3
Answer:
9x^8
Step-by-step explanation:
f(x) is a binomial. Multiplying a binomial by itself results in a trinomial. In this problem we need ONLY to specify what the leading coefficient (coefficient of this trinomial product) is.
Here this is obtained by squaring the coefficient −3x^4. We get"
(-3)^2*(x^4)^2 = 9x^8
What is the smallest number that can be added to 2018·2019·2020 so that the result of the addition is a perfect cube? Please answer soon!
Answer:
[tex]802[/tex]
Step-by-step explanation:
[tex]18^3=5832[/tex]
[tex]19^3=6859[/tex]
[tex]2018+2019+2020=6057[/tex]
[tex]6859-6057=802[/tex]
Check.
[tex]6057+802=6859[/tex]
[tex]\sqrt[3]{6859} =19[/tex]
Answer:
2019.
Step-by-step explanation:
Let x = 2018, then x + 1 = 2019 and x + 2 = 2020.
x(x + 1)(x + 2)
= x(x^2 + 3x + 2)
= x^3 + 3x^2 + 2x ................(A)
Now the perfect cube of x + 1 is:
(x + 1)^3 = x^3 + 3x^2 + 3x + 1
If we add x + 1 to (A) we get this expression so the answer is x + 1
= 2019.
Point A lies on the circle and has an x-coordinate of 1.
Which is the correct calculation of the y-coordinate of point A?
Answer:
y=0
correct way to solve it is y= xtan(theta)
Step-by-step explanation:
You did not mention if it is trigonometry but we assume that it is.
In trigonometry, a point with x-coordinate = 1 at a circle is horizontal line. the angle at this point is 0.
The correct way to solve it is to say tan = opposite/adjacent
since the angle is zero, and adjacent side x=0, tan 0=opposite/1
opposite (y) = 1 tan 0
y = 1*0 =0
Answer:
d
Step-by-step explanation:
u do the thing and u do it right and somehow it equals 2 (edge 2022)
Write in radical form and simplify if possible: (5x)⅓
Answer: [tex]\sqrt[3]{5x}[/tex]
A gumball machine contains three yellow, eight blue, and six pink gumballs. What is the probability that the next gumball that comes out will be neither yellow nor blue?
show work pls tnx!
Answer:
total balls in the Machine = 7+5+4 = 16
Step-by-step explanation:
METHOD-1
Probability of First ball to be Blue = 7/(7+5+4) = 7/16
Probability of Second ball to be Green = 5/(15) = 5/15 [15 balls remaining after one being taken out in Step 1]
Probability of Third ball to be red = 4/(14) = 4/14 [14 balls remaining after Two being taken out in Step 1&2]
But this can happen in any order so the orders in which it can happen = 3!
i.e. Final Probability that machine dispenses one gumball of each color = (7/16)*(5/15)*(4/14)*3! = 1/4
Answer: Option E
METHOD-2
The total ways in which three balls can be Picked out of a total of 16 balls (with orders) = 16*15*14 = 840
The ways in which three balls of different colors can be taken out (with orders) = 7*5*4*3! = 3360
Probability = Favourable Outcome / Total Outcomes
i.e Probability = 840 / 3360 = 1/4
Answer: Option E
METHOD-3
The total ways in which three balls can be Picked out of a total of 16 balls (without orders) = 16C3 = 560
The ways in which three balls of different colors can be taken out (with orders) = 7C1 * 5C1 *4C1 = 140
Probability = Favourable Outcome / Total Outcomes
i.e Probability = 140 / 560 = 1/4
Answer: Option E
What is the numerical solution to the equation five less than three times a number equals four more than eight times rhetorical number?
Answer:
3n-5=8n+4
Step-by-step explanation:
Enzo drew Triangle K L N. In Enzo's triangle, Measure of angle K is represented as x degrees. The measure of Angle L is 5 times Measure of angle K. The measure of Angle N is 16 degrees less than 8 times Measure of angle K. Which statements must be true about the angle measures of Enzo's triangle? Check all that apply. Measure of angle K = x degrees Measure of angle L = (5 x) degrees Measure of angle N = (16 minus 8 x) degrees Measure of angle K + measure of angle L = measure of angle N Measure of angle K + measure of angle L + measure of angle N = 180 degrees
Answer: (1) Measure of angle K = x degrees
(12) Measure of angle L = (5x) degrees
(3) Measure of angle k + Measure of angle L + Measure of angle N = 180 degrees
Step-by-step explanation: First of all, what we have is a triangle, and one of the properties of a triangle is all three angles add up to 180 degrees. This simply means that the addition of angles K and L and N would be equal to 180 degrees.
The question states that angle K is represented as x degrees, and angle L is 5 times the measure of angle K. Therefore, if K is x degrees, then L is 5 times x, which becomes 5x degrees. Also, angle N is given as 16 degrees less than 8 times the measure of angle K (x degrees). Eight times the measure of angle K is given as 8x. Sixteen degrees less than 8x would now become, 8x - 16 (degrees). Therefore, the angles have been derived as;
Angle K = x degrees
Angle L = 5x degrees
Angle N = 8x - 16 degrees
Having known that one of the properties of any triangle is all angles adding up to 180 degrees, we can now derive the following equation;
x + 5x + 8x - 16 = 180
14 x - 16 = 180
Add 16 to both sides of the equation
14x = 196
Divide both sides of the equation by 14
x = 14
Therefore, angle K = 14 degrees (x), angle L = 70 degrees (5x) and angle N = 96 degrees (8x - 16)
*14 + 70 + 96 = 180*
Answer:
145
Step-by-step explanation:
(THIS IS 90 POINTS!!!)
Solve the following system of equations:
x − 2y = 5
2x − 4y = 10
A. Infinitely many solutions
B. No solutions
C. (0, 0)
D. (5, 10)
Answer:
A. Infinitely many solutions
Step-by-step explanation:
x − 2y = 5 | × (- 2)
2x − 4y = 10
- 2x + 4y = - 10
2x - 4y = 10
----------------------- +
- 2x + 2x + 4y - 4y = - 10 + 10
0 = 0
A. Infinitely many solutions
which best explains whether a triangle with side lengths 5cm 13cm and 12 cm is a right triangle
Answer: the awnser is 0 jk its not
Step-by-step explanation:
i just want point repete dkmkmkrfnjrjnnfrfr
Answer:
Yes, it can make a right triangle.
Step-by-step explanation:
We can use the Pythagorean Theorem to determine if the sides make a right triangle.
[tex]a^2+b^2=c^2[/tex]
We are given the side lengths: 5cm, 13cm, and 12 cm.
13cm is the longest, so it would be 'c'.
5cm and 12cm will be 'a' and 'b'.
Let 5 be 'a', 12 be 'b', and 13 be 'c':
[tex]5^2+12^2=13^2\\\\\text{Solve the Exponents:}\\ \rightarrow 5^2=25\\\rightarrow 12^2=144\\\rightarrow 13^2=169\\\\25+144=169\\\boxed{169=169}[/tex]
5cm, 13cm, and 12 cm would make a right triangle. It satisfies the Pythagorean Theorem.
If f(x) = x^2 - 2x and g(x) = 6x + 4, for what value of x does (f + g)(x) = 0?
Answer:
x = -2
Step-by-step explanation:
[tex]f(x) =x^2 -2x\:\: and \:\: g(x) = 6x + 4\\(f+g)(x) = f(x) + g(x) \\(f+g)(x) = x^2 -2x+ 6x + 4\\(f+g)(x) = x^2+4x + 4\\(f+g)(x) = (x+2)^2\\ 0 = (x+2)^2...[\because (f+g)(x) =0]\\0 = x+2\\\therefore x = -2[/tex]
Answer:
x = -3 + √5 and x = -3 - √5
Step-by-step explanation:
Combine f and g:
f = x^2 -2x
+g = 6x + 4
-------------------------
(f + g)(x) = x^2 + 6x + 4
Set this result = to 0 and solve for x:
By completing the square, we get:
y = x^2 + 6x + 9 - 9 + 4, or
y = (x + 3)^2 - 5 = 0
Thus, (x + 3)^2 = 5, and:
x + 3 = ±√5, or
x = -3 + √5 and x = -3 - √5
In a pile of playing cards, there are 6 hearts, 4 clubs, and 8 spades. What is the probability that you will draw a heart?
1. 1/2
2. 1/6
3. 1/3
4. 1/12
Answer:
1/3
Step-by-step explanation:
The probability that you will draw a heart is 1/3, the correct option is 3.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
We are given that;
Number of cards= 6 hearts, 4 clubs, and 8 spades
Now,
To find the probability of drawing a heart, we need to divide the number of hearts by the total number of cards in the pile. The number of hearts is 6 and the total number of cards is 6 + 4 + 8 = 18.
The probability of drawing a heart is 1/18=1/3
Therefore, by probability the answer will be 1/3.
Learn more about probability here;
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16+12x-5x+4y-7 Simply the expression
Answer:
Combing like terms we get 7x + 4y + 9.
Which angles are corresponding angles?
Check all that apply.
8
4
7
3
6
2
O A. 6 and 3
B. 1 and 6
C. 1 and 3
D. 5 and 7
I E. 6 and 8
F. 7 and 2
The train holds 66 passengers.
It starts out empty.
It picks up 1 passenger at the first station, 2 passengers at the second station, 3
passengers at the third station, and so on.
No one gets off.
After how many stations will the train be full?
Answer:
1,2,3,4,5,6,7,8,9,10,11
3 + 7 + 11 + 15 + 19 + 11
10 + 26 + 19 + 11
55 + 11 = 66
11 stations
Hope this helps
Step-by-step explanation:
Answer:
11 stations.
Step-by-step explanation:
1st stop = 1
2nd stop 1+2=3
3rd stop 3+3=6
4th stop 6+4=10
5th stop 10+5=15
6th stop 15+6=21
7th stop 21+7=28
8th stop 28+8=36
9th stop 36+9=45
10th stop 45+10=55
11th stop 55+11=66
When the point (3,k) lies on each of these lines, find the value of k.
a) y=3x+2
b) y=4x-2
c) y=3-2x
d) x+y=7
e) x-2y=1
If you answer you don't have to explain but please do
Now your teacher is hosting a picnic for their family and discovers that 30 relatives are coming to the picnic and everyone wants to eat 2 hot dogs! What is the least number of packages of hot dogs and hot dog rolls that your teacher will have to buy to feed all her relatives?
Answer:
6 hot dogs package assuming she's buying a single package to contains 10 package or approximately 8 rolls if she buys the 8 package containing above 60 rolls of hot dogs.
In my opinion, she needs at least 8 package of hot dog rolls to make hot dogs for her guests.
Step-by-step explanation:
Hello,
There are typically 10 hot dogs in a single package. However some may contain 8 hot dogs rolls in a single pack so we'll solve for both in case which ever one she decides to buy.
My teacher is expecting 30 guests coming to the party and each 1 one them wants to eat 2 hot dogs.
To solve this question, we would first of all know the total number of hot dogs they'll probably eat at the party.
2 hot dogs = 1 person
y hot dogs = 30 people
y = (30 × 2) / 1
y = 60 hot dog.
Therefore, the guest would most likely consume at least 60 hot dogs at the party.
However, in a single hot dog package, it contains 10 hot dogs in it.
Now we'll have to find out the total number of hot dogs package my teacher needs to buy to prepare the hot dogs for her guests.
To do that, we'll have to divide the total number of hot dogs expected to be consumed by the total number of hot dogs in one package.
Number of package = total number of hot dogs expected to be consumed / total number of hot dogs in one package.
Number of package she needs = 60 / 10
Number of package she needs = 6
Therefore, my teacher requires 6 hot dog package.
But some hot dogs comes in 8 rolls per package
Using the same method above,
Number of rolls she needs = 60 / 8
Number of rolls she needs = 7.5 approximately 8 rolls
Triangle GHJ has the exterior angles shown below. Triangle G H J. The exterior angles are (9 x + 6) degrees, (10 x + 7) degrees, (10 x minus 1) degrees. For Triangle G H J, what is the value of x? 2.7 5.8 12 29
Answer:
b) 5.8
Step-by-step explanation:
Explanation
Given diagram the angles are (9 x + 6)°, (10 x + 7)°, (10 x - 1)°
we know that the sum of the angles of the triangle is equal to 180°
∠A +∠B +∠C = 180°
(9 x + 6)°+(10 x + 7)°+ (10 x - 1)° = 180°
On simplification , we get
29 x + 12 = 180
29 x = 180 -12
29 x = 168
x = 5.79 ≅ 5.8
Answer:
b
Step-by-step explanation:
HELP PlZ
Which of the following graphs represents the equation
y-4=3(x-1)?
Graph A.
Graph B.
Graph C.
Graph D.
Answer:
D
Step-by-step explanation:
The point slope form of a line is y-h=m(x-k), where h is the y coordinate of the point, k is the x coordinate, and m is the slope. Therefore, a line with the equation given will have a slope of 3 and go through the point (1,4). The only graph here that matches that is graph D, meaning that it is the answer. Hope this helps!
Answer:
D is the answer
Step-by-step explanation:
PLEASE HELP ASAP, BRAINLEST
Indicate the equation of the line, in standard form, that passes through (2, -4) and has a slope of 3/5.
Enter your answer into the blank equation box.
Answer:
equation in standard form is -3x + 5y = -26
Step-by-step explanation:
standard form of equation of line is
Ax + By = C
where A,B and C are integers.
such line has slope -A/B
Another form of line equation is slope intercept form, which can be written as
y = mx+ c
since in problem m = 3/5
thus, equation is
y = 3/5 x + c
Given that (2,-4) passes through this line, this point will satisfy the above equation
-4 = 3/5 *2 + c
=> - 4 = 6/5 + c
=> c = -4 -6/5 = (-4*5 - 6)/5
=> c = (-20 - 6)/5 = -26/5
Thus, equation in slope intercept form is
y = 3/5 x -26/5
lets rewrite this equation in Ax + By = C
Multiplying LHS and RHS by 5 we have
5y =( 3/5 x)* 5 - (26/5 * 5)
=> 5y = 3x - 26
we have to bring 3x on LHS for that
we subtract 3x from both side
5y -3x = 3x - 26 -3x
=> 5y -3x = - 26
rearranging the equation
-3x + 5y = -26
Thus, equation in standard form is -3x + 5y = -26
I need A and B. Thanks
Answer:
A: its 13 cm
B:15cm
Step-by-step explanation:
A: its because its on a slight incline
B:again its on a big incline
Can someone please help me please please
Answer:
AA similarity postulate
Step-by-step explanation:
B and D are corresponding angles who both have measures of 50 degrees, which makes one pair of angles for this postulate. The other pair are ACB and ECD, because they are vertical angles and therefore congruent. Since when two angles in two triangles are the same, the third must be the same as well, these triangles must be similar. Hope this helps!
- 2.5f + 0.4f - 15 - 4
Answer:
Simplify the f's variables -2.1
Simplify the numbers -19
-2.1f -19 is the answer
-2.1f -19Answer-2.1f-24:
Step-by-step explanation:
Expand the expression: 3ln2x+lnx-ln17
Answer:
woops i dont know the answer
my bad this is payback
Step-by-step explanation:
Answer:
hey dude!
your answer is
33x-17
Step-by-step explanation:
you need to do 32x+x-17
hope this helps
pls put brainliest
what is the radius of circle O
Answer:
8.5 units
Step-by-step explanation:
first we gotta find the length of the diameter. they made it into a triangle, so we can use pythagorean theorem.
15² + 8² = c²
225 + 64 = c²
289 = c²
17 = c
so now we know that the length of the diameter is 17 units, so the radius would be half of that.
17 ÷ 2 = 8.5
so the radius is 8.5
The radius of the given circle, it can be calculate by using theorem of circle and it will come out, 13/2
What is Pythagoras theorem?It is the most important theorem of mathematics, which tells us the relationship between sides of the right angle triangle, which are known as Base(A), Height(B), Hypotenuse(H).
Pythagoras theorem,
H² = A² + B²
Given that,
A circle which has diameter AOB,
Two chords are, AC & BC their lengths are respectively, 15 and 8 units
According to theorem of circle,
Angle made by end-points of diameter at any point on a circle is 90
Pythagoras theorem can be used here,
AB² = AC² + BC²
AB² = 12² + 5²
AB² = 169
AB = 13
Radius = AB/2
= 13/2
Hence, the radius is 13/2 units
To know more about Pythagoras theorem check:
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Direct Variation: If y = 12, when x = 4, find y when x = 20. a.40 b.48 c.12 d.60
Answer:
d
Step-by-step explanation:
Given the x and y are in direct variation then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 12 when x = 4, that is
12 = 4k ( divide both sides by 4 )
3 = k
y = 3k ← equation of variation
When x = 20 , then
y = 3 × 20 = 60 → d