Answer:
[tex]sinB=\frac{15}{17} , cos B=\frac{8}{17} , tanB=\frac{15}{8} \\sinA=\frac{8}{17} , cos A=\frac{15}{17} , tanA=\frac{8}{15}[/tex]
Step-by-step explanation:
[tex]sinB=\frac{15}{17} , cos B=\frac{8}{17} , tanB=\frac{15}{8} \\sinA=\frac{8}{17} , cos A=\frac{15}{17} , tanA=\frac{8}{15}[/tex]
Find the exact value of tan A in simplest radical form.
PLEASE HELP
Answer:
[tex] \tan(A) = \frac{opp}{adj} \\ \tan(A) = \frac{ \sqrt{72} }{3} \\ \tan(A) = \frac{ \sqrt{36 \times 2} }{3} \\ \tan(A) = \frac{6 \sqrt{2} }{3} \\ \tan(A) = 2 \sqrt{2} [/tex]
Find the circumference of a circle with a radius of 6 cm.
Hi besties i need. help ASAP please and. ty
Answer:
37.7
Step-by-step explanation:
Circumference = [tex]2\pi r[/tex]
Circumference = [tex](2)(\pi )(6)[/tex]
Circumference = 37.69911184 / 37.7
Therefore, circumference of the circle with the radius 6 cm is 37.7.
Answer:
37.7
Step-by-step explanation:
formula for circumference of a circle=2πr
2×π×6=37.7cm
Insurance companies are interested in knowing the population percent of drivers who always buckle up before riding in a car. They randomly survey 387 drivers and find that 298 claim to always buckle up. Construct a 84% confidence interval for the population proportion that claim to always buckle up.
Answer:
The 84% confidence interval for the population proportion that claim to always buckle up is (0.74, 0.80).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
They randomly survey 387 drivers and find that 298 claim to always buckle up.
This means that [tex]n = 387, \pi = \frac{298}{387} = 0.77[/tex]
84% confidence level
So [tex]\alpha = 0.16[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.16}{2} = 0.92[/tex], so [tex]Z = 1.405[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 - 1.405\sqrt{\frac{0.77*0.23}{387}} = 0.74[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.77 + 1.405\sqrt{\frac{0.77*0.23}{387}} = 0.8[/tex]
The 84% confidence interval for the population proportion that claim to always buckle up is (0.74, 0.80).
YALL PLEASE HELP ME ASAP
Answer:
B
Step-by-step explanation:
Depreciates 14% per year so 100% - 14% is 86% or 0.86. Formula is (principal)(rate)^ years
If w = 7a + 4b, which of the following equations is solved for a?
Answer: a= w - 4b/ 7
Step-by-step explanation:
Solve each equation over the interval [0°, 360°). If a decimal approximation is necessary, round to four decimal places. cos 2x -cos x-2 = 0
Answer:earthy
Step-by-step explanation:vuinh
Find the mean of the following data set 5,9,3,12,14,67,22,45,1,12,14
Answer:
18.5 i believe
Step-by-step explanation:
sorry if im wrong, have a great day!!
Find a polynomial f(x) of degree 4 that has the following zeros. 7 (multiplicity 2), 0,-4. Leave your answer in factored form
Answer:
see below
Step-by-step explanation: 5 30 9 50
This is what I think they are asking for....
the zeroes are x = 0 x = -4 x = 7 twice ?? so
x(x+4)(x-7)² = 0
when I graphed the function it looked to be correct
What are the coordinates of the solution of these two linear equations
Answer:
(-2 -3)
Step-by-step explanation:
_____________________
What are the solutions to the quadratic equation x2-16=0
Answer:
x = -4, 4
Step-by-step explanation:
Hi there!
[tex]x^2-16=0[/tex]
Rewrite 16:
[tex]x^2-4^2=0[/tex]
The difference of squares rule states that [tex]a^2-b^2=(a+b)(a-b)[/tex]. With this, apply the difference of squares to the equation:
[tex](x+4)(x-4)=0[/tex]
The zero-product property states that if the product of two numbers is 0, then one of the numbers must be equal to zero. Set each term equal to 0 and find the solutions:
[tex]x+4=0\\x=-4[/tex]
[tex]x-4=0\\x=4[/tex]
Therefore, the solutions are -4 and 4.
I hope this helps!
Which triangle isn't similar to QRS?
Answer:
∆ RPQ
Step-by-step explanation:
__________________
a serving of crackers has 1.5 grams of fat. How many grams of fat are in 3.75 servings
Answer:
5.625
Step-by-step explanation:
You just have to multiply 1.5 by 3.75 which is 5.625.
So there are 5.625 grams of fat in 3.75 servings.
5.625 grams of fat are in 3.75 servings.
You just have to multiply 1.5 by 3.75 which is 5.625.
So there are 5.625 grams of fat in 3.75 servings.
What is a Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Learn more about the unitary method here https://brainly.com/question/24587372
#SPJ2
What type of symmetry’s are shown?
Answer:
18o rotational symetry
Step-by-step explanation:
Todd Lyle worked Monday through Friday from 8:00 A.M. to 5:00 P,M. with an hour off for lunch. He is paid $10,50 an hour. Find his earnings for the week.
Answer:
$315
Step-by-step explanation:
He earns $63 everyday, and then you just have to multiply that by 5 since he works 5 days in a week.
Complete the comparison 5+4. A.9+1. B.10+0.C.5-4.D.15-4
Answer:
A.5+4<9+1
B. 5+4<10+0
C. 5+4>5-4
D. 5+4=15-4
Step-by-step explanation:
A. 9<10
B. 9<10
C. 9>1
D9=9
Answer:
A=10>5+4
B=10>5+4
C=1<5+4
D=11>5+4
Step-by-step explanation:
Determine the equation of the circle graphed below.
9514 1404 393
Answer:
(x -6)^2 +(y -6)^2 = 10
Step-by-step explanation:
To use the standard form equation for a circle, we need to know the center and the square of the radius. The center can be read from the graph as (6, 6). The square of the radius can be found using the distance formula.
d^2 = (x2-x1)^2 +(y2-y1)^2
The radius is the distance between the two points shown, so we have ...
d^2 = (7-6)^2 +(9-6)^2 = 1^2 +3^2 = 10
__
The equation of a circle centered at (h, k) with radius r is ...
(x -h)^2 +(y -k)^2 = r^2
For (h, k) = (6, 6) and r^2 = 10, the equation is ...
(x -6)^2 +(y -6)^2 = 10
the perimeter of a square is 75 cm what is the length of one side of the square
Answer:
length of one side = 18.75cm
Step-by-step explanation:
Perimeter of a square = 4 x side
75 = 4 x side
[tex]side = \frac{75}{4} = 18.75cm[/tex]
Please show steps on how to solve
log7 -2b-9=-6
Answer: b= - -log10(7)+3/2
Step-by-step explanation: log 10 (7) -2b-9=-6 : b= - -log10(7)+3/2 (Decimal : b = -1.07745...)
so these are the steps how I got it I did log 10 (7)-2b-9=-6 subtract log 10 (7) -9 from both sides log 10 (7)-2b-9-(log10(7)-9)=-6-(log 10 (7) -9)
Simplify -2b= -log10(7)+3
Divide both sides by -2 -2b/2= - log 10(7)/-2+ 3/-2 if you simplify it should give you b= - -log10(7)+3/2 that should be your answer but i'm not sure those I think that's how you do it let me know if you got it right bye!
Patel made a rectangular garden in his family's backyard. 24 ft What is the perimeter of the garden? A 336 feet B 76 feet C 48 feet D 38 f
Answer:
336+76+48+38= 498
Step-by-step explanation:
add all those sides up because it is just the perimeter
Answer:
336+76+48+38= 498
Step-by-step explanation:
Find the integration of (1-cos2x)/(1+cos2x)
Given:
The expression is:
[tex]\dfrac{1-\cos 2x}{1+\cos 2x}[/tex]
To find:
The integration of the given expression.
Solution:
We need to find the integration of [tex]\dfrac{1-\cos 2x}{1+\cos 2x}[/tex].
Let us consider,
[tex]I=\int \dfrac{1-\cos 2x}{1+\cos 2x}dx[/tex]
[tex]I=\int \dfrac{2\sin^2x}{2\cos^2x}dx[/tex] [tex][\because 1+\cos 2x=2\cos^2x,1-\cos 2x=2\sin^2x][/tex]
[tex]I=\int \dfrac{\sin^2x}{\cos^2x}dx[/tex]
[tex]I=\int \tan^2xdx[/tex] [tex]\left[\because \tan \theta =\dfrac{\sin \theta}{\cos \theta}\right][/tex]
It can be written as:
[tex]I=\int (\sec^2x-1)dx[/tex] [tex][\because 1+\tan^2 \theta =\sec^2 \theta][/tex]
[tex]I=\int \sec^2xdx-\int 1dx[/tex]
[tex]I=\tan x-x+C[/tex]
Therefore, the integration of [tex]\dfrac{1-\cos 2x}{1+\cos 2x}[/tex] is [tex]I=\tan x-x+C[/tex].
Help please!!!!!!!!!!!!!!!
Answer:
-1, 5
Step-by-step explanation:
no really explanation, but its a graph and when u have agraph x goes before y. and the x in the middle of it is what its talking about and u can see the middle is on a 5 and a -1
Solve for the value of x. Round to the nearest tenth.
What is the greatest common factor of the two terms
24x^6 and 18x^4
30x^3y^5 and 25x^2y
24x⁶ and 18x⁴ —> 6x⁴
30x³y⁵ and 25 x²y —> 5x²y
In Δ Q R S s = 7.9 cm ∠ Q = 125 ∘ and ∠ R = 23 ∘ '. Find the length of q, to the nearest 10th of a centimeter.
Answer- 12.2
Answer:
See the attachment ⬆️⬆️
(k+1)x^2-8kx+(3k+5) calculate the value for k
Answer:
Step-by-step explanation:
Let's simplify step-by-step.
(k+1)(x2)−8kx+3k+5
Distribute:
=(k)(x2)+(1)(x2)+−8kx+3k+5
=kx2+x2+−8kx+3k+5
Answer:
=kx2−8kx+x2+3k+5
Consider a random variable Z which has a standard normal distribution (mu = 0, sigma = 1). Choose which of the following values would be equivalent to the following probability:
P (Z > 0.54)
A. P(Z > 0.54.
B. P(Z < 0.54).
C. 1 - P(Z < - 0.54).
D. 1 - P(Z < 0.54).
Answer:
A. P ( Z > 0.54) = 0,7054
B. P ( Z < 0.54) = 0.2946
C.1) 1 - 0.2946 = 0.7054
D.1) 1 - 0.2946 = 0.7054
Step-by-step explanation:
A) P ( Z > 0.54) = 1 - P ( Z ≤ 0.54)
P ( Z ≤ 0.54) = 0,2946 from z-table
P ( Z > 0.54) = 1 - 0,2946
P ( Z > 0.54) = 0,7054
B) P ( Z < 0.54) = 0.2946
C) 1 - P ( Z < - 0,54)
1 - 0.2946 = 0.7054
D) 1 - P ( Z < 0,54)
1 - 0.2946 = 0.7054
The question is in the picture (:
Answer:
[tex] \frac{(x - 2)(x + 2)}{x - 8} [/tex]
Which coordinate point represents the y -intercept of the equation 3x + 2y = 18
Answer:
(-6,18)
Step-by-step explanation:
3x + 2y = 18
2y= -3x + 18
y=-3/2 x + 18
give x=0
y=-3/2 *0+18
y=18#
y=18
3x+2(18)=18
3x+36=18
3x=18-36
3x=-18
x=-18/3
x=-6
Which of the following plots has exactly 2 clusters and
1 outlier
Please look at the image
Answer:
2) <TWN and <SWM
Step-by-step explanation:
2) <TWN and <SWM
Answer:
(2)
Step-by-step explanation:
This is because they are both vertical to one another!
Hope this helps!