Given:
A figure of a triangle.
To find:
The value of g.
Solution:
Law of Cosines:
[tex]a^2=b^2+c^2-2bccosA[/tex]
Using the Law of Cosines for the given triangle, we get
[tex]g^2=8^2+7^2-2(8)(7)cos(65^\circ)[/tex]
[tex]g^2=64+49-112(0.4226)[/tex]
[tex]g^2=113-47.3312[/tex]
[tex]g^2=65.6688[/tex]
Taking square root on both sides.
[tex]g=\sqrt{65.6688}[/tex]
[tex]g=8.10363[/tex]
[tex]g\approx 8.10[/tex]
Therefore, the value of g is about 8.10 units.
13.2 inches is 27.5% of what number?
Answer:
48
My explanations is:
13.2:27.5*100 =
(13.2*100):27.5 =
1320:27.5 = 48
Tia, Veronica, Pam, and Lily are sisters. Tia is 8 years old and she is 2 years older than Pam. Pam is 5 years younger than Veronica and Veronica is 4 years younger then Lily. Which list has the sisters in order from youngest to oldest?
Answer:
Pam 6
Tia 8
Veronica 11
Lily 15
Step-by-step explanation:
Tia's age = 8
Pam's age = Tia's age - 2
8 - 2 = 6
Veronica = pam's age + 5
6 + 5 = 11
Lily's age = veronica's age + 4
11 + 4 = 15
help me please this will help my grade !
Answer:
c. [tex]\sqrt{13}[/tex]
Step-by-step explanation:
the 13 will have an ongoing decimal
Answer:
The irrational number is C
Step-by-step explanation:
C can't be written as a rational number because it cannot be written as a fraction (n/d)
Keiko deposits $3000 into an account that pays simple interest at a rate of 2% per year. How much interest will she be paid in the first 5 years?
Answer:
Step-by-step explanation:
Simple interest is not compounded and is
I=Prt (where I=interest, P=principle, r=rate, t=time)
I=3000(.02)5
I=$300
A. The number of dollars is always more than the number of dimes.
B. The number of dimes will always be an even number.
C. The number of dollars must be even to follow the rule.
D. The number of dimes will always be less than the number of dollars.
Answer:
B. the number of dimes will always be an even number
Which postulate, if any can be used to prove the triangles congruent
Answer:
sss
Step-by-step explanation:
Remind???? anybody, or nobody???
Answer:
wdym? like the app remind?
Answer:
you have to download the remind app
4. What is the slope of the line that passes
through the points (-6, -30) and (12, 24)?
Which quadratic function in vertex form can be represented by the graph that has a vertex 3.-7) and posses
through the point (1.-10)
A-y=3/4(x+3)^2+7
B-y=-3/4(x+3)^2-7
C-y=3/4(x-3)^2+7
D-y=-3/4(x-3)^2-7
Answer:D
Step-by-step explanation:
Maria tiene hielo en su refrigerador a 7c en cierto momento saco la cubeta del congelador y olvido guardarla nuevamente luego de dos horas encontro la cubeta con agua a 3c cual es la diferencia entre la temperatura final y la final
La pregunta requiere que calculemos la diferencia entre la temperatura final e inicial del agua.
Responder:
4 ° C
Explicación paso a paso:
Dado que:
Temperatura inicial del agua = 7 ° C
La temperatura del agua después de 2 horas = 3 ° C
La diferencia de temperatura del agua;
Temperatura inicial - temperatura final
7 ° c - 3 ° c = 4 ° c
La diferencia de temperatura del agua es de 4 ° C
The probability that comic book reader in a particular city prefers comics published by company A is 25%. The probability that comic book reader in the city's is male 70%
Complete question is;
The probability that a comic book reader in a particular city prefers comics published by Company A is 25%. The probability that a comic book reader in the city is male is 70%. If the probability of a comic book reader in the city being a male, given that the reader prefers Company A's comics, is 40%, what is the probability of the reader preferring Company A's comics, given that the reader is a male?
Answer:
0.14 or 14%
Step-by-step explanation:
We are told that the probability that the comic book readers prefers comics published by company A is 25%.
Thus; P(A) = 25% = 0.25
Also, we are told that the probability that comic book reader is male 70%.
Thus; P(M_r) = 70% = 0.7
We are also told that the probability of a comic book reader being a male, provided that the reader prefers Company A's comics, is 40%.
Thus; P(A|M_r) = 40% = 0.4
To find the probability of the reader preferring Company A's comics, provided that the reader is a male, we will apply baye's theorem.
Thus;
P(M_r|A) = [P(A|M_r) × P(A)]/P(M)
P(M_r|A) = (0.4 × 0.25)/0.7
P(M_r|A) ≈ 0.14
A student has two part-time jobs. He earns $8.50 per hour for babysitting and $11.50 for each lawn he mows. If the student babysits for 512 hours and mows 7 lawns, how much money will he earn?
Answer:
$4,352 + $126.50= $4,478.50
Step-by-step explanation:
8.50 x 512 = 4,352
11.50 x 7 = 126.50
All together it equals
4,478.50
Hope this Helps! :)
Converting 165 pounds to the metric system results in a weight of
Answer:
74.8 kilo
Step-by-step explanation:
1. How long does it take running at a rate of 12m/s over a distance of 360m?
Step-by-step explanation:
T=D/S
D=360m
S=12m/s
360m÷12m/s
Time=30s
Cody starts the month of April with 5 action figures. Each month, he collects an additional 3 action figures.
Write an equation (in slope-intercept form) that matches Cody's situation.
Group of answer choices
y = 3x + 5
y = 5x + 3
y = 3x - 5
y = 5x - 3
Answer:
y= 3x + 5
Step-by-step explanation:
The +5 represents the starting 5 action figures, and the 3x represents the 3 action figures he collects each month.
2 sin^2 (x) + 3 sin (x) + 1 = 0
help me find the solution
Answer:
Step-by-step explanation:
\[2~ sin^2 x+3sin x+1=0\]
\[2sin^2x+2sin x+sin x+1=0\]
2sinx(sin x+1)+1(sin x+1)=0
(sin x+1)(2 sin x+1)=0
either sin x+1=0
sin x=-1=sin 3π/2=sin (2nπ+3π/2)
x=2nπ+3π/2,where n is an integer.
or 2sin x+1=0
sin x=-1/2=-sin π/6=sin (π+π/6),sin (2π-π/6)=sin (2nπ+7π/6),sin (2nπ+11π/6)
x=2nπ+7π/6,2nπ+11π/6,
where n is an integer.
A submarine is descending at a rate of 7 feet per second.
The two variables are:
f = the number of feet the sub descends
s = the number of seconds
The independent variable, , causes a change in
the dependent variable,
Answer:
The number of seconds, the number of feet the sub descends.
Step-by-step explanation:
Answer:
I just did it and I got it right so there is a pic for proof a pic that ma answer is right
Step-by-step explanation:
hi did i even send this
Answer:
A
Step-by-step explanation:
If we plug in the values for A and B we get 9(1/3^2)+3(5)-10. Then using simple math and order of operations, we get 6.
What is the perimeter of the track, in meters?
Use π = 3.14 and round to the nearest hundredth of a meter.
Answer:
I believe the answer is 426.08 meters.
Step-by-step explanation:
To find the perimeter, break the shape into a rectangle and two semicircles. As two semicircles make one circle, you can do 72×3.14 to get 226.08. Then, add the length of the rectangle. 100+100=200. Finally, do 226.08+200 to get your answer.
I hope this helped!
please help me i need it
Answer:
n umber 3 is b and 4 is d
Step-by-step explanation:
Can someone help me with math and thanks .!
Answer:
Step-by-step explanation:
1. A: 147 Degrees B: 33 Degrees
2. A: 121 Degrees B: 59 degrees
It would be the same as the other side.
enter the value for x that makes the equation, 4(x - 4) = 12x + 16 true.
Answer:
False your answer will 4x-16
Step-by-step explanation:
you have to distribute 4 to x and 4 to 4. so you will do 4*x=4x and 4*4=16. Now you still have the subtraction sign so your answer will be 4x-16.
What are all the values of r where the function.....
Please help ASAP!!!
solve the system by substitution y+X=3 2y+x=-5
Answer:
Step-by-step explanation:
We have the system:
y+x=3
2y+x=-5
the question asks us to solve by substitution..
Let's subtract y from both sides of the first equation
y+x=3
-y -y
x=3-y
now, let's substitute 3-y as x into the second equation
2y+3-y=-5
combine like terms
y+3=-5
subtract 3 from both sides
y=-8
so the value of y is -8
now let's use that information to solve for x; we know that x is 3-y, so let's substitute the value of y to find x
x=3-y
x=3--8
x=11
the value of x is 11
as a point, your answer is (11,-8)
Hope this helps! :D
Please help me its very urgent!
Answer:
there are no solutions
Step-by-step explanation:
Last week, the daily low temperatures for a city, in degrees Celsius, were 5, 8, 6, 5, 10, 7, and 1. What was the average low temperature?
degrees Celsius
Please help!
(2/5x +5) - (1/5x - 3)
Answer:
2x over 5 + 8 + -x over 5
Step-by-step explanation:
I dont know if this is what youre looking for but hope it helps!
Answer:
1/5x + 8
Step-by-step explanation:
Let's simplify step-by-step.
2/5x + 5 − (1/5x − 3)
Distribute the Negative Sign:
= 2/5x + 5 + −1( 1/5x −3)
= 2/5x + 5 + −1 (1/5x) + (−1) (−3)
= 2/5x + 5 + −1/5x + 3
Combine Like Terms:
= 2/5x + 5 + −1/5x + 3 = (2/5x + −1/5x) + (5 + 3)
= 1/5x + 8
Answer:
= 1/5x + 8
hope this helps. p.s. i really need brainliest :)
Solve for X. Round to the nearest tenth.
29
18
Answer:
x = 30.5
Step-by-step explanation:
cos(18º) = 29/x
Multiply both sides by x and divide both sides by cos(18º) to get
x = 29/cos(18º)
x = 30.5
help help help help help help help help
I believe the answer is (3,4)
(HELP ME ASAP PLEASE) Line r is the image of the linear equation below after a dilation of scale factor 2 centered at (- 1, - 2) . What is the equation of the line r? (Note: you will need graph paper to complete this problem!) 6x - y = - 6
Answer:
th equation of the line can be considered a linear function equation
Step-by-step explanation:
hope it helps