For positive acute angles AA and B,B, it is known that \cos A=\frac{24}{25}cosA= 25 24 ​ and \sin B=\frac{11}{61}.SinB= 61 11 ​ . Find the value of \sin(A+B)sin(A+B) in simplest form.

Answers

Answer 1

Answer:

684/1525

Step-by-step explanation:

Given

cosA = 24/25

SinB = 11/61

Sin(A+B) = SinAcosB + CosAsinB

Get SinA

Since

Cos A = adj/hyp

adj = 24

hyp = 25

opp² = 25² - 24²

opp² = 625 - 576

opp² = 49

opp = √49

opp = 7

sinA = opp/hyp

sinA = 7/25

Also if SinB = 11/61

opposite = 11

Hypotenuse = 61

adj² = 61² - 11²

adj² = 3,721 - 121

adj² = 3600

adj = √3600

adj = 60

Cos B = adj/hyp

CosB = 60/61

Sin(A+B) = SinAcosB + CosAsinB

Sin(A+B) = 7/25(60/61) + 24/25(11/61)

Sin(A+B) = 420/1,525 + 264/1,525

Sin(A+B) = 684/1525


Related Questions

Help me out please????

Answers

Answer:

fromfromfromfromfromfromfromfromfromfromfromfromfromfromfromfromfrom

Step-by-step explanation:

Function f (x) = 25x/x + 3 has a discontinuity at x = –3. What are Limit of f (x) as x approaches negative 3 minus and Limit of f (x) as x approaches negative 3 plus?

Answers

Answer: C

Step-by-step explanation:

edge2021

The price of a dress was
reduced from $60 to $45.
By what percentage was
the price of the dress
reduced?

Answers

Answer:

25%

Step-by-step explanation:

$60 * .25 = $15

$60 - $15 = $45

What is the value of x?

Answers

Answer:

5 units (you are right!)

Step-by-step explanation:

The triangles ABD and BCD are similar.

Therefore,

[tex]\frac{x}{10}=\frac{10}{4x} \\4x^{2}=100\\x^{2}=25\\x=5[/tex]

I hope this helped!

HELP PLEASE! I NEED TO SUBMIT SOONN!!
I WILL GIVE ALOT OF BRAINLIST
2. For what value of x will the
rectangle at the right be a
square?

Answers

Answer:

x=1

Step-by-step explanation:

x+2=2x+1

x=1

sides of a square must be equal

Alejandro compra un terreno de 0,3 hm cuadrados y 0,9 dam al cuadrados ¿cuanto ha pagado por el terreno

Answers

Answer:

Si el metro cuadrado es a $ 50 Alejadro pagó por el terreno  $195 000

Step-by-step explanation:

Ya que no se especifica un valor por unidad de área podemos suponer por  ejemplo $ 50 / metro^2

Terreno:

0.3 hm^2

0.9 dam^2

1) Vamos convertir a la misma unidad de área las áreas del terreno para poder saber su costo.

-Hectómetro cuadrado

1 hm^2  = 10 000 m^2

Por lo tanto,

0.3 hm^2 * 10 000 m^2 /  1 hm^2 = 3000 m^2

-Decámetro cuadrado

1 dam^2  = 1 000 m^2

Por lo tanto,

0.9 dam^2 *  1 000 m^2 /1 dam^2  = 900  m^2

Así que el total del terreno es de 3900 m^2

2) Ahora podemos calcular el valor total del terreno

area* valor (por m^2)

3900  m^2  * $50/ m^2 =  $195 000

solve the equation d - 4= -12

d=16
d= - 16
d=8
d= - 8

Answers

-8 would be the correct answer!

Marla made $42 babysitting
for 5 hour's. How much money
did she make each hour?
A $8,40
B. 18.10
C. $1.90
D. $11.90
Help please

Answers

Answer: she made $8.40

Step-by-step explanation: divide 42 by 5 to get your answer

Answer:

A - $8.40

Step-by-step explanation:

You would have to do 45÷5

If a radius of a circle is 30 inches then it’s diameter is what? Please help ty!

Answers

Answer:

60 inches

Step-by-step explanation:

Radius is 1/2 of a diameter, so diameter is twice a radius. 30 x 2 = 60 inches

Hope that helps! :)

-Aphrodite

willl give brainlyist if quick its timedd

Answers

Answer: 0

Step-by-step explanation: The answer is 0

Answer:

y=0

Step-by-step explanation:

A radio station signal covers a circular area out from the signal tower. It gets weaker the farther away your are. The local station WDHS (at location (0,0)) sends it signal out with a coverage radius of 5 miles. 1) Will we hear it better at Zaxby's (2,-4), McDonalds (4, -4), or Dunkin' (-3,3). Show work to support your decision and explain your reasoning. 2) Are any of these location outside the range of the radio station? If so, which one(s). Defend your decision mathematically.

Answers

Answer:

1. We would hear better at Dunkin's since its distance from the radio station is the shortest.

2. McDonald's is out of range of the radio station since its distance is greater than the range of the radio station.

Step-by-step explanation:

1) Will we hear it better at Zaxby's (2,-4), McDonalds (4, -4), or Dunkin' (-3,3). Show work to support your decision and explain your reasoning.

We need to find the distance of each point from the tower.

The shorter the distance from the radio station the better the signal.

The distance between two points (x₁, y₁) and (x₂, y₂) is given by d = √[(x₂ - x₁)² + (y₂ - y₁)²].

With (x₁, y₁) = (0, 0) the location of local station WDHS

For Zaxby's distance located at (2, -4) = (x₂, y₂)

So, d₁ = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(2 - 0)² + (-4 - 0)²]

= √[(2)² + (-4)²]

= √[4 + 16]

= √20

= √(5 × 4)

= √5 × √4

= 2√5

= 4.47 miles

For McDonald's distance located at (4, -4) = (x₂, y₂)

So, d₂ = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(4 - 0)² + (-4 - 0)²]

= √[(4)² + (-4)²]

= √[16 + 16]

= √32

= √(16 × 2)

= √16 × √2

= 4√2

= 5.66 miles

For Dunkin's distance located at (-3, 3) = (x₂, y₂)

So, d₃ = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(-3 - 0)² + (-3 - 0)²]

= √[(-3)² + (-3)²]

= √[9 + 9]

= √18

= √(9 × 2)

= √9 × √2

= 3√2

= 4.24 miles

Since Dunkin's distance, d₃ = 4.24 is the least distance from the radio station and is within range of 5 miles, we would hear better at Dunkin's.

2) Are any of these location outside the range of the radio station? If so, which one(s). Defend your decision mathematically.

The radio station is outside of range if its distance is greater than 5 miles. That is, d > 5 miles.

So, we calculate the distance of each point from the radio station.

With (x₁, y₁) = (0, 0) the location of local station WDHS

For Zaxby's distance located at (2, -4) = (x₂, y₂)

So, d₁ = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(2 - 0)² + (-4 - 0)²]

= √[(2)² + (-4)²]

= √[4 + 16]

= √20

= √(5 × 4)

= √5 × √4

= 2√5

= 4.47 miles

For McDonald's distance located at (4, -4) = (x₂, y₂)

So, d₂ = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(4 - 0)² + (-4 - 0)²]

= √[(4)² + (-4)²]

= √[16 + 16]

= √32

= √(16 × 2)

= √16 × √2

= 4√2

= 5.66 miles

For Dunkin's distance located at (-3, 3) = (x₂, y₂)

So, d₃ = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(-3 - 0)² + (-3 - 0)²]

= √[(-3)² + (-3)²]

= √[9 + 9]

= √18

= √(9 × 2)

= √9 × √2

= 3√2

= 4.24 miles

So, for each of the distances calculated above, only McDonald's distance, d₂ = 5.66 miles > 5 miles.

So, McDonald's is out of range of the radio station.

In the figure below mPUR =77 and mST=74 Find mPR

Answers

Answer:

a)

The angle formed by intersecting chords is half of the sum of the intercepted arcs:

1/2(mST + mPR) = m∠PUR1.2(74° + mPR) = 77°74° + mPR = 2*77°mPR = 154° - 74°mPR = 80°

b)

The angle formed by two tangents is the half of the difference of the intercepted arcs:

m∠PSR = 1/2(mPTR - mPR)m∠PSR = 1/2(247° - (360° - 247°))m∠PSR = 247° - 180°m∠PSR = 67°

(9.1 × 109)(7.5 × 102)

Answers

Answer:

758803.5

Step-by-step explanation:

that's what i got- no idea if it's right though-

The first one is 1,631.9 the second is 765.0

help please! quadratic equation and stretch factor

Answers

Answer:

Equation: f(x)=x²-4x+3

Stretch factor: a=1

Step-by-step explanation:

Notice the x-intercepts are (1,0) and (3,0) which can help us determine the equation by setting their expressions equal to 0 and expanding:

(x-1)(x-3)=0

x²-4x+3=0

Therefore, the equation is f(x)=x²-4x+3 where the stretch factor is a=1

if bob is 4 years older than twice his neighbor's age, and the sum of their ages is 67, what is bob's age ?

Answers

Answer:

bob would be 46

Step-by-step explanation:

take 67 subtract 4 to get 63 and divide it by 3 to get 3 groups of 21

add 21 and 21 to get 42+4=46

A LITTLE HELP PLEASEEE!!

Answers

Answer:

i think it’s the 5th one

Step-by-step explanation:

Can you help me find the B plzzz

Answers

Answer:

B=80

Step-by-step explanation:

B is the same answer as the number on the other side

Answer: B= 80

B is the same answer as the other number

Solve for x : (X+4) (x-3) =0

Answers

Answer:

x=-4,3

Step-by-step explanation:

x+4=0

x=-4

x-3=0

x=3

Which number line represents the solution to 5x < 30? F # 10 0 2 4 6 8 + 0 2 4 6 8 10 H +00 0 4 6 10 N J o 2 4 6 8 10​

Answers

Answer:G i think sorry if wrong

Step-by-step explanation:

Answer:G

Step-by-step explanation:

Find the measure of angle x. 217 ° х 103 160 O 320 57 O 114​

Answers

Answer: 145

Step-by-step explanation:

check

Answer this please 7= - w/8

Answers

Answer:

[tex]w = - 56[/tex]

Step-by-step explanation:

[tex]7 = \frac{ - w}{8} [/tex][tex] \frac{ -w }{8} = 7[/tex][tex] - 8 \times \frac{ - w}{8} = - 8 \times 7[/tex]

[tex] - 1 \times ( - w) = - 8 \times 7[/tex]

[tex]1 \times w = - 8 \times 7[/tex]

[tex]w = - 8 \times 7[/tex]

[tex]w = - 56[/tex]

Hope it is helpful....

21. identify the secant that intersects OA.

Answers

Answer: Line BC

=============================================================

Explanation:

A secant line cuts the circle so that part of the line is inside the circle, and the rest (or majority) of the line is outside the circle. In other words, the secant line intersects the circle at exactly two points.

This is in contrast to a tangent line that only touches the circle at exactly one point. Line L is the tangent line in this case.

Segment DC is a diameter of the circle as it goes through the center, and this segments endpoints are on the circle's edge. The segments AD and AC are radii of the circle.

Answer:

Line BC

Step-by-step explanation:

Find the area of the circle. Round you answer to the nearest hundredth.

Answers

Answer: well first you need to send the picture

Step-by-step explanation:

1. Take the picture

2. Post it to brainly

3. Get your answer

How many lies of symmetry does this figure have ?

Answers

Answer:

B.

Step-by-step explanation:

You can draw draw ten lines through this figure to get symmetry either side.

PLEASE HELP ASAP ill give brainliest answer

Answers

Answer:

62.1=3 sig fig

185.3=4 sig fig

1,760= 3 sig fig

0.06= 1 sig fig

I don't know if that's all the questions you have or you didn't get the last one In the pic

solve for y. -5(6+7y)= -5(6+y)​

Answers

Simplify to -30-35y=-30-5y
Move all ys to the right and move constants left, -30y= 0
Divide by -30
y=0

Answer:

y = 0

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−5(6+7y)=−5(6+y)

(−5) (6) + (−5) (7y) = (−5) (6) + (−5) (y) (Distribute)

−30 + − 35y = −30 + −5y

−35y − 30 = −5y −30

Step 2: Add 5y to both sides.

−35y − 30 + 5y = −5y −30 + 5y

−30y −30 = −30

Step 3: Add 30 to both sides.

−30y − 30 + 30 = −30 + 30

−30y = 0

Step 4: Divide both sides by -30.

−30y /−30  =  0 /−30

PLZ PLZ PLZ HELP ME PLSSSSS

Answers

Answer:

x = 70

Step-by-step explanation:

Answer:

Step-by-step explanation:

b/c we know that the inside angles of a triangle add to 180

180 = 38 + x + x + 2

180 = 40 + 2x

140 = 2x

70 = x

WILL MARK BRAINLIEST HELP ASAP ASAP

Answers

Answer:

B

Step-by-step explanation:

I got this answer correct on a test

Can anyone please help me I’ll give you brain list

Answers

Answer:

3a. yes

3b. y= 75x

3c. 600 mi

3d. 10 inches

Step-by-step explanation:

3a: if you divide the y by the x, you'd get 75 everytime, meaning it's proportional.

3b: y would equal the amount of inches multiplied by 75, so y=75x

3c: you can use the equation and substitute the x for 8, so y=75(8), giving you 600 miles

3d: you can also use the equation in reverse, if the actual miles is 750, then this is your y, so it would look like 750=75x and to solve you'd divide, 750/75, giving you 10 inches

hii! help asap. i’ll give brainliest thanks!

Answers

Answer:

A

Step-by-step explanation:

Every object in a state of uniform motion will remain in that state of motion unless an external force acts on it.

Force equals mass times acceleration [ ].

For every action there is an equal and opposite reaction.

Other Questions
through: (2,-2) slope = -2y=mx+b-2=-2(2)+b what ur answer Sam is going to put wooden baseboard around a rectangular bedroom.The length of the bedroom is 26 feet. The width is 1/2 of the length.How many feet of baseboard does Sam need? "People should not be afraid of their governments.Governments should be afraid of their people." [V]DO YOU AGREE????YES OR NO 1. What is going on in this picture2. What do you see that makes you say that What was a major reason Constantinople fell to the Ottoman Turks in 1453?A. The city was weak after many years of constant attack. B. The city was betrayed after the army changed sides. C. The city was betrayed after its ruler accepted a bribe. D. The city was weak after suffering an outbreak of plague. lilli / Toga35 . . . u there????? 2. Do you think Penelope will welcome Odysseus instantly once he has slain the suitors 2. 2 1 1 35' 4210IArrange the fractions in ascending order.D a) 1 1 2 32' 4' 5' 10O c 1 3 2 2 1 4' 10' 5' 2b) 3 2 1 110' 54'2Id) 1 2 1 32' 5' 4' 10 Blues Inc. manufactures jeans in the cutting and sewing process. Jeans are manufactured in 40-jean batch sizes. The cutting time is 5 minutes per jean. The sewing time is 20 minutes per jean. It takes 2 minutes to move a batch of jeans from cutting to sewing. a. Compute the value-added, non-value-added, and total lead time of this process. Value-added lead time minutes Non-value-added lead time minutes Total lead time minutes b. Compute the value-added ratio. Round to one decimal place. % -2/7 + 1/3 , what would this be? how the West Africans used it to maintain their empires. Analyze how the work of the United Nations has expanded beyond its original goals. You're provided a 0.50 M solution of HCl. How many moles of HCl are present in 25 ml of this solution? Which option can be associated with an application of peacemaking criminology called humanistic action?A. violenceB. imprisonmentC. counselingD. torture Please helppppppppppp Can someone please help me!! Ive been asking for help and I not getting any.. please help A +6.33 uC charge q1 is attracted by a force of 0.115 N to a second charge q2 that is 1.44 m away. What is the value of q2? Why do different parts of the world have such different animals? Read the sentence I took many photographs of the island's native flora and fauna. What answer uses the word native in the same way as it is used in the sentence? O A A native of Boston, Cassie had been told her whole life that she had a strong accent. B. Native fish are often more capable of surviving the alternating temperatures than species that were introduced to the northeast later in life. C Christopher Columbus referred to them as natives, even though he did not know he was in America OD She was a native speaker of French, which was helpful when she visited Normandy last summer. of 4 Answered Type here to search JUC o Please help me last time I asked 2 days ago! No one answered. :(