Answers
Answer:
[tex]AB\approx 24.22[/tex]
Step-by-step explanation:
In any right triangle, the sine of an angle is equal to its opposite side divided by the hypotenuse of the triangle.
In this case, in order to form the ratio, we're looking for the angle to the bottom right of the triangle. Notice how this angle is the supplement to the angle marked [tex]130.8^{\circ}[/tex]. Since the two angles form one side of the line, we can solve for this angle.
Let's call the angle [tex]\theta[/tex]:
[tex]130.8+\theta=180,\\\theta=49.2^{\circ}[/tex]
From basic. trig for right triangles (refer to first paragraph in answer):
[tex]\sin 49.2^{\circ}=\frac{AB}{32},\\AB=32\sin 49.2^{\circ}=24.2238417809\approx \boxed{24.22}[/tex]
Related Questions
Find the error & explain why it is wrong: Megan wanted to solve this problem: given that sin 0=-divided2/2, and cos =divided3/2, find tan 0
What did she do wrong
Answers
Answer:
As seen on the picture, all the steps A to D are correct.
Step A. Identity is correctStep B. The fraction is correctStep C. Simplification is correctStep D. Solution is correctNote:
It could be more simplified by adding a step and multiplying both the numerator and denominator by √3: [tex]\frac{-\sqrt{2} }{\sqrt{3} } = - \frac{\sqrt{6}}{3}[/tex]JK is J(-3 9) and K(5 -1), if LM is perpendicular to JK, what is the slope of LM?
Answers
Answer: 4/5
Step-by-step explanation:
An SRS of 100 flights by Nite-flite Airlines showed that 64 were on time. An SRS of 100 flights by Waxwing Airlines showed that 80 were on time. Let pN be the proportion of on-time flights for all Niteflite Airline flights, and let pW be the proportion of all on-time flights for all Waxwing Airlines flights. Is there evidence of a difference in the on-time rate for the two airlines
Answers
Answer:
Step-by-step explanation:
pN = 64/100 = 0,64 = 64%
pW = 80/100 = 0,8 = 80%
The planes of Waxwing airlines are more punctual
1. All of the following are true except B. A. A random variable represents a numerical value assigned to an outcome of a probability experiment. In most applications, discrete random variables represent counted data. C. In most applications, continuous random variables represent measured data. D. The expected value of a discrete random variable is equal to the standard deviation of the random variable.
Answers
Answer:
The true statements are :
A. A random variable is a numerical description of the outcome of a statistical experiment.
B. In most applications, discrete random variables represent counted data.
C. In most applications, continuous random variables represent measured data.
Step-by-step explanation:
It is true statement that,
A. A random variable is a numerical description of the outcome of a statistical experiment.
B. In most applications, discrete random variables represent counted data.
C. In most applications, continuous random variables represent measured data.
The false statement is -
D. The expected value of a discrete random variable is equal to the standard deviation of the random variable.
Reason -
The mean value, or expected value, of a discrete random variable X is given by the following equation:
μ = E(x) = ∑ x p(x)
And
The variance of a discrete random variable is given by the following formula:
σ²=∑ (x−μ)² P(x)
And
The square root of the variance, or, in other words, the square root of σ², is the standard deviation of a discrete random variable :
σ = √σ²
Una escalera de 30 pies de longitud está apoyada contra una pared de modo que su extremo superior se desliza hacia abajo con una velocidad de 1/2 pies/seg ¿cuál es la tasa de variación de la medida del ángulo formado por la escalera y el piso cuando el extremo superior está a 18 pies del piso?
Answers
Answer:
dα /dt = - 0.028 rad /sec or dα /dt = - 1.59 °
El signo menos significa que el angulo va decresiendo
Step-by-step explanation:
La escalera, la pared vertical y el pié de la escalera y la pared forman un triangulo rectangulo. En ese triangulo
cos α ( α angulo que forma la escalera con el piso )
cos α = x / L
Tomando derivadas con respecto al tiempo (L es constante ) se tiene:
- sen α * dα / dt = dx/ dt / L
Cuando el extremo superior de la escalera está a 18 pies del piso, entonces sen α = 18 / 30 = 0.6
dx/dt = 1/2 pie/sec
dα/dt = - (1/2)/ L* 0.6
dα /dt = - 0.5 / 18
dα /dt = - 0.028 rad /sec or dα /dt = - 1.59 °
El signo menos significa que el angulo va decresiendo
Evaluate the algebraic expression h + h when b = 3, d = 12, h = 2 and r = 7.
A. 12
B. 8
C. 4
D. 0
Answers
Answer:
4
Step-by-step explanation:
h + h
h=2
2+2
4
What is the solution to the system of equations below?
2 x + y = 7 3 x + 2 y = 16
Answers
Answer:
2x+y=7; 3x+2y=16
X = -2
Y = 11
who smart enough to answer this?
Answers
√10^2-9^2
10 is the hypotenuse
subtract -2/15 from -3/5 and add the result to 5/6
Answers
Answer:
6/5
Step-by-step explanation:
-3/5-(-2/15)+5/6
-3/5+2/15+5/6
=-3+2×5/15 + 5/6. (taking lcm)
=-3+6/15+5/6
=3/15+5/6
=3+5×3/15 (taking lcm)
=18/15
=6/5
Answer:
Step-by-step explanation:
-3/5-(-2/15)+5/6
=-3/3+2/15(take lcm of 3 and 15)+5/6
=-3*3+2*1/15+5/6
=-9+2/15+5/6
=-7/15+5/6(take lcm of 15 and 6)
=-7*2+5*5/30
=-14+25/30
=11/30
=11/30
HELPPPPPPPPPPP MEEEEEE
Answers
Answer:
Answer is D
Step-by-step explanation:
In the question, "35 is what percent of 40?" what is the 35?
Answers
Answer:
35 is the 'is' and 40 is the 'of'
Step-by-step explanation:
is/of = %/100
35/40 = x/100
cross-multiply to get:
40x = 3500
x = 3500/40
x = 87.5
[tex]find \: the \: volume \: of \: cube \: \\ \\ side = 5m[/tex]
Answers
Volume of Cube = a³
side a = 5 Cm
Volume = 5³ = 125 Cm³
Answer:
125m³
Step-by-step explanation:
GIVEN :-
Length of a side of a cube = 5mTO FIND :-
Volume of cubeGENERAL FORMULAE TO BE USED IN THIS QUESTION :-
Volume of a cube = a³ (where a = length of each side of a cube)
SOLUTION :-
Volume of the cube = 5³ = 125 m³
Recursive formula for
-4,3,10,17
Answers
Answer:
Recursive:
Step-by-step explanation:
Common difference ( d ): 17 - 10 = 7
Recursive Arithmetic:
[tex]a_n = a_{n-1} + d[/tex]
[tex]a_n = a_{n-1} + 7[/tex]
[tex]a_1 = -4[/tex]
Hopefully this helped!
What is the circumference of this circle
R=2km
Answers
Answer:
12.57
Step-by-step explanation:
The formula is
2 (pie) r
2(pie)2
which would equal 12.57
In this diagram, radius AD = 5 mm, radius BD = 12 mm and chord
CD = 8 mm. Find the exact length of AB, in surd form.
Answers
Answer:
The exact length of AB is [tex]3 + 4\sqrt{10}[/tex] milimeters.
Step-by-step explanation:
Both triangles ACD and BCD are isosceles and triangles AEC, ADE, BDE and BCE are right-angled, where E is the point where line segments AB and CD meet each other. We can determine the exact length of AB by means of two horizontal right triangles (i.e. AEC, BCE) and the Pythagorean Theorem:
[tex]AB = \sqrt{AC^{2}-CE^{2}}+\sqrt{CB^{2}-CE^{2}}[/tex]
If we know that [tex]AD = AC[/tex], [tex]BC = BD[/tex], [tex]AC = 5\,mm[/tex], [tex]BC = 12\,mm[/tex] and [tex]CE = 4\,mm[/tex], then the exact length of AB is:
[tex]AB = \sqrt{(5\,mm)^{2}-(4\,mm)^{2}}+\sqrt{(12\,mm)^{2}-(4\,mm)^{2}}[/tex]
[tex]AB = 3 + 4\sqrt{10}\,[mm][/tex]
Drag the sliders.
Shape A
Shape B
Which slider creates scale copies of the shape?
Choose 1 answer:
Slider for Shape A
Slider for Shape B
Answers
-3•2•a+5(-7b)+(12•c•4)
Answers
-6a + -35b + 48c
f(x)=x². What is g(x)?
A. g(x) = 2x²
B. g(x) = (½x)²
C. g(x) = (4x)²
D. g(x) = (2x)²
Answers
Answer:
g(x) = (2x)²
Step-by-step explanation:
PLS HELP ASAP ITS DUE IN 2HR PLS
Answers
Answer:
From 10 a.m. to 2 p.m., the temperature at Sam's house increased by 8 degrees Fahrenheit.
Step-by-step explanation:
Write as a number equation ----> 2 - (-6) = 8
If the ray ML makes an angle measuring 2 radians with the ray MN, and the length of the arc intercepted by the angle is 72 inches, what is the radius of the window?
Answers
Answer:
36 inches
Step-by-step explanation:
From the diagram attached,
Applying
s = 2πr∅/360
Where s = lenght of the arc, r = radius of the window, ∅ = angle formed in degree, π = pie.
make r the subject of the equation
r = 360s/2π∅................... Equation 2
From the question,
Given: s = 72 inches, ∅ = 2 radians = 114.6°
Constant: 3.14
Substitute these values into equation 2
r = (360×72)/(114.6×3.14×2)
r = 25920/719.688
r = 36 inches
What number should be added to −5/11to get 26/33?
Answers
So answer is 41/33
what is 1/2 cups into pints
Answers
Answer:
0.25 pints
Step-by-step explanation:
Hehe, i used goo. gle
One leg of a right triangle is 24. What is the length of the other leg if the hypotenuse is 25?
Answers
Answer:
Hello! answer: 7
Step-by-step explanation:
24 × 24 = 576
7 × 7 = 49
576 + 49 = 625
√625 = 25
therefore the missing leg is 7
CORRECT TO ONE DECIMAL PLACE
[tex]2x(x - 3)[/tex]
Answers
Look at the picture
Answers
Its d because 16/12=1.33 same with 20/15 and 40/30 so its 24x1.33 which is 32 there for d is correct
hey! i’ll give brainliest please help
Answers
Answer:
c
Step-by-step explanation:
Answer:
D, a sentence that includes only one independent clause
Step-by-step explanation:
A compound-complex sentence has two independent clauses, and 1 or more dependent clauses. A compound sentence has two independent clauses, and is connected by a conjunction.
This isn't a math question but idrc
i need someone to help me with my math assignments
Answers
Answer:
okay depending on the question
Answer:
I can try
Step-by-step explanation:
Tyra, Ella, Tran and Ann share equally in the rental of a car. If the total cost of the rental is C dollers which expression represents Tyras share of cost
Answers
Answer:
C/4
Step-by-step explanation:
The amount divided by the amount of people will show how much each person owes
HELPPP ME PLEASE IT’S A VERY IMPORTANT TESTTTTT
Answers
Answer:
B also have a great day today
Answer:
D, Between 5.4 and 6.5
Step-by-step explanation:
anything less than .5 gets rounded down and anything higher gets rounded up so it'll end up with 6
30 POINTS I WILL GIVE U BRAINLIEST AND THANKS AND 5 STARS please help this is very important this is a big part of my grade
Answers
Answer:
[tex]1.\:2^x=64, x=\boxed{6},\\2.\:x=\left(\frac{2}{3}\right)^3,x=\boxed{\frac{8}{125}}\\3.\:3\cdot (3^4)=3^x, x=\boxed{5}\\4.\:\frac{16}{25}=x^2,x=\boxed{\frac{4}{5}},[/tex]
Step-by-step explanation:
[tex]1.\\\\2^x=64,\\\log 2^x=\log64,\\x\log 2=\log 64,\\x=\frac{\log 64}{\log 2}=\boxed{6}[/tex]
[tex]2.\\x=\left(\frac{2}{5}\right)^3=\frac{2^3}{5^3}=\boxed{\frac{8}{125}}[/tex]
3. This problem incorporates an exponent property.
Exponent property used: [tex]a^b\cdot a^c=a^{(b+c)}[/tex], yielding an answer of [tex]\boxed{5}[/tex]
[tex]4.\\\\\frac{16}{25}=x^2,\\x=\sqrt{\frac{16}{25}}=\frac{\sqrt{16}}{\sqrt{25}}=\boxed{\frac{4}{5}}[/tex]
Answer:
1. 6
2. 8/25
3. 5
4. 4/5
Step-by-step explanation: