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3 years ago

Find the value of x round to the nearest tenth, i'm good with all other trigonometry lol

Mathematics

1 answer:

liraira [26]3 years ago

6 0

Answer:

8.4 cm

Step-by-step explanation:

The sides involved are opposite and adjacent to the given angle. Therefore, you should use the tangent ratio.

Substitute:

tanx = opp/adj

tan35 = x/12

Multiply by 12 on both sides:

12(tan35) = (x/12)12

12(tan35) = x

Solve:

12(tan35) = x

8.4 = x

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Sin(x)-tan(x)cos(x)+cos(π/2-x)

Gala2k [10]

Answer:

sin(x)

Step-by-step explanation:

7 0

3 years ago

1. A retirement account is opened with an initial deposit of $8,500 and earns 8.12% interest compounded monthly. What will the a

Rudik [331]

Answer:

Part A) $\$42,888.48$

Part B) $A=\$22,304$

Part C) The graph in the attached figure

Step-by-step explanation:

Part A) What will the account be worth in 20 years?

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=20\ years\\ P=\$8,500\\ r=0.0812\\n=12$

substitute in the formula above

$A=8,500(1+\frac{0.0812}{12})^{12*20}$

$A=8,500(1.0068)^{240}$

$A=\$42,888.48$

Part B) What if the deposit were compounded monthly with simple interest?

we know that

The simple interest formula is equal to

$A=P(1+rt)$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

in this problem we have

$t=20\ years\\ P=\$8,500\\r=0.0812$

substitute in the formula above

$A=8,500(1+0.0812*20)$

$A=\$22,304$

Part C) Could you see the situation in a graph? From what point one is better than the other?

Convert the equations in function notation

$A(t)=8,500(1.0068)^{12t}$ ------> equation A

$A(t)=8,500(1+0.0812t)$ -----> equation B

using a graphing tool

see the attached figure

Observing the graph, from the second year approximately the monthly compound interest is better than the simple interest.

5 0

3 years ago

What is the measure of EBC?

kramer

Answer:

To measure EBC colour, the light absorption is detected at 430 nm (MEBAK 2.16. 2 respectively EBC 9.4). ... Then the absorption will be measured in a 10mm cuvette. The sample will be diluted until the absorption is less than 2 Extinction units (E430). EBC colour = E430 x 25 x dilution factor.

Step-by-step explanation:

hope this helped

7 0

3 years ago

Zack buys some oranges from a store. The oranges cost $4.00 for 2 pounds. He wants to buy more fruit, but at the same price per

SSSSS [86.1K]

Answer:

Step-by-step explanation:

The oranges cost $4 per 2 lbs which is 4/2=$2 per lb. Option C has peaches at $6 for 3 lbs which is 6/3 =$2 per lb.

5 0

2 years ago

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6=1-b b=? D: help please

pishuonlain [190]

Hey there! :)

6 = 1 - b

Like I mentioned in my previous answer, we must isolate our variable. In this case, our variable is b.

So, our first step is to subtract 1 from both sides.

6 - 1 = 1 - b - 1

Simplify.

5 = b

Therefore, b = 5

~hope I helped~

4 0

3 years ago

Read 2 more answers