Answer:
this is a combination problem... permutations would basically let you know
if you had to arrange all 50 applicants on tables for dinner , how many ways can they be seated...
in your case you have 50 items and you are CHOOSING 2 ...
you need the 50c2
Step-by-step explanation:
how many metres are there in 5½ kilometres
Answer:
5500m..................
Use the coordinates of the labeled point to find the point-slope equation of
the line.
(2, -1)
Answer: (C) [tex]y+1=-2(x-2)[/tex]
Step-by-step explanation:
Slope: y = mx +b
By looking at the graph we can see that the slope has a rise of 2 and a run of -1 (aka. -2x) We can also tell that this has a y-intercept of 3
So our slope is: y = -2x + 3
Now you just have to find the answer that matches.
. If QS bisects angle PQR, m angle PQS = (7x - 6)° , and m angle SQR = (4x + 15)° , find m angle PQT.
Answer:
94
Step-by-step explanation:
PQS = (7x - 6)°
SQR = (4x + 15)° since QS bisect PQR these two expressions must be equal
so
7x - 6 = 4x + 15 transfer like terms to the same side of the equation
7x - 4x = 15 + 6
3x = 21 divide both sides by 3
x = 7
also the sum of these two would give us the measure of PQR
7x + 4x + 15 - 6 = PQR
11x + 9 = PQR replace x with 7
11*7 + 9 = 86 this is the measure of angle PQR and also supplementary to PQT so the measure of PQT = 180 - 86
If QS bisects angle PQR. the m<PQT=94 °
Given :
Measure of angles PQS = (7x - 6)° , and m angle SQR = (4x + 15)°
QS bisects angle PQR. So m<PQS=m<SQR
[tex]7x-6=4x+15\\Solve \; for \; x\\7x-4x-6=15\\3x-6=15\\3x=15+6\\3x=21\\divide \; by \;3 \\x=7[/tex]
Now we find out m<PQR
[tex]m<PQR=m<PQS+m<SQR\\m<PQR=7x-6+4x+14\\m<PQR=11x+8\\x=7\\m<PQR=11(7)+8=85[/tex]
We know that <PQR and <PQT are linear pair of angles
The sum of linear pair of angles are supplementary
[tex]m<PQR+m<PQT=180\\86+m<PQT=180\\m<PQT=180-86\\m<PQT=94[/tex]
Learn more : brainly.com/question/617412
Help, please (single variable calculus)
Hi there!
[tex]\large\boxed{ 14.875}[/tex]
Our interval is from 0 to 3, with 6 intervals. Thus:
3 ÷ 6 = 0.5, which is our width for each rectangle.
Since n = 6 and we are doing a right-riemann sum, the points we will be plugging in are:
0.5, 1, 1.5, 2, 2.5, 3
Evaluate:
(0.5 · f(0.5)) + (0.5 · f(1)) + (0.5 · f(1.5)) + (0.5 · f(2)) + (0.5 · f(2.5)) + (0.5 · f(3)) =
Simplify:
0.5( -2.75 + (-3) + (-.75) + 4 + 11.25 + 21) = 14.875
The value of a jewel in 2015 was $17500. The jewel was purchased in 2008, and its value appreciated 2.5%
each year. What was the initial value of the jewel when it was first bought? Round to two decimal places
Answer:
$14722.14
Step-by-step explanation:
We are given that
In 2015
The value of jewel=$17500
Rate of appreciation, r=2.5%
We have to find the initial value of the jewel when it was first bought.
Time, n=7 years
Final value=[tex]Initial\;value (r/100+1)^n[/tex]
Using the formula
[tex]17500=Initial\;value(2.5/100+1)^7[/tex]
[tex]17500=Initial\;value(1.025)^7[/tex]
[tex]Initial\;value=\frac{17500}{(1.025)^7}[/tex]
Initial value=$14722.14
Hence, the the initial value of the jewel when it was first bought=$14722.14
simplify 2x2a^2 x2a^2
simplify36a^3 x 1over 4a^2
express 64 in index form
simplify 5^2 x m^2
and pls also explain briefly how u got the answer
Step-by-step explanation:
> 2×2a²×2a²
8a⁴
> 36a³×1/4a²
9a³×1/a²
9a
> 2⁶
> 5²m²
The table shows values for functions f(x) and g(x)
X
f(a) = 2-2
g(x) = -22
-3
18
6
-2
4.
4
-1
2
2
0
0
1
2
2.
44
3
6
18
What is the solution to f(x) = g(x) ?
Select each correct answer.
Answer: When f(x)=g(x) , x equal to -2 or -1
Step-by-step explanation:
Find the sum of first five multiple of 5
Answer:
75
Step-by-step explanation:
The first five multiples of 5 are 5, 10, 15, 20, and 25. The sum of the first five multiples of 5 is 75.
Find the missing length indicated
Answer:
x= 135
Step-by-step explanation:
Can you answer this math homework? Please!
Step-by-step explanation:
[tex]x + 3y = 7 \\ 2x + 4y = 8 \\ x = 7 - 3y \\ 2(7 - 3y) + 4y = 8 \\ 14 - 6y + 4y = 8 \\ 14 - 2y = 8 \\ - 2y = - 6 \\ y = 3 \\ x = 7 - 3(3) \\ x = 7 - 9 \\ x = - 2[/tex]
Answer:
2x+3y=7x4
x+4y=8x3
8x+12y=27
3x+12y=24
8x-3x =5x
+12y-+12y=0
27-24=3
5x/5 3/5x
answer = x = 3/5
y=1.85
Would kindly appreciate the help please !
Answer:
cannot be determined
Step-by-step explanation:
We do not know if any of the angles are equal and are only given two sides.
We cannot determine if the two triangles are similar
Me ajudem pfvr!!!!....
Find the value of the indicated angle. Justify your answer.
Answer:
x=15
Step-by-step explanation:
The first triangle
90+2x+4x=180
90+6x=180
6x=90
x=15
find the missing length indicated
Answer:
119?
Step-by-step explanation:
howe do I solve it 5=n/5+8
Answer:
n=-15
Step-by-step explanation:
5=n/5+8
subtract 8 on both sides
-3=n/5
multiply 5 on both sides
-15=n
Evaluate w+(-x) - 2/3 where w = -5/9 and x = 4/3
Answer:
-23/9 or -2 5/9
Step-by-step explanation:
w+(-x) - 2/3
Let w = -5/9 and x = 4/3
-5/9+(- 4/3) - 2/3
Get a common denominator of 9
-5/9 - 4/3 *3/3 - 2/3 *3/3
-5/9 - 12/9 - 6/9
-23/9
-2 5/9
Answer:
-2 5/9
Step-by-step explanation:
For two consecutive numbers, five times the number that is less is 3 more than 4 times the greater number, What are the numbers
Answer:
smaller number - 7
greater number - 8
Step-by-step explanation:
let a = smaller number
a + 1 = greater number
the following equation can be derived from the question
(5 x a) = 3 + 4(a + 1)
5a = 3 + 4a + 4
5a = 7 + 4a
5a - 4a = 7
a = 7 = smaller number
a + 1 = 7 + 1 = 8 = greater number
A right cylinder has a radius of 5 and a height of 9. What is its surface area?
Answer:
B. 140π units²
Step-by-step explanation:
Surface area of a cylinder:
2πrh + 2πr²
2π(5)(9) + 2π(5²)
90π + 50π
140π
Answer:
The correct answer is 140 pi units ^2.
Step-by-step explanation:
Can y’all help me with this answer ASAP
Answer:
sqrt(24)
Step-by-step explanation:
The number is slightly less than 5
We know that 5^2 =25
sqrt(25) = 5
so the number has to be less that sqrt(25)
The only number less than sqrt(25) is sqrt(24) and sqrt(20)
sqrt(20) is too far away to be slightly less than 5 so it must be sqrt(24)
Fine the angle of the triangle using sides
Answer:
35.54
Step-by-step explanation:
use inverse tan
soh cah toa
we have both opposite and adjacent so we are using tangent
[tex]tan^{-1} (\frac{5}{7} )[/tex]
put that into a calculator and it would give you approximately 35.54 degrees
18 Ib. Then her dog loses another 1 lb. Finally, it
Cece dog
gains lb. What is the total change in her dog's weight? how your work. Pleasss help
Answer:
17 lb I guess 8 don't think the question is full
Step-by-step explanation:
the question is half
what is the answer to this problem
9514 1404 393
Answer:
5.7·10^-3
Step-by-step explanation:
The expanded scale shows point P lies 7/10 of the way between 5 and 6 times 10^-3. Its value is 5.7·10^-3.
Which table of ordered pairs represents a proportional relationship?
-3
y
3
2
1
-5
1
O
داده |
-5
oh w
х
-2
-4
-6
-5
-7
-9
立
-2
-3
y у
0
-1
Answer:
second x -1,-3,-5 y 1 3 5 for proportional relation
Could someone walk me through this problem please?
yeah me too can someone help us?hope someone helps :)
Solve for 4
NEED HELP ASAP
Answer:
32 = <4
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the opposite interior angles
15+17 = <4
32 = <4
The names of every month are written on separate pieces of paper and put into a basket. You draw a piece of paper at random. Find P(month beginning with the letter J).
A) 1/6
B) 1/3
C) 1/12
D) 1/4
Answer:
D
Step-by-step explanation:
Total Number of months = 12
How many start from J = 3
Probability= 3/12
= 1/4
Answer from Gauthmath
Which of these is an example of an output?
A
swiping on phone screen
B
the notification sound of a text message
C
typing on a keyboard
D
talking into a microphone
Answer:
d talking into microphone
what is the solution to the equation?
[tex] \frac{2 }{x} - \frac{x}{x + 5} = \frac{10}{ {x}^{2} + 5x } [/tex]
a. 0
b. 2
c. 0 and 2
d. no solution
Answer:
Hello,
answer B
2
Step-by-step explanation:
[tex]\dfrac{2}{x} -\dfrac{x}{x+5} =\dfrac{10}{x^2+5x} \\\\we\ suppose\ x\neq 0\ and\ x\neq -5\\\\\text{Reducing to the same denominator}\\\dfrac{2(x+5)-x^2}{x(x+5)} =\dfrac{10}{x^2+5x} \\\\Simplify\ by\ x^2+5x\\\\2x+10-x^2=10\\\\-x^2+2x=0\\\\-x(x-2)=0\\\\roots\ are\ 2 \ and\ 0\ (to\ be\ excluded)\\\\Root=2\\[/tex]
For problems 1 - 4, write a two-column proof.
Answer:
Solution given:
1:
<5=<6
<5+<4=180°[co interior angle]
Substituting value of<5
<6+<4=180°[it shows a property of co interior angle]
So
l || m
2:
<1=90°[ l is perpendicular to t]
<2=90°[m is perpendicular to t]
since
<1=<2[shows property of corresponding angle]
:.
l || m.
3:
<1=<2
<1=<3
substituting value of<1 in second one
<2=<3[which shows property of alternate Angel]
So
Segment ST || segment UV.
4:
<RSP=<PQR......[I]
<QRS+<PQR=180°.....[ii]
from equation I and ii we get
<RSP+<QRS=180°[which shows property of co interior angle ]
So
Segment PS || segment QR
The questions given in the pdf are these pictures, then we can get the solutions.
1) Solution
It is given that,
→ <5 = <6
Then the co interior angles,
→ <5+ <4 = 180°
Now substituting value of <5,
→ <6+ <4 = 180°
This shows property of co interior angle.
Therefore, L II m.
2) Solution
Take it as,
→ <1= 90°
In above eq. L is perpendicular to t.
→ <2 = 90°
In above eq. m is perpendicular to t.
Then it will be,
→ <1 = <2
It shows property of corresponding angle.
Therefore, L II m.
3) Solution
It is given that,
→ <1 = <2 and <1 = <3
Now substitute,
The value of <1 in second one,
→ <2 = <3
This shows property of alternate angle.
Therefore, ST II UV.
4) Solution
It is given that,
→ <RSP = <PQR --- (1)
→ <QRS + <PQR = 180° --- (2)
Now from the equation (1) and (2),
→ <RSP + <QRS = 180°
It shows property of co interior angle.
Therefore, PS II QR.
please help me asap:)
will give brainliest to the correct answer
Answer:
A=29.12ft^2
Step-by-step explanation:
first, find the area of the triangle and semicircle separately, then add them together to find the total area of the figure:
area of a triangle: 1/2bh
1/2(6)(8)=24ft^2
area of a circle: πr^2
(**we're using 3.14 instead of pi, and it's a semicircle)
1/2(3.14)(4)^2
1/2(3.14)(16)
1/2(50.24)
25.12ft^2
total area of the figure:
24+25.12=29.12ft^2
Answer: 49.12 ft²
Step-by-step explanation:
This figure is composed of
a half-circlea right triangleFirst, find the area of the half-circle.
The area of a full circle is π · r², but since it's only half a circle, we divide that by half, resulting in (π · r²)/2
π = pi ≈ 3.14r = radius = 8/2 = 4 ftTherefore, the area of the half-circle is:
(3.14 · 4²)/2 = (3.14 · 16)/2 = 50.24/2 = 25.12 ft²
Second, find the area of the right triangle.
The area of a triangle = ½bh.
b = base length = 6 fth = height = 8 ftTherefore, the area of the triangle is:
½ · 6 · 8 = ½ · 48 = 24 ft²
Add the two areas together:
24 + 25.12 = 49.12 ft²
