PLEASE HELP, ILL MARK BRAINLIEST
""solve triangle ABC using the given information round triangle measures to the nearest degree and side measure to the nearest tenth
Answers
9514 1404 393
Answer:
a) A = 73°, C = 59°, a = 16.7
b) A = 11°, C = 121°, a = 3.3
Step-by-step explanation:
The Law of Sines can be used to find angle C. Then the sum of angles in the triangle can be used to find angle A. The length of 'a' can be found either from the Law of Sines or the Law of Cosines at that point.
The given angle is opposite the shorter of the two given sides, so there are two possible solutions.
Acute triangle solution
The Law of Sines gives the relation ...
sin(C)/c = sin(B)/b
sin(C) = (c/b)sin(B)
C = arcsin(c/b·sin(B)) = arcsin(15/13·sin(48°)) ≈ 59°
Then angle A is 132° -59° = 73°, and side 'a' is ...
a = 13·sin(A)/sin(B) = 13·sin(73°)/sin(48°) ≈ 16.7
__
Obtuse triangle solution
The other value of arcsin(15/13·sin(48°)) is used:
C ≈ 121° ⇒ A = 11°
a = 13·sin(11°)/sin(48°) ≈ 3.3
__
The two solutions are ...
A = 73°, C = 59°, a = 16.7
A = 11°, C = 121°, a = 3.3
We note that the drawing is of an acute triangle, so that solution may be the one that is preferred.
_____
Additional comment
In the above presentation, we have rounded angle values to the precision required by the problem statement (nearest degree). However, in the actual calculations, we have used the full calculator precision. Only the final answers have been rounded.
Related Questions
please help me to find
Answers
Answer:
2/3
Step-by-step explanation:
10/15 = 2/3
15/24 = 2/3
Complete the following equation <, >, or = 3.20_ 3.02
Answers
Answer:
Step-by-step explanation:
3.20 ___ 3.02 A.
The following equation 3.20 > 3.02
Answer:
(>) This is your answer ☺️☺️☺️
Divide £2680 in the ratio 5:3:2.
Answers
Answer:
Step-by-step explanation:
1) find the total of the ratio parts
5 + 3 + 2 = 10 parts in total
2) divide the total by the amount
2680/10 = 268
3) multiply to find the specific ratios
5 * 268 = 1340
3 * 268 = 804
2 *268 = 536
The division of the number £2680 in the ratio 5:3:2 will be 1340, 804, and 536 respectively
What are ratios and proportions?A ratio is an ordered pair of numbers a and b, denoted by the symbol a / b, where b does not equal zero. A proportion is an equation that sets two ratios equal to each other.
Given that the number is £2680 and the ratio in which the number will be distributed is 5:3:2.
The number will be distributed as below:-
5 + 3 + 2 = 10 parts in total
Divide the total by the amount
2680/10 = 268
3) multiply to find the specific ratios
5 x 268 = 1340
3 x 268 = 804
2 x 268 = 536
To know more about ratios and proportions follow
https://brainly.com/question/2914376
#SPJ2
24m-²n x 1/4mn
please need help
Answers
Answer:√ 25
log
13 ( 28 )
√ 75
Step-by-step explanation:
Simmons and Magda do push-ups for exercise. Simmons does 42 push-ups in 360 s. Magda does 24 push-ups in 3 min. Who does push-ups at a faster rate? *
Answers
Answer:
magda
Step-by-step explanation:
simmon
360 second to minutes
360 ÷ 60 = 6 minutes
push up per minute
42÷ 6 = 7
madge
3 minutes
push up per minute
24 ÷ 3 = 8
If 20 buckets of sand are used, how many buckets of EACH of the following will be needed?
Answers
Buckets of cement needed is 5 and sand needed is 20
Solution:
Given that Concrete tiles are made using buckets of cement, sand and gravel mixed in the ratio 1 : 4 : 6
cement : sand : gravel = 1 : 4 : 6
Let the cement needed be "1x"
Let the sand needed be "4x"
Let the gravel needed be "6x"
Given that 20 buckets of sand used
4x = 20
x = 5
Thus buckets of cement needed = 1x = 1(5) = 5
Buckets of sand needed = 4x = 4(5) = 20
5 buckets of cement and 20 buckets of sand are needed
Help plz :)
Determine the measure of each unknown angle using the diagram.
Answers
b. m3 = 74°
c. m4 = 106°
:)
Graph a line that goes through (0, -2) and grows by 4
Answers
Please help i will give brainleist and 25 points please dont play please
Complementary Angles are two angles that add up to 90 degrees. If ∠1=30 then ∠2=60 because 90-30=60.
Find the missing angle that makes them complementary. ∠3=50 so ∠4=
∠5=25 so ∠6=
∠7=80 so ∠8=
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Step-by-step explanation:
1)90-50= 40°
2)90-25= 65°
3)90-80=10°
what is the surface area of the image below?
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Answer:
Total Surface Area = 24.887864491364 inches^2
itz pretty ez unless ur lazy tho
algebraic expression 5a² - 25b²
Answers
Answer: = 5 (a-5b)(a+b)
Step-by-step explanation:
= 5a² - 25b²
= 5 (a²-5b²)
= 5 (a-5b)(a+b)
Marsha is buying plants and soil for her garden. The soil cost $4 per
bag, and the plants cost $10 each. She wants to buy at least 5 plants
and can spend no more than $100. Write a system of linear
inequalities to model the situation.
Answers
Answer:
p ≥ 5
4s + 10p ≤ 100
Step-by-step explanation:
Here, we want to write a system of inequalities
Let the number of bags of soil be s and the number of plants be p
She wants to buy at least 5 plants
mathematically, when something is at least 5, it means greater than or equal to 5
In inequality, we have this as;
p ≥ 5
Secondly, she wants to spend not more than $100; she can spend less but cannot spend more
We have this as;
The number of bags she can buy at $4 per bag is 4 * s = 4s
the number of plants at $10 per one will be;
10 * p = 10p
Adding both should give a cost less than or equal to 100
We have this as;
4s + 10p ≤ 100
So, we have the system of inequalities as;
p ≥ 5
4s + 10p ≤ 100
Evaluate the following expression:
62 - 7(8 + 6 – 3²)
ANSWER STAT!!
Answers
Answer:
27
Step-by-step explanation:
The total weight of 9 bags of potatoes is 36 kilograms. Each bag weighs the same amount. What is the weight, in grams, of each bag of potatoes? 4 grams 40 grams 400 grams 4,000 grams
Answers
Answer:
HELP ME!?
Step-by-step explanation:
I need help can some one help me
Answers
Answer:
D
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
you have to see what leangth matches
Which characteristics best describe an acute isosceles triangle
Answers
Answer:
answer is A i and iv
two sides meet at 90°
two sides are equal in lenght
2. Classify a triangle with the following side lengths 26, 12, and 18. *
1 point
Acute
Obtuse
Right
Answers
Answer:
Acute
Step-by-step explanation:
26^2 + 12^2 = 18^2
676 + 144 = 324
820 = 324
Since 324 is smaller, this triangle is acute
What is the degree of the polynomial below?
x ^6 +3 - 2x^2 + 4x^7 - 4x
O A. 7
O B. 6
C. 5
D. 4
Answers
what is 1 1/4 divided by 1 2/5 for kahn academy ?
Answers
Answer:
25/28
Step-by-step explanation:
5/4 x 5/7 = 25/28
Answer:
25/28
Step-by-step explanation:
Help Me. Four cards are placed into a bag and two are drawn, 1 at at time, without putting the first card back into the bag. The four cards are 2, 3, 5, and 7. What is the probability of pulling a 3 and then pulling a 7?
Answers
Answer:
Step-by-step explanation:
What’s smaller... 1.6 or 1.12 ?
Answers
keep in mind that there’s two decimal places, which automatically makes it smaller
Answer:
1.12
Step-by-step explanation:
1.6 1.12
50 points! Look at the picture attached. Random answers will be reported
Answers
Step-by-step explanation:
Ans is here in picture plz give me brilliant ans
Answer:
x > 14Step-by-step explanation:
Triangle inequality: for any triangle, the sum of the lengths of any two sides must be greater than or equal to the length of the remaining sideApply to the given triangle:
2x + 1 + x + 16 > 2x+ 31 ⇒ 3x - 2x > 31 - 17 ⇒ x > 142x + 1 + 2x + 31 > x + 16 ⇒ 4x - x > 16 - 32 ⇒ 3x > -16 ⇒ x > -16/32x + 31 + x + 16 > 2x + 1 ⇒ 3x - 2x > 1 - 47 ⇒ x > - 46Combination of the three inequalities:
x > 14Please help.
Four players from the NBA and their career 3-point percentage are listed below. 3-point percentage is calculated by dividing the number of 3-pointers the player makes by the number of 3-pointers he attempts. If Steph Curry attempted 25 3-pointers in his last game, how many can we assume he made?
Answers
Answer:
We can assume that the number of 3-pointers he made in his last game was 10 3-pointers
Step-by-step explanation:
In the question, we have;
The 3-point percentage rate for Stephen Curry = 43.5 successful made out of 100 attempts
The 3-point percentage rate for LeBron James = 34.5 successful made out of 100 attempts
The 3-point percentage rate for James Harden = 36.4 successful made out of 100 attempts
Whereby Steph Curry attempted 25 3-pointers in the last game he played and where 'x' represents the number of 3-pointers we can assume he made, we have;
x = 43.5% of 25
[tex]\therefore x = \dfrac{43.5}{100} \times 25 = 10.875[/tex]
Given that 'x' can only have whole number values, and the 3-point percentage is calculated using a larger number of attempts than 25, we can assume he made 10 3-pointers in his last game
The 3-pointers the Stephen Curry made in last game is 10, if he attempted 25 3-pointers.
It is given that the four players from the NBA and their career 3-point percentages are listed below in the table
It is required to find the number of 3 pointers he made if Steph Curry attempted 25 3-pointers in his last game.
What is percentage?It is defined as the ratio or number presented as fraction of 100, the symbol of percentage is %.
We have in the question that:
The 3-point percentage rate for Stephen Curry is 43.5% out of 100 attempts.
We know that,
[tex]\rm 3-point \ percentage = \frac{Number \ of \ 3-pointers}{Number \ of \ 3-pointers \ attempts} \\[/tex]
3 - point percentage for Stephen Curry = 43.5%
Number of 3-pointers he attempts = 25
Putting these values in the above formula, we get:
[tex]\rm 43.5 \%=\frac{Number \ of \ 3-pointers}{25} \\\\\rm \frac{43.5}{100} \times25 = Number \ of \ 3-pointers\\\\\rm Or \ number \ of \ 3-pointers = 10.875[/tex]
But the number of 3-pointers can be a whole number, so we can assume that the 3-pointers is 10.
Thus, the 3-pointers the Stephen Curry made in last game is 10, if he attempted 25 3-pointers.
Learn more about three pointer here:
https://brainly.com/question/519034
Simplify the polynomials. : 27. 97 + 47+ n
Answers
Answer:
74.97+n
Step-by-step explanation:
We need to simplify the given polynomial i.e.
27.97 + 47+ n
Here, n is a constant number
Firstly we add 27.97 and 47 such that,
27.97 + 47+ n = 74.97+n
Hence, the simplified form is 74.97+n.
pls help :D
i know how to do this but still
Answers
Answer:
x = 12
Step-by-step explanation:
[tex]3x-19=\frac{7}{4} x-4\\\\3x-\frac{7}{4} x=-4+19\\\\\frac{5}{4} x=15\\\\x=12[/tex]
PLEASE HELP ME MY MOM SAYS IF I GET ALL MY GRADES CAUGHT UP I CAN GET A PUPPY!!!!!
Answers
Answer:
Step-by-step explanation:
dude if you want good grades you should be studying instead of begging for an answer, you’ll never get anything in life by cheating or asking online for answers. I’m really not trying to be mean i’m just saying the honest truth. But if you really want a puppy that bad. I guess ill help
PLEASE NEED HELP ASAP
Answers
You can download answer here
tinyurl.com/wpazsebu
Answer:
288mm^2
Step-by-step explanation:
Formula: A=2(wl+hl+hw)
Answer: 2·(14·6+3·6+3·14)
2 • (84 + 3•6 + 3•14)
2 • (84 + 18 + 3•14)
2 • (84 + 18 + 42)
2 • 144 =
288mm^2
Press answer 2 on the question of the image you inserted
At birth, a newborn's head is about 25% of its total length. If a baby is 18 inches long, about how many inches is the baby's head?
Answers
Answer:
18 × 0.25 = 4.5
Step-by-step explanation:
25% is multiplying by 0.25
Answer:
4.5 inches long
Step-by-step explanation:
25/100*18
18/4
4.5 inches long
These word questions confuses me, can someone explain this step by step
Answers
Answer:
[tex]10\pi \: cm[/tex]
Step-by-step explanation:
Please mark as brainliest
LMN is a right triangle 39 36 15
Answers
Yes LMN is a right triangle because it’s in a 90 degree angle