Answer:
C=2rPi
Step-by-step explanation:
The circumference of a circle is the 2 times the radius and Pi
PLS ANSWER RN
Pierre is making a mural. He wants to cut a piece of tile to fit in between two others. He knows that one angle has to be 46°. What must m
A. 23
B. 24
C. 67
D. 134
Enter the coordinates of the
point on the unit circle at the
given angle.
-135°
Type + or -
V2
[? ]
2
12
>
2
Answer:
It's just negative, just enter this sign -
Step-by-step explanation:
The coordinates of the point on the unit circle at an angle -135° are [tex](-\frac{\sqrt{2} }{2} ,-\frac{\sqrt{2} }{2} )[/tex]
What are coordinates of point on the circle?"The coordinates of any point on the circle [tex]x^{2}+ y^{2}= r^{2}[/tex] are [tex](r~cos\theta,r~sin\theta)[/tex]"
Formula of sin(A ± B)sin(A ± B) = sin(A)cos(B) ± cos(A)sin(B)
Formula of cos(A - B)cos(A - B) = cos(A)cos(B) + sin(A)sin(B)
For given question,
We need to find the coordinates of the point on the unit circle at an angle -135°
We know, for unit circle radius = 1
So, the coordinates of any point on the unit circle would be [tex](cos\theta, sin\theta)[/tex]
Here, [tex]\theta=-135^{\circ}[/tex]
Now, we find the the value of [tex]sin(-135^{\circ}),~cos(-135^{\circ})[/tex]
[tex]sin(-135^{\circ})\\\\=-sin(135^{\circ})\\\\=-sin(180^{\circ}-45^{\circ})\\\\=-[sin(180^{\circ})cos(45^{\circ})-cos(180^{\circ})sin(45^{\circ})]\\\\=-[0\times \frac{1}{\sqrt{2} }-(-1)\times \frac{1}{\sqrt{2} } ]\\\\=-(0+\frac{1}{\sqrt{2} } )\\\\=-\frac{1}{\sqrt{2} }\\\\=-\frac{1\times \sqrt{2} }{\sqrt{2} \times \sqrt{2} }\\\\=-\frac{\sqrt{2} }{2}[/tex]
and cos(-135°) would be,
[tex]cos(-135^{\circ})\\\\=cos(135^{\circ})\\\\=cos(180^{\circ}-45^{\circ})\\\\=cos(180^{\circ})sin(45^{\circ})+sin(180^{\circ})sin(45^{\circ})\\\\=((-1)\times \frac{1}{\sqrt{2}} )+(0\times \frac{1}{\sqrt{2} }) \\\\=-\frac{1}{\sqrt{2} }+0\\\\ =-\frac{1}{\sqrt{2}}\\\\=-\frac{1\times \sqrt{2} }{\sqrt{2}\times \sqrt{2}}\\\\=-\frac{\sqrt{2} }{2}[/tex]
Therefore, the coordinates of the point on the unit circle at an angle -135° are [tex](-\frac{\sqrt{2} }{2} ,-\frac{\sqrt{2} }{2} )[/tex]
Learn more about the coordinates of the point on the unit circle here:
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Michiko bought pens for $3.85 and pencils for $1.25. How much did she spend all together
Answer:
$5.10
Step-by-step explanation:
$3.85+$1.25=$5.10
Answer:
If she only bought one pen and one pencil, $5.10
Step-by-step explanation:
For its standard checking account northwest bank charges a fee of 2.50 plus 0.10 per check the Function use to determine total monthly charges is C=2.50+0.10n where C = monthly charges and n= to number of charges If a customer writes 24 check during a month How much would he customer Be charged
A rectangular prism has a top face of 12 square feet and a height of 4 feet. What is the volume of this rectangular prism
Answer
i think it is 48.
Step-by-step explanation:
Find the measure of the exterior 21.
45°
Ο Α. 10"
Β. 125°
C. 80'
D. 100°
Answer:
D. 100
Step-by-step explanation:
2. Find the sum of the 7th term of the
geometric series. 3+1+1/3+ ...
How do I find it, must show work
Answer:
sum
In the given G.S., we have,
a
=
the
1
s
t
term
=
3
,
& the common ratio
r
=
−
6
3
=
−
2
Hence, the sum
S
n
of its first
n
terms is given by,
S
n
=
a
(
1
−
r
n
)
1
−
r
∴
The Reqd. Sum S_7
=
3
(
1
−
(
−
2
)
7
)
1
−
(
−
2
)
=
3
(
1
+
128
)
3
=
129
Two wires
tether a balloon to the ground, as shown. How
high is the balloon above the ground? (Must Use Right
Triangle Trigonometry)
Answer:
am i suppoesd to do number 7 as well?
Step-by-step explanation:
Two wires
tether a balloon to the ground, as shown. How
high is the balloon above the ground? (Must Use Right
Triangle Trigonometry)
look at picture
The height of the balloon above the ground is 554 ft.
I have attached a diagram where i have divided the triangle shown into 2.From the attached image, the third angle in triangle 1 would be;
180 - (90 + 85) = 5°
The supplementary angle in triangle 2 to 85° in triangle 1 is;
180 - 85 = 95°(because supplementary angles add up to 180)
The third angle of triangle 2 is; 180 - (95 + 75) = 10°
If we label the shared slant side between the two triangles as z, the we can use sine rule to find z from triangle 2;100/sin10 = z/sin 75
z = 100(sin 75)/(sin 10)
Applying trigonometric ratio to triangle 1, we can find h as;h/z = sin 85
h = z sin 85
h = [100(sin 75)/(sin 10)] × sin 85
h ≈ 554 ft
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Solve for u. 2u-9= 25
Answer:
Hello! answer: u = 17
Step-by-step explanation:
answer is 17 because... 17 × 2 = 34 and 34 - 9 = 25 Hope that helps!
Answer:
u=17
Step-by-step explanation:
2u-9=25
2u=34
u=17
Which value from the set {1, 2, 9, 20} will make 4(3 + x) = 6x + 4x true
Answer:
2
Step-by-step explanation:
4(3+2) = 6(2)+4(2)
4(5) = 12 + 8
20=20
Answer:
2
Step-by-step explanation:
4(3+2)=20
6(2)+4(2)
12+8=20
so 2 is the answer i hope this answer helps you and solve the question if you don't know please use calculaotor this question you need to use substitution so substitute values from the set as x and try putting in to both equation to see both equation has same answer and matches
−
7
<
−
1
2 i really need help plz
Answer:
I'm guessing you mean -7 < -12 and if it's true and false, if so the answer would be false because -7 is larger than -12.
Step-by-step explanation:
I'm guessing you mean -7 < -12 and if it's true and false, if so the answer would be false because -7 is larger than -12.
(Tell me the question if this is incorrect. Thanks!!!)
Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!
Here are the percents of the popular
vote won by each successful candidate
in 15 presidential elections.
49.6, 55.1, 57.4, 49.7, 61.1, 43.4,
60.7, 50.1, 50.7, 58.8, 53.9, 43.2,
49.2, 47.9, 51.2
What is the first quartile?
Plzz help ASAP
Answer:
49.2
Step-by-step explanation:
In PQR, the measure of R=90degrees, QP=53, RQ=45 and PR=28. What ratio represents the sine of P?
Step-by-step explanation:
sin(p) = opposite / hypontenuse = 45 / 53
Find the volume of a pyramid with a square base, where the area of the base is
12.2 m² and the height of the pyramid is 12.3 m. Round your answer to the nearest
tenth of a cubic meter.
Answer:
50.0 cm²
Step-by-step explanation:
Applying
Volume of a pyramid (V) = 1/3×Area of the base(A')×Heigth(H)
A= 1/3A'h.................... Equation 1
A' = Area of the base, h = height of the pyramid
From the question,
Given: A' = 12.2 m², h = 12.3 m
Substitute these values into equation 1
A = 1/3(12.2×12.3)
A = 50.02
A = 50.02 cm²
A = 50.0 cm²
Shari bought 3 breath mints and received $2.76 change.Jamal bought 5 breath mints and received $1.20 change. If Shari and Jamal had the same amount of money how much does each breath mint cost?
Answer:
Step-by-step explanation:
I need answer plz I beg I will give you a good rating and also points.
Answer:
44.95+x <= $250
Step-by-step explanation:
its the second option
she spent $44.95 on the 2 books she already bought. if x represents what she has left to spend, the total has to be LESS THAN or EQUAL TO $250 when they're added, so the second option is correct.
Can someone help please
Slope : 3
y - intercept : -2
Equation : y = -3x-2
1 hour 42 minutes 1 hour 32 minutes+1 hour 38 minuts+1 hour 30 minutes
Answer:
382
Step-by-step explanation:
Just add all of them and 1 hour equals 60 mins
First, lets add the hours.
1 hour + 1 hour + 1 hour = 3 hours
Now, let's add the minutes,
42 minutes + 32 minutes + 38 minutes + 30 minutes = 142 minutes
1 hour = 60 minutes
How many grouped 60's are there in 142? There are 2 full 60s in 142 minutes.
2 60s = 120 minutes
Add 2 hours, but subtract 120 minutes.
142 minutes - 120 minutes = 22 minutes
So, the final answer is 5 hours and 22 minutes.
If this helps, please mark brainliest!
Have a wonderful day!
Which two expressions are equivalent? B. A 4(2 + x) 4.2 +2.x 4 + 2 + x (4 + 2) + X D. C. 4. X + 2 4. (x + 2) 4 = (2-x) 4- 2 = X
question number eight answer
Answer:
22 shots.
Step-by-step explanation:
90 shots times 24.6% = 22.14
He missed 22 shots.
What is the slope of a line perpendicular to the line whose equation is x - y = 6. Fully simplify your answer.
Answer:
-1
Step-by-step explanation:
first put the equation in slop int form:
y= x-6
to find the slope of a line that is perpendicular take the negative reciprical of the slope
so the answer is
-x
what is 7,548,392 rounded to 100
Answer:
7,548,400
Step-by-step explanation:
Ben and Jane have been approved for a $220,000 loan, 30-year mortgage with an APR of 3.82%. What will be their total interest for the 30 years?
The total interest on the loan will be $457,412,82892.
What is a mathematical equation and expression?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is that Ben and Jane have been approved for a $220,000 loan, 30 - year mortgage with an APR of 3.82%.
We can find the total interest on loan, using the formula -
I = {P(1 + APR/100)^t − P}
The principal amount of loan = $220,000
Compound APR = 3.82%
Time = 30 years
Using the formula, we get -
220,000[1 + 0.0382]^30−220,000
220000{[1 + 0.0382]^30 - 1}
$457,412,82892
Therefore, the total interest on the loan will be $457,412,82892.
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2(x + 4)2 = 20 solve by square roots
Answer:
x = − 4 ± √ 10,
Step-by-step explanation:
2(x + 4)² = 20
=> 2(x + 4) (x + 4) = 20
=> 2x + 8 (x + 4) = 20
=> 2x² + 8x + 8x + 32 = 20
=> 2x² + 16x + 32 = 20
=> 2x² + 16x + 12 = 0
=> Now solve using the quadratic formula:
x = − 4 ± √ 10,
Radical form: − 4 ± √ 10,
Decimal form: -0.84, -7.16
Hope this helps!
what is the measure of m
9514 1404 393
Answer:
m = 8
n = 4√3
Step-by-step explanation:
The right triangles in this figure are all similar, so the ratios of hypotenuse to short side are the same.
(12+4)/m = m/4
64 = m² . . . . multiply by 4m
8 = m . . . . . . square root
__
Likewise, the ratio of long side to short side is the same.
12/n = n/4
48 = n² . . . . . . multiply by 4n
4√3 = n . . . . . take the square root
_____
Additional comment
You may have noticed that the ratios of side lengths are ...
4 : n : m = 4 : 4√3 : 8 = 1 : √3 : 2 . . . . . side lengths of a 30°-60°-90° triangle
This means the unmarked side is 8√3.
__
We supplied all of the missing lengths because we know this problem is likely to be presented in different forms, asking for values other than m.
jen deposits $9,500 into a bank account that pays her 4.5% simple interest for 5 years. How much interest will she earn over 5 years
Answer:
9927.5$
Step-by-step explanation:
4.5% 0f 9500 is 427.5$ which is growing in 5 years. thats the best explanation i can give.
PLS I NEED HELP FAST
Find the surface area of the cone.
Answer:
373.8
Step-by-step explanation:
It has been observed that some persons who suffer acute heartburn, again suffer acute heartburn within one year of the first episode. This is due, in part, to damage from the first episode. The performance of a new drug designed to prevent a second episode is to be tested for its effectiveness in preventing a second episode. In order to do this two groups of people suffering a first episode are selected. There are 163 people in the first group and this group will be administered the new drug. There are 160 people in the second group and this group wil be administered a placebo. After one year, 13% of the first group has a second episode and 14% of the second group has a second episode. Select a 90% confidence interval for the difference in true proportion of the two groups.
a) [0.00590, 0.0251].
b) [0.00690, 0.0551].
c) [0.0890, 0.0551].
d) [0.00690, 0.0351].
e) [0.00890, 0.0651].
Answer:
90% confidence interval for the difference in true proportion of the two groups is (-0.0717, 0.0517).
Step-by-step explanation:
Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
First group: Sample of 163, 13% has a second episode.
This means that:
[tex]p_1 = 0.13, s_1 = \sqrt{\frac{0.13*0.87}{163}} = 0.026[/tex]
Second group: Sample of 160, 14% has a second episode
This means that:
[tex]p_2 = 0.14, s_2 = \sqrt{\frac{0.14*0.86}{160}} = 0.027[/tex]
Distribution of the difference:
[tex]p = p_1 - p_2 = 0.13 - 0.14 = -0.01[/tex]
[tex]s = \sqrt{s_1^2+s_2^2} = \sqrt{0.026^2+0.027^2} = 0.0375[/tex]
Confidence interval:
The confidence interval is:
[tex]p \pm zs[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
90% confidence level
So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].
Lower bound:
[tex]p - 1.645s = -0.01 - 1.645*0.0375 = -0.0717[/tex]
Upper bound:
[tex]p + 1.645s = -0.01 + 1.645*0.0375 = 0.0517[/tex]
90% confidence interval for the difference in true proportion of the two groups is (-0.0717, 0.0517).
Before agreeing to purchase a large order of polyethylene sheaths for a particular type of high-pressure, oil-filled submarine power cable, a company wants to see conclusive evidence that the population standard deviation of sheath thickness is less than .05 mm. What hypotheses should be tested, and why
Answer:
H0 : σ = 0.5
H0 : σ < 0.5
Step-by-step explanation:
From the scenario described above, the company wants to see conclusive evidence that the population standard deviation of sheath thickness is less than .05 mm ; THIS SIMPLY means ; REJECTION OF the NULL HYPOTHESIS. This is because once there is a significant or conclusive evidence in hypothesis testing, then we reject the null and support the claim of the alternative hypothesis.
Hence, the alternative hypothesis is ; population standard deviation of sheath Thickness is less than 0.5.
H1 : σ < 0.5 ;
Therefore, our null will be ;
H0 : σ = 0.5
PlS help lots of points