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

Part A: If (72)x = 1, what is the value of x? Explain your answer. (5 points)

vichka [17]

Answer:

see below

Step-by-step explanation:

Part A: (72)^x = 1

Take the log base 72 of each side

log72(72^x) = log 72(1)

We know log a^b = b log a

x log72(72) = log72(1)

x = log72(1)

x = 0

Part A: (70)^x = 1

Take the log base 70 of each side

log70(70^x) = log70(1)

We know log a^b = b log a

x log70(70) = log70(1)

x = log70(1)

x = 0

7 0

3 years ago

A relay team of 4 swimmers is to be formed from a swim team with 20 member. How many different relay teams are possible?

Mars2501 [29]

<span>When order does not matter you use what is called n choose k formula

n!/(k!(n-k)!) where n is the number of things to choose from and k is the number of choices made, in this case:

20!/(4!(20-4)!)=4845</span>

5 0

3 years ago

How many centimeters are in 12 inches

yarga [219]

There are exactly 2.54 centimeters in 1 inch.
So 12 multiplied by 2.54 = 30.48 centimeters.
There are 30.48 centimeters in 12 inches.
Hope this helped!

8 0

3 years ago

Read 2 more answers

Mrs. Grayson uses 2/ 3 of a dozen eggs to make a small chiffon cake. If she wants to bake 6 small chiffon cakes, how many dozen

Taya2010 [7]

Answer:

Step-by-step explanation:

For one cake= 2/3 dozen

for 6 cakes= 2/3x6=4 dozen

5 0

2 years ago

Read 2 more answers

John was given the equation 4(2a + 3)= -3(a - 1) + 31 - 11. Some steps an their reasons have already been completed. State a pro

cestrela7 [59]

Answer:

- Disitributive property.

- Addition property of equality.

Step-by-step explanation:

The complete exercise is attached.

For this exercise you need to remember the following properties:

1. The Distributive property states that:

$c(a+b)=ac+bc\\\\c(a-b)=ac-bc$

2. The Addition property of equality states that:

$If\ a=b\ then\ a+c=b+c$

Then, given the equation:

$4(2a + 3)= -3(a - 1) + 31 - 11a$

You can identify that the first property John used was the Distributive property:

$(4)(2a) + (4)(3)= (-3)(a) +(-3)(- 1) + 31 - 11a\\\\8a+12=-3a+3+31-11a$

After combining like terms, you can identify that the next property he applied was the Addition property of equality, adding $14a$ to both sides of the equation:

$8a+12+(14)=-14a+34+(14)\\\\22a+12=34$

8 0

3 years ago