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lesya [120]
2 years ago
9

324=1409-1400cos(x) What’s x equal ?

Mathematics
1 answer:
exis [7]2 years ago
8 0

Answer:

x ≈ 39.2°

Step-by-step explanation:

Given

324 = 1409 - 1400 cos x ( subtract 1409 from both sides )

-1085 = - 1400 cos x ( divide both sides by - 1400 )

0.775  = cos x, thus

x = cos^{-1} (0.775) ≈ 39.2° ( to 1 dec. place )

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Write the following equation in slope intercept:<br> 2x + 3y = 12
nekit [7.7K]

Y = mx + b

2x + 3y = 12

3y = -2x + 12

y = -2/3 + 4

3 0
3 years ago
Read 2 more answers
Find the value. Please
SIZIF [17.4K]
CosA = 12/20 which is 3/5
5 0
3 years ago
20 points and will mark brainliest
mixer [17]

Answer:

a \leqslant x \leqslant e

Step-by-step explanation:

The domain is simply the farthest left ppint to the farthest right point on the graph.

4 0
3 years ago
Kenya plans to make a down payment plus monthly payments in order to buy a motorcycle. At one dealer
m_a_m_a [10]

Answer:

After 20 months the total amount paid would be same for both

The amount is $5500

Step-by-step explanation:

* Lets explain how to solve the problem

- Kenya plans to make a down payment plus monthly payments in

 order to buy a motorcycle

- There are two dealer

# 1st : she would pay $2,500 down and $150 each month

# 2nd : she would pay $3,000 down and $125  each month

- We need to know after how many months the total amount paid

 would be the same for both dealers

* Lets change the two dealer to two equations

- Let f(x) represents the total amount of the motorcycle in x months

∴ f(x) = 2500 + 150 x ⇒ 1st dealer

∴ f(x) = 3000 + 125 x ⇒ 2nd dealer

- Equate the two equations

∴ 2500 + 150 x = 3000 + 125 x

- Subtract 125 x from both sides and 2500 from both sides

∴ 150 x - 125 x = 3000 - 2500

∴ 25 x = 500

- Divide both sides by 25

∴ x = 20

* After 20 months the total amount paid would be same for both

- To find the amount substitute the value of x in one of the

  two equation

∵ f(x) = 2500 + 150 x

∵ x = 20

∴ f(x) = 2500 + 150 (20)

∴ f(x) = 2500 + 3000

∴ f(x) = 5500

∵ f(x) represents the total amount of the motorcycle

* The amount is $5500

8 0
3 years ago
If (fog)(x)=7x-1/3 and f(x)=3x+5,find g(x),where g(x)is linear<br>​
Svetach [21]

Answer: g(x) = \dfrac73x-\dfrac{16}{9}

Step-by-step explanation:

Given: (fog)(x)=7x-\dfrac13

f(x)=3x+5

and g(x) is linear.

A linear function is of the form : y= mx+c

Let g(x)= mx+c

Then, (fog)(x)=f(g(x))= f(mx+c)

= 3(mx+c)+5\\\\=3mx+3c+5

Comparing it with the original (fog)(x), we get

3mx+3c+5=7x-\dfrac{1}{3}

Comparing coefficient of x and constants separately

3m=7,\ \ \ \ 3c+5=-\dfrac13\\\\\Rightarrow\ m=\dfrac{7}{3},\ \ \ \ 3c =-\dfrac{1}{3}-5\\\\\Rightarrow\ m=\dfrac{7}{3},\ \ \ \ 3c =-\dfrac{16}{3}\\\\\Rightarrow\ m=\dfrac{7}{3},\ \ \ \ c =-\dfrac{16}{9}

So, g(x) = \dfrac73x-\dfrac{16}{9}

3 0
3 years ago
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