2 years ago

What is the value of x

Mathematics

1 answer:

Gemiola [76]2 years ago

6 0

9514 1404 393

Answer:

x = 10

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation ...

Sin = Opposite/Hypotenuse

sin(30°) = 5/x

Solving for x, we get ...

x = 5/sin(30) = 5/0.5

x = 10

_____

It can be helpful to remember that the side ratios in a 30°-60°-90° triangle are ...

1 : √3 : 2

That is, the hypotenuse is 2 times the length of the side opposite the 30° angle. Here, that means x = 2×5 = 10, as we found above.

You might be interested in

Anastasia’s mom baked a giant sugar cookie for her birthday. On her birthday, ⅝ of the birthday cookie was eaten. The next day h

devlian [24]

Answer:

9/32 of the cookie was left for Stephanie to eat after lunch

Step-by-step explanation:

Anastasia’s mom baked a giant sugar cookie for her birthday.

On her birthday, ⅝ of the birthday cookie was eaten.

So, remaining cake = $1 - \frac{5}{8}=\frac{3}{8}$

The next day her brother ate ¼ of what remained.

Amount of cake eaten by her brother = $\frac{1}{4}(\frac{3}{8})=\frac{3}{32}$

So, remaining cake = $\frac{3}{8}-\frac{3}{32}=\frac{12-3}{32}=\frac{9}{32}$

Hence 9/32 of the cookie was left for Stephanie to eat after lunch

6 0

3 years ago

Hi guys, how to calculate this in system? {2a+3b=14 {5b+4a=20 Thanks,

Tom [10]

Step-by-step explanation:

there it is

and if u need more help tell me

5 0

2 years ago

The ratio of a model scal die cast motorcycle is 1:18. the model is 5.25 inches long. what is the length of the actual motorcycl

Rudik [331]

1: 18 = 5.25/x
18(5.25)=1x
94.5=1x
94.5/1=1x/1
94.5= 7ft 10 1/2 in
PROBABLY WRONG CHECK WITH SOMEONE

4 0

2 years ago

If you placed $1,000.00 in a savings account with an interest rate of 4.5% month versus an account with 3.75% month, how much in

Setler [38]

The answer would be C. Hope this helps!

7 0

2 years ago

In form ax+by+c=0

pav-90 [236]

I don't get you but if you transform the equation to it's standard form, it will be
3x+4y=4
First, Multiply each term by 4:
y(4)=-3x/4(4)+1(4)
4y=-12x/4+4
4y=-3x+4
Now add 3x to both sides of the equation:
4y+3x=-3x+3x+4
3x+4y=0+4
3x+4y=4

5 0

3 years ago