The exact measurements for the lengths of the other sides of the triangle are 0.52 and 0.73m
To get the measure of the lengths of the other sides of the triangle, we need to get the third side first as shown:
Since the sum of the interior angle of a triangle is 180 degrees, hence;
30 + 45 + x = 180
75 + x = 180
x = 180 - 75
x = 105 degrees
Get the measure of the other sides using the sine rule;
1/sin 105 = x/sin 30 = y/sin 45
Get the measure of angle x
1/sin 105 = x/sin 30
x sin 105 = sin 30
x sin 105 = 0.5
x = 0.5/sin 105
x = 0.52m
1/sin 105 = x/sin 30 = y/sin 45
Get the measure of angle x
1/sin 105 = y/sin 45
y sin 105 = sin 45
x sin 105 = 0.0.7071
x = 0.7071/sin 105
x = 0.73m
Hence the exact measurements for the lengths of the other sides of the triangle are 0.52 and 0.73m
Learn more on sine rule here: https://brainly.com/question/15018190
Can anyone help me? Look at the pic!
Answer:
[tex]\frac{x^3}{y^7}[/tex]
Step-by-step explanation:
Negative exponents are rewritten as:
[tex]x^{-n}=\frac{1}{x^n}[/tex]
Therefore:
[tex]x^3y^{-7}=\frac{x^3}{y^7}[/tex]
I thinks the first multiple choices, look...the one that different other than choices.
Hope it helps, thanks!
Need help please!!!!!!!
Answer:
yes ASA
Step-by-step explanation:
What is the vertex of the graph of this function?
v = - (x + 2)(x+4)
Answer:
(-3,1)
Step-by-step explanation:
Hope this helps:)
9514 1404 393
Answer:
(-3 1)
Step-by-step explanation:
The x-intercepts of the function are the values of x that make the factors zero: x = -2, x = -4. The x-coordinate of the vertex is halfway between these values:
x = (-2 +(-4))/2 = -6/2 = -3
The y-coordinate of the vertex is the function value at that x-coordinate:
y = -(-3+2)(-3+4) = -(-1)(1) = 1
The coordinates of the vertex of the graph are (-3, 1).
PLS HELP ME UNDERSTAND THIS!!
Answer:
88.25
Step-by-step explanation:
possible answers: 1.5 × 108 km
1.5 × 10−8 km
Answer:
b
Step-by-step explanation:
PLEASE HELP a
23. A cell phone company charges $0.10 per
text message if a customer sends up to 100
messages per month. The company charges
$0.08 per text if a customer sends between
101-200 messages, and $0.06 per text if the
customer sends between 201-300 messages.
Today is the last day of the month. Tamira has
sent 200 text messages, is it worth it for her
to send 1 more text message? Explain.
SEE EXAMPLES 3 AND 4
The rate of the cell phone company is an illustration of a linear equation
It is worth it if Tamira sends an additional message
The parameters are given as:
Rate = 0.10 per message for up to 100 messages
Rate = 0.08 per message from 101 to 200 messages
Rate = 0.06 per message from 201 to 300 messages
If Tamira sends 200 messages, the total charge is:
[tex]\mathbf{Total = 0.08 * 200}[/tex]
[tex]\mathbf{Total = \$16}[/tex]
If Tamira sends an additional message to make it 201 messages, the total charge is:
[tex]\mathbf{Total = 0.06 * 201}[/tex]
[tex]\mathbf{Total = \$12.06}[/tex]
By comparison.
$12.06 is less than $16
This means that she spends less is she sends 201 messages.
Hence, it is worth it if Tamira sends an additional message
Read more about linear equations at:
https://brainly.com/question/11897796
HELPPPPPPPPPPPPPP PLSSSSSSSSSSSSSSSSSSS
Answer:
B
Step-by-step explanation:
3 + f = 14 [tex]\frac{2}{7}[/tex] ← change to improper fraction
3 + f = [tex]\frac{100}{7}[/tex] ( multiply through by 7 to clear the fraction )
21 + 7f = 100 ( subtract 21 from both sides )
7f = 79 ( divide both sides by 7 )
f = [tex]\frac{79}{7}[/tex] = 11 [tex]\frac{2}{7}[/tex] → B
Answer:
B. [tex]f=11\frac{2}{7}[/tex]
Step-by-step explanation:
We have the equation 3 + f = 14 2/7
We need to get f alone, doing so is subtracting three from both sides:
3 + f = 14 2/7
-3 = -3
14 2/7 - 3 = [11 2/7]
Leaving us with f = 11 2/7
This is B.
Please hurry, will mark brainliest if you answer correctly
Answer:
0
Step-by-step explanation:
25/5=5, 5+7=12, 4*3=12, 12-12=0
Answer:
The answer is 0
Step-by-step explanation:
The order of the operations is:
ParenthesisExponentsMultiplication and divisionAddition and subtractionSo first multiply [tex]4 \cdot 3 = 12[/tex] and after divide [tex]\frac{25}{5} = 5[/tex] and sum this result to 7 for substract to -12.
Susan's art class is 8 hours long. How long is her class in minutes?
Answer:
480
Step-by-step explanation:
Solve the following quadratic by
completing the square.
y = x2 - 6x + 7
Answer:
x = 5 or x = 1
Step-by-step explanation:
x² - 6x + 7 = 0
x² - 6x = -7
x² - 6x + 9 = -7 + 9 1/2 of the x term than square it and add it the both sides.
(x - 3)(x - 3) = 2
( x -3)² = 2
[tex]\sqrt{(x - 3)^2[/tex] = [tex]\sqrt{2}[/tex]
(x - 3) = ± 2
x - 3 = 2 or x - 3 = -2
x = 5 or x = 1
How many solutions does this system of equations have?
A. Infinitely many
B. None
C. Exactly one
D. Exactly two
Answer:
I think exactly two coz you can decide to use mitric method or elimination method ( I think)
Any one get this (I need the work) and pls answer A B C D
Answer:
aaaaaaaaaaaaaaaaaaaa
What is the slope of this line?
Please don’t send a link.
Look at image below
Solve the equation: -42 + w = 5
Hey there!
-42 + w = 5
w - 42 = 5
ADD 42 to BOTH SIDES
w - 42 + 42 = 5 + 42
CANCEL out: -42 + 42 because it gives you 0
KEEP: 5 + 42 because it helps you solve for the w-value
NEW EQUATION: w = 5 + 42
SIMPLIFY IT!
w = 47
Therefore, your answer is: w = 47
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
2p+5+3=180 HELPPPPPP
Answer:
this one is actually not that hard. the answer is around 2p = 125
Step-by-step explanation:
Answer:
p = 35
Step-by-step explanation:
2p + 5 + 3p = 180 (Linear Pair)
=> 5p + 5 = 180
=> 5p = 180 - 5
=> 5p = 175
=> p = 175/5
=> p = 35
(c). Under a set of controlled laboratory conditions, the size of the population P of a certain bacteria culture at time t (in seconds) is given by the function P(t)= 3t² +3e' +10, t≥0.
(1) What is the size of the population after 1 minute?
(ii) Find the average rate of change of P at t = 2 and t = 6?
(iii) How fast is the size of the population changing after 1 minute?
[Verify your answer by MATHEMATICA and attach the printout of the commands and output
(i) Since P(t) gives the population of the culture after t seconds, the population after 1 second is
P(1) = 3•1² + 3e¹ + 10 = 13 + 3e ≈ 21.155
In Mathematica, it's convenient to define a function:
P[t_] := 3t^2 + 3E^t + 10
(E is case-sensitive and must be capitalized. Alternatively, you could use Exp[t]. You can also specify that the argument t must be non-negative by entering a condition via P[t_ ;/ t >= 0], but that's not necessary.)
Then just evaluate P[1], or N[P[1]] or N <at symbol> P[1] or P[1] // N to get a numerical result.
(ii) The average rate of change of P(t) over an interval [a, b} is
(P(b) - P(a))/(b - a)
Then the ARoC between t = 2 and t = 6 is
(P(6) - P(2))/(6 - 2) ≈ 321.030
In M,
(P[6] - P[2])/(6 - 2)
and you can also include N just as before.
(iii) You want the instantaneous rate of change of P when t = 60 (since 1 minute = 60 seconds). Differentiate P :
P'(t) = 6t + 3e^t
Evaluate the derivative at t = 60 :
P'(60) = 6•60 + 3e⁶⁰ = 360 + 3e⁶⁰
The approximate value is quite large, so I'll just leave its exact value.
In M, the quickest way would be P'[60], or you can differentiate and replace (via ReplaceAll or /.) t with 60 as in D[P[t], t] /. t -> 60.
Which function is negative for the interval [1, 1]?
Please help me
Will give brainly if you answer the question
Answer:
For 30. the answer is D. For 31 the answer is B
Step-by-step explanation:
given m|| n, find the value of x.
Step-by-step explanation:
7x - 7 = 6x + 11
7x - 6x = 11 + 7
x = 18
Solution → x = 18
Fill in the table according to the following rules.
X: Add 3 to get the next term
Y: Add 2 to get the next term
Generate ordered pairs in the form (x,y) and plot
them on graph paper.
(Please help! I haven’t learned this yet this is a bonus question for our thanksgiving break packet! Btw there are 4 coordinates to be done on the paper, I will mark the correct answer Brainlyest!)
Answer:
the one under 00 for (x,y)
3,2
6,4
9,6
and then you just plot the points on the graph.
Step-by-step explanation:
At the beginning of May. Alice's checking account balance was $752. She wrote checks for $142, $37 and $172. She deposite $40, $80 and $35. What was her balance at the end of the month?
Answer:
$556
Step-by-step explanation:
$752 - $142 = $610
$610 - $37 = $573
$573 - $172 = $401
$401 + $40 = $441
$441 + $80 = $521
$521 + $35 = $556
Writing checks takes money out so you subtract.
Depositing money means putting in which means you add.
Help help help help help
The answer is 0.2 because the answer to the division would be 0.20125 and when it's rounded it gives you 0.2.
In the triangle below, which of the following is equivalent to the tangent of
62 ?
25
62
16
24
O A. 21
B.
7
25
C.
24
25
O D.
7
7
24
The tangent of 62 degree is 24/7 because tan is the ratio of side opposite to the angle to side adjacent to the angle option (A) is correct.
What is trigonometry?
Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have a right angle triangle shown in the picture with side length.
As we know the tan is the ratio of side opposite to the angle to side adjacent to the angle.
tan62 = 24/7
Thus, the tangent of 62 degree is 24/7 because tan is the ratio of side opposite to the angle to side adjacent to the angle option (A) is correct.
Learn more about trigonometry here:
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#SPJ1
Does anyone have 9-15?
pls help I need for tomorrow
Answer:
This was hard to answer, ugh. Does this help :(
Step-by-step explanation:
----------1---2 3/10-------2----------3
----------1-----2 2/5-----2----------3
A ratio uses __________ to compare the relative sizes of two quantities.
Answer: two
Step-by-step explanation:
Answer:
A ratio compares the relative sizes of two quantities
Step-by-step explanation:
Give possible values for the measures of angles A and C if ABC is a right triangle.
Answer:
0 < A < 90
0 < C < 90
Step-by-step explanation:
If B is the right angle of the triangle, then the sum of the other angles, A and C, must equate 90° since all angles in a triangle sum to 180°:
A + C = 90
A and C could both be anything between 0 and 90, but they must satisfy the equation above:
0 < A < 90
0 < C < 90
7+3 (2x - 5) = 3x +7
Which could be a step in solving the equation?
A. 10 (2x - 5) = 3x +7
B. 10 (2x + 2) = 3x + 7
O c. 7+ 6x - 15 = 3x + 7
OD. 7+ 5x – 2 = 3x + 7
HELP ASAP!! WILL MARK BRAINLIEST
Tomi’s band has won twice as many awards as Ali’s band. Write an algebraic expression for the number of awards Tomi’s band has won. Be sure to indicate what the variable in your expression represents.
Answer:
Step-by-step explanation:
Well find out how many rewards ali one them time that by 2 too see what answer you get you have to first figure out what
a reward ali one
Answer:
t = 2 * a
Step-by-step explanation:
Awards won by Tomi's band is t
Awards won by Ali's band is a
Equation for t
t = 2 * a
which graph shows the asymptotes of the function f(x)=4x-8/2x+3
Answer:
Vertical asymptotes: x = -3/2
Horizontal asymptotes: y = 2
