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2 years ago

If tan 0=3/4 find sin0

Mathematics

1 answer:

bija089 [108]2 years ago

6 0

Answer:

sin O = $\frac{3}{5}$

Step-by-step explanation:

given tan O = $\frac{3}{4}$ = $\frac{opposite}{adjacent}$

Then this is a right triangle with legs 3 and 4

Using Pythagoras' identity then the hypotenuse (h ) is

h = $\sqrt{3^2+4^2}$ = $\sqrt{25}$ = 5, hence

sin O = $\frac{opposite}{hypotenuse}$ = $\frac{3}{5}$

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Liono4ka [1.6K]

Answer:

A. JK = 12, JK is parallel to LM

D. JK = 8, JM = 12

Step-by-step explanation:

Based on the given figure above, the additional facts that would guarantee that JKLM is a parallelogram are answers A and D.

By definition, a parallelogram is a figure that has opposite sides parallel or it has two pairs of sides that are parallel.

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3 years ago

The longest side of an acute triangle measures 30 inches. The two remaining sides are congruent, but their length is unknown.

lakkis [162]

The smallest perimeter is 72.44 inches. The longest side of an acute triangle measures 30 inches. The two remaining sides are congruent, but their length is unknown. As much as possible, the sum of the length of the two remaining side must be greater than the other side. Given the side is 30, then the sum of the two remaining sides should be greater than 30 inches.

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3 years ago

Logan took out $23,400 in student loans to attend college at a compound interest rate of 5%. He deferred payments for two years.

blagie [28]

Answer:

$25,740

Step-by-step explanation:

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2 years ago

Solve the system by substitution Y= -7x + 6 Y = - 10x Plz help

snow_tiger [21]

Answer:

(-2, 20)

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

Algebra I

Coordinates (x, y)
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = -7x + 6

y = -10x

Step 2: Solve for x

Substitution

Substitute in y [1st Equation]: -10x = -7x + 6
[Addition Property of Equality] Add 7x on both sides: -3x = 6
[Division Property of Equality] Divide -3 on both sides: x = -2

Step 3: Solve for y

Substitute in x [2nd Equation]: y = -10(-2)
Multiply: y = 20

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2 years ago

Read 2 more answers