All categories

3 years ago

Refer to image below

Mathematics

1 answer:

il63 [147K]3 years ago

5 0

Answer:

A ≈ 40°

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
Subtract Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA
[Right Triangles Only] sinθ = opposite over hypotenuse

Step-by-step explanation:

Step 1: Identify

Angle θ = A

Opposite Leg = 27

Hypotenuse = 42

Step 2: Solve for A

Substitute [sine]: sinA = 27/42
Simplify: sinA = 9/14
Trig inverse: A = sin⁻¹(9/14)
Evaluate: A = 40.0052°
Round: A ≈ 40°

You might be interested in

Julie made a 3 ft. Long submarine sandwich. She is going to cut it into 5 equal length pieces. How long will each piece be?

sergiy2304 [10]

3/5 of a foot long or 0.6 of a foot

6 0

3 years ago

Read 2 more answers

Jamie was conducting an experiment with fresh water and salt water and floatation of objects in fresh water the object floated 3

serg [7]

Answer:

3 3/4 - 3 1/12 = 2/3

Step-by-step explanation:

You are finding the difference which means subtraction.

4 0

3 years ago

The Pirerras are planning to go to Europe 3 years from now and have agreed to set aside $140/month for their trip. If they depos

Natalka [10]

Answer:

(a)$5805.21

(b)Least Expensive Mortgage =$120640.59

Most Expensive Mortgage =$152032.77

Step-by-step explanation:

The future value of an ordinary annuity with deposits P made regularly k times each year for n years, with interest compounded times k per year at an annual rate r, is given as:

$F.V.=\dfrac{P[(1+i)^{kn}-1]}{i}$

The Pirerra's Monthly Payments=$140

Annual Rate =9.5%

Therefore: Monthly Rate=0.095/12

Years, n=3

Period, k=12

$F.V.=\dfrac{140[(1+\frac{0.095}{12} )^{3*12}-1]}{\frac{0.095}{12} }=\$5805.21$

(b)For the Johnsons, Present value of Mortgage is derived using the formula:

$\Text{Present Lump Sum}, A_0=\dfrac{P[1-(1+i)^{-kt}]}{\frac{r}{k} }$

At $1000 Monthly payment

$\Text{Present Lump Sum}, A_0=\dfrac{1000[1-(1+\frac{0.08}{12} )^{-12*15}]}{\frac{0.08}{12} }=\$104640.59$

Adding a down payment of $16000

Least Expensive Mortgage = 104640.59+16000=$120640.59

At $1300 Monthly Payment

$\Text{Present Lump Sum}, A_0=\dfrac{1300[1-(1+\frac{0.08}{12} )^{-12*15}]}{\frac{0.08}{12} }=\$136032.77$

Adding a down payment of $16000

Most Expensive Mortgage = 136032.77+16000=$152032.77

4 0

3 years ago

If you answer you will get points and if it's right :D

EastWind [94]

2/10 and 5/25 is your answer :)

4 0

2 years ago

Read 2 more answers

Which expression is equivalent to 4(3+5)-3.94?

Anna007 [38]

Answer:

$4(3 + 5) - 3.94 \\ 4 \times 8 - 3.94 \\ 32 - 3.94 \\ = 28.06$

3 0

3 years ago