Answer:
[tex]x=6.183ft[/tex]
Step-by-step explanation:
From the question we are told that:
Angel of side [tex]T=90[/tex]
Angel of side [tex]R=82[/tex]
Length Side [tex]TR=44[/tex]
Generally the equation for Angle of side ST [tex]\theta[/tex] is mathematically given by
Since Angle in Triangle =180 therefore
[tex]\theta=180-(90+82)[/tex]
[tex]\theta=8[/tex]
Therefore Applying sine rule to get Length of ST x
[tex]\frac{x}{sin\theta}=\frac{TR}{sin82}[/tex]
[tex]x=\frac{44}{sin82}*sin8[/tex]
[tex]x=6.183ft[/tex]
h(x)=x−4h
What is the domain of h?
Answer:
h= x/ x+4
Step-by-step explanation:
Move all terms to the left side and set equal to zero, Then set each factor equal to zero.
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.
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
Use distributive property and then combine like terms to write an equivalent expression for:
4(y2 + 2) + 6x - 2y3 + 12x
Answer:
−2y3+4y2+18x+8
Step-by-step explanation:
Let's simplify step-by-step.
4(y2+2)+6x−2y3+12x
Distribute:
=(4)(y2)+(4)(2)+6x+−2y3+12x
=4y2+8+6x+−2y3+12x
Combine Like Terms:
=4y2+8+6x+−2y3+12x
=(−2y3)+(4y2)+(6x+12x)+(8)
=−2y3+4y2+18x+8
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
Which relation is a function?
Answer:
C
Step-by-step explanation:
if you don't have from same x different outcomes is a function
think that x is a day you count votes, you can not get for the same day different y number of votes ( something is fishy then)
A. not a function because (6, -3) and (6, 3)
B. not a function because (4,7) and (4,2)
C. is a function
D. not a function because (2, -1) (2,1) (2,3)
Jack tool out a 6-year loan for $25,000 to purchase a boat at a 4.5% interest rate. If the interest is compounded monthly, what will he have paid total over the course of the loan?
Answer:
A = $32,732.58
A = P + I where
P (principal) = $25,000.00
I (interest) = $7,732.58
Step-by-step explanation:
Given data
Time= 6 years
Principal= $25,000
Rate= 4.5%
First, convert R as a percent to r as a decimal
r = R/100
r = 4.5/100
r = 0.045 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 25,000.00(1 + 0.045/12)^(12)(6)
A = 25,000.00(1 + 0.00375)^(72)
A = $32,732.58
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
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.
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
.
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:
If - 2x + 3 = 7 and 3x + 1 = 5+ y, the value of y is
Answer:
The value for x is -2 and the value for y is -10 .
Step-by-step explanation:
Firstly , let's write the equations
-2x+3=7 ( equation 1 ) 3x+1 =5+y (equation 2 )
solving equation 1 to get the values of x
or , -2x+3=7
or, -2x+3-3 =7-3 (subtracting -3 on both sides )
or , -2x=4
or, -2x/2 = 4/2 (dividing by two on both sides )
or , -x =2
or x = -2
now let's substitute the values of x in the equation 2
3x+1 =5+y (writing second equation as it is )
or, 3x+1-1=5+y-1 (subtracting -1 on both sides )
or , 3x = 4+y
or , 3 × -2 = 4+y (substituting the values of x from equation 1 )
or , -6 = 4 +y
or , -6-4 = 4+y-4 ( subtracting -4 on both sides )
or , -10 = y
Therefore the values of x and y is -2 and -10 respectively .
Hope it helped you . If you find the answer useful please rate brainliest , If not Thanks anyway .
1. {26, 21, 28, 31, 9, 28, 16, 18, 21, 23, 29, 24, 19, 22, 25, 28}
Find the mean.
Find the Medium
Find the mode(s)
Find the range
Mean=23
Median=21.5 its a hard one to do so yeah
Modes=28
Range=22
No files!!!
Will give brainliest and please don’t guess
Answer:
i think its 54. i might be incorrect.
Step-by-step explanation:
Answer:
54º
Step-by-step explanation:
This really cannot be determined because the combined angle is not marked as 90º
let's assume it is 90º
(7x + 12) +(2x + 24) = 90
Combine like terms
9x + 36 = 90
Subtract 36 from both sides
9x = 54
Divide both sides by 9
x = 6
-----------------------
7(6) + 12 = 54º
2(6) + 24 = 36º
54º is the larger angle
Evaluate 5v + w for v = 4 and w = 16. Show work.
Answer:
36
Step-by-step explanation:
5(4)+16=20+16=36
Find the value of x and y.
Answer:
x=34[tex]\sqrt{2}[/tex]
y=34[tex]\sqrt{3}[/tex]
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.
who knows how to solve this problem
a = 3√3
a = 3 × 1.732
a = 5.196
a = 5.2 inches
hii! i’ll give brainliest pls help
Answer:
b is correct
Step-by-step explanation:
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 length of arc XW. Round your answer to the nearest hundredth.
Answer:
15.08 m
Step-by-step explanation:
The angle XZW :
XZW + 108° = 180°
XZW = 180° - 108°
XZW = 72°
Length of an arc = θ / 360 * πd
d = diameter = XV = 24
Length of arc XW = (72/360) * π * 24
Length of arc XW = 15.0796
Length of XW = 15.08 m
Answer:
15.08
Step-by-step explanation:
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
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.
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
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
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:
___________
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
What is the length of the hypotenuse?
Answer:
65 cm
Step-by-step explanation:
16^2 x 63^2 = 65^2
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.
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