How to solve the triangle given one angle and 2 sides. I want help solving the problem not just an answer, thanks.
Answers
A. Use the law of cosines:
29² = 34² + c ² - 2•34•c cos(30.3°)
Use a calculator to solve for c ; notice this equation is quadratic, you get two possible solutions, c ≈ 5.973 ≈ 6 or c ≈ 52.738 ≈ 53.
Then use the law of sines to solve for the two possibles measures of angle C :
sin(30.3°)/29 = sin(C )/c
sin(C ) = c sin(30.3°)/29
sin(C ) ≈ 0.1039 or sin(C ) ≈ 0.9175
C ≈ 6.0° or C ≈ 66.6°
The interior angles of any triangle sum to 180°, so the remaining angle has measure either
B = 180° - 30.3° - C
B ≈ 143.7° or B ≈ 83.1°
So to recap,
B ≈ 143.7°, C ≈ 6.0°, c ≈ 6
and
B ≈ 83.1°, C ≈ 66.6°, c ≈ 53
Related Questions
Someone help me please.
Find the measure of 0.(to the nearest tenth)
Answers
Answer:
I don't believe any are correct, from what I know its 36.9.
Step-by-step explanation:
sorry I know this isn't help full good luck!
6/7 ÷ 1/6
this is for flash cuz hes smart
Answers
Answer:
5.1
Step-by-step explanation:
Find the reciprocal of 4/11
Answers
Answer:11/4
Step-by-step explanation: u have to just put it backwards
simplify each of the following ratios.
e) 2/3 : 3/2 : 5/8
Answers
Answer:
32/45
Step-by-step explanation:
2/3 : 3/2 : 5/8
Remember, a ratio and a fraction are both division. Therefore you can rewrite the problem like so:
2/3 ÷ 3/2 ÷ 5/8
Dividing fractions is the same as multiplying them by the reciprocal.
2/3 * 2/3 * 8/5
Now simplify:
32/45
32 and 45 have no common factor, hence the final answer is 32/45
Answer:
32/45
Step-by-step explanation:
2/3 : 3/2 : 5/8.
Remember, a ration and a fraction are both division. Therefore you can rewrite the problem like so:
2/3 ÷ 3/2 ÷ 5/8
Dividing fractions is the same as multiplying them by the reciprocal.
2/3 * 2/3 * 8/5
Now simplify:
32/45
32 and 45 have no common factor, hence the final answer is 32/45
May I have brainliest please? :)
A) write an explicit formula for the sequence 12, 16, 20, 24 B) Find the 11th term of the sequence *
Answers
Answer:
[tex]T_n = 8+ 4n[/tex]
[tex]T_{11} = 52[/tex]
Step-by-step explanation:
Given
[tex]Sequence: 12, 16, 20, 24[/tex]
Solving (a): Write a formula
The above sequence shows an arithmetic progression
Hence:
The formula can be calculated using:
[tex]T_n = a + (n - 1) d[/tex]
In this case:
[tex]a = First\ Term = 12[/tex]
Difference (d) is difference of 2 successive terms
So:
[tex]d = 16 - 12 = 20 - 16 = 24 - 20[/tex]
[tex]d = 4[/tex]
Substitute 4 for d and 12 for a in [tex]T_n = a + (n - 1) d[/tex]
[tex]T_n = 12 + (n - 1) * 4[/tex]
Open Bracket
[tex]T_n = 12 + 4n - 4[/tex]
Collect Like Terms
[tex]T_n = 12 - 4+ 4n[/tex]
[tex]T_n = 8+ 4n[/tex]
Hence, the explicit formula is: [tex]T_n = 8+ 4n[/tex]
Solving (b): 11th term
This implies that n = 11
Substitute 11 for n in: [tex]T_n = 8+ 4n[/tex]
[tex]T_{11} = 8+ 4 * 11[/tex]
[tex]T_{11} = 8+ 44[/tex]
[tex]T_{11} = 52[/tex]
Answer:
A) The explicit formula for the sequence is [tex]f(n) = 12+4\cdot n[/tex], [tex]n \in \mathbb{N}_{O}[/tex].
B) The 11th term of the sequence is 62.
Step-by-step explanation:
A) Let [tex]f(0) = 12[/tex], we notice that sequence observes an arithmetic progression, in which there is a difference of 4 between two consecutive elements. The formula for arithmetic progression is:
[tex]f(n) = f(0) +r\cdot n[/tex] (1)
Where:
[tex]f(0)[/tex] - First value of the sequence, dimensionless.
[tex]r[/tex] - Arithmetic increase rate, dimensionless.
[tex]n[/tex] - Term of the value in the sequence, dimensionless.
If we know that [tex]f(0) = 12[/tex] and [tex]r = 4[/tex], then the explicit formula for the sequence is:
[tex]f(n) = 12+4\cdot n[/tex], [tex]n \in \mathbb{N}_{O}[/tex]
B) If we know that [tex]f(n) = 12+4\cdot n[/tex] and [tex]n = 10[/tex], the 11th term of the sequence is:
[tex]f(10) = 12+4\cdot (10)[/tex]
[tex]f(10) = 62[/tex]
The 11th term of the sequence is 62.
Solve the following system of equations.
2x+y = 3
x=2y – 1
x=
y=
Answers
Answer:
y=1 x=1
Step-by-step explanation:
2x + y = 3
x = 2y - 1
.
It looks like I could substitute the x=2y-1. Into 2x+y=3
2(2y-1)+y=3
4y-2+y=3
5y=5
y=1
x=2(1)-1
x=1
Answer:
Y =1
X =1
Good luck!!
Solve for X. Send help please!!
Answers
Answer:
x=118
Step-by-step explanation:
180-62=118
hope it helps !
Straight Line Contains 180°
Subtract 62 from 180 leaves you with 118
Therefore X=118
Find the difference -1/8-(-6 7/8)
Answers
Answer:
The difference is 6 3/4
Step-by-step explanation:
Plz give brainliest I am trying to rank up.
What is the perimeter of a rectangle whose short sides are4 and long sides are3?
Answers
Answer:
Permimeter=14
Step-by-step explanation:
4+4=8. 3+3=6. 8+6=14. Perimeter equals 14.
Ninety-nine is what percent of 150?
Answers
Answer:
66
Step-by-step explanation:
Answer:
66
Step-by-step explanation:
Find the slope of the line that passes through the given points.(-4, 7) and (-2, 8)
Answers
Answer:
[tex]m=\frac{1}{2}[/tex]
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-4, 7)
Point (-2, 8)
Step 2: Find slope m
Substitute: [tex]m=\frac{8-7}{-2+4}[/tex]Subtract/Add: [tex]m=\frac{1}{2}[/tex]What's greater -5/7 or -2/7
Answers
I think -2/7.
-2/7 is closer to 0 which is neither positive nor negative.
-5/7 is closer to a whole negative number.
George purchases a sack of apples, a bunch of bananas, a cantaloupe, and a carton of dates for $20. If a carton of dates costs twice as much as a sack of apples and the price of a cantaloupe is equal to the price of a sack of apples minus a bunch of bananas, how much would it cost George to purchase a bunch of bananas and a cantaloupe?
Answers
9514 1404 393
Answer:
$5
Step-by-step explanation:
Let the variables A, B, C, D represent a sack of apples, a bunch of bananas, a cantaloupe, and a carton of dates, respectively. Then the problem statement gives rise to 3 equations:
A +B +C +D = 20
D = 2A
C = A -B
Substituting the last two equations into the first gives ...
A +B + (A -B) +2A = 20
4A = 20 . . . simplify
A = 5 . . . . . divide by 4
Substituting this into the last equation, we have ...
C = 5 -B
B + C = 5 . . . . add B
The cost to purchase a bunch of bananas and a cantaloupe is $5.
Help me solve for the right one ?
I need help
Answers
Answer:
it should be B correct me if I'm rong
Christina scored 2,065 points by collecting 7 coins. After collecting a total of 8 coins, how many points will Christina have scored in all?
Answers
Answer:
2065 ÷ 7 = 295
295 × 8 = 2360
Christina will have scored 2,360 points.
if f(x)= 1/x+2, what is f(3+h)?
A. 1/ (x+2)(3+h)
B. (3+h)/(x+2)
C. 1/(3+h)
D. 1/ h+5
Answers
Answer:
D. 1/h+5
Step-by-step explanation:
f(x)=1/3+h+2
F(x)=1/h+5
its a funny shape ;) but if you answer correctly ill give brainliest
Answers
Answer:
Rectangle
Step-by-step explanation:
PLEASE HELP ME OUT FASTTTTT
Answers
Answer:
1 more slice
Step-by-step explanation:
1/2 of the pizza would be 4 since (8÷2=4)
So since we need 4 pizza slices to be gone in order to make 1/2 of the pizza...
and since we know that there are three slices missing....
the equation for this is 8-3=5 and we can't have 5 we need 4 so we need 1 more slice to be eaten
Luke was given a gift card for a coffee shop each morning Luke uses the card to buy one cup of coffee the original amount of money on the gift card was $30 and after buying 6 cups of coffee the card had $12 remaining balance write and equation for a in terms of X representing the amount of money remaining on the card after buying X cups of coffee
Answers
Answer:
30-6x=12
Step-by-step explanation:
30 (was the original)-6(the amount of coffee)x(the price of each coffee)=12(the remaining amount after those 6 cups)
hope this helps!!
Find the value of y when x = -5
Answers
Answer:
there isn't even a y here
Step-by-step explanation:
Did you not write the while question?
Please answer this question!!
Answers
Answer:
12.25Step-by-step explanation:
It is easy to notice that:
QA=QB=QCAs per triangle congruence theorem (two congruent sides and a right angle)
Since:
QB = x + 9 and QC = 5x - 4We have
x + 9 = 5x - 45x - x = 9 + 44x = 13x = 13/4x = 3.25QA = QB = QC = 3.25 + 9 = 12.25
Calculate the TOTAL mechanical energy of a pendulum (mass 4 kg) as it swings from its highest point to its lowest point. Use your equations for gravitational potential energy and kinetic energy to determine these values based on the data given below. Total energy is the sum of gravitational potential energy and kinetic energy. In this problem, round gravity to: g = 10 m/s2.
**** BONUS POINTS ADDED FOR ANSWER****
Answers
Answer: its should be 2.0 and 4.5 on it ✨
Step-by-step explanation: trusttt me
Y=-x-6 with slope graph Please help me answer this
Answers
Answer: the slope of the graph is -1
Step-by-step explanation: because x has a coefficient of negative 1 but if you wanted to graph this line, you have to be careful since you go down 1 unit and right 1unit. The line is descending since it has a negative slope so technically the slope is -1/1 but we can just say it’s -1
Major League Baseball fans eat about 21 million hot dogs every season. There are a total of 2,430 games each season. About how many hot dogs are eaten at each game?
Answers
Answer:
About 8642
Step-by-step explanation:
21 mil/2430= 8641.97530864
Caleb bought 3 bagels and 2 muffins for $7.00.
Jonathan bought 2 bagels and 5 muffins for
$12.00. Find the cost of each bagel and each
muffin.
Answers
Answer:
Bagels= 1$ and Muffins= 2$
Step-by-step explanation:
if Caleb bought 3 bagels for 1$ each that is 3$ and 2 muffins for 2$ each is 4$ and 4+3=7$
if Jonathan bought 2 bagels for 1$ each that is 2$ and 5 muffins for 2$ each is 10$ and 10+2=12$
Help
The diameter of the circle is 8in
Answers
Answer:
25.13 or 8pi
Step-by-step explanation:
Which value is a solution of the inequalityx∕5 + 2 ≤ 6?
A)
x = 49
B)
x = 15
C)
x = 37
D)
x = 21
Answers
Answer:
B
Step-by-step explanation
the answer comes to [tex]x\leq 20[/tex] and 15 is the only answer below 20
Answer:
B. x = 15
Step-by-step explanation:
Firstly we simplify the inequality, so we have x on the left side, and every number on the right side[tex]\frac{x}{5}+2\leq 6\\ \frac{x}{5}+2-(2)\leq 6-(2)[/tex] so we take away 2 on both sides[tex]\frac{x}{5}\leq 4[/tex] now this is the same as [tex]\frac{1}{5}*x\leq 4[/tex] Now we multiply by 5 on both sides [tex]5*\frac{1}{5}*x\leq 5*4[/tex] which is [tex]\frac{5}{5}*x \leq 20[/tex] which is simply [tex]x \leq 20[/tex] since 5 divide by 5 is 1 and 1 times x is xSo the inequality [tex]x \leq 20[/tex] means "every number for x that is less than or equal to 20"Now from the list, the only number that fits is 15. So that's our answer3 + 2x -y =0
-3 -7y = 10x
Answers
Answer:
(-1, 1)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationSolving systems of equations by graphingStep-by-step explanation:
Step 1: Define systems
3 + 2x - y = 0
-3 - 7y = 10x
Step 2: Rewrite systems
3 + 2x - y = 0
Add y to both sides: 3 + 2x = yStep 3: Redefine systems
y = 2x + 3
-3 - 7y = 10x
Step 4: Solve for x
Substitution
Substitute in y: -3 - 7(2x + 3) = 10xDistribute -7: -3 - 14x - 21 = 10xCombine like terms: -14x - 24 = 10xAdd 14x on both sides: -24 = 24xDivide 24 on both sides: -1 = xRewrite: x = -1Step 5: Solve for y
Define original equation: -3 - 7y = 10xSubstitute in x: -3 - 7y = 10(-1)Multiply: -3 - 7y = -10Add 3 to both sides: -7y = -7Divide -7 on both sides: y = 1Step 6: Graph
Check the solution set.
Express it in slope form
Answers
Answer:
y=1/3x-4
Wish i could explain but i gtg
Step-by-step explanation:
They who answer first, brainliest is thy prize
Answers
Answer:
Quotient: 3x+3
remainder: -2x+5
Step-by-step explanation:
Use polynomial long division