Find the value of a and the area of the triangle. Round to the nearest hundredth
Answers
Answer:
a = 6.65
Area = 15.84
Step-by-step explanation:
By cosine rule in the given triangle,
BC² = AC² + AB² - 2(AC)(AB)cos(C)
a² = 5² + 9²- 2(5)(7)cos(28°)
a² = 25 + 81 - 61.81
a = [tex]\sqrt{44.19}[/tex]
a = 6.65
Area of a triangle with given three sides = [tex]\sqrt{s(s-a)(s-b)(s-c)}[/tex]
Here, s = Average of lengths of all sides
a, b and c are the measures of the respective sides of the triangle.
s = [tex]\frac{6.65+7+5}{2}[/tex]
s = 9.325
a = 6.65, b = 5 and c = 7
Now substitute these values in the formula to get the area,
Area = [tex]\sqrt{9.325(9.325-6.65)(9.325-5)(9.325-7)}[/tex]
= [tex]\sqrt{9.325\times 2.675\times 4.325\times 2.325}[/tex]
= [tex]\sqrt{250.8313}[/tex]
= 15.838
= 15.84
Related Questions
Most states and Canadian provinces have government-sponsored lotteries. Here is a simple lottery wager, from the Tri-State Pick 3 game that New Hampshire shares with Maine and Vermont. You choose a three-digit number; the state chooses a three-digit winning number at random and pays you $500 if your number is chosen. Because there are 1000 three-digit numbers, you have probability 1/1000 of winning. Taking X to be the amount your ticket pays you, the probability distribution of X is Payoff X Probability: $0.00 0.999 What is your average payoff from many tickets
Answers
Answer:
For many(n) tickets, the average payoff is 0.5n, in which n is the number of tickets.
Step-by-step explanation:
1/1000 chance of winning.
This means that there is an 1/1000 probability of you earning $500.
1 - 1/1000 = 999/1000 chance of losing.
In this case, you earn nothing.
What is your average payoff from many tickets
[tex]A = \frac{500*1}{1000} + \frac{0*999}{1000} = \frac{500}{1000} = 0.5[/tex]
Your average payoff from a ticket is 0.5. So for many(n) tickets, the average payoff is 0.5n, in which n is the number of tickets.
TRUE or FALSE. Write the word True if the statement is true, and False if the statement is false
1.If my father and mother have a gene coding for obesity, it is guaranteed that I will be obese.
2.Many factors other than genetics may determine whether a person is obese.
3.It is possible that I will inherit other genes from my parents that counter the obesity genes.
4.Phenotypes are the observable characteristics of an individual.
5.Mutations determine differences in the human genome.
Answers
Answer:
Step-by-sTrue
tep explanation:
Answer:
1: False
2: True
3: True
4: True
5: False
Step-by-step explanation:
Which statement explains how you could use coordinate geometry to prove that quadrilateral ABCD is a rectangle
Answers
Answer:
prove that opposite sides are congruent and parallel
Step-by-step explanation:
i took the testtttttt
The statement which explains is Prove that opposite sides are congruent and that the slopes of consecutive sides are opposite reciprocals, the correct option is D.
We are given that;
The quadrilateral ABCD
Now,
A rectangle is a quadrilateral with four right angles, which means that the slopes of consecutive sides are negative inverses of each other.
For example, if the slope of AB is m, then the slope of BC is -1/m.
Also, a rectangle has opposite sides that are equal in length,
which means that the distance between A and B is the same as the distance between C and D, and the distance between B and C is the same as the distance between A and D.
Therefore, by quadrilateral the answer will be prove that opposite sides are congruent and that the slopes of consecutive sides are opposite reciprocals.
To learn more about quadrilateral visit;
https://brainly.com/question/29934440?referrer=searchResults
#SPJ4
hey guys I need help on maths.
Answers
Answer:
x=122°
Step-by-step explanation:
sum of all interior angles in a quadrilateral = 360°
then ,
119+105+78+m = 360
m = 58
....
m+ x = 180 ( linear pair)
58+x = 180
x = 122
A traveling circus with thrill rides Charge 7$ For admission $1.50 For each ride you take. If you pay $29.50 total, how many rides did you take?
Answers
Answer:
15 rides
Step-by-step explanation:
Subtract $7 from $29.50
and then divide what you got ($22.50) from $1.50
What is 3-2y+(-8y)+8.4 as a simplified expression
Answers
Answer:
-10y + 11.4
I hope this helps you out
Answer:
-10y+11.4
Step-by-step explanation:
you combine -2y with -8y to get negative -10y. Then you combine 3 and 8.4 to get 11. Variables usually come first in equations, I don't think it matters, but you might want to put them first anyway.
use the method of successive differences to determine the next number in the given sequence 4; 32; 160; 798; 2706; 7164; 16,142 assuming the the pattern continues , the eighth term would be
Answers
Answer:
32470
Step-by-step explanation:
4; 32; 160; 798; 2706; 716
28;128;638;1908;4458
100;510;1270;2550
410;760;1280
350;520
170
7th: 170+520+1280+2550+4458+7164=16142
4; 32; 160; 798; 2706; 7164;16142
28;128;638;1908;4458;8978
100;510;1270;2550;4520
410;760;1280;1970
350;520;690
170;170
8th: 170+690+1970+4520+8978+16142=32470
what is the sum of 2/5 and 2/5 in simplest form
Answers
Answer:
The answer is 2/5
Step-by-step explanation:
2/5+2/5=4/5=2/5
Anna juices 8 quarts of juice in 1 minute. How many gallons does she have in 1 hour? (4 quarts = 1 gallon)
Answers
Answer: 120
Step-by-step explanation: 8 times 60 is 480 then converted to gallons do
480/4
find the 14th term of the geometric sequence 2,4,8
Answers
Answer:
(0,16) I am pretty sure
Step-by-step explanation:
What three things could happen to an organism if its environment changes?
Answers
Answer:
Plants may die because they are not used to the new environmental change.
Step-by-step explanation:
animals might lack food and water. If organisms cannot adapt to the changes in their ecosystem, they may move to another location. If they will not move, the species may become threatened, endangered or extinct.
Answer:
it could die, it good get over populated, it could get better living secumstances
Step-by-step explanation:
which is the solution of the equation below m-9=4 A M= -5 B m= -13 C M=5 D M= 13
Answers
Answer:
m= 13 is corrrect
Step-by-step explanation:
because 13-9=4 so D
Answer:
D.) m=13
Step-by-step explanation:
m-9=4
add nine to both sides then
m=13
Need some help with this :(
(Don’t answer if you don’t know)15 points
Answers
Triangle EFG undergoes a dilation centered at the origin. The result is triangle E'F'G'. Which rule describes the dilation?
A) (x, y) → (2x, 2y)
B) (x, y) → (4x, 4y)
C) (x, y) → ( 1 4 x, 1 4 y)
D) (x, y) → (−4x, −4y)
Answers
Thea answer B) (x, y) → (4x, 4y)
Answer:
B
Step-by-step explanation:
i took test
Which of the following equations have no solutions? Select all that apply:
A) 14r + 23 = 14r -23
B) -23r - 14 = 14r -23
C) 14r - 23 = 14r -23
D) -14r + 23 = 14r - 23
Answers
B) No: r = 9/37
C) Yes: they would cancel each other out
D) No: r = 23/9
A.) 14r + 23 = 14r - 23
C.) 14r - 23 = 14r - 23
Pleaseeee help I'll give Brainliest urgent!!!!!!!!!!!!!!!!!
Answers
Answer:
The answer is
'The range of the data for girls is less than the range of the data for boys'
I'm don't know dfhgh fhfghfg hgf hgfh
Whoever responds first will get marked Best!!!A tomato sauce recipe uses 986 ounces of crushed tomatoes About how many milliliters of crushed tomatoes are needed to make
the tomato sauce? (1 ounce - 29.574 milliliters)
A 125
B 66
C 2,839
Answers
Answer:
B . tell me if ya need proof
Step-by-step explanation:
What is the final cost of an item priced at $5.70 after a 7% sale tax is applied
Answers
Answer:
the total is $6.10 once applied
and the sale tax is $0.40
Step-by-step explanation:
What is the average rate of change for f(x) = 2 ^ x + 10 over the interval 2 <= x <= 4
Answers
Joyce is making sushi rolls. She needs cup of
rice for each sushi roll. How many sushi rolls
can she make if she has 3 caps of rice?
3
You can use objects or draw
e picture to find the solution
Answers
Answer:
She can make 3 sushi rolls.
Step-by-step explanation:
it's not that hard, but ok
So, if Joyce needs one cup for every sushi rolls and she has 3 cups. You just add 3 + 0, getting you 3.
Assignment
os
Calculate the volunce the solid.
een
Answers
Answer:
2000ffdtsyjeauets esy siy eut aiteais6i6 es i6sei6 s3
What is the solution to 5x - 15 = -25 ?
Answers
Answer:
-2
Step-by-step explanation:
Add 15 to both sides
5-15+15=-25+15x=-10
Dive by 5 both sides
5/5=-10/5
x=-2
Olivia sold water bottles over four days. Create a graph to determine if
the quantities of bottles and number of days are proportional If the
quantities are proportional, what is the constant of proportionality?
Answers
Answer:
sorry I cannot help
Step-by-step explanation:
I will try after some time to help u....LOL
enjoy
First one to answer gets BRAINLIEST no cap look at the picture.
Answers
Answer:
63 sq meters
Step-by-step explanation:
[tex]A=\frac{a+b}{2} h\\\\A=\frac{11+7}{2} *7\\\\A=\frac{18}{2} *7\\\\A=9*7\\A=63[/tex]
A=11+7/2 •9
A=18/2 •9
A=9•9
A=81 m^2
6. The figure below shows a rectangular warden that has a walkway entending
diagonally through the center. What is the approtimate perimeter of the
garden? (Gl 4 W ='')
50 ft
A) 30 it.
B) 90 ft,
C) 140 ft,
D) 1200 it,
plz help
Answers
Answer:
C: 140ft
I hope it helps
Find p(–4) if p(x) = x ^3 – 3x^ 2 + 7x + 6.
Answers
Answer:
p(-4) = -134
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
p(x) = x³ - 3x² + 7x + 6
p(-4) is x = -4
Step 2: Evaluate
Substitute in x [Function]: p(-4) = (-4)³ - 3(-4)² + 7(-4) + 6Evaluate exponents: p(-4) = -64 - 3(16) + 7(-4) + 6Multiply: p(-4) = -64 - 48 - 28 + 6Subtract: p(-4) = -140 + 6Add: p(-4) = -134Pls help extra points and mark brainlist
Answers
Answer:
Rock layers only (I think this is correct from the searches I've made)
Will someone please help me solve this problem.
Answers
Answer:
A
Step-by-step explanation:
The answer is 64 since it can be a multiple of the numbers
How many laps did Benito swim?
Rate: 10 laps in 6 minutes Time: 30 minutes
Answers
Answer:
50 laps
Step-by-step explanation:
10 laps : 6 minutes
multiply both sides by 5
50 laps: 30 minutes
the difference of p and 7 is 30
Answers
thats you equation
Answer:
p = 37
p- 7=30
add seven to both sides and you get
p=37