9514 1404 393
Answer:
117.9°
Step-by-step explanation:
Solving the Law of Cosines equation for C, we get ...
C = arccos((a² +b² -c²)/(2ab))
Filling in the values from the figure, we find the angle X to be ...
X = arccos((y² +z² -x²)/(2yz)) = arccos((55² +50² -90²)/(2·55·50))
X = arccos(-2575/5500) ≈ 117.9°
Pls help I’ll brainlest ASAP
Answer:
slope = change over y/change over x
point 1: (-3,-4)
point 2: (2,3)
(-4-3)/(-3-2)=(-7)/(-5)=7/5
y=mx+b -> m=slope, b=y-intercept
y=(7/5)x+b
plug in one of the points
3=(7/5)*2+b
3=14/5+b
b=1/5
slope = 7/5, y-intercept = (0,1/5)
When Damian runs the 400 meter dash, his finishing times are normally distributed
with a mean of 60 seconds and a standard deviation of 1 second. Using the empirical
rule, determine the interval of times that represents the middle 99.7% of his finishing
times in the 400 meter race.
The middle 99.7% is within 60 seconds to 63 seconds.
The empirical rule states that for a normal distribution, 68% are within one standard deviation from the mean, 95% are within two standard deviations from the mean and 99.7% are within three standard deviations from the mean.
Given that:
mean (μ) = 60 seconds, standard deviation (σ) = 1 second
99.7% are within three standard deviations = μ ± 3σ = 60 ± 3(1) = (57, 63)
The middle 99.7% is within 60 seconds to 63 seconds.
Find out more at: https://brainly.com/question/4518679
0.03249 in standard form to 3 significant figures is
(A) 3.24 × 10−1
(B) 3.24 × 10−2
(C) 3.25 × 10−2
(D) 3.25 × 10−3
arithmetic sequence, can anyone help with this questions plz?
Answer:
Add 2/3
Step-by-step explanation:
2/3 + 2/3 = 4/3 + 2/3 = 6/3 (or 2) + 2/3 = 8/3 +2/3 = 10/3
Enrique bought a football and a puzzle at a store.
He paid $15.35 for the football.
He paid a total of $24.02 for the football and the puzzle.
How much did Enrique pay for the puzzle, in dollars and cents?
Answer:
8 dollars and 67 cents...8.67
Step-by-step explanation:
5 dollar bill
3 one dollar bills
2 quarters
1 dime
1 nickel
2 pennies
1/3(x+6)=2/3(x-9)
multi step equation
[tex]\dfrac13(x+6) = \dfrac 23 (x-9) \\\\\\\implies x+6 = 2(x-9)~~~~;[ \text{Multiplying both sides by 3}]\\\\\implies x +6 = 2x -18\\\\\implies 2x -x = 6+ 18 \\\\\implies x = 24[/tex]
Given [tex]cot(\alpha )=-\sqrt{3}[/tex] and [tex]\pi/2 \ \textless \ \alpha \ \textless \ \pi[/tex], find the exact values of the five remaining trigonometric functions:
1. [tex]sin(\alpha )[/tex]
2. [tex]cos(\alpha )[/tex]
3. [tex]tan(\alpha )[/tex]
4. [tex]csc(\alpha )[/tex]
5. [tex]sec(\alpha )[/tex]
Immediately, by definition of cotangent, we find
tan(α) = 1/cot(α) = 1/(-√3)
⇒ tan(α) = -√3
Given that π/2 < α < π, we know that cos(α) < 0 and sin(α) > 0. In turn, sec(α) < 0 and csc(α) > 0.
Recall the Pythagorean identity,
cos²(α) + sin²(α) = 1
Multiplying both sides by 1/sin²(α) recovers another form of the identity,
cot²(α) + 1 = csc²(α)
Solving for csc(α) above yields
csc(α) = + √(cot²(α) + 1) = √((-√3)² + 1) = √4
⇒ csc(α) = 2
⇒ sin(α) = 1/2
Solve for cos(α) using the first form of the Pythagorean identity:
cos(α) = - √(1 - sin²(α)) = - √(1 - (1/2)²) = - √(3/4)
⇒ cos(α) = -√3/2
⇒ sec(α) = -2/√3
What is the area of a triangle with a base of √10 and a height of √13
Answer:
5.691
Step-by-step explanation:
v10=3.162 and v13=3.605
so 3.162x3.605= 11.383
the 11.383 divided by 2 = 5.691
100 points please help will give brainliest
Answer:
The two angles ADB and BDC are congruent since they are both right angles.
The segment AD and CD are congruent since D is the midpoint of AC.
Segment BD is in common for the two triangles.
The triangles ABD and BCD are congruent by SAS. In particular, Angle A is congruent to angle C (they are opposite to congruent sides), QED
plssss help, need major help with the second question // 25 points
Answer:
22
Step-by-step explanation:
9 + 8 + 14 = 22
I hope this helps!
The perimeter of a rectangle is 20/33 feet. The length of three sides together is 16/33 feet.
What is the length of the fourth side?
40 feet
4/33feet
16/33feet
20/33feet
my bro has homework and he needs help but I don't have the time to help him
Answer: 25
Step-by-step explanation:
Subtract 46.50 - 46.25 and you’ll get 25
What is the slope of the line?
Answer:
1/3
Step-by-step explanation:
m = (y2-y1)/(x2-x1)
m = (0- -3)/(5- -4)
m = 3/9 = 1/3
If you live 1.5 miles from school and you walk at a rate of 3mph, when should you leave home in order to arrive at school by 9:00?
Work Shown:
time = distance/speed
time = (1.5 miles)/(3 mph)
time = (1.5/3) hours
time = 0.5 hours
time = 30 minutes
It takes 30 minutes to walk to school, so you should leave a half hour before 9:00. Subtracting 30 minutes from 9:00 gets you to 8:30. If anything, you should start a little bit before 8:30 just in case something might slow you down for one reason or another.
help with this please
Answer:
8
Step-by-step explanation:
we conformed the 8s by 4 and 3
The solution is -1/2.
Which multiplication equation has the given solution?
Answer:
5x=-(5/2) ~~ first choice
Step-by-step explanation:
divide both sides by 5
-> x=(5/2)/5
simplify the above
-> x = - (5/2x5)
simplify
-> x = -(5/10)
simplify and solve
=> x = - 1/2
(basically trial and error)
Find the slope of the line.
Calvin and Sanjay are each thinking of a number. If you multiply Sanjay’s number by 3 and subtract
2, you get Calvin’s number. If you take half of Calvin’s number and then subtract 2, you get Sanjay’s
number. What number is each thinking of?
Answer:
Calvin's number: 16 Sanjay's number: 6
Step-by-step explanation:
6 x 3 = 18, 18 - 2 = 16
16 / 2 = 8, 8 - 2 = 6
what is the value of x?
Answer:
132
Step-by-step explanation:
corresponding angles are the same
If ^ ABC ≈ ^ DEC, what is the value of x?
Answer:
D. x=1
Step-by-step explanation:
4x-1=x+2
you cancel out the 1 by adding it to both sides so then it will be 4x=x+3
then subtract x by both sides then it will be 3x=3
then simplify then it will be x=1
Lila earns 2,725,98 per month how much money does she have left after paying all these bills
Rent 1,250,00 groceries 325,78 electricity 55,27
Answer:
$1,094.93
Step-by-step explanation:
The income is how much money you make. You lose the money you spend. To find how much money you have left, just subtract the income with everything you spent.
This means the final answer is: 2725.98 - (1250.00 + 325.78 + 55.27) = $1,094.93
PLEASE HELP DUE NOW!!
Answer:
✓ C. f(x)= sqrt 1/x
Step-by-step explanation:
i hoep this answer your question
Carlos is at the store buying pencils. There is a package with 4 pencils that
costs $5 or a package with 5 pencils that costs $6. Which package is the
better buy?
A. The $6 package, because each pencil costs $1.20.
B. The $6 package, because each pencil costs $0.83.
C. The $5 package, because each pencil costs $1.25.
D. The $5 package, because each pencil costs $0.80.
Answer:
The best answer would be A. because 6 divided by 5 is 1.20. Pls give me brainliest because i am trying to rank up.
Step-by-step explanation:
The domain of y = cosx is the set of real numbers. True False
Answer:
true
Step-by-step explanation:
From a hot-air balloon, Grayson measures a 29^{\circ} ∘ angle of depression to a landmark that’s 1004 feet away, measuring horizontally. What’s the balloon’s vertical distance above the ground? Round your answer to the nearest hundredth of a foot if necessary.
The balloon’s vertical distance above the ground is 556 feet
The set up will form a right triangle.
Given the following parameters
Angle of depression = 29 degreesHorizontal distance = 1004 feetTo get the height above the ground, we will use the SOH CAH TOA identity as shown;
Opposite = h
Adjacent = 1004 feet
Tan theta = h/1004
Tan 29 = h/1004
h = 1004 tan 29
h = 1004(0.5543)
h = 556.52 feet
Hence the balloon’s vertical distance above the ground is 556 feet
Learn more on angle of depression here: https://brainly.com/question/23497407
Which of the following is a correct interpretation of the expression 3+(-7)
Thanks
[tex]\huge\underline\mathtt\colorbox{cyan}{3-7}[/tex]
Step-by-step explanation:
The correct interpretation of 3+(-7) is 3-7, simply
Answer:
The answer will be
3+(-7)
The sum of positive and negative is negative
So 3+(-7) is 3-7
= -4
Step-by-step explanation:
Hope it helps
Please Mark as brainliest
The library had 201 shelves of books. Each shelf had 12 books. Librarians checked out 809 books to students. How many books does the library have remaining?
Answer:
Mr. Pham should expect about 45165 books to have no damage or minor damage.
I need the answer asap and the demonstration please
Answer:
4
Step-by-step explanation:
Use system of equations to solve for x.
Find the coefficient of x in the polynomial ( 4y - 13 - 5z - 4x )
[tex]\large\huge\green{\sf{Answer:-}}[/tex]
the coefficient of x in the polynomial ( 4y - 13 - 5z - 4x ) is -4Answer:
[tex]\huge\boxed{\sf -4}[/tex]
Step-by-step explanation:
The given polynomial is:
4y - 13 - 5z - 4x
Coefficient:
The term/number (along with the sign) with that certain variable is called coefficient.
x has the coefficient of :
-4 (number along with x)
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807If we identify the points as follows, what are
the inputs to the slope formula?
(-1, -2) and (3, 0)
Answer:
B
Step-by-step explanation:
Answer:
it is -2
Step-by-step explanation:
i got it right