Calculate the unknown sides and angles of the triangle ABC given.
Given the final answer correct to three significant figures.
C= 25.7° , b= 3.5cm, a = 6cm
Answers
Step-by-step explanation:
to understand thisyou need to know about:law of sinelaw of cosinePEMDASlet's solve:there are 3 ways to solve SAS triangle
use The Law of Cosines to calculate the unknown side,then use The Law of Sines to find the smaller of the other two anglesand then use the three angles add to 180° to find the last angle.first figure out [tex]\angle C [/tex]
to do so we will use the formula of law of cosine of C angle
[tex] {c}^{2} = {a}^{2} + {b}^{2} - 2ab.\cos(C) [/tex]
substitute the given values of a,b and [tex]\angle C[/tex]
[tex] \sf{c}^{2} = {6 }^{2} + {3.5}^{2} - 2.6.(3.5). \cos( {25.7}^{ \circ} ) [/tex]
simplify squares:
[tex]c^{2}=36+12.25-42.\cos(25.7^{\circ})[/tex]
simplify addition:
[tex]c^{2}=48.25-42.\cos(25.7^{\circ})[/tex]
square root both sides
[tex] \sf \: \sqrt{ {c}^{2} } = \sqrt{ 48.25-42. \cos(25.7^{\circ})}[/tex]
simplify:
therefore
[tex]\bold{c=3.23}[/tex]
use law of sine to figure out angle A
[tex] \dfrac{6}{\sin( \angle \: A) } = \dfrac{3.23}{\sin(25.7)} [/tex]
therefore
[tex]\bold{\angle A=53.66°}[/tex](use calculater to simplify it)
therefore
[tex]\angle B\: is\: 180^{o}-25.70^{o}-53.66^{o}[/tex]
[tex]\bold{= 100.64}[/tex]
Related Questions
WILL GIVE BRAINLIEST IF GOTTEN RIGHT DONT ANSWER IF YOU DONT KNOW
Answers
Answer:
Option C: I and II
Step-by-step explanation:
When you look at the question, it says that BD and AE is correct. When looking at the options we have to find which ones include BD and AE.
A. "I only" This is incorrect because "I" is not the only answer with BD and AE.
B. "III only" This is also incorrect because "III" doesn't have AE.
C. "I and II" This is correct because both "I" and "II" have BD and AE.
D. "I and III" This is incorrect because it has only BD.
A pair of jeans and a T-shirt cost $50. If two such T-shirts cost $1 more than the pair of jeans, find the cost of the pair of jeans.
(I need the answer ASAP)
Answers
J = Jeans and T = T-shirts
J + T = 50
2T = J + 1
For first equation get T alone
T = 50 - J
2(50 - J) = J + 1
100 - 2J = J + 1
99 = 3J, J = 33
Solution: Pair of Jeans cost $33
Pls Help!!!!! I will pick the brainiest answer as well. ;)
Answers
Answer:
49
Step-by-step explanation:
20+4=24 24+25=49
m- 0.3 > 1.45
Answer?
Answers
Answer:
[tex]m > 1.75[/tex]
Step-by-step explanation:
1) Add 0.3 to both sides.
[tex]m > 1.45 + 0.3[/tex]
2) Simplify 1.45 + 0.3 to 1.75.
[tex]m > 1.75[/tex]
Therefor, the answer is m > 1.75.
A spotlight is mounted on a wall 9.8 feet above a security desk in an office building. It is used to light an entrance door 14.5 feet from the desk. To the nearest degree, what is the angle of depression from the spotlight to the entrance door?
Answers
to be honest i think your answer is 51°
What is the mean of the data set?
Fifth Grade Jump Distance
2 0
3 2 4 6
4 0 2 4 8
5 5
6 5
2 0 = 20 inches
42
40
45
20
Answers
Answer:
42
Step-by-step explanation:
Add all the numbers 20+, 32, 34, 36, 40, 42, 44, 48, 55, 65=416
then divide by total number of digits
(Mean: The mean is the average. It is found by adding all the data values and then dividing by the number of data points.)
41.6 rounded to 42
What is the total surface area??
Answers
Answer:
790 units^2
Step-by-step explanation:
Take the area of each side and add them all up. Remember each side is there twice.
Formula: SA = 2(15*5 + 15*16 + 5*16)
SA = 2(75 + 240 + 80)
SA = 2(395)
SA = 790
Jenny wants to buy an MP3 player that costs $30.98. Write an equation so find how much change (x) she receive if she gives the cashier $40. *
Answers
Answer:
40.00-30.98=x
you rode a bicyde for 2 hours and travelled 43 km, calculate your average
speed.
Answers
Answer:
22.5km per hour
Step-by-step explanation:
55 x 32 / 32
HELPPP GIVING BRAINLIEST
Answers
Answer:
55
Step-by-step explanation:
Just multiply then divide:
55 x 32 = 1760
1760 ÷ 32 = 55
Or just easier like:
55 x 32 ÷ 32 = 55
Hopefully this helps :3 Sorry if wrong :( Plz mark brainiest if correct :D Your bootiful/handsome! Have a great day luv <3
-Bee~
what is the gcf (greatest common factor) of 9/45
Answers
Answer:
9: 1,3,9
45: 1, 3, 5, 9, 15, and 45
Step-by-step explanation:
So the gcf is 9
Answer:
9GCF of 9 and 45 is 9Step-by-step explanation:
The greatest common factor of two numbers x and y is the greatest number that divides x and y leaving the remainder as 0
We can find the GCF of 9 and 45 by the following methods.
GCF of 9 and 45 by Listing the Common Factors Method
GCF of 9 and 45 by Prime Factorization Method
answer for brainlist & extra points! i can see if your answer is correct or not :)
Answers
Answer:
n=7
Step-by-step explanation:
71=10n+1
We move all terms to the left:
71-(10n+1)=0
We get rid of parentheses
-10n-1+71=0
We add all the numbers together, and all the variables
-10n+70=0
We move all terms containing n to the left, all other terms to the right
-10n=-70
n=-70/-10
n=7
Hope it helps
Answer:
The equation simplifies to n = 7.
Step-by-step explanation:
Hey there! We have an algebraic equation with the variable n. We want to solve for n. Therefore, we need to simplify the expression as much as we can.
To do this, we're going to notice we have two like terms in the equation:
711These two terms can be combined to make one term. In order to do this, we're going to check which side of the equation has two terms.
Left side → 1 termRight side → 2 termsWe are going to then check the sign of the constant. As a reminder, constants are numbers without a variable attached to them.
We see our constant is 1 on the right side and it is positive due to it being added to 10n. Therefore, we are going to do the opposite and subtract it from 71.
71 - 1 = 70This leaves us with a more simplified equation: 70 = 10n.
To make things easier, we're going to use the commutative property and switch the terms around. This will give us 10n = 70. It is easier to operate when our variable term is on the left side.
Now, we need to get our variable by itself. A coefficient is multiplying the variable by that value, so to reverse that, we must divide.
In addition to that, what we do on one side of the equation must be done on the other side of the equation.
[tex]\displaystyle \frac{10n}{10} = \frac{70}{10}[/tex]
This simplifies to n = 7, which is our final answer.
Q19. Four positive whole numbers add up to 36
One of the numbers is a multiple of 7
The other three numbers are equal.
Work out the result when the four numbers are multiplied.
Answers
Answer:
Step-by-step explanation:
let the numbers be 7x,y,y,y.
7x+3y=36
3y=36-7x
[tex]y=\frac{36-7x}{3} \\let~x=3\\y=\frac{36-7 \times 3}{3} =\frac{15}{3} =5\\[/tex]
numbers are 7×3,5,5,5
or 21,5,5,5
21×5×5×5=2625
Solve for ppp. -5\left(p+\dfrac35\right) = -4−5(p+ 5 3 )=−4minus, 5, left parenthesis, p, plus, start fraction, 3, divided by, 5, end fraction, right parenthesis, equals, minus, 4
Answers
Answer:
p = 1
Step-by-step explanation:
4 - 5(p + 3/5) = -4
Find P
4 - 5(p + 3/5) = -4
4 - 5p -15/5 = -4
4 - 5p - 3 = -4
-5p + 1 = -4
-5p = -4 - 1
-5p = -5
p = -5/-5
p = 1
Check:
4 - 5(p + 3/5) = -4
4 - 5(1 + 3/5) = -4
4 - 5 - 15/5 = -4
4 - 5 - 3 = -4
4 - 8 = -4
-4 = -4
Answer:
ITS HELLA 1/5 NOT 1
Step-by-step explanation:
>:(
Tina's gross pay is $2860. How much of her gross pay will be deducted for FICA taxes? (The Social Security tax is 6.2% of gross pay. The Medicare tax is 1.45% of gross pay.)
$218.79
$205.02
$177.32
$41.47
Answers
Use the figure and information below to find the length of each line segment
7th grade math please help me
Answers
Answer:
7. 6
8. 6
9. 12
10. 6
11. 12
12. 24
Step-by-step explanation:
The length of each segment is AB = 6, BC = 6, AC = 12, CD = 6, CE = 12, AE = 24
What is the length?It is the measure of distance between the two points is called a length.
D is the mid-point of CE. Then
CD = DE = 6
B is the mid-point of AC. Then
AB = BC
C is the mid-point of AE. Then
AC = CE
AB + BC = CD + DE
AB + AB = CD + CD
2 AB = 2 CD
AB = CD
AB = 6
Then
AB = 6
BC = AB = 6
AC = AB + BC = 6 + 6 = 12
CD = DE = 6
CE = CD + DE = 6 + 6 = 12
AE = AB + BC + CD + DE = 6 + 6 + 6 + 6 = 24
More about the distance link is given below.
https://brainly.com/question/989117
solve attached problem
Answers
Answer:
what is the dot for?
Step-by-step explanation:
2×2 = 4
4m² × m³
= 4 m²+³
= 4m⁵
Factor the expressions using the GCF 54-30
Answers
I'm sorry, but what exactly are the expressions?
If you comment the expression under my answer, I'll edit my answer and actually answer it.
But nobody can answer an expression that doesn't exist-
A circular garden is 20 feet across; a gardener wants to cover it with sod. If each sod piece is two square feet, how much sod will be needed?
Answers
Answer:
750
Step-by-step explanation:
What is the inverse (opposite) operation that you will use to solve this equation for c+3=4 and the answer.
Answers
Answer:
1
Step-by-step explanation:
As we know that addition and subtraction are inverse operations, as are multiplication and division.
The given equation is c+3=4
To solve such equations we isolate the unknown( to keep it either to the left or right of = sign) as c = 4-3
This is also called transposing and the sign of the transposed value changes.
Hence, c = 4-3 = 1
Please help me solve :(((
Answers
Answer:
θ ≈ 15°
Step-by-step explanation:
Using the sine rule in the triangle
note 7.56 × 10² = 756 and 2.4 × 10³ = 2400 , then
[tex]\frac{756}{sin0}[/tex] = [tex]\frac{2400}{sin125}[/tex] ( cross- multiply )
2400 × sinθ = 756 × sin125° ( divide both sides by 2400 )
sinθ = [tex]\frac{756sin125}{2400}[/tex] , then
θ = [tex]sin^{-1}[/tex] ( [tex]\frac{756sin125}{2400}[/tex] ) ≈ 15° ( to the nearest degree )
Which would be the most appropriate way to estimate -6.1(0.22)
Answers
Answer: Answer is 1
Step-by-step explanation:
1. A finance company charges $55 simple interest on a sum of money which is
borrowed for five months. Given that the rate
of interest is 12% per annum, find the sum of
the money.
Options:
1) $1200
2) $1100
Answers
Answer:
$1100 approx
Step-by-step explanation:
Given data
SImple interest = $55
Time= 5 months in years = 5/12= 0.42 years
rate= 12%
Let the sum be P, that is the principal
The expression for the interest is given as
SI=PRT/100
substitute
55= P*12*0.42/100
Cross multiply
5500=5.04P
P= 5500/5.04
P= 1091.2
Hence the Principal is $1100 approx
pls help! right answer = gets brainiest
Answers
Answer:
2,4 because they are hitting each other at that point
Answer:
D
Step-by-step explanation:
The solution is where the the red and blue line intersect.
Help me please thanks
Answers
Answer:
5/6
Step-by-step explanation:
(-6 - 4) / (3 * -4) [substitute a and b]
-10 / -12 [multiply the values in parenthesis]
5 / 6 [simplify by dividing by the common factor 2]
Answer:
[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
[tex]\frac{b+a}{3a} \\\\\frac{-6-4}{3(-4)} \\\\\frac{-10}{-12} \\\\\frac{5}{6}[/tex]
in the figure below, lines m and n are parallel. What is the value of x?
Answers
Answer:
x = 51
Step-by-step explanation:
It looks like alt int. angles (correct me if im wrong)
3x - 40 = 2x + 11
x = 51
Help ASAP! use the second image attached to answer!
Answers
Answer:
only the circle graph
Step-by-step explanation:
Answer:
Only the graph
Step-by-step explanation:
Im not an expert or anything but the chart only shows numbers, which aren't useful, but the circle shows, under the 80-89, 44.4%, which is the useful one. hope that helps you
last year ,david earned a salary of d dollars.This year ,he recieved a 1.5% raised.Which expression represents the salary david will earn this year? selet all that apply
A.0.015d
B.0.15d
C.1+0.015d
D.1+0.15d
E.1d+0.015d
F.1d+0.15d
G.1.015d
H.1.15d
Answers
Answer:
E. 1d+0.015d
G. 1.015d
Step-by-step explanation:
A is incorrect, as it only shows the 1.5% raise. B is incorrect, since that would be a 15% raise. C and D are incorrect because it's impossible to add a number with a variable to one without a variable. E is correct because it properly adds 100% (the amount he made without the raise) and 1.5% (the raise) together. F is incorrect because again, it adds 15%. G is correct because it is the total amount he makes, with the raise. H is incorrect because again, it adds 15%.
A trader bought 20 cups of rice at 5 cups for 100 naira and sold them at 4 cups for 100naira . what was his profit
Answers
Answer:
He is making 20 naira profit for every 4 cups that he sells for 100 naira
Therefore, if he selled all this cups for 100 naira per 4 cups he made a total profit of 100 naira
If I have $358 and every week I get $100 but I donate 17% of that $100 to charity how much money do I have in 3 weeks?
Answers
Answer: 590
Step-by-step explanation: 17$ is 17% and times that by 3 because of the 3 weeks, then you have 68$ and I just added 300 to the rest and then just subtracted 68$
What can I say exept your not welcome :D