Answers
Answer:
a) P = 6x + 13//
b) i) x = 5//
ii) 9//
Step-by-step explanation:
a) P = 2(x+2) + 2(2x-1) + 3 + 8 m
= 2x+4 + 4x-2 + 3 + 8
= 6x + 13//
b) i) P = 43 m
43 = 6x + 13
43-13 = 6x
30 = 6x
6 6
x = 5//
ii) longest side = (2x-1) m
2 × 5 - 1
10-1 = 9//
Related Questions
The sample space, S. of a coin being tossed three times is shown below, where H and T denote the
coin landing on heads and tails respectively.
S = {HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}
Let X = the number of times the coin comes up heads. What is the probability distribution for the
number of heads occurring in three coin tosses?
0
1
3
1
4
5
8
X
p (X)
X
p(x)
2
1
4
3
1
3
1
4
2
1
3
1
4
1
4
6
2
3
7
2
3
2
3
1
3
0
1
2
3
4
5
6
7
8
X
0
1
2
3
X 1
(x) 1
1
2
3
2
3
1
3
2
13
1
3
1
3
0
P(X)
1
8
3
8
3
8
8
Answers
Answer:
P(X1) = 1, P(X2)= 2/3, P(X3)= 2/3, P(X4)= 1/3, P(X5)= 2/3, P(X6)= 1/3, P(X7)= 1/3 and P(X8)= 0
Step-by-step explanation:
basic triangle proofs
please help
Answers
AD is congruent to DC because they are both created by the midpoint D
so with all the together you can say the triangle are similar by SSS
Answer:
Step-by-step explanation:
Hope this helps u !!!
Explain how to find the inverse of a Log Function. (Algebraically)
Answers
Answer:
Your welcome! :)
Step-by-step explanation:
To find the inverse of a function, we use the following steps:
1. Replace f(x) with y.
2. Interchange x and y.
3. Solve for y.
4. Replace y with f -1 (x).
A manufacturer knows that 9% of the products it produces are defective. Find the probability that among 6 randomly selected products, at least one of them is defective.
Answers
Answer:1%
Step-by-step explanation:
In the past 100 years, scientists measured the movement of the continents to be 190.5 centimeters. If the continents moved the same amount each year, how much did the continents move in one year?
Answers
Answer:
The continents moved by 1.905 centimeters each year.
Step-by-step explanation:
This question is solved by proportions, using a rule of three.
In the past 100 years, scientists measured the movement of the continents to be 190.5 centimeters. How much it moved in a year?
100 years - 190.5 centimeters.
1 year - x centimeters
[tex]100x = 190.5[/tex]
[tex]x = \frac{190.5}{100}[/tex]
[tex]x = 1.905[/tex]
The continents moved by 1.905 centimeters each year.
Amanda buys a 1.5 litre carton of orange juice.
She has a number of plastic cups.
Each plastic cup holds 40 ml when full.
How many cups can Amanda completely fill with orange juice?
Answers
Answer:
Amanda can fill 37.5 cups
Step-by-step explanation:
Elizabeth has $26 left after shopping at the mall. She bought 2 shirts for $22.99 each, a drink for $2.02, and 2 books for $16 each. How much money did she start with?
Answers
Step-by-step explanation:
22.99 × 2 + 2.02 + 16 × 2 + 26= $106
Ms. Sandy bought a package of pencils. Out of every 10 pencils, 9 are black. If there are 70 pencils in the pack, what fraction of the pencils in the pack are black? What percent of the pencils in the pack are black?
What fraction of the pencils in the pack is black?
Answers
help me find the answer
Answers
What is the cardinality of the set {4,9,12,19,26}
Answers
Answer:
5
Step-by-step explanation:
Given the set {4,9,12,19,26}
The cardinality of any given set is the measure of the size of the set. Hence, cardinality if a set simply means the size of a set, which is obtained by counting the number of distinct element in the set.
The set Given above, the number of distinct element in the set is 5 ; Hence, the cardinality of the set is 5
What is the value of the expression shown below?
Answers
Answer:
23 1/4
Step-by-step explanation:
3/6 ^ 2 = 1/4
7 * 4 = 28
28 + 1/4 = 113/4
113/4 - 5 = 93/4
93/4 = 23 1/4
A circle has a circumference of 100 m. Find its area
Answers
Area of circle=796.5m²
Answer:
Solution given:
circumference of circle=100m
2πr=100m
r=100/(2π)
r=15.92m
now
area of circle=πr²=π×15.92²=796.5m²[approximately]
Answer:
A =796.1783439 m^2
Step-by-step explanation:
circumference = 2 * pi *r
100 = 2 * pi *r
Divide by 2
50 = pi r
Divide by pi
50/pi = r
Using 3.14 for pi
50/3.14 = r
15.92356688=r
Now we can find the area
A = pi r^2
A = 3.14 ( 15.92356688)^2
A =796.1783439 m^2
ratios that are equivalent to 7/6
Answers
Answer:
14 : 12 , 21 : 18 and 28 : 24 .
Step-by-step explanation:
Answer:
14 : 12 , 21 : 18 and 28 : 24 .
Step-by-step explanation:
Therefore, 14 : 12 , 21 : 18 and 28 : 24
Does -5 + 7 - 8 = 6?
Answers
Answer:
-6
Step-by-step explanation:
-5+7=2
2-2=0
0-the remaining 6 of the 8=-6
HELP Will mark brainlist
Answers
Answer:
Its B since the decimals are lower than the data.
Help pleaseeeee ASAP
Answers
Answer:
9 cm
Step-by-step explanation:
The volume of a square based pyramid is given as :
V = 1/3a²h
Where ; a = base edge ; h = Height
Volume, V = 48 cm³ ; a = 4cm
48 = 1/3 * 4² * h
48 = 1/3 * 16h
48 * 3 = 16h
144 = 16h
h = 144 / 16
h = 9 cm
Height = 9cm
50% of a number is 32
what is the number
Answers
Answer:
64
Step-by-step explanation:
Half (50%) of 64 would be 32
Answer:
64
Step-by-step explanation:
let the number be x
according to the question ,
50 % of x = 32
50/100 * x = 32
50x = 32 *100
x = 3200/50
x = 64
therefore a number is 64
Question 9 of 10
Which expression gives the surface area of a sphere with radius r?
A. pi r^2
В. 4pi r^3
C. 4pi r^2
D. 4 r^2
Answers
Answer:
C. 4 pi r^2
Step-by-step explanation:
The surface area of a sphere is given by
SA = 4 pi r^2
What is the value of y?
Answers
Answer:
y= 40
Step-by-step explanation:
The sum of the angle of a triangle is 180
2y+ 50 + y+10 = 180
Combine like terms
3y + 60 =180
Subtract 60 from each side
3y +60-60 = 180-60
3y = 120
Divide by 3
3y/3 = 120/3
y= 40
Answer:
y=40
Step-by-step explanation:
2y+ y+10+50=180
3y+60=180
3y=180-60
3y=12O
y=120/3
y=40
hope it helps:)
Which expression represents the length, in inches,
of the framed picture?
Answers
Answer:
No solution is posible from the information provided
Step-by-step explanation:
Answer:
1. B
2. C
3. 8, 36
PLEASSE HELP ME WILL MARK YOU!
Answers
Problem 1
Answer: It is possible to draw a triangle
-------------------------
Explanation:
We use the triangle inequality theorem. Consider a triangle with sides a,b,c
A triangle is only possible if and only if the following three inequalities are all true
a+b > cb+c > aa+c > bBasically, if we can add any two sides to get a sum larger than the third side, then we can form a triangle.
If a = 3, b = 4, and c = 5, then
a+b = 3+4 = 7 which is indeed larger than c = 5 b+c = 4+5 = 9 which is larger than a = 3a+c = 3+5 = 8 which is larger than b = 4All three conditions are met, therefore we have a triangle possible.
=======================================================
Problem 2
Answer: No, a triangle is not possible
-------------------------
Explanation:
For this problem, and the next two problems, we'll use the triangle inequality theorem also.
Notice that a+b = 4+5 = 9 but this is not larger than c = 9
So the condition a+b > c is not true, and therefore we do not have a triangle possible.
=======================================================
Problem 3
Answer: No, a triangle is not possible
-------------------------
Explanation:
Similar to problem 2. A triangle isn't possible because a+b = 5+6 = 11 which is not larger than c = 12.
=======================================================
Problem 4
Answer: It is possible to draw a triangle
-------------------------
Explanation:
A triangle is possible here because
a+b = 3.5+4.5 = 8 which is larger than c = 7b+c = 4.5+7 = 11.5 which is larger than a = 3.5a+c = 3.5+7 = 10.5 which is larger than b = 4.5=======================================================
Problem 5
Answer: a, c, b
-------------------------
Explanation:
Here are two rules we'll use here
The smallest angle is always opposite the smallest sideThe largest angle is always opposite the largest sideThis applies to triangles only.
From the diagram, we can see that the 28 inch side is the longest. Angle 'a' is opposite this, making angle 'a' to be the largest angle.
Then we see that angle b is opposite the smallest side, so angle b is the smallest angle. Angle c is somewhere in between angles 'a' and b. So that's why we get the order a, c, b when sorting the angles from largest to smallest.
Suppose the linear regression line V 4.009x - 77.531 predicts a pizza a
parlor's profits based on the number of pizzas sold. If x represents the
number of pizzas sold, and V represents the pizza parlor's profits in dollars,
about how much can the pizza parlor expect in profits if it sells 325 pizzas?
Answers
Answer:
$1225.39
Step-by-step explanation:
Please help me fast 50 points!!!!!!!
Answers
It should be 30 because it’s it in the middle
Sorry if it’s wrong
16. Find the value of X (In the picture) (giving points to best answer/brainlest)
Answers
Answer:
x = 46°
Step-by-step explanation:
the obtuse triangle is isosceles so the angle adjacent to ∠x is 22°
therefore, ∠x = 180-(90+22+22) = 46
Find an expression which represents the difference when (-4x – 3y) is subtracted
from (-2x – 10y) in simplest terms.
Answers
you can add like terms here
Answer: (-2x-10y)-(-4x-3y)
-2x-10y-(-4x-3y)
-2x-10y+4x+3y
-2x+4x-10y+3y
-2x+4x-10y+3
Answer =2x-7y
Step-by-step explanation:
If the trapezoid on the grid below is translated by using the rule (x,y)-> (x-4,y-3) what will be the coordinates of B’?
Answers
Answer:
B'(3, 5)
Step-by-step explanation:
Rule for the translation of a point (x, y) by 'h' units left and 'k' units upwards,
(x, y) → (x - h, y + k)
If h = 4 and k = 3,
[tex](x, y)\rightarrow(x-4,y+3)[/tex]
Following this rule coordinates of the image point of B will be,
B(7, 2) → B'(7 - 4, 2 + 3)
→ B'(3, 5)
Therefore, coordinates of the image point B' will be,
B'(3, 5)
Ariel has a plastic ice cream cone in her food playset. The ice cream cone is a half-sphere sitting on top of a cone. What is the
approximate volume of the toy ice cream cone? Use 3.14 for x.
Answers
52 Step-by-step explanation:
A machine depreciate in value at the rate of 10% every year on reducing balance. if the original cost is 20000 and the scrapped value is 13122, how long has the equipment been used?
Answers
Answer: 10 years
Explanation:
The original cost of the machine = 20000
The scrap value of the machine = 13122
Value of the machine = ( 20000 - 13122 ) = 6878
Depreciation of the machine for the first year = ( 6878 * 10 % )
= 687.8
So, the effective life of the machine is = ( 6878 / 687.8 )
= 10 years
how can i get a cientific form number
Answers
A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10.
Scientific notation is helpful when dealing with really large numbers with a lot of zeroes because you can express them with smaller numbers, and it looks a lot more simple. It's just a different way to express numbers.
Here's an example : Let's say someone asked me to put the number
650,000,000 into scientific notation.
That would be 6.5 ✕ 10^8
Hope this helps, please mark brainliest if possible. Have a nice day.
the scale is 7 millimeters = 1 meter. what is the scale factor?
Answers
Answer:
1 meter =1,000 millimeters. So, the scale is:
7 mm:1,000 mm Divide both sides by 7
1 mm:142 6/7 mm - This is the scale that was used
Step-by-step explanation:
