Answer:
Step-by-step explanation:
Order shouldn't make any difference.
3 C 4 = 4!/(3! 1!) = 4
Let's see if that is right.
1 2 3
1 2 4
1 3 4
2 3 4
Any other combination will produce a duplicate if order doesn't matter. For example
2 4 3 is the same thing as 2 3 4
Use the Pythagorean theorem to classify the triangle
formed by the three fences. Which is true about the
numbers 5, 12, and 13?
Answer:
they are equal
Step-by-step explanation:
The triangle with sides 5, 12, 13 is a right triangle because
a^2+b^2 = c^2
5^2+12^2 = 13^2
25+144 = 169
169 = 169
I'm using the pythagorean theorem converse.
Find the area of trapezium
Answer:
A=36
Step-by-step explanation:
A=1/2(a+b)h
=1/2[(4+8)6]
=1/2[(12)6]
=1/2(72)
=36
Find a point on the line and the line's slope.
y+4=-3/2(x+7)
Answer:
The slope is 3/2 and a point on the line is (-7,-4)
Step-by-step explanation:
Point slope form of a line is
y -y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
y+4=-3/2(x+7)
y - -4 = 3/2 ( x - -7)
The slope is 3/2 and a point on the line is (-7,-4)
The equations to this problem .
Answer:
The answer would be the third one.
The LCM of two numbers is 48. The number one in the ratio 2:3. Then Sum of the numbers is:
a) 16
b) 14
c) 32
d)28
Answer:
40
Step-by-step explanation:
Let the numbers be 2x and 3x
Then their L.C.M. = 6x
BUT also their LCM=48
6x=48
x=48/6
x=8
So,
First number=2x=2x8=16
Second number=3x=3x8=24
The numbers are 16 and 24.
Hence required sum =(16+24)=40
So none of the options are correct
Helppppp pleaseeeeee!!!!!’
Answer:
[tex]\text{(a) }\$10,080,\\\text{(b) }\$11,289.60,[/tex]
Step-by-step explanation:
Since interest is compounded annually, the amount of money the account has after [tex]n[/tex] years is given by [tex]y=9,000\cdot 1.12^n[/tex].
(a) After 1 year, [tex]n=1[/tex]:
[tex]9,000\cdot 1.12^1=\boxed{\$10,080}[/tex]
(b) After 2 years, [tex]n=2[/tex]:
[tex]9,000\cdot 1.12^2=\boxed{\$11,289.60}[/tex]
3 · (7 – 2) – 23 – (10 – 4) : 9
Answer:
-14:9
Step-by-step explanation:
Given :
3 · (7 – 2) – 23 – (10 – 4) : 9
Now,
3 · (7 – 2) – 23 – (10 – 4) : 9
21-6-23-6:9
21-35:9
-14:9
Answer will be -14:9
A surveyor is using indirect measurement to find the height of a cliff. He is 4 feet tall and is standing 32 feet away. How tall is the cliff?
Answer:
256 ft
Step-by-step explanation:
[tex]\frac{x}{32} =\frac{32}{4}[/tex]cross multiply
4x = 32(32)
4x = 1024
x =256
256 ft
Two positive numbers have a difference of 21. The larger number is five more than twice the smaller. Find the two numbers.
Answer:
X = 29
Y = 8
Step-by-step explanation:
X - y = 21
X = 2y + 5
Substitute:
2y+5-y= 21
2y = 16
Y = 8
X-8 = 21
X = 29
the length of a rectangle is three times that of the width. the perimeter of the rectangle is 32 cm. what is the width of the rectangle (answers are A- width = 2cm B- width 3cm C- width 4cm)
Answer:
c
Step-by-step explanation:
Is this true or false???!!!
Answer:
It is true
Step-by-step explanation:
Hopes this help
PLS HELP What type of line is PQ¯¯?
A. side bisector
B. median
C. altitude
D. angle bisector
Answer: Altitude
Step-by-step explanation:
Altitude is perpendicular line made from vertex to side
The line PQ is the altitude, the correct option is C.
What is a Triangle?A triangle is a polygon with three sides, three vertices and three angles.
The Triangle PSR is an obtuse angle triangle,
The line PQ makes 90 degree with the line SR extended up to Q.
The line is the height of the triangle.
To know more about Triangle
https://brainly.com/question/2773823
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What are the coordinates of the hole in the graph of the function?
f (x) = x^2 − 3x − 10
x−5
Enter your answer in the boxes.
Answer:
The hole is at (5,7)
Step-by-step explanation:
x^2 − 3x − 10
-------------------
x−5
Factor the numerator
(x-5)(x+2)
-------------------
x−5
There is a hole at x=5 since it will cancel in the numerator and the denominator
f(x) = x+2 and letting x = 5
f(5) = 5+2
The hole is at (5,7)
Helpppppp please I need this
Macy's buys a coat from the manufacturer for $22.00. They markup the coat by 75%. Ms. Tonyes buys the coat and uses a 15% off coupon. How much does Ms. Tonyes pay for the coat before tax?
Answer:
Toney buys the coat for $ 14.8.
Step-by-step explanation:
Cost of coat =$ 22
Mark up by 75 %
discount = 10 %
Let toney pay $ R for the coat.
So, according to the question
R + 75 % R = 1.75 R
Now the cost is
1.75 R - 15 % of 1.75 R = 22
1.75 R - 0.2625 R = 22
R = 14.8
So, he buy the coat for $ 14.8.
Witch statement about a quadrilateral is true 1. A rhombus has exactly one pair of parallel sides. 2. A trapezoid has two pairs of parallel sides. 3. All rectangle are squares. 4. Some rhombus have four right angles
Answer:
Statement 4 is true.
Step-by-step explanation:
- Statement 1 is false because a rhombus has 4 equal sides with 2 pairs being parallel to each other.
- Statement 2 is false because a trapezoid usually has only 2 sides that are parallel while the other 2 are not parallel. Thus it has only a pair of parallel sides.
- A square must have all 4 sides equal. But rectangles don't have all 4 sides equal and so the statement is false.
- Rhombus has all 4 sides equal and where it has all interior angles as right angles, it is called a square. Thus, some rhombus have all 4 interior angles as right angles.
Quel nombre obtient-on avec le programme de calcul cicontre, si l'on choisit comme nombre de départ −7 ? Programme de calcul Choisir un nombre de départ. Ajouter 2 au nombre de départ. Élever au carré le résultat.
Répondre:
25
Explication étape par étape :
La question exigeait qu'un numéro de départ soit choisi ; 2 ajoutés au numéro de départ et le carré du résultat est effectué :.
Numéro de départ = - 7
Ajouter 2 à - 7
2 + - 7 = 2 - 7 = - 5
Carré du résultat /
-5² = 25
how many factors does 2000 have
Answer:
20
Step-by-step explanation:
Choose all of the angles that are coterminal with -150°.
150°
-510°
210°
-210°
570°
I'm pretty sure u chose all the ones with - in it
Help pleasssere!!!!!!!!!!!
Step-by-step explanation:
I hope it helps...I just put it in point slope form
The area of the base is 15cm. The height is 6 cm. What is the volume of the rectangular prism?
Answer:
you don't put the L value
please help !!! i don’t know how to write down the number of tiles :(
A city has a population of 340,000 people. Suppose that each year the population grows by 5.25%. What will the population be after 15 years?
Answer:
Future population = 720800
Step-by-step explanation:
Below is the calculation of population after 15 years.
Given the present population = 340000
Growth in population = 5.25%
Use below formula to find the values:
Future population = Present population ( 1 + r)^n
Future population = 340000 ( 1 + 5.25%)^15
Future population = 340000 (2.15)
Future population = 720800
Can you please help me ASAP
Answer:
x=35 this is your answer
Rewrite y +2> +(6x –9) to isolate the y-term.
Rewrite y +2>2(6x-
Helppppp
Given:
The inequality is:
[tex]y+2>\dfrac{1}{3}(6x+9)[/tex]
To find:
The inequality after isolating the y-term.
Solution:
We have,
[tex]y+2>\dfrac{1}{3}(6x+9)[/tex]
On simplification, we get
[tex]y+2>\dfrac{1}{3}(6x)+\dfrac{1}{3}(9)[/tex]
[tex]y+2>2x+3[/tex]
Subtracting 2 from both sides of the above inequality, we get
[tex]y+2-2>2x+3-2[/tex]
[tex]y>2x+1[/tex]
Therefore, the required inequality is [tex]y>2x+1[/tex].
John wants to know his class’s favourite TV show, so he surveys all of the boys. Will the sample be representative or biased?
The sample will be biased.
What is bias?
Bias is a disproportionate weight in favor of or against an idea or thing, usually in a way that is closed-minded, prejudicial, or unfair. Biases can be innate or learned. People may develop biases for or against an individual, a group, or a belief. In science and engineering, a bias is a systematic error.
Here, we have,
John wants to know his class’s favourite TV show, so he surveys all of the boys.
now, we get,
The sample will be biased.
to learn more on bias click:
brainly.com/question/28748065
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If y=-2x+6 wee changed to y=3x+2 how would the graph of the new line compare with the first one
Answer: (a)
Step-by-step explanation:
Given
The given graph is y=-2x+6 and it changed to y=3x+2
The slope of the graph determines the steepness
Slope changes from -2 to 3. So, latter graph is more steeper.
Also, y intercept is obtained by putting x as 0
Y intercept changes from 6 to 2 i.e. decrease of 4 units
Hence, option (a) is correct.
what is 2 over 3 + 4 over3
Bob has 57 guests he wants to make sure everyone gets a slice of cake. One is 20cm at £13.50 and one 25cm at £18.75 he wants to pay as little as possible. How much will he have to pay
Answer:
£56.25
Step-by-step explanation:
Number of guest = 57
The 20cm cake :
Can serve 12 people and cost £13.50
The 25cm cake :
Can serve 20 people and cost £18.75
Since the cake has to be the same size, the only one particular size would have to be purchased ;
For the 20cm cake ; 57/12 = 4.75 = five 20cm cakes ;
£13.50 * 5 = £67.50
For 25cm cake ; 57 / 20 = 2.85 = three 25cm cakes
£18.75 * 3 = £56.25
£56.25 is lower ; hence, amount he'll have to pay is £56.25
Please help me with number ten and twelve
Answer: [tex]93,\ 34^{\circ}[/tex]
Step-by-step explanation:
Given
For figure (i) both triangles are congruent
[tex]\therefore 8x-27=4x+33\\\Rightarrow 8x-4x=33+27\\\Rightarrow 4x=60\\\Rightarrow x=15[/tex]
[tex]\Rightarrow PQ=8x-27\\\Rightarrow PQ=93[/tex]
For figure (ii)
Two triangles WXZ and WZY are congruent
[tex]\therefore 9x-28=5x-8\\\Rightarrow 4x=20\\\Rightarrow x=5^{\circ}\\\Rightarrow \angle YWX=2(9x-28)\\\Rightarrow \angle YWX=2(17)\\\Rightarrow \angle YWX=34^{\circ}[/tex]
