Answer:
Solution given:
A triangle PQR is right angled at R, with hypotenuse{h}PQ=80cm
and
base[b]PR=60cm.
perpendicular [P]= QR
by using Pythagoras law
h²=p²+b²
80²=QR²+60²
QR²=80²-60²
QR=[tex]\sqrt{2800}[/tex]
QR=20[tex]\sqrt{7}[/tex]=52.9=53cm
QR=53cm.
There are 7 movies that Christine wants to see over winter break. She only has time to see 4 of the movies. How
many different groups of 4 movies are possible, if the order in which they are seen is not important?
Answer:
35
Step-by-step explanation:
sdfghjkolkgdsdfghjkl
The possible number of the group the movies will be 840.
What are permutations and combinations?Permutation and combination are counting principles that are used in a variety of situations. A permutation is a count of the various arrangements that can be made from a given set of items. Details matter in permutation because the order or sequence is important.
Given that there are 7 movies that Christine wants to see over winter break. She only has time to see 4 of the movies.
The combinations will be calculated as:-
Combination = ⁷C₄
Combination = ( 7 x 6 x 5 x 4 )
Combination = 840
To know more about permutation and combination follow
https://brainly.com/question/28065038
#SPJ2
Subtract the polynomials.
( x^6 -2x^5 –x^3 — 7) – (3x^6 - 3x^5 -2x^ 2 – 5)
Answer: -2x^6+x^5-x^3-2+2x^2 Hope that helps!
Step-by-step explanation:
1. Remove Parentheses x^6-2x^5-x^3-7-3x^6+3x^5+2x^2+5
2. Collect like terms (x^6-3x^6)+(-2x^5+3x^5)-x^3+(-7+5)+2x^2
3. Simplify and your answer would be -2x^6+x^5-x^3-2+2x^2
If the unit's and ten's digits of a two digits of a two digit number are y and x, then the number is
Answer:
10x+ y
Step-by-step explanation:
The unit's digit is y and the ten's digit is x.
The ten's digit has a zero placed beside it .
So multiply x by 10 giving 10 x and then add the unit's digit .
This wil give 10x+ y
The number is 10 x + y
This can be elaborated through the use of numbers . Suppose we have unit's digit as 6 and the ten's digit as 5.
Multiply 10 by 5 and add 6
5*10 +6= 50+6= 56
Evaluate 5v + w for v = 4 and w = 16. Show work.
Answer:
36
Step-by-step explanation:
5(4)+16=20+16=36
help me plzz plzzz plzzzz
Answer:
60 degree
Step-by-step explanation:
a hexagon has a total sum of angles equal to 720
720/6 = 120
180-120 = 60
write an equation with a slope of -1/2 in each form.
point-slope form
slope-intercept form.
For the case of a line through
(
2
,
7
)
and
(
1
,
−
4
)
we have
slope
m
=
Δ
y
Δ
x
=
−
4
−
7
1
−
2
=
−
11
−
1
=
11
Using the point
(
2
,
7
)
we can write the equation of the line in point slope form as:
y
−
7
=
m
(
x
−
2
)
where the slope
m
=
11
.
That is:
y
−
7
=
11
(
x
−
2
)
To get point intercept form, first expand the right hand side so...
y
−
7
=
11
x
−
(
11
⋅
2
)
=
11
x
−
22
Then add
7
to both sides to get:
y
=
11
x
−
15
=
11
x
+
(
−
15
)
This is point intercept (
y
=
m
x
+
c
) form with slope
m
=
11
and intercept
c
=
−
15
.
please help it’s my final
Answer:
-1/2
Step-by-step explanation:
y2-y1/x2-x1 is the formula
-2-(-1)/-6-(-8) = -1/2
Hope this helps.
a three-digit lottery ticket using the numbers 0 to 9 has how many possible combinations? using only the fundamental counting principal.
Answer:
1000 combinations
Step-by-step explanation:
A circle has a diameter that measures 14in. what is the area of the circle to the nearest tenth?
Answer:
153.9
Step-by-step explanation:
14/2=7 which is the radius which you square and it results to 49. multiply that times pi for 153.86 or 153.9 to the nearest tenth.
Answer:
153.9
Step-by-step explanation:
We know that the equation to find the area of a circle in [tex]\pi r^2\\[/tex]. So we divide the diameter by half and we plug in the radius.
helppppppppppppppppppp
Answer:
B
Step-by-step explanation:
You just substitute the values in for A and B and then you simplify
The 10 A would be 10x17 which is 170 and then plus B, which we know is 12, so it would equal 182
hope this helped
Answer:
182
Step-by-step explanation:
First, plug in 17 for a
10·17+b=170+b
Then plug in 12 for b
170+12=182
There you go!
182
hii! i’ll give brainliest pls help
Answer:
b is correct
Step-by-step explanation:
The black graph is the graph of y=f(x). Choose the equation for the red graph
Answer:
a. y= f(x-1)
Step-by-step explanation:
___________
The perimeter of the parallelogram below is 50 cm and the length of AB = 10 cm. What is the length of side BC?
Answer:
15
Step-by-step explanation:
The length of BC=20cm I think
A measure that describes the typical value of a data set
a
measure of variation
b
mean absolute deviation
c
statistics
d
range
e
measure of center
f
statistical question
e
measure of center
as A measure that describes the typical value of a data set mean,median and mode.
There are 11 teachers and 132 students at a middle
school. What is the ratio of teachers to students?
Answer:
[tex]\frac{1}{12}[/tex] or 1:12
Step-by-step explanation:
There are 11 teachers : 132 students
Because ratios are just another way of writing fractions, by putting this into a fraction we get:
[tex]\frac{11}{132}[/tex]
Dividing both the numerator and denominator (top and bottom) by 11, we get:
[tex]\frac{1}{12}[/tex]
Thus, the ratio is [tex]\frac{1}{12}[/tex], or 1:12
What is the length of the hypotenuse?
Answer:
65 cm
Step-by-step explanation:
16^2 x 63^2 = 65^2
Which equation can be used to find A, the area of the parallelogram shown?
A parallelogram with a base six meters, height seven meters, and diagonal side length eleven meters
A = 6 × 7
A = 6 × 11
A = 12 × 6 × 7
A = 12 × 6 × 11
Answer:
A = 6 x 7
Step-by-step explanation:
To find the area of a parallelogram we use the equation of Area = base x height. In this case since the base is 6 and the height is 7, we plus in these numbers for the variables (b x h) to get the area.
Help pleasee want asap
Answer:
I'm pretty sure it is D since all the other ones are maximum value parabolas (and the questions asks for a minimum) other than D.
Juan is a teacher and takes home 68 papers to grade over the weekend. He can grade at a rate of 6 papers per hour. How many papers would Juan have remaining to grade after working for 7 hours?
Answer:
26 papers
Step-by-step explanation:
Well this is pretty straight forward
if he can grade 6 papers an hour
we just multiply 6 by 7 to get how many papers he graded in 7 hours
6*7= 42
now we subtract 42 from 68 to get how many papers are left to be graded
68-42=26
26 papers are left
Find the height of triangle
Answer:
60
Step-by-step explanation:
First, divide 120 by two and get 60. Now do 120-60 to get 60. Set up proportion
60/x = x/60.
Cross multiply
x^2 = 3600
and now find the square root of 3600
60
What is the diameter of a sphere with a volume of 334 cm", to the nearest tenth of a
centimeter?
Answer:
8.6cm
Step-by-step explanation:
V = 4/3 pi r^3 = 334, solve for r = 4.30
double for diameter = 8.61
Step-by-step explanation:
you can see there
just click the photo
how do i find the surface area of the sphere??
Answer:
98 π R
Step-by-step explanation:
Surface area of sphere = 4 π R²
= 2 π R × 2 R
= 49 π × 2 R
= 98 π R
Find the value of x and y.
Answer:
x=34[tex]\sqrt{2}[/tex]
y=34[tex]\sqrt{3}[/tex]
Step-by-step explanation:
please show your work
Answer:
52
Step-by-step explanation:
If JK bisects the angle, the two angles are equal
6x+2 = 8x-6
Subtract 6x from each side
6x-6x+2 = 8x-6x-6
2 = 2x-6
Add 6 to each side
2+6 =2x-6+6
8 =2x
Divide by 2
8/2 =2x/2
4 =x
Now find angle LJM, which is the sum of the two angles
6x+2 + 8x-6
14x -4
14*4-4
56-4
52
Answer:
D) 52
Step-by-step explanation:
since htere is an angle bisector that means that (6x+2) and (8x-6) are equal to each other
so
(6x+2)=(8x-6)
-6x -6x
2=2x-6
+6 +6
8=2x
/2 /2
x=4
no you plug x back into one of the equations so
6(4)+2=26
now 26x2=52
HELP NOW PLEASE I HAVE 10 MINUTES! 20 POINTS
If f(x) = 4x^2 + 1 and g(x) =x^2 - 5, find (f-g)(x)
Me and my procrastination habits smh
Also let me know if you can help with other questions I have 2 more
Slope:
2
3
y-intercept: (0,−6)xy0−63−4
The probability of saving a penalty kick from the opposing team is .617 for a soccer goalie. If 7 penalty kicks are shot at the goal, what is the probability
Answer:
0.2754
Step-by-step explanation:
Probability of saving a penalty kick = 0.617
p = 0.617 ; q = 1 - p = 1 - 0.617 = 0.383
number of trials, n = 7
Number of saves, x = 5
Using the binomial probability relation :
P(x = x) = nCx * p^x * q^(n-x)
P(x = 5) = 7C5 * 0.617^5 * 0.383^2
P(x = 5) = 21 * 0.0894181 * 0.146689
P(x = 5) = 0.2754
Enter a decimal that equivalent to 6/100
Answer:
0.06
Step-by-step explanation:
A circle of radius 1 is inside a circle of radius 5. The smaller circle is rotated clockwise
on the larger circle without slipping until it arrives back at its starting point P. How
many revolutions (turns) will the small circle make? Be careful. The answer is not 5.
9514 1404 393
Answer:
4
Step-by-step explanation:
Consider the arcs PQ and P'Q. When turns are made without slipping, these have the same measure. The length of arc PQ is ...
PQ = CP·θ
The length of arc P'Q is ...
P'Q = O₂Q·(∠PO₂Q)
Segment O₂A is parallel to CP, so angle AO₂Q is θ. Then ∠PO₂Q = θ+α, where α is the angle by which P' has rotated counterclockwise from A.
We are given that ...
CP = 5, O₂Q = 1
Using the above relations, we can write ...
5θ = 1(θ+α)
α = 4θ
That is, for every full turn θ = 2π, the smaller circle makes turns totalling 4(2π) = 8π, or 4 full turns.
The small circle makes 4 revolutions to arrive at its starting point.
Factorize completely 3ac+6ab-15a
Answer:
3a(c + 2b - 5)
Step-by-step explanation:
Step-by-step explanation: The greatest common factor for the 3 terms here is 3a so factor out a 3a and what we're left with inside the parentheses is each of the terms in the original polynomial divided by 3a.
So we have 3a(c + 2b - 5) which is our final answer.
HELPP(David saves 12 % of his monthly salary.
If he saves $17.75, what is his monthly
salary?)
Answer:
147.92
Step-by-step explanation:
Let the monthly salary be x
He saves 12 % and that is 17.75
x* 12% = 17.75
Change to decimal form
x *.12 = 17.17
Divide each side by .12
x*.12 /.12 = 17.75/.12
x =147.91666666
Rounding to the nearest cent
x = 147.92