Which shows the prime factorization of 36?

PQR is a right angled triangle calculate the size of angle marked x

romanna [79]

Answer:

$\displaystyle x \approx 37.4^\circ$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA
[Right Triangles Only] cosθ = adjacent over hypotenuse

Step-by-step explanation:

Step 1: Define

Angle θ = x

Adjacent Leg = 5.8

Hypotenuse = 7.3

Step 2: Solve for x

Substitute in variables [Cosine]: $\displaystyle cosx^\circ = \frac{5.8}{7.3}$
[Fraction] Divide: $\displaystyle cosx^\circ = 0.794521$
[Equality Property] Trig inverse: $\displaystyle x^\circ = cos^{-1}(0.794521)$
Evaluate trig inverse: $\displaystyle x = 37.39^\circ$
Round: $\displaystyle x \approx 37.4^\circ$

8 0

3 years ago

What name is given to the price dealerships pay for vehicles

german

Answer:

The answer is...

Step-by-step explanation:

Cost

4 0

3 years ago

Read 2 more answers

Dave has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly. How much money w

ioda

Dave will have $12,728 after 15 years, if he has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly.

Step-by-step explanation:

The given is,

Investment = $ 8000

No. of years = 15 years

Interest rate, i = 3.1 %

( compounded monthly )

Step:1

For for calculating future value with compound interest monthly,

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

Where,

A = Future amount

P = Initial investment

r = Rate of interest

n = Number of compounding in a year

t = Time period

Step:2

From given values,

P = $8000

r = 3.1%

t = 15 years

n = 12 ( for monthly)

Equation (1) becomes,

$A = 8000( 1+\frac{0.031}{12} )^{(12)(15)}$

$= 8000 (1+0.002583)^{180}$

$= 8000(1.002583)^{180}$

$= 8000(1.591059)$

$=12728.48$

A = $ 12728.48

Result:

Dave will have $12,728 after 15 years, if he has $8000 to invest for 15 years. He finds a bank that offers an interest rate of 3.1% compounded monthly.

8 0

3 years ago

Find the slope of the line that passes through the points (2,4) and (6,+2)

lesya [120]

Slope is -1/2
2-4/6-2=
-1/2
m=-1/2

8 0

3 years ago

432 tk. is divided amongst three workers A, B and C such that 8 times A's share is equal to 12 times B's share wich is equal to

Flura [38]

Answer:

A got 243 tk

Step-by-step explanation:

Supose the amount C got was "x"

12 times B's share is 6 times C's share, that would be:

B = 6x

Also, 8 times A's share is 12 times B's share, that would be:

8A = 12B

8A = 12(6x)

8A = 72x

A = 72x/8

A = 9x

Now, we can say:

A = 9x

B = 6x

C = x

We know total is 432, thus we can write and solve for x first:

A + B + C = 432

9x + 6x + x = 432

16x = 432

x = 432/16

x = 27

A got "9x", so plugging in x = 27, we know:

A got 9*27 = 243 tk

7 0

3 years ago