20 Points

Write 1378 in expanded form <br><br> 1378=

olganol [36]

Answer:

1000+ 300+ 70+ 8=1378

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

An observer (O) spots a bird flying at a 35° angle from a line drawn horizontal to its nest. If the distance from the observer (

romanna [79]

Answer:

The correct option is;

17,202 feet

Step-by-step explanation:

The distance from the observer to the bird is given as 21,000 ft

The angle between the line of flight of the bird to the horizontal line from its nest = 35°

With the triangle BNO = A right triangle, we have;

The distance of the bird from its nest = Adjacent leg of the right triangle

The distance of the observer from the bird = Hypotenuse length

Which by trigonometric relations gives;

$cos(35 ^{\circ} )= \dfrac{Adjacent\ leg \ length}{Hypotenuse \ length} = \dfrac{Distance\ of \ bird \ from \ its \ nest}{21,000}$

21,000×cos(35 degrees) = The distance of the bird from its nest = 17,202.2 feet ≈ 17,202 feet.

6 0

4 years ago

Jason has $2 worth of dimes and quarters. He has 13 more dimes than quarters. By following the steps below, determine the number

Crazy boy [7]

Jason has $2 worth of dimes and quarters. He has 13 more dimes than quarters. The Number of dimes = 15 and Number of quarters = 2.

<h3>What is a linear equation?</h3>

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.

The total money = $2 = 200 cents

Types of coins are dimes and quarters

Number of dimes are 13 more than quarters

let number of dimes be x and quarters be y

so our equation

$10x + 25y = 200\\x = (y+13)\\10(y+13) +25y= 200\\10y + 130 +25y = 200\\\\35y + 130 = 200\\y = 70/35 = 2$