Answers
9514 1404 393
Answer:
(7 -24√3)/50 = 0.14 -0.48√3
Step-by-step explanation:
Sine is negative and cosine is positive in the 4th quadrant, so ...
sin(α) = -√(1 -cos(α)²) = -√(1 -576/625) = -7/25
Then the cosine of the angle sum is ...
cos(α +5π/6) = cos(α)cos(5π/6) -sin(α)sin(5π/6)
= (24/25)(-√3/2) -(-7/25)(1/2)
= (7 -24√3)/50 = 0.14 -0.48√3
Related Questions
The area of circle Z is 64 it? What is the value of r ?
r=4 ft
r= 8 ft
r= 16 ft
r= 32 ft
Answers
Answer:
Area of a circle = π·r²
64 = π·r²
r²= 64/ π
r²= 20.37
r= 4.51 ft
OPTION A
Answer:
The answer is 8 guys not 4 or 4.5. It literally says on the question that its 64Pi not just 64
Step-by-step explanation:
I WILL MARK BRAINIEST
Answers
Answer:
m<4= 60
m<1=60
m<3=30
Step-by-step explanation:
I'd like to explain but I would be very difficult to do with out being in person
Answer:
m1 = 60°
m2 = 90°
m3 = 30°
m4 = 60°
Step-by-step explanation:
m<5 + m<4 = 180° ( on a straight line)
120° + m<4 = 180°
m<4 = 60°
m<2 = m<3 + m<4
90° = m<3 + 60° ( on a straight line)
m<3 = 90° - 60°
m<3 = 30°
m<1 + m<2 + m<3 = 180°
m<1 = 180 - 90 -30
m<1 = 60°
Which coordinates represent the plotted point? Check all that apply.
Answers
Answer:Its A,C,E or 1,3,5
Step-by-step explanation:
Got it right in Ed
Answer:
A C E
Step-by-step explanation:
The area of a soccer field is (24x? + 100x + 100) mº. The width of the field is (4x + 10) m. What is the length? A (3x + 10) m C (6x + 10) m B (6x + 1) m D (8x + 2) m
NEED HELP FAST
Answers
Answer:
The correct answer is C
Cassandra has $2000 dollars in a bank account that she uses to make automatic $900.01 mortgage
payments each month. If Cassandra stops making deposits to that account, when would automatic
payments make the value of the account zero? Use a table to estimate the solution. Then use a graphing
calculator to approximate the x-intercept
Answers
Answer:
no
Step-by-step explanation:
it's CASSANDRA business so she solve it herself
im not sure this one is confusing
Part B
Does this curved line represent a function? if not at what points does it fall the vertical line test?
Answers
Answer:
This graph does not represent a function. Two points where it fails the vertical line test are (0, 0) and (0, 1).
Step-by-step explanation:
This is the exact answer edumentum gave me. be careful, i got this wrong.
What did philosophical pig say?
(Geometry Version)
Answers
Answer:
A: m<BOD = 95°
O: m<AOC = 75°
R: m<AOD = 113°
T: m<GUH = 61°
M: m<GUI = 92°
E: m<EUF = 37°
F: m<EUI = 160°
K: m<MAN = 30°
I: m<LAM = 40°
S: m<KAM = 80°
H: m<JAN = 140°
N: m<KAN = 110°
✅I STINK THEREFORE I HAM
Step-by-step explanation:
A: m<BOD = 57° + 38° = 95°
O: m<AOC = 18° + 57° = 75°
R: m<AOD = 18° + 57° + 38° = 113°
T: m<FUG = 31°, since, FUG ≅ HUI, therefore, m<HUI = 31°
m<FUI = 123°
m<GUH = m<FUI - (m<FUG + m<HUI)
m<GUH = 123° - (31° + 31°)
m<GUH = 61°
M: m<GUI = m<GUH + HUI
m<GUI = 61° + 31°
m<GUI = 92°
E: m<EUH = 129° (given)
m<EUF = m<EUH - (m<FUG + m<GUH)
m<EUF = 129° - (31° + 61°)
m<EUF = 37°
F: m<EUI = m<EUF + m<FUG + m<GUH + m<HUI
m<EUI = 37° + 31° + 61° + 31°
m<EUI = 160°
K: since <JAK ≅ <MAN, and m<JAK is given as 30°, therefore,
m<MAN = 30°
I: m<JAM = 110° (given), m<JAK = 30° (given)
Since <KAL ≅ <LAM, therefore,
m<LAM = ½(m<JAM - m<JAK)
m<LAM = ½(110° - 30°)
m<LAM = 40°
S: m<KAM = m<KAL + m<LAM
Since <KAL ≅ <LAM, therefore,
m<KAM = 40° + 40°
m<KAM = 80°
H: m<JAN = m<JAK + m<KAL + m<LAM + m<MAN
m<JAN = 30° + 40° + 40° + 30°
m<JAN = 140°
N: m<KAN = m<KAL + m<LAM + m<MAN
m<KAN = 40° + 40° + 30
m<KAN = 110°
Place the letters on the appropriate lines given to match the angle measure we've cakcukated, to figure out the joke.
✅We would have:
I STINK THEREFORE I HAM
Express the following
ratio in its simplest
terms: 4 weeks 6 days
Answers
Answer:
it would be 2/3............
Answer:
=4:6
4
6
=2
3
2:3
Step-by-step explanation:
Hope this helps
Pls mark me the brainliest
Help me pleaseeeeeeeeeeeeeeeeee
Answers
The number of phone calls your business receives daily has mean 20.6 and standard deviation 4.4. You record the number of phone calls received over the next 100 days and compute the average. The probability that is more than 21 is:_____
a. approximately 0.9186.
b. approximately 0.1814.
c. approximately 0
d. approximately 0.464
Answers
Answer:
The correct option is b.
Step-by-step explanation:
According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.
Then, the mean of the sample means is given by,
[tex]\mu_{\bar x}=\mu\\[/tex]
And the standard deviation of the sample means is given by,
[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]
As the sample size is large, i.e. n = 100 > 30, the Central Limit Theorem can be used to approximate the sampling distribution of sample mean number of phone calls your business receives daily.
Compute the probability that the average number of phone calls your business receives daily is more than 21 as follows:
[tex]P(\bar X>21)=P(\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}>\frac{21-20.6}{4.4/\sqrt{100}})\\\\=P(Z>0.91)\\\\=1-P(Z<0.91)\\\\=1-0.81859\\\\=0.18141\\\\\approx 0.1814[/tex]
Thus, the correct option is b.
The probability that a house in an urban area will develop a leak is 2%. If 21 houses are randomly selected, what is the probability that none of the houses will develop a leak?
Answers
Answer:
The probability that none of the houses will develop a leak is 0.6543.
Step-by-step explanation:
Let X denote the number of houses in an urban area that develop a leak.
The probability that a house in an urban area will develop a leak is, p = 0.02.
A random sample of n = 21 houses are selected.
Every house is independent of developing a leak.
Thus, the random variable X follows a binomial distribution with parameters n = 21 and p = 0.02.
Compute the probability that none of the houses will develop a leak as follows:
[tex]P(X=0)={21\choose 0}(0.02)^{0}(1-0.02)^{21-0}\\\\=1\times1\times 0.654256\\\\\approx 0.6543[/tex]
Thus, the probability that none of the houses will develop a leak is 0.6543.
3. Lisa's checking account charges her a $35 overdraft fee plus the purchase amount
for each purchase that cause her account balance to go below or stay below $0.
On Monday, her account balance was only $40. She made the following purchases
in order:
$25 on a gift for her friend
$10 on fast food
$37 on groceries
$15 on gas
She then deposited a $650 check into her account.
What is her new account balance? IS
(8 Points)
5498
$533
$568
$603
Answers
What is the slope of this problem?
Answers
Answer:
The slope of the problem is 4.
does anyone get how to do transformations?
Answers
Answer:
B. reflection
Step-by-step explanation:
hope this helps :3
if it did pls mark brainliest
sorry if im wrong
If you can do your homework at a rate of 3 minutes for every problem, how many problems
could be done after 4.81 hours? Round to a whole number.
Answers
Answer:
96.2
Step-by-step explanation:
well, it rounds up to 96, so the answer would be 96, but the actual answer is 96.2
The radius of a right circular cylinder is given by √(t+6) and its height is 1/6√t, where t is time in seconds and the dimensions are in inches. Find the rate of change of the volume with respect to time. and its height is? (in3/s)
Answers
Answer:
[tex]\mathbf{\dfrac{dV}{dt} = \pi \bigg ( \dfrac{{t}+2}{4\sqrt{t}}\bigg)}[/tex]
Step-by-step explanation:
Given that:
The radius of a right cylinder is given by √(t+6) and its height is 1/6√t;
The volume of a given circular cylinder is:
[tex]V = \pi r^2 h[/tex]
[tex]V = \pi(t+6) \bigg ( \dfrac{\sqrt{t}}{6}\bigg)[/tex]
[tex]V = \pi \bigg( \dfrac{t^{3/2}}{6}+ \sqrt{t} \bigg)[/tex]
[tex]\dfrac{dV}{dt} = \pi \bigg ( \dfrac{3 \sqrt{t}}{12}+ \dfrac{1}{2\sqrt{t}} \bigg)[/tex]
[tex]\dfrac{dV}{dt} = \pi \bigg ( \dfrac{3t}{12 \sqrt{t}}+ \dfrac{6}{12\sqrt{t}} \bigg)[/tex]
[tex]\dfrac{dV}{dt} = \pi \bigg ( \dfrac{3 {t}+6}{12\sqrt{t}}\bigg)[/tex]
[tex]\mathbf{\dfrac{dV}{dt} = \pi \bigg ( \dfrac{{t}+2}{4\sqrt{t}}\bigg)}[/tex]
!!!!!!!PLEASE HELP I NEED THIS FOR TODAY!!!!!
Shelly has a summer job where she cams $800 each summer. She plans to work at this summer job
year for the next fie summers. She wants to save the money from her summer job to pay for her first
year of onllege. The college she is thinking of amending charges $8.900 for one year's tuition. Her parents
The suit that they will pay half of her tuition will she have enough money for her first year's tuition? How
much does she have or how much more does she need
Answers
Daniel has 1615 Skittles stored in boxes. If there are 85 boxes, how many Skittles must go in each box?
Answers
Answer:
19
Step-by-step explanation:
While it's really easy to just divide, I'm sure your teacher wants an equation so:
1615=85x here x= skittle boxes
1615/85=x In this line you can use divide to cancel out the multiplication, giving you
x=19
Is 1/8 a terminating or a repeating fraction
Answers
Answer:
1/8 is a terminatating fraction.
Step-by-step explanation:
1/8 = 12.5
If f(x) and g(x) are quadratic functions but (f + g)(x) produces the graph below, which statement must be true?
Answers
Answer:
That the graph of (f+g)(x) is a parent graph of f(x) and g(x)
Answer:
A. The leading coefficients of f(x) and g(x) are opposite
Step-by-step explanation:
19. 2x²+5√3 x+6 = 0
Answers
Answer:
Step-by-step explanation:
2x²+5√3 x+6 = 0
Comparing this with quadratic equation ax^2+bx+c=0
So a=2,b=5√3,c=6
Discriminant D=b^2-4ac
D=(5√3)^2-4.2.6
= 75-48
=27.
27 >0
Hence the roots are real roots
X=(-b+√D)/2a, Y=(-b-√D)/2a
X=(-5√3+√27)/2×2, Y=(-5√3-√27)/2×2
X=(-5√3+3√3)/4,. Y=(-5√3-3√3) /4
X=-2√3/4,. Y=-8√3/4
X=-√3/2, Y =-2√3
So roots are X=-√3/2,Y=-2√3
Find the value of x that makes A||B.
Z2 = 3x - 20 and 25 = x + 20
x= [ ? ]
Answers
Answer:
x = 20Step-by-step explanation:
∠2 = ∠5
3x - 20 = x + 20
3x - x = 20 + 20
2x = 40
x = 40/2
x = 20
2-85. Ling wants to save $87 for tickets to a rock concert. If she has $23 now and will save $4 per week, how long will it take her to get enough money to buy the tickets? Define a variable and then write and solve an equation. (Use the 5-D Process to help you, if needed.) Write your solution as a sentence.
Answers
Answer: 16 and a half weeks so maybe put 16
that's the answer because she will save $4 per week 4 x 16 is 86 to 87
that's why i say and a half because it not exactly 87 its 86 so 16 and a half
A triangle has angles that measure 61,47,and 72. what kind of triangle is it?
A. right
B. obtuse
C. acute
Answers
Answer: Acute Triangle.
Step-by-step explanation:
A car travels 6 meters in 3 seconds.Then it stops for 5 seconds.Then it travels 2 meters in two seconds
PLS ANSWER
Answers
Answer:
it would be 8 meters in 10 seconds,Because it travels 6 meters for 3 seconds stops for 5 seconds. So then it would be 6 meters in 8 seconds then it travels 2 meters in two seconds. Which would essentially be 8 meters in 10 seconds.
Find the slope-intercept form of the equation of the line that passes through the point P and makes angle with the positive x-axis
Answers
Answer:
The answer is "[tex]y= -x+7[/tex]"
Step-by-step explanation:
If [tex]\bold{\theta = 135^{\circ}}[/tex]
point: [tex]p=(2,5)[/tex]
Formula:
[tex]\to m= \tan \theta \\\\\to (y-y_1)= m(x-x_1)[/tex]
[tex]\to m= \tan \ 135^{\circ} = -1\\\\\to x_1= 2\\\\\to y_1=5[/tex]
Put the value in the above formula:
[tex]\to y- 5 = -1(x-2)\\\\\to y- 5 = -x+2\\\\\to x+y = 5+2\\\\\to x+y=7[/tex]
[tex]\to y= -x+7[/tex]
What is the equation of the line that passes through the points (-2,5) and (4,-5)
Answers
Answer:
y=-5/3x+5/3
Step-by-step explanation:
Kate wants to buy a new bicycle from a sporting goods store. The bicycle she wants normally sells for $400. The store has a sale where all bicycles cost
2
5
of the regular price. What is the sale price of the bicycle?
Answers
Answer:
$160
Step-by-step explanation:
2/5 x 400 = 160
PLZZZZZZZZZZZZZZZZZ ANSWER What would happen if a rebuttal only had a set out counterclaims…what would happen? Prove it!!!!!!
Answers
sorry what is the question I can't read it
What is 8 2/3 divided by 1 1/5
Answers
Answer:
3 31/33
Step-by-step explanation:
26/3x5/11= 130/33=
3 31/33hope this helpedAnswer:
3.9393
Step-by-step explanation:
You can make them into an improper fraction and make the denominators the same and divide. so for 8 2/3, the improper fraction would be 26/3. 11/5 is already an improper fraction. Put it into the calculator as (26/3) / ( 11/5) and it will give you 3.9393
