All categories

3 years ago

Which of the following equations could be used to solve for x in the triangle shown? tan48°=10/x

Mathematics

1 answer:

galben [10]3 years ago

4 0

Acronym to remember the 3 basic trigonomic functions:

Soh - Cah - Toa

opposite
sin = --------------------
  hypotenuse

adjacent
cos = -------------------
hypotenuse

opposite
tan = -----------------
adjacent

In your case, you can set up a sine trigonomic function, like this:

Sin 48 = 10 (adjacent)
-----
x (hypotenuse)

    10
(x) Sin 48 = ------ (x)
     x

  (x) Sin 48 = 10
-------------- -------------
Sin 48 Sin 48

Plug in 10(sin)(48) into a calculator.

x = 7.43

I just realized that you didn't ask me to find the answer, but now you will know even more than you need to :D

You might be interested in

Need answer for 8th question ASAP

Ainat [17]

In this problem, we need to use squaring method.

5² means 5 × 5

5² = 25

12² means 12 × 12

12² = 144

So, simplify these statements:

5² × 12²

25 + 12² (Simplify 5², which means 5 × 5)

25 + 144 (Simplify 12², which means 12 × 12)

We get the answer:

25 + 144 =

<em>Hope this helps :)</em>

4 0

2 years ago

Solve the equations

ASHA 777 [7]

Answer:

(1)The value of x is -9 .

Option (B) is correct .

(2)The value of x is 13 .

Option (A) is correct .

(3)The value of the x is 11 .

Option (D) is correct .

(4) The value of the x is -15 .

Option (A) is correct .

(5)The value of the x is -11 .

Option (C) is correct .

Step-by-step explanation:

First Part

As given

4x = -36

$x = \frac{-36}{4}$

x = -9

Therefore the value of x is -9 .

Option (B) is correct .

Second Part

As given

5x - 15 = 50

5x = 50 + 15gg

5x = 65

$x = \frac{65}{5}$

x = 13

Therefore the value of x is 13 .

Option (A) is correct .

As given

4(x+2)-17=35

4x + 8 - 17 = 35

4x = 35 + 17 - 8

4x = 44

$x = \frac{44}{4}$

x = 11

Therefore the value of the x is 11 .

Option (D) is correct .

Fourth Part

As given

6x+12=4x-18

6x-4x = -12-18

2x = -30

$x = \frac{-30}{2}$

x = -15

Therefore the value of the x is -15 .

Option (A) is correct .

Fifth Part

As given

$\frac{1}{2}(4x-10)+5=x-11$

Simplify the above

4x-10+5×2 = 2x-22

4x-10+10= 2x-22

4x-2x = -22

2x=-22

$x = \frac{-22}{2}$

x = -11

Therefore the value of the x is -11 .

Option (C) is correct .

5 0

4 years ago

Read 2 more answers

Sarah's age is four more than twice her brothers age. Write two equivalent algebraic equations that can be used to find their ag

marissa [1.9K]

Answer:

Step-by-step explanation:

Let her brother's age be x

Sarah is 2x + 4

3 0

3 years ago

The graph of an exponential function y=ab^x, if 0 0 and x>0.<br> True or False?

emmasim [6.3K]

Im going to say falseStep-by-step explanation:

4 0

3 years ago

Read 2 more answers

4 (3x + 2)-6<br> I neeeed help

yuradex [85]

Answer:

12x - 2

Step-by-step explanation:

Step 1: Write expression

4(3x + 2) - 6

Step 2: Distribute 4

12x + 8 - 6

Step 3: Combine like terms

12x - 2

5 0

3 years ago