If AC = 9 cm and tan ABC = 0.75, what is the length of BC?

If AC = 9 Cm And Tan ABC = 0.75, What Is The Length Of BC?

Answers

Answer 1

Answer:

12 cm confirm ...................

Answer 2

From the concept of trigonometric ratios, we determine the length of the side  BC is 6.75 cm.

What are trigonometric ratios in terms of a right-angle triangle?

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

Given, The length of the side AC = 9cm.

The measure of tan∠ABC = 0.75.

We know tan = opposite/adjacent.

Here, the opposite is AC and adjacent is BC.

Therefore, 0.75 = 9/BC.

BC = 9×0.75.

BC = 6.75.

learn more about trig ratios here :

https://brainly.com/question/14977354

#SPJ2


Related Questions

find the value of x in the triangle shown below

Answers

Using the Pythagorean Theorem where:
a^2 + b^2 = c^2

So,

9^2 + 3^2 = 90

Sqrt 90 = 9.48

x = 9.48

● The short and long hands of a clock are 4 cm and 6 cm long respectively. Find the sum of distance travelled by their tips in 2 days.

Class - 10th


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Juniors stay away ~

Step by step explanation please ​

Answers

Step-by-step explanation:

short hand radius = 4

distance travellled in 1 day revolution = 2πr= 2 x 22/7 x 4= 25.1cm (approx)

distance travellled in 2 day revolution= 25.1+ 25.1 = 50.2

long hand radius= 6

each hour 1 revolution by long hand so in 24 hr 24 revolutions and 48 he 48 revolution

distance travelled in 1 hr = 2πr= 2 x 22/7 x 6= 37.7

distance in 48hr = 37.7 x 48= 1809.6 (approx)

so sum of both= 1809.6 + 50.2 = 1859.8

Answer:

1910.12 cm

Step-by-step explanation:

2 days = 48 hrs = 2880 mins

One cycle of the short hand (4 cm) would be 12 hrs.

48/12 = 4 cycles

Circumference of a circle =  [tex]2\pi r[/tex]

r = 4 cm

2*pi*4 ≈ 25.13 cm (I only rounded to the hundredth, adjust as u need)

25.13 * 4 = 100.52 cm

One cycle of the long hand (6 cm) would be 60 mins (which is 1hr and two days would be 48hrs or 48 cycles. But let's keep this consistent).

2880/60 = 48 cycles

Circumference of a circle =  [tex]2\pi r[/tex]

r = 6 cm

2*pi*6 ≈ 37.70 cm (I only rounded to the hundredth, adjust as u need)

37.70 * 48 = 1809.6

100.52 + 1809.6 = 1910.12 cm

^^ I'm not a junior I'm a senior so lol

find the value of sec ø if cos ø=2/19;0°<ø<90°

Answers

Answer:

[tex] \sec( \alpha ) = \frac{1}{ \cos( \alpha ) } \\ \sec( \alpha ) = \frac{19}{2} [/tex]

Please help have only an hour please use picture

Answers

Answer:

The answer is C. n = 3

Step-by-step explanation:

I got this answer by using the butterfly method. I multiplied 3 and 2 and got 6. Then take 6 and divide it by 2 and you get 3.

So therefore, n = 3

Please mark brainliest if this helped.

Answer: C n=3

Step-by-step explanation:

First croas multiply the 2 and 3 to get one side

then you multiply 2n and move it to the other side so it can equal

2n=6  

2n/2=6/2

n=3

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Answers

Answer:

B

Step-by-step explanation:

Answer:

Thats a tuff 1 A estimate of B

Step-by-step explanation:

which expression is equivalent to the expression shown?

Answers

Answer:

the answer is 7^12

Step-by-step explanation:

7^14 ÷ 7^2

14 - 2

12

Joan paid $47.98 for a jacket. If the tax rate is 8.25%, what was the cost of the jacket before tax?

Answers

Answer:

$44.021

Step-by-step explanation:

$47.98 - 8.25% = $44.021

∠A=5x−18 ∘ start color #11accd, angle, A, equals, 5, x, minus, 18, degrees, end color #11accd \qquad \green{\angle B=3x + 42^\circ}∠B=3x+42 ∘ start color #28ae7b, angle, B, equals, 3, x, plus, 42, degrees, end color #28ae7b Solve for xxx and then find the measure of \blueD{\angle A}∠Astart color #11accd, angle, A, end color #11accd:

Answers

Answer:

A = 132 degrees

Step-by-step explanation:

Look at attachment:

Hope this helps! :)

Answer:

132

Step-by-step explanation:

bc khan

Every day, the Clark Pet Store uses 1 1/2 bags of dog food to feed the dogs. How many days will 7 1/2 bags of dog food last?

Write your answer as a fraction or as a whole or mixed number.

Answers

Answer:

5 days

Step-by-step explanation:

1.5/5=7.5

Hope this helps!

When filled, a balloon in the shape of a sphere has a diameter of 14 inches. What is the approximate volume of air, in cubic inches, needed to fill this balloon?

1,078
1,437
8,621
11,494 ​

Answers

Answer:

1,437

Step-by-step explanation:

Answer:

a I'm not as smart so trust me

Step-by-step explanation:

Ms. Sanchez has $200 to spend on parking and admission to a museum. The parking will cost $10 and admission tickets cost $15.50 per person, including tax. Write and solve an equation that can be used to determine the number of people that she can bring to the museum, including herself.

Answers

Answer:

12 people including herself

Step-by-step explanation:

x = number of people

($200 - $10)/$15.50 = x

x = 12.26

One mile is approximately 1.6 kilometers. A speed limit sign in Europe reading 65 kph
(kilometers per hour) means you can go about how many miles per hour (mph)*

Answers

Answer: 40

Step-by-step explanation: 65/1.6= around 40

65/1.6 is 40 so 40 is how much you can go per hour

I need help proving the y-intercept is 5 but I can't figure it out and will give brainliest if you can show the steps how you got the answer!!!!!!!the coordines are (9,5)
And can you help with what I did wrong here

Answers

So, honestly if its allowed you can just graph the equation ti prove the y intercept is five

Hello, please help me with this math problem!

What is the function rule to describe this sequence:

27, 9, 3, 1, ....

Answers

Answer: Substitute in the values of a1=27 a 1 = 27 and r=13 r = 1 3 .

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

i did the math

g2 + 23 when g = 6??? help

Answers

12+23 then 35 is the answer

What are the steps you would take to find the area of the shaded region? Check all that apply.

Answers

Answer:

THE ANSWER IS INCOMPLETE SO IM GOING TO REPORT:/

Step-by-step explanation:

write the expression in standard form
2x-(5+4x)

Answers

Answer:

- 2x - 5

Step-by-step explanation:

2x - (5 + 4x)

2x - 5 - 4x

- 2x - 5

Answer: The answer is -2x - 5

Step-by-step explanation:

HELP ME PLS! Customers at the gym pay a membership fee to join and then a fee for each class they attend. Here is a graph that represents the situation

Answers

Answer:

the slope should represent the fee of each class

.

the vertical intercept is the membership fee

Answer:

the y-inyetcept means the starting fee to join

and the slope means fee per class paid by the customers.

Step-by-step explanation:

Please help! This is past due and i need it in in like 30 minutes. Ill be posting more questions soon so stay here.

Answers

Answer:

384 square inches

Step-by-step explanation:

The side is 10×5=50

There are 4 sides of equal surface area so we are at 200

The floor is 8×10=80 so we are at 280

The front is 8×5=40 and the back is the same so add another 40 so we are at 360

Add the little triangles which are 4×3=12 and you add the back as well so we get 384 square inches

Given that -5 < -3, which statement is not true?

-5 is to the left of -3 on the number line.
-3 is to the right of -5 on the number line.
-3 > -5
-3 is less than -5,

Answers

Answer:

-3 is less than -5

Step-by-step explanation:

the bigger the negative number is, the less it has a great amount of value.

-3>-5 is correct because -3 is greater than -5

-5 is to the left of -3 on the number line is true

-3 is to the right of -5 on the number line is true as well

hope this helps! : )

It’s -3 is to the right of -5

En Cartagena de cada 10 personas 4 tienen una enfermedad, a este ritmo ¿cuántas personas se contagiarán si son 400 personas?

porfa para ya

ayudaaaaaaa

Answers

Answer:

Se contagiarian 160 personas.

Step-by-step explanation:

Para este problema debenos usar la siguiente regla de tres:

[tex]\frac{10(personas)}{4(enfermas)}=\frac{400(personas)}{x(enfermas)}[/tex]

Ahora, debemos despejar x de la ecuacion de arriba.

[tex]x=\frac{400(personas)*4(enfermas)}{10(personas)}[/tex]

[tex]x=160(enfermas)[/tex]

Por lo tanto, se contagiarian 160 personas.

Espero te haya sido de ayuda!

Which is a solution of 2x(8x + 5) (7x – 13) = 0?

Answers

Answer:

Step-by-step explanation:

This has 3 solutions

2x = 0                          Divide by 2

x = 0

8x + 5 = 0                   Subtract 5 from both sides

8x = - 5                       Divide by 8

x = - 5/8

x = -0.625

7x - 13 = 0                   Add 13 to both sides

7x = 13                         Divide by 7

x = 13/7

x = 1.86

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Answers

Answer:

A

Step-by-step explanation:

1/2f

Answer:

A

the first option

Step-by-step explanation:

log3(4x)=2
[tex]log3(4x)=2[/tex]

Answers

I need more of an explanation to answer your question

A rectangle has an area of 24 cm2. Function f gives the length of the rectangle, in centimeters, when the width is w cm.



Determine if each value, in centimeters, is a possible input of the function.



3

Answers

Answer:

Input is the value of w and the function f = 24/w as length x breadth = area of rectangle

Heart if this helped

What is the solution to the system below? x + 5y = 4
x - 5y = -16

(6,-2)
(2,-6)
(-6,2)
(-2,6)​

Answers

Answer:

(-6,2) third option is correct

Step-by-step explanation:

x+5y=4    equation1

x-5y=-16   equation 2

by adding both equations we got

2x=-12

x=-6

now put x=-6 in any of the equation to get y...

-6+5y=4  equation 1      

5y=4+6

5y=10

y=10/5

y=2

(-6,2)

Answer:

(-6, 2)

Step-by-step explanation:

Put (-6, 2) into eq1 and eq2

1. (-6) +5(2)= -6 +10 =4  

2.(-6) - 5(2)= -6-10 = -16

only one that works is (-6, 2)

Tanya has a $50 gift card to spend on Amazon. She wants an airpod case cover for $12.
She also wants to buy some bracelets for $9.50 each. How many bracelets can she buy
without going over?

Answers

Answer:

4

Step-by-step explanation:

She can buy 4 bracelets because 4 x 9.50 = 38 + 12 = 50. So 4 would fit her budget perfectly without going over. LEt me know if you find any fault in my answer! Thanks! Have a good day! Hope this helps!

.............................................................................................

Answers

Answer:.............................................................................................

Step-by-step explanation:

.............................................................................................

Can someone please help me?

Answers

Answer:

Isosceles!

Hope this helped!

HELP!!!! A quarter circle is attached to the side of a square as shown.

What is the best approximation for the area of this figure?

Use 3.14 to approximate pi.

Answers

Answer:

28.56 m²

Step-by-step explanation:

What we need to do for the quarter circle is use the following formula: 1/4(πr²)

(4 * 4) + 1/4(3.14 * 4²)

16 + 1/4(3.14 * 16)

16 + 1/4(50.24)

16 + 12.56

28.56 m²

The best approximation for the area of this figure is 28.56 m².

Answer:

28.6 m2

Step-by-step explanation: I took the test

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