Answers
OA, OB, and OC are all radii of the circle so they have the same length, 12 in. ∆ AOB is therefore isosceles, so the angles at the vertices A and B are congruent. The interior angles of any triangle sum to 180° in measure, so
30° + 2 m∠A = 180° ⇒ m∠A = 75°
Draw an altitude in ∆ AOB that connects the vertex O to the midpoint of AB; this is the height h of ∆ AOB and bisects ∆ AOB into two 15°-75°-90° right triangles. Solve for h and the length of the base AB using trigonometry:
sin(15°) = (AB/2) / (12 in) ⇒ AB = (24 in) sin(15°) ≈ 6.212 in
sin(75°) = h / (12 in) ⇒ h = (12 in) sin(75°) ≈ 11.591 in
Then the area of ∆ AOB is
1/2 (AB) h = (144 in²) sin(15°) sin(75°)
= (72 in²) (cos(60°) - cos(90°))
= 36 in²
where we use the identity
sin(x) sin(y) = 1/2 (cos(x - y) - cos(x + y))
Let m∠BOC = θ. Then
(area of sector BOC) / θ = (area of ⊙O) / 360°
Solve for θ :
θ = (area of sector BOC) / (area of ⊙O) • 360°
θ = (36 in²) / (π (12 in)²) • 360°
θ = (90/π)° ≈ 28.648°
Related Questions
Zack sold 3 of his old hockey sticks at Refreeze Secondhand Sports Shop. Before he left, he spent $25 of his earnings on a used pair of hockey gloves. He had $71 remaining. How much did Zack receive for each hockey stick?
Answers
Answer:
Zack received $32 for each hockey stick
Step-by-step explanation:
how I did it:
$71+$25=96
now you divide 96 by 3
3 2
3 9 6
− 9
0 6
− 6
0
96 divided by 3 is equal to $32.
Hence, Zack received $32 for each hockey stick.
Many bird species populate a forest. Researchers
conducting a study need to estimate the number of each
species that live in the forest. in They divide the forest into
equal sections and then record the species of the first 25
birds they see in each section.
What is the population in this study?
O A. The
first 25 birds in each section of the forest
O B. The species with the greatest number
• C. All the birds in the forest
• D. The species that are native to the area that contains the forest
Please help first to answer and is correct I will give brainlist please hurry!!!
Answers
The population in the study are the species that are all the birds in the forest.
What is population in research?The term population in reasearch refers to the entire participants in a study. Sometimes a fraction of these partcipants are selected in such a way that the entire population is depicted. This is called sampling.
In this case, the population in the study are the species that are all the birds in the forest.
Learn more about sampling: https://brainly.com/question/11045407
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Answer:
O A. The first 25 birds in each section of the forest
Step-by-step explanation:
Test approved
An above ground pool is shaped like a cylinder. It is 5.5 feet tall and has a diameter of 20 feet. If the pool is filled to 5 feet, what is the volume of the water? If the pool is filled to the top, what is the volume of the water?
Answers
First, we must know the formula for solving the volume of a cylinder, which is [tex]V = \pi r^2 h[/tex]. Since the water is only being filled to 5 feet, we do not care about the 0.5 feet of the height.
Using the formula, we need to plug-in the numbers for the radius (20 divided by 2 is 10) and height. Doing this, the equation should now look like this: [tex]V = 3.14 * 10^2 * 5[/tex]. When solving, the volume of the water is 1570 feet cubed.
Answer:
1570.796 feet cubed
Step-by-step explanation:
First you find the surface area of the base of the cylinder which should look like this:
(10^2)(π)
Next you multiply that by the height (5 feet) because 3d shapes are bases stacked on each other which should look like this:
314.1592654(5)
After that arithmetic you will get 1570.796 or 1570.8 rounded as your answer!
Which two sets of angles are corresponding angles?
∠a and ∠d; ∠b and ∠c
∠a and ∠e; ∠b and ∠d
∠a and ∠c; ∠b and ∠d
∠a and ∠e; ∠b and ∠c
Answers
Answer:
∠a and ∠d; ∠b and ∠c
Step-by-step explanation:
The two triangles as similar triangles and the scale factor is 2 : 1
The sides measuring 6 and 3 are corresponding sides
The sides measeuring 8 and 4 are ocrreposnding sides
⇒ ∠a and ∠d are corresponding angles
The sides measuring 8 and 4 are corresponding sides
The sides measeuring 4 and 2 are ocrreposnding sides
⇒ ∠b and ∠c are corresponding angles
1 point
2. Write the equation of a line through the point (4, 6) that
is perpendicular to the line 2x - y = 15.
Enter the equation in slope-intercept form. Use fractions if necessary. NO SPACES.
Answers
Answer: 2x-y=15
Step-by-step explanation: can u be more detailin
Need help with this quickly . Will give brainliest.
Answers
Answer:
A
Step-by-step explanation:
(Not sure if this is completely right but this should be it)
Solve the inequality x − y < z for x
Answers
Answer:
Resolver para x
⎩
⎪
⎨
⎪
⎧
x<
1−z
y
,
x∈R,
x>
1−z
y
,
z<1
y>0 and z=1
z>1
Step-by-step explanation:
The solution of the inequality x − y < z is x < z + y.
What is an inequality?In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.
Given:
An inequality,
x − y < z.
To solve for x:
Add y to both sides,
x < z + y
Therefore, the solution is x < z + y.
To learn more about the inequality;
brainly.com/question/28823603
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Make x the
Subject
4(x +t) = M
Answers
Answer:
x = (M-4t)/4
Step-by-step explanation:
First we expand the brackets:
4(x+t) =M
4x +4t = M
Subtract 4t from both sides:
4x +4t -4t = M -4t
Simplify:
4x = M -4t
Divide both sides by 4 :
4x÷4 = (M-4t)/4 = (M-4t)÷4
x = (M-4t)/4
Hope this helped and brainliest please.
Help!?!? Find the area of the shaded region. Round your answer to the nearest hundredth.
Answers
Check the picture below.
so if y = 2, then 2y = 4, thus
[tex]\textit{area of a segment of a circle}\\\\A=\cfrac{r^2}{2}\left(\cfrac{\pi \theta }{180}~~ - ~~sin(\theta ) \right)~~\begin{cases}r=radius\\\theta =\stackrel{degrees}{angle}\\[-0.5em]\hrulefill\\r=4\\\theta =60\end{cases}\\\\\\A=\cfrac{4^2}{2}\left(\cfrac{\pi (60) }{180}~~ - ~~sin(60^o ) \right)\implies A=8\left( \cfrac{\pi }{3}~~ - ~~\cfrac{\sqrt{3}}{2} \right)\\\\\\A=\cfrac{8\pi }{3}~~ - ~~4\sqrt{3}\implies A\approx 1.45[/tex]
Consider two events, P and Q. The probability of event P occurring is 16. The probability of event Q occurring is 23. Which statement is true?
Answers
The event "P and Q" is a compound event in the probability, and the true statement about the probability is P(P and Q) = 1/9
How to determine the true statement?The probabilities are given as:
P(P) = 1/6
P(Q) = 2/3
The probability of the event P and Q is calculated using:
P(P and Q) = P(P) * P(Q)
This gives
P(P and Q) = 1/6 * 2/3
Evaluate the product
P(P and Q) = 1/9
Hence, the true statement about the probability is P(P and Q) = 1/9
Read more about probability at:
https://brainly.com/question/251701
-6x+71= -4x-1 procedimiento
Answers
Answer:
[tex]-6x+71= -4x-1[/tex]
[tex]-6x+71-71=-4x-1-71[/tex]
[tex]-6x=-4x-72[/tex]
[tex]-6x+4x=-4x-72+4x[/tex]
[tex]-2x=-72[/tex]
[tex]\cfrac{-2x}{-2}=\cfrac{-72}{-2}[/tex]
[tex]x=36[/tex]
Hope it helps u!! ^-^
Hey ! Buddy .
As the question is in Spanish . So we have provided your answer in English as well as in Spanish language .
( ¡Oye! Amigo, la pregunta es en español. Así que hemos proporcionado su respuesta tanto en inglés como en español. )
Answer:
Value of x is 36 (El valor de x es 36)Step-by-step explanation:
In this question we have given with an equation that is -6x + 71 = -4x - 1 . And have to find the value of x .
( En esta pregunta hemos dado con una ecuación que es -6x + 71 = -4x - 1 . y hay que encontrar el valor de x )
Solution : -
( Soluciones : - )
[tex] \quad : \implies - 6x + 71 = - 4 - 1[/tex]
Step 1 : Subtracting 71 on both sides :
( Paso 1 : Restando 71 en ambos lados: )
[tex]\quad : \implies - 6x + \cancel{71} - \cancel{71} = - 4x - 1 - 71[/tex]
On calculating further, We get :
( Al calcular más, obtenemos : )
[tex]\quad : \implies - 6x = - 4x - 72[/tex]
Step 2 : Adding 4x on both sides :
( Paso 2 : Sumando 4x en ambos lados: )
[tex]\quad : \implies - 6x + 4x = - \cancel{4x} + \cancel{4x } - 72[/tex]
On calculating further, We get :
( Al calcular más, obtenemos : )
[tex]\quad : \implies \cancel{-} 2x = \cancel{-}72[/tex]
Step 3 : Dividing by 2 on both sides :
( Paso 3 : Dividiendo por 2 en ambos lados: )
[tex]\quad : \implies \frac{ \cancel{2}x}{ \cancel{2} } = \cancel{\frac{72}{2} }[/tex]
On calculating further , We get :
( Al calcular más, obtenemos : )
[tex]\quad : \implies \: \green{ \boxed{ \frak{x = 36}}}[/tex]
Therefore , value of x is 36 . ( Por lo tanto , el valor de x es 36 . )Verifying : -
( Comprobación :- )
We are verifying our answer by substituting value of x in given equation. So ,
( Estamos verificando nuestra respuesta al sustituir el valor de x en la ecuacióndada. Asi que, )
-6x + 71 = -4x - 1 -6 ( 36 ) + 71 = -4 ( 36 ) - 1-216 + 71 = -144 - 1-145 = -145L.H.S = R.H.S (Lado izquierdo = Lado derecho )Hence, Verified. ( Por lo tanto, Verificado. )Therefore, our solution is correct.
( Por lo tanto, nuestra solución es correcta. )
#Keep LearningThe average height of Hillsdale College's student body is 64.8 inches. If the 600 women at the college average 64 inches, what is the average height of the 400 men at the college? Show work.
Answers
Answer:
dont know bro
Step-by-step explanation:
3w+1≥19 Solve the inequality
Answers
Step-by-step explanation:
group like terms
[tex]3w \geqslant 19 - 1[/tex]
solve
[tex]3w \geqslant 18[/tex]
divide the number with the variable by both sides
[tex] \frac{3w}{3} \geqslant \frac{18}{3} [/tex]
solve
[tex]w \geqslant 6[/tex]
Answer:
w ≥ 6
Step-by-step explanation:
Given:
3w+1≥19
Solve:
3w+1≥19
Subtract 1 from both sides
3w+1≥19
-1 -1
-----------------
3w≥18
Divide both sides by 3
3w/3 ≥18/3
w ≥ 6
Hence, the answer is:
w ≥ 6
Kavinsky
Answer number 2 please
Answers
Swing decimal by 2 places.
Answer a
Factor the expression x2 - 36.
Answers
Answer:
x = -6 or 6
Step-by-step explanation:
=> x² - 36
=> x² - 6²
=>(x + 6 ) (x - 6)
=> x = -6 or x = 6
[tex]x^2-36\\\\=x^2-6^2\\\\=(x+6)(x-6)[/tex]
A number exceeds 47,56,908 by 16,34,096 .Find the number
Answers
Answer:
6391004
Step-by-step explanation:
hope this helps
Answer:
6391004
Step-by-step explanation:
The question is basically saying that a number is more than 47,56,908 by 16,34,096.
So that number will be 4756908+1634096 =
6391004
Therefore that number is 6391004
Combine these radicals.
-V5 -3v5
Answers
[tex]-\sqrt 5 -3\sqrt 5\\\\\\=(-1-3)\sqrt 5\\\\\\=-4\sqrt 5[/tex]
Answer:
b
Step-by-step explanation:
Use a net to find the surface area of the cylinder. Use 3.14 for pi.
The surface area of the cylinder is about cm^2
(Round to the nearest tenth as needed.)
Answers
Twelve hungry teenagers can devour a very large pizza in $20$ minutes. How many teenagers would it take to finish a very large pizza in $15$ minutes
Answers
Answer:
9 teenagers
Step-by-step explanation:
12/20 = x/15
180/20 = x
9 = x
-----------------------
9 teenagers would take to finish the large pizza in 15 mins
please help me
Question
A coin is flipped three times, and the following list shows the possible outcomes.
HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
How many outcomes include exactly one head?
Enter your answer as a number, like this: 42
Answers
Answer:
1/8 is the probability to have exactly one head
Pls help me solve the equation. Show steps.
Answers
Pasos
5
3
k+
10
7
=
15
11
k−
5
2
Resta
15
11
k en los dos lados.
5
3
k+
10
7
−
15
11
k=−
5
2
Combina
5
3
k y −
15
11
k para obtener −
15
2
k.
−
15
2
k+
10
7
=−
5
2
Resta
10
7
en los dos lados.
−
15
2
k=−
5
2
−
10
7
El mínimo común múltiplo de 5 y 10 es 10. Convertir −
5
2
y
10
7
a fracciones con denominador 10.
−
15
2
k=−
10
4
−
10
7
Como −
10
4
y
10
7
tienen el mismo denominador, reste sus numeradores para restarlos.
−
15
2
k=
10
−4−7
Resta 7 de −4 para obtener −11.
−
15
2
k=−
10
11
Multiplica los dos lados por −
2
15
, el recíproco de −
15
2
.
k=−
10
11
(−
2
15
)
Multiplica −
10
11
por −
2
15
(para hacerlo, multiplica el numerador por el numerador y el denominador por el denominador).
k=
10×2
−11(−15)
Realiza las multiplicaciones en la fracción
10×2
−11(−15)
.
k=
20
165
Reduzca la fracción
20
165
a su mínima expresión extrayendo y anulando 5.
k=
4
33
Answer:
33/4
Step-by-step explanation:
3k/5 +7/10 = 11k/15 - 2/5
11k/15 - 3k/5 = 7/10 +2/5
11k/15 - 9k/15 = 7/10 + 4/10
2k/15 = 11/10
2k = 165/10
2k = 33/2
k = 33/4
what is 2+2 divided by 50
Answers
Answer: 2.04
Step-by-step explanation:
2+2=4
4/50 = 2.04
Find decimal form root23 and root24
Answers
Answer:
Below.
Step-by-step explanation:
√23 = 4.796
√24 = 4.899.
- both correct to the nearest thousandth,
I need help pleaseeeee
Answers
[tex] \qquad\qquad\huge\underline{{\sf Answer}}{} [/tex]
Surface area of a cube is :
[tex]\qquad \tt \dashrightarrow \:6 {a}^{2} [/tex]
where, a represents side length of each edge.
[tex]\qquad \tt \dashrightarrow \:a = 6(6.4) {}^{2} [/tex]
[tex]\qquad \tt \dashrightarrow \:a = 6(40.96)[/tex]
[tex]\qquad \tt \dashrightarrow \:a = 245.76 \: \: unit {}^{2} [/tex]
it can be taken as an approximate of :
[tex]\qquad \tt \dashrightarrow \:a \approx245.8 \: \: unit {}^{2} [/tex]
Answer:
The answer is D. 245.8 unit^2
help please!!!! it makes so sense
Answers
Answer:
(- [tex]\frac{1}{5}[/tex] , 0 )
Step-by-step explanation:
to find where the line crosses the x- axis, let y = 0 in the equation and solve for x
5x - 2(0) + 1 = 0
5x - 0 + 1 = 0
5x + 1 = 0 ( subtract 1 from both sides )
5x = - 1 ( divide both sides by 5 )
x = - [tex]\frac{1}{5}[/tex]
the line crosses the x- axis at (- [tex]\frac{1}{5}[/tex], 0 ) or ( - 0.2, 0 )
Answer:
(-1/5, 0).
Step-by-step explanation:
Where the line crosses the axis the value of y = 0.
5x - 2y + 1 = 0
Let y = 0, then:
5x - 2(0) + 1 = 0
5x + 1 = 0
5x = -1
x = -1/5.
So the point is (-1/5, 0).
Answer number 1 please thank you
Answers
Help me please I need to get my grade up
Answers
Answer:
Um I can only see a graph
Step-by-step explanation:
How many times does the graph cross the x-axis for this equation y = -2x2 + 4x -
5? *
Answers
A quadratic equation is in the form of ax²+bx+c. The graph of the equation y = -2x² + 4x -5 will not intersect the x-axis at any point.
What is a quadratic equation?A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.
The given equation is a quadratic equaion, therefore, to know if the equation will intersect with the x-axis we need to find the roots of the equation.
Since the value of the discriminant is negative for this equation, the roots of the equation will be imaginary. Plotting the graph, we will observe that the graph will not intersect the x-axis at any point.
Hence, the graph of the equation y = -2x² + 4x -5 will not intersect the x-axis at any point.
Learn more about Quadratic Equations:
https://brainly.com/question/2263981
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Convert 67,000 pounds to tons. choose the words and numbers to complete the statements. a pound is choose... than a ton, so choose... the number of pounds by choose... to find the number of tons. therefore, 67,000 pounds is choose... tons.
Answers
Answer:
See below
Step-by-step explanation:
A POUND IS 1/2000 of a ton so multiply the number of pounds by 1/2000 to find the number of tons therefore 67 000 pounds is 33.5 tons
Answer:
A pound is (larger) than a ton, so (multiply) the number of pounds by (1000) to find the number of tons. Therefore, 67,000 pounds is (33.5) tons.
Step-by-step explanation:
when you see ( ) it means it's the answer
(help very much needed asap)