Answer:
B = 58°a = 6.6896c = 1.5915Step-by-step explanation:
Given two angles and the side between them, the first step must be to find the value of the third angle, the one opposite the given side. It will be ...
B = 180° -A -C = 180° -109° -13° = 58°
Using this information and the Law of Sines, you can find the remaining sides.
a/sin(A) = b/sin(B) = c/sin(C)
__
Then the missing sides are ...
a = b(sin(A)/sin(B)) = 6(sin(109°)/sin(58°)) ≈ 6.6896
c = b(sin(C)/sin(B)) = 6(sin(13°)/sin(58°)) ≈ 1.5915
The missing measures are ...
B = 58°
a = 6.6896
c = 1.5915
Answer: make sure to round !!B = 58°
a = 6.7
c = 1.6
Step-by-step explanation:
Which sets of points represent one-to-one functions?
-
f = {(1,2), (2,3), (3,4), (4,5), (5,6), (6,7), (7,8), (8,8)}
-
g = {(1,2), (3,3), (5,4), (7,4), (9,4), (11,4), (13,4), (17,4)}
-
h = {(1,6), (2,3), (3,16), (4,21), (5,27), (6,36), (7,48), (8,56)}
-
i = {(0,1), (1,3), (3,5), (5,3), (7,4), (9,6), (11,9), (13,10)}
-
j = {(2,6), (4,16), (6,26), (8,36), (10,16), (12,56), (14,66), (16,16)}
-
k = {(2,6), (4,16), (6,26), (8,36), (10,46), (12,56), (14,66), (16,76)}
==========================================================
Explanation:
A function is only possible if the x values do not repeat. A relation is considered one-to-one only if the y values do not repeat. We combine the two ideas. If we want a one-to-one function, then neither x nor y can repeat.
Function f has y = 8 repeating, so it is not one-to-oneFunction g is a similar story but y = 4 repeats.Function h has all unique x values, and all unique y values. This function is one-to-one.Function i has y = 3 repeating, so it is not one-to-one.Function j has y = 16 show up more than once, so it is not one-to-one.Function k has all unique x values, and all unique y values. This function is one-to-one.Note: if we had two points like (1,2) and (3,1), then it is still one-to-one (even though the digit 1 shows up twice). This is because the set of x values {1,3} is unique, and so is the set of y values {2,1}. We look at each set separately and not combine the two sets.
Answer:
H = {(1,6), (2,3), (3,16), (4,21), (5,27), (6,36), (7,48), (8,56)}
K = {(2,6), (4,16), (6,26), (8,36), (10,46), (12,56), (14,66), (16,76)}
explanation: PLATO/EDMENTUM
Steve works two different jobs for a total of 60 hours every Monday through Friday schedule is the same each day and he works three hours a day at his first job how many hours a day does he work at his second job
Answer:
Step-by-step explanation:
Steve works:
- 60 hour per week = 12 hours per day (60/5)
- first job: 3 hours per day = 15 hours per week
- x = second job hours per day
equitation:
1st option to calculate:
12 (total hours per day) = 3 (hours per day on first job) + X
9 = X
2nd option to calculate:
60(total hours per week) = 15 (3 hours per day x 5) + x
45 = x
you need to divide 45 / 5 to get the daily hours which is 9
Point B is on line segment AC. Given BC=9 and AB=11, determine the length AC.
Answer:
[tex]AC=20[/tex]
Step-by-step explanation:
The line segment AC is the entire length of the line. Within this segment, point B is found.
Point B, in a way, splits the segment into two, creating the segments AB and BC.
To find the length of AC, add the lengths of the lines AB and BC together:
[tex]AB=11\\BC=9\\AB+BC=AC\\11+9=AC\\20=AC[/tex]
The length of AC is 20.
:Done
Answer:
20 units.
Step-by-step explanation:
Segment AC is broken into two parts by point B. That means that the length of segment AB plus the length of segment BC equals the length of segment AC.
If BC = 9, and AB = 11, AC = 9 + 11 = 20 units.
Hope this helps!
please help will give you a 5 star rating
Answer:
3
Step-by-step explanation:
To find the average rate of change
f(0) - f(-2)
-----------------
0 - -2
Taking the values for f(0) = 6 and f(-2) =0
6 - 0
---------
0+2
6/2
3
Answer:
Slope I think its says, so: 3
Step-by-step explanation:
Take
6 = y2 , 0 = y1 , 0 = x2 , -2 = x1
y2 - y1 over x2 - x1
6-0
0+2 (because 2 is negative)
=
6/2
which reduced makes 3!
Hope this helps, and have a good day.
And for the 0 + 2:
its
0 - ( - 2 )
- ( - makes a big plus so add :)
Paul, a dentist, determined that the number of cavities that develops in his patient's mouth each year varies inversely to the number of seconds spent brushing each night. His patient, Lori, had 4 cavities when brushing her teeth 30 seconds each night. Write the equation that relates the number of cavities, c, to the time, t, spent brushing. How many cavities would Paul expect Lori to have if she had brushed her teeth for 120 seconds each night?
Answer:
Step-by-step explanation:
Inverse variation is written as
[tex]y=\frac{k}{x}[/tex] which, in words, says "y varies inversely with x". If cavities varies inversely with time brushing, then
[tex]c=\frac{k}{t}[/tex]
We are given the initial condition for which we need to solve for k:
c = 4 when t = 30:
[tex]4=\frac{k}{30}[/tex] so
k = 120.
Now we will use that value of k to solve the problem of how many cavities, c, would she have if she brushed her teeth 120 seconds, t, each night:
[tex]c=\frac{120}{120}[/tex] (the 120 on top is the k value and the 120 on the bottom is the number of seconds she brushed) to get
c = 1
Answer:
1 cavity
Step-by-step explanation:
The inverse equation is x*y=k, where x is the amount of cavities, y is the time brushed, and k is a constant number. In your scenario, x is c and y is t, but you can really use any name for the variable. In the first equation 23 have 4*30=120, which is just a constant number. now that we know our constant, we can plug is into our second equation, and we get c*120=120. By dividing both sides by 120, c=1. This means that Paul will have 1 cavity.
Identify the Mapping MNJ —> EDC
Translation
Rotation
Reflection
Glide Reflection
Answer:
The answer is rotation.
it’s either A or B but idk, i’ll give brainliest :)
Answer:
Actually it's A.
Step-by-step explanation:
A circle has a circumference of 153.86153.86153, point, 86 units.
What is the radius of the circle?
Answer:
Step-by-step explanation:
C=153.86153...
100000C=15386153.86153...
subtract
99999C=15386000
C=15386000/99999
2 π r=15386000/99999
r=7693000/99999π≈24.5
Find the value of X
5x-6
3x+8
[tex]\\ \rm\Rrightarrow 5x-6=3x+8[/tex]
[tex]\\ \rm\Rrightarrow 5x-3x=8+6[/tex]
[tex]\\ \rm\Rrightarrow 2x=14[/tex]
[tex]\\ \rm\Rrightarrow x=\dfrac{14}{2}[/tex]
[tex]\\ \rm\Rrightarrow x=7[/tex]
Whats 782,835 divided by 5?
Answer:
156,567
Step-by-step explanation:
782,835 ÷ 5 = 156,567
Answer:
it is 165,567
Step-by-step explanation:
u divide
What is |3| = ? -3 0 3
Answer:
3
Step-by-step explanation:
the absolute meaning of a number is never a negative number
Thomas loves tomatoes. He plans to fill the container shown below with soil to grow his own tomato
plants. The dimensions of the container are shown in inches.
umi
ndo
20 in
geo
10 in-
How much soil will the container hold?
Either enter an exact answer in terms of or use 3.14 for .
inches?
Given that
Height of container is 20 inches .Radius of base is 10 inches .To Find
Volume of container .Formula
Volume of cylinder is πr²hSolution
→ Volume = πr²h
Using π as 3.14
→ 3.14 × 10 × 10 × 20 = Volume
→ 314 × 20 = Volume
→ 6280 inches² is the holding capacity of the container.
Answer:
6280
Step-by-step explanation:
this is correct on khan academy
Please answer this question now
Answer:
112°
Step-by-step explanation:
Arc CD is part of arc BCD, which is intercepted by the inscribed angle A.
Based on the inscribed angle theorem on circle, the sum of arc CD and CB is twice the measure of angle A.
That is:
CD + CB = 2(129°)
CD + 146 = 2*129
CD + 146 = 258
Subtract 146 from both sides to find CD
CD + 146 - 146 = 258 - 146
CD = 112°
Simplify:
5x+2(3−2x)+7
x + 13
12x
9x + 13
Answer:
x+13
Step-by-step explanation:
The answer would be 1 or uh.. x+13
Pls help Q16 thx guys
Answer:
35°
Step-by-step explanation:
Extending line BC to point E on line AD
angle CED = 20° + 95°= 115°
ang|BCD|= ang|CED| + y
150°=115° + y
y= 150° - 115°
y= 35°
Answer:
y = 35°°
Step-by-step explanation:
∠BCD = 360 - 150 = 210°
Sum of angles of quadrilateral = 360°
210 + 20 + 95 + y = 360
325 +y = 360
Subtract 325 form both sides
y = 360 - 325
y =35°
Please help solve both due soon
Answer:
x is 7
EF is 10
FG is 12
Step-by-step explanation:
[tex]EF + FG = EG \\ (4x - 18) + (3x - 9) = 22 \\ 7x - 27 = 22 \\ 7x = 49 \\ x = 7[/tex]
then substitute:
[tex]EF = 4x - 18 \\ EF = 4(7) - 18 \\EF = 28 - 18 \\ EF = 10[/tex]
[tex]FG = 3x - 9 \\ FG = 3(7) - 9 \\FG = 21 - 9 \\ FG = 12[/tex]
First question:
BC + BA = CA
BC = CA - BA
BC = 36 - 9
BC = 27
MP Find the Error Katrina states that
3.5 X 104 is greater than 2.1 x 106 because
3.5 > 2.1. Explain her mistake and correct it.
Answer:
3.5 X 10^4 < 2.1 x 10^6
Step-by-step explanation:
3.5 X 10^4 < 2.1 x 10^6
The first thing we look at is the exponent
10 ^4 is less than 10^6
10000 < 1000000
If the exponents are the same, then we look at the numbers out front
trigonometric identities help
Answer:
5/13
Step-by-step explanation:
Sin = 12/13
cos= 5/13
Tan= 12/5
Can i please have help thanks.
Answer:
[tex] q = 2(3r + 8) [/tex]
Step-by-step explanation:
There are two variables, q and r in the expression given. To make r the independent variable, it simply means, make q the subject of the formula, so that variable q would be dependent on variable r. As r changes, q changes also.
Thus,
[tex] q - 10 = 6(r + 1) [/tex]
Open the parenthesis
[tex] q - 10 = 6r + 6 [/tex]
Add 10 to both sides
[tex] q - 10 + 10 = 6r + 6 + 10 [/tex]
[tex] q = 6r + 16 [/tex]
[tex] q = 2(3r + 8) [/tex]
please please please help me with this assignment :)
Answer:
$45.63
Step-by-step explanation:
[tex]50,145 cm^{3} * 2.6 g/cm^3 = 130,377 g\\130,377 g = 130.377 kg\\130.377 kg * $0.35/kg = $45.63\\[/tex]
or all together
50,145 cm³ * 2.6 g/cm³ * 0.35/kg = $45.63
graph the line that passes through the points (-3,-7) and (-2,-7) and determine the equation of the line
Answer:
y = -7
Step-by-step explanation:
y2 - y1 / x2 - x1
-7 - (-7) / -2 - (-3)
0/1
= 0
y = 0x + b
-7 = 0(-2) + b
-7 = 0 + b
b = -7
2.2.4.4.4=
plzz help
Answer:
what is this question ??
This answer will also same 2.2.4.4.4=2.2.4.4.4
0.135 written as a fraction is _____.
27/200
5/37
27/100
Answer:
27/200
Step-by-step explanation:
To write 0.135 as a fraction you have to write 0.135 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number. 0.135 = 0.135/1 = 1.35/10 = 13.5/100 = 135/1000
Answer:
27/200
Step-by-step explanation:
your teacher tried to be tricky.
0.135 is simply 135/1000.
that is how you can express any finite decimal number.
anyway, now, we need to transform that fraction into one of the provided fractions. so, which one fits ?
with experience you see it right away. otherwise by simply trying.
in any case, the first option is the right one.
proof :
27/200 = 135/1000 ?
the denominator is our driver : what factor do I need to turn 200 into 1000 ? right, 5 ! 200×5 = 1000
so, we multiply numerator and denominator by 5 (it is important to do that for both, so that the value of the fraction does not change).
27/200 × 5/5 = (27×5) / (200×5) = 135/1000
and that is the proof. 27/200 is indeed 0.135
Help me come up with a YT name plz. I’m looking for something that POPS, but I keep coming up with the same names/words.
s=(n(a_(1)+a_(n)))/(2)
Answer:
tokyo
Step-by-step explanation:
Write parametric equations of the line [tex]-4x+y=-2[/tex]
a. [tex]x=t, y=4t-2[/tex]
b. [tex]x=t, y=-4t-2[/tex]
c. [tex]x=t, y=4t+2[/tex]
d. [tex]x=t, y=-4t+2[/tex]
Answer:
Option a
Step-by-step explanation:
Assign a value to variable x =t
Eq becomes
-4t+y=-2
y=4t-2
Please Help Asap will give brainliest!!! M(9, 8) is the midpoint of side RS.The coordinates of S are (10, 10). What are the coordinates of R? No nonsense answers will report and give explanation plz.
the change in x is 1 and 2 in y respectively
the points are in order from r (x,y) to m (9,8) to s (10,10
if we take - 1 from x and 2 from y we will get r, or (8,6)
Solve. 100+[12×{20−(10÷5)}]
Answer:
316
Step-by-step explanation:
Find the missing value. Hint: Use the number line to find the missing value. − 7 = −7=minus, 7, equals − ( − 2 ) −(−2)minus, left parenthesis, minus, 2, right parenthesis
Answer:
The missing value is -9
Step-by-step explanation:
Given
[tex]-7 = _ -(-2)[/tex]
Required
Determine the missing value
Represent _ with a variable
[tex]-7 = x -(-2)[/tex]
Open the bracket
[tex]-7 = x -1*-2[/tex]
[tex]-7 = x + 2[/tex]
Subtract 2 from both sides
[tex]-7 - 2 = x + 2 - 2[/tex]
[tex]-9 = x[/tex]
Reorder
[tex]x = -9[/tex]
Hence, the missing value is -9
Answer:
The answer is 4=−2+6
Step-by-step explanation:
I checked on khan
in a 10 team league, each teams play every other team exactly twice. find the total number of games played in the league
Addition can be defined as the process of adding two numbers. The total number of games played in the league is 90.
What is Addition?Addition can be defined as the process of adding two numbers such that the result is the combined value of the two numbers.
Given that in a 10-team league, each team play every other team exactly twice. Therefore, the total number of games that will be played by the first team is 18, similarly, the number of games that will be played by the second team is 16.
Therefore, as mentioned above the series will continue with a common difference of -2 and will continue till 0. Thus, the total number of games played in the league is,
Total number of games = 18 + 16 + 14 + 12 + 10 + 8 + 6 + 4 + 2 = 90
Learn more about Addition:
https://brainly.com/question/13167637
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