Answer:
1420
Step-by-step explanation:
delta math
The required length of n is 1419.5 cm which is determined by the Law of Cosines.
What is a Triangle?Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles.
In triangle ΔLMN,
l = 810 cm, m = 620 cm and ∠N=166°.
We have to determine the length of n
The Law of Cosines as it relates all three sides of a triangle with an angle of a triangle.
n² = l² + m² − 2lm cos(N)
Substitute the values in the above formula and solve for n
n² = 810² + 620² − 2 × 810 × 620 × cos(166°)
n² = 810² + 620² − 104400 × cos(166°)
n = ±1419.5
n = 1419.5, and n = - 1419.5
Neglected the value of n = - 1419.5 because length should not be negative.
n = 1419.5 cm
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Simplify by combining like terms: 9xy-3y-y-2xy+3
Answer:
7xy -4y + 3
Step-by-step explanation:
combine 9xy and -2xy (7xy - 3y -y +3)
combine -3y and -y (7xy - 4y + 3)
all done yay
can somebody help me?
Answer:
15x + 7
Step-by-step explanation:
i set this up
8x + 16 + 7x -9
the next step is to combine like terms
8x + 7x = 15x
16 - 9 = 7
15x = 7
15x + 7
Can someone help me
Answer:
The first one is a right angle (90-degree angle) The second one is an acute and obtuse angle. And the slope is y=2x-3
Step-by-step explanation:
Hope this Helped
Which of the following shapes is a prism? Select All that apply.
A. Shape 1: Circle
B. Shape 2: Cylinder
CShape 3: Rectangular Box
D. Shape 4: Cube
E. Shape 5: Pyramid
F. Shape 6: Cone
Answer:
C D
Step-by-step explanation:
If F(x) = 5x - 7 and G(X) = x2 - 41, what is G(F(x))?
O A. 5(x2 - 41) -7
O B. -5x +7x2 + 205x – 287
O C. (5-7 - 41
O D. 5x2 - 7x2 - 205x+287
Because of bad weather, the number of days next week that the captain of a charter fishing boat can leave port is uncertain. The following probability distribution for the number of days that the boat is able to leave port per week was determined based on historical data when the weather was poor: The number of days the boat can leave port per week Probability 0 0.20 1 0.05 2 0.05 3 0.05 4 0.15 5 0.10 6 0.15 7 0.25 Based on the probability distribution, what is the expected number of days per week the captain can leave port. Group of answer choices 3.55 4.00 3.50 4.05 2.85
Answer:
The expected number of days per week the captain can leave port is 4.05.
Step-by-step explanation:
We are given the following distribution:
[tex]P(X = 0) = 0.2[/tex]
[tex]P(X = 1) = 0.05[/tex]
[tex]P(X = 2) = 0.05[/tex]
[tex]P(X = 3) = 0.05[/tex]
[tex]P(X = 4) = 0.15[/tex]
[tex]P(X = 5) = 0.1[/tex]
[tex]P(X = 6) = 0.15[/tex]
[tex]P(X = 7) = 0.25[/tex]
What is the expected number of days per week the captain can leave port.
We multiply each outcome by its probability. So
[tex]E = 0*0.2 + 1*0.05 + 2*0.05 + 3*0.05 + 4*0.15 + 5*0.1 + 6*0.15 + 7*0.25 = 4.05[/tex]
The expected number of days per week the captain can leave port is 4.05.
k over 6 plus 8 equals 5
Answer:
k= -18
Step-by-step explanation:
k/6 +8=5 (subtract 8 from both sides)
k/6= -3 (Multiply by 6 on both sides)
k=-18
are z^3 and 3z equivalent expressions? explain.
Answer:
no, they are not.
Step-by-step explanation:
3z means a number multiplied by 3
so if z is 2, 3(2) = 6
but z^3 means z multiplied by z, and then multiplied by z again.
so if z is 2, it's 2x 2 = 4 x 2 = 8
let me know if you have questions
The two expressions are not equivalent to each other.
What are equivalent expressions?Equivalent expressions are expressions that are equal and synonyms to each other when used differently with various mathematical concepts.
From the expressions given:
z^33zThe first expression is a variable (z) raised to a power of 3. The power is also called an exponent.The second expression is a variable(z) that has a coefficient of 3Let us assume that:
z^3 = 3z
Now, let's replace 2 for the value of z on both sides, we have:
(2)^3 = 3(2)
8 ≠ 6
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Jaleah needs some string to make bracelets. She needs
enough string to make 32 bracelets. Each bracelet takes 9 3/4
inches of string. How much string will Jaleah need to make
the bracelets?
Answer:
312
Step-by-step explanation:
3/4 × 32 = 24
9 × 32 = 288
288 +24=312
ng 20-21
POSSIBLE POINTS: 10
In the school store, you can buy 20 calculators for $120. You want to buy 5 calculators. The table below represents the cost of different numbers of
calculators. Complete the table and explain the mathematical process you used to determine the cost of 5 calculators.
you would spend $30
Step-by-step explanation:
if 20 calculator cost 120 then you would divide 20 by 120 which would give you 6 dollars per calculator then you would multiply that by 5 which would give you a $30 for five calculators.
Answer:
where is the table?
I am just telling you how to get the cost of 5 calculators...
Step-by-step explanation:
Cost of 20 cal.=$120
Cost of 1 cal.=120/20
So,
cost of 5 calculators=
120/20*5
=$30
Hope it helps you
Can someone please help!!!
Answer: {t| t ≥ 2}
Step-by-step explanation:
3t - 6 ≥ t - 2
-t -t
---------------------
2t - 6 ≥ -2
+6 +6
---------------------
2t ≥ 4
t ≥ 2
ILL MARK BRAINLYEST
Which statement is true. Supplementary angles:
Group of answer choices
are congruent
add up to 180 degrees
are two angles inside a triangle
add up to 90 degrees
Step-by-step explanation:
Supplementary angles add up to 180 degrees
Complementary angles add up to 90 degrees
It is just a rule that is important to geometry
I hope that helps :)
Answer:
Add up to 180 degrees
Step-by-step explanation:
Supplementary angles can be two separate angles and the acute angles of a right triangle are complementary which make option 3 false. They are not always congruent and do not add up to 90 degree in total. Making option 1 and 4 false as well.
the tax on a purchase of $20 is $2.80. How much tax will there be on a purchase of $45.50?
Answer:
$6.37
Step-by-step explanation:
You divide 2.80 by 20 to find the percentage of tax then you simply multiply your percentange by the cost. In this problem the tax was 14% or .14, so you multiply .14 by 45.50 to find the amount of tax on the purchase
Find the solution of the system of equations. -3x – 2y = 36 3х – 5y = 6
Answer:
y = -6
x = -8
Step-by-step explanation:
I hope you can read my handwriting.
Have a wonderful day!
What ordered pairs name the locations of points P and Q?
Answer:
See below
Step-by-step explanation:
P(-4, 2)
Q(-3, 0)
PLEASE PLEASE PLEASE HURRY!!!! I WILL GIVE BRAINLIEST!!!!!!!!!!!!! Which TWO ARE CORRECT?
Answer: D and E I'm sure
dy/dx=2xy/x²+y² solve
Answer:
[tex]y=\frac{-1}{2} \sqrt[]{4x^2+4c_{1}^2} -c_{1}\ or \ \frac{1}{2} \sqrt[]{4x^2+4c_{1}^2} -c_{1}[/tex]
Step-by-step explanation:
As it is first order nonlinear ordinary differential equation
Let y(x) = x v(x)
2xy/(x²+y²)=2v/(v^2+1)
dy=xdv+vdx
dy/dx=d(dv/dx)+v
x(dv/dx)+v=(2v)/(v^2+1)
dv/dx=[(2v)/(v^2+1)-v]/x
[tex]\frac{dv}{dx}=\frac{-(v^2-1)v}{x(v^2+1)}[/tex]
[tex]\frac{v^2+1}{(v^2-1)v}dv=\frac{-1}{x}dx[/tex]
∫[tex]\frac{v^2+1}{(v^2-1)v}dv[/tex] = ∫[tex]\frac{-1}{x}dx[/tex]u=v^2
du=2vdv
Left hand side:
∫[tex]\frac{v^2+1}{v(v^2-1)}dv[/tex]
=∫[tex]\frac{u+1}{2u(u-1)}du[/tex]
=[tex]\frac{1}{2}[/tex]∫[tex](\frac{2}{u-1} -\frac{1}{u} )du[/tex]
=[tex]ln(u-1)-\frac{ln(u)}{2} +c[/tex]
=[tex]ln(v^2-1)-\frac{ln(v^2)}{2}+c[/tex]
Right hand side:
[tex]=-ln(x)[/tex]
Solve for v:
[tex]v=-\frac{-c_{1}+\sqrt{c_{2}+4x^2 } }{2x} \ or \ \frac{-c_{1}+\sqrt{c_{2}+4x^2 } }{2x}\\[/tex]
[tex]y=\frac{-1}{2} \sqrt[]{4x^2+4c_{1}^2} -c_{1}\ or \ \frac{1}{2} \sqrt[]{4x^2+4c_{1}^2} -c_{1}[/tex]
A triangle has sides with lengths of 4 meters, 5 meters, and 6 meters. Is it a right triangle?
Answer:
no
Step-by-step explanation:
because no pythagoras formula work here
Answer:
Lets solve it by phythagoras therom
[tex]alt^{2}[/tex] + [tex]base^{2}[/tex] = [tex]hypo^{2}[/tex]
[tex]6^{2}[/tex] = [tex]4^{2}[/tex] + [tex]5^{2}[/tex]
so, [tex]4^{2}[/tex] + [tex]5^{2}[/tex] would be equal to [tex]6^{2}[/tex]
[tex]4^{2}[/tex] + [tex]5^{2}[/tex] = 16 + 25
= 41
[tex]6^{2}[/tex] = 36
41 is not equal to 36
So it is not a right angled tringle.
Hope it helps
Please mark me as the brainliest
thank you
Helpppp!!! Pleaseeee
Answer:I’m pretty sure it’s 90
Step-by-step explanation:
Answer:
tan 60=√3/t
t=√3/√3=1 is your answer
Graph f(x)=|x+1|+2. Shows vertex and 4 points.
Answer:
[tex](-1,2)[/tex]
Step-by-step explanation:
The vertex of [tex]f(x)=|x|[/tex] is [tex](0,0)[/tex]
The +1 inside the absolute value horizontally shifts the graph 1 unit to the left.
The+2 outside the absolute value vertically shifts the graph 2 units upward.
So, the vertex of the graph of [tex]f(x)=|x+1|+2[/tex] is [tex](-1,2)[/tex]
A school bus carries 20 students. There are
currently 215 students in the 7th grade. How many
school buses are needed to take the 7th grade on a
field trip?
Answer:
11 buses
Step-by-step explanation:
215 divided by 20 is 10.75 and rounding up makes more sense for this problem, so 11 buses would be needed to carry the entire 7th grade.
Help me please i will give brainliest
Answer:
1. C. x^8
2. C. 3^9
3. D. 12x^7
Step-by-step explanation:
1.
x^6 * x^2 = x^(6 + 2) = x^8
Answer: C. x^8
2.
3^2 * 3^3 * 3^4 = 3^2 + 3 + 4) = 3^9
Answer: C. 3^9
3.
3x^2 * 4x^5 = 3 * 4 * x^2 * x^5 = 12x^(2 + 5) = 12x^7
Answer: D. 12x^7
The pet store had food priced at $10 and now is priced at $18. What is the percent markup?
Answer:
180%
Step-by-step explanation:
help please<333 with an explanation <333 :]]]
A group of five students have a mean test score of "34.2." Another student has a score of 50. What is the mean average of all "six" students?
Answer:
The mean average of all "six" students is 36.83.
Step-by-step explanation:
Mean:
The mean is the sum of all scores divided by the number of scores.
A group of five students have a mean test score of "34.2." Another student has a score of 50.
This means that the sum is given by:
[tex]S = 5*34.2 + 50 = 171 + 50 = 221[/tex]
What is the mean average of all "six" students?
Sum of 6 students is 221. So
[tex]M = \frac{221}{6} = 36.83[/tex]
The mean average of all "six" students is 36.83.
A new store is handing out small gifts to the customers who come in. Elizabeth is handing out pens of various colors. She has determined that the chance of a customer receiving a blue pen is 0.008. Ricardo is handing out tote bags of various colors He has determined that the chance of a customer receiving a blue tote bag is 0.04. What statement describes the likelihood of a customer getting a blue tote bag or blue pen?
Answer:
4.8% probability of a customer getting a blue tote bag or blue pen.
Step-by-step explanation:
We have these following probabilities:
0.008 probability of a customer receiving a blue pen.
0.04 probability of a customer receiing a blue tote bag.
What statement describes the likelihood of a customer getting a blue tote bag or blue pen?
Independent events, so
0.008 + 0.04 = 0.048 = 4.8% probability of a customer getting a blue tote bag or blue pen.
Lainey brought a set of 22 markers for $6. What is the cost of 1 marker? Round answers to the nearest hundredths where necessary.
10
8
6
Distance (mi)
4
2.
o
20 30 40 50
Time (min)
The graph above shows Tomasso's rate
while jogging. Which of the following is an
ordered pair on the graph?
A (10, 1)
B (15, 3)
C (30,5)
Answer:
the answer should be A as thats what its showing on the graph
Which equation has no real solutions?
) −2x2=−168
) 4x2+ 76 = 32
) 25x2= 1
) 43 −x2= 12
Answer:
Step-by-step explanation:
4x² + 76 = 32
4x² = -44
x² = -11
but x² must be non-negative, so there is no real solution.
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((