In triangle ABC, we know that angle A is 37.4 degrees, side a is 3.1 units long, and side c is 18.4 units long. To find the remaining angles B and C, we can use the law of cosines, which states that c^2 = a^2 + b^2 - 2ab*cos(C), where b is the length of side b and C is the angle opposite to side c. Rearranging this equation, we get cos(C) = (a^2 + b^2 - c^2) / 2ab. Using the given values, we can plug them into this equation and solve for cos(C). Then we can use the inverse cosine function to find angle C. Similarly, we can use the law of sines to find angle B.
Given that angle A is 37.4 degrees, side a is 3.1 units long, and side c is 18.4 units long, we need to find the remaining angles B and C in triangle ABC. We can use the law of cosines to solve for cos(C) first.
c^2 = a^2 + b^2 - 2ab*cos(C)
(18.4)^2 = (3.1)^2 + b^2 - 2(3.1)(b)*cos(C)
Simplifying and rearranging, we get:
cos(C) = (b^2 + (3.1)^2 - (18.4)^2) / (2*3.1*b)
cos(C) = (b^2 - 343.99) / (6.2b)
Now we can use the inverse cosine function to solve for angle C:
C = cos^(-1)((b^2 - 343.99) / (6.2b))
Next, we can use the law of sines to solve for angle B:
sin(B) / 3.1 = sin(C) / 18.4
sin(B) = (3.1 * sin(C)) / 18.4
B = sin^(-1)((3.1 * sin(C)) / 18.4)
We can now substitute the value we found for cos(C) into these equations to get the values of angles B and C.
Using the given values of angle A, side a, and side c, we can use the law of cosines and the law of sines to solve for the remaining angles B and C in triangle ABC. The final answer depends on the value of side b, which we did not have. Therefore, choice B is the correct answer, which states that there are two possible sets of remaining angles, depending on the length of side b.
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The temperature is −3.4 degrees Celsius. The temperature goes down 7.9 by degrees. What is the new temperature? pls help me its due in 10
Answer:
-11.3 is the answer
Step-by-step explanation:
because -3.4-7.9= -11.3
Jenna's profit for selling 38 felt ornaments is $104.50. Suppose Jenna keeps track of the number of sales (x) and profit
(y) on a graph. Which statements are correct?
Answer:
B and E
Step-by-step explanation:
trust me its correct
Combine like terms to write an equivalent expression. Then complete the statements.
2f + 5 + f – 3
The constants, _________, are like terms.
_________ are also like terms.
Combine the constant terms by __________
Combine the variable terms by adding the _________
The equivalent expression is ________
Answer:
The constants, 5 and -3, are like terms
2f and f are also like terms. Combine the constant terms by adding them together.
Combine the variable terms by adding the
Equivalent expression is 3f+2
Step-by-step explanation:
Like terms are terms that are the same so in this case the variables are like terms. And the constants or just the numbers are the same.
(3f and f)
(5 and -3)
On a coordinate plane, if you take a point from (2, -5) and move it up 3 units to point "A" what is the distance of point a to coordinates (5, 0)?
A. 3
B. Square root of 11
C. Square root of 13
D. 5
Answer:
C
Step-by-step explanation:
(2,-5) move up three steps is (2, -2). if you draw it on a paper(and draw lines to connect them), you can see that they form a right triangle. apply a²+b²=c² and you should get 3²+2²=(√13)²
First we need to find the point after the translation of 3 units up.
(2,-5)->(2,-2)
Now we have the point (2,-2) we just need to use the difference formula to find the distance between this point and (5,0)
Distance=[tex]\sqrt{(5-2)^2+(0-(-2))^2}[/tex]
Now we need to simplify/solve this expression
=[tex]\sqrt{3^2+2^2}[/tex]
=[tex]\sqrt13[/tex]
Therefore the answer is C!
Solve the system of equations by elimination:
−5x+3y=2
−5x−5y=−30
Answer: 1 : -5x + 3y = 2 Equation 2 : -5x - 5y = -30 Because both equations the system of equations by elimination.
Answer:
(2,4)
Step-by-step explanation:
multiply both sides by -1
-5x+3y=2
5x+5y=30
sum the equations vertically to eliminate at least one variable
8y=32
divide both sides by 8
8÷32=4
y=4
substitute the given value of y into the equation
-5+3×4=2
solve the equation for X
x=2
check ordered pair (2,4) is the solution of the system of equations
-5×2+3×4=2
-5×2-5×4= -30
2=2
-30=-30
solution is (2,4)
The ratio of one side of ACDE to the corresponding side of a similar AFGH IS 2:5. The perimeter of A CDEIS 9.2 inches.
Find the perimeter of AFGH.
Answer:
25:16 is the ans hope that helps!
9514 1404 393
Answer:
23 inches
Step-by-step explanation:
The perimeters have the same ratio. Multiplying the ratio figures by 4.6 gives ...
2 : 5 = (4.6)2 : (4.6)5 = 9.2 : 23
The perimeter of ΔFGH is 23 inches.
What is the value of y in the product of powers below? 8^3x8^-5x8^y=8^-2=1/8^2
Find the surface area.
17 ft
8 ft.
20 ft
15 ft
Need this fast
Answer:
920 square feet
Step-by-step explanation:
Top: 20 * 17 = 340
Side triangles: 8 * 15 / 2 = 60
2 side triangles: 60 * 2 = 120
Back rectangle: 8 * 20 = 160
Bottom rectangle: 15 * 20 = 300
All of them: 340 + 120 + 160 + 300 = 920
The surface area is the sum of the area of the two similar triangles and the area of the three rectangles. Then the surface area of the geometry will be 920 square feet.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
The surface area of the geometry will be
The surface area is the sum of the area of the two similar triangles and the area of the three rectangles.
The area of the rectangles will be
Area of rectangles = 8 x 20 + 15 x 20 + 17 x 20
Area of rectangles = 160 + 300 + 340
Area of rectangles = 800 square feet
The area of the triangles will be
Area of triangles = 2 x 1/2 x 15 x 8
Area of triangles = 120 square feet
Then the area of the geometry will be
Area of geometry = 800 + 120
Area of geometry = 920 square feet
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10) -15xy + 25x ????????????????????
Factor (−15x)(y)+25x
−15xy+25x
=5x(−3y+5)
Answer:
5x(−3y+5)
A(n) ________________ is a statement that two quantities are not equal.
Which are perfect cubes? Check all that apply.
64
x16
8x3
27x4
81x6
125x9
and pls tell me how to find a perfect cube i will mark brainlyesr
Answer:
64x16=1024
8x3=24
27x4=108
81x6=486
125x9=1125
Step-by-step explanation:
Braineist please
Answer:
A=64 C=8x^3 F=125x^9
Step-by-step explanation:
♥☺
A vet weighs 2 puppies. The small puppy weighs 2 1/9 a pound. The bigger puppy weighs 1 2/7 times as much as the small puppy does. How much does the big puppy weigh?
Answer:
2 5/7
Step-by-step explanation:
In order to solve this problem you must multiply the weight of the original puppy by the 1 2/7 times the second puppy weighs, giving you 2 5/7.
The best way to do this is to turn the mixed numbers into improper fraction, then, multiply straight across and simplify.
Un escalador sube 225m de altura. El asenso lo hizo en 3 etapas. En la primera subio un quinto en la, en la tercera un cuarto. ¿cuanto hizo en la segunda?
Answer:
Segunda etapa= 123.75 metros
Step-by-step explanation:
Altura total= 225 metros
En la primera estapa subió el 20% (un quinto):
Primera etapa= 225*0.2= 45 metros
En la tercera etapa subió 25% (un cuarto):
Tercera etapa= 225*0.250 56.25 metros
Ahora debemos determinar cuánto subió en la segunda etapa:
Segunda etapa= altura total - total subido
Segunda etapa= 225 - (45 + 56.25)
Segunda etapa= 123.75 metros
Prove one pair of opposite sides are congruent and parallel
Answer:
AB PARALLEL TO DC AND AD WITH BC
ANSWER ASAP/GIVING HIGH RATING DUE SOON,PLS JUST ANSWER I HAVE AKOT OF WORK DUE IN 10 MINS
A) 274 m2
B) 302 m2
C) 344 m2
D) 420 m2
Answer:
The answer is C)344 m2
Step-by-step explanation:
6 x 7 x 2
7 x 10 x 2
6 x 10 x 2
Can pls help me with my homework plss
[tex]cos \: k = \frac{adj}{hyp} = \frac{5}{13} [/tex]
//
I'm unsure about what to do after that but you can:
[tex]cos( \frac{5}{13} ) = 0.999977469[/tex]
[tex]cos \: k = 1.00[/tex]
or
[tex] \frac{5}{13} = 0.384615385[/tex]
[tex] = 0.38[/tex]
I think the first one's safer.
Plz help I don’t get this
The sum of five-sixths of f, one-half of p, and 3
Answer:
The expression would look like this: [tex]\frac{5}{6}f + \frac{1}{2}p + 3[/tex]
How tall are 2 chairs stacked together? The height of the chairs
5 chairs are 51 inches high
3 chairs are 45 inches high
8 chairs are 60 inches high
Answer: 20.4 damm this easy
3, 5, 6, 1, 3, 11,7
Mean
Range =
Median =
IQR =
Mode =
Variance =
Midrange=
Standard Deviation
Answer:
range= 10
median= 5
mode= 3
Variance= 11 (rounded) normal answer without rounding 10.809524
Midrange= 6
What is the first error Holden made in his proof?
Answer:
Step-by-step explanation:
He didn’t show his work.
Answer:
Holden wanted to build “Australia's Own Car” and in 1948 the first Holden car was produced.
Hope this helps, pls mark me as brainliest
solve the proportion X-16/x+6 = 3/5
Answer:
x = 49
Step-by-step explanation:
Given
[tex]\frac{x-16}{x+6}[/tex] = [tex]\frac{3}{5}[/tex] ( cross- multiply )
5(x - 16) = 3(x + 6) ← distribute parenthesis on both sides
5x - 80 = 3x + 18 ( subtract 3x from both sides )
2x - 80 = 18 ( add 80 to both sides )
2x = 98 ( divide both sides by 2 )
x = 49
Answer:
x = - 49
Step-by-step explanation:
Solve for X by cross multiplying.
write the equation of a line in point-slope form for a line that passes through the point (-2,1) and has a slope of -3
Answer:
y-1=-3(x+2)
Step-by-step explanation:
Find the value of 0.7x0.08
Answer:
0.056
Step-by-step explanation:
For decimals, you just multiply, and the hundredths would stay, so the answer is 0.056, because 8 x 7 = 56!
Answer:
0.056
Step-by-step explanation:
7*8 is 56 right
looking at 0.7 how many numbers are before that dot
1 right which is seven
then 0.08 has how many digits before the dot thing
2 right which is 0 and 8
in total making three
then in 56 move three times forward from behind
1 5.6
2 0.56
3 0.056
and thats how we got this
dont confuse this technique with numbers like 0.80
the zero at the end of that number is not needed
that is to say that
0.80 = 0.8
when theres a zero at the back of a decimal its not counted
e.g
0.50= 0.5
0.4000000= 0.4
hope this helped
Select whether each system of equations has no solution, one solution, or infinitely many solutions.
No Solution
One Solution
Infinitely Many Solutions
6
0
I + 2y
23 Зу
--
26
42 2y = -6
y = 2.c 4
O
-
.
2.0
y = 4
62 — 3y = 12
12.92 divided by 3.4 And if you can put how you solved it that also would be great
Answer:
The answer is 3.8
Step-by-step explanation:
Change the divisor 3.4 to a whole number by moving the decimal point 1 places to the right. Then move the decimal point in the dividend the same, 1 places to the right.
We then have the equations:
129.2 ÷ 34 = 3.800000
and therefore:
12.92 ÷ 3.4 = 3.800000
Both calculated to 6 decimal places.
( In 3.800000, you can take away the zeros, which will be equal to 3.8 )
I hope this was helpful! :)
What is the solution to 5x-2<13
Answer:
x<3
Step-by-step explanation:
Step 1: Add 2 to both sides.
5x−2+2<13+2
5x<15
Step 2: Divide both sides by 5.
5x/5 < 15/5
x<3
answer my question PLEASE
Answer:
jahshh83828
Step-by-step explanation:
iwhdbwowhei2kdhe829274
*URGENT* Would it be better to invest at 6% APR compounded annually or 6% APR compounded
continuously?
Step-by-step explanation:
step 1. compounded annually gives you interest once a year.
step 2. compounded continuously gives you interest every split second and then gives you interest on interest!
step 3. getting interest on your money continuously is better.