Answer:
Area= [tex]154m^{2}[/tex]
Step-by-step explanation:
A= [tex]\frac{a+b}{2} h=\frac{12+16}{2} (11)=154[/tex]
If K is the midpoint of JL, JK = 8x + 11 and KL = 14x – 1, find JL.
Answer:
[tex]JL=54[/tex]
Step-by-step explanation:
We are given that K is the midpoint of JL. Using this information, we want to find JL.
By the definition of midpoint, this means that:
[tex]JK=KL[/tex]
Substitute them for their equations:
[tex]8x+11=14x-1[/tex]
Solve for x. Subtract 8x from both sides:
[tex]11=6x-1[/tex]
Add 1 to both sides:
[tex]6x=12[/tex]
And divide both sides by 6. Hence:
[tex]x=2[/tex]
JL is the sum of JK and KL. Hence:
[tex]JK+KL=JL[/tex]
Since JK = KL, substitute either one for the other:
[tex]JK+(JK)=2JK=JL[/tex]
Substitute JK for its equation:
[tex]2(8x+11)=JL[/tex]
Since we know that x = 2:
[tex]2(8(2)+11)=2(16+11)=2(27)=54=JL[/tex]
Thus:
[tex]JL=54[/tex]
Solving a decim For his long distance phone service, Justin pays a $3 monthly fee plus 11 cents per minute. Last month, Justin's long distance bill was $12.79. For how many minutes was Justin billed?
Answer:
89 minutes
Step-by-step explanation:
Let
x = number of minutes
Total cost = fixed cost + variable cost
Total cost = $12.79
Fixed cost = $3
Variable cost = cost per minutes * number of minutes
= 0.11 * x
= 0.11x
Total cost = fixed cost + variable cost
12.79 = 3 + 0.11x
12.79 - 3 = 0.11x
9.79 = 0.11x
x = 9.79/0.11
x = 89
x = number of minutes = 89 minutes
Inventor A had 630 inventions, 600% more than the number of inventions inventor B had. How many inventions did B have?
Answer:
105 inventions
Step-by-step explanation:
Find how many inventions Inventor B had by dividing 630 by 6:
630/6
= 105
So, Inventor B had 105 inventions
(05.06 LC)The net of an isosceles triangular prism is shown. What is the surface area, in square units, of the triangular prism?
Three rectangles are shown, one below the other. The middle rectangle has a width of 6 units, and, along each width, is a triangle with a height of 4 units. The length of the lowermost rectangle is 8 units and its width is 5 units.
104 units²
132 units²
152 units²
168 units²
Answer:
C. 152 units²Step-by-step explanation:
Total surface area is the area of the net.
The rectangles have area:
8*(5 + 6 + 5) = 128 units²The triangles have area:
2*(1/2*6*4) = 24 units²Total area is:
128 + 24 = 152 units²Correct choice is C
Answer:
C. 152 square units
Step-by-step explanation:
I'll do the rectangles first because they are the easiest.
8(5)=40. There are 2 of those rectangles, so multiply by 2: 80.
6(8)=48. Add that to 80, you get 128.
The two triangles actually make a rectangle, so to save work, just multiply the base by the height: 6(4). You get 24.
Add them all up, and you get 152.
Hope this helps!
Write an equation of the form y = mx for the line shown below. If appropriate,
use the decimal form for the slope.
Answer:
y = - 0.5x
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 4, 2) and (x₂, y₂ ) = (2, - 1) ← 2 points on the line
m = [tex]\frac{-1-2}{2-(-4)}[/tex] = [tex]\frac{-3}{2+4}[/tex] = [tex]\frac{-3}{6}[/tex] = - 0.5
The line crosses the y- axis at (0, 0 ) ⇒ c = 0
y = - 0.5x + 0 . that is
y = - 0.5x
What is domain and range of the following graph? 10 points!!!
Answer:
domain R
range is ] - infinity, -4]
to assure u :)
According to a survey of 1000 families of any town in 2010 A.D.,794 families have radio and 187 families have television.lf 63 families do not have any one of them,then how many families will have both radio and television?Find it.
Answer:
the families who use both radio and television is 44.
The expression 2x and x² have the same value for only two values of x. What are these values?
Answer:
0 and 2
Step-by-step explanation:
Can someone help me with this math homework please!
Answer:
option 2option 1Step-by-step explanation:
value of x must be any real number except 5
that is option 2.
value of y can be any real number
that is option 1.
Based on the property of function that is one input must have exactly one output.
the outputs can repeat themselves throughout the function whereas the input shouldn't repeat themselves.
Answer:
Step-by-step explanation:
Property: Each element in the input set should have one and only element in the output set.
1) Value of x can be any real number except 5
2) Value of y can be any real number except -2
Find ten rational numbers between -1 by 5 and 1 by 2
Answer:
Step-by-step explanation:
First both the rational numbers should have same denominators. So, find least common denominator
Least common denominator is 10
[tex]\frac{-1}{5}=\frac{-1*2}{5*2}=\frac{-2}{10}\\\\\\\frac{1}{2}=\frac{1*5}{2*5}=\frac{5}{10}\\\\\\[/tex]
Now multiply the numerator and denominators of the both the numbers by 10.
[tex]\frac{-2*10}{10*10}= \frac{-20}{100} \ and \ \frac{5*10}{10*10}=\frac{50}{100}\\\\\\Now\ 10 \ rational \ numbers \ between\frac{-20}{10} \ and \ \frac{50}{100} \ is \\\\\\\frac{-19}{100},\frac{-18}{100},\frac{-17}{100},\frac{-16}{100}.\frac{-15}{100},\frac{-14}{100},\frac{-13}{100},\frac{-12}{100},\frac{-11}{100};\frac{-10}{100}[/tex]
16x7[(99-64)•2] PLEASE HELP!!!
Answer:
7840
Step-by-step explanation:
start with the (). 99-64 is 35. then 35 times 2 is 70. 16 times 7 (whats on the outside) is 112 and 112 times 70 is 7840
The sum of the measures of the interior angles of a polygon is 2880°. How many sides does the polygon have?
14
16
18
20
Answer:
18
Step-by-step explanation:
Let
S = sum of the measures of the interior angles of a polygon
n = number of sides of a polygon
The equation is
S = (n - 2) * 180°
Where,
S = 2,880°
S = (n - 2) * 180°
2,880° = (n - 2) * 180°
2,880° = 180°n - 360°
2,880° + 360° = 180°n
3,240° = 180°n
Divide both sides by 180°
n = 3,240° / 180°
n = 18
Good evening everyone, the correct answer is 18 sides.
A polygon with 18 sides' interior angles will add up to 2880 degrees.
Have a blessed night.
CAN SOMEONE PLEASE HELP ME!!!
dammn im not sure sorry
Answer:
Step-by-step explanation:
D OR F means add the two grade members together. You get 5
5 / 35 = 1/7
P(1/7) = 0.1428 Rounded to the nearest 1/100th = 0.14
In an extensive study involving thousands of British children, Arden and Plomin (2006) found significantly higher variance in the intelligence scores for males than for females. Following are hypothetical data, similar to the results obtained in the study. Note that the scores are not regular IQ scores but have been standardized so that the entire sample has a mean of M 5 10 and a standard deviation of s 5 2. a. Calculate the mean and the standard deviation for the sample of n 5 8 females and for the sample of n 5 8 males. b. Based on the means and the standard deviations, describe the differences in intelligence scores for males and females.
Answer:
mean value of female = 10.000
standard deviation of female = 1.604
mean value of male = 10.000
standard deviation of male = 2.449
Step-by-step explanation:
Given:
n=8 females
n=8 males
The objective is to find the mean and deviation and also based on the mean and the standard deviation have to describe the differences in intelligence scores for males and females
Solution:
The mean and the standard deviation are found by using MINITAB
The MINITAB procedure is explained as follows,
Step 1
choosing start > Basic statistics > Display Descriptive Statistics
Step 2
In variables supposed to enter the columns Female and Male
Step 3
Here choosing option statistics and select Mean and standard deviation
Step 4
Finally clicking OK
MINITAB output is as follows,
variable Mean standard deviation
Female 10.000 1.604
Male 10.000 2.449
b)
From the MINITAB output the mean are same for females and males.
Here the standard deviation of females is less than the standard deviation of males. That is the male scores are more variable when compared to female scores.
Find the equation of the circle in standard form for the given center (h, k) and radius
Someone help
Answer:
3rd choice
Step-by-step explanation:
You can find the attached files
Suppose that partners equally share the profits from a sale of $3,800. Which algebraic expression represents this
situation?
0360040
0 3600-
36000
3800 -
р
HURRRYY IM ALMOST OUT OF TIME SMB HELP!
Answer:
3600 / p
Step-by-step explanation:
The partners share the company equally so it would be 3600 / p because each person would get an equal share.
If there were 2 partners, each would get 1800.
If there were 4 partners each would get 900.
It makes it so each partner gets and equal amount with this equation
9m(4m – 3n) – (5m – n)2
A 11m2
– 17 mn – n2
B 11m2
– 37 mn + n2
C 34m2
– 17 mn – n2
D 34m2
– 37 mn + n2
Answer:
[tex]36m {}^{2} - 27mn - 10m + 2n[/tex]
Step-by-step explanation:
Use distributive law.
Work with one bracket at a time.
Watch out for the signs!
Write an explicit formula for…
Answer:
aₙ = 11 - 3(n - 1)
Step-by-step explanation:
Arithmetic Explicit Formula: aₙ = a₁ + (n - 1)d
a₁ = First term
d = Common difference
n = Term number
The first term of the sequence is 11 and the common difference is -3.
Therefore, the explicit formula of the sequence is aₙ = 11 - 3(n - 1).
expand and simplify (2x-3)(3x
+1)
Answer:
6x^2+2x-9x-3
=6x^2-7x-3
PLEASE HURRY
perform the following series of rigid transformations on ∆abc
translate triangle abc by moving it 5 units to the right and 2 units up
Draw the line y=-x and reflect Triangle A’B’C’ across the line
Rotate A’’B’’C’’ counterclockwise about the fact origin by 270 degress
Answer:
Step-by-step explanation:
Coordinates of the vertices of ΔABC,
A(-6, -1), B(-3, -3), C(-1, -2)
Step - 1
Rule for the translation of a point (x, y) by 'h' units right and 'k' units upwards,
A(x, y) → A(x + h, y + k)
If ΔABC is translated by 5 units right and 2 units up, image points will be,
A(-6, -1) → H(-6 + 5, -1 + 2)
→ H(-1, 1)
B(-3, -3) → J(-3 + 5, -3 + 2)
→ J(2, -1)
C(-1, -2) → K(-1 + 5, -2 + 2)
→ K(4, 0)
Step - 2
If the image triangle HJK is reflected across a line [tex]y=-x[/tex], rule for the reflection will be,
H(x, y) → A'(-y, -x)
By this rule,
H(-1, 1) → A'(-1, 1)
J(2, -1) → B'(1, -2)
K(4, 0) → C'(0, -4)
Step - 3
Rule for the rotation of a point 270° counterclockwise about the origin,
A'(x, y) → A"(y, -x)
By this rule, image points of ΔA'B'C' will be,
A'(-1, 1) → A"(1, 1)
B'(1, -2) → B"(-2, -1)
C'(0, -4) → C"(-4, 0)
Now we can graph the image triangle A"B"C".
Answer:
(∠ABC) 108 (for all)
(∠ACB) 27 (for all)
(∠CAB) 45 (for all)
Step-by-step explanation:
Score for Question 2: ___ of 5 points) 2. Write the equation of the circle in general form. Show your work.
Answer:
[tex]x^2 + y^2 + 2x - 2y - 7 = 0[/tex]
Step-by-step explanation:
Given
See attachment for circle
Required
The circle equation
First, we get the radius of the circle.
From the attachment, we have:
[tex]r = 3[/tex]
Next, the center of the circle
[tex](h,k) = (-1,1)[/tex]
The equation of the circle is:
[tex](x - h)^2 + (y - k)^2 = r^2[/tex]
This gives:
[tex](x - -1)^2 + (y - 1)^2 = 3^2[/tex]
[tex](x +1)^2 + (y - 1)^2 = 3^2[/tex]
Expand
[tex]x^2 + 2x + 1 + y^2 - 2y + 1 = 9[/tex]
Collect like terms
[tex]x^2 + y^2 + 2x - 2y + 1 + 1 - 9 = 0[/tex]
[tex]x^2 + y^2 + 2x - 2y - 7 = 0[/tex]
Hence, the equation in general form is:
[tex]x^2 + y^2 + 2x - 2y - 7 = 0[/tex]
please help me !!!!!!!
Answer:
(32;29) first thing is to find the gradient of that line and form some extra equation ( bodzatu ili
a)if A×B ={(1,2),(2,3),(1,3),(2,2),(3,2),(3,3)} find i) set A ii) set B.i need for exam
Answer:
soln,
set A ={ 1,2,3}
set B ={2,3}
If you like peanut butter and chocolate, then you will love Reese's.
What is the converse of the statement?
Answer:
Reese's love peanut butter and chocolate
hope it helps u
plz mark it as brainliest
Please help me if you don't mind
Answer:
ਹੈਲੋ, ਇੰਡੀਆ ਦਾ ਆਪਣਾ ਵੀਡੀਓ ਐਪ - ਰੋਪੋਸੋ ਤੇ Manjeet Warval ਦਾ ਵੀਡੀਓ ਦੇਖੋ | ਨਾਲ ਹੀ PM ਮੋਦੀ ਦੇ 'ਵੋਕਲ ਫ਼ਾਰ ਲੋਕਲ' ਮੋਹਿਮ ਨੂੰ ਸਫ਼ਲ ਬਣਾਉਣ ਲਈ ਰੋਪੋਸੋ ਤੇ 5 ਕਰੋੜ ਤੋਂ ਜ਼ਿਆਦਾ ਭਾਰਤੀਆਂ ਦੇ ਨਾਲ ਜੋੜੋ| ਹੁਣੇ ਰੋਪੋਸੋ ਐਪ ਡਾਊਨਲੋਡ ਕਰੋ ਅਤੇ 100 ਕੋਇਨਜ਼ ਪਾਣ ਲਈ 24 ਘੰਟੇ ਦੇ ਅੰਦਰ ਸਾਇਨ ਅੱਪ ਕਰੋ|ਹੈਲੋ, ਇੰਡੀਆ ਦਾ ਆਪਣਾ ਵੀਡੀਓ ਐਪ - ਰੋਪੋਸੋ ਤੇ Manjeet Warval ਦਾ ਵੀਡੀਓ ਦੇਖੋ | ਨਾਲ ਹੀ PM ਮੋਦੀ ਦੇ 'ਵੋਕਲ ਫ਼ਾਰ ਲੋਕਲ' ਮੋਹਿਮ ਨੂੰ ਸਫ਼ਲ ਬਣਾਉਣ ਲਈ ਰੋਪੋਸੋ ਤੇ 5 ਕਰੋੜ ਤੋਂ ਜ਼ਿਆਦਾ ਭਾਰਤੀਆਂ ਦੇ ਨਾਲ ਜੋੜੋ| ਹੁਣੇ ਰੋਪੋਸੋ ਐਪ ਡਾਊਨਲੋਡ ਕਰੋ ਅਤੇ 100 ਕੋਇਨਜ਼ ਪਾਣ ਲਈ 24 ਘੰਟੇ ਦੇ ਅੰਦਰ ਸਾਇਨ ਅੱਪ ਕਰੋ|ਹੈਲੋ, ਇੰਡੀਆ ਦਾ ਆਪਣਾ ਵੀਡੀਓ ਐਪ - ਰੋਪੋਸੋ ਤੇ Manjeet Warval ਦਾ ਵੀਡੀਓ ਦੇਖੋ | ਨਾਲ ਹੀ PM ਮੋਦੀ ਦੇ 'ਵੋਕਲ ਫ਼ਾਰ ਲੋਕਲ' ਮੋਹਿਮ ਨੂੰ ਸਫ਼ਲ ਬਣਾਉਣ ਲਈ ਰੋਪੋਸੋ ਤੇ 5 ਕਰੋੜ ਤੋਂ ਜ਼ਿਆਦਾ ਭਾਰਤੀਆਂ ਦੇ ਨਾਲ ਜੋੜੋ| ਹੁਣੇ ਰੋਪੋਸੋ ਐਪ ਡਾਊਨਲੋਡ ਕਰੋ ਅਤੇ 100 ਕੋਇਨਜ਼ ਪਾਣ ਲਈ 24 ਘੰਟੇ ਦੇ ਅੰਦਰ ਸਾਇਨ ਅੱਪ ਕਰੋ|biyhk5f7eej3rj6rjj you b. uthmv. ਹੈਲੋ, ਇੰਡੀਆ ਦਾ ਆਪਣਾ ਵੀਡੀਓ ਐਪ - ਰੋਪੋਸੋ ਤੇ Manjeet Warval ਦਾ ਵੀਡੀਓ ਦੇਖੋ | ਨਾਲ ਹੀ PM ਮੋਦੀ ਦੇ 'ਵੋਕਲ ਫ਼ਾਰ ਲੋਕਲ' ਮੋਹਿਮ ਨੂੰ ਸਫ਼ਲ ਬਣਾਉਣ ਲਈ ਰੋਪੋਸੋ ਤੇ 5 ਕਰੋੜ ਤੋਂ ਜ਼ਿਆਦਾ ਭਾਰਤੀਆਂ ਦੇ ਨਾਲ ਜੋੜੋ| ਹੁਣੇ ਰੋਪੋਸੋ ਐਪ ਡਾਊਨਲੋਡ ਕਰੋ ਅਤੇ 100 ਕੋਇਨਜ਼ ਪਾਣ ਲਈ 24 ਘੰਟੇ ਦੇ ਅੰਦਰ ਸਾਇਨ ਅੱਪ ਕਰੋ|ਹੈਲੋ, ਇੰਡੀਆ ਦਾ ਆਪਣਾ ਵੀਡੀਓ ਐਪ - ਰੋਪੋਸੋ ਤੇ Manjeet Warval ਦਾ ਵੀਡੀਓ ਦੇਖੋ | ਨਾਲ ਹੀ PM ਮੋਦੀ ਦੇ 'ਵੋਕਲ ਫ਼ਾਰ ਲੋਕਲ' ਮੋਹਿਮ ਨੂੰ ਸਫ਼ਲ ਬਣਾਉਣ ਲਈ ਰੋਪੋਸੋ ਤੇ 5 ਕਰੋੜ ਤੋਂ ਜ਼ਿਆਦਾ ਭਾਰਤੀਆਂ ਦੇ ਨਾਲ ਜੋੜੋ| ਹੁਣੇ ਰੋਪੋਸੋ ਐਪ ਡਾਊਨਲੋਡ ਕਰੋ ਅਤੇ 100 ਕੋਇਨਜ਼ ਪਾਣ ਲਈ 24 ਘੰਟੇ ਦੇ ਅੰਦਰ ਸਾਇਨ ਅੱਪ ਕਰੋ|ਹੈਲੋ, ਇੰਡੀਆ ਦਾ ਆਪਣਾ ਵੀਡੀਓ ਐਪ - ਰੋਪੋਸੋ ਤੇ Manjeet Warval ਦਾ ਵੀਡੀਓ ਦੇਖੋ | ਨਾਲ ਹੀ PM ਮੋਦੀ ਦੇ 'ਵੋਕਲ ਫ਼ਾਰ ਲੋਕਲ' ਮੋਹਿਮ ਨੂੰ ਸਫ਼ਲ ਬਣਾਉਣ ਲਈ ਰੋਪੋਸੋ ਤੇ 5 ਕਰੋੜ ਤੋਂ ਜ਼ਿਆਦਾ ਭਾਰਤੀਆਂ ਦੇ ਨਾਲ ਜੋੜੋ| ਹੁਣੇ ਰੋਪੋਸੋ ਐਪ ਡਾਊਨਲੋਡ ਕਰੋ ਅਤੇ 100 ਕੋਇਨਜ਼ ਪਾਣ ਲਈ 24 ਘੰਟੇ ਦੇ ਅੰਦਰ ਸਾਇਨ ਅੱਪ ਕਰੋ|ਹੈਲੋ, ਇੰਡੀਆ ਦਾ ਆਪਣਾ ਵੀਡੀਓ ਐਪ - ਰੋਪੋਸੋ ਤੇ Manjeet Warval ਦਾ ਵੀਡੀਓ ਦੇਖੋ | ਨਾਲ ਹੀ PM ਮੋਦੀ ਦੇ 'ਵੋਕਲ ਫ਼ਾਰ ਲੋਕਲ' ਮੋਹਿਮ ਨੂੰ ਸਫ਼ਲ ਬਣਾਉਣ ਲਈ ਰੋਪੋਸੋ ਤੇ 5 ਕਰੋੜ ਤੋਂ ਜ਼ਿਆਦਾ ਭਾਰਤੀਆਂ ਦੇ ਨਾਲ ਜੋੜੋ| ਹੁਣੇ ਰੋਪੋਸੋ ਐਪ ਡਾਊਨਲੋਡ ਕਰੋ ਅਤੇ 100 ਕੋਇਨਜ਼ ਪਾਣ ਲਈ 24 ਘੰਟੇ ਦੇ ਅੰਦਰ ਸਾਇਨ ਅੱਪ ਕਰੋ|ਹੈਲੋ, ਇੰਡੀਆ ਦਾ ਆਪਣਾ ਵੀਡੀਓ ਐਪ - ਰੋਪੋਸੋ ਤੇ Manjeet Warval ਦਾ ਵੀਡੀਓ ਦੇਖੋ | ਨਾਲ ਹੀ PM ਮੋਦੀ ਦੇ 'ਵੋਕਲ ਫ਼ਾਰ ਲੋਕਲ' ਮੋਹਿਮ ਨੂੰ ਸਫ਼ਲ ਬਣਾਉਣ ਲਈ ਰੋਪੋਸੋ ਤੇ 5 ਕਰੋੜ ਤੋਂ ਜ਼ਿਆਦਾ ਭਾਰਤੀਆਂ ਦੇ ਨਾਲ ਜੋੜੋ| ਹੁਣੇ ਰੋਪੋਸੋ ਐਪ ਡਾਊਨਲੋਡ ਕਰੋ ਅਤੇ 100 ਕੋਇਨਜ਼ ਪਾਣ ਲਈ 24 ਘੰਟੇ ਦੇ ਅੰਦਰ ਸਾਇਨ ਅੱਪ ਕਰੋ|ਹੈਲੋ, ਇੰਡੀਆ ਦਾ ਆਪਣਾ ਵੀਡੀਓ ਐਪ - ਰੋਪੋਸੋ ਤੇ Manjeet Warval ਦਾ ਵੀਡੀਓ ਦੇਖੋ | ਨਾਲ ਹੀ PM ਮੋਦੀ ਦੇ 'ਵੋਕਲ ਫ਼ਾਰ ਲੋਕਲ' ਮੋਹਿਮ ਨੂੰ ਸਫ਼ਲ ਬਣਾਉਣ ਲਈ ਰੋਪੋਸੋ ਤੇ 5 ਕਰੋੜ ਤੋਂ ਜ਼ਿਆਦਾ ਭਾਰਤੀਆਂ ਦੇ ਨਾਲ ਜੋੜੋ| ਹੁਣੇ ਰੋਪੋਸੋ ਐਪ ਡਾਊਨਲੋਡ ਕਰੋ ਅਤੇ 100 ਕੋਇਨਜ਼ ਪਾਣ ਲਈ 24 ਘੰਟੇ ਦੇ ਅੰਦਰ ਸਾਇਨ ਅੱਪ ਕਰੋ|
Answer:
[tex]18-x^{2} = 2[/tex]
Step-by-step explanation:
The value of x is given as -4
The expression is given as [tex]18-x^{2}[/tex]
Substitute -4 in the value of x:
[tex]18-(-4)^{2}[/tex]
{add the value given inside the bracket to avoid mistakes in the answer}
[tex]=18-(-4)^{2}[/tex]
[tex]=18-16[/tex]
[tex]=2[/tex]
hope this helps...
have a great day ahead :)
Please help me with this one
Answer:
2×5×7+2×5×2+2×7×2
70+20+28
108cm^2
[tex] \huge\boxed{\mathfrak{Answer}}[/tex]
[tex]l = 5 \: cm \\ w = 2 \: cm \\ h = 7 \: cm[/tex]
The formula to find SA => 2lh + 2lw + 2hw
[tex]SA => 2lh + 2lw + 2hw \\ = 2 \times 5 \times 7 + 2 \times 5 \times 2 + 2 \times 7 \times 2 \\ = 70 + 20 + 28 \\ = 118 \: \: cm {}^{2} [/tex]
=> The surface area of the rectangular prism is 118 cm².
what is the value of x? no links.
Answer:
X= 115 is the answer
because it is corresponding angel they are equal
Answer:
X = 115 since the x and the other angle looks like they correspond to each other
Step-by-step explanation:
Water has a density of 1.0 g/mL and ocean water has a density of 1.025 g/mL.
Why are they different?
Answer:
0.025g/ml
Step-by-step explanation:
Given data
Density of water =1.0 g/mL
Density of oil =1.025 g/mL.
The difference in the density is
1.025 g/mL-1.0 g/mL
=0.025g/ml
This is because oil is more dense than water
Decide if the following scenario involves a permutation or combination. Then find the number of possibilities.
The batting order for nine players on a team with 11 people.
Given:
The batting order for nine players on a team with 11 people.
To find:
The number of possibilities for the given scenario.
Solution:
First, we need to select 9 players from 11 people, it involves combination, i.e. [tex]^{11}C_9[/tex].
Second, we need to arrange the order of 9 selected players, it involves permutation, i.e., [tex]^9P_9[/tex].
The number of possibilities for the given scenario is:
[tex]\text{Possibilities}=^{11}C_9\times ^9P_9[/tex]
[tex]\text{Possibilities}=\dfrac{11!}{(11-9)!9!}\times \dfrac{9!}{(9-9)!}[/tex]
[tex]\text{Possibilities}=\dfrac{11\times 10\times 9!}{2!9!}\times \dfrac{9!}{0!}[/tex]
[tex]\text{Possibilities}=\dfrac{110}{2\times 1}\times \dfrac{9\times 8\times 7\times 6\times 5\times 4\times 3\times 2\times 1}{1}[/tex]
[tex]\text{Possibilities}=55\times 362880[/tex]
[tex]\text{Possibilities}=19958400[/tex]
Therefore, the following scenario involves both permutation and combination, and the number of possibilities is 19958400.
Graph the linear function described by the equation
Answer:
a on edge
Step-by-step explanation: